diff --git "a/data/dm_maths/full_data_1/2646_11255.jsonl" "b/data/dm_maths/full_data_1/2646_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2646_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: b\"What is the uth term of -3131, -4173, -5169, -6095, -6927?\n\"Answer: 4*u**3 - u**2 - 1067*u - 2067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41041a (base 11) to base 8.\nAnswer: 2407626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 675 is divided by 68?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 11*s**2 - 25*s + 24. Let a be i(-13). Calculate the remainder when 1427 is divided by (-14)\/(((-726)\/(-12))\/a + -6).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 <= -690923?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120 - (-33 - (-273 + 114)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256\/7*a + 2\/7*a**2 + 8192\/7 = 0. Calculate a.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x. Let q be l(3). Suppose 4*g - q = 9. Solve -3*m = -3*u - 6, g*u - 2*u = 2*m - 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1363, 1268, 1161, 1036, 887, 708, 493?\nAnswer: 236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -s**4 - 11857*s**3 - 35129322*s**2 + 105470980*s - 70329800 = 0.\nAnswer: -5930, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a centimeter in micrometers?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 90 + -40. What is the remainder when z is divided by -3*(-3)\/9*17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -0.2, 0.1, -0.1, 75, 14\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 2:54 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -76 + 29 + 20 - 278*q - 8*q**2 + 28 to x*q**2 + y*q + d and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17345?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a minute in seconds?\nAnswer: 648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 53 = -4. Let q(w) be the first derivative of 5 - 1\/2*w**2 - 6*w. What is q(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -7 - 1. Suppose 4*l = -l - r*c - 10, -5*c = -l - 2. Let y be -14 - (-3 + (-4)\/l). Sort 0, -1\/4, y in ascending order.\nAnswer: y, -1\/4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 521, 2, -24, 163 in descending order.\nAnswer: 521, 163, 2, 1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 1 = -19. Suppose 0 = -p*d - 4*c + 2 - 1, 0 = -4*d + 4*c - 28. Put d, -2, 0, 3 in decreasing order.\nAnswer: 3, 0, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87.034416 rounded to 2 dps?\nAnswer: -87.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**2 + 47518800*y + 141127272090000 = 0. What is y?\nAnswer: -5939850","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231 is divided by 40.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0084*-7.\nAnswer: 0.0588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1860 and 498015?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of q**8\/56 - q**5\/15 - 2*q**2 + 3. Let u(g) be the second derivative of k(g). Find the third derivative of u(o) wrt o.\nAnswer: 360*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/4, 1\/4, -5\/73, -0.016, 34, 4?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 6*a - 10. Let y be k(-7). Let p = 12 - 42. Is ((-1)\/y)\/((-2)\/p) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19075584 and 391424?\nAnswer: 2651506176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 215196 and 107598?\nAnswer: 215196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1990301, 1990284, 1990267, 1990250, 1990233?\n\"Answer: -17*t + 1990318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 68 and 16166674.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/48)\/((-1)\/(-16)). Suppose 10 = 2*z - 0. Sort a, 3, z in increasing order.\nAnswer: 3, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.03 - 0.47. Let c = -4.500128 - g. Round c to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -688821, -1, -0.4 in increasing order.\nAnswer: -688821, -1, -0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8918 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 9:33 AM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1717557173 at most 1717557173?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -63\/62 - 4521\/310. Let j = -863\/55 - p. Which is the third biggest value? (a) j (b) -2\/21 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**3 - 95*y + 23*y - 46*y)*(-2 + 5 - 1).\nAnswer: 4*y**3 - 236*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 10:47 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25*b**3*d**3*k**2 - 2*b**3*d**3*k + 4*b**2*d**3*k + 2*b**2*k**2 + 3*b*d**3 - k**2 wrt b?\nAnswer: 150*d**3*k**2 - 12*d**3*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 83639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 9789\/(-32379)*(-15)\/(-65)\nAnswer: -3\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(8\/11)\/(h\/h**(3\/26)) assuming h is positive.\nAnswer: h**(-45\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 12*u - 4*u = 6*u - 16, -4*a = -11*u + 69*u + 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -157, 61, 1, 3, -1 in ascending order.\nAnswer: -157, -1, 1, 3, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*y - 29*y - 15*y)*(5 - 2*y - 7 - 4)*(3*y - y + y).\nAnswer: 180*y**3 + 540*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 608582826.\nAnswer: 2, 3, 33810157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**4 - 24003*k**3 - 120069*k**2 - 168117*k - 72054 = 0. What is k?\nAnswer: -3, -1, 8006","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -2*t**3\/9 - 2*t**2\/9 + 100*t\/9 - 32\/3 = 0?\nAnswer: -8, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32369388.\nAnswer: 2, 3, 19, 141971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -19, -70, -161, -298, -487, -734, -1045?\n\"Answer: -u**3 - 14*u**2 - 2*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 5*q + 19, -3*n - 5*q = -0*q + 9. Calculate the greatest common divisor of 12 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1125728 is divided by 696?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 75 = -0*s - 5*v, 5*s = -3*v + 35. Let a be ((264\/s)\/(-6))\/(1\/(-5)). Calculate the greatest common factor of 33 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -84165, -168313, -252443, -336549, -420625?\n\"Answer: l**3 + 3*l**2 - 84164*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2129a2 (base 11) to base 2.\nAnswer: -1010011001001111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1253 - -1254.55. What is j rounded to 1 decimal place?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, k: 1, r: 3, p: 2}. What is prob of picking 2 p?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 439?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2681311, 5362626, 8043941?\nAnswer: 10725256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 9*z. Suppose 0 = -z*o - 3*o - 240. Let l be 3\/(-2)*o\/15. Solve j + 2*j + l = 4*a, 4*j = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*v - 1093 + 1093)*(-3*v**4 + 3*v**2 - 3*v**2 + (0*v - v + 2*v)*(v**3 + v**3 - 4*v**3)).\nAnswer: -195*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2529\/562)\/((-21)\/70).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124.71 minutes to hours.\nAnswer: 2.0785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/3 - 4210894*h**2\/3 + 2216497748630*h\/3 - 15514865245166.\nAnswer: 2*(h - 1052713)**2*(h - 21)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*p**3 - 2210*p**3 + 33059*p**3.\nAnswer: 30921*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -669918 by -223306.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9489227551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -x**4\/24 - 303*x**2 - 2. Let g(t) = 10*t - 1. Calculate w(g(h)).\nAnswer: -10*h + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14826 is divided by 5575?\nAnswer: 3676","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0581 + -0.2581. Which is the nearest to q? (a) -4 (b) -0.14 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 136784.999756 - 136784. Let x = -1 + t. Round x to 5 dps.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -1\/111, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**3 + 5*k**3 - 4*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 42*d**3 - 2351*d**2 - 129*d + 110. Determine x(56).\nAnswer: -3978","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 50723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-138)\/(-126))\/((-4)\/(-174)). Let k = -8\/7 + a. Calculate the common denominator of k and 73\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 270 divide 419087250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 3. Suppose -p + 12 = -v*y, 2*y + 53 = 3*p + 4*y. Suppose 4*q - 7 = m, 2*m + 2*q - 35 = -m. Calculate the remainder when p is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ebgs when four letters picked without replacement from epgesxbs.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -132703482*x**3*y + 2*x**2*y - 1291*x**2 - 84*x*y - 5*x - 2 wrt x?\nAnswer: -796220892*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00326699 less than 313?\nAnswer: 312.99673301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**5\/5 - 101*h**4 - 74317*h**3\/5 - 2625331*h**2\/5 - 18493582*h\/5 - 15942064\/5 = 0. What is h?\nAnswer: -229, -38, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven thirds of a hour?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 5227*b. Let z(x) = 2*x**2. What is z(s(m))?\nAnswer: 54643058*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 4*q**2 + 5*q - 5. Let z(f) = 8*f**2 + f. Let u be z(1). Let x = -5 + u. What are the prime factors of r(x)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 57064 and -3216769.7?\nAnswer: 3273833.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(14)\/(2*sqrt(2) + sqrt(2)) + sqrt(140)\/sqrt(5))**2.\nAnswer: -686\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -73 + 95. Let l = x - 22. Let 5\/2*k**5 + l + 7\/2*k**2 - 3\/2*k**3 - k - 7\/2*k**4 = 0. Calculate k.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*a**3 + 63*a**3 - 27*a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1258, 2533, 3806, 5077?\n\"Answer: -m**2 + 1278*m - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**1)**(1\/66))**43 assuming q is positive.\nAnswer: q**(43\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 180*w**4 + 961*w**4 - 1313*w**2 - 741 + 1315*w**2 wrt w.\nAnswer: 27384*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 252 and 364?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -10*y**2 + 22*y + 41*y**2 - 14*y**2 - 15*y**2 - 66. Let n be i(-24). What is the highest common divisor of n and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 576863491.\nAnswer: 576863491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 2.3, 0.299, 4, 28?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -5*v**3 - 17*v**2 - 9*v + 3. Let i(d) = -10*d - 2*d**3 + 4*d**2 - 12*d**2 + 2 + 6*d. Let t(c) = -7*i(c) + 3*j(c). Give t(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -341 - 43.4593378.\nAnswer: -384.4593378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 1764.\nAnswer: 8820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 45 = 4. Suppose 2*l = 7*l - 175. Let h = i - l. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 464*g + 150*g + 193*g + 76*g.\nAnswer: 883*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36 + 66. Calculate the greatest common factor of 180 and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**1))\/(w*w**(-1\/8)*w)*w**(-4\/7)\/w**(-5))\/(((w\/w**(-2\/7)*w)\/(w\/w**3))\/((w\/w**(-7))\/w**(-3\/7))) assuming w is positive.\nAnswer: w**(319\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (504\/(-1023))\/(-1 - 1). Let f = j - 2\/31. Let a = 0.04 - 0.04. Which is smaller: f or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00827127 to 4 dps.\nAnswer: -0.0083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 + 2*n**2 - 2*n**2)*(-n + 12 - 5*n - 17).\nAnswer: 12*n**3 + 10*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hwwh when four letters picked without replacement from {h: 4, e: 2, w: 3, i: 8}?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 50780?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3761732 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -276848 - -690209. Let u = 213361 - z. What is u rounded to the nearest 10000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2697109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -u - 5*i, -43 = -2*u - 0*u - i. What is the first derivative of -26 - 49 + u - 18 + 39*t wrt t?\nAnswer: 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 4 - 4)*(-4*t**4 + 5*t**4 + 19*t**4).\nAnswer: -20*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 1579*g - 2. Let d(r) = -2984*r**2 - 3014*r**2 + 5997*r**2. What is u(d(k))?\nAnswer: -1579*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*c - 262 - 2*c - 4*c - 30 + 292.\nAnswer: -15*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -21.19 and 17?\nAnswer: 38.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3259 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: In base 7, what is 125 + -5346210?\nAnswer: -5346052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18914?\nAnswer: 2, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 8112*s - 16221*s + 8112*s - 617 in the form t + y*s and give t.\nAnswer: -617","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 13037257?\nAnswer: -13037263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(48\/6 - 12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, t: 2, s: 3, h: 1, r: 1, z: 3}. What is prob of sequence sz?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13122094\/5 or -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*r**2 + 6*r**2 - 12*r**2 + r + 24*r**2.\nAnswer: 34*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 7, -30769.\nAnswer: -30769, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -119 - (-126 + 7) - (1 + 25).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -2*a - 16, -j = 4*a - 0 - 13. Suppose -w - 2*n = -j*n - 21, -5*w = -n - 91. What is the smallest common multiple of 18 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 1.3445, -4, -1\/2, 3, 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.538*-15\nAnswer: 8.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3. Let y(u) = 23*u**3 + u. Let z be ((-1*4)\/2 - (159 + -162))*1. Calculate z*y(j) + 3*f(j).\nAnswer: 26*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/68 and -131\/30.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/4 + -1)*-8. Let h = 28 + -24. Factor d*a**3 - 2*a + 3*a - h*a**2 - 3*a**3 + 3*a.\nAnswer: a*(a - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of 2*d**3\/3 - 3*d**2\/2 + 2. Give w(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 524727 in 3, 4\/7, 2\/9, -4\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3*(4 + 0 + -5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/sqrt(4)*4 + (sqrt(44)\/sqrt(2))\/sqrt(2).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -123*b - 172.\nAnswer: -123","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-5)*6*5\/(-2). What is the third derivative of -37*u**x + 7*u**3 - 36*u**2 - 2*u**3 - 5*u**3 wrt u?\nAnswer: -4440*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v. Let i be x(-2). Calculate the remainder when (-2 - 73)\/((-3)\/(-6)*i) is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ususpkkmkks. What is prob of sequence sk?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 391371*h**2*j - 14*h**2 + 13*h*j - 147316*h + 4*j wrt h.\nAnswer: 782742*j - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - g + g. Which is smaller: g or -1\/173?\nAnswer: -1\/173","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 42 + 8 + 7*b + 15. Let s be a(-9). Solve 0 = 4*f - 4*o + 12, -s*o = -2*f + 2*o - 10 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1003980*j**2 - 9*j + 23183420 wrt j?\nAnswer: 2007960*j - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 7*u - u + 11*u - 4 + 3 + 6. Calculate x(-2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c**2 + 6000774 - 6000774.\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105158254 + 2*g + 105158254.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(3\/7)*j)\/(j*j**(-1\/16)\/j))\/((j**(7\/8)\/j*j)\/(j**(-12)\/j*j)))**21 assuming j is positive.\nAnswer: j**(-3825\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-15 - 10 - -1).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**2 + 89616528*q - 1003890261346848 = 0. What is q?\nAnswer: 22404132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -1211?\nAnswer: -1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/5 (b) 2 (c) -1 (d) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 227 (base 8) in base 9?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*r**2*u*v**2 - 96*r**2*u + r**2*v + 2*u*v**5 + 6*u*v**3 - 2*u*v wrt v.\nAnswer: 4*r**2*u + 40*u*v**3 + 36*u*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -534312 (base 11) in base 16?\nAnswer: -d0b5e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 2700535?\nAnswer: -540107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*r + n + 67 - 2 = 0, -3*n = 4*r + 43 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1284874447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -20, -29, -26, -5, 40?\n\"Answer: m**3 - 16*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**3 + 40*u**2 - 9*u - 177. Let z be l(-20). Solve -t - 14 = -5*x - 0*t, -3*t = -z for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -821 - -787 - (-57 - -2)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12.7649 - 0.3351. Is c > 0.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4837 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 20 = 4*k - 5*f, 5*f - 70 = 2*k. Let c = -14 - k. Does 8 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 o when two letters picked without replacement from toyeueau.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 271*j + 36*j + 34*j + 12276. Suppose 5*m - 49 = -234. Which is smaller: m or j?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + 24\/(-18))\/(2\/6). Suppose 18 = f*h - 14. Suppose -t = -h - 80. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -a**3\/3 + 7*a - 33. Calculate q(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 7*o**2 + 38*o - 65. Let m be j(-8). Calculate the greatest common divisor of m and 31.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3110988 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41275.39 + 41275. Which is the closest to l? (a) 2 (b) -1\/7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5708511673?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -f*g**3*r + 7*f*g**2 - 7*f*g - 109489*g**3*r**2 + 213*g**3 - 2*g wrt r?\nAnswer: -f*g**3 - 218978*g**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3a + -13a775a?\nAnswer: -13a7720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) 4 (b) 5 (c) -1\/5 (d) -0.77\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(4*sqrt(4356)*2 - 5*(sqrt(4356) + sqrt(4356)*-2)))\/(6*sqrt(60)\/(sqrt(10)\/sqrt(2)) - (sqrt(120)\/sqrt(90) - -4*sqrt(108))))**2.\nAnswer: 8833968\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 PM and 2:37 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -4*l + 3*l - 1 + 0 + 0*l. Let y be t(-4). Solve -b + 4*g - 12 = 3*b, 11 = -y*b + g for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rwwlqqwlw. Give prob of sequence wwl.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(2\/33)*m*m*m**(-6)*m)**(-2\/105) assuming m is positive.\nAnswer: m**(136\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-104)\/728 - ((-370)\/(-154) + -2).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143907*g - 251666*g - 356315*g.\nAnswer: -464074*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*o - 1. Let s be 4*o\/60*2. Factor 2\/5*k**3 - s*k**2 + 0 + 0*k.\nAnswer: 2*k**2*(k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 35*r**3 + 2*r**2 - 2*r + 1. Let v be x(1). Suppose 0*t + v = 2*t. Suppose -t - 18 = -2*a. Is 17 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177088889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/2 and 81\/19456.\nAnswer: 19456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/4 - 70001*o**2\/4 - 1223879167*o\/4 + 40464279537\/4.\nAnswer: -(o - 33)*(o + 35017)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 8:56 PM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -766*t + 96*t - 481*t + 28*t + 28.\nAnswer: -1123*t + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3108 + 1921. List the prime factors of i.\nAnswer: 47, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -17*b**2. Let v(y) = -3*y**2 + 63. Determine v(k(w)).\nAnswer: -867*w**4 + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5479*c**6*k - 562*c**3*k + 1529630*c**2*k - 2*c**2 - 2 wrt c.\nAnswer: -657480*c**3*k - 3372*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 230 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-11 - -14) - 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2792 = g. Let t = 20906\/15 + g. Let v = 133\/30 + t. What is the common denominator of v and 19\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xe when two letters picked without replacement from {g: 3, s: 1, n: 2, e: 6, x: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -2\/3093, 2, 3?\nAnswer: -2\/3093","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -22426 at least -41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fwfwfffwz. Give prob of sequence fffz.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7199 - 4814. Suppose 3330 + a = -5*r. Let n = r - -673. What is n rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(42) - -3*2*sqrt(42))*1*3)\/(5*(3*sqrt(96)\/sqrt(4))\/sqrt(4)).\nAnswer: 3 + 7*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1237 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 comes next: 4417, 4421, 4435, 4465, 4517?\nAnswer: 4597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 6*u**2 + 2*u - 2. Let h(y) = -6*y - 5. Calculate the remainder when h(-4) is divided by q(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -3*z**2\/2 + 456. Determine i(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*q = 28*q + 27296. Suppose 88*p - q = 84*p. What is the hundreds digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57950.433s in hours?\nAnswer: 16.0973425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - (-35 - -2 - 0). Let z be o\/10 + (2 - 4). Is 0.1 greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6018672 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6449 is divided by 3222.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*x**2 - 25*x**2 + 18*x**2 - 3*x**2 + 5*x**2 + 0*x**2 + 1 - x**2 - 1 + (-1 + 2 + 1)*(0*x**2 + 2*x**2 - 4*x**2) as h*x + t*x**2 + v and give t.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*w**3 - 15*w**3 + 23*w**3 - 82*w + 102*w.\nAnswer: -2*w**3 + 20*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-10) - (-192)\/40. Suppose -19 = -k*j + 21. Let r = j - 3. Solve 0 = -3*a - r*n + 34 + 6, -4*n = -4*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 8) to base 4.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1840, -6, 4, -26 in decreasing order.\nAnswer: 4, -6, -26, -1840","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/115 and 64\/3.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pjzjzipinnppjjhihij. What is prob of picking 2 h and 1 j?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4434 is divided by 886.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 56090880 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 234 - 249.9. Let w = l - -16. Let z = -3 + 5. Sort z, w, 3 in descending order.\nAnswer: 3, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 - 1133?\nAnswer: -1144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 10171746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r. Let u(s) = -16*s**3 + 4*s - 15. Let m = 29 + -25. Let i(l) = m*f(l) - u(l). Differentiate i(a) wrt a.\nAnswer: 48*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-6*((sqrt(300)\/(sqrt(20)\/sqrt(4)))\/((sqrt(96)\/sqrt(2))\/sqrt(4)) + (5*(sqrt(10) + sqrt(40)\/sqrt(4)))\/(sqrt(8)\/sqrt(4)*-3)).\nAnswer: -14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 31 and -1086143?\nAnswer: 1086174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 3*p + p + 118, 48 = -2*p + 4*b. Let v be (5 - p\/(-8))\/(2\/4). Solve v*f + 8 = f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of j**4\/12 - j**3\/6 - 6*j**2 + 12*j. Let l be p(4). Let v be (-1)\/(-1 + 2\/4). What is the nearest to l in 1\/3, 1\/10, v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 6782442?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 8*r. Let k be x(-10). Let d be 2\/(-16) + (-10)\/k. Solve d = -3*z + 3 - 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20661 + -20649. Suppose 5*m - 1 - 14 = 0. Solve -2*b - 5*i = z, 5*b - 2*i + m = -i for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2592 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 800?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b7a5 + 6?\nAnswer: b7ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a meter in centimeters?\nAnswer: 2550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 196*r + 6 + 6 + r**3.\nAnswer: r**3 - 196*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -636, -2701, -6204, -11145, -17524?\nAnswer: -25341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Factor 21*t**5 + 48*t**4 + 33*t**3 + 6*t**2.\nAnswer: 3*t**2*(t + 1)**2*(7*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3948 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 8*o - 3, 61 - 63 = 5*o - 2*x for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 1\/5 (c) 5\/6 (d) -548\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 577*f + 2. Let k(r) = 8*r + 22. Determine k(z(p)).\nAnswer: 4616*p + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1061815 - 678678. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (871 + 6*z - 871)*(1 - 1 - 2) + 2*z + 0*z - 6*z + 0 - z + 0 + (0 + 0 - 1)*(3*z + 0*z - 5*z).\nAnswer: -15*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(192) - (sqrt(192) + (sqrt(192) + 5 - sqrt(192))))*-3)**2.\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 12 = 4*p + 2, -p + 4 = 2*t. Let i be 2\/8 + 35\/4. Let k(j) = 4*j - i + t - 2*j**2 + 4 + 3*j**2. Determine k(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 4 + -3 + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 4 = -3*f. Suppose -4*c + f*c + 2 = -n, 3*c - 9 = 3*n. Let s be (-810)\/201 - (7 - 11). Which is smaller: c or s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 8*l**3 - 9*l + 4. Suppose -36 = 3*a - 6. Let m be d(a). Let c = m - -14806. What is c rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 1033360980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bccbbbccbcckfcbbj. What is prob of picking 2 c?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g + 31 = -1. Sort 0, -7, g in ascending order.\nAnswer: -7, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a - 3. Let f be 40\/7 - (-22)\/77. Give q(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2462053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -5931 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -183 divided by 3\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 41*g**2 + 1989*g + 4229. Calculate x(30).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*23.\nAnswer: 11.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -791 by -48878.\nAnswer: 791\/48878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-6) + 17\/3. Suppose s*c - 68 = -23. Calculate the lowest common multiple of 42\/5 + 4\/(-10) and c.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3814 + -10)*(-3)\/(-66). Let s = 173 - o. Suppose -2*u + 2*i = i + 1, 5 = -3*u + 5*i. Do u and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 554 a factor of 45428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of 1\/30*d**6 - 2\/3*d**3 - 18*d + 2 - 7\/10*d**5 + 0*d**4 + 5\/2*d**2. What is the second derivative of a(j) wrt j?\nAnswer: 12*j**2 - 84*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 2*o - 9, 3*o = -0*t + 2*t - 4. Suppose 4*l - t*l - 5353 = -2*f, 5*f - 13376 = -4*l. Let c = -1723 + f. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1812\/(-17667)*39\/42\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9.7 - -0.3. Let i = -12 + b. Which is bigger: -0.6 or i?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3912, 3911, 3910, 3909, 3908?\nAnswer: 3907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from fsffffsfff.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 1\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 5*l + 43 + 16, -1 = -j - 4*l. Let i = -7 - j. Suppose -4*z - d = 2, 0 = i*z - z + 5*d - 7. What is z rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + n + 3. Let a be d(0). Let f(p) = -17*p**3 - 163*p**2 - 104*p - 120. Let y be f(-9). Solve -a = -v - y for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -67110810 + -1.1\nAnswer: -67110811.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -3 (b) 107 (c) 2.6 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -10. Suppose 3*v - j - 5 - 7 = t, 18 = 3*v - 3*j. Let g = 22 - 13. What is the remainder when g is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/465*70)\/(54\/837).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110101 - -11?\nAnswer: -110030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*r - 2*r - r)*(3*r - 3*r + r**3).\nAnswer: -r**4 - 4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*p**4 - 2*p**4 - p**4 + (p + 3 - 3)*(-p**3 + 2 - 2) + (7*p + p - p)*(6*p**3 + p**3 - 2*p**3) to k*p**2 + n + g*p**4 + h*p**3 + u*p and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 + (-360)\/(-8) + -20.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.5 + -0.35. Let f = -50 + 51.1. Let a = f - t. Is a greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.457 and -4?\nAnswer: 3.543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1926 and 282.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -16736, -12724, -8696, -4646, -568?\n\"Answer: k**3 + 2*k**2 + 3999*k - 20738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 11*x + 4. Let v be r(9). Suppose 4*f + v - 5 = -j, -2*j - 4*f = 14. Let t be 34\/j + 6\/9. Solve -3*m + t = -0*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 437788, 0, -5.\nAnswer: -5, 0, 437788","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of n**7\/840 + n**6\/180 + n**5\/120 - n**3\/3 - 3*n. Let t(d) be the second derivative of s(d). Factor t(u).\nAnswer: u*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*k - 13*k - 18*k)*(-21 + 21 + 31)*(k + 0*k + 0*k) as x*k**2 + p + s*k and give x.\nAnswer: -1085","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**2 - 2*t**2 - 7*t**2 + (-7 + 2 + 3)*(-2*t**2 + 0*t**2 + 4*t**2)*(-2 - 1 + 2)*(4 - 6 - 4).\nAnswer: -31*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 855 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11886 * 0.8.\nAnswer: 9508.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 e when two letters picked without replacement from epec.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -j. Let k(v) = 4*v - v**2 + v - 2 + j*v. Let y(f) = -f**3 - 7*f**2 - 8*f - 8. Let w be y(-6). Calculate k(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(153) + sqrt(153))*6)\/(sqrt(72)\/sqrt(32) - sqrt(9)).\nAnswer: -24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-36)\/90)\/((-22)\/10 - (5 - 6)). Which is the second smallest value? (a) n (b) 0.08 (c) 5 (d) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**1*((c\/c**(-3\/16))\/c)\/c assuming c is positive.\nAnswer: c**(3\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 246 divide 61288194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 3. Suppose 0 = r - o + 18. Let b = r - -34. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 318 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 12 = -2*w, 4*r - 3*r = -w - 3. Suppose w = 4*l - 343 - 1765. Let m = l + -220. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1491 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.04 - 0.04. Suppose -1014 - 483 = 384*d - 345. Which is the closest to 1\/9? (a) h (b) d (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 465 + l**2 + 465 - 1821 + 424 - 374*l + 467.\nAnswer: l**2 - 374*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - -130)\/2 - (-24 + 21). Solve -n*b + 27 + 308 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 2590960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 775? (a) -8 (b) 8\/163 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -3. Let g be 48\/10 - (-1)\/5. Suppose -g*a + a = 16. Sort 2, a, h in descending order.\nAnswer: h, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12597 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 0. Let x(c) = 18*c. Let n be x(b). Suppose 0*v + n = 2*v. Is v a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*i - 5393 = -10133. Calculate the greatest common divisor of i and 5925.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/5)\/(1 + (-63)\/45)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 7*n + 2. Let s be m(7). Let y be 1*(1 + s) + -13. Let t be (-14)\/y + (-1)\/1. Is t at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/6 - 377285*o\/6 + 188642\/3.\nAnswer: (o - 377284)*(o - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 5*p**2 + 3*p + 4. What is u(6)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 11 (b) -0.3 (c) 4\/5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1198814 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = 2*k + c, 22*c = -k + 24*c + 70. What is the remainder when k is divided by 1\/((-1)\/(-8))*3?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5104 and 32?\nAnswer: 10208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10538 - 10536. Suppose 1 = 4*k - 3. What is the smallest common multiple of q and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1081.837 take away -10687430?\nAnswer: 10688511.837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 51 and 339?\nAnswer: 5763","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (272 + 47 - 95)*(3 - 5 + 1)*(3*l + 3*l - 3*l)*(0 + 2*l + 0).\nAnswer: -1344*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, b: 2, c: 1, t: 1, p: 1, w: 1}. What is prob of picking 1 t, 1 g, and 1 w?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 120\/(-4)*10\/(-60). Solve -2*o = -7*o + 2*h - 4, 0 = i*h - 10 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1104\/5 + 231. Suppose 2*h + 35 - 49 = -3*s, -3*h = -s + 12. Let j be 17 - (s\/(-3) + 9). Which is greater: j or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-5*(sqrt(936) - -3*sqrt(936)))\/(sqrt(18)*-2 + sqrt(2) + sqrt(50)*-4).\nAnswer: -24*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o - 2*o + 0*o + (2*o + 28 + o - 2*o)*(-2 + 3 - 4) + 3 - 3 + 2*o.\nAnswer: -3*o - 84","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/3663 and -34\/3663?\nAnswer: 3663","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 83486 - 83392.0215. Let z = -94 + y. Round z to three dps.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t - 3. Let g be x(1). Let a(i) be the first derivative of -1\/6*i**6 + g*i + 0*i**3 + 3 + 0*i**2 + 2\/5*i**5 - 1\/4*i**4. Factor a(l).\nAnswer: -l**3*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o - 3*t + 19, -107 = -o + 3*t - 138 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 6:50 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 132 - 132.552. Let u = -0.55199589 - y. What is u rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78 and 2964?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -1.1 (c) -2\/11 (d) 51 (e) 0.3 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -9. Which is greater: 75 or i?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d**3 + 2*d**2 - 2*d + 1. Let m be b(1). Suppose -m*y + 256 = -0*y. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7694\/43 or 180?\nAnswer: 7694\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -5*o - 0*o - 26, 0 = -5*r - 5*o - 5. Suppose 0 = r*a - 1 + 1. Suppose 3*y - k - 6 = a, 0 = -3*y - 4*k - 5 + 11. Solve -4*u + y = 14 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2261, -2, 6, -1\/5 in decreasing order.\nAnswer: 2261, 6, -1\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2855?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*z + 2*u = 30*z - 19, 0 = -3*z - 3*u + 3. Which is smaller: 102\/23 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, i: 4}. Give prob of sequence qiq.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 58 = -5*t - 252, 0 = -4*z + t - 297. Suppose 0 = -4*l - l + 3*c - 637, 3 = -3*c. Let b = z - l. List the prime factors of b.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 133115621, 266231247, 399346875, 532462505, 665578137?\nAnswer: 798693771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2062)\/31502 - 226\/(-2147) and -18\/11.\nAnswer: 9119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/11 + 4170*w\/11 - 29092\/11.\nAnswer: -2*(w - 2078)*(w - 7)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 3266340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 351 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -6*q**2 + 16*q + 17. What is z(8)?\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -47 + 68. Which is the closest to -1? (a) 0.1 (b) -4\/7 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by (-76)\/(-8)*(-2 + 4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 6*t**2 - t. Calculate the lowest common multiple of 2 and f(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(9\/4))\/(-5)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -3*l - 5*i - 25, 5*l + 48 = -2*i. List the prime factors of -1 - 4 - 5440\/l.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 3940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 9:51 PM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -67\/6 (b) -0.0879 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 20*b. Let s be q(-2). Let x = -24 - s. Calculate the greatest common factor of x and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 21.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 441\nAnswer: 10\/441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.99 and -0.19?\nAnswer: 1.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003256 to 5 dps.\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 786 and 202435348?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -186*s**2 - 411*s**2 - 580*s**2 + 1830*s**2. Let h(j) = -j**2. What is h(b(f))?\nAnswer: -426409*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -f**7\/35 + 4*f**6\/15 - 18*f**5\/25 - f**4\/15 + 13*f**3\/5 - 18*f**2\/5 + 2255*f. Find m, given that w(m) = 0.\nAnswer: -1, 2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 o, and 2 p when four letters picked without replacement from {p: 2, r: 1, z: 6, o: 2, e: 1}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -7077333 to the nearest 100000.\nAnswer: -7100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 15*i - 33. Let j be r(7). Is j less than or equal to 71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 5*y = 40, -3*y = -4*l - 22 - 32. Let r = 14 + l. Find the common denominator of r - (-220)\/(-16) - 1 and 3\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 5*i + 85. Let w be l(-17). Let v(f) be the third derivative of -1\/90*f**5 + 0*f - 5*f**2 + 0 + 1\/36*f**4 + w*f**3. Find n, given that v(n) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2)*(5*v**2 - 3*v**2 - 4*v**2) + (-v - v + 8*v)*(-3*v + 3*v + v).\nAnswer: 10*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-1401.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 4*n - 30 = 0, 6*n + 25 = n. Solve q + 5 = 5*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - -3 - (4 + -2). Let c be 327\/12 - 1\/4. Let a = c - 11. Solve -f = r, a = -5*r + v*f + f for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 372793.\nAnswer: 17, 21929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4269 - -4\nAnswer: -4265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -10*o + 51. What is j(16)?\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 y when four letters picked without replacement from yoyyyyyooyiyoyyyyo.\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6961359624 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -153, 1, 5, 25, -6, -2 in increasing order.\nAnswer: -153, -10, -6, -2, 1, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 229540232 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q**2 - 4*q + 5 - 2*q - 5. Let o(x) = -x**2 + x - 3 + 1 + 3. Let p(i) = -3*i**2 + 10*i + 5. Let k(a) = -5*o(a) + p(a). Determine -6*k(s) - 5*m(s).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(342) - sqrt(342))\/sqrt(6))\/sqrt(3).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 12, 34, 44, 18, -68, -238, -516, -926?\n\"Answer: -4*x**3 + 18*x**2 - 4*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 > 261\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -42586 at most -42943?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32316?\nAnswer: 2, 3, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1045 - 20*u + 1045)*(-3*u**2 + 4*u**2 + 0*u**2)*(0 + 0 + 3*u).\nAnswer: -60*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tqta when four letters picked without replacement from {d: 2, t: 11, a: 1, p: 3, q: 1}?\nAnswer: 11\/7344","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -4666 > -1841?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(114) - sqrt(114))*2 - sqrt(114))\/((3*sqrt(96) - sqrt(6)) + sqrt(6)).\nAnswer: -sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65676 is divided by 2139.\nAnswer: 1506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.163473*-0.1\nAnswer: -0.0163473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 17\/5, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 40. Let h = -53 + o. Let j be 0*(3 - (-1)\/(6\/h)). Solve j = -2*y + y - 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 25*j - 3. Let f = 9 - 8. What is the lowest common multiple of 4 and m(f)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**3 + 28*c**2 + c - 11. Let f be 4\/(-14) + (-400)\/(-28). Let n be s(f). Suppose -n*a + 0 = -18. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11862000 to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 16*k**2 + 133*k + 982. Calculate u(-7).\nAnswer: 1178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -122 - -127. Suppose -3*c + 7 - 1 = 0. Suppose -c*z = -523 + l. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 12 = -4*f, -1188*f = -1184*f + n + 6 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/7 - 774\/(-14).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/120 + 6\/36?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5621.72 litres?\nAnswer: 5621720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.160122 - -0.17184. What is x rounded to four dps?\nAnswer: 0.0117","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**2. Let d(q) be the third derivative of 77*q**5\/60 + 2*q**3\/3 + 4*q**2 + q - 677. What is d(u(j))?\nAnswer: 308*j**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from nnnnnhnnhn?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*o - 2 - 18*o + 2*o**2 + 1 as m*o**2 + g + s*o and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 192933 and 918?\nAnswer: 1157598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is three halves of a century in years?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/49347 + -49339\/197388. Sort -8, l, -3, 2\/11, -0.3 in decreasing order.\nAnswer: 2\/11, l, -0.3, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssjfffs. What is prob of sequence fs?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2616125 and 9?\nAnswer: 23545125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1.2 (b) -8\/3 (c) 4 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkxb when four letters picked without replacement from kbxmkmmmkkfkffmf?\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r + 2. Suppose -14*x + 48 = 10*x. Suppose 3*p - 3*m + m = x, -p - 2*m = 10. What is s(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 9:35 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4188623, 8377245, 12565867?\n\"Answer: 4188622*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-14)\/(-8) - (-26348)\/112.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 1:37 AM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1358 - 34*s**4 - 1358)*(-1 + 3 + 1) to m*s**4 + v*s**3 + n*s**2 + j + q*s and give m.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 17*-53\nAnswer: -901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhhhjhhhh. What is prob of picking 3 h?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f - 11. Let a be y(0). Let n be -1 + (a - -1) + 2. List the prime factors of 16\/6 + 6\/n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 4*w - 3*o - 100 = 0, 11289*o - 109 = 3*w + 11281*o for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/1539 and -16\/27.\nAnswer: 1539","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6341659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, 0.45, -16, 2?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 5*q**2 + 5*q + 14. Determine w(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by 634414.\nAnswer: 17\/634414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3322 and 44847.\nAnswer: 89694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 3. Solve w = -4*g + 4*l, 2*g - 4*l = -0*l - 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*r - 24*r + 35. Let i(x) = -9*x**3 + 2*x**2 + 4*x. Let l(a) = -18*a**3 + 4*a**2 + 9*a. Determine r*i(j) - 2*l(j).\nAnswer: -9*j**3 + 2*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 6) in base 2?\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 528027.9 months in years?\nAnswer: 44002.325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*y + 45*y - 3 = 0. Let f be (-30)\/12*(y + (-27)\/15). Solve 5*t + 26 = 2*j, 1 - 2 = -3*j - f*t for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -87*k - 974 + 129 - 895 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -0.16 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/13 in 82, 0, -0.02, -0.3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of 13*g**5\/60 + 12*g**2. Let c(m) be the second derivative of m**4\/4 - 2*m. Give u(c(r)).\nAnswer: 117*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/121 and 97\/1892.\nAnswer: 20812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/8 of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - (-296)\/32)\/(0 - 1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7 - 0)*(7 - 8). Let s be (-2)\/((11\/22)\/(4*-1)). Solve -4*i = -4*n - s, 4*i + 3 - c = -2*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 4) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -342 - -365. Solve -d - 19 = 3*f, c = -3*d + d - 3*f for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28 - 36) + 13 - 24.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o - 20. Let l(p) = -4*p**2. What is n(l(s))?\nAnswer: -4*s**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 24631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - -1705069381.\nAnswer: 1705069381.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -2*z**3 - 1. Let l(o) be the first derivative of -1 - 2*o**2 + 0 - 4 + 3*o**2. Calculate l(g(p)).\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57.2852 litres to millilitres.\nAnswer: 57285.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of 174*c**4 + 25*c**3\/3 + 17*c + 1548. Find the third derivative of q(g) wrt g.\nAnswer: 4176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -z**5\/24 + z**4\/12 + 10*z**3 + 2*z**2 - 52. Let b(o) be the first derivative of c(o). Determine b(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74352 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/1)\/(74\/1036)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1963.\nAnswer: 13, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*p + 87 = 1209. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 20 = -4*h, 113866*h + 1 = 113869*h + 4*f for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 462917?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 5 = 3. Solve 0*q - 6 = -x*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = -3*j + 105*h - 109*h, 6*j - h = 24 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*j*t*v*z - 118*j*t*z - 3*j*v*z - 2*j*v + 2*j*z + 3677*j + 19*t*v wrt t.\nAnswer: 7*j*v*z - 118*j*z + 19*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*n**2 - 430*n + 72*n**2 + 97*n**2 + 40 - 74*n**2 + 39*n**2 = 0.\nAnswer: 4\/41, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(1\/2)*n)**(-41)*((n*n**(1\/10))\/n)\/(n**(-7)\/n) assuming n is positive.\nAnswer: n**(-472\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2333*b + 2. Let m be l(6). Round m to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244045 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -286*b**3 + 1127*b**3 - 298*b**3 - 272*b**3 + 29*b - 273*b**3.\nAnswer: -2*b**3 + 29*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -55, -116, -179, -244, -311?\n\"Answer: -o**2 - 58*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.6 + 0.4. Suppose -600 - 165 + 495 = -54*r. Put r, v, -0.02 in descending order.\nAnswer: r, v, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-4)*i)\/((i*i*i\/(i\/(i\/i**6)*i)*i*i)\/i*i*i*i*i)*((i**(-1)\/i)\/i)**28)**(-3\/37) assuming i is positive.\nAnswer: i**(261\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12.9 + 13. Let x = p + 3.9. Sort -4\/7, x, 2\/3.\nAnswer: -4\/7, 2\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 56990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w + 4. Let p(f) = f + 3. Let c be -3 - 0\/(-3) - -5. Suppose 3*z - c*z + 2 = 0. Give z*q(a) + 3*p(a).\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 593, 2393, 5393, 9593?\nAnswer: 14993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 8 + 1 + 27*u.\nAnswer: 27*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 7*c**2 + 6*c - 6. Let o(p) = -35*p**2 - 33*p + 59. Let x(h) = 17*h**2 + 16*h - 32. Let g(l) = 3*o(l) + 5*x(l). What is 17*d(q) + 6*g(q)?\nAnswer: -q**2 - 12*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from vvvvvvvvivvvivvvvvvv?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -5. Suppose -y - 4*d - 18 = y, -r*y - 2*d = 54. Let b = y + 20. Solve 2*j = s + b, 5*j = -6*s + 3*s + 40 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10749.049 to the nearest ten.\nAnswer: 10750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2694 divided by 3.\nAnswer: 898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q**3*u**2 - 4*q**3*u + 65*q**2*u**2 - 3*q*u**2 + 16*q*u - 85*u**2 wrt q?\nAnswer: -12*q*u**2 - 24*q*u + 130*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 d when two letters picked without replacement from qqbqbvbqqqqedv?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1313863074 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 5:12 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by (31 + -1 - 1) + 1.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 18 = z + u, 5*u - 55 = -5*z. Let v = -124 + 154. Calculate the lowest common multiple of (v\/8)\/((-18)\/(-192)*4) and z.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + s = 2*h + 78, -h + 3*s = 49. What is the common denominator of h and ((-97)\/(-8))\/(2 - 4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 94.1 + -88. Let p = x - 6.4. Let i = 11.4 - 13.4. Which is the nearest to 4? (a) p (b) 0.2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 681 - 2*u**4 - u**2 - 6*u - 1308 + 630 + 17*u**3 as j*u**2 + o*u**4 + w + b*u + y*u**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2 - 4 = 0. Let o(w) = 5*w - 7. Let b(f) = f - 52 + 104 - 53. What is x*o(d) + 14*b(d)?\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 250889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1359 = -252*r - 1161 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -5*q**2 + 5*q + 11. Let u(s) = 3*s**2 - 3*s - 6. Let k be -1*((-1)\/3 + 1536\/(-144)). Determine k*u(z) + 6*d(z).\nAnswer: 3*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11839155323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 7. Let o(i) = i**y - 2*i**2 - 4*i**2. Let h(l) = -2*l**2 - 29*l - 91. Let z be h(-10). What is o(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 2*b**2 + 19920*b - 19922 = 0.\nAnswer: -9961, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000801 rounded to six decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -17*g**5\/60 + g**4\/8 + 16*g**3 - 4*g**2 - 16. What is the derivative of v(p) wrt p?\nAnswer: -34*p + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2830389?\nAnswer: 3, 37, 43, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9697914071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -43342 (base 5) in base 14?\nAnswer: -1124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 714 = 4*r, -5*r + r - 12 = 0. Let v be 1\/(-4) + f\/88. What is the highest common factor of 232 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 542 or 541?\nAnswer: 541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x - 2*c = -9, -330 + 306 = -3*c for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 14*b**2 - 101*b + 152. Let s be m(5). Let a(x) = 2*x**3 - 4*x**2 + 4. Suppose -3*z - 10 = 2. Let l(u) = -u**3 + 3*u**2 - 3. Give s*a(n) + z*l(n).\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p + 5 - 5 = 0. What is the biggest value in -1.9, p, -0.01, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*12\/(-6))\/(-10)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 20133331 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-3)*14\/((-224)\/(-120)). Suppose 2*g + 18 = 4*b, 3*g + 11 = 4*b - n. Solve -4*i = 5*r + 14, 3*r - b + 14 = -5*i for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/(-22)*-15 - 1. Let s = o - -356\/99. What is the common denominator of -31\/6 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -104467.828\nAnswer: 104467.828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 540 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5592091kg to milligrams.\nAnswer: 559209.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -45, -47, -27, 21?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/120)\/(-5 + -5 + 7 - (-9 + 7))\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 43*j**2 + 31*j - 1. Is k(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -301205433 rounded to the nearest one million?\nAnswer: -301000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 51*p**2 + 19*p**2 - 7 + 12 - 5 + 41 - 59*p. What is m(-30)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6 - (-92)\/5) + (-2)\/5. Let l be 14\/6 - (-8)\/w. Suppose -h + l = -6. Solve 3*q - h - 3 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/14)\/(444\/1036).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 4:58 PM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 742 and 56?\nAnswer: 2968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1187935457 to the nearest integer?\nAnswer: 34466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 322726 bigger than 324611?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 - -0.1. Let s be ((-2)\/14)\/((-88)\/(-77)). Which is the fourth biggest value? (a) -17 (b) s (c) m (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 - (-26 + -23) - (3 + (-4 - -2) - 16).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 106586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 722746?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xdty when four letters picked without replacement from xtttxxdxxyxttyxyyyy.\nAnswer: 35\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.1, -4\/13, -0.1 in decreasing order.\nAnswer: 3, 0.1, -0.1, -4\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -150650, -152210, -153770, -155330, -156890, -158450?\nAnswer: -160010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12546663 is divided by 6273321?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -77? (a) 3 (b) -2\/13 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide (-17)\/(136\/15360)*(-210)\/56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + 5*c + 5. Let f be u(5). Suppose -7*w - 2*o = -3*w - 1478, -f*w + 5*o = -1885. Suppose 4*d - 756 = -4*y, 2*d = 3*y - 2*y + w. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-72)\/(-1) + 4\/(-4). Let d = 106 - f. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7679*s + 7654*s + 2006825 = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 16 + 10. What is the second biggest value in f, 2, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -147334.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 289.3732792 - -138.1.\nAnswer: 427.4732792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 628*d**2 + 1 + 2*d**4 - 629*d**2 - d**3 - d**3 + 5*d as q + z*d**4 + f*d**3 + v*d**2 + m*d and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -4*r - 358, 4*x + 0*x = 2*r - 696. Let f = -175 - x. Are -2 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v - 72 = 20*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = 5*m + 4*s, s = -m + 6*s + 23. Let o(t) = 5*t**2 - 113*t - 34. Let k be o(m). Solve 3*u - 6*u = -k for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, j: 6}. What is prob of picking 2 j and 2 h?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -208?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 910088867.\nAnswer: 757, 1202231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9216 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -8. What is the second derivative of -12*q + 4*q**5 + 131*q**4 - 131*q**b wrt q?\nAnswer: 80*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3230 + -3220. Solve 10*d = 11*d - 5*z - i, -4*d - 2*z = 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5578 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and -25.545.\nAnswer: -25.145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1013\/168 - 35\/24. Let g = 6 - 0. Which is smaller: g or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-4) + 102\/(-6)*39\/78\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 4*j = 9 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = -5*o + 110. Let l = o + 104. Calculate the remainder when l is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-466)\/6)\/(27\/81). Let w = 263 + s. Calculate the highest common factor of w and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5031 + 5030.9. What is the closest to -2.4 in n, 9, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.335 - -0.887. Let r = 0.462 - q. Which is the biggest value? (a) -2 (b) 0.5 (c) 0.3 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*s - f, -13*s + 11*s - 9 = 5*f. Solve -s*o + 3*o + 25 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - -7 - -17) + -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74681*d**2 + 121*d - 52*d - 55*d.\nAnswer: -74681*d**2 + 14*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*z + 59 - 23 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -123*z**4 + 7*z - 54*z**2 + 201*z**4 + 1 - 76*z**4 to x + l*z**2 + d*z**4 + y*z + g*z**3 and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 11*n**2 - 27*n + 18. Let s be f(13). Suppose 3*l = -s*l + 24. Suppose l*b + 2327 = 16*b. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of t**8\/280 - 61*t**7\/1575 + 2*t**6\/45 + 2*t**5\/75 - 2*t**2 + 84. Solve n(r) = 0.\nAnswer: -2\/9, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -790*x + 5584. What is the remainder when j(-8) is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 426 (base 7) to base 12\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/1105 and -24\/7735?\nAnswer: 7735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 900.954 nanograms?\nAnswer: 0.000000000900954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -3*y**4\/2 - 183*y**3\/2 + 1206*y**2 + 1296*y = 0.\nAnswer: -72, -1, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.858998 litres in millilitres?\nAnswer: 5858.998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 8203695.54 to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -13, -2, -3\/4, -43, 0.17?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 1, 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106711?\nAnswer: 11, 89, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v**3 + 0*v - 6*v**3 + 7*v**3 - 2*v - 3 as r*v**3 + m*v**2 + h*v + y and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 689 (b) 0.1 (c) 2\/3 (d) -0.5 (e) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-17)\/(-34))\/((-1)\/6). Let d(z) = z**2 + 2*z - 2. Give d(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -13, 338 in increasing order.\nAnswer: -13, -9, 338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 503 + 169136*s - 1025 + 522.\nAnswer: 169136*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1179061029 to the nearest integer?\nAnswer: 1056","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - 11*o + 15. Is 2 a factor of w(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 5\/(-7) - (-14)\/49?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -139*s**5\/4 + 655*s**2\/2 - 648*s. What is the derivative of n(l) wrt l?\nAnswer: -2085*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, z: 1, a: 3, l: 3, x: 2, m: 1}. What is prob of sequence mxpp?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l + 9. Let h be g(-6). Let d = -6 - h. Suppose 0 = d*w - w - 50. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*u = -29 + 26, -10 = -2*f - 2*u. Which is the biggest value? (a) -2 (b) 17 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -1436*g**5\/5 - 1861*g**3\/3 - 6*g + 77. What is the second derivative of o(b) wrt b?\nAnswer: -34464*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 4) in base 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of t**4*z - 9200204*t**3*z + 15*t**2*z + 74*t**2 - t*z + 46*z wrt t.\nAnswer: 24*t*z - 55201224*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2 = 5*t + 1, 8 = 4*g. Put 0, 3, t in decreasing order.\nAnswer: 3, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 5 - 4*m**3 - 8.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 1\/4 (b) 4 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-520)\/4)\/(-2) - 4. Suppose 121 = 2*g - w. Is g a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 7 - 127 = 0. Let b be (-136)\/q + (-4)\/10. Solve -4*d + b - 11 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1559*c + 1572*c - 2171 = 0. Put -4, c, -5 in descending order.\nAnswer: c, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from awziagiewaiwigi. What is prob of sequence igiw?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 87 and 261?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 4*m + 20 = 0, -4*c - 6 = -5*m - 31. What is the lowest common multiple of -1*(12 - c)\/(-4) and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/19 in -6, -3, -6\/11, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/4732 and -51\/6760.\nAnswer: 47320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 20*q**2 - 7*q - 2. Calculate l(-1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1073, 7429, 24357, 57143, 111073, 191433, 303509?\nAnswer: 452587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xmummuguguxggxguu. What is prob of picking 1 g and 1 m?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/199716 and 47\/36312.\nAnswer: 399432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/3 + 843\/297. Let g = s - 2\/99. What is the closest to -1 in 1\/3, g, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -2. Let s = 1 - -1. Suppose 0 = -2*t - 4*y + 4, -g*t - y = -s*y - 20. Solve z + 2*z = t for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -bde (base 16) in base 15?\nAnswer: -d78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1384, 2059, 3216, 4879, 7072, 9819, 13144, 17071?\nAnswer: 21624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3387 >= 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 5*d + 20, 4*d - 14 = -4*l - 46. Calculate the remainder when 4*6 - (d + 5) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1408, -1393, -1356, -1285, -1168, -993, -748?\n\"Answer: 2*f**3 - f**2 + 4*f - 1413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of t**4 + 152*t**3\/3 + 640*t**2 - 3200*t - 180. Factor p(x).\nAnswer: 4*(x - 2)*(x + 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-248)\/(-93) - (21\/(-9) - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65737400 divided by -13147480.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -51 or 878591?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*10\/(-4)*(-9)\/(-15).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/68*2\/6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*q - 56*q + 19*q)*(q**2 - q**2 + 3*q**2).\nAnswer: -189*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 10:09 AM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 12*u**2 + u - 7. Let l be z(12). Let f(d) = -d**3 + 5*d**2 + 2*d - 3. Let r be f(l). What is the highest common factor of r and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3*(sqrt(363)*-2 + 4)*-2.\nAnswer: -132*sqrt(3) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 2:04 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l - 11. Let z be g(-6). Let j = 15 + z. Calculate the smallest common multiple of -11*4\/((-2)\/1) and j.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of p**8\/112 - p**7\/15 - 8*p**4\/3 - 30*p**2. What is the second derivative of a(i) wrt i?\nAnswer: 60*i**3 - 168*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38105 + 1143287\/30. Find the common denominator of -1\/12 and y.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2*f - 46 = 0, 2*s - f = 5*s + 37. Let a be (-2)\/(-1) - 0 - s. Suppose 32 = 4*b - 4*h, -5*h = -2*b + a + 12. Is b a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9, 24, 47, 78, 117, 164, 219?\n\"Answer: 4*i**2 + 3*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3617\/2 + -1767. Calculate the common denominator of -169\/30 and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((25 + -12 + 11)*-16)\/((-3)\/58). Calculate the highest common divisor of o and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 535989547?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8980, -35638, -79768, -141124, -219460, -314530, -426088, -553888?\nAnswer: -697684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20*((-150)\/12)\/(-25)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3671988056 to the power of 1\/3, to the nearest integer?\nAnswer: 1543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -51063?\nAnswer: -153189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (35 - (14 + -19 + 9)) + (-2 - -2)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7 - (1806\/(-6) + 6). Let f = x + -301. Solve -f = 5*b + 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**2 - 15*z + 16. Let i(t) = -t**2 - 7*t + 8. Suppose -52 = -2*n - 2*x - 24, -5*n + 4*x = -61. What is n*i(b) - 6*c(b)?\nAnswer: -b**2 - b + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5724 (base 8) to base 14\nAnswer: -1164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 294\/15 - 3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -17453343.6 and -70.\nAnswer: -17453413.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 j when two letters picked without replacement from jkpnnjbkknkpkng.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -5*o**3 + 7*o**2 + 13. Let u = -2 + -2. Let t(y) = -2*y**3 + 3*y**2 + 6. Let s be 40\/16 - (-13)\/2. Determine s*t(p) + u*c(p).\nAnswer: 2*p**3 - p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -0.75 (c) 5 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000011000011011110 + 100?\nAnswer: -1000011000011011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-12 + (14 - 2) - (-13 + 9)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12311 and 556543?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -581\/2 (b) -3\/25 (c) -0.018\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28f5 (base 16) to base 14.\nAnswer: -3b6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 468214 + -468978.9186. Let b = 765 + x. What is b rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5*(10 + -1) - 4. Let d = -26 + b. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*q - 63*q + 4*s = 11 - 31, 86 = -3*q + 62*s for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t*(t\/(t**(-1)\/t))\/t)\/t*t)**47*(t\/(t**(1\/3)\/t))\/t**(-1) assuming t is positive.\nAnswer: t**(572\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {y: 2, j: 7, a: 6}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in 416, 3, 0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87717892?\nAnswer: 2, 17, 1289969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4344516 and 11340?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 201.1062 + -201. What is d rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - -3*sqrt(44)\/sqrt(4) - sqrt(66)\/sqrt(24)) + 4*3*(sqrt(11) - sqrt(66)\/sqrt(6)))**2.\nAnswer: 539\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**2. Let l(x) = -66*x + 118*x + 423*x. Give l(b(u)).\nAnswer: 950*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82518, 329927, 742274, 1319559, 2061782?\nAnswer: 2968943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224 = -r - 6*r. Let g = -32 + r. Suppose 6*f - 5713 - 3887 = g. Round f to the nearest one hundred.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 1.6, -1, 3?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-179 - 156 + 354)*(p - 5*p + 2*p) + (2 - 1 - 2)*(3*p + 3 - 3).\nAnswer: -41*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aty when three letters picked without replacement from {y: 1, a: 2, t: 8, j: 4}.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*i - 6 = 3*w, -3*i = 2*w + 444 - 440 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(sqrt(45)\/(3*sqrt(5)) + sqrt(9)) + (sqrt(36) + (sqrt(36) - sqrt(2916)*2))\/sqrt(12) + 5 + 5.\nAnswer: -61*sqrt(3)\/4 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-588*(-22)\/264 + 4)*(-4)\/4.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9880291, -9880292, -9880293, -9880294?\n\"Answer: -r - 9880290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4275 + -1664. Calculate the smallest common multiple of 2 and v.\nAnswer: 5222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, l: 9}. Give prob of sequence lw.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 7011192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i**4\/7 - 23432*i**3\/7 - 2074994*i**2\/7 - 3377572*i\/7 + 1357280\/7 = 0 for i.\nAnswer: -85, -2, 1\/3, 3992","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -1\/46, 66, -4?\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 7*w - 2. Suppose 17*a - 42 = 3*a. Suppose a*b - 12 = 4*l, l = -l + 6. Give f(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 11:22 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/6216 and -61\/531912.\nAnswer: 3723384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 412, 15 in descending order.\nAnswer: 412, 15, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.498 times 2?\nAnswer: -0.996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1520841 and 3171?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 339 - 303 = 0 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 40861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b - 2. Let y(j) = -j + 2. Let i(o) = 5*w(o) - y(o). Let n be (-1)\/(-1) + 1 + 4. What are the prime factors of i(n)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*q + 53*q = 1120. What is the greatest common factor of q and 208?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -17d - 11?\nAnswer: -18e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 15 = 4*q, 0 = q - 6*q - 5*l + 50. Suppose q*v - 541 = 5*u - 126, 0 = -5*v - 2*u + 450. What is the greatest common divisor of 11 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8266 - 8266.4. Which is bigger: 304 or d?\nAnswer: 304","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*z - 0, 0 = 4*w - 3*z + 9. Suppose w = -3*y - 83 + 797. Let p(j) = -y*j + 119*j + 118*j + 4. Determine p(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 128 and 23488544?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (48\/(-15))\/((-1)\/(-5)). Let y(c) = c**2 + 17*c + 22. Let z be y(n). What is the second derivative of 13*o**5 + o**5 - z*o**5 - 13*o wrt o?\nAnswer: 160*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/30*-1*6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 8, 6, -5.\nAnswer: -5, -4, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 12:55 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -322*y**2 + 154*y**2 + 117*y**2 + 203*y**2.\nAnswer: 152*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3 + 4\/3*c**2 - 8\/3*c**4 + 2\/3*c**5 + 8\/3*c**3 - 10\/3*c.\nAnswer: 2*(c - 2)*(c - 1)**3*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 9. Let a(u) = -u. Let o be 2\/(-9) + (-256)\/(-18). Let h(t) = 6*t + 1. Calculate o*a(x) + p*h(x).\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 8*m - 4. Let d be q(7). Let f be 24\/16*(-8)\/(-6). What is the first derivative of -f + 0 + d*k**2 - 1 + 1 wrt k?\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**5*r + 25159665*c**2*r**3 - 51*c*r**3 + 1478*c*r**2 + 5*c wrt c?\nAnswer: -20*c**3*r + 50319330*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11978791 to the power of 1\/4, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 72 - (4 - 3 - -2) - (-46 + 45)\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -20, -48, -84, -128?\n\"Answer: -4*s**2 - 16*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**4 + 0*j**4 + 0*j**4 + (1 - 2 - 6)*(2*j**4 - 5*j**4 + 2*j**4) - 3*j**4 + 2*j**4 + 2*j**4 + 22*j**3 - 22*j**3 + 4*j**4.\nAnswer: 9*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1605288 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 13*u - 20. Calculate x(7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1228.88 rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6471?\nAnswer: 3, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 429717 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 129*a**3 + 5*a**2 + 7*a - 32. Let k(w) = -388*w**3 - 14*w**2 - 20*w + 90. Determine -5*k(v) - 14*l(v).\nAnswer: 134*v**3 + 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119 - -0.038273.\nAnswer: -118.961727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/116 and 29\/28872740.\nAnswer: 837309460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -600.54 rounded to zero decimal places?\nAnswer: -601","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -17. Suppose 0 = -12*d + 7*d + 35. Calculate the lowest common multiple of d and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o\/(o*o**(-1\/2))*o)\/o)**(-30\/11)*(o**(-1))**(-33\/4) assuming o is positive.\nAnswer: o**(63\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 5*m = -60199990, -14 = 5*m + 6. Suppose -k + w + 9029999 = -4*k, 4*k = 2*w - h. Round k to the nearest 100000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 563 + -429. Put j, 2\/5, 0.2 in descending order.\nAnswer: j, 2\/5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1951.9993404 + -1952. What is r rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of 313*n**4\/6 + 112*n**2 - 138*n + 2. What is the first derivative of o(k) wrt k?\nAnswer: 1252*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 6*x - 9. Let g be s(7). What is the closest to 1\/2 in g, 0.4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 18*s**2 - 2*s + 37. Calculate y(18).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by -518.\nAnswer: 5\/259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*b**2 - 6*b**2 + 4*b**2)*(-1 + 2 + 0)*(-89 + 89 + 56*b)*(0 - 2 - 3)*(4 + 0 - 3) to the form x*b**3 + h*b**2 + l + k*b and give x.\nAnswer: -560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 4*o - 0*t + 16, 2*o + 18 = -2*t. Let d(p) = -p**3 - 6*p**2 - 7*p + 2. Determine d(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1276.884 litres to millilitres.\nAnswer: 1276884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 4*g + 16 = 4*s, 5*s - 36 = -3*g. Let o be 10\/(-25)*(-5)\/s. Factor 1\/3*u**3 + u - o - u**2.\nAnswer: (u - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 207 (c) 1\/3 (d) -1\/9 (e) 1.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -287495619 - 1?\nAnswer: -287495620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (-575)\/(-75) + -22?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -383363 - -383369. Suppose 3\/4*r**2 - 99\/4 - i*r = 0. Calculate r.\nAnswer: -3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.766 times 756.3\nAnswer: 579.3258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*n - 2*n. Suppose i - 9 + n = 0. Suppose -2\/3 + 2\/3*t - 2\/3*t**i + 2\/3*t**2 = 0. What is t?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 189 and 159?\nAnswer: 10017","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -6. Let k = -62 - -63. Put w, 0.1, 4\/3, k in increasing order.\nAnswer: 0.1, k, 4\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*n**2 - 24*n**2 + n**3 + 7*n**2 + 2 + 9*n**2 + 198*n to the form y*n + o*n**3 + c*n**2 + j and give y.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(24) - sqrt(96)\/sqrt(64)) + sqrt(24)*-2*6)\/(-5*(sqrt(12) - sqrt(48)) + sqrt(12) - (sqrt(48) - sqrt(48)*-1)) + -3)**2.\nAnswer: 135*sqrt(2)\/4 + 2313\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/3)*v)\/v**(1\/13)*v*v**(3\/5)*v*v*v**(-2))**(-1) assuming v is positive.\nAnswer: v**(-622\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - (-2 - (12 - 2)). Let b = k + -5. Suppose -4*n = -b - 0. Is n greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/11)\/(z*(z\/z**(6\/23)*z)\/z)*(z\/z**(-35))\/(z*z**28*z))**(-7) assuming z is positive.\nAnswer: z**(-8029\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 2*n - 39, 3*n - 31 = y + 8. Let s(o) = -n*o - 18 + 18. Let w(m) = 2*m. Let g(a) = 9*a. Let k(b) = 6*g(b) - 26*w(b). What is s(k(i))?\nAnswer: -24*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -109 + 56. Let l = 125 + t. Let x be (-2)\/(((-2)\/(-8))\/((-27)\/l)). Solve 2 = p - 0*p, 3*u - 6 = x*p for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -428*v + 15 = -433*v. Which is smaller: -59\/32 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41708.\nAnswer: 2, 10427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1760*x**3 + 377*x**2 - 262*x**2 - 115*x**2 + 1314 wrt x?\nAnswer: -5280*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -170229.87 - -1969.87. Let j = w - -168260.409995. Let s = j + -0.41. Round s to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -395212104 divided by 23877?\nAnswer: -16552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2840320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 3*x - 5*k - 5, 2*k + 2 = -4*x. Let s(z) be the second derivative of -1\/30*z**4 - 2*z + 0 + x*z**3 + 0*z**2. Factor s(w).\nAnswer: -2*w**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2723*k**3 + 1673*k**2 + 5*k. Let z(n) = 1362*n**3 - 837*n**2 - 2*n. Let c(j) = -2*g(j) - 5*z(j). Find the third derivative of c(m) wrt m.\nAnswer: -8184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -260762 (base 9) in base 12?\nAnswer: -7759b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 261822361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -212 + 475. Let j = q + -83. Suppose -5*d + j = z, 3*d + z - 72 = d. Calculate the greatest common divisor of 4 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 16*n + 4. Let j be ((37 - -1) + 2)*8\/20. Let k be f(j). What is the third derivative of 9*s**2 - 19*s**k + 74*s**3 - 74*s**3 wrt s?\nAnswer: -456*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 87351144 to the nearest integer?\nAnswer: 9346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 10:22 AM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 111316, 111360, 111404?\n\"Answer: 44*n + 111272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/(-4) - 2*-1. Calculate the greatest common factor of 30 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**5\/4 + 5*a**4\/2 + 5*a**3\/4.\nAnswer: 5*a**3*(a + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -266 and -1.67.\nAnswer: -267.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.8 + -0.9. Let m = -4 + 5.7. Let d = m - 0.7. Which is smaller: p or d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of 8*a - 43 + 2*a**3 - 5\/2*a**2 + 1\/4*a**4. Calculate the remainder when h(-5) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r + 44. Let i(v) = -6. Let t(n) be the second derivative of n**3\/6 - 2*n**2 - 15*n. Let w(z) = -2*i(z) + 3*t(z). Determine j(w(l)).\nAnswer: -3*l + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 divided by 2603.\nAnswer: 51\/2603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12083.3*-4.\nAnswer: -48333.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 9*g**2 - 5*g + 2. Let p = -26 - -25. Let u(v) = -v**2 + v. Let h(t) = p*b(t) - 5*u(t). Suppose -4*q = -2*q - 8. Calculate h(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/(-5))\/(20\/(-50)). Factor m**4 - b*m**2 + 0*m**2 - 3*m**3 - 2*m**4 + 3*m + 4*m**4.\nAnswer: 3*m*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - -9. Let c be (0 - 20\/(-16))*56. Suppose -c = -q - 4*q. Calculate the remainder when t is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111100010100110 (base 2) to base 10.\nAnswer: 63654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5)\/(-2) + -1)*2. Suppose 0 = 4*c - 4*b + 2*b + 2, o*b - 3 = 3*c. Suppose -4*z = -8, c = j - 5*z - 0 + 3. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 922 - 249. Round x to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12061819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*g + 5*g - 2*g**4 + 2*g - 2*g**2 - 3*g as z*g**3 + y*g**2 + k*g + b + q*g**4 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(0 + 12\/(-20)). Suppose -3*k + 0*k = -5*s - 840, h*k = -s + 1400. Calculate the greatest common divisor of k and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 11:20 PM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/6 + 1 + 6\/(-12). Let q be 1\/(12\/(-90) - 123\/90). Which is the closest to q? (a) 0.021 (b) v (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -97995 - -167995. What is r rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-49)\/7 + (-4 - -17). Solve c + c + t = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188 - 173 + 361 + 6*v**3 + v**3.\nAnswer: 7*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*v - 18*v = -28*v - 2430 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 44\/2603 or 0.0097?\nAnswer: 44\/2603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 170 + -154 + (-1 - -3 - 6 - 38).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 2*j + 200. Let y = 71 - j. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12 - 12 - j**2 + (-2*j**2 + 5*j**2 - 2*j**2)*(-2 + 4 + 0)*(-3 + 2 - 2) - 299*j + 55*j**2 + 299*j.\nAnswer: 48*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 483 and -461599439.\nAnswer: -461598956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-27) + 8\/(-36). Suppose q*t = 5*t + 100. Let f be 1600008\/t - (-4)\/10. Round f to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 7:39 PM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25759924621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 3*y + 87, 2*o = 4*o + 3*y - 38. Suppose 0 = -0*g + 5*g - o. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7*(1 - (-58)\/(19 - 48))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-808)\/1050 + 20\/30. Let j = -1\/25 + x. Which is smaller: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4777487, -9555024, -14332561, -19110098?\n\"Answer: -4777537*p + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z = 5*k + 28, 4*z + 16 = -657*k + 652*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - d = -24. What is the remainder when d\/(-28) - (-570)\/14 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (286\/13 + -23)\/((-1)\/(-7))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -669 + 214. Let g = l + 455.00001874. What is g rounded to 6 decimal places?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 26241581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + a = 4. Let n(v) = 21*v - 1. Let b(r) = -42*r + 2. Let t(o) = 2*b(o) + 5*n(o). Let q be t(a). Solve 5*i + q = 0, m - 5*i - 21 = 2 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of 3*f**4\/4 - 2*f**3 - 39*f**2\/2 - 30*f - 53. Factor k(r).\nAnswer: 3*(r - 5)*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 6*r**2 + 8*r - 40. Let o be l(5). Suppose o = 2*z + 3*z - 5*h, -4*z = -5*h - 22. Solve -z*w + 18 = 3 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -85 to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124183?\nAnswer: 124183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**2 - 4 + 4)*(-48 + 48 - 39*l**3) - l**5 + 3*l**5 - 3*l**5 + 2 + 3 - 4 + 3*l**5.\nAnswer: 119*l**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 50 + -32. What is the tens digit of a + (3 - (2 - 0))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1316 - 884*p - 2628 + 1312.\nAnswer: -884*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114851231597 + 114851231597 + 14*u**2.\nAnswer: 14*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-95)\/(-114))\/((-2)\/6).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 733*g + 10. Is k(27) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(405) + -2 + (sqrt(10)\/sqrt(2))**2.\nAnswer: 2 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 11*d**2 + 15*d - 11. Give m(-9).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 314.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 9:17 PM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1661252608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2241937 divided by -47.\nAnswer: 2241937\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -441 + 405 - (-30 + 2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d. Let l(b) = 2*b - 1. Determine -11*j(h) + 6*l(h).\nAnswer: h - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 557298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-10)*(((v*(v**(6\/5)*v)\/v)\/v)\/v)\/v*v assuming v is positive.\nAnswer: v**(-49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 5*t + 19485 = -8*t, j - 4*t - 9730 = 0. What are the prime factors of j?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27 by -68237.\nAnswer: -27\/68237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*f + 711*h - 334*h = 382*h - 546, 5*f - 3*h + 35 = 0 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 780804 is divided by 292.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 130168165397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78.2933ml to litres.\nAnswer: 0.0782933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270517?\nAnswer: 13, 20809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**2\/13 - 229162*k\/13 - 229160\/13 = 0. Calculate k.\nAnswer: -114580, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7546875 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1922 or 76?\nAnswer: 1922","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -5*s + 23, -3 - 5 = -x - 2*s for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70\/(-28)*(-6)\/90*3.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28 - 26432.78.\nAnswer: -26460.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**1\/m)\/m)\/(m\/m**10))\/(m**0\/(m**6*m)) assuming m is positive.\nAnswer: m**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -7*n**3 - 4*n**2 + 3*n - 2. Let s(h) = -h**2. Let x(p) = -j(p) + s(p). Calculate x(2).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12034 is divided by 334?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 f when two letters picked without replacement from olqhflhoolgf.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -2*d**6\/3 + 11*d**3\/3 + 10. What is the third derivative of x(o) wrt o?\nAnswer: -240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1304 and -0.22927?\nAnswer: 298.96808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 477? (a) -3\/22 (b) 3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of 11\/15*v**6 + 0*v**2 + 0 + 0*v**5 + 0*v**4 - 10*v + 17\/6*v**3. What is the second derivative of n(s) wrt s?\nAnswer: 264*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6774538?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2960\/131301 or -1?\nAnswer: 2960\/131301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4192 divided by 281\nAnswer: 4192\/281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2344?\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 49412059, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -676*s - 71177. Give v(-105).\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11119 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(11) + -2 - (sqrt(11)*2)**2*-2) + 2.\nAnswer: -sqrt(11) + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.671198 years to decades.\nAnswer: 0.4671198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*c*i**3*k + 23*c*i**3 + 2*c*i**2 + 98*c*i*k - i**3*k + 4*i**3 - 11*i**2*k wrt i.\nAnswer: -36*c*k + 138*c - 6*k + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1364 + 1404 = 5*i, -x + 4*i + 668 = 0. What is the remainder when 724 is divided by x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-504)\/(-10) + (-2)\/5. Let b = t + 17. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40 + 11 + 8 + 11\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 2*t - 6, -t - 12 + 25 = -3*p for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 7) to base 13\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -631 + 1253 - 622 + 25*s.\nAnswer: 25*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189766?\nAnswer: 2, 239, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z + 11*z - 5*z)*(163 - 34 - 26) + 0*z + 0*z + 2*z to the form d*z + m and give d.\nAnswer: 723","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6c82 (base 13) in base 16?\nAnswer: 3bd4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, b: 1, z: 3, t: 1}. What is prob of sequence sz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4458782805?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4004 divided by 7?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -353*z - 54008. Let s be j(-153). Suppose 0 = -2*r - 4*h + 16, -3*h = -r - 5 + 3. Sort r, -2, s, 6.\nAnswer: -2, s, r, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - p - 34 - 17, p + 259 = 5*d. Is 26 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 8:04 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -17380527 (c) 0.4 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(343) - ((sqrt(343) - 5*sqrt(343)) + 5)))**2*3*-2.\nAnswer: -51600 + 2100*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/((u**(-2\/65)\/u)\/u))\/u*u)\/(u\/(u*u\/(u\/(u\/u**(-2\/21))))))\/(((u*u**(-22))\/u)\/(u\/(u*u\/u**8))) assuming u is positive.\nAnswer: u**(45217\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -16*g + 52. Let v(h) be the second derivative of -h**2 - 5*h + 0*h**3 + 0 + 1\/6*h**g. What is the first derivative of v(u) wrt u?\nAnswer: 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20322 (base 5) in base 14?\nAnswer: -6b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 708*f**2 - 22*f + 123. Let r(o) = 472*o**2 - 14*o + 77. Determine -8*r(w) + 5*u(w).\nAnswer: -236*w**2 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.163025101 - 0.29.\nAnswer: -0.126974899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 66755423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12666324 to the power of 1\/4, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3*r**3 - 74*r**2 - 45*r + 74. Let l be j(-24). Let s = 0 + -5. Is 3 a factor of l\/(s\/30*-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 367 + ba03?\nAnswer: bd6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 0.4, -2\/3, 1\/45, 9?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 18*x + 16. Is r(14) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -4.9981. Round d to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86851711 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -1 + 18*l + 4 - 16*l. Let g(k) = -2*k - 4. Let w(f) = -3*g(f) - 4*p(f). Let v(b) = 18*b. Give v(w(q)).\nAnswer: -36*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/4))**(4\/7)\/((m*m\/m**(-3))\/m**(1\/3)))**(-41) assuming m is positive.\nAnswer: m**(3895\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5*f + 2)*(2*f**2 - 3*f**2 + 2*f**2)*(-3*f + 7*f + 2*f) + (-3*f + 0*f + 2*f)*(-6*f**3 + 2*f**3 + 2*f**3).\nAnswer: 32*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 18496*k - 630145. What is g(-34)?\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) -1 (c) -1\/7 (d) -375\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1215610?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 191944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3705218 by 11.\nAnswer: 336838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-14))**41\/((w\/w**(2\/5))\/w)**(-26\/3))**(5\/6) assuming w is positive.\nAnswer: w**(-4331\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 + (-73 - -91) + -2 + 12?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 116, 121, 136, 167, 220?\n\"Answer: t**3 - t**2 + t + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.74 - 0.9. Let r = 20.4 + -20.04. Let f = h + r. Sort -1\/2, f, -0.3.\nAnswer: -1\/2, -0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 14. Let h(z) = -z**3 + 2*z**2 + 3*z - 3. Is h(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Let y(k) = 17*k**3 - 9*k**2 + 5. Let o(m) = -9*m**3 + 4*m**2 - 3. Determine -5*o(q) - 3*y(q).\nAnswer: -6*q**3 + 7*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1559 and 17076.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -27 + 59 + -23 + 12.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -8*p**2 + 9*p - 3. Suppose 0 = -8*r + 36 - 28. Let n be v(r). Which is the smallest value? (a) n (b) -0.02 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 (base 14) in base 12?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 5*v + 21. Let i(j) = 57*j - 1. Let m(w) = -57*w. Let x(q) = v*m(q) - 4*i(q). Is x(-17) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*h + 3*h - 610, q - 208 = -4*h. Let a be q\/(-4)*71\/(-2). Suppose l + a = -1225. What is l rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1298\/354*(-10)\/(-55). Let 4*b**3 + 0*b - i*b**4 - 10\/3*b**2 + 0 = 0. Calculate b.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i. Let x(y) = 13 - 12 + 11*y**2 - 1 + 3*y. Let j(t) = 10*t**2 + 2*t. Let g(c) = -3*j(c) + 2*x(c). Determine q(g(o)).\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 4*w + 26, -31 = -3*h + 6*w - 2*w. Suppose 0 = h*r + 5*i + 106 - 461, -3*r - i = -203. Suppose 3*c = 315 + r. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 1:55 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 12) to base 4\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xkxtvtptt. What is prob of sequence txv?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -200175 divided by -3925.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + (3*sqrt(176) - sqrt(176)) + 3.\nAnswer: 3 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 - -10. Suppose -128 + u = -5*o. What is the smallest common multiple of o and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 14*c**2 + 3 - 15*c**2 + 1)*(5 - 4 + 0).\nAnswer: -c**2 - c + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 425121431?\nAnswer: -425121440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -1.659908?\nAnswer: -0.4979724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-25 + 1163504\/(-96))*-6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*v - 8*v**3 + 7*v**3 + 0*v**3 + 40*v in the form n*v**3 + r + t*v**2 + j*v and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -46*o - 33. Let s be r(-5). Suppose -17*b = -16*b - s. Does 24 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13796 divided by 160.\nAnswer: -3449\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(2\/5))**(-3\/14)*(p**0\/p)**20 assuming p is positive.\nAnswer: p**(-718\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (b + 2*b - b)*(-639 + 292 - 408) as u*b + j and give u.\nAnswer: -1510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151725 = 64*o - 386643. What is the greatest common factor of o and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -64ba34 + 2?\nAnswer: -64ba32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2984.6 rounded to the nearest 10?\nAnswer: -2980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 80222111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 3137 divide 241809371?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2526 times -75.78\nAnswer: 191420.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32402 is divided by 271?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 145*o - 147*o. Solve -8 = -5*s - 3*d, 4*d + d + o = -4*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -22, -45, -72, -103, -138, -177?\n\"Answer: -2*a**2 - 17*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((56\/1225)\/4)\/((-1)\/(-7))\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1001 (b) 1\/4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11032 (base 4) to base 13.\nAnswer: -1c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 8*l - 1. Suppose 0 = 3*h + 2*h - 20. Suppose 4*r = h*q, 6*q - 3*q = -r + 16. Suppose -x - 5*o = -o + 14, -r*o - 32 = -2*x. Calculate z(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14697983 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -4*g**2 - g + 2. Let s(c) = 9*c**2 + 2*c - 5. What is 7*k(p) + 3*s(p)?\nAnswer: -p**2 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**(-16)*(u\/(u**(-1)\/u))\/u*u)**(-3\/23)\/((u**2)**32*(u*u\/(u\/(u\/u**(-3\/5))))\/((u\/u**(2\/15))\/u*u)) assuming u is positive.\nAnswer: u**(-22183\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d. Let c be b(1). Suppose 0 = -c*o - 6*o + 27. Suppose -2*k + 412 = -3*v, o = 3*v - 3. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*o + 1. Suppose -o*r + t = -4*t, 0 = -5*t + 15. Calculate the highest common factor of r and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 12:12 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 795492945 to the nearest integer?\nAnswer: 927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.5, 1, 0.4, 2322.79, 2\/11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1295 and 2348871.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a gram in milligrams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t - 23. Let a be o(9). Suppose 2 = 5*k - a*k. Let -3*u - 3\/2 - 3\/2*u**k = 0. Calculate u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 2:43 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -208020100 to the nearest one million.\nAnswer: -208000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -96551, -4, 18.2, 1 in decreasing order.\nAnswer: 18.2, 1, -4, -96551","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1884.7 to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 25 in descending order.\nAnswer: 25, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 less than 5\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 370\/(-9620)*(-13)\/4.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 252143440 + 11?\nAnswer: 252143451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/7298 and -67\/39467584.\nAnswer: 39467584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*g**3 - 193*g**2 - 13*g**3 + 1 - 739*g**2 + 230*g**2 - 7*g**3 to i + l*g**3 + t*g + a*g**2 and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/3 in -3\/2, -4, -2\/17, 5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/90*(-1 + 4). What is the smallest value in -2, 5\/4, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3196.2312 minutes in days?\nAnswer: 2.219605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 225257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/2655332 and -56\/425.\nAnswer: 66383300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 4*u + 3*u + 102, -4*d + 84 = 2*u. Calculate the smallest common multiple of 8 and d.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -88*c - 346*c**3 + 174*c**3 + 169*c**3 + (2*c**2 - 2*c**2 - 2*c**2)*(0*c - 2*c + 4*c) as w*c + q + u*c**3 + o*c**2 and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -12 times -4\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -23, -3, -56, -4\/5, 2\/9, -2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j + 292 + 267 = 0. Suppose u - j = -205. Is u at most as big as -161?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2415\/77 + (-72)\/198. Which is bigger: 30 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 30 + (3 - 2) + -2\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7630 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - v**2 - v - 1. Let h be d(-2). Suppose 3*z - 4 = h. What is the highest common divisor of z and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 215053 (base 6) to base 9\nAnswer: 26566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 9*j**2 + 5 + 6 + 2893*j - 2915*j - 3. What is the units digit of y(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -112 + 114. Let g(l) = 3*l + 0 + 1 - l + 14*l**w + 0*l. Determine g(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22.55 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 159813.311 and 0.4.\nAnswer: 63925.3244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 836096077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 455 = 5*y, -y + 17 = -2*b - 284. Let o = -144 - b. Solve -l - 19 = -o*c + 2*c, 3*l + 4*c - 7 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(4\/9)*b**(-6))**(-14)*((((b\/b**4)\/b)\/b)\/(b\/(b*b**(1\/5))))\/(b**(-2\/7)\/b)**(-19\/6) assuming b is positive.\nAnswer: b**(34591\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 18*k**2 + 15*k - 18. Let h(a) = a**2 + 13*a + 3. Suppose 0 = 10*q - 7*q + 33. Let i be h(q). What is the tens digit of u(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 7:31 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 149245 and 855?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + (-3 - -1) + -1. Suppose 6*q = -9547 + 9559. Sort k, 9, q in descending order.\nAnswer: 9, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -14, 1, -328 in descending order.\nAnswer: 1, -5, -14, -328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (12 - (-4347)\/(-14))\/(2\/(-4)).\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 8 = -4*x, -11*h = -15*h - 12. Which is the closest to x? (a) 4\/7 (b) 0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wuzyyzzzzwzzzzxyuzz. Give prob of picking 1 w and 1 y.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 144*c**3*g**2 + 2763*c**3 + 43*c**2*g + 8*c**2 - 1577*c*g**2 + 2 wrt c.\nAnswer: 864*g**2 + 16578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i + 2*i - i)*(3700*i - 33797 + 33797)*(2 - 2 + 2) to p + w*i**2 + x*i and give w.\nAnswer: 14800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-201 - 87 - 23)*(-u**2 + 0*u**2 - 2*u**2) in the form o*u + y + t*u**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41027 + -127634999\/3111. Are k and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -29766, -1, 151 in decreasing order.\nAnswer: 151, -1, -3, -4, -29766","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37 + -11. List the prime factors of f.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/4673 - -210211\/172901. Calculate the common denominator of r and -13\/6.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30*a**2*l**4 + a**2*l**2 + 2*a**2 - 5 with respect to l.\nAnswer: 120*a**2*l**3 + 2*a**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5 = 3. What are the prime factors of ((-45)\/18)\/(c\/52)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -123, -427, -933, -1641, -2551, -3663, -4977?\nAnswer: -6493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1407 to 2 decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000444711 to 6 decimal places.\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23*u**3 + 65*u + 51*u**3 - 29*u**3 + (6 - 1 - 3)*(-4*u**3 + 5*u**3 - 3*u**3).\nAnswer: -5*u**3 + 65*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/5 (b) 6.1 (c) -1\/6 (d) -0.7 (e) -11 (f) 0.057\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -6 - (9 + -13 + 9) - -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 477949?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 127\/2 + (-1081)\/(-46) + -23. Let k be (-206)\/4 + (-1)\/2. Let p = t + k. Is 5 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 6:12 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 967\/8 + -121. Which is the nearest to 0? (a) -4\/9 (b) k (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -m + 7, -m - 4*m = -15. Suppose -97 = -5*f - 32. Let h(k) = -3*k + 37. Let o be h(f). Put o, u, 1 in increasing order.\nAnswer: u, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.187883782 less than -0.0213241?\nAnswer: 0.166559682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 4607*u**3 + 4602*u**3 + 4422*u**3 - 13288*u**3.\nAnswer: 343*u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8830?\nAnswer: 2, 5, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -g - 1, 3*o + o = 5*g + 3. Suppose 1485 = 17*j - o*j. Let b = -94 + j. Solve -b*q + x + 3 = -8, 2*q + 2*x = 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.8155249ns to weeks.\nAnswer: 0.00000000000004929815625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 4:40 AM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28018?\nAnswer: 2, 14009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) 1\/3 (b) -27413 (c) 9\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0292 * 302136.\nAnswer: -8822.3712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67330 is divided by 60?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -73, -144, -213, -280?\n\"Answer: j**2 - 74*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*w = -37*w - u + 18, -3*u + 19 = 5*w. Let m(p) be the third derivative of -1\/420*p**w + 0 - 6*p**2 + 2\/21*p**3 + 0*p + 0*p**4. What is z in m(z) = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 5*k**2 - 2*k - 4. Calculate m(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 3*g**2 - 2*g - 4. Let r be v(-3). Suppose 4*q = 16, -76*q + 72*q = 5*z - 76. Solve -r*u + z = u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f + 1. Let n(p) = p**2 - 4*p. Let k(r) = n(r) - v(r). Determine k(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270346494?\nAnswer: 2, 3, 11, 37, 149, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -469*z**2. Let t(a) = -3*a**2. What is c(t(w))?\nAnswer: -4221*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 192.6924 milliseconds to minutes.\nAnswer: 0.00321154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 22837 times -229\nAnswer: -5229673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3846986 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen eighths of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4.2375481 and 2.\nAnswer: 6.2375481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of l**4\/6 - l**3\/3 - 4*l**2. Is 10 a factor of s(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppmpmlpmp. What is prob of picking 2 m and 2 p?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 214\/3 in -2, -1139, 0, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) + sqrt(119)*2*6 - 6*(sqrt(119) + -2*sqrt(119)))*6)\/(sqrt(49)\/(sqrt(7)*-1) + sqrt(112)*-4 + sqrt(7)).\nAnswer: -57*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - -7. Let x be (-2)\/4 + 25\/10. Let i = x + -1. Solve 2*o - m = -i for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13a8534 (base 11) to base 5.\nAnswer: -1104144124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 19 = 13. Suppose 0 = -4*m - 0*m + q. Let b(w) = -w - 1. Let z(g) = -g - 2. Let d(k) = m*b(k) - z(k). Let u(a) = -a. Calculate u(d(p)).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -v**3\/6 + 5*v**2\/2 + 177*v. Determine n(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -0.004357975?\nAnswer: -0.004357975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 870 divided by 146?\nAnswer: 435\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 22372, 22391, 22438, 22525, 22664, 22867?\n\"Answer: 2*g**3 + 2*g**2 - g + 22369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of 3*j**4\/2 + 5*j**2 - 15. Find the second derivative of i(b) wrt b.\nAnswer: 36*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (374\/(-578) - (2 - 1))\/((-292)\/2482)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.75 + -19.35. Let s = q - -23. Which is the second biggest value? (a) -1\/6 (b) -5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/8? (a) -3\/2 (b) 1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-12) - 0)*((-742)\/(-196))\/53?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-550)\/(-5) - (9 + -5). Solve 0 = 43*t + b + 66 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 14982, 14968, 14954, 14940, 14926?\n\"Answer: -14*k + 14996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000287009354 to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 75*m + 5. Let w(x) = -145*x - 11. Calculate 9*n(f) + 4*w(f).\nAnswer: 95*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001935834 to six decimal places.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -18322769681 and -243?\nAnswer: 18322769438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -68 + 30 + -16 - -80.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3308776 - -1590826. Let t = 1717959.000084 + k. Let i = t + -9. What is i rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 274\/10 + 4\/(-10) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 15*b**2 - 10*b. Suppose -32 + 121 = 5*n - 3*a, 3*n + 5*a = 33. Is 32 a factor of j(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 5*m + 5 - 40, 3*v = -m + 18. Suppose s - 36 = 10. What is the remainder when s is divided by -1 + -1 + 42\/m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*i**2 + 4683*i - 4683*i.\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**3 - 532*x**2 - 1083*x + 2951. Give i(268).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 10, n: 4}. What is prob of picking 3 y?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 453.9187 years?\nAnswer: 4.539187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 101001021221122 (base 3) in base 9?\nAnswer: 11037848","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g - 12. Let r be x(7). Suppose 2*b + w + r*w + 3 = 0, -3*b + 5 = -5*w. Solve 2*f + 2 = -b for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*n**4 + 620*n**3 - 4805*n**2.\nAnswer: -5*n**2*(2*n - 31)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a factor of 27686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z - o - 84186 + 84205, -5*o = -3*z - 37 - 44 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11770664821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*x = -252 + 252 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 7*h**2 + 18*h + 85. What is the units digit of y(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32023903 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 6. Suppose 0 = h - r*i + 16, 5*h = 2*h - i + 4. Suppose -a + 6 + h = 0. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**2 - 14*o**2 + o + 2*o**4 - 4*o**2 - 26 + 4*o**3 + 26 to s*o**3 + l*o + j + i*o**4 + v*o**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -350. Let l = -215 - h. What are the prime factors of l?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56 + -56. Suppose 2*t = -2, i = 4*s - 0*s - 4*t - 4. Let n be 0\/1*(-2)\/(-8) + s. Let b(c) = c**2 - 8. What is b(n)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1138 divide 2062056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14742 to the power of 1\/2, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 163*a**6*j**3 + a**3*j**3 + 10*a**2*j - a*j**3 - 1 wrt a.\nAnswer: 19560*a**3*j**3 + 6*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4324342448 and 211.18.\nAnswer: -4324342236.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1159671 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 5\/1715897 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyooyyooy. Give prob of sequence ooy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/(-9))\/((-2)\/(-3)))\/((-168)\/108).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/45)\/(19\/(-5)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of -9*q**7\/280 + 7*q**5\/24 - 89*q**4\/24 + 105*q**2. Let c(z) be the second derivative of o(z). Differentiate c(s) wrt s.\nAnswer: -162*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008 to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/142748 and -67\/5620.\nAnswer: 713740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*x**3*y - x**3 + 1819*x*y**2 + 5178 wrt y?\nAnswer: 3*x**3 + 3638*x*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -105 + 103. Suppose 2*x - 3 = 3*l, 5*x - 5*l - 14 + 4 = 0. Suppose 3*n - g + 21 = -13, -n - 23 = 2*g. Put i, n, x, 0 in increasing order.\nAnswer: n, i, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10486 minus -427?\nAnswer: 426.89514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 80\/33 and 133\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2485*g**2 - 4*g**3 - 2485*g**2.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-5748.9.\nAnswer: 11497.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4, 19, 44, 79?\n\"Answer: 5*f**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1072\/497 + 1\/71. Suppose -21 = -0*n - n. Calculate the common denominator of 6\/n - 25\/14 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*i**2 + 15*i**2 - 22*i**2 + i - 10 to the form t*i + x + y*i**2 and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1568*h - 61068 = 342*h + 499*h for h.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t. Let h(k) = 6*k + 3*k**2 + 7 + k**3 + 7*k**2 - 4*k**2. Let b be h(-5). Let n(w) = -2*w**2 + w**2 + 0*w**b. Calculate n(v(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p**3 - 35164*p**2 + 210776*p + 562240 = 0.\nAnswer: -2, 8, 8785","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*f**3*u**2*z**2 - 10410*f**3*u*z**2 + 6*f**3*u - 84*f**2*z - 2*f*u**2 - 7*u*z wrt z?\nAnswer: -10*f**3*u**2 - 20820*f**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1, -3, -7?\n\"Answer: -4*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.76314784 to 1 decimal place.\nAnswer: -4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 47 + 39 - 5*r)*(-128*r + 14578 - 14578).\nAnswer: 256*r**2 + 1024*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 5 - 2)*(4*l - 2*l + 0*l) - 2 + 2 + l + 3*l - l + 0*l)*(13 - 20 - 128) to u*l + t and give u.\nAnswer: -945","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (3 - (-32890)\/(-10800))\/(6\/(-15)) and 61\/486.\nAnswer: 3888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 + -102152?\nAnswer: -102161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8772 + 18594 + 30095 = 2202*w - 23941 for w.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhdhhhhddhdd. Give prob of picking 4 d.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 0.3, 2\/43, -1 in decreasing order.\nAnswer: 0.3, 2\/43, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4 - 6647*p**3 - 39858*p**2 - 79700*p - 53128.\nAnswer: -(p + 2)**3*(p + 6641)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gsbddvh. Give prob of picking 1 g and 1 v.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/120)\/((-88)\/(-20)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 33 = 3*y, 2*t - 5*y = 6*t - 41. Suppose 0 = -2*m + 3*m + t. Let d = 10 - m. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (17 - (-1)\/1)*1. Let q be o\/4 - (20 - 16). Which is bigger: 2 or q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.64 times -184\nAnswer: -301.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 o, and 1 z when four letters picked without replacement from {x: 2, o: 4, s: 1, w: 2, z: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2*o + 387 + 697 = 0, -5*a = -o + 2714. Let l = -303 - a. What is the highest common divisor of 20 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3316201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 7*f**2 + 2. Let c = -1053 - -1051. Let n(g) be the second derivative of g**2\/2 + 19*g. Determine c*n(o) + y(o).\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -77*177868\nAnswer: -13695836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2. Let h(n) = 209*n**2 - 121*n. Let d(p) = 7*p**2 - 4*p. Let t(r) = 121*d(r) - 4*h(r). Give t(a(s)).\nAnswer: 11*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + -28)\/(-6) + -2 + 4. Solve -18*p = -17*p + v + r, -3*v - 13 = -p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 1498*v + 351*v - 11073 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 1156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 94 = p + 77, 4*o + 6 = 2*p. Solve 2*u - 2 = o*k, u - 44 = 4*k - 46 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/2318 and 31\/12.\nAnswer: 13908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 n when four letters picked without replacement from {e: 4, n: 11, a: 4}?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(3 + ((sqrt(170) - -2*sqrt(170))*1)\/((2*sqrt(120))\/sqrt(12))) + -3)**2.\nAnswer: 270*sqrt(17) + 1602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1488 is divided by 380?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + (sqrt(1539) + 1)**2 - -2*(sqrt(19) + sqrt(76)\/sqrt(4)).\nAnswer: 23*sqrt(19) + 1540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2*(sqrt(3) + 1 + -5) + 1 + ((sqrt(216)\/sqrt(2))\/(2*sqrt(729) + sqrt(9)))**2).\nAnswer: -10060\/361 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -5*s**2 + 488*s - 407. Give d(100).\nAnswer: -1607","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -n**9\/3024 + n**8\/840 + n**7\/840 - n**6\/180 + 4*n**3\/3 - 25*n + 120. Let m(a) be the third derivative of r(a). Factor m(q).\nAnswer: -q**2*(q - 2)*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b - 2. Let x be a(4). Let f = 11 - -13. What is the highest common factor of f and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20 - -3430771?\nAnswer: 3431011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -3*j + 7 + 45, -4*c + j = -52. Calculate the greatest common divisor of c and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -674, -1341, -2004, -2663, -3318, -3969, -4616?\n\"Answer: 2*r**2 - 673*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -103132 (base 4) in base 9?\nAnswer: -1634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 v when three letters picked without replacement from {g: 1, v: 9, h: 1}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (13 - 303\/24)*2 + 54\/(-8)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201468 is divided by 6947.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3970940 is divided by 283634.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 36 = -12*q. Let x(g) = 7*g**2 - 3*g - 2. Let d be x(-2). What is the greatest common factor of d and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.955 from -10.3989.\nAnswer: -11.3539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 618 + -62. Let m = i + -523. Solve 3*d - 14*d = -m for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/10414 and 47\/11684.\nAnswer: 479044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -17.6041168 and 170778.\nAnswer: 170760.3958832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -c**5\/60 + 3*c**3 - c**2. Let y = 801 - 801. What is the remainder when 52 is divided by h(y)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 6*r**2 + 297*r + 2246. Give z(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 5*h + 70 = -60, -5*h = -10. Let k = v + -36. Suppose 0 = 2*q - 5*d + 11, k*q + 7*d = 3*d + 20. Solve 8 = -2*x + 2*l, 3*l + 6 = -x - q for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -55428 + 316277. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24 in -3\/4, -4, 6, 138?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/61? (a) 1 (b) -0.1 (c) 2 (d) 2\/7 (e) -3.34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 0. Let n be t*-2 - (6 - 5). Let j(z) = 3*z**3 - z**2 - 2*z. Let g(y) = 7*y**3 - 3*y**2 - 4*y. Determine n*j(b) + 2*g(b).\nAnswer: -b**3 - b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30437129*q**2 + 39401634*q wrt q?\nAnswer: 60874258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35 and 338940?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 t, and 1 r when three letters picked without replacement from rrrttrrrnmmr.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6732\/924 + (-2)\/7. Solve -j*v = -11*v + 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3644 - 24065?\nAnswer: -20121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -f**4\/12 + 19*f**3\/6 + 10*f**2 - 15. Give a(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -374639 (base 14) in base 16?\nAnswer: -1ce8bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17\/180 - 268\/45. Find the common denominator of n and 13\/508.\nAnswer: 2540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 838, 843, 860, 895, 954, 1043, 1168?\nAnswer: 1335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.1 (b) 0.5 (c) 0.001\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6035*s - 146272 - 95128 = 0 for s.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j**2 + 3*j**2 + 2*j**3 - 3*j**2. Let m = -145 + 143. Calculate k(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*p + 3258 - 3112 = 4*w, -w = p - 16 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -2\/1649809?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 3*n - 4*z - 158, -z = -5*n + 269. Suppose -2*g - 13*d + n = -16*d, 0 = 5*d. What is the remainder when 159 is divided by g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3565 - -3915. What is the remainder when w is divided by 131?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39*a**2*r**3 - 63*a**2*r - a*r**2 wrt r?\nAnswer: -234*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a gram in micrograms?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31182 by 10394.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*m**3*x**2 - 3*m**3*x - 11*m**2*x - 6*m + 23*x**5 wrt x?\nAnswer: -24*m**3 + 460*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -2*q**4\/3 + q**3\/6 - q**2\/2 - 2*q. Let l be n(1). Let x(i) = i**3 + 8*i**2 - 3*i - 2. Is x(l) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 12:33 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 35*j**3 + 34*j**3 + 0)*(-2 - 3 + 4)*(-2 + 0 + 3).\nAnswer: j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000014289468 rounded to seven dps?\nAnswer: 0.0000143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -3*a + 7*h - 3*h, 3*a = -2*h + 114. Suppose 4*m + 4 = a. What is the highest common factor of m and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75913 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2276907177?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/5 (b) -0.2109 (c) 2\/3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/(-80)*(3420\/(-38))\/((-6)\/4)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 3*j**2 - 3*j + 13. What is f(4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48 - -69) + -11 + (1 - 6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 + 24. Suppose -k = 6*y - 1351. Calculate the greatest common divisor of 24 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 69301?\nAnswer: -69303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2780 + 2777. Let d = -0.1 + -0.1. Let n = d + 0.1. What is the biggest value in z, -2\/5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/2*(-2)\/24*-4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 52 and 99.\nAnswer: 5148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2869, 7229, 14495, 24667?\nAnswer: 37745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 16) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2304297.\nAnswer: 3, 256033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/(-48) + (-62)\/(-6). Let k be t\/(-3)*(-9)\/3. Let i be ((-1)\/(-2))\/((-13)\/(-156)). Solve -i*y + k = -y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 7 = -39. Suppose -5*w + w + u = 0. Suppose -w*c + 68 = 2*c. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/6 and 1759\/765 - 1 - (-5 + 175\/28).\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4539 - -0.4007. Which is smaller: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -660*m - 1271*m = -79462 + 239405 + 120052 for m.\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -4*t - 3, -l - 4*t = -127. Suppose -4*x = -3*m - l - 91, -x = 2*m - 53. Is 15 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 1 = 3*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-38)*j*j**(-7\/4))\/(j**(-1\/26)\/(j*j\/(j**(-31)*j*j*j*j))))**47 assuming j is positive.\nAnswer: j**(-23735\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 118?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*b + 2*n, -4*b + 2*n = -4 - 8. Let c be (0 + b)*(-3 + 5). Is -1*1 - (-58 + c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 2*f - 10 + 7 + 2*f + 0 + 0 + (-3*f + 4*f - 3*f)*(-4 + 3 - 1) + 82*f + 57 - 57 as p*f + u and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of j**7\/42 - 32*j**6\/15 - 33*j**5\/5 - j**4\/6 + 131*j**3\/6 + 33*j**2 + 73*j - 10. Factor n(o).\nAnswer: (o - 66)*(o - 1)*(o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3*h - 259 = 0, -5*t - h = -154 - 113. List the prime factors of t.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 divided by 1\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 - -1) + (2 - 5). Put 2, 1, n in descending order.\nAnswer: 2, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.28 and 889135.\nAnswer: -248957.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 182, -3, 3207, 0.06, -1\/3.\nAnswer: -3, -1\/3, 0.06, 182, 3207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1102132 (base 4) to base 7.\nAnswer: 21250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8760000 rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**2 + 3*m**2 + 42*m + 6*m - 26*m.\nAnswer: m**2 + 22*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -20, 3, -8.\nAnswer: -20, -8, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - k. Let a(t) = 9076*t**2 - 11345*t. Determine a(g) - 11345*o(g).\nAnswer: -2269*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((150400\/(-611))\/50 - (-5 + -1)).\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 135013978\/187 - (-4)\/34. Round t to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than -118.4629?\nAnswer: -117.9629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - m = -6 + 32, -3*f - 5*m = -39. Suppose -5*v = -2 - f. What is the second smallest value in -3\/7, v, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 1 = -2*c. Suppose l + 15 = 3*i + 4, -3*l - 9 = 3*i. Sort c, 1, i.\nAnswer: c, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38 + 27. Let q = -11.4 - z. Which is the second biggest value? (a) q (b) -5\/2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lll when three letters picked without replacement from xllxllllllllllx?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/((w\/(w*w**(-3)))\/w))\/w)**(29\/4))**(1\/4) assuming w is positive.\nAnswer: w**(-29\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 101.75057 and 17?\nAnswer: 1729.75969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 take away 119.806967?\nAnswer: -188.806967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 146041371 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0740469*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4726, -4961, -5304, -5755?\nAnswer: -6314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6995 by -7356.\nAnswer: 6995\/7356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-3)*s**(4\/7))\/(s*s\/(s*s\/(s**(-15)*s)*s)*s**0) assuming s is positive.\nAnswer: s**(95\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6 times -110.09\nAnswer: -660.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.56 + 1873221?\nAnswer: 1873255.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104605.\nAnswer: 5, 20921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 12:00 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.6, -1, -4, -0.4413, 1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 4*u - 11, -5*u + 35 = r + 2*r. What is the closest to -2 in -2, u, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + (-2*sqrt(190))\/sqrt(10) + (sqrt(19) - (sqrt(19) + 5 + 2*sqrt(19))))*6 + (2*2*sqrt(228))\/(-2*sqrt(588)).\nAnswer: -128*sqrt(19)\/7 - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 272361 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 124 and 274412.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -13 + 5 - (8 - 1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-3))\/((-2)\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 2*z + 1651, -14*z + 16*z - 2192 = -4*i. Suppose -5*f - 4*m + 2803 = 0, -6*f + 5*f + 5*m = -i. What is the hundreds digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of -r**3\/3 + 10*r. Let l(k) = 3*k. Calculate n(l(i)).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -5*c + h, -4*c + 5*h = 11 - 1 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -11*q**2 - 11*q - 1. Let y(c) = 5*c**2 + 6*c + 1. Determine -3*a(u) - 7*y(u).\nAnswer: -2*u**2 - 9*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -0*o + 2*r - 46, 4*o + 2*r - 38 = 0. Suppose -4*w + 5*g + 70 = 0, -g = -3*w + g + 56. Solve w = -o*j + 4*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 168?\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/3))**(1\/39)*l**(-7\/5)\/((l**(-9)\/l)\/l))**10 assuming l is positive.\nAnswer: l**(11242\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -11640883\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2907 = 65*n - 536*n + 390 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-4))**(-2\/175)\/(m**9\/m**(1\/12)) assuming m is positive.\nAnswer: m**(-18653\/2100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 <= 83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 644*k + 5303. What is the hundreds digit of s(34)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o + 1. Let d be v(1). Suppose -24 = -3*y + d*t - t, -3*t - 15 = -2*y. What is the second derivative of y*i**2 - 9*i**2 + 3*i - 6*i**4 + 0*i wrt i?\nAnswer: -72*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 22*t - 81. Let s be d(4). Solve s*g + 8*g = 18*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 116 * -11.5.\nAnswer: -1334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -17 times 389\nAnswer: -6613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.2 + 1.14. Sort 0.1, m, 1\/2.\nAnswer: m, 0.1, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5017673*w**2 - 2292785*w wrt w?\nAnswer: -10035346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(3\/8)*c**4)\/(c\/(c*(c*(c\/(c\/(c*c**(-1))))\/c)\/c)*c**5))\/(c**(-2\/7)\/(c\/(c*c*c**(-7)*c))*c**6*c*c\/(c*c**(1\/3))*c) assuming c is positive.\nAnswer: c**(-673\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -67 - -109. What is the units digit of 6\/36 + 45857\/m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5247940?\nAnswer: 2, 5, 257, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3611083?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3336\/23 + 145. Let v = -548\/39 + 24389\/1794. Let d = x + v. Calculate the common denominator of d and 26\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*c - 104*c + 273*c + 1120 = 0 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4773, -4769, -4765?\nAnswer: -4761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + l - 4*l + 3 = 0, 2*l = -5*m + 23. Let q(c) = -5 + 3 + m + 3 - 2*c. What is q(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -17) + -10 + -16 + 26 + 32\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1.6, -1, 0.5, -7782?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60717422, 121434846, 182152270, 242869694?\nAnswer: 303587118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 67*z**2 - 278*z - 27. List the prime factors of s(62).\nAnswer: 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*-1 - 371\/(-357). Let c = 29\/1139 + 18\/67. Let w = n + c. Which is bigger: w or -1\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 0*w = 0. Solve -1 = -w*j - j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24841 + -16678. What is the thousands digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188 = 4*x + 4. Let p = x - 47. What is the second biggest value in 0, 0.1, p, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2854 + -2679. Solve 190 = -5*g + v for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (8 + 62\/(-5))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17926199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1676*b = -1640*b - 432 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 4*m**2 - 29*m - 119. Let c be k(19). Calculate the highest common factor of 172 and c.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -x**3\/6 + x**2 + x. Let g be m(0). Is ((-33)\/(-4))\/(g\/8) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 + 191344*o + 4576565792.\nAnswer: 2*(o + 47836)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 25324 (b) -4 (c) -1\/4 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 4*b = 2. Suppose -f + 9 = b*f. Let a be ((-30)\/185)\/3 + (-4408)\/(-2146). Solve -f*s - 1 = a, -3*y = 4*s - 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -252 <= -211?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 40 = 4*c, 2*c - 29 = 4*a - 3*a. Let f = c + -11. Solve 5*s = 3*m - 3 - f, 3*s + 2*m = -22 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13.9 in 5, -4, -0.5, -16?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/18 + (-83)\/(-9). Let v = 18 - r. Suppose -3*y + 18 - v = 0. Solve 0 = 3*h - 4*h, 5 = d + y*h for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 348 - 352. Which is bigger: q or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 5:18 PM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -535072 (base 9) to base 5\nAnswer: -40144023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/5 (b) -0.01 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0408824807 to 3 decimal places.\nAnswer: -0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 30a269 - -2a?\nAnswer: 30a295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that t**4\/2 + 2599*t**3\/2 - 113411*t**2\/2 + 516189*t\/2 + 1319679 = 0.\nAnswer: -2642, -3, 9, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 19 = -10*y - 19, -3272*y - 28 = -4*n + 3273*y - 6540*y for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4336038.\nAnswer: 2, 3, 7, 11471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 1bb3?\nAnswer: -1bb7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a**2 - 9*a**2 - a**2. Let x(c) = -c. Determine x(l(p)).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 275112715.\nAnswer: 5, 55022543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13.0103 and -4?\nAnswer: 52.0412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 12*h**3 - 19*h**2 + 19*h - 23. Let l(c) = c**3 - c**2 - 1. Let o(k) = 44*l(k) - 4*t(k). What is j in o(j) = 0?\nAnswer: 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 2:40 AM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 2*a - 6 + 15, 5*a + 5*n - 40 = 0. Let k = 55 - 35. Solve -3*p + 14 = 2*p - a*x, -2*x + k = 4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - s)*(1 + 1 - 3) - 2*s + s + 2*s + 2*s - 7*s + 2*s)*(s**2 - 2*s**2 + 3*s**2) - 5*s - 4*s**3 + 5*s.\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 5*d + 17, 2 = d + 5*t - 0*t for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -12. Let v = q + 3. Let j = -0.05 - 0.25. Which is the nearest to 2\/3? (a) v (b) j (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -480811*p**3 - 2*p**2 - 480813*p**3 + 2*p**2 - 480819*p**3 + 1442452*p**3.\nAnswer: 9*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -67.45784 times 3\nAnswer: -202.37352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -8*w. Suppose w = -0*l + 3*l - 9. Suppose 112 = -p + l*p. Calculate the highest common factor of p and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 2562336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - (-3 - 24\/(-5)). Let b be -1*(-3)\/(-6)*-6. Let i be -2*b\/18*-3. Which is bigger: c or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 22317870683*o**2 + 22317870678*o**2 + 2.\nAnswer: -5*o**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3992*b**4 - 87*b**2 + b - 6?\nAnswer: 95808*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -4*r - 2*x + 291, x = -1. Which is greater: r or 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 36*c - 105. Give d(7).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-368)\/(-6))\/((-1)\/75*2). Round t to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7158917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18000 and 810720.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 35*i**2 + 5*i**3 - 4*i**3 + i + 3 - 32*i**2. Let o be y(-3). Is -10\/21 < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 646801 and 1495313.\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18)\/(-4)*10\/15. Let w be 0\/(i + -5) + 0. Suppose -s = -d - w*d + 16, -60 = -4*d + 3*s. Solve y + 4 + 0 = -4*a, a + 3*y + d = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -3*c + 5*c, 0 = -2*q - 4*c - 30 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 24, -2\/7, 5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/20 and 73\/70.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/2824 and -20\/35653.\nAnswer: 285224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98957061?\nAnswer: 3, 7, 43, 36529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-237 + 238)*(2 - -611 - 2) and 130?\nAnswer: 6110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46472 is divided by 2746.\nAnswer: 2536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 1120*g**2 + 1032*g**2.\nAnswer: -88*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1131, -605, 841, 3669, 8341, 15319, 25065, 38041?\nAnswer: 54709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(2\/(-40))\/(32\/(-80))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (4985\/997)\/(35\/(-448))\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*k + 124*k = 90 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -9. Let u = l + 4. Let q = 8 - u. Calculate the least common multiple of q and 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 13*u - 67. What is y(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.862*-42.\nAnswer: -36.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1499, -2, 0 in decreasing order.\nAnswer: 1499, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13286\/(-22776))\/(2\/(-8)*1)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -119 + 109. Let n = 59 - 37. Let b = n + s. 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: Let n(h) be the second derivative of -h**3\/6 - h. Let z be n(-5). Suppose -4 = y - 1, -z*m + 5*y = -45. What is the remainder when m is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 - 12 = 3*o. Let y = o + 86. Suppose -4*p + y = -118. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_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: What is the smallest common multiple of 616 and 22?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4*o**3 - 5*o**2 - 5*o + 285. Let r(m) = -6*m**3 - 7*m**2 - 7*m + 428. Give -7*q(k) + 5*r(k).\nAnswer: -2*k**3 + 145","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 642\/13, 0.6, 0.4, -2 in decreasing order.\nAnswer: 642\/13, 0.6, 0.4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -2*j + 123. Suppose v - 2*v = -b - j, v - 64 = -2*b. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 3 + 2 = 0. Let j(a) = -a**3 + a**2. Let m be j(w). Which is bigger: -2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**3\/7 + 29830*b**2\/7 - 447848*b\/7 + 776360\/7 = 0.\nAnswer: -14930, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 161, 645, 1457, 2603, 4089, 5921, 8105?\nAnswer: 10647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35378 and 190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -604*u + 3625. Calculate h(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + k = 2*k - 1565, -3*w - 4*k + 1580 = 0. What is the hundreds digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*h = -31*h - a + 5, -4*a = -75*h - 20 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5775 + 190633\/33. What is the common denominator of f and -8\/75?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = m - 37, -w + 9 + 20 = -3*m. Let f(g) = g**2. Let c be f(2). Is w\/c*(-2 - -4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46 - -86. Suppose -24*d - 256 = -b*d. Let y(g) = 5*g - 4. Let u be y(4). Calculate the highest common factor of u and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l + 9*p - 4*p - 80, 0 = 3*l - 358*p + 354*p + 71 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from duudduuuuuudduuuduu.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + v + 6 + 17, 4*v = -5*a + 8. Suppose -513 = a*u - 1397. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a decade in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12 times -1102\nAnswer: -13224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 8:50 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 7*o - 5. Let w be n(-6). Let l = 16 + w. What is the greatest common divisor of l and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -184017 + 206467025\/1122. Find the common denominator of -121\/510 and o.\nAnswer: 5610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -u - 172. Let w = 215 + u. What is the greatest common divisor of w and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -4*m**4 - 80*m**3 + 6384*m**2 + 223488*m + 1907712 = 0?\nAnswer: -24, -18, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 0. Let x be (-23)\/(-7) + u\/(-7). Suppose -k + 10 - x = 0. Solve 8 = -3*y - k for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*u**2 + 12*u**4 + 11*u**2 + (-u**2 + 2*u**2 + u**2)*(0*u**2 - 3*u**2 - u**2) in the form m + q*u + v*u**2 + f*u**3 + h*u**4 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -101.9?\nAnswer: -101.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 5. Suppose 0 = n - 4*c - 3, 37 = 5*n - 3*c - 12. Suppose -n*i + 82 = 27. Solve f + k + i = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 216*l**2 + 5*l - 214*l**2 - 2*l - l - 8 as b*l**2 + z*l + m and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.19 - 180.19. Let q = p - -37. Let v = q - -148.7. What is v rounded to 0 dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 300 = -7*k. Let t be (-3)\/(1\/(10\/k)). Put 5, -1\/3, -3, t in descending order.\nAnswer: 5, -1\/3, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6880214?\nAnswer: 2, 11, 312737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (209 - (110 - 112)) + -111?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -16*y - 89. Let l be t(-5). Let c be ((-20)\/3 + 6)\/(3\/l). Calculate the greatest common divisor of 19 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99 divided by -41.\nAnswer: 99\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) -5\/9 (b) -600 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 213, 253, 319, 411?\nAnswer: 529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l + 48*l**2 - 2*l**3 - 57*l**2 - 92*l**5 - 91*l**2 wrt l.\nAnswer: -5520*l**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 576590 divided by 16474\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1538, 3050, 4562, 6074?\n\"Answer: 1512*j + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 14*s**2 + 12*s + 5. Let c(f) = -f**3 - 15*f**2 + 12*f + 5. Let u(n) = 3*c(n) - 4*d(n). Give u(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.1 - -0.1. Let o = -354 + -326. Let n = 678.8 + o. Is n greater than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 44508 - 44444 = 2*n for n.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (4 - (3 + 3)) + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 25\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*y + y. Suppose -h = -y + 4. Is (2 + 3 + h)\/1 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14203095.55 - -0.03.\nAnswer: -14203095.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8516.\nAnswer: 2, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**2 - u**2 + 1 + u**3 + 2*u**2. Let q(h) = h**3 - 2*h**2 + 2. Let o(w) = -w + 8. Let r be o(6). Let s = r + -3. Determine s*q(d) + 2*c(d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 579 - -190. Let d = l - 6932\/9. Calculate the common denominator of d and -61\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 957614.6ug in kilograms?\nAnswer: 0.0009576146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a kilometer in meters?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 79159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 280*y - 29. What is p(0)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 213164 to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 157 divided by -26325?\nAnswer: -157\/26325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -2*q + 21 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1\/16*12*(-4)\/(-6)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7336*f**3*z - 1195*f**3 + f + 3 wrt z?\nAnswer: 7336*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8\/39 - -6\/13. Let w = -628 + 631. Which is the second smallest value? (a) i (b) -4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 - 4*y - 2. Let i be a(-1). Let d be i*8\/20*5. Suppose d*g = 2*u - 0*u - 10, -4*g = 12. Solve -5*m = -u*m - 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 4:55 PM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 3) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -727*q**2. Let c(x) = 2*x. Determine d(c(u)).\nAnswer: -2908*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -q**5\/5 + q**4 + 2*q**3\/3 - 6*q**2 + 15*q - 1. Let g(x) = 0. What is x?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a century in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/3 + 12\/9. Suppose k - 10 = -2*l + u, 0 = 2*k + l - 9. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -49.8.\nAnswer: -9.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-3)*81\/18. Suppose -1081 = -i*y - 382. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*j**2 - 7*j**2 + 479*j - 6*j**2 + 456*j.\nAnswer: -22*j**2 + 935*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 2)*(5*k**2 + 2*k**2 - 4*k**2)*(74*k - 47*k**2 - 74*k).\nAnswer: 564*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3.3 (b) 0.84 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b4 + 15?\nAnswer: -9f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -21. Let s = 178\/15 - k. What is the third biggest value in -2\/3, s, 0?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + 0\/((-25)\/5) + 4. Calculate the highest common factor of 37 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12702, 12841, 12980?\nAnswer: 13119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((0 + -1)\/4)\/((-238)\/(-136)). Which is the second biggest value? (a) -0.3 (b) x (c) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.33 + 0.07. Let u = g - 0.4. Let k(j) = 224*j + 224. Let w be k(-1). Which is the closest to -0.1? (a) u (b) -6 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2*a - 222 = h, h = -2*a + 48. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 4*u + 19 = -d + 31, 0 = -d - 5*u + 29 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6133700 rounded to the nearest one hundred thousand?\nAnswer: 6100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10474747 + -3?\nAnswer: -10474752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.04 - 1. Let n = 0.27 - 0.01. Let j = f + n. Put 1, -5, j in decreasing order.\nAnswer: 1, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 18*d**2. Let q(h) = -23*h**2 + 6. Let c(y) = -23*y**2 + 7. Let v(p) = -6*c(p) + 7*q(p). Calculate a(v(m)).\nAnswer: 9522*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of j**6\/60 - j**5\/60 + 11*j**4\/24 - 9*j**3\/2 - 3*j**2 + 12. What is the hundreds digit of h(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -640\/9 + 316\/9*v + 2\/9*v**2 = 0 for v.\nAnswer: -160, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 5 + 3 = 3*g, 5*b = -4*g + 13 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 49030 to the nearest 1000.\nAnswer: 49000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/(-9))\/((-1)\/3). Let n(k) = 6*k - 1. Let o(v) = -v + 1. Let b(s) = -n(s) - 2*o(s). Determine b(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c**2 - 2210*c + 8760 = 0.\nAnswer: 4, 438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wqgqnkgkqdqggdq. What is prob of sequence dnd?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 80*j + 517. Calculate f(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9469.93 rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + o - 2*o = 0. Suppose 3*f + 3 - 12 = o. Factor 2*m**3 + 0*m**3 - 4*m**3 + f*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1116865169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a century in decades?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -70 + 120. Let p = -50.000073 + h. What is p rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 10:23 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 4993490 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63, -60, -43, 0, 81?\nAnswer: 212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 4. Let h = 8 - 2. Let f = n + h. Solve 0 = b - 4*b + f*q - 16, 2*q = 5*b + 24 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21210 (base 4) to base 6\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1199904, 1199902, 1199900, 1199898, 1199896?\n\"Answer: -2*q + 1199906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - n + 2. Let g be d(-2). Suppose p - 3 = g. Is 3*p - (2 - -1) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fufafffvybufufffyy. Give prob of picking 1 y and 1 f.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*h - 4*t = 114*h + 138061, 0 = -5*h - 3*t + 230092. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 905.449*-0.075.\nAnswer: -67.908675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-27)\/(-12))\/(-9)*4. What is the biggest value in 5, 1\/29, 0.3, t?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1864, 7434, 16722, 29728, 46452?\n\"Answer: 1859*f**2 - 7*f + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bybb when four letters picked without replacement from ybyybbbbbbbbyb?\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11566194 and 5?\nAnswer: 57830970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a day in minutes?\nAnswer: 3744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 993 + -350. Let z = 2402 - h. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l**2 + 1938210*l - 27133960 = 0. What is l?\nAnswer: 14, 387628","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n + 3. Let g(r) = r + 1. Let w(x) = 6*g(x) - 2*v(x). Let a(i) = 26*i**2. Determine w(a(s)).\nAnswer: 52*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50 - 50.2. What is the closest to 1 in 0.08, -3, k?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/9, 3, 4, -43?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -524 * -1258.\nAnswer: 659192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 2.98. Let s = y + -0.01. Let c = 337\/12 + -115\/4. Sort 0.1, s, c in descending order.\nAnswer: 0.1, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/((z*z*z**(-12)*z)\/z)))\/z**15 assuming z is positive.\nAnswer: z**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -193.4 - -193. Which is the closest to g? (a) -5 (b) 2\/13 (c) -0.05 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1665 + 3384 = 9*t. Suppose 5*z = -5*m - 196 + t, z + 5*m = 73. Is 15 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 20 + 60 = 0. Let r(x) = -152*x**2 + x - 8 + 10 + 153*x**2 + 4*x. Determine r(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 8*q. Let p(u) = -787368*u. What is d(p(x))?\nAnswer: -6298944*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -13201*a. Let o(l) = l**2. Give o(h(f)).\nAnswer: 174266401*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k, 1 z, and 1 i when four letters picked without replacement from {k: 3, z: 13, i: 4}?\nAnswer: 52\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 48981465 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8, -16, -48, -116, -232, -408, -656, -988?\n\"Answer: -2*p**3 + 6*p - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 x when two letters picked without replacement from {s: 2, x: 11}?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 162 and 27.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7746151 divided by -4.\nAnswer: 7746151\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/158 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38626 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**3 + o**2 - 2*o + 1. Let n be v(1). Suppose n*u - 5*u = 0. What is the second derivative of u*b - b - b + b**3 wrt b?\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -15, -16, -19, -24, -31?\n\"Answer: -m**2 + 2*m - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 22205260 to the nearest one hundred thousand.\nAnswer: 22200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 77765440 rounded to the nearest 100000?\nAnswer: 77800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 4)*(114 + 13*z - 74 - 31).\nAnswer: 26*z + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -7. Let i be (2\/(-3))\/((-14)\/(-6)). Let n = -16 + 63\/4. Put n, w, i in decreasing order.\nAnswer: w, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*f**2 + 128*f**2 - 47*f**2.\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b4f1 (base 16) to base 15\nAnswer: dad1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 greater than -0.02292?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*h - 5 = 4*p, 0 = 2*p - h + 5. Let b be (-56)\/4*(p - -1). Suppose 0 = -0*s - s + b. What is the greatest common factor of s and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 45757066 + -15?\nAnswer: 45757051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -e17c (base 15) to base 12\nAnswer: -23660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4*s = 8, 3 = -g + 2*s + 4. Suppose 4*a = -g - 1. Let d(y) = -13*y. What is the tens digit of d(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-198)\/5643 + (-2070)\/(-513).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(684)*-2 + sqrt(684))*6)**2 + -5.\nAnswer: 24619","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2997*h**2 - 877*h**2 + 1938*h**2.\nAnswer: 4058*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2782 + 2782. Let b = 6 - 5.6. What is the closest to -0.1 in b, -45\/7, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -82\/99 and -73\/44?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 5) in base 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26 + -38 + -15 - -90) + (16 - 1)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -12. Let k = 64 + -39. What is the highest common factor of w and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 10:03 AM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00072325 rounded to 5 dps?\nAnswer: 0.00072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jijjijij. What is prob of sequence jiij?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1d2691 + 0?\nAnswer: -1d2691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21928 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 8*m - 6*m, 2*y + m - 2 = 0. Suppose -3*s + 3*z = s - 5336, y = 5*s - 3*z - 6673. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2011122 (base 6) to base 14\nAnswer: 2680a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + -2 - (133 + 39 - 306).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + (-7 - (11 - -1)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 11*u**2 - 10*u. Let z be p(10). Let y be z + 1 + 3\/3. Put y, 0, -3 in descending order.\nAnswer: y, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 11*u**2 - 3. Suppose o = 3*g + 2, -3*o = g - o + 10. Let l be f(g). Suppose 5*w = -5*n + 75, 0 = 3*n - w + 3*w - l. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s + 200. Calculate a(-47).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3295642987.\nAnswer: 7, 13, 5437, 6661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 0*w + 0*w)*(7 + 1 - w - 1)*(-6*w + 124 + 116 - 236).\nAnswer: 6*w**3 - 46*w**2 + 28*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b - 6. Let u be v(-4). Suppose u*q = q + 2, 5*q - 26 = -4*o. Suppose n = -o*n + 20. Calculate the greatest common factor of n and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 33225747?\nAnswer: -1\/33225747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -2. Suppose -i*o + 0*w + 10 = -2*w, -3*o + 5 = -w. Sort 2, o, 5 in descending order.\nAnswer: 5, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 2*j, 0 = 4*b - 100*j + 19*j - 22*j + 368 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u. Let m be j(-2). Suppose -11 + 51 = m*h. Solve 0 = -0*f - 4*f + h for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1750433 (base 10) to base 3\nAnswer: 10021221010212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t**2 + 76*t + 259. What is the remainder when 484 is divided by b(-23)?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(0 + 10\/2)*40. Suppose 0*i + h*i = -360. Is i at least -25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = -3*q - 3*a, q + 31 = -3*a + 1. Calculate the least common multiple of 22 and (-70)\/q + (-2)\/6.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 4558, 4, 1 in ascending order.\nAnswer: 1, 4, 26, 4558","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68330 is divided by 34108?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -m**4\/12 + 7*m**3\/6 + m**2 - 15*m. Is 4 a factor of p(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -36*j**2 + 9*j - 9. Let x(o) = 18*o**2 - 4*o + 4. Let l(g) = 4*a(g) + 9*x(g). Let c(k) = 1 - 7*k + 3 - 3 - 1. Determine c(l(v)).\nAnswer: -126*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/75 + 14\/24.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5600 by 16.\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10207 or 9\/7?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1488 - 710b?\nAnswer: -8596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 smaller than -1580402?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*(-27)\/(-1575)*10*(-378)\/(252\/(-14))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1269\/77 - 116\/7. Suppose -4*n = 3*j - 125, 5*j + 1 = -24. Calculate the common denominator of n and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of f**4\/4 + 3*f**3 + 7*f**2\/2 - 7*f + 1. Suppose 0 = 5*w + n + 44, 2*w + n = -326 + 306. Determine a(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1248 - 1247. What is the closest to -0.2 in q, -0.2, -2\/37?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yzy when three letters picked without replacement from zyzyzz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2910 (base 11) to base 2\nAnswer: 111010110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kqqqqqqkqqqakqq. Give prob of sequence qkq.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 95303 - 169533. What is s rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.42 - 0.52. Let u = -49.5 + 50. Which is the nearest to l? (a) -2\/3 (b) u (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 26 = 3*v, -5 = -0*b + b. Let x(g) = -v + 0 + 2 - 4*g + 2. Let y(c) = -36*c - 28. What is 28*x(l) - 3*y(l)?\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 11\/687, 7, 0.3, -8, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + 46*f - 261. Let t be j(7). What is the third derivative of -4*u + 18*u**2 - 10*u**3 + t*u**2 + 16*u**2 - 4*u**3 - 4*u**3 wrt u?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-11))**(-9)*(t*(t**(-1\/5)*t)\/t)**16 assuming t is positive.\nAnswer: t**(559\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 1622*m + 26. Give g(0).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.12, 21, 2, 0.2?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - 68*q - 220. Does 32 divide r(-56)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 8512183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4180846 and -6833667.\nAnswer: -11014513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u**4 + 16*u**3 + 58*u**2 + 24*u - 99 = 0. Calculate u.\nAnswer: -11, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 4:35 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/18 and -27\/1138.\nAnswer: 10242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 397*u**3 + 8 - 197*u**3 - 199*u**3 + 3*u - 3*u - 4*u - 4*u**2 in the form d*u**3 + v*u + q + f*u**2 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 24607794 to the power of 1\/2, to the nearest integer?\nAnswer: 4961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5298520829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 337, 1364, 3071, 5446, 8477?\nAnswer: 12152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/7 or 20086?\nAnswer: 20086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 60684959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -i + 1, 2*r + 4*i = 6. Suppose -2*q + 10 = -2*a, -r*a = -0*a - 2*q + 16. Let f(l) = l**3 + 4*l**2 - 6*l - 7. Let c be f(-5). Is a equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 19*j**2 - 8*j - 29. Let q be a(-19). Let n(l) = -q*l + 29*l + 31*l + 43*l. Let u(d) = -6*d. What is u(n(r))?\nAnswer: 120*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 5:06 PM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 5:00 PM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = o - 11, 0 = 5*o - 8 + 28. Suppose 6*x = y*x + 4. Suppose 0 = 3*u + 1 - x. Solve 3*j = 2*j + u for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-23)\/(1265\/(-363)) - 28\/4. Put 0, -0.3, -2, 4, x in decreasing order.\nAnswer: 4, 0, -0.3, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + r. Let x(o) = 26 + 2*o**3 + 14 - 10*o - 40. Calculate 10*p(v) + x(v).\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6937086 and 3250.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -818 + 823. Solve -10 = -t + 5*v - v, d*v = -5*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/510*(2 + 2).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 323.\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 150560, 301579, 452598, 603617, 754636?\nAnswer: 905655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6*6594128\nAnswer: 39564768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -51202\/59 or -869?\nAnswer: -51202\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 3\/4, -0.06, 0.39, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 9*j. Determine b(-3).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3 = h, -4*h + h - 7 = -l. Let n(d) = d**3 - 12*d**2 + 4. Let k be n(12). Solve -a = 2*i - 1, -i - k + l = -3*a for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 + -0.3. Let l = -1\/5 - -2\/5. Suppose -1108*v = -1112*v. Which is the closest to 2\/5? (a) v (b) l (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*l - 1006 + 2686 = 0 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/3 (b) 5 (c) -10 (d) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -0.11.\nAnswer: -0.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -82.3 * 1183\nAnswer: -97360.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1682519376?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dc when two letters picked without replacement from {q: 2, d: 1, c: 1, l: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-15 + 2 + 23)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 472*x**3 - 866*x**3 + 21 + 2*x**2 + 412*x**3 + (3 - 1 + 0)*(-4*x**3 + 2*x**3 + 3*x**3) + 3*x**3 - 4*x**3 + 3*x**3 + 4*x**3 + x**3 - 6*x**3.\nAnswer: 21*x**3 + 2*x**2 + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*a - 719 = -534. Solve -5*y - 3*h = -2*h - 12, h + 8 = a*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 (base 12) to base 7\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of j**4\/6 - 18*j. Let l(u) = 27*u**2. Calculate l(v(k)).\nAnswer: 108*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 30118095 a multiple of 519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68, 258, 574, 1016, 1584, 2278, 3098?\nAnswer: 4044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -283*t**2 + 499*t + 11. Give p(2).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of l**4\/12 + 3588*l. Let n(d) = 3996*d**2 - 297*d. Let u(q) = -27*q**2 + 2*q. Let x(j) = 2*n(j) + 297*u(j). Determine x(b(m)).\nAnswer: -27*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2007*u - 2007*u + 12 = y, u - 3*y = -32 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -326*i**2 + 651*i**2 + 179*i - 326*i**2 to the form x*i**2 + h*i + g and give h.\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 206197, 414015, 621831, 829645, 1037457, 1245267?\nAnswer: 1453075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1643\/318*24\/(-80)*5\nAnswer: -31\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 3*u = 18, -58 = -2*u - 48 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 - 14. Let l be ((-12)\/(-15))\/(4\/50). Suppose 3*f + l = 43. Calculate the remainder when f is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12370176 divided by -3717\nAnswer: 3328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 18095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 + -26. Let p(h) = 4*h**3 + h**2 - 1. Let t(w) = -w**3 + w**2. Let v(j) = -p(j) - 2*t(j). Calculate v(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/5)\/(((-25)\/10)\/(-5))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.42047ns in milliseconds?\nAnswer: 0.00007642047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 7*u**2 - u - 9. Let c be y(-7). Let i = 250.1 - 250. What is the nearest to i in -0.1, -10, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -351*w - 3508. Let f be b(-10). What is v in -7\/2 - 3\/2*v**f - 5*v = 0?\nAnswer: -7\/3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*-1 + (-56)\/(-1). Let k = -2284 - -2295. Calculate the highest common factor of n and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 6:32 AM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40506179 divided by -1.\nAnswer: 40506179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 64, -3, 1\/6, 43 in decreasing order.\nAnswer: 64, 43, 3\/4, 1\/6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1.452 * -4\nAnswer: -5.808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 997000 rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2*h = 6, 0*h + 2*h = 2*w. Let l be w\/(-3 + 111\/36). What is the units digit of -3 + l*(-1)\/1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 - 26*k + 2. Let l be g(-15). Suppose l = -0*i + 5*i + 4*h, -4*i = -3*h - 115. Is i a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1513*z - 12*z**2 - 1513*z + 215*z**2 in the form i*z + d + x*z**2 and give x.\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 681 + -679. Solve c - 2 = -o*q + 4, 0 = -2*c - 2*q + 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, c: 1, u: 1, y: 3, h: 3, t: 2}. What is prob of picking 1 y, 1 h, and 1 u?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 88913265.0056 - 88857154. Let y = t + -56150. Let s = -39 - y. Round s to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 37228 and 1216.231.\nAnswer: 38444.231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**3 - 94227252 + 94227252.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 209097808?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7010 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 875 = -208*s - 997 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/90)\/(106\/530)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -218a + -2610?\nAnswer: -479a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*m + 409 = -20*m + 2299 for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = 4*s - 3*s + 3, -643*s + 640*s = y + 53 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 4*g + 35. Give w(-18).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/17 (b) 12 (c) 1 (d) -1455\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2503 (base 8) to base 2\nAnswer: 10101000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143*j - 30 = -145*j. Factor 29 - 12*p + j*p**4 - 71 + 75*p**2 + 72*p**2 + 6 - 114*p**3.\nAnswer: 3*(p - 6)*(p - 1)**2*(5*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38 - 2*f**2 - 3*f**2 + 2404*f**3 + f**4 - 2399*f**3 + 6*f**2 wrt f?\nAnswer: 24*f + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129060343 to the power of 1\/2, to the nearest integer?\nAnswer: 11360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 880 and 1144?\nAnswer: 11440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -11. Let z be 3 - q - 3 - -1. Let b(r) = r**3 - 4*r**2 + 2*r - 6. Let f be b(4). Solve -f*h + 10 = -z*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**4\/23 + 4314232*j**3\/23 - 3102098186892*j**2\/23 + 743507791333211512*j\/23 + 743510893435712638\/23.\nAnswer: -2*(j - 719039)**3*(j + 1)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111867 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*x = -708, -5*c = 2*x - 1358 - 403. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nbpuuunupp. What is prob of sequence pp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*a + 12. Suppose -2*f + 600 = a*y - 1434, -5*f = -15. Let d = y + -64. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -134775.45+-185\nAnswer: -134960.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 786.53 - 790. Let z = q - -4.47. Let f = 9.7 - 1.7. Is z at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 71\/59557?\nAnswer: 71\/59557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/12*-12*(-12)\/68688*-36.\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 168, 161, 152, 141, 128, 113?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 - (1 - (10 + -9 + 6 - -13 - 7)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k. Let z(r) = -86*r**2. Calculate n(z(b)).\nAnswer: -344*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 14*s + 18. Give b(10).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4113948155?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -7 * -54415041\nAnswer: 380905287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -48*g + 44*g. Let v(p) = 38*p - 7. Let f(j) = 8*j - 7 + 2 + 17*j. Let y(n) = g*f(n) + 5*v(n). Let b(r) = -r**2. Calculate b(y(c)).\nAnswer: -225*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2335*y + 4620 = -2385 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.96 rounded to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -13664, -26829, -39492, -51653, -63312, -74469?\n\"Answer: 251*w**2 - 13918*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1724273841, 1724273842, 1724273843?\n\"Answer: c + 1724273840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away 0.7545949409099?\nAnswer: -0.3545949409099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13 and 7.20426.\nAnswer: -93.65538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from csceccsscaesccsc. Give prob of picking 1 c, 1 s, and 1 a.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.8 + -8. Let z = v + 5.2. Let d = 9 - z. Which is the second biggest value? (a) d (b) 2\/11 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 11*s - 2 + s - 3*s. Is 10 a factor of g(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -226.56398 rounded to the nearest integer?\nAnswer: -227","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**3\/4 - 5631*u**2\/2 - 20899893*u\/4 - 5222157 = 0. What is u?\nAnswer: -1361, -1, 5116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**5\/5 + 1452*o**4\/5 - 876*o**3 + 4388*o**2\/5 - 1464*o\/5.\nAnswer: 4*o*(o - 1)**3*(o + 366)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7913, 7909, 7905, 7901, 7897, 7893?\nAnswer: 7889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 1 - 3. Let m = n - -4. Suppose m*d = -3*x + 30, 4*d = -2*x + 3*d + 23. Is 12 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334 is divided by 1*(1 - (5 + -3)) + 54?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 + 5 = 5*w. Let y be ((-4)\/14 + (-2)\/(-28))\/(275\/550). Sort -0.5, w, y, 1\/4 in ascending order.\nAnswer: w, -0.5, y, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3255358 < 3255051?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 661 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 12 = 0, 4*b + 572 = -0*y + 5*y. Suppose 6*v + y = 4*v. What is the tens digit of 2\/((36\/v)\/(-9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 172170326?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of 2*t**3\/3 + 5*t**2 + 12*t + 37. Factor i(y).\nAnswer: 2*(y + 2)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1698 in -3\/4, 2, 1.2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*l**3 + 7760*l**2 + 429015*l - 123210.\nAnswer: 5*(l + 111)**2*(7*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 512780935?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 7*r**3 + 8*r**2 - 13*r + 8. What is y(2)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 879.04 + 0.15676.\nAnswer: 879.19676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/((10\/5)\/(-2))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3162 - -4773?\nAnswer: 10155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 63 - 19 = 0. What is the remainder when 64 is divided by x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 9, j: 3, g: 4, i: 4}. Give prob of picking 2 i, 1 g, and 1 e.\nAnswer: 72\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 3*o + 51 = 0, 5*n - 4*o + 9*o - 135 = 0. Is n a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1087, 2175, 3263, 4351?\n\"Answer: 1088*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, i: 4, z: 7, h: 5, g: 1, x: 1}. Give prob of sequence hhh.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16)\/6*(-12 - -3). Let x(m) = 2*m**2 + 2*m - 1. Let w be x(-4). Find the third derivative of v*t**6 - 3*t**2 - w*t**6 - t**2 wrt t.\nAnswer: 120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3263, -3219, -3151, -3065, -2967, -2863, -2759?\n\"Answer: -j**3 + 18*j**2 - 3*j - 3277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 57, -7, -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28329 and 11263?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10960455 and 56151.\nAnswer: 558983205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g - 1. Let o = 7 + -11. Let p be k(o). Suppose -p = -4*y + 5. What is the highest common divisor of y and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32536 divided by -4?\nAnswer: 8134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4577 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 7*n**2 + n - 2. Let f be k(7). Suppose -f*p = 3*j - 451, 0 = -3*j + 4*j - 4*p - 122. Suppose 3*u - u = j. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.5 - 4. Let r = w + 0.7. Which is bigger: r or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3583 + 3582.999997129. What is q rounded to seven decimal places?\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 times 33?\nAnswer: -561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 1232*l**2 + 460*l - 3260. Is 65 a factor of q(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 4*a - 49, -54 = 5*a + 3*i - 124. Let w be (-1594)\/34 - (-28)\/(-238). Let u = -2 - w. Calculate the least common multiple of a and u.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 156, 120, 84, 48, 12?\n\"Answer: -36*b + 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 - 15. Let c = -364 + 360.29. Let m = i + c. Round m to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28105.9999938052 - 28106. What is k rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1503 is divided by 360?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12450?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttyytwwtyywttyfywyty. Give prob of sequence fwwy.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 1 = 9, -4 = -4*w - 2*t. Let o be (-1)\/2*(w + -1). Let l(m) = -5*m**3 + 2*m**2 + 2*m + 1. Calculate l(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -4*p - 7, -v + 15 = -10*p for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.045 - 2.655. Let k = -3 - m. Suppose -7*j + 5*j - 2*c + 12 = 0, 0 = j - 5*c + 6. Put j, -6, k in ascending order.\nAnswer: -6, k, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1251.219 and 23.991?\nAnswer: 1227.228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqnq. What is prob of sequence nq?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(75)*-2 - (sqrt(96)\/(sqrt(8) - sqrt(128)))\/sqrt(4))**2.\nAnswer: 22801\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241 is divided by 130?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/20)\/(192\/(-140)). Which is smaller: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**3\/7 - 37358*y**2\/7 - 299536*y - 4196640 = 0.\nAnswer: -28, 18735","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4320 and 12500?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 5*t**2 - 5*t + 46. Let s(o) = -3*o**2 + 2*o - 23. Let r(j) = -7*s(j) - 4*v(j). Let w be r(3). Which is the closest to 0.1? (a) 1\/3 (b) w (c) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 7.3. Let b = 51.3 - l. Let g = b + -52.000004. What is g rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -b + 24, 2*s + 6 = 3*b - 53. Suppose 4*k - 255 = -5*n, -4*n + 3*k + 148 = -87. Calculate the remainder when n is divided by b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(147) + sqrt(3) + -1 + sqrt(300))**2 + 0 + (1 + sqrt(3))*5 + -4*(sqrt(3) + 0) + 0.\nAnswer: -143*sqrt(3) + 993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.92052801 to 5 dps.\nAnswer: 0.92053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, -27 in ascending order.\nAnswer: -27, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-8)*10*1597\/22358\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 909 + -908.9515. Sort k, 0, 2\/7 in descending order.\nAnswer: 2\/7, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l - 33434 = 28462. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*p - 25 = 31*p. Let m(l) = 1505*l + 45. Let o be m(p). What is o rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3120073 (base 10) to base 8.\nAnswer: 13715711","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 234.8008 tonnes in micrograms?\nAnswer: 234800800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 15.5 * 41\nAnswer: 635.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 83, 122, 163, 206, 251?\nAnswer: 298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49823, -4, -213.\nAnswer: -213, -4, 49823","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-9)*3*(-9)\/8.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hmhhtiu. What is prob of sequence uu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 317488 divided by -4.\nAnswer: -79372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-20)*i*i)**32\/(i**(-39)\/(i*i**39)) assuming i is positive.\nAnswer: i**(-497)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 5. Suppose -3*a = -8*a. Solve a = -5*n - 4*d - y - 2, -5*d = n + 5 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119900 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1570 and 2041.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 16396591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iwkwlklswpklis. Give prob of sequence is.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {x: 5, p: 5, i: 1, n: 7, m: 1}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -5 + 120\/140*-21 - (-1 + -3)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 12*r**2 + 9*r - 10. Let y be x(14). Suppose -h - 3*f - 419 = 0, 0*f + 12 = 3*f. Let j = y - h. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -742 in -5, -6, -1\/7, 1\/5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/6))**27 assuming z is positive.\nAnswer: z**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 850\/243383 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 0.04152, 2, 1\/3, 8\/13, -1\/9?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*o - 6 = -8*o, 4*k - 4*o - 24 = 0. Suppose -3*w + k*w = 2. Let t(p) = p - 1. Let v be t(1). Does w = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 5*d. Let i be v(5). Suppose -5*c + 0 + 60 = i. Let t(n) = 2*n**2 - 19*n + 24. Let o be t(c). Calculate the highest common divisor of o and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 11:10 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -8*r + 3. Let g(p) = 8*p - 2. Let a(s) = -4*g(s) - 3*q(s). What is the tens digit of a(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 9:13 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, x: 1, g: 2, o: 1, f: 1, v: 2}. What is prob of picking 1 o, 1 f, 1 a, and 1 x?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1249 is divided by 496?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16450 less than -1828?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 28666847 and 28666849 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -41149 - 30?\nAnswer: -41179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 79163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 162417 - 325981. Let l = -310535 - p. Let z = 446971 + l. What is z rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of 23*c**2 - 1426. Let o(s) = 14*s**2. Calculate z(o(r)).\nAnswer: 644*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -175984, -352344, -529080, -706192, -883680, -1061544, -1239784?\nAnswer: -1418400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -3*s**5\/4 - 837*s**4\/4 + 3447*s**3\/4 + 14361*s**2\/4 - 5121*s - 7641 = 0.\nAnswer: -283, -3, -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 104 + -100. Suppose g - 2849 = h*t, g + 4*t = -g + 5662. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -0.3, 0.2, -7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/6 + 776\/1. Let s be ((-1)\/(-3))\/(6\/w). Let u = 62 - s. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 359.74 * 0.4.\nAnswer: 143.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of k**6\/60 - k**5\/60 - k**3\/6 + 15*k**2\/2 + 24*k. Let v(j) be the first derivative of d(j). Give v(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -136 - -79. What is the common denominator of -2 - (-1 - r\/(-39)) and -59\/2?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - 2615*l + 55442. Calculate u(21).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 y when two letters picked without replacement from kyyecee.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1235 divided by 35?\nAnswer: 247\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 87 and 435?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -3\/2, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0*m)\/m**(-4\/5)*m**(-1)*m*m*m*m\/m**(-2\/3) assuming m is positive.\nAnswer: m**(82\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -17*o + 18*o + 9, -7*f - 9*f + o - 11 = -17*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 73442, 293815, 661104, 1175309?\n\"Answer: 73458*h**2 - h - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + d = -125. Suppose d = -5*v, -2*j - 7*v + 2*v = 21. Let s be j - -3 - (1 + 0). Is s >= 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.836923 years in millennia?\nAnswer: 0.007836923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25273\/1167 + -4\/389. Calculate the common denominator of (-2)\/(-2) - 114\/(-16) and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (217\/186 - (-2 - -3))\/(-1 - 14\/(-15))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -193 + 193.008. Let q = -0.108 + p. What is the second biggest value in 87, 2\/15, q?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 + -13. Suppose 5*w - 5*t = -10, 5*w = -5*t - 3 + d. Suppose 455 = 5*i - w*i. List the prime factors of i.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 - -97. What are the prime factors of h?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2 - -4) + 0 - 2) + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -726.98 times -249\nAnswer: 181018.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/543 and 31.\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 3*x - 63, -q - 2*x + 1 = -1. Is q a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**3 + 40*i**2 + 41*i + 982. What is m(-20)?\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 412903665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1777, -3, -13 in decreasing order.\nAnswer: -3, -13, -1777","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 3)*120\/9. Let a = q + 67. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204199741 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -3*q**5\/8 - 103179*q**4\/8 - 103167*q**3\/8 + 309543*q**2\/8 + 257943*q\/4 + 25794 = 0.\nAnswer: -34392, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 4 (b) -1\/3 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + 12. Suppose z - 4*f + 16 = 0, -f + 3 = -3*z - m. Solve 2*v + 6*p - p = 2, v - p + 6 = z for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o - 30*h + 202, 26*o - 19*o + 5*h = 7*o + 35 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 395102?\nAnswer: 2, 197551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1505, 2948, 4411, 5888, 7373, 8860, 10343?\nAnswer: 11816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 16*b + 2\/3*b**3 + 0 - b**2. Calculate c(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.88 - -13.12. Which is the nearest to 1\/3? (a) g (b) 0.2 (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 535 + -369. Suppose 0 = 2*i - 5*w + 198, i = -i - 3*w - l. What is i rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -13*f + 32. Give y(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 5*q**2 + 6*q. Let u(n) = 11*n**2 + 13*n. Let v(y) = -6*u(y) + 13*w(y). Let o = 13 - 9. Let t(s) = s + s - o*s. Give v(t(k)).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dm when two letters picked without replacement from {d: 3, m: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y - 4. Let n be x(-2). What is the third derivative of 2*i**5 - 8*i**5 - 3*i**n + 7*i**2 + 112 - 110 wrt i?\nAnswer: -360*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16838?\nAnswer: 2, 8419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1570 a factor of 34846150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1619.6 rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -175*r**4 + 58 + 16*r**4 - 111*r**4 + 22 with respect to r.\nAnswer: -1080*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32*8\/(-240))\/(((-800)\/60)\/20)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -24*z + 1. Let t be b(-1). Suppose 2*h - 9 = -2*k + h, -14 = -2*k + 4*h. What is the greatest common divisor of k and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 76946154386.19940082 - 76946086537.7. Let l = -67798.4994 + o. Let v = l - 50. What is v rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -68 - -72. Let a(g) = 25*g + 52. List the prime factors of a(f).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g - 2*g + 2*g)*(1 + g - 1)*(5 + 0 - 2 + (-1 + 2 - 3)*(-3 + 4 + 1) - 3 + 3 - 9) to m*g + l*g**2 + j and give l.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000124721 to 5 decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 - -12. Let a(g) = -2*g + 2. Let v be a(2). Let i be (-104)\/q + v\/(-9). Solve -2*y = y - i for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2414 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two thirds of a hour in seconds?\nAnswer: 62400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 2586208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3262 and 9674?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + 30*h + 35. What is the remainder when o(29) is divided by 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 10:11 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v + 6*v + 29*v.\nAnswer: 27*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (21\/28)\/(6\/32). Suppose 5*u + 1403 = 4*g, q*g - u - 1376 = -5*u. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-2) + (-1329)\/(-3) + 1. Find the third derivative of h*l**3 + 7*l**2 - 227*l**3 - 234*l**3 wrt l.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {n: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/20714874 and 20\/69513?\nAnswer: 20714874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-42)\/(-8))\/((-11)\/((-528)\/(-9))). Calculate the lowest common multiple of 4 and (-68)\/((6 + 1)*8\/b).\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 9*j - 315 = 0. Let l = -41 + j. Solve 2*u + 8 = -w + 1, -4*w + l = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -15*z**2 + 17*z + 42. Let v(r) = 4*r**2 - 4*r - 11. Let u(l) = 3*i(l) + 11*v(l). Let x(k) = k**2 - 6*k - 4. What is 6*u(a) + 7*x(a)?\nAnswer: a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3*sqrt(486))\/sqrt(2).\nAnswer: -27*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 2 + -2 + (-3 - 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 n when two letters picked without replacement from dngydyyyydygdg.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7661*s + 141 = 7708*s. Sort s, -1707, -3 in decreasing order.\nAnswer: s, -3, -1707","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + 1. Suppose b*p = -3*m + 110, 2*p + 3*p = 2*m + 135. Solve -2 = -2*q - 2*t - 0, 5*t = q - p for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -241*a**2 - 8*a. Let i(c) = -6*c**2 + c. What is -6*i(d) - p(d)?\nAnswer: 277*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 142483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2722266.9992 + 2736777. Let t = 14613 - c. Let j = 103 - t. What is j rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23.36973 times 2\nAnswer: -46.73946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 1\/7 (b) -0.5 (c) 61\/3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6\/13 + -4\/65. Let y = 289.8325 + 0.2675. Let u = y + -290. Which is bigger: z or u?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5078*f + 5081*f - 3*x - 39 = 0, 38 = 3*f - 2*x for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -135*368\nAnswer: -49680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9077, 9074, 9069, 9062, 9053, 9042, 9029?\n\"Answer: -j**2 + 9078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2053*s + 2825*s - 2214*s in the form x + c*s and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 798 and (18\/5)\/(93\/155)?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (135\/10 - 1)\/((-995)\/398)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3167 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -53227713, -106455429, -159683145, -212910861?\n\"Answer: -53227716*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18658774?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + i + 1. Suppose -3*f = -16 + 1. Let y(q) = 6*q**2 + 2*q - 4. Let d(v) = f*o(v) + y(v). Give d(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31720049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -41*b + 48. Let c(p) = p**2 - p - 1. Let d(j) = 2*c(j) - r(j). What is the hundreds digit of d(-24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 6 = -0. Let s(z) = 2*z - 3. Let d be s(p). What is the second derivative of 0*t - 5*t + d*t**2 - 3*t + 10*t wrt t?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 24 - 5 - -4) + 34\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/173 (b) -0.094 (c) 2 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3 - 4023*h**2 + 8055*h - 4029.\nAnswer: -3*(h - 1)**2*(h + 1343)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/14 + 452\/(-14). Let l = z - -62. Suppose -f + n = 4*f - l, -f - n = 0. Is f a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1756 - -1645. Are i and -92 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -1. Suppose q + 280 = 3*y - 0*y, -4*y - 3*q + 356 = x. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 30018\/1301 or 23?\nAnswer: 30018\/1301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -7508343?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1071870?\nAnswer: 2, 3, 5, 35729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 6*i**2 - 3*i - 22. What is n(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/135? (a) -2\/11 (b) -2\/2861 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4507 + 9406. Find the common denominator of -101\/160 and (-2)\/18*z\/138.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -1 - (-3 + -1 + 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(4\/(-10)) + -2. Suppose 3*d + 10494 = -x*d. Does 9 divide 1\/(-6) + d\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10\/(-20))\/((-2)\/8). Suppose r + x - 5 = 0, 0 = -v*x - 3*x + 15. Calculate the least common multiple of 10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f + 5*f - 4*f - 20903*f**2 + 20835*f**2.\nAnswer: -68*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 470*t - 981*t + 511*t - 88*t**2.\nAnswer: -88*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiyyiiiiiiiii. Give prob of picking 1 y and 2 i.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 - 2)*(-x + x - 2*x**2) - 692*x + 692*x + 858*x**2 to the form t + u*x + g*x**2 and give g.\nAnswer: 860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 54 + -35. Let d = l - 20.5. Let i = d - -1. What is the closest to 0 in -0.2, i, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 377 - 325.2. Let n = 52 - p. Which is greater: 3\/10 or n?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/9)*k)\/(k\/(k**6\/k)*k*k*k)*k**(-1\/16)*k*k*k\/(((k**(-3)*k)\/k)\/k))**27 assuming k is positive.\nAnswer: k**(3765\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 0*x - x + (4*x - x - x)*(2 + 3 - 3))*(0*x - 2*x + 3*x)*(x**3 - x**3 + 2*x**3 + (18*x**2 + 2794*x - 2794*x)*(-2 + 2 + x)).\nAnswer: 60*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a year in months?\nAnswer: 306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1512 and 62762?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o + 1. Let a(i) = 11*i + 25. What is a(t) + 4*d(t)?\nAnswer: 3*t + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of -313*a**5\/12 + 215*a**2. Let u(k) = 2*k. Determine y(u(c)).\nAnswer: -6260*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 12:12 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 2*f + 1. Let j be y(-2). Let z = j + -5. Suppose -h + 28 = -4*t, z*h + 9 = -4*t + 61. What is the highest common factor of h and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 26*w**2 - 88*w - 671. Give b(-8).\nAnswer: 1697","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1932664239?\nAnswer: 3, 11, 53, 59, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 10*p - 11. Suppose h + 11 = -0*h. Let l be j(h). Suppose l*m = -5*m. Solve m*q + 5 = -q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2037*b**2*l**2 - 2*b**2 - 70*l**3 - 74329 wrt l.\nAnswer: 4074*b**2*l - 210*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2. Suppose -4*n + 0*h + 2*h + 20 = 0, 0 = -5*n - 3*h + 3. Let y(i) = n - 3 + 14*i + 14*i. What is y(k(p))?\nAnswer: 28*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4*(sqrt(143) - (sqrt(143) + (sqrt(143)*-2*-2 + sqrt(143) - sqrt(143)) + sqrt(143)) - sqrt(143)))\/(sqrt(22)\/(sqrt(98)*1)).\nAnswer: -672*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -802117\/2933 + 680\/419. Let u = p + 273. Factor 8\/7 + u*r + 2\/7*r**2.\nAnswer: 2*(r + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -12. Let w = -868 + 888. Solve s + w = d*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, 0.06, -18\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*t + 1 - 3 - 32993*t**2 + 32852*t**2 as x*t**2 + w*t + a and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18911, -37822, -56733, -75644?\nAnswer: -94555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 159*i*w**3 + 4*i*w**2*y + 2*i*w - 13*w**3*y**3 + w**3*y wrt y?\nAnswer: 4*i*w**2 - 39*w**3*y**2 + w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21847820 and 640.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6582471 is divided by 1316492?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 37 = -t + 4*t, -3*t = 3*q - 3. What is the closest to -1\/2 in -0.4, -4\/5, t?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*((-10)\/(-15) + -1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 557 - 367 = -61*n + 556 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y**3 - 10*y**2 - 8*y + 4. Let h(g) = -g**3 + 2*g - 1. Give a(i) + 4*h(i).\nAnswer: -i**3 - 10*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.140309 centimeters to nanometers.\nAnswer: 51403090","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 + -27. Let f be 188\/(-120) - (-20)\/12. Which is the second biggest value? (a) f (b) 0.06 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-200)\/(-800)*(-3)\/(6\/8). What is the nearest to 0 in -3, d, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2917 + 15127\/5. Let r = k + -109. Let x = 1 + -0.2. Put -5, r, x in descending order.\nAnswer: x, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -372 - -388. Is (w\/7 - 2) + (-161136)\/(-112) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -141641*d + 45. Let n be c(-3). Is (4\/6)\/(((-128)\/n)\/(-8)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28252*h = 28231*h - 105. What is the fourth biggest value in -0.1, h, 4, 0.56?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 2 = -2*c, -2*c + 76*v = c + 84*v + 43 + 9 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/x**3*(x**(-1)\/x)\/x)\/(x\/x**(5\/4)*(x*x**0\/x)\/x)*(x*x**(-4\/9)*x**4)\/(x**(-3)\/x**6) assuming x is positive.\nAnswer: x**(389\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -4*g + 4. Suppose g = 3*j - 2*j. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that u**3 - 10635*u**2 + 592424*u = 0.\nAnswer: 0, 56, 10579","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134124534 is divided by 1071.\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -11. Let i = w - 6. What is the nearest to i in -1\/3, -0.2, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 5408.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*p - 0*p. Suppose p*j - 5*l + 19 = 6*j, 2*l = 6. Solve 0 = 7*i - j*i - 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 22 = 8. Suppose 0 = 116*z - 118*z + 18. Let j = p - z. Solve -4*y - 1 = -j for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-7510)\/(-224)*(-10)\/50 + 6 and 55\/4.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 1170 = -12*v. Suppose -89 = m - v. Calculate the remainder when m is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 815447452?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.883 + 0.81. Let i = z - -4.873. Let m = -4.799952 + i. What is m rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 16*a**2 + a. Suppose 9 = -3*p - 2*c, -3*p + 2*c = -4 + 1. Let m be z(p). Let r(d) = d + m - 15. Let l(h) = -8*h**2. Give l(r(j)).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17648966?\nAnswer: 2, 601, 14683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11487 + 25261. Suppose k + 6544 = 4*o - 5*i, -2*o + 3*i = -10160. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -428, -1181, -2434, -4187?\n\"Answer: -250*m**2 - 3*m - 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d + 54. Determine p(-20).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 200224 to the power of 1\/2, to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -223*s**5\/60 + 1421*s**2. Let x(v) = -v. Calculate u(x(j)).\nAnswer: -223*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*((-50)\/(-8) + (2 - 7)) - -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i = -10 - 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-408)\/((-408)\/12)*(-8)\/(-3)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -84 - 54. Let q = -42 - a. Solve -q*f - 3 = -f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w + 1. Let u be d(-3). Suppose -5*t + 3*s + 384 + 102 = 0, 0 = -u*t - 5*s + 374. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -12\/43 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -86493754*k**2*w + 101265657*k**2 with respect to w.\nAnswer: -86493754*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-45)\/30*(-1 - (-10)\/12). Factor -3*k - u*k**3 + 3\/2*k**2 + 2.\nAnswer: -(k - 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.5 - 2.4. Suppose -4*w = -5*z - 22, -w + 11 = 3*z - 7*z. Let x be ((-1)\/w)\/((-6)\/(-4)). What is the nearest to x in -0.4, o, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 8, p: 2}. Give prob of sequence psp.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 5. Let v(z) = 3*z**2 + 18. Let r(c) = 5*v(c) - 18*x(c). Let f(i) = 3*i**2. Give f(r(b)).\nAnswer: 27*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3*q + 3)*(-33 - 7104*q + 7107*q - 4).\nAnswer: 9*q**2 - 111*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 + (-5)\/(15\/9). What is the second derivative of 0*u + 3*u**k + 6*u**2 - 5*u**2 + 5*u wrt u?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 416634?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**3 + n**3 + 3*n**3 - 6*n**3 + 2*n**3 + n**3 + (-2*n + 4*n - n)*(-n**2 + 2*n - 2*n).\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiggggigigigg. Give prob of picking 1 i and 1 g.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v**2 + 20*v + 81. Let u(l) = -13*l**2 - 81*l - 324. Let t(s) = -18*c(s) - 4*u(s). Factor t(q).\nAnswer: -2*(q + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 + 13 + 35 - -49.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.3, -5, -706, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 107 + -40. Let o = -69 + i. Calculate the common denominator of -14\/19 and (o\/(-24))\/((-4)\/(-246)).\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 27*v - 76. Is s(39) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/21*1)\/(7\/(-98)). Solve s*i + 3 = 3*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x = 8*x + 6. Solve -2*p = x*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31456 divided by 265\nAnswer: 31456\/265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 81475 - 81479. Let k be 2*10\/(-4)*1. Which is the closest to s? (a) k (b) -4 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308*t + 303*t = -5*f - 5, 5*t - 2*f = 11 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1619450 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/6 in -4, -1\/7, -1\/160?\nAnswer: -1\/160","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -24*d + 110. Let a be q(-3). Calculate the highest common divisor of 140 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7266 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -73 - -60. Suppose 45 = 5*q + a, -3*q - 3*a - 2 = -41. Let n = s + q. Sort 7, 1, n in increasing order.\nAnswer: n, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -94 + 4d?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164794 is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -14549 + 0.01\nAnswer: -14548.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 225 = 35. Find the third derivative of v*b**4 - 26*b**2 - 2*b - 191*b**4 - 2 + 2*b + 13*b**5 wrt b.\nAnswer: 780*b**2 - 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 17, 1, 418, -3, -5, 4702 in decreasing order.\nAnswer: 4702, 418, 17, 3, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -17 (b) 3 (c) 0 (d) -167\/150\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 109 divided by 1504\nAnswer: 109\/1504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -4*y - 3*s, 0*s = -4*y - 4*s for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2182, -4223, -6264?\nAnswer: -8305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/7 + 19896*m**2\/7 - 9098136*m\/7.\nAnswer: 2*m*(m - 438)*(m + 10386)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 9 = 2*d, 3*d + f - 23 = -7. Solve 0*i - 5*i = -2*k, -d*i = 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 381*g + 130674 - 139818 = 0 for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*b = -3 + 6, -y - 4*b + 14 = 0. Let s = 12 - 8. Let h(i) = -3*i - s*i - 7*i**2 + 1 - 4 - i**3. Determine h(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from veqovrvvqvqqvvve. Give prob of picking 1 q, 1 r, and 2 e.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1954 - -273. Let m = s - -1677.852. Let u = -3.2 - m. Round u to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -68372*d**4 + 492082*d wrt d?\nAnswer: -820464*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -283, -306, -347, -406, -483, -578, -691?\nAnswer: -822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -53197*h**4 + 4*h**3 + 2*h**2 + 21148046*h wrt h.\nAnswer: -638364*h**2 + 24*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 525.0587 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 v when two letters picked without replacement from vvvkrrrrr?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 5:25 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-131 + 131 + 22*a**3)*(0*a + a - 2*a) + (3*a + 2*a - 2*a)*(0 + 0 + a**3) + 0*a**4 - a**4 + 3*a**4 + 2 + 2*a**4 - 2.\nAnswer: -15*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/8)\/((-9)\/708). Suppose -235*h + 139 = -236*h + 4*j, 5*h = 5*j - 620. Is t != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 37, -0.34, 5?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10153 + -182815\/18. Find the common denominator of -91\/412 and f.\nAnswer: 3708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -13*j**2 + 2*j + 11. Let q(r) = -r**2 - r + 1. Give 22*q(o) - 2*u(o).\nAnswer: 4*o**2 - 26*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1005 - 1002. Let k = 3 + -2. Which is the closest to k? (a) -0.3 (b) -0.2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w - 2. Let d be v(6). Suppose t - d = 2. Suppose 21 - 9 = g + 4*p, -3*g + t = -3*p. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 divided by -31.\nAnswer: 19\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + 1 - (0 + -3). Suppose -2*i = m - 2233, c*i + m = 2*m + 4469. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8562 by 2.\nAnswer: 4281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2142 - -4243?\nAnswer: 2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -0.5, -89\/45?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -n**3\/3 + n + 8. Let c(b) = 6*b**2 - 32*b + 22. Let o(y) = c(y) - 6*r(y). Find w, given that o(w) = 0.\nAnswer: 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -0.4391426411\nAnswer: 6.5608573589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -4) + -10 - -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/3)\/f**(-4)*(f**(1\/4)*f*f*f)**31)\/((((f\/(f*f*f**(-4))*f)\/f)\/f)\/((f\/f**(-2))\/f)*(f*f\/(f**8\/f))\/f*(f**(2\/13)\/f)\/f) assuming f is positive.\nAnswer: f**(17617\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + (sqrt(720) - (sqrt(720)*1 - sqrt(720)))**2)*2 + -1 + -3*sqrt(180) + 2.\nAnswer: -14*sqrt(5) + 1441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*b + 50*b = -195. Suppose 13*q - 9*q = 28. Suppose -4*g = -q*g + 78. Calculate the greatest common factor of g and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 9:08 PM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11430748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 10668\/588 + 140\/((-14)\/2)\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3534213 divided by -27397?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/151721 - 6219917\/97708324. Find the common denominator of -111\/4048 and r.\nAnswer: 28336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 0. Let t = 5\/8341 - -28061\/58387. Let p = -1\/19 + t. Which is bigger: p or s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 + 52. Does 7 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, m: 11, v: 4, i: 2}. What is prob of picking 1 n and 1 i?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-890*i**2 + 55*i - 447*i**2 - 55*i - 2059*i**2)*(0 + 5 + 9) to the form f*i**2 + n*i + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**3 - 2*x**2. Let y be c(-2). Suppose -10*t + 24 = -y*t. Solve 2*l = -l + t for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 300948003*z**3 + 16631997*z wrt z.\nAnswer: 1805688018*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 0.3 (c) 4 (d) 98 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 60 = q, 5*c + 4*q + 282 = 8*q. Let x = 35 + c. Let g = x - -26. Is g a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**3 - 10*o**2 - 13*o + 16. Give s(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 * -43\nAnswer: -1.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000176809968 rounded to 6 decimal places?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**5 + 552*m**4 - 7728*m**3 - 8826*m**2 + 7725*m + 8274 = 0. Calculate m.\nAnswer: -197, -1, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.7*-2189.59\nAnswer: -1532.713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 25036214783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 217*x**2 + 31*x + 160. What is the units digit of g(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 5*c**2 - 3675*c - 6709. Let k(u) = -14*u**2 + 11023*u + 20127. Let a(i) = -3*k(i) - 8*y(i). Find the first derivative of a(n) wrt n.\nAnswer: 4*n - 3669","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 7*w**2 + 7. Let t(b) = -b**3 + 6*b**2 + 6. Suppose 6*z - 7*z + 1 = 0. Suppose -8 + z = n. Give n*t(p) + 6*u(p).\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48842?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-11360)\/(-290) - (96\/(-4) - -63)\nAnswer: 5\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19 - 96 - 1)*(-2*b**2 + 2*b**2 - b**2 - 2*b**3) + (0*b + b + b)*(-2*b**2 + 0*b + 0*b) as d*b**3 + f*b + y*b**2 + u and give d.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) 4\/9 (c) 60 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(4)\/sqrt(2)*4)*-6.\nAnswer: -24*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.138 * -1543480.\nAnswer: 213000.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 986 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-200)\/(-6) + (-2)\/(-3) is divided by 5\/3*180\/25?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 259*2\/175*-45. Which is smaller: d or -133?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13115206 (base 7) in base 10?\nAnswer: 1197517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -5*i + 50 - 54, 4*i - 16 = 4*u for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-6)*(-10)\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 0*n = 20, 5*x + n = 60. Let q(m) = -m**3 + 11*m**2 + 2*m - 20. Let b be q(x). Solve -b*o - 2 = -p, -p + 4 - 2 = o for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of 0*m**5 + 0*m + 1\/210*m**7 + 0*m**6 - m**2 + 0 + 0*m**4 - 5\/6*m**3. Differentiate g(b) wrt b.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 4*n + 12, 5*l - 12 = -2*n - 2*n. Suppose -v = l - 8. Suppose 0 = -9*x + v*x + 10. Solve 0 = t - s - 1, s = x*t + 4*s - 17 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 3 = -o. Let c(q) be the second derivative of q**5\/20 - 7*q**4\/12 + 5*q**3\/6 + 3*q**2\/2 + q - 130. Is c(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z + 1192*z**2 + 1038*z**2 - 2109*z**2.\nAnswer: 121*z**2 + 7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/4*48\/(-8). Let x = s - -7. Let g be (-4)\/x - -1*1. Which is the biggest value? (a) 5 (b) -1\/2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(((-2)\/(-4))\/(9\/(-18)))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 2*t - 2, 2*t + 0*t - 2 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(304) + 5)**2 - (1 + -3*sqrt(304))**2)*-1.\nAnswer: -64*sqrt(19) + 2408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.916349 litres in millilitres?\nAnswer: 8916.349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3354.\nAnswer: 2, 3, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6*(-5)\/90)\/(((-77)\/(-66))\/7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -11*b**3 + 8. Let y(r) = -15*r**3 - 1. Let q(x) be the second derivative of 7*x**5\/20 - 16*x. Let u(a) = 7*q(a) + 3*y(a). Determine -3*f(v) - 8*u(v).\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 2*l - 4*z, -4*l = -3*l - 5*z - 25. Suppose 2*r + 6 = l*r. Is 10 a factor of 536\/18 - r\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a micrometer in nanometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 867424 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*d - 274 = 7*d, -2*d = -2*y + 564. What is the greatest common divisor of y and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 926006 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + 43 - 8) + (7 + -13 - 9).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-2)*490\/(-294).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90, -93, -96, -99, -102, -105?\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*k**2 - 14*k**2 + 6*k + 20*k**2)*(-3*k**2 - 5*k**2 - k**2).\nAnswer: 18*k**4 - 54*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 5*x + 18. Give o(-9).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (100\/205)\/(498\/(-20418))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 841 = 98*x + 1331. What is the closest to -11 in 3\/5, 2\/7, 38, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2379.5 + 2422.5. Which is the third biggest value? (a) -1\/3 (b) m (c) -0.07 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*w - 96 = -474 for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(700)*1 - (sqrt(700) - (sqrt(700) + (sqrt(700) - (-5 + 1 + sqrt(700)))))) + (0 + sqrt(7)*-5 - (sqrt(280)\/sqrt(8))\/sqrt(5)))**2.\nAnswer: 32*sqrt(7) + 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -1, 4 in descending order.\nAnswer: 4, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i + 1. Let r(f) = 18*f - 3. Let y(q) = -71*q + 20. Let g(w) = 4*r(w) + y(w). Determine -g(o) - 2*p(o).\nAnswer: o - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-22)\/55)\/((-1)\/(-5)). Let o(d) = d**2 - d - 1. Let u be o(f). Solve 4*q + 1 = u*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/4)*p)\/(p**(-4\/3)\/p*p))\/(p**(-1\/2)*p*p)**38 assuming p is positive.\nAnswer: p**(-653\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 89 - 107 = 0. Let t be 194\/6 - (-3)\/b. Let j = 411 - t. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, 4, 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in 5, -4\/29, -117?\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 537511 is divided by 268746?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (22 + -12 - 1)) + (7 - (-1 + -4))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8180 + -1?\nAnswer: -8181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7865584kg in tonnes?\nAnswer: 0.0007865584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1384 - 1356 + 0*m**2 - 2*m**3 - m**2 - 4*m to n*m + c*m**2 + d + v*m**3 and give d.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2 = -2. What is the second derivative of 2*b**2 - b + 3*b**3 - 2*b**k + 0*b**3 wrt b?\nAnswer: 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 14, g: 1}. What is prob of picking 1 g and 2 d?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226*v**2 + 0*v**3 - 4*v**3 - 226*v**2.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -212 - -4?\nAnswer: -20c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 502 divided by 198130.\nAnswer: 251\/99065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pypesis. Give prob of picking 1 i, 2 s, and 1 e.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one sixteenth of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 596187 and 622?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do -619 and -53231\/86 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -13 (b) 9 (c) -0.176 (d) 4\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -420, -418, -416, -414?\nAnswer: -412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 157713148 a multiple of 646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4*2 - ((-65)\/78)\/((-6)\/(-36))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 76 and 32.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, j: 1, z: 1, g: 2, f: 1, u: 1}. What is prob of picking 1 f, 1 j, and 1 g?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 1*sqrt(75))*-2*1 - (6*sqrt(75) + sqrt(75) + 2 - (-3 + sqrt(75) + 5)))**2.\nAnswer: 320*sqrt(3) + 4816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 800?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 163*i + 4132. Let r be z(31). Calculate the greatest common factor of 770 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -185 + 183. Let s(x) = -176*x + 12. Let d be s(f). Calculate the highest common factor of d and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 183 - 81. Let v = -92 + x. Suppose 9*i - v*i = 0. Solve i = 5*n - 3 - 17 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 214190506?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 111674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 7*i**2 - 3*i + 1. Let g be o(2). Let z = -142 + 257. What is the highest common divisor of z and g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 4*z + 17. Suppose -t = -4*b + 12, 3*t - 28 = -2*b - 2*b. Let f be p(b). Let w = f + -14. Let k(v) = -2*v**2. What is k(w)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 3 + -11 + (3 - (-2 - 25)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 10:53 PM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/1 - (1 + 0). Let s = 1973 - 1973.2. What is the second biggest value in s, u, -0.5, -25\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 82c8 (base 13) to base 7\nAnswer: 103464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(17)*-2 - sqrt(17)) + (-3*sqrt(119))\/sqrt(7))**2 + (sqrt(136) + 6*(2*sqrt(136) + sqrt(136)))\/(sqrt(8) + (2*sqrt(32))\/sqrt(4)).\nAnswer: 91*sqrt(17)\/3 + 616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (2 - (11 + -11))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -36 - 16?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 66003143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2 - 156032570*l.\nAnswer: -2*l*(l + 78016285)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j**3 + 10*j**2 + 2. Let w = 129 - 124. Let t be a(w). Solve 0 = -v - 2*s + 13, 3*s - 40 = -5*v - t*s for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/5 or -2765?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 97*f. Let i(s) be the third derivative of -s**4\/12 - 1083*s**2 - 1. What is t(i(k))?\nAnswer: -194*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1936?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2751 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilometer in centimeters?\nAnswer: 5000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 150\/9 - 4\/(-12). Let x = 6 - -1. Let h be 250\/8 + x\/(-28). Solve 3*g + 2*o - t = 0, -5*g - 5*o + h = -o for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102204300 (base 5) in base 13?\nAnswer: 12018c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -414855 divided by 5\nAnswer: -82971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17975204.\nAnswer: 2, 13, 43, 8039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + dd58?\nAnswer: dd5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 2) + (15 - 11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 2*g - 9 = 0, 641*h - 13*g - 24 = 636*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 7*w + 3*w)*(-789*w + 407 - 135 - 139 - 132).\nAnswer: 789*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 171240 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 7*i - 4. Let d be u(8). Solve -6 + 1 = 5*t, d*t = -3*w + 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 485329978?\nAnswer: 2, 7, 34666427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and 391717045.\nAnswer: 391717042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/1*0*(-4)\/(-32).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13\/162603209 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, i: 1, j: 3, y: 5, n: 1, c: 1}. Give prob of picking 1 r, 1 n, 1 j, and 1 i.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 62 + -42. Solve -2*p = 4*r + 2*p - k, 18 = 2*r + 4*p for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 2*n + 2*n)*(-2*n**2 - 1 + 1) + (9519 - 6427*n - 9519)*(-3*n**2 - 2*n**2 + 6*n**2).\nAnswer: -6425*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 8 + 416. Suppose -2*z = -v - 498. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128\/88*27\/(-72).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68 + 6*n**3 - n**3 + 68 + 9*n.\nAnswer: 5*n**3 + 9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 16*c**2 - 30*c + 6. Let k be v(-14). Let z = -35 + k. Let o(t) = -2*t + 5. Let h(b) = -1. Determine z*o(i) - 3*h(i).\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25203\/16 + 1575. Find the common denominator of l and 59\/446.\nAnswer: 3568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 7 = 4*i - 45, 3*r = -4*i + 84. What is i rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c + 0*c + 3*c)*(1 - 1 + 2) + 2*c + 9*c + 2*c + (-2 + 2 - 1)*(-3*c - 3*c + 0*c).\nAnswer: 15*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1589.48 and -0.1906?\nAnswer: 302.954888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156152369?\nAnswer: 89, 883, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 468 + 132. Calculate the greatest common factor of t and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1005638 (base 16) to base 4.\nAnswer: -1000011120320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - j - 25 = 0, -4*y + 9 = -32*j + 27*j for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3145592151?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/2915 and 52\/25069?\nAnswer: 125345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2549*x - 15713. Give t(6).\nAnswer: -419","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 9:40 AM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (90\/180)\/((-8)\/40)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 4*f + 1)*(-2 + 0 + 0)*((0 - f + 0)*(0 + 2 - 1) + 2*f - 2 + 2) + 1523 - 1523 + 10*f**2 to the form h*f + z*f**2 + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 546369144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*k + 5*j = -34*k + 182777, -4*j = -3*k + 548407. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 - x + 4. Let w be j(2). Solve -m = 2*m + w for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -5*t - 10, k + 4*k = -4*t - 45. Put k, -4, 5 in decreasing order.\nAnswer: 5, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -2. Put d, 0.03, -2\/9 in descending order.\nAnswer: d, 0.03, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76932.\nAnswer: 2, 3, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n**3 + 171*n**2 - 8*n - 483. Let h be d(-57). Let j(s) = -s**2 - 33*s - 158. Calculate j(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29784 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -44200 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -11, -18, -27, -38, -51, -66?\n\"Answer: -t**2 - 4*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -4765906*s**3 + s. Let c be r(-1). Let z = -3325905 + c. Round z to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8056\/3 - 2687. Let c(a) = -2*a. Let t be c(-3). Suppose 3*n - t = -0*n. What is the second biggest value in z, -3, n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1400027219\/115210 + 498460\/41. Let p = -1\/562 + n. What is the common denominator of p and 29\/(-203) - 345\/70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 662, 1032, 1404, 1778?\nAnswer: 2154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 14*v**2 + 22*v + 11. What are the prime factors of b(15)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96578 and 33690.\nAnswer: 1448670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.53 + 0.53000015. Round q to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1101 + 1095. Put 7, u, 5, 2 in descending order.\nAnswer: 7, 5, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = 25, -13*y + 16*c + 231 = -8*y + 91 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((167\/(-668))\/(35\/(-364)))\/(2\/10).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2028 is divided by 171.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 99, 368, 891, 1752?\nAnswer: 3035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + 374\/66)*3\/58\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 499 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/63*2\/(-2). Let y be (4\/(-15))\/((-1)\/3). Let m(u) = -u - 5. Let x be m(0). Which is the second biggest value? (a) p (b) x (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m - 8*m - 8*m - 15*m + 31*m. Let q(u) = -2*u**2 - 5*u. What is 2*l(r) - q(r)?\nAnswer: 2*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -388*p + 384*p = 20. Let n = 666 - 671. Which is the closest to n? (a) p (b) 15 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293143 is divided by 491.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -90*n. Let q(x) = -11915*x. What is h(q(d))?\nAnswer: 1072350*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66 + 90 + 344*y - 348*y - 24.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -60?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 41, -3, 3\/4, 45.58, -1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000014477418 to 7 decimal places.\nAnswer: 0.0000145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6449 + 25711\/4. Let r = 179761\/12 + -14971. What is the common denominator of r and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 276773822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 4 = -2*x. Let c be 2*x*(-2 + -2). Find the first derivative of c - 3*q**2 - 9 + 2 wrt q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 3) to base 2\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 157 - 1101\/7. Let c(p) = p**2 - 3*p - 2. Let j be c(4). Let i be 1*(3 - j) - 2. Which is greater: i or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 140 and 532?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 40459991 + 7197.\nAnswer: 40467188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + 7 + -30 - 3. Let n be 15\/v*(-252)\/(-7). Is -23 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 2 = 4*c. Let w(k) be the third derivative of 11*k**4\/24 + k**3\/6 - 6*k**2. Is w(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 4*i - 2*i)*(6*i - i - 4*i) + 55 - 55 + 15*i**2.\nAnswer: 14*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 735 is divided by 535.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 7*y + 5 = 0. Solve 15 = -4*d + h, 0 = -4*d - 0*h + 5*h + y for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/203 and (112\/980)\/(133\/75 - 1)?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -r**4\/2 + 121*r**2 + 482*r + 675. What is the first derivative of b(s) wrt s?\nAnswer: -6*s**2 + 242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48086.834*5\nAnswer: 240434.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -0*a + 9. Let x be a*1*1\/(-1). Let q(h) = h**2 + 5*h - 5. Let u be q(-6). Sort 5, x, u in increasing order.\nAnswer: x, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.622 to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 329 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1647 - 2*z**3 - 548 - 552 - 547 - 18*z**3 + 4*z**3.\nAnswer: -16*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 9:37 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - 2*x. Let i be c(5). Let z = 18 - i. Solve -5*k = -0*k + z*w, 0 = 5*w - 25 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 6. Let j = 0 + 0.1. Is c bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -94799 by -94799.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 275586?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1545505*h*q**2*z - 391506*q**2*z + 6*z wrt h?\nAnswer: 1545505*q**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 17 + (2486 - 2505)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 289516?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/48)\/(15\/(-45))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4*(4 + (sqrt(1872) + sqrt(1872) + (1*sqrt(1872))**2)*2 + -2 + 2)*4.\nAnswer: 768*sqrt(13) + 59967","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a microgram in nanograms?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2160) + -3*sqrt(2160))\/((sqrt(50)\/sqrt(5))\/sqrt(2)) - (sqrt(60)\/sqrt(45))\/(1*sqrt(4)*6 - sqrt(4)).\nAnswer: -361*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/(-312))\/(2 + 4\/(-3)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3 and -74139?\nAnswer: 74142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -195.3591 + 186.3590916. Let j = h - -9. Round j to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of 29*u**4\/2 - 26*u**3\/3 + 2*u**2 + 5. Let x(z) = z**3 - z**2. Let l(k) = -s(k) - 6*x(k). Factor l(d).\nAnswer: -4*d*(4*d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 112764?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3011031 a multiple of 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 6*n**2 - 12*n + 7. Let d(l) = -l**2 + l. Let f(p) = a(p) + 5*d(p). Let j be f(4). Put 6, j, -4 in increasing order.\nAnswer: j, -4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 34.4 (c) 73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((48\/9)\/(-4))\/((-70)\/21)*(-1625)\/845?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z - 6*z**5 + 0*z - z**5 + 5 - 5 + (0*z**2 + 0*z**2 + z**2)*(2*z**3 - 6*z**3 + z**3) - 8*z**5 + 127*z**3 + 3*z - 127*z**3.\nAnswer: -18*z**5 + 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18 (base 13) to base 14.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1147 by -11.\nAnswer: -1147\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 114 = 2*r. Let g = -28 - r. Does 12 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u**4 - 2*u**2 + 35*u**3 + 4 + 33*u**3 + 4 - 67*u**3 + 3*u - 2*u in the form a*u**3 + p*u + n*u**4 + i*u**2 + o and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -3, -5*f = -2*f - 2*y - 5. Suppose 29 + f = 3*d. Let g(k) = 4*k**2 + 123*k - 123. Calculate the remainder when g(-32) is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*h)*(2 + 3 - 2) + 2*h - 2*h - 3*h + 3 - 3*h - 3 + h + 2*h - 2*h - h + 1 - 1 + (2 + 2 - 3)*(4*h - 3*h - 2*h).\nAnswer: -13*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 287 and 14965.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - -18. Let w(b) = 2*b**2 - 10*b + 5. What is the remainder when w(8) is divided by k\/(-5) - (-182)\/10?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 10:56 AM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*w + 22*w - 42*w = 114 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 53221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -19 - (-13 + -5 - -8).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10*10\/(-125)*-5. Let q(b) be the second derivative of 1\/9*b**y + 2*b + 1\/30*b**5 + 0 + 1\/9*b**3 + 0*b**2. Factor q(r).\nAnswer: 2*r*(r + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (36\/(-18 + 9) - -5)*27. Solve g + 25*w - 2 = m*w, -3*w = -g + 1 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50\/(12450\/83)*129\/(-1)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 35, -33 in increasing order.\nAnswer: -33, -5, 2, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*z + 2*z + 3*z)*(-5 - 15 + 9) to the form v*z + h and give v.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 61\/(-6) - (-2)\/12. Let y be 344999\/(-5) - (-2)\/a. Round y to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**4 + 23644*j**3 - 1686512*j**2 + 27290756*j + 97689102 = 0.\nAnswer: -11893, -3, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 - 183520*h + 1683979520.\nAnswer: 5*(h - 18352)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(704) - 1*sqrt(704))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 4*j + 7. Let x be z(4). Suppose 5*h - 84 = h - 4*t, 3*h - 5*t = x. Calculate the greatest common factor of 27 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, q: 9}. Give prob of sequence qqy.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x*x**5)\/(x**(-6)*x))\/(x**(1\/4)\/x**(-1\/4)))\/((x**(-1)\/x)**2\/((x**(1\/4)\/x)\/x*x**(-3))) assuming x is positive.\nAnswer: x**(43\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = i - 2. Suppose 11*p - 25 = i. Suppose -3*o - r = -2*o - 40, -3*o + 113 = -p*r. What is the highest common divisor of o and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4*n = n + 47, -5*n + 61 = 2*k. Solve 4*q + 3*j = k, 13 = 5*q - j - 0*j for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2657052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (118*n**3 + 75*n**3 - 203*n**3 - 16)*(n - 2 + 2) in the form p*n**3 + j*n + x*n**2 + o + h*n**4 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y**3 - y**2 - 6*y + 6. Let w be z(1). Solve -5*g + w = t - 9*g, 0 = -4*t + g - 18 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -759*w + 761*w - 5*a + 18, 4 = w + 4*a for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/17361860 and 75\/21856?\nAnswer: 138894880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 690507054?\nAnswer: 2, 3, 17, 2256559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 4*x**2 + 2*x - 1. Calculate c(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 9, o: 2, m: 2}. Give prob of sequence owmo.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 10 = 11*y - 6*y, 2*d = -2*y + 8 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/13 or -421050?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q - 2. Let r be h(10). Is (70 - 0) + r\/4 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dde when three letters picked without replacement from ded.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-14) + 9\/7. What is the units digit of -4 + r + 26\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5215 - 5144. Solve v + 2*r = 8, -o = -5*v + 3*r - 83 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-14) - (-30)\/7. Suppose -4*m - q = 12. Let j(x) = 2*x**2 + 6*x + 6. What is the remainder when 27 is divided by j(m)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ugg when three letters picked without replacement from {u: 9, g: 7, d: 2}?\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-136)\/(-6))\/(5232\/(-1308))?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + g - 2)*(-8*g - g + 2*g - 5*g) to the form i*g + s + p*g**2 and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1408950?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*q + 5200 = -2*q. Is q a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.5848 to two dps.\nAnswer: 2.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 4*x + 1477, 4*x - 289 = -a - 0*x. Let w = a + -164. List the prime factors of w.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 2*h + 14, -22 = 5*y - y + 2*h. Put 4, 1, y in descending order.\nAnswer: 4, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-51)\/102)\/((-9)\/((-18)\/4)))\/((-1)\/152)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50.9 + -48. Let f = k - 3. Let v be -1 - (1 + -1 - -2). What is the nearest to f in -0.3, 1\/3, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23710 + 23853 = -13*j for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (4\/6)\/(16\/1416)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 l when two letters picked without replacement from {i: 1, l: 2, s: 1, w: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of s**8\/112 - s**7\/14 + s**6\/20 + 2*s**5\/5 + 163*s**2. Factor r(t).\nAnswer: 3*t**2*(t - 4)*(t - 2)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(2\/(-20)*-4). Put -0.5, -2, l in increasing order.\nAnswer: l, -2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 22*x + 11. Let h(k) = -33*k - 15. Determine -7*g(r) - 5*h(r).\nAnswer: 11*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.7 - 1.4. Let r = d - -55.7. Which is smaller: -1 or r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 7:33 PM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-33 + 45 - ((4 - 4) + 2)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -4. Suppose c = 4*y - y - 120. Suppose -6*h = -5*b - 2*h + y, -5*h = -4*b + 41. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 12. Suppose w*t = 6*t - 90. Let a = t + -12. Let n(c) = 3*c + 4. Determine n(a).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -12\/427 and 149\/366.\nAnswer: 2562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u**2. Let f(b) = -b**3 + 5*b**2 - 3*b + 1. Let x be f(4). Suppose 2 = x*y - 8. Let h(c) = 6*c**y + 0*c**2 - 5*c**2. Give z(h(d)).\nAnswer: -3*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4678 - 3167. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of 1\/2*a**2 + 8\/3*a**3 + 282 - a. Let c(k) = k**3 - k**2 - k + 1. Let m be c(0). Calculate d(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -3*-3*sqrt(162) - (-5*sqrt(162)*-2 + 3))*3)**2.\nAnswer: -324*sqrt(2) + 1494","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 21*k**2 - k - 9. Let z(l) = -10*l**2 + l + 5. Calculate 3*q(a) + 5*z(a).\nAnswer: 13*a**2 + 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68200 = 1008*o + 1720*o for o.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -27\/4? (a) -0.1 (b) 1\/4 (c) 0.3 (d) -12 (e) -84\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251 is divided by 87?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/88 and 47\/1903.\nAnswer: 15224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 18454 divided by -1\nAnswer: -18454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence szep when four letters picked without replacement from epeetelpzepeeseplepe.\nAnswer: 5\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 155818*2.2\nAnswer: 342799.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d, 1 r, and 1 x when four letters picked without replacement from {r: 2, k: 6, x: 6, d: 4}?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/8 of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1521245 - -1?\nAnswer: 1521250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 197594542 to the nearest integer?\nAnswer: 14057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -6*a + 129992. Suppose 2*o - 2*k = -a, 13985 = -5*o - 2*k - 311023. Round o to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 163872 and 4032?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*w - 7*w + w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 86944283243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 2 - 2)*(1 - 2 - 3)*(1849 + 466*n - 1849).\nAnswer: -11184*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -372, -746, -1120, -1494?\nAnswer: -1868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*n + 4*w, 16 = n - 0*n - 3*w. Let k = -2 + 3. Let f = k - 1. Which is the closest to n? (a) -0.5 (b) -3\/8 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 6:52 PM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -286583*h**3*l - 3*h**3 - 90056*h wrt l?\nAnswer: -286583*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1241.\nAnswer: 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**2 - 16*h + 28. Suppose 3*m + 3*q - 30 = 0, m = q - 3*q + 13. Determine j(m).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 13354*c. Let s(z) = -849*z. Let b(t) = 106*t. Let v(l) = 8*b(l) + s(l). Calculate v(x(q)).\nAnswer: -13354*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 209 and 4.318 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 4*-4*sqrt(448)*-6 + 4 + 4*sqrt(175)*-3 + sqrt(175))**2.\nAnswer: 7130*sqrt(7) + 3558608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*t + 210*t = -33*t - 9405 for t.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1744 and 1104.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 135653174\nAnswer: -5\/135653174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a kilometer in meters?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18.6 and -0.1?\nAnswer: 1.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 534*h - 537*h - 96. Suppose -2*o = 64 - 186. Let u = h + o. What is the remainder when 84 is divided by u?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 4. Suppose 4*h = -d - 3*d - k, 0 = -5*h - 25. Determine x, given that -4*x**4 + 10*x**5 + 9*x**3 - 9*x**d = 0.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 27*g**2 - g. Does 14 divide m(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1141054829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 274, 285, 298, 313, 330, 349?\nAnswer: 370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 324432?\nAnswer: 324440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-336)*(6\/33)\/((624\/2002)\/6)?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence anha when four letters picked without replacement from {h: 7, s: 1, o: 2, a: 4, n: 6}.\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*r - 42*r + 488 = 0. Let o be 34\/(-153) - r\/18. Which is bigger: o or -33\/5?\nAnswer: -33\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/(6\/(-48987)*3). Let o = k + 6439045\/169. Let d = 16057\/2366 - o. Find the common denominator of d and 19\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.024082 to three decimal places.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 96977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h\/h**15*h*h**(-3)\/h*(((h**(2\/29)\/h)\/h*h*h)\/h)**(2\/13) assuming h is positive.\nAnswer: h**(-6086\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, m: 4, k: 2}. What is prob of picking 1 k, 1 m, and 1 r?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21831087 (base 9) to base 4.\nAnswer: -220121200312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 10*q = 0. Suppose 4*n = -3*u - q*u - 12, 5*n + 5*u = -10. What are the prime factors of (-80)\/24*(-1)\/(n\/(-99))?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4)\/w*w**(-2\/3))\/(w*w**7*w*w\/(w\/(w*w**8)*w))*((w*w*w\/(w*w\/(w*w**3*w)))\/(w*w**(-2)*w))\/(w\/w**6*w*w**6\/w*w*w) assuming w is positive.\nAnswer: w**(-59\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -46 - -1513?\nAnswer: 1445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2225, 2457, 2845, 3389, 4089, 4945, 5957?\n\"Answer: 78*y**2 - 2*y + 2149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*a - 258 - 1312*a**2 + 117*a + 666*a**2 + 647*a**2.\nAnswer: (a - 2)*(a + 129)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 11*u**2 + 45*u + 169. What is x(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 18 = 4*t, 2*t + 75680 = -5*q + 75676 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 6 + 9. Find the third derivative of -5*c**3 + 7*c**v - 2*c**3 + 53*c**4 - 60*c**2 wrt c.\nAnswer: 1272*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p**2 - 21*p**2 + 5*p**2 - 21*p**2.\nAnswer: -31*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of 0*p**5 + 1\/30*p**4 + 1\/30*p**3 - 4*p + 0 - 1\/75*p**6 - 1\/210*p**7 + 0*p**2. What is o in h(o) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1952, 4023, 7474, 12305?\n\"Answer: 690*i**2 + i + 1261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -64*z**3 + 15*z**2 - 12 - 3*z**4 + 199*z**3 - 74*z**3 - 61*z**3 = 0?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237*s - 232*s + 20*n = -6*n + 56, -4*s + 4*n + 20 = 0 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {a: 1, z: 6, j: 4}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(7\/6)\/f**(2\/3))\/(f**(-1\/5)*f**(-1)*f))**(-46) assuming f is positive.\nAnswer: f**(-161\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-14)\/(-2))\/(2\/50). Let d = o - 97. Is 26 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - w + 123464, 36866 = 3*d - 2*w - 55710. Is 32 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*x = 33*x + 124 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 u when two letters picked without replacement from {q: 1, t: 2, l: 1, u: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**7\/t**(13\/4))**(-15) assuming t is positive.\nAnswer: t**(-225\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 32.\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.5 and -1.818.\nAnswer: -2.727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 147446*p + 9735790. Determine s(-66).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 2*y + 1286, 2*y - 3*y = n - 320. Calculate the remainder when n is divided by 65.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31337532797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22631577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 613900*m - 613873*m.\nAnswer: 27*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of 1\/3*n**3 - 3 + 5*n + 7\/2*n**2. Determine s(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003969 rounded to five dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p + 645 + 0*p + 3*p - 95. Let g be b(0). What is g rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1681*b - 224680 = -258*b + 217*b for b.\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 58 = 9*j. Solve 5 = -j*o, -3*b - 2*b - o + 4 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/22)\/((-12)\/66*-3).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 128\/443755, 3?\nAnswer: 128\/443755","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 265*p**3 - 1. Let c be x(1). What is the greatest common divisor of 33 and c?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -de + 8?\nAnswer: -d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a = 88*a + 109*a + 150*a + 4248 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/7 - 14346*z**2 + 1257806118*z\/7 + 69483445790\/7.\nAnswer: 2*(z - 25133)**2*(z + 55)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2643.53 rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3346 = 5*f + 3341 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-72)\/(-15)*20\/6. Suppose a*x - 15*x - 8 = 0. Calculate the lowest common multiple of 3 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1424576 is divided by 414.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = w + 210 - 173, -2*v = 5*w + 24 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12701321 (base 10) to base 7.\nAnswer: -212650043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 3:23 PM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + f + 3*f)*(16 - 16 - 3*f)*(6 - 2 - 2).\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18212798.117 - -0.1163.\nAnswer: 18212798.2333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((3 + sqrt(468) + sqrt(468))**2 + (sqrt(26)\/sqrt(2)*-5 - sqrt(13)) + 4) + 3.\nAnswer: 330*sqrt(13) + 9428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 3:07 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80 and 152.\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -256 and -256 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 e when three letters picked without replacement from ecte.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -665 - -665. Solve c = 15*x - 46*x - 155 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -968?\nAnswer: -96c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 10 + 30. Let z = -5 + 21. What is the lowest common multiple of (-2)\/d - 94\/(-8) and z?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10391707?\nAnswer: 97, 149, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 90*l - 54*l - 22 - 302 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -5\/6*u**6 - u**3 + 0*u**2 + 0*u**4 + 0*u**5 + 0*u - 1. What is the third derivative of w(k) wrt k?\nAnswer: -300*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 5*k - 8. Suppose 128 + 204 = k*s. Does 10 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.4 - -53.4. Let i = 32 - k. Let d = 19 + i. Which is the nearest to 0? (a) d (b) 0.2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -298 + 299 + -11566*3\/9*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14900 by -3725.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence teec when four letters picked without replacement from tcecte.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*z - z**3 + 4*z)*(-5*z + 5*z - 2*z) - 293*z**4 + 247*z**4 - 674*z**4 in the form s*z + m*z**2 + k + p*z**4 + x*z**3 and give p.\nAnswer: -718","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -5. Let g = -3 - f. Let o = 0.4 + -0.3. Put o, g, -1\/4 in decreasing order.\nAnswer: g, o, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 9 + 315. Let m = 711 - 506. Let s = m + j. What are the prime factors of s?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*o**3 - 18*o**3 - 18*o**3.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 11*g - 2. Let m = -7561 + 7564. Let n(w) = -10*w + 3. What is m*r(i) + 2*n(i)?\nAnswer: 13*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 8*i - 3. Let v be b(4). Suppose -2*d + 1034 = -p - 0*p, 2068 = 4*d + 2*p. Suppose -63 = -5*r + d. What is the greatest common divisor of v and r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -69 - 1. Let u(o) = -3*o**2 - o + 1. Let b be u(-3). Let l = b - d. Is 15 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**2. Suppose -a - 4*a + 10 = 0. Let c = -757 + 760. Let u(h) = h**2 + c*h**2 + h**a. Determine u(w(g)).\nAnswer: 20*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -122 * 1.16\nAnswer: -141.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*r - 17*r - 31*r - 14*r + 102*r - 18*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 + 2 - 2 + (0*t + 3*t - 2*t)*(-11*t - 19*t + 15*t))*(0 - t + 0 + (2*t - 2 + 2)*(1 - 3 + 3)).\nAnswer: -17*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16*(26657\/1840)\/61.\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, q: 2, x: 1, p: 1}. Give prob of sequence xq.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + r. Let v(a) = 8*a**2 - 2*a - 8. What is 2*i(x) + v(x)?\nAnswer: 6*x**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -23, 5.1, -3, 3, 4\/3?\nAnswer: 5.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1216))**2 + (sqrt(1900)*2)**2.\nAnswer: 8816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*((m**0*m)\/m)\/m)**25)**(2\/45) assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3472620 a multiple of 1867?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -101010011 (base 2) to base 3\nAnswer: -110120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**(1\/5)*o**(-2\/7)\/o*o*(o*o*o**(2\/9))**(13\/2)*(o**0)**(-3\/16)\/(o**(-1\/8)\/((o*o**(3\/5))\/o)) assuming o is positive.\nAnswer: o**(39523\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 13*j. Let u(f) = 5416*f. Determine u(g(z)).\nAnswer: 70408*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 23 + 79*n**2 + 6*n - 232*n**2 + 70*n**2 + 14*n**3 + 72*n**2. Let u(k) = 5*k**3 - 4*k**2 + 2*k + 8. Give -4*j(o) + 11*u(o).\nAnswer: -o**3 - 2*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 917 + -269. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4.6 (b) -1 (c) 2\/3 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) - sqrt(75)*3)**2 - sqrt(600)\/sqrt(8).\nAnswer: -5*sqrt(3) + 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -10660?\nAnswer: 10655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**2\/(p\/(p\/p**0))*p**(-1\/5)*p**(-2\/7))**(-40))**(-38) assuming p is positive.\nAnswer: p**(16112\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 211 - 1729\/8. Calculate the common denominator of (1 - 0) + (-6 - (-603)\/98) and v.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 826887543?\nAnswer: 3, 19, 433, 33503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o + 7. Let l be f(-9). Let v(u) = 2*u**3 + u**2 - 3*u - 3. Let z be v(l). Let r be (6\/(-4))\/(z\/(-12)). What is the biggest value in 3\/8, -1, r?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 2:27 PM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {p: 1, h: 1, i: 2, u: 5}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, c: 7, t: 6, h: 5}. What is prob of sequence tt?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 a factor of 1090278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0092613617 rounded to 5 dps?\nAnswer: 0.00926","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = s - 1. Is -5 + s + 1443 + -4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 483312?\nAnswer: 2, 3, 10069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 2*h - 3*h + 157, -2*s + 93 = 3*h. Calculate the highest common divisor of s and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - y + 36. Suppose 5*g - 2*i = -6*i + y, 4*g + 3*i - 5 = 0. Suppose 1036 = 2*v + g*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -70 + 70.4. Which is the biggest value? (a) -21 (b) 1.9 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -127136845 divided by 25427369.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 464090 and 92818?\nAnswer: 464090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9768 - 1934*b**2 - 9768.\nAnswer: -1934*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -21809 < -21648?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a (base 11) to base 7.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1156131077\/3 greater than 385377026?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8056, -8052, -8048?\n\"Answer: 4*d - 8060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.3, -5, -2.2.\nAnswer: -5, -2.2, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 2 - 2 = 0. What is the highest common factor of y and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 - ((25 - (17 - -1)) + (0 - 5))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 10 + 16 = 0. Let o(m) = -19*m**3 - 77*m**2 - 54*m + 82. Let l(a) = -3*a**3 - 13*a**2 - 9*a + 14. Let d(g) = -13*l(g) + 2*o(g). Is d(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/230789 and -83\/177530?\nAnswer: 2307890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vhv when three letters picked without replacement from hkbvkvkhhkkhkkvhhkk.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 1644*y - 37808. Calculate i(23).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*a - 2*a - 5*a - 21*a**2 + 19*a**2 - 7*a**4 - 80*a**4 as j + d*a**2 + o*a + k*a**3 + v*a**4 and give v.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 10786*f + 183357. Determine i(-17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*r + 55 - 11 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2a - c05?\nAnswer: -bca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - 6*s + 18. Let l be j(-7). Let f be 17\/(-34)*22*(-2)\/l. Find o, given that 2\/15*o**5 + 0*o + 2\/5*o**4 + 0 + 2\/15*o**f + 2\/5*o**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of q**2\/2 - 5*q + 6. What is l(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (12 - -10) - -15) + 1 + -2\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1044419?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from quqqqqquqqq. Give prob of sequence quuq.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 2 and 3419\/2049 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7492 + 7495. Let b(r) be the third derivative of -7\/6*r**x - 1\/12*r**4 - 41*r**2 + 0 + 0*r. Let s(v) = 3*v + 11. Give 8*b(f) + 5*s(f).\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*v + 23*v - 42 = 0 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k + 6. Let r(z) = -7*z - 11. Let g(n) = -5*d(n) - 3*r(n). Let h be g(5). Solve h*p - 26 = 3*p - c, 0 = c - 1 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 + 0 - 1) + -4. Let t = 0.34 + -0.3. Let h = -11721\/7 + 1674. What is the biggest value in d, h, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -1. Let a = 9.3 + o. Sort 0.01, a, 4\/3 in ascending order.\nAnswer: 0.01, a, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + g + 52 = 0, -255*l + 239*l = 2*g - 184 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 291 + 44. Let g = 339 - h. Solve s + g*s = 5*x - 10, -1 = x + 2*s for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(10))\/sqrt(5) + -3 + (sqrt(8) - sqrt(2)) + sqrt(2))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 3:36 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.17*558\nAnswer: 94.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -s + 5*y, 4*s + 46*y + 9 - 42 = -9*y + 54*y for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**3 - 225*o**2 + 329*o + 468. Calculate the least common multiple of 264 and m(111).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**0)**(-2\/5))**(5\/4) assuming f is positive.\nAnswer: 1\/sqrt(f)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118195 is divided by 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hjjhjjhjjj. What is prob of sequence hjhj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**(-1)\/f))\/f*f\/(f\/f**7))**50 assuming f is positive.\nAnswer: f**450","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a milligram in micrograms?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -341*u + 44708. Determine p(131).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15046*w**3 - 9*w - 7533*w**3 + 9*w - 7508*w**3.\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -11*b - 33. What is y(-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - s + 4*s + 18 = 4*n, 0 = -3*s - 25*n + 65 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a microgram in nanograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 478.7311mm in centimeters?\nAnswer: 47.87311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, -424, 8\/27?\nAnswer: 8\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20241810?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 298 + 357 = 63*h - 227 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -603420 divided by -26?\nAnswer: 301710\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-35)\/14)\/((-4)\/(-8)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z + 34. Let j be q(-15). Let b(y) = 3*y - 2. Let k be b(2). Let o be (1\/1)\/1 + k. Put o, j, 0.1 in descending order.\nAnswer: o, j, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 74064?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j**3 - 3*j + 28. Let w(a) = -5*a**3 + 5*a - 42. Let q(f) = 8*d(f) + 5*w(f). Let z = -23 + 23. What are the prime factors of q(z)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 10*j**2 + 3*j. Suppose n = b, -b - 6 = 2*n + 3. List the prime factors of y(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuv when three letters picked without replacement from {v: 2, l: 4, u: 6}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/((-3)\/4)*99\/(-12). Let r be 1*14 - (-35 - j). What is the third derivative of r*k**6 - 31*k**6 - 9*k**6 + 24*k**2 wrt k?\nAnswer: -2880*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-6) + (-946006)\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27466368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62 - 62 - (2 + 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 139524589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -56881 * -0.0756\nAnswer: 4300.2036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/12)\/(6\/(-24) + (-2)\/(-4)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/5 + (-10 - (-31454566)\/3415040). Let i be 3\/(-1) - 35331\/(-11776). Let c = z - i. What is the common denominator of c and -59\/6?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -536 (c) 179\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 3556885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.04, -46, -1\/8, 1\/7 in increasing order.\nAnswer: -46, -4, -1\/8, 0.04, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -1584*k - 17424. Let z be d(-11). Let r = 197 - 2169\/11. What is the nearest to z in 1, -0.04, r?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -3, 0.06 in decreasing order.\nAnswer: 0.06, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-5 - (1 - 4))) + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27 + 1591*w**3 + 12*w + 10*w - 15 + 4 wrt w?\nAnswer: 9546*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 r when three letters picked without replacement from texxxhxxrerxtwehtt.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -474 - -875. What are the prime factors of p?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 0. Let t(d) = -3*d**3 + 13*d**2 + 19*d + 8. Let j(f) = -2*f**3 + 12*f**2 + 19*f + 6. Let q(k) = -4*j(k) + 3*t(k). What is the units digit of q(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 + (71 - (-11 + 45)).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*o**3\/3 - 3013*o**2\/3 + 3725*o\/3 - 233 = 0 for o.\nAnswer: -233, 3\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -4*v - 0. Let m = 3 + v. Let u = -40 - -46. What is the lowest common multiple of m and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**6\/(r*r*r**(1\/4)*r)*(r**1)**(4\/3))\/((r\/(r\/(r*r*r*r*r*r**0*r))*r)\/(r\/r**(-3))*r**6\/(r**(-1\/4)*r)) assuming r is positive.\nAnswer: r**(-25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -0.7 (b) -2 (c) 0.5 (d) 0 (e) 3 (f) 19 (g) -2\/227\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*f**3*t**3 + 2*f**2*t**3 + 11*t**3 + 8 wrt f?\nAnswer: 12*f**2*t**3 + 4*f*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15\/536 or 10\/49?\nAnswer: 10\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**3 - 6*m**3 + 4*m**3)*(-1 - m + 1) - 62*m - 149*m**3 + 149*m**3 + 62*m + 4339*m**4.\nAnswer: 4340*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmmi when four letters picked without replacement from mimmmmmiimm?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 c when two letters picked without replacement from {g: 2, m: 1, c: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 193.3 less than 0.045825835?\nAnswer: -193.254174165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -967, 5, -47, -2\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k**3 - 6*k**2 + 8*k + 27. Suppose 0 = 9*a + 98 - 53. What is the units digit of l(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00022057239 to six dps.\nAnswer: 0.000221","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*c**3*k**2*s + c**3*s**3 - 3*c**2*k**2*s**3 - 6*c**2*k*s - 4*k**2 wrt c?\nAnswer: 108*k**2*s + 6*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 386681?\nAnswer: -386686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7409 and 496?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 123\/3070 and -34\/307.\nAnswer: 3070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 + 0 + (-13 - (-99 + 91)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l - 17*l = 9*l - 90 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 5*h**2 - 6*h + 6. Give p(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(19\/5))**(26\/9) assuming m is positive.\nAnswer: m**(494\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1415.\nAnswer: 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + c + 2*c**3)*(-5 - 76 + 170)*(4*c - 3*c - 2*c).\nAnswer: -178*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxi when four letters picked without replacement from {o: 1, s: 2, n: 1, i: 1, h: 1, x: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1247163, 2494325, 3741487?\n\"Answer: 1247162*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 98, 112, 42, -118, -374, -732, -1198, -1778?\nAnswer: -2478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10643? (a) 0.4 (b) 5 (c) 22 (d) 0 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/6)\/(6\/4). Let v(c) = c**2 - 1 - 5*c + 1 - 1. Let o be v(5). Is o equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**3 - h**2 + 2*h + 3. Let t be p(3). Let q = t + -33. Is 141\/q - 2\/(-7) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-20)\/(-3) + 2\/(-3). Let g be (3*3)\/(w\/(-4)). What is the units digit of (g\/(-6))\/((-2)\/(-18))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 729121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 204668923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 10}. Give prob of picking 3 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 572, 1116, 1672, 2240, 2820, 3412?\n\"Answer: 6*x**2 + 526*x + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 1.691\nAnswer: 0.1691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25\/226 or 1?\nAnswer: 25\/226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -14. Suppose -129 = -h*n - n. Is 15 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 = 4*m - 5*n, 1843 - 1888 = -5*m - 6*n for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 23*b - 470. Let y(r) = -16*r + 470. Calculate -2*d(p) - 3*y(p).\nAnswer: -2*p**2 + 2*p - 470","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -5*b - 6 - 4, 3*m + 6 = 5*b. Let u(l) be the second derivative of b + 4*l**3 + 7*l - 8*l**2 - l**4 + 1\/10*l**5. Factor u(h).\nAnswer: 2*(h - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 6*h + 6. Let u be g(-7). Let r be (1 - 0)\/(u\/39). Let q(o) = o - 1. Let s be q(3). Sort -1, r, s in decreasing order.\nAnswer: r, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**2 - 4*m + 549. Let w(l) = -162*l**2 - 1. Calculate t(w(a)).\nAnswer: -52488*a**4 + 551","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y - 59 = 32 - 11. What is the nearest to -0.1 in -4, 3, -2\/25, y?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21266*z + 10 + 6 = 21272*z - 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2*x - 7 + 5 = 0, -19 = -3*r + 5*x. Let w = -27 - -26. What is the nearest to 2\/9 in w, 8, r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 613521.\nAnswer: 3, 31, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -3082\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -36660 divided by 3673\nAnswer: -36660\/3673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.518954 to 2 dps.\nAnswer: -0.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 356060?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*g**4 - 14*g**3 + 5*g**3 - 3*g**4 + 8 + 211*g - 17 + 7*g**3 to the form b*g**4 + v*g**3 + z*g + h*g**2 + n and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 184068623?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 58734.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h**5\/4 + 25*h**4\/2 + 15*h**3 - 85*h**2\/2 - 65*h\/4 + 30 = 0. What is h?\nAnswer: -8, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -48?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*a**2 + 32*a**2 + 50*a**2 - 6*a - 215*a**2.\nAnswer: -228*a**2 - 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 20941158 to the power of 1\/3, to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 157639?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 52 + 1 - (-16)\/4. What is the highest common divisor of 38 and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11461\/8 - 1432. Which is the nearest to 2? (a) t (b) 5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34520 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a + 3 = -6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3093222 divided by 204\nAnswer: 515537\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b - 454 = -4*r + 4*b - 654, -9*r = -b + 428 for r.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.11, 0.2, 83, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, y: 2, q: 6, x: 1}. Give prob of picking 3 m and 1 y.\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((3\/30)\/1*102\/51)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 5*d - 56. Suppose -2*g - 18 = -d*g. Factor 3*y - 3*y**2 + 0 + 278*y**g - 281*y**3 + 3.\nAnswer: -3*(y - 1)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4377 (b) -2\/9 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus 16703444?\nAnswer: 16703443.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 22574 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r + 13. Let a be z(-10). Suppose 0 = a*n + 2*n + 5. Sort n, -6, -4, -5 in decreasing order.\nAnswer: n, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.6 + -5.4. Let j = 5.95 + i. Let z = -0.15 + j. Which is the second biggest value? (a) 1\/2 (b) -2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -579 divided by -8974?\nAnswer: 579\/8974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/4 of a week?\nAnswer: 294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a week in minutes?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -1 + 3. Let s = 6 + m. Let p = -4 - -3.6. What is the smallest value in s, -5, p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-9)*-3)\/(-2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v + 15, 5*s + v = -3*v + 17 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -2*h - 92 + 64, 63*b = -4*h + 220 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 389009.5 litres?\nAnswer: 389009500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i - 13*i = 8. Suppose -2*w - i*w = -3*w. Which is the closest to -1\/4? (a) 2\/11 (b) w (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2 - 12*i - 2 + 1. List the prime factors of t(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(234)\/(-2*sqrt(6)) - sqrt(156)*5)\/(sqrt(48) + 2*sqrt(48) + 4*sqrt(3)*-1).\nAnswer: -21*sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 8*q**2 - q + 2. Suppose 19*d - 20*d = 8. Calculate c(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (24 - -8) - (-14 + 20)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/22 and ((-304)\/96)\/(8\/10).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3704 - 45465 = 5*c, -2*n - 25047 = 3*c. Let l = c + 42072\/5. Let v = 63 - l. Is v less than -0.07?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30 - -2) + (654 - 640)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of -y**3\/2 - 4*y**2 + 35*y. Give i(6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v**2 - 13*v - 9. What is the remainder when 73 is divided by z(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of 284*f**7\/7 + 227*f**4\/6 - 1173*f. Find the third derivative of p(g) wrt g.\nAnswer: 102240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from udvuuzzuvuazzzz. What is prob of picking 1 u and 3 z?\nAnswer: 20\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31.052 - 31. Round z to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 6:14 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1282 (base 9) to base 12.\nAnswer: -685","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2*-3*sqrt(171) - -3*(sqrt(304)*-1 + sqrt(304))**2).\nAnswer: -2 + 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**16*i\/i**(1\/9)*(i**(1\/4))**(3\/5) assuming i is positive.\nAnswer: i**(3067\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 456, 5, 4, -4 in increasing order.\nAnswer: -4, 4, 5, 456","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((4*-6*sqrt(441)*-1)\/(-3*sqrt(7)*2 - (sqrt(7) + (sqrt(35)*1)\/sqrt(5))))**2.\nAnswer: 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -221*g + 538*g + 5*g**2 + 10*g**2 - 279*g - 18*g**2.\nAnswer: -3*g**2 + 38*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5821 + 3087. Is 48 a factor of (-2)\/26*2 - u\/26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -73\/8, -8\/9, -0.7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101001110101101 - -1101111110011?\nAnswer: -10011011110111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lclctltttccllttt. Give prob of sequence lllt.\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 94*k**2*l**3 + 694*k**2*l - k - 123*l**4 - l**2 - 78*l wrt l.\nAnswer: 564*k**2*l - 1476*l**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15673 = 5*z + 15723 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -s**2\/2 - 2*s - 2. Let g(k) = -1. Let j(y) = -3*g(y) + i(y). What is the derivative of j(x) wrt x?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5538\/5 - 182599\/165. Let r = l - 3\/11. What is z in r*z**2 + 8\/9*z**3 - 2\/9*z + 0 = 0?\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 230*n**2*u**3 - 497*n**2*u**2 + 336*n**2 - 2*n*u**3 - 2*n - 307*u**6 - 6*u wrt u.\nAnswer: 1380*n**2 - 12*n - 36840*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of n**2*z - 790*n*z + n + 506*z - 2 wrt n?\nAnswer: 2*n*z - 790*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -3*p**2 + 31*p - 31. Let y(k) = 4*k - 39. Let a be y(12). Let v be n(a). Solve v*z = 3 - 8 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7b - 4?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fraffmmarrrffrrx. Give prob of sequence rx.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 8 = 4*m - 0, 5*n = -4*m - 8. Factor 3\/2*d**3 - 3\/4*d**2 + n + 3\/4*d**4 - 3\/2*d.\nAnswer: 3*d*(d - 1)*(d + 1)*(d + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 42808? (a) 3 (b) 5\/3 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 1\/6, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ux when two letters picked without replacement from {u: 4, x: 6}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/1293 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + 3 + 2 - 7) + -8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**(-1\/6)))\/x)\/(x**(-5\/3)\/x)*(((x\/(x\/x**(2\/5)))\/x)\/x*x)**(10\/17) assuming x is positive.\nAnswer: x**(151\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 0.3, 2, -7 in decreasing order.\nAnswer: 4, 2, 0.3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 143 - 139. Let a be ((-8)\/(-72))\/((-2)\/i). Suppose 7*j + w = 2*j - 29, 4*j - 5*w = 0. What is the second biggest value in j, a, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 313829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1244193355?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 51?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -28275104 divided by 3674?\nAnswer: -7696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 85*a**3*c**2 + a**3*c + a**2*c - 10*c**2 wrt a.\nAnswer: 510*c**2 + 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -98 + 107. What is the remainder when (-36 - -1)*2\/(-2) is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -5*r - h - 0*h, 5*h = 0. Suppose r + 95 = -7*t. What is the remainder when (-3 - t)\/(2\/10) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**2 + 169182*f - 2385212427 = 0.\nAnswer: 28197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 8) to base 16\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -237.417 to the nearest integer.\nAnswer: -237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5}. What is prob of picking 3 e?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 81 + 7*r**3 - 36*r**3 + 26*r**3 + 79 as v*r**3 + u*r**2 + w + x*r and give w.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (93492\/9646)\/((-9)\/(-39)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 10:37 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 18\/61, -4.\nAnswer: -4, -3\/4, 18\/61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 180 and 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -1771*q - 12337. What is the ten thousands digit of a(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 33, -1, 0.4, -0.04, 18, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 11*t - 10*t. Let y be (-10)\/84 + t\/(-120). Let d = 106 - 123. Sort y, d, 0 in ascending order.\nAnswer: d, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -5*c - 16. Let k be t(-9). Solve 2*l + 7 = -4*u + k, 5*l + 3*u - 20 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 110*y - 115*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -75*x**2 - x + 2. What is k(1)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 i when three letters picked without replacement from {i: 3, n: 6, z: 2, k: 3, e: 2}.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 + 31. Let b = 7 + -7. Suppose b = t - j. Solve -n = 1 - t for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52*12\/6*((-36)\/(-192)*-2)\/3?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.2*-3387.3\nAnswer: 4064.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*x - 144 = 47*x + 40*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18990789?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2. Let r(m) = -1783582*m + 2. What is r(k(c))?\nAnswer: -1783582*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 115699368 to the power of 1\/2, to the nearest integer?\nAnswer: 10756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 35282876?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5236 + 5239. Let w(k) = 3*k + 10. Let y(o) = 4*o + 11. What is q*w(j) - 2*y(j)?\nAnswer: j + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1364 is divided by 72?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1848\/(-484)*(-616)\/98\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 264482, 264481, 264480, 264479?\n\"Answer: -r + 264483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -k - 309*k**3 - 11*k - 27*k**3 - 3*k**2 wrt k?\nAnswer: -2016","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/6, -14, 1\/2, -2\/23, -7?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 785 = 9*r + 794. Let t(l) be the second derivative of -7*l**5\/20 + l**4\/12 + l**3\/6 + l + 1. What is t(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8883702?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -778\/5 - -156. Let j = 20\/3 - 6. Let t(d) = -d**3 + 5*d**2 - 2*d + 8. Let n be t(5). What is the biggest value in j, -1\/4, n, v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of z**4\/12 + 5*z**3\/6 + 3*z**2\/2 - 102*z. Let k be g(-5). Solve -47 = k*p - 32 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110881797 divided by 4\nAnswer: -110881797\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/4*7824\/103668?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(sqrt(20)\/sqrt(5)) + (sqrt(5) - (2*sqrt(40))\/sqrt(8)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -2\/11, -0.3, 0.5, 0.118 in decreasing order.\nAnswer: 0.5, 2\/9, 0.118, -2\/11, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of a*k*n*r**2 - 5*a*k*n + 38*a*k*r**3 + 33*k*n + 2*k*r**2 + 36*n*r**3 + 2*n*r - n wrt a?\nAnswer: k*n*r**2 - 5*k*n + 38*k*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 160894*p**3*w + 2960504*p**3 + p**2*w - 3*p*w + w wrt w?\nAnswer: 160894*p**3 + p**2 - 3*p + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a - 4*a + a**2 + 4*a.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7350?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 53271090 by 6.\nAnswer: 8878515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -1006240*n + 2012474. What is a(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006385 rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 113636200 rounded to the nearest one million?\nAnswer: 114000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1510023.399 + 4.277\nAnswer: 1510027.676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.10015*-3.\nAnswer: -0.30045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 3:55 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 21*a + 1. Let c be i(-1). Let x = c - -37. Suppose -5*r + x = y - 0, y = 4*r - 10. Let v(n) = n + 2. Let k(h) = 2*h + 5. Calculate r*k(t) - 8*v(t).\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**2*t**(-7) assuming t is positive.\nAnswer: t**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3*u**4 + 4)*(u + 0*u - 2*u + 4 + 2*u - 4 + (7*u - u - 4*u)*(0 + 1 + 1) + 3*u - 3*u - u + 0 - 2*u + 0 - 1 + 2*u + 1).\nAnswer: 12*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -9*p + 0*p - 5*p + 11. What are the prime factors of a(-3)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3322 is divided by 256?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 2*d - 3*d)*(4*d**2 - d**3 - 4*d**2) - 7*d + 7*d - d**4.\nAnswer: d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 - 92 - 15*p + 18*p.\nAnswer: 3*p - 130","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, l: 2, n: 1, u: 1, k: 2, q: 1}. What is prob of picking 1 c and 1 q?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1085.1? (a) 6 (b) -1\/4 (c) -0.7 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*z**4 - 8*z**4 + 11*z**4)*(1 + 1 - 3) in the form b*z**3 + h + a*z**2 + n*z**4 + k*z and give n.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -455*q + 853*q - 398*q + 1070*q**2 to the form f + l*q**2 + r*q and give l.\nAnswer: 1070","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-32)\/((-8064)\/14).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -52.06 rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3642*j**3 + 973*j**2.\nAnswer: -21852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66 and 27478.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-38)\/(-57))\/(2\/36) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*j = 142*j - 110 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16221433.\nAnswer: 16221433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15648.3 - 15648. Let r = 12\/5 - 46\/15. Suppose 5*w - 1 - 19 = 0. Which is the fourth smallest value? (a) -3\/5 (b) r (c) z (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 532304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 9*q**2 + 8*q + 1. Let b be l(-8). Let s be ((b - -4) + -1)*(-117)\/(-36). Is 11 less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 2*m + 84, 0*x = -5*x - 5. Let b = 76 + m. Is b a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, q: 2, e: 1, k: 2, u: 1, j: 2}. What is prob of sequence jukq?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + (6 - 3) + 3. Let o(y) = -y**2 - 3*y + 3. Let h be o(-3). Suppose 0*p + 6 = h*p. Solve 0 = 3*s - q*s - p*w + 2, 8 = s + 4*w for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - y - 4. Is n(3) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 16*x - 208. Does 4 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 + 0)*(-3 + 1 + 4)*(-115*m**2 + 115*m**2 + 7 + m**3).\nAnswer: 4*m**3 + 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 59 + -51. Suppose q = v - t, 5*q + 4*v + 18 - 5 = 0. Does 19 divide 18\/(-30) + (-478)\/q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/(-2)*40\/(-70)*105\/(-150)?\nAnswer: 56\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5249*t + 147*t**2 + 2608*t - 74*t**2 + 2641*t - 71*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -123, 2, -4, -2, -1 in descending order.\nAnswer: 2, -1, -2, -4, -123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (19161\/2129)\/((-9)\/29)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1000 - -10?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 6 + 7*o**2)*(-416*o + 46 + 206*o + 211*o) to k + a*o**2 + v*o**3 + p*o and give a.\nAnswer: 322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 95 + 4?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**3 - 3*t**2 - 2*t + 2. Calculate o(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2003110*h**4 + h**3 + 16472227*h**2 wrt h?\nAnswer: -48074640*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 93681 and 367289?\nAnswer: 1487","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 75 and 2200?\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7986060135?\nAnswer: 3, 5, 730321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 + (24 - 49) - -12) + -113 + -2 + -13?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32.639 + 35.639. What is the nearest to j in 0, 4\/5, 2\/7, -1?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 4*l + 15. Give s(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 6*y - 23. What is v(7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-1\/7)*l*l)\/l)\/(l**0\/l)*l**(-5)\/(l\/(l*l**(-1\/3))))**46 assuming l is positive.\nAnswer: l**(-3358\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a*l**2 + 165338*a*t + 104*l**2*t - 11*l**2 - l*t + t + 45 wrt a.\nAnswer: -l**2 + 165338*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 149074 divided by -38\nAnswer: -3923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.1 + -12. Let s = o + 0.9. Let b = 4 - 2. Put b, s, -0.4 in decreasing order.\nAnswer: b, s, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 72*c + 1741. Determine w(-91).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-1)*729\/(-27).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 1080 + 390. Let z be 32\/8 - (-2 - l). Suppose 77 = 4*b - 3*g - 74, 4*b + 4*g = z. 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 prob of sequence eee when three letters picked without replacement from eeeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1651a3 + -99?\nAnswer: 165105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 135 + -111. Let l be (8\/o)\/((-1)\/(-6)). Suppose 6*g = g + 2*d + 6, -2*g - 15 = 5*d. Solve g = l*y - y - 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -6*q + 13. Let p(j) be the second derivative of 5*j**3\/6 - 6*j**2 - 4600*j. Determine -5*p(k) - 4*u(k).\nAnswer: -k + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p. Let y(r) be the first derivative of 0*r - 1\/2*r**2 - 2. Determine k(n) + 3*y(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 676, 677, 678, 679, 680, 681?\nAnswer: 682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 5 - (-1 + (0 - 5) + -14)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 92272 divided by -5767?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 199*i**2 + i. Let l be x(1). Let w(z) = l - 200 - 14*z. Let q(y) = -3*y. What is q(w(h))?\nAnswer: 42*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 + 32 + 30 + -16 + -18?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.66 times -7.174?\nAnswer: -4.73484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**4\/7 + 8817*s**3\/7 + 52821*s**2\/7 + 79203*s\/7 + 5028 = 0. What is s?\nAnswer: -2933, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 6 = 4*b, -4 = 8*b - 39*z + 37*z. Put -10, b, 71, 4, -2 in descending order.\nAnswer: 71, 4, b, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -l + 4*a, 2*a - 10 = 38*l - 36*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - 6\/(-1*3). Suppose -4*g + i + g**4 + 4*g**2 + 1 - 4*g**3 - 3 + 2*g**2 = 0. What is g?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2892*-3248\nAnswer: -939.3216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1046240943?\nAnswer: 3, 11, 1873, 16927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12822 (base 14) to base 16.\nAnswer: -b1be","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + 12\/3 - 2*10. Let j(x) = -x**3 - 21*x**2 - 21*x + 13. Let l be j(m). Round l to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 4*k**2 + k. Let i be n(-2). Solve -22 - i = -7*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47 + -40. Find the second derivative of -2*z - 2*z + x*z + 12*z**4 + z wrt z.\nAnswer: 144*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*u - 4*u - 11*u + 2*u.\nAnswer: -35*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 75 - 54. Let i be 4 - 5*(-3)\/15*206. Suppose a + i = 3*a. Calculate the highest common factor of f and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 30 = 12. What is the units digit of (28\/y)\/((-4)\/(-6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dgkttkgtxgtgtzgg. Give prob of picking 2 t, 1 d, and 1 g.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 4325928250 to the nearest 1000000.\nAnswer: 4326000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2167020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1262 divided by 631\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**(-5)*y)**12 assuming y is positive.\nAnswer: y**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = r + 4 + 2, 14 = -r - 4*w. Suppose -r*y = -14*y + 18000. What is y rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8242 - 5399. What is the lowest common multiple of o and 6?\nAnswer: 17058","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22*k**4 - 28*k**3 - 6*k**2.\nAnswer: -2*k**2*(k + 1)*(11*k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wqwwqqqwqq. What is prob of picking 2 w?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -47896 * 4.\nAnswer: -191584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-4\/3))\/b**(-25) assuming b is positive.\nAnswer: b**(74\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of v**5\/10 - 193*v**4\/30 + 292*v**3\/15 + 148*v**2\/5 + 5405*v. Factor q(r).\nAnswer: 2*(r - 37)*(r - 2)*(5*r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -275*j + 271*j = -181612. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 25\/((-3)\/(-9)*3). Let a(s) = 8*s - 39. Let n be a(8). Calculate the highest common factor of l and n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-470*k - 176*k - 219*k)*(-2*k + 6*k + 7*k).\nAnswer: -9515*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3092838 and 5064?\nAnswer: 1266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -4269953294?\nAnswer: -4269953299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/3))**1\/(((k**(-1\/2)\/k*k)\/k*k)\/k*k\/k**5)*(k*k**(-4)*k*k*k**(-3))**38 assuming k is positive.\nAnswer: k**(-877\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*o + 14 = 0, 0*o + 64 = 4*x + 4*o. What is the units digit of (-104)\/(-18) - (-4)\/x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + 7. Let i be 24\/d*(-10)\/(-4). Suppose 0 = -t, 3*f - i*t = -2*t + 9. Is f less than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-50))\/(400\/(-2700)*27).\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.4217233 millilitres?\nAnswer: 0.0004217233","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/7)\/(1\/3). Let k = -56 + 56.1. Which is the closest to 5? (a) k (b) -5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a minute in milliseconds?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-12) + 29139\/44. Suppose 5*r - 1133 - q = 0. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 2*r - 16, -r - 13 = -4*d - 9 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8079 + 8079.4. Let a be (-1)\/((-2)\/(-4)) - -3. What is the closest to -3 in -3, d, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(75)*1)**2 + (-1*(-1 + sqrt(75)) - sqrt(75)).\nAnswer: -30*sqrt(3) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-6) - (2 - 2). Let p = 6 + 2. Let z = 6 - p. Sort b, 4\/9, z in increasing order.\nAnswer: z, b, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3260946, 13043778, 29348496, 52175100, 81523590, 117393966, 159786228?\n\"Answer: 3260943*n**2 + 3*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 4*l**2 + 3*l + 3. Suppose -a - 8 = -2*a. Suppose 0 = 6*p - 7*p + 3. Suppose 0 = 2*r + p*x + 13 + 8, r + a = -x. What is i(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**4\/7 + 74*a**3\/7 + 36*a**2 - 464*a\/7 - 640\/7 = 0.\nAnswer: -4, -1, 2, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 3*o + 5 + 5, -4*o - 3*w = 12. Let u be (-20 + -4)*4\/o. Suppose 5*x - 3*x = 10, -2*n = -4*x + u. Put 4, n, 5 in increasing order.\nAnswer: n, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15775360 and 200.\nAnswer: 78876800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p + 20 = -6*p. Let r = -73 + 161. What is the remainder when r is divided by ((-27)\/p)\/(63\/(-168))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + p - 10 = l, 4*p = -4*l + 24. Let a(t) = 6 + 5*t**2 + 0 - 5*t - 8 + l. List the prime factors of a(4).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + -56 + 32 + 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 2*x**2 + 3*x - 3. Let h be k(2). Let p be 1*-3*1*-3. What is the greatest common divisor of h and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 579648151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 105120*i - 1787329. Determine m(17).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -4. Suppose 3*w - 3 - p = 0. Solve -k = -2*b - 1, -2*k + b + b = w for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34 by -65599.\nAnswer: -34\/65599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 5*u**3 + 3*u**2 + 3*u - 28. Let d(s) = -3*s**3 - 2*s**2 - 2*s + 28. Give -3*d(c) - 2*x(c).\nAnswer: -c**3 - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30.875 + -31.175. Let p = -1895\/12 - -158. Which is the smallest value? (a) 0.2 (b) p (c) -25 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.3 and -7894713 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2413 + 9655 - 2411 - 2414 - 2417 - 4*u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-6*-3*sqrt(1700) - (1 + sqrt(1700) + sqrt(1700))*6)**2*3.\nAnswer: -10800*sqrt(17) + 918540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 2:55 AM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (189\/210)\/(39\/(-26)). Which is the second smallest value? (a) 14.8 (b) -0.1 (c) -1 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + 4. Let r be j(0). Which is the second biggest value? (a) -1\/3 (b) -5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((72\/(-21))\/6)\/(20\/(-14))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*q = 0, -3*u + 0*u - q + 22 = 0. Suppose 2871 = o + u*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -0*o. Let b(w) = -2*w**3 - 7*w**2 + 9. Let v(z) = -3*z**3 - 10*z**2 + 13. Let m(t) = -7*b(t) + 5*v(t). Is m(o) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence upm when three letters picked without replacement from {p: 3, l: 3, u: 1, b: 7, m: 4}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 4*r**2 + 4. Let d be t(4). Let b(v) = v + 4. Let s be b(1). Let q(x) = 0*x - 7*x + s + 2*x + 4*x. Give q(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -181.25 + 180.25. Which is the closest to y? (a) 2\/11 (b) -350 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105308*v = -105313*v - 4*y + 100, -16*y = -2*v - 48 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 5*l + 22, 16*y - 17*y + 14 = -5*l for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4278 divided by -1426\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -3*u + 25 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20709 = -15*z + 782*z for z.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 7. Suppose -7*t = -f*t + 400. Find the common denominator of 29\/4 and 5\/t*(-1 - 82).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 540208 divided by -152\nAnswer: -3554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 22, 36, 56, 82, 114, 152?\nAnswer: 196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 597535 is divided by 218.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1185400 rounded to the nearest ten thousand?\nAnswer: -1190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 1 + 36 + (3 - 18) + -42?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 580.3 and 1.6190086?\nAnswer: 578.6809914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-84)\/(-54))\/(50\/(-225))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4027.\nAnswer: 4027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1545267*p**3 - 1787345*p wrt p.\nAnswer: -9271602*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18046207*h**2*y**6 - 72777387*h**2*y**2 - 2*h**2 - 7*y**4 wrt y?\nAnswer: 2165544840*h**2*y**3 - 168*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1700824497118.3 and -3?\nAnswer: 1700824497115.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -148 - -155. Solve 11*p = r*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 9}. What is prob of sequence bb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 407*x + 143. Let a(w) = -17*w - 6. Suppose 6*y - 10*y = -2*u + 298, -4*u + 4*y + 584 = 0. What is u*a(p) + 6*f(p)?\nAnswer: 11*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 164*q**3 + 6*q**2 - 20*q + 55. List the prime factors of d(3).\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 11*i**2 + 11*i + 12. Let k be u(12). Suppose k*a = 2*a - 4. Let x = a - -5. Solve -5*d - 18 = x for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3809684 is divided by 71880?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 3 + 0)*(-t**2 - 11*t**2 + 10*t**2)*(13 + 51 + 6)*(0 + 1 + 0) as s*t**2 + q + d*t and give s.\nAnswer: 700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 9*x**2 - 5*x + 1. Let f(y) = -y + 1. Suppose 4*s + 2*g = 4, 1001*g - 4 = -4*s + 998*g. Give s*z(d) - 4*f(d).\nAnswer: 9*d**2 - d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.400896 rounded to 1 decimal place?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (901 + 21*b**3 - 901)*(-1 + 1 + b**2).\nAnswer: 21*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3402239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(1 - 2))\/((-5)\/15).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27946?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8069?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 989 and -5.\nAnswer: -4945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wkwa when four letters picked without replacement from akwwkww.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - d**2 - 7*d + 1. Let u(h) = -2*h**3 - 2*h**2 - 13*h + 2. Calculate -6*u(z) + 10*w(z).\nAnswer: 2*z**3 + 2*z**2 + 8*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127355*p + 127355*p - 7*p**3.\nAnswer: -7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 4 (b) 2\/5 (c) -11093 (d) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*s - 102*s + 19*s + 20*s - 22*s + 1 + 0 + (-4 - 5 + 3)*(-7*s + 2*s + 2*s) - s + 4*s - 2*s to o*s + a and give o.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*x + 4*o = 30*x + 13869, 55463 = 4*x + 3*o. List the prime factors of x.\nAnswer: 5, 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1719 and 1053365.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 6*s + 2. Let g be j(6). Is 10\/(-15)*(-267)\/g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r - 1. Let s(q) = 30*q**2 - 2*q + 3. Let a(w) = s(w) + 4*x(w). Let j be a(1). Let d = j - 47. What is d rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/11941 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15470242?\nAnswer: 2, 7735121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1397797697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = p, -20 = 2*p + 4*x - 22. What is the second derivative of -97*t**p + 97*t**3 - 116*t**5 + 64*t wrt t?\nAnswer: -2320*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3555 divided by 711\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 6780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 54*r**3 - 5*r**2 - 5*r. Let q(l) = 539*l**3 - 49*l**2 - 49*l. Determine -49*o(b) + 5*q(b).\nAnswer: 49*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -27768518864 - -0.06\nAnswer: -27768518863.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + 17. Let n(u) be the third derivative of 0*u**4 - 1\/40*u**6 - 3*u**2 + 0*u + 0*u**y - 1\/30*u**5 + 0. Find the third derivative of n(w) wrt w.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 4\/13, 2, -6629\/24?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26469185?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5335 and 782836560.\nAnswer: 5335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(77)*1 - (sqrt(77) + sqrt(77)*-1)*-4)*-3)\/(1*1*sqrt(176)*5).\nAnswer: -3*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (24726\/8970 - (-2)\/46)?\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wvxxvxqxlvvvxlvxv. Give prob of sequence xxw.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 3:53 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 737522517 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 23*n**3 - 5*n**2 - 6*n. Let k(p) = 2*p**3 - p**2 - p. Calculate -c(d) + 6*k(d).\nAnswer: -11*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-2356)\/720 - 9\/(405\/(-10)).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((3*sqrt(400)*1 - sqrt(400))\/(4*-6*sqrt(16)\/sqrt(2)))**2.\nAnswer: -119\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2872.8 + 2873. What is the closest to -20 in 0, -1.3, k, 1?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one quarter of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of 3*z**5\/5 - 9*z**4\/4 + 3*z**3 - 3*z**2\/2 - 32. Factor l(x).\nAnswer: 3*x*(x - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36589263 divided by 8909?\nAnswer: 4107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47 + 47.1. Let u = -348\/25 - -14. Put -3, u, -8, m in decreasing order.\nAnswer: m, u, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21*(3 - (-2 - -7))\/6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/4 - 4\/(-2). Let j be v\/3 + 3\/(18\/(-226)). Let b be (-120)\/20 - 33\/1. Which is greater: b or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o**(-18)*o)\/o))\/((o*o**(-2\/17))\/o*o))\/(o\/((o\/(o*o\/o**0)*o)\/o))**(-49) assuming o is positive.\nAnswer: o**(1974\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 2392102?\nAnswer: 7176306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.07, 4, -2 in increasing order.\nAnswer: -2, 0.07, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 20*b**5 - 760*b**4 - 9775*b**3 + 62975*b**2 - 55270*b + 13160 = 0.\nAnswer: -14, 1\/2, 4, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -304 + 4 = -10*r. Let a be ((-4)\/5)\/(r\/(-75)). Solve 2*t - a*w + 1 = -w, t = w for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 407\/1490 - -4\/149. Let z = -427\/5 - -87. What is the common denominator of t and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 4*w. Let q be t(2). Suppose q*i + 3 = 5*i. Let z = 6 + i. What is the greatest common divisor of z and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u + 9. Let b(j) = j - 3. Let s be 10 + -13 + -1 + 8. Let f = 1221 - 1210. Determine f*b(h) + s*g(h).\nAnswer: 3*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1288 and 20?\nAnswer: 6440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + 45. Suppose -r + 2*z = -4*r + l, -4*z - 32 = -2*r. Let m be -2 - (-11 - 0\/(-1)). Calculate the highest common divisor of r and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w + 13. Let d be f(14). Let b(p) = -21300000*p. Let g be b(d). What is g rounded to the nearest one million?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 144 = 44. Let j = 17 + x. Which is the second smallest value? (a) 0.5 (b) 3\/4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2392*n - 2357*n + 630 for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, -1, -5, -0.01, 18?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 6 + (-1 + 2 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12766*h + 12764*h + 5*l + 54 = 0, 9 = -h - 2*l for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1811956166 rounded to 2 decimal places?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -360281, -360101, -359921, -359741?\n\"Answer: 180*m - 360461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 11:43 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 2 - -4 - (2 + 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of i**4\/48 - 18*i. Solve g(o) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101784671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 2*g**4\/5 + 262*g**3\/5 + 8444*g**2\/5 - 1848*g - 17424\/5 = 0.\nAnswer: -66, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 5*v**2 + 1. Let f be o(-1). Suppose -3*z - f = -18. Solve -z*h + 3*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**3\/3 - 451352*w**2\/3 + 3911508*w - 7221216 = 0. What is w?\nAnswer: 2, 24, 451326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, d: 4, e: 1, h: 3, o: 7}. Give prob of picking 1 e and 3 o.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r**2. Let a(v) = -13*v - 10*v - 6*v + 38*v. Determine w(a(t)).\nAnswer: -243*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7029660?\nAnswer: 2, 3, 5, 11, 10651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87 + 94 - 264*w**2 - 42 + 35.\nAnswer: -264*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.779763 days in microseconds?\nAnswer: 672171523200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -3\/4186?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 143, 290, 437?\nAnswer: 584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-4*(((3 + 4*sqrt(1088) - -1*sqrt(1088)*1) + -5)*3)**2.\nAnswer: -4896720 + 28800*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-6))\/(-1)*(-291 + 756405\/2925).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1014.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 851?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 56.4 - 18.4. Let t = z + -38.2. Let u = -3\/28 + 6\/7. Which is the closest to t? (a) -1\/3 (b) u (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.02 <= 0.05562?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1031993491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 10972*q**2. Let i(t) = 2*t**2. Calculate i(z(a)).\nAnswer: 240769568*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1092 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, q: 1, o: 4, e: 2}. What is prob of picking 1 u and 1 q?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2121 + 2123. Solve k*m + 4*q = -7 + 1, -19 = -3*m + q for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*u**2*x - 3*u**2 - 1986*u*x - 6*u + 197 with respect to x.\nAnswer: 2*u**2 - 1986*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2703 - -2707. Which is the nearest to m? (a) -1 (b) 0 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2 + sqrt(1088) - 1*(sqrt(17) + -2))**2.\nAnswer: -4165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -71*w. Let v(c) = 69*c. Let s(h) = -5*j(h) - 4*v(h). Let p(t) = 8*t - 3. Let o(d) = -23*d + 8. Let z(b) = 3*o(b) + 8*p(b). Calculate s(z(m)).\nAnswer: -395*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 19) + 10 + (-7 + 12 - 0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6060662 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2724.09 times 0.07?\nAnswer: -190.6863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5671 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.1 + -5.1. Suppose 8 = -5*y - 2. What is the third biggest value in b, 0.3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11233 (base 4) to base 15\nAnswer: -197","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91, -187, -351, -589, -907?\nAnswer: -1311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + h = 5*o + 35, 2*o - 14 = 4*h. Let s be 3 - 14*(o - -2). Suppose 3*g - s + 2 = 0. Solve b - g*b + 5*a - 33 = 0, -2*b = -3*a + 19 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 54*w**2. Let a be g(-1). Let j be (-75)\/a + 4\/18. Let k = 2\/3 + j. Which is smaller: k or 1\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -84379 >= -84379?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25 + 5?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6616\/(-10)*(-45)\/(-18). What is the hundreds digit of (36 - 32)\/((-8)\/b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from frfrnnnnfff?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - 9*h + 7. Let t be w(-9). Suppose -8 = 9*r - t*r. Is -17\/4 != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(931))*-2)**2.\nAnswer: 56*sqrt(19) + 3728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -55 - -15. Let n = 119 + m. Suppose 2*h + 5*g = n, -121 = -3*h - 0*h - 5*g. Is h a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 4)*(-k - 1 + 1) + 5*k + 12 - 12.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -99 + 98.52. Let u = g - -0.494. What is u rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 8, -317 in descending order.\nAnswer: 14, 8, -317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttuupp. Give prob of picking 1 p and 1 t.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 112\/18 + 10\/(-45). Let m be (-4)\/((-5)\/(75\/v)). List the prime factors of (m + -2)\/((-3)\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3479ce (base 16) in base 10?\nAnswer: 3439054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -808*w = 117*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) -2\/3 (c) 1.4959 (d) -7 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 93*k**2 - k. Let p(s) = 2*s. Give a(p(x)).\nAnswer: 372*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2*h = -10. Let p = 113 + -97. What is the greatest common factor of h and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**4 + 632*b**3 + 24260*b**2 - 50432*b + 25536 = 0 for b.\nAnswer: -84, -76, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -27.249 and -86323735.\nAnswer: -86323762.249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 y when two letters picked without replacement from {y: 1, a: 1, r: 1, o: 1, u: 2, z: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/123 and 68\/285?\nAnswer: 11685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -5*x - 14429 - 538, 20 = 4*x. Find y, given that -7245*y**2 + f*y**4 - 7494*y**4 + 3741*y**4 + 44965*y + 335*y**3 + 121670 = 0.\nAnswer: -2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.712101ms to minutes.\nAnswer: 0.00016186835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*m - 78*m + 92*m + 70*m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a century?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(((f\/f**(2\/99))\/f)\/f)*f\/(f*f\/f**(-3))*f**(-1\/13)*f*f**(5\/11)\/f)**(-47) assuming f is positive.\nAnswer: f**(96914\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -8*b - 1. Let z(k) = -k + 10. Let p(a) = a - 12. Let t(x) = 5*p(x) + 6*z(x). Calculate t(n(s)).\nAnswer: 8*s + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 4*f**4 + 150*f**3 + 198*f**2 - 15158*f - 15210 = 0.\nAnswer: -65\/2, -13, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1331 is divided by 138.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 73*b*t**4 + 6*b*t + 196*b - 2*t**5 - 4*t**3 - t wrt t.\nAnswer: 876*b*t**2 - 40*t**3 - 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 5*k - 6 = 0, -23 = 3*s + 2*k - 8 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5205 (base 7) to base 4\nAnswer: -130122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, s: 5, h: 3}. Give prob of picking 1 h, 2 s, and 1 e.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -64*i**3 - 2*i + 1. Is m(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 - (34 - 21)) + 1 + 0\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -2) + (7 - 4) + (-17 - -2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -1730*c**2 + 1731*c**2 - 2 - 11 - 3 + 0. Let p(i) = 5*i. Calculate p(v(g)).\nAnswer: 5*g**2 - 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q + 8. What are the prime factors of s(6)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -t - 11, 0*f = -f - 5*t - 3. What is the third derivative of 3*a**2 - 2*a**f + a**2 + a**5 - 4*a**5 wrt a?\nAnswer: -180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -32, -31, -30, -29?\n\"Answer: f - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 106012602 to the nearest integer?\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 29 = 3*m - 4*w, 145 = 5*m + 3*w. Let q = 26 - m. Which is bigger: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 6:39 AM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10038 and 132?\nAnswer: 220836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 100471439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.87174416 rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -9811 (base 11) in base 9?\nAnswer: -18688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 4*t + 18, 7*k - 2*k - t = 90. Let r = k + -18. What is the second derivative of 2*z**4 + z + r*z**4 - 4*z**4 wrt z?\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 1237389*l - 10. What is c(0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2041 + -2039. Let m(o) = 3*o**2 + o + 1. Let a be m(-1). Suppose a*p - r*f - 37 = -3*f, f = -5*p + 63. What is the remainder when 24 is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2290\/13 - -176. What is the nearest to m in -2, 0, 1\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*n - 60*n = -72 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 204205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 661835 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -0.033, 0.3, 2 in decreasing order.\nAnswer: 3, 2, 0.3, -0.033, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4535 or 4536?\nAnswer: 4535","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 15 = 1. Suppose -3*s + 54 = 5*g, 0 = 2*s - 2*g - 0*g - 36. Solve -4*f = -5*u - t, 4*f + 3*u - s = -0*u for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -4*b**3 - 27*b**2 - 2*b + 55. Calculate w(-6).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 16 = 52. Let p be 852\/c + 8\/(-6). Let l be (-6)\/(-14) - p\/42. Put -3\/2, l, 0.3 in descending order.\nAnswer: 0.3, l, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3009)\/(-2142) + 6\/(-4))*-7. Which is the closest to 0? (a) 0.3 (b) f (c) -0.6 (d) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/209 in 0.2, -854, 25\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 12*w - 12. Let t(k) = -8018*k + 11 - 8003*k + 16010*k. What is -7*t(p) - 6*v(p)?\nAnswer: 5*p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 634, 365, 100, -161, -418, -671, -920?\n\"Answer: 2*a**2 - 275*a + 907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -2*f**3\/13 + 102*f**2\/13 + 434*f\/13 + 330\/13 = 0.\nAnswer: -3, -1, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 119083729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 9 = -23. What is the least common multiple of k and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/8 - 1687738\/(-4). Let r = n - 2321936. What is r rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 67.01423 centuries?\nAnswer: 80417.076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uh when two letters picked without replacement from wwzhuis.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/5238 and -17\/444?\nAnswer: 387612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - v + 3*a = 4, 5*a - 5 = -5*v. Let g be (-12628)\/126 - (-4)\/18. Let z be g\/132 - 4\/(-6). Which is smaller: z or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-67 - (-1 - -2)) + (-80 - -17) + 56.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 12:13 PM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -84815.5 + 84815. Let b be (-2 - -10)\/2 + -2. Sort a, -0.6, b, -2 in increasing order.\nAnswer: -2, -0.6, a, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 105118*a - 4835438. Calculate x(46).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b86a7 + -8?\nAnswer: -b86b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -4*g - 1\/20*g**5 + 3*g**2 - 1\/2*g**3 + 5\/12*g**4 + 0. Is a(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82797577887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**14*d**(-3)\/d*((d*d**3*d)\/d)**(5\/7) assuming d is positive.\nAnswer: d**(97\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -4\/47007?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(950*t**3 - 950*t**3 - 426*t**4 + (-3*t + 3*t + t**2)*(-3*t - 2*t**2 + 3*t)).\nAnswer: -856*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 51\/4 of a gram?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 0) + (6 - 2). Suppose 0*r + q*r + 15 = -h, 20 = 5*h + r. Let p be (-21)\/14*(-8)\/18*-6. Sort 0, p, h in descending order.\nAnswer: h, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108713600 divided by 128200.\nAnswer: 848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of 23*f**7\/210 + f**4\/2 + 14*f**2. Find the second derivative of r(w) wrt w.\nAnswer: 276*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -296, 41, 606, 1399, 2420, 3669, 5146?\nAnswer: 6851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 12. Solve -n + 3 = 3*u - 2*b, -2*b = -u - 6 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 141298873?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2137227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 50*b - 46*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202021 - 0?\nAnswer: -202021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 824 is divided by 49?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, 2\/11, -8796.1, -3, 2 in decreasing order.\nAnswer: 2, 2\/11, 0.01, -3, -8796.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(484) - (sqrt(484) + 4*sqrt(484) - sqrt(484)))\/(sqrt(200)\/sqrt(4)).\nAnswer: -33*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*v - 223*v - 71*v - 192*v + 2*v**2 + 150*v as y + m*v**2 + i*v and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-13)\/(65\/(-1700)) - -2. Let z = j + -294. What is the highest common factor of 42 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1198328413 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 0, -7, -14, -21?\n\"Answer: -7*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43*c*l**6 - 14*c*l**2 - 9*c + 1517*l**6 + 34*l wrt l.\nAnswer: 5160*c*l**3 + 182040*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 25176601 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 2431810 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 19. Let l be 3302\/(-4572) - 1\/(-2 + 0). Sort s, 1, l in decreasing order.\nAnswer: 1, s, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -403, -400, -395, -388, -379, -368?\nAnswer: -355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -10*l**2 - 2*l. Let n(r) be the first derivative of r**3 - 253. Determine d(n(z)).\nAnswer: -90*z**4 - 6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssstsssstssttsttstst. What is prob of sequence ss?\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8 + 4)\/(-1) + 1091. Suppose 6*q = 1287 + x. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -466, -473, -484, -499, -518?\n\"Answer: -2*t**2 - t - 463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -36? (a) 0 (b) 12720 (c) 4\/11 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {v: 1, m: 1, j: 5, h: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + 75\/(-21) - 195\/(-182). What is the third biggest value in s, 43, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76, 59, 34, 1?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 - 1)*(3 + 3 - 13)*(0*y - 2*y + 0*y) - 5*y + 9*y - 8*y as m + g*y and give g.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 2:17 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*k**4 + 81*k**3 - 957*k**2 + 234*k.\nAnswer: 3*k*(k - 6)*(k + 13)*(4*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaxxxaxxgxagx. What is prob of picking 2 a?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 6*c + 9. What is the least common multiple of u(-4) and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46407?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1752)\/292*(2*1)\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*w - 2*w**5 + 4*w**2 + 3*w + 6*w - 4*w**4.\nAnswer: -2*w*(w - 1)*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*o + 6 = 16*o - 19*o - m + 68, -7*o + 3*m = -3*o - 4 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2303 - -150?\nAnswer: 2453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 40*b - 1. Let i(k) = k - 1. Let o(a) = 4*i(a) - l(a). Let p be o(1). Let x = p + 82. Is 22 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 62 + 53 = 0. Put u, -1, -5 in descending order.\nAnswer: u, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -686.9 plus -46792?\nAnswer: -47478.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by 2141.\nAnswer: -28\/2141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**2 + 9*k + 9. Let d = -1317 + 1323. What is y(d)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 278791*f**2*g**3 + 98*f**2*g - 18262*f**2 - 3*f*g**4 wrt g.\nAnswer: 1672746*f**2*g - 36*f*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.95 + 0.05. Let j = 2 + u. Which is the third biggest value? (a) -5 (b) 2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**2 - j + 4. Let f be v(-2). Let n = f - -10. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -70 - -74. Suppose z*x + 3*d = 4*d + 21, x = 2*d. Solve 3*j - 10 = 4*s, 0 = 2*s - j + x - 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**3 - 4*r**2 - 9*r - 4. Let b(p) = p**3 + 3*p**2 + 2*p + 1. Let n = 4 - 7. Let z be b(n). Is l(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00038805 to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 90304.82 milligrams?\nAnswer: 0.09030482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*g = -26, 4*c - 54 = 5*g - 11. Suppose -1 - c = -4*x. Factor 1\/3*l**3 + 1\/3 - 1\/3*l**x - 1\/3*l.\nAnswer: (l - 1)**2*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/(114\/36) + -2 + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6700\/8 - 10\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 93 - 93. Let n(q) be the third derivative of 0*q - 1\/210*q**7 + 2*q**2 + 1\/6*q**3 - 1\/60*q**6 + l + 1\/12*q**4 + 0*q**5. Suppose n(f) = 0. What is f?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-5 - (-1 - 10)) - 3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 817553513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 6:57 PM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + -2 + -3 + sqrt(2)*-1 + -3 - (sqrt(32) + 0 + 4))*6.\nAnswer: -72 - 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2001131 (base 4) in base 14?\nAnswer: 303b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 470 divide 2333338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -568679, -568678, -568677, -568676, -568675?\nAnswer: -568674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, w: 1, h: 1, c: 1, q: 1}. Give prob of sequence qwl.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 19 = -5*v. Suppose -5*i + c = 0, 3*c - 6*c = v*i - 19. Which is bigger: i or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 87973*w. Let j(h) = 7*h. What is j(o(m))?\nAnswer: 615811*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 34260 less than or equal to 34260?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 132 and 1914.\nAnswer: 3828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 2 (c) 46.3 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.902057 and -0.1?\nAnswer: -0.0902057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1718.486um?\nAnswer: 1718486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 3*h - 39, -2*q + 44 = -5*h - 1. List the prime factors of q.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21447?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 569882, 1139761, 1709642, 2279525, 2849410, 3419297, 3989186?\nAnswer: 4559077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*j**2 + 26*j**2 - 8*j**2 - 7*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v*v**(-4\/11)))**(1\/9)*(v\/v**(-5\/4))\/v**(-7) assuming v is positive.\nAnswer: v**(1241\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 739, 1474, 2207, 2938, 3667, 4394, 5119?\nAnswer: 5842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1356 - 1335. Calculate the highest common factor of 9 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4*(-4)\/(-72) + (-12 - 13055\/(-1071)). Which is the nearest to 2\/3? (a) l (b) 2 (c) -1\/6 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + -2 + sqrt(3))**2*-2 - (sqrt(36)*-3 + sqrt(36))\/sqrt(12) - (5 + 6*(sqrt(243) + 0 + sqrt(243))**2).\nAnswer: -5869 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 1 + 1)*(0*b - b + 3*b)*(-4*b + 5*b - 2*b).\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-988)\/(-715))\/19*(-176)\/(-96)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 + -135 + 82 - (38 - 0).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -6*m**3 - 6*m**2 - 4*m - 2. Let y be p(-2). Let c(f) = -f**3 + 2*f**2 + 5*f - 1. Let r be c(-4). What is the highest common divisor of r and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -99?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/(-19) - (-3810)\/95.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -2*h + 6025, -3*h - 5*r + 3032 = -2*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1404990515 to the nearest integer?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/15, 0.1, -1, -19, 0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + j - 5. Let s be n(0). Let b be 2\/(-6) + (-50)\/(-6). Let v = b + s. Solve 0*u - 15 = v*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 52.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184 = 34*l - 258. Calculate the greatest common divisor of 4 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of 2*f**3 + 9*f**2\/2 - 8. Find the second derivative of o(v) wrt v.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w + 2. Let o(q) = q**2 + 5*q - 6. Let v be o(-6). Let l be c(v). Let 1 + 5*b**2 - 2*b**l - 4*b**2 = 0. What is b?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2351 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4877703?\nAnswer: 3, 541967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -7. Let k = 16 - -8. Calculate the highest common divisor of q and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x*x\/(x*x*x**(-2\/15)*x)))*x**2\/x*x)**(-2\/9)\/((x**(1\/2))**(-1\/4)*((x*x**(2\/9))\/x)\/(x**4*x*x)) assuming x is positive.\nAnswer: x**(6103\/1080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/(1*sqrt(32)) + 0 + -1 + 5 + (sqrt(117) + 0 + 2)*6)**2.\nAnswer: 592*sqrt(13) + 18821\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.1663002 times 1\nAnswer: 0.1663002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -1507, 10 in decreasing order.\nAnswer: 10, -10, -1507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1424 and 93628.\nAnswer: 374512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2. Let l(r) be the first derivative of -65\/2*r**2 - 52 + 2*r. Calculate l(s(n)).\nAnswer: 65*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1602063217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-70))\/((-24)\/150).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + 13 + -5 - -1) + (-5 - 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -1.59.\nAnswer: 0.318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.447778 kilograms to milligrams.\nAnswer: 2447778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*s - 8 = 0, -4*o - 10 = 18*s - 23*s. Which is smaller: o or 5\/79?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1222 + -3665\/3. Let v be (-3)\/(-9) + (-14)\/24. Which is smaller: z or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + -1. Let o be 0 + 2 + 4\/v. What is the closest to 0 in -2, -0.3, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c = 2*g - 18*c + 19, 2*c = 2. Find the common denominator of (-2 - (-9)\/g)\/(8\/(-12)) and -119\/40.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13195.468 + 13239. What is n rounded to 1 decimal place?\nAnswer: 43.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (h - 6*h + 3*h)*(-3*h**2 + 4*h**2 + 4*h**2) + 9*h - 2*h**3 - 5*h - 7*h as c*h**3 + d*h + w + i*h**2 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a gram in milligrams?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 860 + 23*p + 4439 + 304 - 61*p.\nAnswer: -38*p + 5603","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 380*n + 349228. Calculate w(-919).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/(-21))\/((-238)\/(-357)))\/((-4)\/21).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -5 + 1\/4*k**2 + 1\/12*k**3 - 3\/4*k. Factor v(q).\nAnswer: (q - 1)*(q + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d. Let b(p) = 18755*p - 1694. Let k(o) = -133*o + 12. Let c(z) = -6*b(z) - 847*k(z). Calculate c(f(q)).\nAnswer: 363*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8996, -36000, -81008, -144020, -225036?\nAnswer: -324056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 808, 713, 612, 505, 392?\nAnswer: 273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -430979, -1724054, -3879207, -6896432, -10775723, -15517074, -21120479?\nAnswer: -27585932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3 = z, 5*z - 14 = -3*m - 1. Let v(u) = 8*u**2 + 3*u - 3. Give v(z).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 521 + -106. List the prime factors of l.\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-160 + 160 + 35*x + x - 1 + 1 + (1 + 0 + 1)*(5*x - 3*x - 3*x))*(2 - 2 + x**3).\nAnswer: 34*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/686 and -59\/10.\nAnswer: 3430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/30 - (1 + 921\/(-495)). What is s in -2\/11*s**2 - j - 8\/11*s = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - ((3 - -6) + -9)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*d - 18270 = -381*d - 147*d for d.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.5 (b) 1076 (c) 5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 22*j**2 + 27*j - 21. Calculate v(-4).\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 28 times 25140350\nAnswer: 703929800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 3, r: 5}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 402310133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15542 + 340?\nAnswer: 20322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -212*k + 44*k + 62*k + 47*k + 16*k + 46*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-33)\/12)\/(1\/4). Let a = -7807 + 7794. Which is smaller: j or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 6) in base 13?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 10 - 7)*(-20 - 7*p + 3 + 4).\nAnswer: 84*p + 156","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 598 + 319. What are the prime factors of d?\nAnswer: 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k = -31 - 24. Factor -710 + 2*r + 2*r**k - 2*r**4 + 1419 + 4*r**2 - 711 - 4*r**3.\nAnswer: 2*(r - 1)**3*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*g**2*h**3*t - 55*g**2*h**3 + g**2*h**2 - g**2*h - 4*h**3*t wrt t.\nAnswer: -10*g**2*h**3 - 4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1794 + 1365 = 39*a for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22445*h - 7483*h - 7463*h - 7484*h + 0 + 18.\nAnswer: 15*h + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 887*r**2 + 157*r + 331. Is j(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 8:29 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 5, 3 in descending order.\nAnswer: 16, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1799 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: Let h(s) = 63999*s**2 + s + 2. Let t be (-2 - 0) + (3 - 2). Let o be h(t). What is o rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003518871319 rounded to seven decimal places?\nAnswer: -0.0035189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m**2. Suppose -3*d - 2*w = -3*w - 11, -2*d - 2*w = -10. Let p(k) = d*k + 0 - 2*k + 0. Calculate p(i(r)).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wgg when three letters picked without replacement from {g: 2, w: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004067 to 7 dps.\nAnswer: -0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64 and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*t**6 + 1275*t**4 - 844*t**2 wrt t?\nAnswer: 360*t**3 + 30600*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3958 is divided by 770.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: Evaluate 18 - ((-843)\/(-2529) - (-2)\/(-156)*-1354).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 33.505 to one decimal place.\nAnswer: 33.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2717)\/44*-17 + (-6)\/8 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181569211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*b - 42*b - 76*b - 2*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r - 96879 - 96900 + 0*r + 16*r**2 - 96884 + 290663.\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/277165 at most as big as 5\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 26 = -5*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 100080 divided by -6\nAnswer: -16680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1131 - -21443030?\nAnswer: 21444211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of 2\/3*s**3 + 4*s - 1\/4*s**4 - 1\/2*s**2 + 0. Factor m(t).\nAnswer: -(t - 1)*(3*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from tjhthwitjtjijsi.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + p + 27. Calculate the remainder when 107 is divided by p.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -30*q**3 + 35*q - 35. Let y(a) be the second derivative of -a**5\/4 + a**3 - 3*a**2 - 29*a. Let h = 14 + 21. Calculate h*y(b) - 6*z(b).\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 6401*s - 396867. Determine c(62).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1488 or 1494?\nAnswer: 1488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + 74. What is i rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17152448 and 66400.\nAnswer: 2656","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z + 2*l - 830 + 821, 5*l = 3*z + 18 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-5) + ((-1520)\/25)\/(-2). Suppose 1172 = -26*l + i*l. List the prime factors of l.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/17 (b) -63 (c) -2\/5 (d) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 157\/(1518936\/(-151896) - -10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-228)\/950)\/((-264)\/165).\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5049 - -9329. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 - 17*s - 10. Let a be b(-11). Suppose 3*o - a - 34 = 0. What is the third derivative of o*g**2 - 102*g + 28*g**5 + 102*g wrt g?\nAnswer: 1680*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/5 of a kilogram in grams?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((544\/(-1275))\/((-2)\/(-9)))\/((-18)\/20). Put 0, f, 2\/3, -4, 0.4 in increasing order.\nAnswer: -4, 0, 0.4, 2\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of 16*a**3\/3 + 23*a**2\/2 - 18*a. What is the first derivative of w(x) wrt x?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 10:10 PM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5*p + 205 = 3*k, 2*k - 66 = -2*p. What is the remainder when k is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.5 * 0.036\nAnswer: 0.162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 85 = 4*x, 2*t + 60 = 4*t + x. Suppose 5*u - u = 208. Let z = u - t. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15*k**4 - 25*k**3 - 549*k + 3459431 wrt k.\nAnswer: 60*k**3 - 75*k**2 - 549","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*n**3*r - 15*n**3 + 79*n**2*r**2 wrt r.\nAnswer: 2*n**3 + 158*n**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l = 2*l - 50 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211 is divided by 52.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**2 - 21*u. Let x(n) = n**2 + 2*n + 4. Let m(w) = -4*w**2 - 9*w - 18. Let g(t) = -2*m(t) - 9*x(t). Give z(g(c)).\nAnswer: -2*c**4 + 21*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pbbfbebbbfe. What is prob of sequence pffp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -196 + 460. Let v = z - 196. Is v a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*s + 67*s = -22*s - 80 - 389 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72189 is divided by 547?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -12.2345.\nAnswer: -15.2345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80, -80, -92, -122, -176, -260, -380?\nAnswer: -542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-4) - (-954)\/36. Solve -4*a = -4*c + k, 5*a + 22 - 2 = 2*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of x**5\/15 + x**4\/12 - 4*x**3\/3 - 5*x**2\/2 + 7*x. Let p(c) be the first derivative of u(c). Is p(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 19\/(-28) - (-4)\/16. What is the second smallest value in -2, j, -0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 0*j - 8*j)*((-j**4 - 4*j**2 + 10*j**2 - 7*j**2)*(3 - 5 - 7) + (j**2 + 6*j**2 - j**2)*(-j + j - j**2)).\nAnswer: -27*j**5 - 81*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.0511 + -0.152.\nAnswer: 7.8991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -73 (b) -1\/8 (c) 8.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-27) + 55948\/7092.\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**2 + 5*p**3 - 8*p - p**3 + 2*p**3 - 8*p**3. Let j(r) = -4*r**3 + 5*r**2 - 16*r. Let o(z) = -11*c(z) + 6*j(z). Factor o(t).\nAnswer: -2*t*(t - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2364 and 1314.\nAnswer: 517716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 18*j - 21*j = -127, 4*w + 4*j - 124 = 0. Calculate the highest common factor of 544 and w.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence es when two letters picked without replacement from kleskckksllkelk.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + w - 2. Let k be r(-2). Suppose -2 = k*o + m, 4*o + 0 + 6 = -3*m. Let t = 11 - o. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0515 less than 0?\nAnswer: 0.0515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 15 = -0*s. Suppose -3*k + 2*t = 17, 3*k - 2*t = -3*t - 14. Put k, 2, s in decreasing order.\nAnswer: s, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.52 + 24.48. Let d = h - 19. Put 3\/7, d, -0.5 in decreasing order.\nAnswer: d, 3\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -241 (base 8) in base 3?\nAnswer: -12222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 178 + -142. Does 21 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*w + 62681 - 127874 + 61419 = 0 for w.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14334017 to the power of 1\/4, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4225.7 and 64.1.\nAnswer: 4289.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/8 of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 5*z**2 - 3. Let v = 15 - 15. Suppose -i + 1 + 4 = v. Determine l(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -44827*s**3*y**3 - 3*s**3*y**2 - 40*s**3 + s**2*y**3 + 1268048*s**2 - 23*s*y wrt s?\nAnswer: -268962*y**3 - 18*y**2 - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -145.5 + 153.97. Let h = n + -8.1. What is h rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in one sixth of a day?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 5*w - 12. Let d(m) = 11*m - 25. Let i(s) = -6*d(s) + 13*z(s). Let y be i(-7). What is the closest to 2 in -0.5, 0.1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -81 + 87. Calculate the remainder when 184 is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2491519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**3 - 2 + 2)*(109*o - 13 + 10 + 329*o)*(2*o - 3*o - o).\nAnswer: 876*o**5 - 6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 12:51 PM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 12:46 AM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 84890855 to the power of 1\/2, to the nearest integer?\nAnswer: 9214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -2*m + 139. Suppose 28*h = 27*h + 4. Let i = m - h. What is the remainder when i is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 42437 = -3*i, 19*c - 16*c + 2*i = 63675. Does 19 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 117 and 1209.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**13\/n**(-2))**(-10))**(-11\/9) assuming n is positive.\nAnswer: n**(550\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -4 - 11, 2*t + 2*u - 12 = 0. What is the closest to t in 3, 0.3, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25582 - -25044. Is -0.19 greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36750*x + 513300 = 41100*x for x.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 49? (a) -3 (b) -2344 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 0 (c) 4.25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 203327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241034 is divided by 1062.\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-5))\/(133\/((-30590)\/(-552)))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5748 and 16944.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3841812 to the power of 1\/2, to the nearest integer?\nAnswer: 1960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -163.9 + 202.9. What is the smallest value in -0.05, v, 3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/7 + 82*d**2\/7 - 114*d - 126.\nAnswer: -2*(d - 21)**2*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 15606 (base 8) in base 5?\nAnswer: 211141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 7473258, 3 in decreasing order.\nAnswer: 7473258, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-140)\/112)\/((-140)\/(-32))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ozd when three letters picked without replacement from doqqdz?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 5 - 5)*(-3*b + 0*b + 7*b)*(4*b**2 - 3 + 3) + b**3 - b**2 + b**2 + (4*b**2 - b**2 - 5*b**2)*(-3*b + 3*b + b).\nAnswer: 47*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*n + 46*n + 40*n - 198*n - 55.\nAnswer: -3*n - 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*30\/(-96)*1.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 103905986 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9143*k**3 - 4571*k**3 - 4574*k**3 - 5*k**2 + 69 - 21 to v*k**2 + g*k + q*k**3 + z and give z.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2405255 is divided by 114535?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(448) + 0 + sqrt(448) + 3)**2.\nAnswer: 192*sqrt(7) + 1828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**2 + 18*k - 272. Let o be h(-17). Sort -27, o, 4, 0.07, 2\/7.\nAnswer: -27, o, 0.07, 2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, -22, 2, -0.402?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 3 = k, -6*m - 9 = -m + 2*k for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((10\/4)\/(-5))\/(5\/50).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -20, -5, 2, -140, 15.\nAnswer: -140, -20, -5, 2, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/63)\/p*p*p\/(p**(1\/26)*p))**(-20\/3))**(-5\/3) assuming p is positive.\nAnswer: p**(-550\/7371)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7476 is divided by 3662.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39656.\nAnswer: 2, 4957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ellle. Give prob of picking 3 l and 1 e.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 2*i**2 - 6*i**2 - i)*(-5 + 4*i + 5).\nAnswer: -16*i**3 + 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 98 + -104. Let c = -3 - -5. Let l = c + d. Sort -2, 0.3, l in descending order.\nAnswer: 0.3, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 3*v - 0*v - 18, v = h + 2. Let p(w) = -32*w + 2*w**h + 32*w. Let x(z) = 3*z. Give x(p(d)).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2 + 1125868920*v + 79223801563872900.\nAnswer: 4*(v + 140733615)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -162097875 divided by 10806525.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -38405 greater than or equal to -38404?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*j + 160 = 44 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 85 or -530?\nAnswer: -530","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.01 - -39.99. Let w = -169 - -216.8. Let r = w - n. What is r rounded to 0 dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 853614 = -2307*c + 2401*c. Is c a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.218 + -0.1755. Round u to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10164 is divided by 2015.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 63 and 77.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 5*n + 12, 5*f + 4*n - 6*n = 1. Let q be ((-2)\/(-14) - f)\/((-4)\/28). Let v = 4 + -2. Solve -2*j = -v + q for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1224?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(8) - sqrt(16)\/sqrt(2))*-2 - sqrt(8)))**2 + 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3642.\nAnswer: 2, 3, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2552*u - 15283. Calculate m(-6).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -68*(-8346)\/9095*(-5)\/4?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p + 2. Let q be j(4). Suppose 17*w = 15*w + 2, -l + 5*w + 205 = 0. Suppose l = 21*d - 6*d. Calculate the greatest common factor of q and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -7 + 7 + -10 + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*v - 3. Suppose -p + 62 = v*r, -5*r - 56 = -p - r. Does 15 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8001 + 8044. Calculate the remainder when 515 is divided by q.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 6816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from {r: 5, w: 7, b: 4}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/114 and 13\/96?\nAnswer: 1824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m**3\/2 + 2605*m**2\/2 - 184950*m = 0. Calculate m.\nAnswer: -2740, 0, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 160713 and 9918?\nAnswer: 177105726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l**2 - 56*l - 77. What are the prime factors of v(29)?\nAnswer: 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34996 is divided by 1823.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 112060 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 6*b**2 - 8*b + 5. What is r(5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 8:25 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3*c = 36, 3*u + 9 = 2*u + 5*c. Let x be 1\/1 - 0 - 3. Let g be (x\/(-1 + u))\/1. What is the smallest value in g, -3\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 903516846?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*m**3*n*q - 122905*m**3*q - m**3 + m**2*n*q + 4*m**2*n + 66*m**2*q - 15*m*n + m*q + 20 wrt m.\nAnswer: -24*n*q - 737430*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 1\/9, -4, -3\/5, 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 71 + -85 + (-119 - -156).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n + 12. Let t be l(6). Solve j = t*j - 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + ((-16)\/(-4) - 13).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**4\/2 - 1362273*k**3\/2 + 6811419*k**2\/2 - 9536007*k\/2 + 2043432 = 0. What is k?\nAnswer: -454096, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**2 + 9*v - 14. Give s(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r, -3*j + 2*r + 9 = 6*r. Suppose 0 = -2*f - j*f + 5. Calculate the remainder when (f + 9)*(-5 - 295\/(-25)) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.23, -13\/5, 0, 14, 4, 0.3, 1?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of 2369*t**7\/210 + 26*t**4\/3 + 7*t**3\/6 + 38*t**2 - 16*t. What is the second derivative of z(a) wrt a?\nAnswer: 28428*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 14*i**2 + 16*i + 33. Let u = 13 - 28. Let c be v(u). Put -0.5, c, 2\/17, -1 in decreasing order.\nAnswer: c, 2\/17, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**2 - 243*s - 6002. Calculate d(-21).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, 10, 0.3, 22, 506?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2115?\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1275*f - 2628*f = -1282*f + 2840 for f.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 665918 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f + 11. Let b be x(-10). Let l(v) = v**4 - v**3 + 1. Let d(z) = -14*z**4 + 18*z**3 + 4*z**2 - 8. Let a(c) = b*d(c) + 8*l(c). Factor a(t).\nAnswer: -2*t**2*(t - 2)*(3*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 90, 386, 878, 1566, 2450?\n\"Answer: 98*q**2 + 2*q - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10518221?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 34 = 3*p - 17, -5*p = 3*h - 85. Calculate the remainder when 66 is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1)*(-h + 3*h - h) + 1240*h + 1231*h + 5 - 2468*h.\nAnswer: 5*h + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7408 - 7366. Calculate the remainder when 45 is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25685 divided by 11.\nAnswer: 2335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v**3 + 2545*v**2 + 47430*v = 0. What is v?\nAnswer: -18, 0, 527","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 4*p = -18, 5*p = 4*o + p - 24. Let g be (-4 - -5)*2*o. Solve 0 = s - 0*s + g for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-4) - -1)*10. Find the third derivative of -l**2 - 5 + q - 3*l**4 + 2*l**2 wrt l.\nAnswer: -72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3)*(0*s + 0*s + 2*s) + 641*s + 519*s - 8*s.\nAnswer: 1154*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggu when three letters picked without replacement from ugunsnugggng?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 2, 1\/11, 1, -0.25?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -u**7\/14 + u**4\/24 + 7*u**2. Find the second derivative of t(v) wrt v.\nAnswer: -180*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1985?\nAnswer: 5, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 549817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1357046 tonnes to nanograms.\nAnswer: 135704600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is bb17 - -a?\nAnswer: bb25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 3:51 AM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -13*i. Suppose i = 14*m - 9*m - 105. Calculate the remainder when m is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1787*d - 6*d**3 + 1784*d + 2*d**3 + 4*d**2 to l + q*d**2 + b*d + y*d**3 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3*k + 5)*(1609 + 753 - 671).\nAnswer: 5073*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8473, -8492, -8511, -8530, -8549?\n\"Answer: -19*x - 8454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 k when three letters picked without replacement from knffnfnfffnnfn.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2698 = -d, -10*l = -8*l + 3*d - 1086. List the prime factors of l.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -437, -361, -283, -203?\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 0. Let g = -4 + 3. Let x = a - g. Is 0.1 at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143654732101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 682 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - 3*o - 7. Let r be q(5). Let h(g) = 3*g - 2*g**r - g + 5*g**2 - 3 + 3*g**3. What are the prime factors of h(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 4700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 588859?\nAnswer: 3533154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-4)\/q**(-1\/4))\/((q*q**(-3))\/q*q**0))**(7\/9) assuming q is positive.\nAnswer: q**(-7\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 8 + 22. Suppose 0 = -14*c + 70 + 28. Calculate the lowest common multiple of c and p.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1960 - -9520436177.\nAnswer: 9520438137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263761?\nAnswer: 263761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.6 - 4. Let b = 3.9 + -4.3. Let q = b - y. What is the second biggest value in q, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*z = 4. Suppose 6*l - 2 - 22 = 0. Factor z + 1\/2*k + 5\/2*k**3 - l*k**2.\nAnswer: (k - 1)**2*(5*k + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 43a6?\nAnswer: -43a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*s + 2*s. Let g be 5*((-6)\/(-15))\/s. Let z be 21 - 2\/2*1. Solve -2*i - 20 + 0 = -5*m, z = 5*m + g*i for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 101 = y + 24, -4*p = 5*y - 100. Calculate the remainder when 99 is divided by p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 448\/96 - 1\/(-3). Let o = 6 - 6. Solve o*h + v = -h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*a + 5 = 0, a + 25 = k + 4*k. Suppose -k*w + 7*w = 104. What is the highest common divisor of w and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.00841178 to 5 dps.\nAnswer: -0.00841","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a + 7. Let o be h(-7). Solve o = -d + 4*d + 3*r - 18, -4*d + 12 = r for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 9 - 19 + 6 + z. Let c be 0\/(-2)*(-2)\/(-4). Suppose c*g = g. Calculate v(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54540 and 256815.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3*x**2 + 4*x + 7. Suppose 44*v + 4*v = 144. Let p(b) = 2*b**2 - 3*b - 6. Give v*a(u) + 4*p(u).\nAnswer: -u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 162213 and 220563?\nAnswer: 1167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + h - 1. Let b(m) = 3*m**2 + 10. Let d(l) = -b(l) - 6*p(l). Let n(u) = u**2 - u. Let i(y) = -d(y) + 2*n(y). What is i(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.88 at most as big as -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/2 and (((-186)\/21)\/1)\/(11200\/112).\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/8 of a litre in millilitres?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r + 8 = -8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.3 (b) 1 (c) 4\/3 (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 694.\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1795146848?\nAnswer: 2, 11, 5099849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3459*c - 627*c - 476*c - 7401*c.\nAnswer: -11963*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 7:22 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 4*w - 525 = 0, 3*p + 2 = 2*w + 339. List the prime factors of p.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.581 + -0.181. Let r be 3\/(-21) - 3428\/(-28). Let y = 122 - r. Which is the biggest value? (a) y (b) f (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1286, 1280, 1274?\nAnswer: 1268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + 9*n - 4. Let x be i(8). Suppose -5*b = -7*b + x. Let f = 36 + -65. Sort f, 3, b in ascending order.\nAnswer: f, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -45251, -181014, -407299, -724118, -1131483, -1629406, -2217899, -2896974?\n\"Answer: -2*l**3 - 45249*l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*y**4 - 21*y**3 + 149?\nAnswer: -24*y**3 - 63*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44453 is divided by 4041?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56422?\nAnswer: 2, 28211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1465*d + 0 + 163*d.\nAnswer: -1302*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/4 or -167495?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p**2 + 61*p - 17. Let l(k) = -15*k**2 + 304*k - 87. What is -6*l(d) + 31*w(d)?\nAnswer: -3*d**2 + 67*d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 1. Suppose 0*i - 13 = -3*i - 4*o, 0 = 3*o - v. Suppose 4*f = 3*f + i. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2973 - -2968. Which is the closest to -1\/33? (a) j (b) 39 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -372 divided by 2\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -s**3*y**2 + s**3 + 2*s**2 - 23*y**3 wrt y.\nAnswer: -2*s**3*y - 69*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + i + 2. Let o be u(0). Suppose 4*z = -0*f + 2*f - 32, -o*f + 3*z = -29. Is f a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 95 = -4*f, f + 2*f - 160 = -4*r. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 10*r**2 - 15*r + 5. What is the remainder when (5\/(-10)*6)\/((-3)\/62) is divided by v(8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -14\/11 (b) 0.2 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 14*j**2 - 3. Determine d(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 96*f - 56*f + 77*f + 20*f.\nAnswer: 137*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1281 - -1286. Sort n, 24, 4 in descending order.\nAnswer: 24, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 584322977, 1168645953, 1752968929, 2337291905, 2921614881?\n\"Answer: 584322976*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*c + 6*c**3 - 15*c + 2*c**3 + 34*c.\nAnswer: 8*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 10*a**2 - 42*a - 10. Give m(4).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-84)\/126 - 44\/6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 7:46 PM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 6:35 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/2 + 12524145*x**2\/2 + 19606779128664*x + 19606772866592.\nAnswer: (x + 1)*(x + 6262072)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -630738, -2522956, -5676654, -10091832, -15768490, -22706628, -30906246?\nAnswer: -40367344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 11*i + 5. Let u be g(-8). Let w = u + 21. Suppose w*r = 3*q + q - 88, 4*q - 96 = 4*r. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*m + 36387 = m. What is the hundreds digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = -10*y + 11. Let v(t) = -t**3 - 3*t**2 + t + 3. What is the remainder when v(-4) is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2144*a*h**3 - a + 236 wrt h?\nAnswer: -6432*a*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -456611 - -158911. Round t to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39 - -47. Let b be (-2)\/(-6) + (-342)\/54. Let i be (-24)\/(-2*b\/(-16)). What is the greatest common factor of v and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l - 14*l - 8 = 0. Suppose 3*w - 180 = -l*q, 96 = 2*q + 4*w - w. Let t = q + -38. Solve 5*v - 4 = 2*v - i, -3*v + 14 = -t*i for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + 11 + -3 + 0. Solve r*m + 3*m + 13 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -12*a. Let r(y) = 106*y**2 - 10*y. Let x(i) = 708*i**2 - 72*i. Let p(b) = 36*r(b) - 5*x(b). Give p(z(j)).\nAnswer: 39744*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 5, -0.02, 217\/314.\nAnswer: -0.02, 0.2, 217\/314, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p + 154 = 130 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 104, 118, 132, 146, 160?\nAnswer: 174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 4 = 2*g. Let z be g*(-3)\/(9\/21). Let v = 5 + z. Sort v, 4, 3.\nAnswer: v, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1580 * 4386\nAnswer: 6929880","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -0.097.\nAnswer: 0.485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**15\/(y*y*(y**(-1)\/y*y)\/y))**19)**(-4\/5) assuming y is positive.\nAnswer: y**(-228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.29 - 2.188. Let y = r + -0.302. Let l be (-30)\/7 - (-6)\/21. Which is the nearest to 2? (a) 1 (b) y (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 15*l**2 + 87*l + 68. Let h be n(5). Solve 5*q = -h*w + 9 + 3, -3*w - 18 = -5*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -2*i + 4, 4*n - 50 = 5*i. Let o = 14 - n. Is 1278\/27 + o\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16812 and 102740.\nAnswer: 924660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -10.8. Let k = 391\/1540 + -3\/770. Let s = -16 - -9. Which is the nearest to -0.1? (a) k (b) t (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*n = -14*n + 26*n - 363 + 75 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15a - 1a?\nAnswer: -179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-6))\/(2\/(-15)). Suppose -27 = 5*j - 0*j + 4*n, s*j - 2*n = -9. Let x(u) = u**2 + 2*u + 2. Let z be x(j). Solve -z = -4*l + 3*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26.2 + -26. Which is the closest to h? (a) -2 (b) -2\/35 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 40 = 2*a, -15189*i + 15194*i + 5*a = -85 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3306 = -9*n - 1083. List the prime factors of n.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 12*f + 15. Let d be k(11). Let r be (-4)\/14 - d\/(-14). Solve -3*m = 4*c - r*m + 11, 2*m = c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nt when two letters picked without replacement from {n: 1, f: 1, l: 6, o: 3, u: 2, t: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -117445*d - 5. Let t(n) = -n**2 + 26*n - 97. Let o be t(22). Let u be i(o). Round u to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 26 = 10. Suppose -19*z + 20*z + 19 = -4*m, 3*m + 27 = -5*z. Sort -4, z, h, -5 in descending order.\nAnswer: h, z, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 394960107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-87)\/30 - -3)*(-12 - (-123)\/27) and 113\/730.\nAnswer: 6570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, y: 5}. Give prob of picking 3 z.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 19 = -2*b - 14, 5*l + 4*b = -5 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5*p - 5 = 12, 2*d + 4*p + 26 = 0. Is -8 less than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of r**5 + 26*r**4 - 147*r**3 + 6*r**2 - r - 23948 wrt r?\nAnswer: 60*r**2 + 624*r - 882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (6\/6 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i - 1. Let j be m(16). Suppose -2*y + 17 + j = 0. Does 7 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231911 is divided by 727.\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 22582 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19510669 and 0.05.\nAnswer: 975533.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -891899, -1783837, -2675777, -3567719?\nAnswer: -4459663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 579 is divided by 171?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -124 >= 67591?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/15 of a week in minutes?\nAnswer: 4704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 107767 * 6.\nAnswer: 646602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19596052 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-58 - (-20 - ((-10 - 8) + 8))) + -14\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 1\/2 (b) -0.2 (c) 2 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -78 (b) -4\/19 (c) -8.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2020 + 1965 - (-61 + -1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -j + 3*j + 0*j + (-2 + 4 - 1)*(-j - j + j) + 2*j + 7 - 7 - 4*j + 4*j + j + j - j - 3 - j as d*j + g and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*j**4 - 22*j**2 - 2*j**3 + 22*j**2 + (7*j - 3*j - 3*j)*(14*j - 14*j + j**3) in the form d*j + b + x*j**2 + m*j**4 + c*j**3 and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3275.8 + -3275.8. What is the closest to j in 0.03, -1\/5, -20, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l - 996 = -5*l. Let f = 253 + l. Solve -f = 4*k - 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93.06487l to millilitres.\nAnswer: 93064.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mda when three letters picked without replacement from {d: 1, a: 2, m: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (144\/((-3600)\/50))\/((-2)\/(-21))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 67104 and 1440?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 408 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 6*l**3 - l**2 - 3*l - 3. Calculate t(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -i. Let x be (4 + i)*(-3)\/(-4). Solve f = 5*y, 4*f + y = x*y - 18 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2000 and 1180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25383467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -102*l + 631. Let u be m(3). What is the greatest common divisor of u and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**3 - 6*c**2 - 8*c + 5. Let d be i(4). Suppose d*f - 3*b + 1400 = 2*b, 574 = -2*f - 5*b. Does -281 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193599 a multiple of 178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 14*y**2 - 4. Let z(d) = 28*d**2 - 9. Determine -9*q(w) + 4*z(w).\nAnswer: -14*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tj when two letters picked without replacement from jewiwmt.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 256 - 362. Which is greater: l or -105?\nAnswer: -105","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 34, 41, 62, 103, 170, 269, 406?\n\"Answer: c**3 + c**2 - 3*c + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-98)\/(-4) + ((-32)\/(-4))\/(-16). Let b be 0 + 14\/(-35) - a\/(-10). Solve 5*n = -0*f + 3*f - 34, -b*f - 5*n = 19 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77 = -302*o + 313*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 791 + -681. Let f = -11014.04255515 - -11124.04256. Let l = n - f. What is l rounded to seven dps?\nAnswer: -0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) 460 (b) 1 (c) 5 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -22, -1\/2, 3, 0.37?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = v - 32. Suppose 24 + 129 = 3*g - 5*n, -5*g = -5*n - 255. What is the remainder when v is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*r - 27*r = -6. Suppose -5*g + 15 = 2*l, 4*g - g = r*l - 7. Solve 2*j - 9 - g = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in z**2 + 135660*z - 271324 = 0?\nAnswer: -135662, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -4*a**5\/5 + 2*a**4 + 112*a**3\/3 + 92*a**2 + 84*a + 87. Find k such that n(k) = 0.\nAnswer: -3, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 12:31 PM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/((-25)\/(-45)) + 1*2. Solve -5*q + 5*x - 25 = 0, 3*q + 3*x - 2*x = -n for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - 3*m + 2. Let t be i(-8). Let o be (-174)\/33*(-70)\/t. Let w = -108\/11 - o. Which is greater: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 10) + 1 - 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5936, 17497, 34670, 57455, 85852, 119861?\n\"Answer: 2806*k**2 + 3143*k - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r - 54. Let h(m) = -m + 54. Determine 6*h(o) + 7*y(o).\nAnswer: o - 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -27*w**5\/7 + 118512*w**4\/7 - 631455*w**3\/7 + 697118*w**2\/7 - 271816*w\/7 + 35072\/7 = 0.\nAnswer: 1\/3, 2\/3, 4, 4384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u - u + u)*(1 + 15*u**2 + 1 - 1)*(u + 5*u - u) to n*u**3 + p*u**4 + y*u**2 + q + j*u and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17071079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**2*(t**(-2\/13)\/t)\/t*t)\/(t**(-1\/9)*t**5))\/((((t**(-4)\/t)\/t)\/t**(-3\/2))\/(t*t**2*t*t**5*t)) assuming t is positive.\nAnswer: t**(2915\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q + 5. Let s(r) = -3*r + 10. Let z(n) = -3*s(n) + 5*y(n). What is the units digit of z(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1159.042 to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -6 - 2. Let a = 17 + j. Round a to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(108)*-3*-4)**2.\nAnswer: 559872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 13730647 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) + -2 + sqrt(468) - sqrt(468)) + 4)**2 + -1.\nAnswer: 24*sqrt(13) + 471","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 110110 + 204?\nAnswer: 110314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fvv when three letters picked without replacement from {j: 1, w: 1, f: 9, v: 8}.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2879*q + 2879*q - 44*q**2)*(-1 - 1 + 3)*(5 - 4 - 3).\nAnswer: 88*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.995647ml to litres.\nAnswer: 0.003995647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 56, 105, 146, 173, 180, 161?\n\"Answer: -d**3 + 2*d**2 + 50*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 28809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, -0.1, 6.361, 2\/3, -3\/7, 0?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 2509.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -4*y + 16, 2*y - 2*g = -5*g + 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -24067698 or -24067697?\nAnswer: -24067697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) - ((sqrt(35) - sqrt(560))*-6 + sqrt(35) + sqrt(35)))\/sqrt(5) + 1 + -3.\nAnswer: -19*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 781151 or 781149?\nAnswer: 781151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 98 - 38. Calculate the highest common factor of s and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 4*m = 15. Let i(r) = -r**3 + 6*r**2 + r - 4. Let v be i(6). Sort -3, m, v in ascending order.\nAnswer: -3, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + s - 1. Let r be t(-2). Suppose r*w + 96 = w + m, -2*w + 4*m = 34. Let b = w - -46. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(3 + sqrt(7) + -1) - (-4 + sqrt(112) - (sqrt(7) + 0)*6))**2.\nAnswer: 4*sqrt(7) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qzzzqzyzmzzbzbzzbzq. Give prob of picking 1 y and 1 m.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1\/(0 + 1\/5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/2)\/4*-1*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/((-200)\/12))\/((-93)\/(-310))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - -262. Let q be (19\/95)\/(-1*3\/(-48855)). Suppose q = 6*k - y. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 291661283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/y**(-4\/9))\/y)\/y)\/(y*(y*y\/((y*y**(-4))\/y))\/y))**(-5\/11) assuming y is positive.\nAnswer: y**(295\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p + 15444. Let g(h) = -21*h**2. Determine w(g(d)).\nAnswer: 21*d**2 + 15444","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 347347849 a multiple of 3670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250282 is divided by 22540.\nAnswer: 2342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -99.918 + 100. Let v = -127.882 - -127.1. Let r = v + t. What is r rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.3 (b) 0.4 (c) 3 (d) -0.375\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.83 and 122.5899122?\nAnswer: 119.7599122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 4877.019ng?\nAnswer: 0.000000004877019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.9 + -1. Suppose -8 = -3*r - r. Let y be (2 - r) + (-1)\/(-2). What is the nearest to n in 0.3, y, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0399 + 0.2601. Which is the closest to -1? (a) -5 (b) g (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13915686 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (6 - 10) + (916\/2 - 4)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (30 + -27)*(-1 + 40\/3). Suppose -5*s = -428 - f. Calculate the remainder when s is divided by 30.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -4*l**3 + 3*l - 2. Let n be (-3)\/((-3)\/2) + -5. Is v(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -451 plus 15231224?\nAnswer: 15230773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 - 49732*g + 309158978.\nAnswer: 2*(g - 12433)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -2*y**3\/3 + y**2\/2 - y. Let c be (3\/1 + -4)\/(-1). Let p = 2 - c. What is z(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2436432 smaller than 2436430?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -74, -105, -156, -227?\n\"Answer: -10*v**2 - v - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 88118.09 minutes in nanoseconds?\nAnswer: 5287085400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -28699 (base 15) to base 5\nAnswer: -13122434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -13.5. Suppose 0 = 4*i - 9*i - 3*j + 10, 3*i = -j + 2. Let t be (-6)\/(-8)*1\/3. What is the nearest to t in a, -4\/5, i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1088703?\nAnswer: 3, 7, 11, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/6263 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/13 or 80921?\nAnswer: 80921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 1526\/(-6 - -4). Let b be d\/4*-1 - 2. Let k = b + -113. What is the remainder when k is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-1\/15)*v**(-8\/5))\/((((v**(1\/6)*v)\/v*v*v)\/v)\/v*v**(-1\/13)) assuming v is positive.\nAnswer: v**(-59\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 0. Let o(a) = a. Let z = -39 + 108. Let d be z\/12 + 1\/4. Let f(t) = -4*t. Calculate d*o(q) + j*f(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l - 41. Calculate r(-11).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3728540 and 180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 1, -316, -36 in increasing order.\nAnswer: -316, -36, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3*z. Let t(m) = -m + 1. Let i(u) = -49*u + 42. Let k(l) = i(l) - 42*t(l). Let n(o) = -9*b(o) + 4*k(o). Let p(j) = -16*j**2. Determine p(n(c)).\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 13\/5 (b) 8 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -1783333.8.\nAnswer: 356666.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.23 + -1.3. Let b = l - -1.07. What is the nearest to -1\/4 in b, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -191, -0.2, -1, 2\/7, 5\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*k - 50*k - 28*k - 284*k.\nAnswer: -307*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 112*l**2 + 26*l + 17. Let i be x(-9). Let n = i + -4920. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -5*l**3 + 1240*l**2 - 36380*l = 0.\nAnswer: 0, 34, 214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (29\/(6960\/1000))\/((3\/(-18))\/(-1))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + (-36)\/(-20) + 231\/55. Suppose -n + 2 = -1. Solve 2*q - 5*x - f - 1 = 0, 4*x - 9 = -n*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -f**4\/5 - 46*f**3 - 12764*f**2\/5 + 27158*f\/5 + 39693\/5 = 0.\nAnswer: -131, -101, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qhr when three letters picked without replacement from {r: 4, h: 2, q: 4}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - 0\/(-2))\/((-704)\/46607264) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 5*r**2 + 4*r + 5. Let d be m(4). Suppose 3*s - 3*p - p = 29, -d*p + 18 = 4*s. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.18035229 and 45.945?\nAnswer: 46.12535229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(-14) - (-812)\/(-49). What are the prime factors of (y\/32)\/((-2)\/4) - -482?\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1724*c**3*v + 15615*c**2*v**3 - 215*c*v**3 - 27*v**2 wrt c?\nAnswer: 10344*c*v + 31230*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 2\/(8\/(-12)). What is the nearest to 1\/4 in 0.4, z, -1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -42\/2705755?\nAnswer: -42\/2705755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/14 + (-4)\/(-14). Which is smaller: x or 3\/19?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.4988277 micrograms?\nAnswer: 0.0000004988277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1091009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 10 = -18. Suppose -13*t + k*t - 2350 = 0. Is (2 + 1)\/((-6)\/t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*z - 5534 = 0, 4*u = 26*z - 23*z + 22059. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 4*b + 990. What are the prime factors of b\/(-24) + (-2)\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -163 + 159. Let m = 3.8 + 1.2. Let j = p + m. Is 7 at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 87*v - 4793. Is 19 a factor of s(73)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26.65 - 14.65. Which is the third biggest value? (a) 2 (b) -3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4910 divided by -982?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -66400000 to the nearest 1000000.\nAnswer: -66000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*p**3*x**2 - 2*p**3*x + 2*p**3 + 97*p**2*x**2 - 22*p wrt x?\nAnswer: 4*p**3*x - 2*p**3 + 194*p**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 23.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-2)*-1*(-130)\/(-39). Let l be (-344)\/(-6) - (3 - (-22)\/(-6)). Let f = l - 291\/5. Sort v, f, 4.\nAnswer: f, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50225?\nAnswer: 5, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 41077187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002514698044 rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 76\/1269 and 8\/2397?\nAnswer: 21573","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u + 15. Let y be (-2)\/4*(-16)\/1. What is the units digit of a(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 456, -4, -2, -2144 in decreasing order.\nAnswer: 456, -2, -4, -2144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a hour in seconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -905 + 10?\nAnswer: -895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -12996 (base 10) to base 9\nAnswer: -18740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + l)*(-235 + 235 + 70*l) + (-4*l + 3*l - 2*l)*(2*l - l + 0*l).\nAnswer: 67*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 75 = 25. Let m = y - -70. Solve 0*h + 4*h = -m for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -7*r - 0. Suppose 0 = 2*k - 2*u - 7484 + 266, -r*k + u + 7222 = 0. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 65*n**2 - 507*n + 29. Determine p(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2119122?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + sqrt(1088) + (sqrt(17) - (sqrt(17) - ((2*sqrt(17))**2 + 5))) - sqrt(136)\/sqrt(128)*-4)*1 + -2.\nAnswer: -294 - 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-21)\/(-14))\/(6\/(-136)). Let s = k - -64. Calculate the highest common factor of 6 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -119?\nAnswer: -4\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 - (-482 - -82 - -129)?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2200)*1*3)\/(sqrt(24)\/((sqrt(96) + (sqrt(96) - sqrt(96)*1) + sqrt(96))\/sqrt(8))))**2.\nAnswer: 39600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 117946455?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2463252 (base 10) in base 3?\nAnswer: -11122010221120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/2)*n**(3\/2))\/(n**3*(n\/(n\/(n**(-2)\/n)*n))\/n) assuming n is positive.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51210009?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -110 - -126. What is the lowest common multiple of z and 22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 2 - 0 - (0 + 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000505403 rounded to six decimal places?\nAnswer: 0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18965 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - (-7)\/((-7)\/(-2)). Suppose -5*l - 20 = -4*w, 3*w + 4 = 2*w - l. Suppose 2*b - 35 + 11 = w. Solve 0*c = -x*c - b for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (8 - (5 - -10)) - -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 57038751 to the power of 1\/4, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + 2)*-33*-1. Let v = p - -33. Which is bigger: -10 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8202\/65741 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*j - 6 = 0, -5*k + 34 - 4 = 5*j. Is (34\/6)\/(k\/144) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18975\/(-3795) + ((-96)\/30)\/8*(-2930)\/232?\nAnswer: 3\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109996363 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2103577?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzbbhzbzzhb. What is prob of picking 2 h?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a millennium in years?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i*l**3 + 976*i*l**2*v - 6*i*l - i*v - 12315*l**3*v + 2*l wrt l.\nAnswer: -12*i - 73890*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 6. Suppose 0 = 2*q + f*n - 56372, -5*n - 30204 + 2018 = -q. Let o = -16386 + q. Round o to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 26673 + 49?\nAnswer: 26711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 25 + 47 + t - 54 + 56 as w*t + z and give z.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 10 = 0, -9*j + 13*j - 4*x = 46720. Calculate the highest common factor of 25 and j.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 315302265 to the nearest integer?\nAnswer: 17757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 41*m - 14 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 645*w**2 - 24144*w - 33902. Determine t(605).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 174, 183, 206, 249, 318, 419?\nAnswer: 558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -2*c**5 - 26*c**2 + 114*c. Differentiate d(x) wrt x.\nAnswer: -120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) 0.24 (c) 3 (d) -2\/325 (e) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -d**6\/360 + d**5\/40 + 2*d**3\/3 - 1. Let v(r) be the third derivative of f(r). What is the second derivative of v(m) wrt m?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w**3\/7 + 83414*w**2\/7 + 861260*w\/7 - 611248\/7 = 0. Calculate w.\nAnswer: -13892, -11, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.55842637 + 0.55819. Round b to 5 dps.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/5 - 18729036*h\/5 - 43847098686162\/5.\nAnswer: -2*(h + 4682259)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1305 + 720. Let v be ((o\/12)\/(-13))\/(1\/40). Calculate the highest common factor of v and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1994 or -0.2?\nAnswer: -0.1994","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 470403 (base 9) to base 14\nAnswer: 74d10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-260)\/(-40))\/((537\/2506)\/((-6)\/2))?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 1 = -0. List the prime factors of l\/2 - (-13)\/2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/4 - (-1)\/4. Let z be (3 - g)\/1 - -39. Let c = z + -27. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**2 - 163928*z + z**2 + 163818*z to the form c + j*z**2 + g*z and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1452520880?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -233 + 419. Calculate the remainder when b is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -1.34, -0.8, -5, 0.07, 31?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.516719 plus 1964273?\nAnswer: 1964260.483281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 29632*z. Let r(u) = 22*u. Give o(r(f)).\nAnswer: 651904*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 17620179?\nAnswer: 17620179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 4*y, 2*z - y - 6 = -2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.739618 less than -4702674.17?\nAnswer: -4702675.909618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -419320*s + 419310*s - 1 + 1. Let c(t) be the second derivative of -2*t**3\/3 + 35*t. Give c(u(k)).\nAnswer: 40*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4797129521.\nAnswer: 211, 4637, 4903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-6 + -1 + 1 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45671*c + 1 + 46477*c - 3 + 1 to i + x*c and give x.\nAnswer: 806","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47563 is divided by 6355?\nAnswer: 3078","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 + 10. Let g be 2\/28*(4 + m). Suppose -1 = -5*j - 2*a, -2*j + 0*j = -a + 5. Which is smaller: j or g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -25*t. Suppose 0 = -2*z + r - 5*r - 22, 4*r = -4. Let q(u) = 6*u. Determine z*q(m) - 2*n(m).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28.2 - 81.38682.\nAnswer: -109.58682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2598 or -2599?\nAnswer: -2599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1181, 1184, 1189, 1196, 1205, 1216?\nAnswer: 1229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11212*h**2 - 2892*h**2 - 2771*h**2 - 2780*h**2 - 2767*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 0. Let u = 5.04 - a. Let c = 0.0399994 - u. What is c rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-323)\/748 + 2\/11.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*l + 3*l - 60 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3 - 157186*b**2 + 1257384*b - 1886040.\nAnswer: 2*(b - 78585)*(b - 6)*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i + 0*i + 11201 = 45761. Is 27 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1522*v**3 + 474*v**3 + 458*v**3 - 2378*v**3.\nAnswer: -2968*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -2*g + 4*n, 2*g - n - 1 = -16. Let j be -2 + 1\/(g\/(-4)). Let y be ((-10)\/8 - -3) + (-1 - 0). What is the nearest to 0.1 in j, y, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 - 149 = -3*l - 4*d - 0*d, d + 3 - 1 = -0*d for l.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1689387 to the power of 1\/2, to the nearest integer?\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.36 + 2.45356573.\nAnswer: 2.09356573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5.7*-9257.6\nAnswer: 52768.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -3\/2 (b) -5\/3 (c) 5 (d) 2054\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4*b - 779 = 0, -2*a + 4*a - 546 = -4*b. Find z, given that -288*z**4 + 2*z**2 + 1 - 16*z**5 - a*z**3 + 52*z - 65*z**5 - 9 = 0.\nAnswer: -2, -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(18\/4) + (-3016)\/(-522). Let k be (8 - 5 - 6 - -6) + n. Solve -k + 4 = a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/4 of a micrometer in nanometers?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -80*((-4)\/4)\/1. Suppose f = -r - 9*r. Let w be (-4 - 36\/r)*10. Solve 5*s - 1 = -n + w, -5*s - 10 = 5*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 710978 is divided by 218?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84192 and 3228?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of 0*v + 0 - 1\/20*v**5 - 3*v**2 - 1\/8*v**4 + 0*v**3. What is the second derivative of k(i) wrt i?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(7)*2)**2 + 1*(sqrt(7) + 2 - sqrt(7)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/78 and -1\/182.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -46 + -214627?\nAnswer: -214675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4*a. Let h(s) = -s**2 - s + 1. Suppose -2 + 3 = -r. Let u(k) = -2*k**2 - k + 1. Let i(o) = r*u(o) + h(o). Determine i(t(d)).\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {c: 16, g: 2}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/18 + 1 - 1897\/(-42). What is the derivative of -62*f**4 + n*f**2 - 30*f**2 + 63*f**4 + 149*f**2 + 41 - 9*f**2 wrt f?\nAnswer: 4*f**3 + 312*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + c + 5 - 1 = 0, 3*c - 8 = 4*x. Let r be 35 - 37 - (0 + x). Solve y = -r + 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 5*z + 43. Let o be w(23). Let u = 190 - o. Is u at least 27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4944480 rounded to the nearest one hundred thousand?\nAnswer: 4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + 6 - 11*(-4)\/(-16). Let q = 12\/5 + -43\/20. Factor 3\/4*l + q + 3\/4*l**2 + u*l**3.\nAnswer: (l + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 565\/3*u + 0 - 5\/3*u**4 + 575\/3*u**3 - 1135\/3*u**2 = 0?\nAnswer: 0, 1, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -191*t - 2. Let i(x) = 25*x + 26*x + 28*x - 80*x. Give i(o(d)).\nAnswer: 191*d + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21525 divided by -1435.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -7, 572991 in descending order.\nAnswer: 572991, 4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15299.432 + -3968.987. Let g = 11481 - c. Let h = 150 - g. Round h to two dps.\nAnswer: -0.56","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 9:19 PM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p - 6*p - 6*p)*(2*p - 6*p + 3*p) + 48*p - 48*p - 17*p**2 to a + t*p + d*p**2 and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6556416 divided by -8537?\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13*784\/(-728))\/((-1)\/2).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*z**3 - 6*z**3 + 3*z**2 - 3*z**2.\nAnswer: 36*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 52370, 52371, 52372, 52373?\n\"Answer: f + 52369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**3 - 17*h**2 + 9*h + 28. Determine i(-9).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 4\/33, 0.1 in increasing order.\nAnswer: 0, 0.1, 4\/33, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -2\/3, -2, 2.047?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -21*d**2. Let q(n) = -16*n**2 + 381. Determine q(p(s)).\nAnswer: -7056*s**4 + 381","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n - 9 + 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (225*n**2 - 76940 + 76940)*(-1 + 2*n**2 + 1).\nAnswer: 450*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 10:41 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4460 - -1562?\nAnswer: -2565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/8)\/(1\/(-4)). Suppose -g*p + 13 = -p. List the prime factors of p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.400124 rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g. Let y(j) be the third derivative of -5*j**4\/24 + 4*j**2. Let c(h) = -11*n(h) + 2*y(h). Let v(o) = -3*o + 3*o - o**2. Give v(c(p)).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2113, 243, -2\/13, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/1950 and -41\/1588665.\nAnswer: 15886650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -w**4\/12 - w. Let x(r) = 2*r - 1. Let d(g) = 13*g + 16. Let u(n) = d(n) - 6*x(n). Determine u(f(z)).\nAnswer: -z**2 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 14*q - 25. Let f(c) = -10*c + 17. Let d(v) = -6*f(v) - 4*g(v). Suppose b + 1 = 7. Let w(p) = -9*p + 4 + 4 - 4. Give b*w(m) + 13*d(m).\nAnswer: -2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -409 + 4*a**3 - a**3 + 364 - 4*a**3 - 2*a + a**2 to the form r*a + s*a**2 + v + d*a**3 and give v.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/264)\/((-142)\/110984). Let c = d - -14\/2343. What is the common denominator of c and 3\/2 + (-1300)\/75?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 120*h**5 + 4*h**3 + h**2 + 2353*h wrt h?\nAnswer: 2400*h**3 + 24*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3548549678491 minus 2.5?\nAnswer: -3548549678493.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/45965 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j. Let l be (2 - -3) + (1 - 2). Let g be ((-4)\/5)\/(l\/(-30)). Let r(k) = g*k - k - 3*k. Calculate u(r(z)).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 - 30.7. What is the smallest value in -3, c, -0.5, 1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -15, -29, -49, -75, -107, -145?\nAnswer: -189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1100 (base 3) to base 13\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7879809313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*p = -22*p + 486. Let y = 81 + p. Is -4\/15 at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/6*(-2)\/(266\/(-21)). Which is the nearest to 23? (a) 4\/7 (b) f (c) 0.1 (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -13. Suppose 4*b + j*o = 3*o + 3, -3*b = -4*o + 3. What is the least common multiple of b and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*l + 1144 = 0, 2*x + 2*l = 6*x - 1502. Calculate the smallest common multiple of x and 6.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17956*f**3\/7 - 549132*f**2\/7 - 558624*f + 4477456\/7 = 0.\nAnswer: -1058\/67, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 + -0.2. Let l = -0.177 - -4.177. Which is the third smallest value? (a) 2 (b) s (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -93*m**3 - 41*m**2 - 10*m + 68. What is the units digit of g(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 2*g**4 - 2*g**3 - 4*g**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12775*q + 8898 wrt q?\nAnswer: 12775","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2075 + 40?\nAnswer: -2035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 - (28 - -57) - -162?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/20 and 47\/711230?\nAnswer: 1422460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 14, 28, 46, 68, 94, 124?\nAnswer: 158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bccccccccccbcbc. Give prob of picking 2 c.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47 - 43. Solve 4*b = p*u - 24, 4*u - 10 = b + u for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3 + 4 + 9*o - 4*o**3 - 2 + 5*o**3 + 10*o**2. Let y be t(-9). Let d(f) = f - 4. Calculate d(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*g + 16 = 0, -2*b + 0*g = -g. Let f = b - -1. Calculate the remainder when f is divided by ((-6)\/15)\/(3\/(-15)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 14696596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 737862152 and 680?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence prr when three letters picked without replacement from rprpprrprprp?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -8. What is the units digit of d + 12\/4 + 33?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v*(v\/(v*v**(-2\/7)))\/v))*v**1)**(-50) assuming v is positive.\nAnswer: v**(-450\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 325978?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8823808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5066471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 395 + -258. Let a = w - 50. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a**3 + 41110*a**2 - 84624800*a + 506269920 = 0 for a.\nAnswer: 6, 4108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**4 + 0*k - 2*k - 676338 - 64*k**3 + 4*k + 2*k**2 + 676347 in the form d*k**2 + l*k**3 + f*k**4 + o + p*k and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*-120.\nAnswer: -840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*h + 61*h + 8 = 139*h. Sort 12, -34, h, -3, 3.\nAnswer: -34, -3, h, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*a + 238 + 490. What is the highest common divisor of 700 and a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1443 + ((-77)\/(-7) - 10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -115 + (31 - (38 + -66))?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2462*n**2 + 853*n + 851*n - 1704*n - 4.\nAnswer: -2462*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -4*u + 14, 26 = 5*y + 4*u + 4. Suppose y*t + 0*t = 0. Suppose t = -m + 4*l + 39, 0*m - 2*m + 78 = -l. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b**2*t**2 + 1893535*b**2 - 5651*t**3 + 88*t**2 with respect to t.\nAnswer: 4*b**2*t - 16953*t**2 + 176*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 851, 1758, 2665?\nAnswer: 3572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -v**7\/1008 + v**6\/720 - v**5\/20 + 3*v**2. Let h(k) be the third derivative of d(k). Find the first derivative of h(p) wrt p.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 6:37 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 2*i**2 + 2 + (2*i - i + 2*i)*(-i - 2*i - i).\nAnswer: -14*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/10)\/((-16)\/16).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -452570 minus 0?\nAnswer: -452570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 - (-95 - -56) - (-2 + -26 + 0 - 0)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -4*c. Suppose 0 = -4*b + 5*h - c*h + 33, 3*h + 11 = -2*b. Factor -4*u + 0*u**2 + 0*u**2 + 0*u**2 + 2*u**b.\nAnswer: 2*u*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.85078nm in millimeters?\nAnswer: 0.00002885078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3295 at least 1531?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(192) - sqrt(192))\/sqrt(4) + -4)**2 - (((sqrt(432) + sqrt(432) + -1)*-3)**2 - (-2*sqrt(432)*5 + sqrt(432))).\nAnswer: -15497 + 292*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 1 + (-13 - (13 + -13)) - 7?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - -7. What is the highest common divisor of 7 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 191023?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 122?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-16) - (-125)\/40)*34\/459\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttrtttrttt. Give prob of sequence ttrr.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 16*a**2 + 38*a - 197. What are the prime factors of r(-37)?\nAnswer: 3, 67, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 5074294.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -182*n**2 - 79*n**2 - 99*n**2 - 336*n**2 - 27*n**2.\nAnswer: -723*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2*v + 34 + 64 = 0, 3*s + v - 66 = 0. What is the highest common factor of 207 and s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of -1*(-2331)\/(-14)*(-8)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2906407 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1190 < 1190?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 8*s**2 - s - 5. Let z be f(-8). Suppose -c = -t - 2*t - 169, 0 = z*c - 2*t - 514. Is (c + 2\/(-1))\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 18 + 24 = 39. Put 4, 2\/7, g, -247, -5 in decreasing order.\nAnswer: 4, 2\/7, g, -5, -247","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -0.222988.\nAnswer: 0.445976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 131 + -117. Suppose 0 = -3*l + w + 3*w - 10, k = 3*l + 2*w. Solve -h + l + 3 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/9308736 and -23\/3?\nAnswer: 9308736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = 5*b. Suppose 3*w - w = b. Suppose 0 = i - w*i - 5. Solve i*m = 2*m + 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34620 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - (-4 - (19 + -9))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23 * -110.\nAnswer: -2530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64 and 6685096?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**3 + 4*c**3 - c**3)*(22 + 36 - 38)*(-4*c + 4*c - 2*c).\nAnswer: 40*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.097 - 0.09. Let m = -0.093 - n. Which is the fourth biggest value? (a) 2 (b) 5 (c) -2\/9 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 1823420.\nAnswer: 16410780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - -164.20867?\nAnswer: 164.50867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, e: 1, i: 1, s: 1}. What is prob of picking 1 b, 1 i, and 1 e?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/90 and 11\/64865780.\nAnswer: 583792020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 1) + 68 + -78 + -38.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -391*s + 389*s + 2*s**4 + 2*s**2 + s**3 + 0*s**3 - 10 to y*s**2 + l*s**4 + t*s + o*s**3 + i and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*((-63)\/(-70) - (-4)\/(-10)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -151194.673 to the nearest one thousand.\nAnswer: -151000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/304 and 11 + 3 - 380562\/26676.\nAnswer: 2736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**2 + 5 - 12*u**2 + 11*u**2 + 4*u**2 - 2*u**2.\nAnswer: 4*u**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1683 and 25687?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 1716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + -16. Suppose x = -2*j - c + 90, c = -j + 4*c + 59. Let v = 18 + j. What is the remainder when v is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 7*k**3 - 6*k**2 + 8*k - 9. Let c be w(5). Suppose -3*n + 1221 = -c. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 9*g**2 + 525*g - 3654. Calculate d(7).\nAnswer: 462","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 - -130. Suppose -2*l = -7*l + v. Let y be (-3)\/(l\/32 - 1). Solve -y = 2*b - 2 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/((-6)\/(48\/(-20))). Suppose -5*z + 18 = -y*b, 3*z = 5*b + 3 + 23. Suppose 445 = -z*t + 7*t. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by 5100552.\nAnswer: -19\/5100552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/492?\nAnswer: -1\/492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -6 (b) -65 (c) -1 (d) 0.002 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(127386\/(-24300) + 11\/2 + 24\/(-300)).\nAnswer: 45\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30.56*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5506, 0, -4, 5, 16 in increasing order.\nAnswer: -4, 0, 5, 16, 5506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -20 - ((28 - 19) + -7) - -100 - 25\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19340 - 10*p - 18721 + 38061.\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*d**3 + 93*d**3 - 35*d**3 + (-d**2 + 2*d**2 - 2*d**2)*(2*d - 2*d + 4*d) to the form z + r*d + y*d**2 + u*d**3 and give u.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(-2 - 1 + 2)*(199*z**4 + 9*z**5 - 199*z**4).\nAnswer: -9*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 73 + 10?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (240\/(-200))\/(4\/10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.3 to the nearest integer.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 6*o**2 - 102*o - 117. Is c(-30) a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**0)**(-2\/7)\/(p**(-2\/3)\/p*p)**28 assuming p is positive.\nAnswer: p**(380\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 + 76 + 10 - 7?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1.2, 392, -0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4737 and 1014.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pwpmmwpppppwww. What is prob of sequence wwp?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 2)\/(-3 + (12 - 14)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yzazzzzmckz. What is prob of picking 1 y, 2 z, and 1 c?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 27656786 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -0.3, 15 in descending order.\nAnswer: 15, 0, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 10*m + 186. Calculate the remainder when k(0) is divided by 3\/(15\/(-2))*-60.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 7. Suppose 7*c + k*c = 5*c. Which is smaller: 1\/125 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 515*c**2 + 0 - 2172*c**2.\nAnswer: -1657*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 5*n - x - 2, -1 = -n - x. Let t(a) = 7*a**3 - 7*a**2 + 3*a + 2. Let k(b) = -3*b**3 + 3*b**2 - b - 1. Let q(m) = n*t(m) - 5*k(m). Factor q(j).\nAnswer: (j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*b + 7 = -1204 - 1 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/33*-24)\/((-21250)\/6875)\nAnswer: -16\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 61*r - 508. Let h be t(10). Solve -8 = -q - h*q - 5*k, 0 = 5*q + 4*k - 9 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 105089?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 6. Let l(a) = a - 2. Let u(w) = w - 3. Let v(s) = -4*l(s) + 3*u(s). Let d(h) = h**2 - 8*h - 7. Calculate y*v(g) + d(g).\nAnswer: g**2 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**5 + 3*q**4 + 42*q**3 - 18*q**2 - 135*q - 81 = 0.\nAnswer: -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2*t)*(-1 + 2 - 3) + (9*t - 3*t - 2*t)*(-2 + 0 - 1) + (1 - 2 + 0)*(-2*t + 0*t + t).\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n*n**3\/n)*n*n**(-3\/17)*n*n\/(n\/(n*n\/((n*n**(-8\/9))\/n)*n))*n*n\/(n*(n\/((n*n**(-19\/4))\/n))\/n) assuming n is positive.\nAnswer: n**(-23\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, j: 1, n: 4, l: 7}. What is prob of picking 1 p and 1 l?\nAnswer: 14\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 6 = -4*r, 0 = -4*r - 9*b + 13*b - 12. Let u = -3 - -7. Solve 0*h + u*h + 12 = r for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.28, -1, 2, 2\/19, 0.2?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2084079.\nAnswer: 3, 131, 5303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3133?\nAnswer: 13, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 96, 237, 594, 1275, 2388, 4041?\n\"Answer: 18*b**3 + 15*b + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -6 - 6. Suppose c - u*c = -6. What is the remainder when c is divided by 24\/10 + (-2)\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -7 + 11 + (-3)\/(-1). Suppose y*g + 68 = 1195. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-100)\/(-140)*868\/24 + (-504)\/(-432).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24 - 14) + -17 + -2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 10:25 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 6:59 PM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**5 - 1144*y**4 + 111756*y**3 - 3727944*y**2 - 32251824*y + 2935909152 = 0. Calculate y.\nAnswer: -23, 66, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 12:13 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 507, 509, 523, 549, 587?\nAnswer: 637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30*k**3*r**3 - 4*k**3*r**2 + 3*k**3*r + k**3 - 202*k**2*r**4 - 42*r**2 wrt r.\nAnswer: -180*k**3 - 4848*k**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36090 and 370?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/5 and ((-24)\/(-45))\/((-24)\/40).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8779.7 rounded to the nearest ten?\nAnswer: -8780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2280, 4559, 6858, 9177, 11516, 13875?\nAnswer: 16254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-46)\/(-10) + (-24)\/40. Suppose -6 + 50 = -f*r. Let u = 38 - r. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77 and 1892?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s = 6*s + 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3428 is divided by 954?\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 4*i**2 - 3. Let z be k(4). Let b = z + 5. Let t be 0\/((b*-1)\/(-2)). What is the smallest value in 2\/3, 2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - s = -13, 5*r + 0*s - 11 = s. Let x(b) = b**2 - 5*b - 5. Let y(j) = -j - 1. Calculate r*y(i) - x(i).\nAnswer: -i**2 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 28 + (-16)\/(-4) - 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/690984 and -43\/74034?\nAnswer: 2072952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 6:33 PM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m**3 - 602*m**2 + 6501*m - 1728 = 0. Calculate m.\nAnswer: -64, 3\/11, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(110)*1*-2)\/((-5*(sqrt(80) - 2*sqrt(80)) - sqrt(80))\/sqrt(8)) + -3)**2*-1.\nAnswer: -108 - 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8 + -5 - 7*-1. Let q(a) = -a**2 + 8*a + 8. Let j be q(v). Let w be (j\/30)\/((-2)\/20). Solve -4*f + w = -3*t + f, -3*f - 4 = -5*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18510 is divided by 2571.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 614 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: Let z(j) = -j**3 + 4*j**2 - j - 6. Let o be z(3). Let l be (-93)\/(-33) - 8\/(-44). Solve -4*i = 12, o = -g - l*i + 2*i - 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.38 - -0.3. Let j = -5.08 - m. Let n = 45.9 + -46. Which is the closest to -0.2? (a) -1 (b) j (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/3)\/((-8)\/(-12)). Let k = 95 + s. Is 11 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -u**4\/12 - 537*u - 1. Let h(b) = -17*b**2 + 19*b**2 + 40*b**2. Give r(h(z)).\nAnswer: -1764*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5364047986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*y**2 - 26*y**5 - 175*y - 4*y**3 + 4*y**3 + 174*y wrt y?\nAnswer: -1560*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (1 + 1)) + -558 + 540.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32296411 divided by 20.\nAnswer: 32296411\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 0 = -3. Let w = d - 1. Suppose -r + w = 1. Put r, 0, 2 in descending order.\nAnswer: 2, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 138073 times 0.37\nAnswer: 51087.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -518553028281 - 0.5.\nAnswer: -518553028281.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 6*g - 3*f = 1570, 5*f - 286 = -g. Calculate the remainder when g is divided by 23.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 23 and 402644.\nAnswer: 9260812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1366 is divided by 321.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 314867957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3894490?\nAnswer: 2, 5, 191, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (135 + 366 + 33 - 99)*(12*k**2 - 51*k + 51*k + (0*k - 3*k + 5*k)*(11 - 3*k - 11)).\nAnswer: 2610*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 180494171*s**4 - s**2 + 55854799*s.\nAnswer: 4331860104*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) -7\/2 (c) 0.01 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 147\/2 - 977\/14. Let i = h - 4. Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 0*t**3 + 2*t**3 - t**3 + 10*t**2 + 8*t - 6. Let c be b(-9). Find the third derivative of -2 + 3*r**4 + c*r**2 + 2 wrt r.\nAnswer: 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 4. Is 4 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/2))**(1\/7)*(i**1\/i)**(-49)*((i*i**(-1\/2))\/i)**(-29)\/(i*i\/(i\/((i\/i**(-1\/4))\/i)*i)*i**(-2)) assuming i is positive.\nAnswer: i**(457\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 286 - -7?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/3061 and 63\/4.\nAnswer: 12244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/210 and -4.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43084\/95 or 454?\nAnswer: 43084\/95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (15\/((-3)\/1))\/(-1). Suppose h - g*h = -4. Let x be 2 + 9\/3*h. Solve -x + 0 = -5*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -s - 10. Suppose 5*d + 16031 = 16061. Which is greater: d or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 104\/189 - 11\/27. Which is the closest to 0.7? (a) v (b) 1\/2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 111 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, e: 3}. Give prob of picking 2 e and 2 f.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.077 and 2.92?\nAnswer: -0.22484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 122192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61922621?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 28386221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 2184?\nAnswer: 10920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhq when three letters picked without replacement from {q: 4, h: 2, t: 6}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/52 - 18\/(-52))*6. Solve l*c - 2*x - 6 = -6*x, -x + 10 = 5*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of c**5\/30 - 5*c**4\/12 + 3*c**3\/2 + 2*c**2 - 54*c. Give k(7).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 373 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/6 or 26?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*p**4 - 2*p**5 - 251*p + 56*p**4 + 70*p**4 wrt p?\nAnswer: -40*p**3 + 1308*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -217 and -5.\nAnswer: 1085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i + 10 = 7*i. Let l = 0.0427 + 0.6573. Which is the smallest value? (a) 0.5 (b) i (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 12) to base 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9527218451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ldl when three letters picked without replacement from {l: 3, d: 1, g: 5}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11742966.\nAnswer: 2, 3, 241, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 3*b - 1 = -22, 5*n + 3*b - 1 = -7 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**2 + 75*n - 513. Let h be m(9). Let a(r) be the first derivative of 10 + 0*r - 2\/3*r**6 - 8\/5*r**5 - r**4 + h*r**2 + 0*r**3. Factor a(o).\nAnswer: -4*o**3*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, 5, 2\/3, 1\/3, 13.\nAnswer: -2\/17, 1\/3, 2\/3, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**4 + 0*y**4 + 0*y**4)*(-430*y - 1010*y - 502*y - 1004*y - 17 + 235*y).\nAnswer: -2711*y**5 - 17*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 + -18. Let o be y\/1 - 22\/8. Which is greater: o or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*n**3 + 678*n**3 + 388*n**3.\nAnswer: 1041*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*q**4 - 4969*q**3 + q**2 - 26*q + 4970679 with respect to q.\nAnswer: 8*q**3 - 14907*q**2 + 2*q - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 0, -8, 1 in descending order.\nAnswer: 5, 3, 1, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4*x + 122 = -2*w, -5*x = w - 281. Let d = -117\/2 - -63. What is the common denominator of d and (x\/162)\/(-1)*21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tttt when four letters picked without replacement from tttttvttttttttt.\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 + 67. Suppose 2*q - 4*q = 0. Suppose 4*t = 3*x + 17, 2*t + 2*x + x - 13 = q. What is the highest common factor of i and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16409 is divided by 505?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z - 3*z + 5*a = -2*z - 35, 25 = -5*a for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -16*o**2. Let i(g) = -10*g + 3. Give y(i(t)).\nAnswer: -1600*t**2 + 960*t - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128752*-2.\nAnswer: -257504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -0.5. Let j = 6 - 18. Let y = j + 7. What is the third biggest value in l, 5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 4*n + 25. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**2 - u - 3. Let v be m(5). Let i(p) = 39 + 0*p - v - p + 0*p. Calculate i(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 20604658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-24840)\/9108*(-55)\/3\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*q**3 + 24*q**3 - 2 + 77*q**3 + q - 16*q**3.\nAnswer: 139*q**3 + q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*((20 - 8)\/(-4))\/(153\/136)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 8*w**2. Let f(o) = 64528*o**2 - 129057*o**2 + 64563*o**2. Determine f(h(b)).\nAnswer: 2176*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/9*(1 - 10\/4). Suppose -5*a + 66 = -4*h + 7*h, 4*a - q*h - 44 = 0. Solve 0 = -5*r - r + a for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14.1 + -14. Let o = 0.4 + b. Put 2\/17, -0.3, o in ascending order.\nAnswer: -0.3, 2\/17, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 7:12 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 133 = 22. Suppose -5*r = 4 + b. Let y(w) = -w**3 - 4*w**2 - 5*w + 7. Does 37 divide y(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 647834 and 14278.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dvdddvkkded. Give prob of sequence kvk.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 7*n + 2. Let b be u(2). Let v be b\/(-9) + (-10)\/45. Suppose 0 = -173*m + 161*m - 60. What is the fourth smallest value in v, 5, 2\/19, m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6648846?\nAnswer: 2, 3, 653, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1875 times 18?\nAnswer: -33750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 3:42 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25*q - 107.\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2 - 8344*i - 4351396.\nAnswer: -4*(i + 1043)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -57 or -225\/4?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9007\/3927 + -62\/51. Let l = b - 15\/11. Let t be ((-3)\/(-9))\/((-92)\/24 - -5). What is the closest to l in -2\/7, 3, t?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 30*y - 121. Give v(-25).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + 5*j + 5. Let m be a(-5). Suppose 0 = -3*d - 0 + 9. Suppose -f = -d - m. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10215*n - 8824*n = 13977 + 79220 for n.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.9344 + 1.08. Let u = n + 1.0114. Let s = -1.21 + u. What is s rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63471480 to the power of 1\/2, to the nearest integer?\nAnswer: 7967","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 487 - 493. Is (-702 - (-6)\/o)*-1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30895.8535*5.\nAnswer: -154479.2675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -47 and 129195.\nAnswer: -6072165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 29401783?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15274670 is divided by 392.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*q = -63*q - 6. Find the third derivative of -14*n**5 + 443*n - 61*n**5 - 488*n - n**q wrt n.\nAnswer: -4500*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 42, 11, -2 in ascending order.\nAnswer: -2, 0, 11, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 540086?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x**2 - 9*x + 6. Let w(r) = -r**2 - 1. Let n(m) = 3*w(m) + y(m). What is n(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b - 1 - 11. Suppose 0*p - b*p - 13 = -3*k, 2*p + 4*k - 22 = 0. What is the nearest to 2 in p, -3\/7, 0.8?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5022814?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 120222816 to the nearest integer?\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d - 24. Let n(k) = -4*k**2. Calculate n(y(v)).\nAnswer: -16*v**2 + 384*v - 2304","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**2 - s - 2. Let u be j(3). Let m = u - -60. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**2 + 19004*n + 2005776 = 0 for n.\nAnswer: -4643, -108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18790 - 18484. Which is smaller: h or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of l**5\/5 + l**4\/12 - l**2\/2 + 3*l. Let i be t(-1). Is -3 >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3946, 3942, 3938, 3934, 3930, 3926?\nAnswer: 3922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -509 + 509. Suppose 3*a + 4*k - 136 = o, -16 = -4*k - 0*k. Let z = 15 - 7. What is the highest common factor of a and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -45b54?\nAnswer: -45b50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23994 + 24786. Calculate the highest common factor of 1650 and j.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/17721 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1)**36\/((l*l\/(l**(1\/2)*l))\/(l*l**(3\/2)*l)) assuming l is positive.\nAnswer: l**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5\/(-9))\/5)\/((-2)\/4).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ogpp when four letters picked without replacement from pgop.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6*6\/(-54)*399174\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 196 in -2, -1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39 - (-3 - -2)) + -103 + -92 + 202.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v = -5*u - 5*v + 35, v = -5 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 128947\/1859 - (-4)\/(-11). Is w equal to 68?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -34\/5 in -4, -0.3, -2\/7, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**3\/11 - 284*t**2\/11 + 236318*t\/11 - 3019744\/11 = 0.\nAnswer: -427, 13, 272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*m - 3 = -51*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 277*s - 256*s - 63 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 4, -19, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(35)*1)\/(sqrt(60)\/sqrt(3))*-3.\nAnswer: 15*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1316701524993 + 2*m**2 - 1316701524993.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -89, -214, -399, -650, -973?\nAnswer: -1374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2141493, -2141499, -2141505, -2141511?\nAnswer: -2141517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -134*t - 7. Let u be d(-2). Suppose 1076 = 4*b + 4*l, 0 = b - l - 0*l - u. Suppose i - b = -4*i. What is the remainder when i is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**5 - 338*y**4 + 8794*y**3 - 59498*y**2 - 198590*y - 83300 = 0. What is y?\nAnswer: -2, -1\/2, 17, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*m - 3*m. Let b be ((-1)\/m)\/((-3)\/24). What is the common denominator of ((-14)\/b)\/((-10)\/(-16)) and 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 5*t**2 + 3*t - 9. Let p be k(5). Suppose -4*j - 5661 = -p*g + g, -g + 1134 = j. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*((-6)\/5)\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 72751*p**3 - 4*p**2 - 80*p wrt p?\nAnswer: 436506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/8 and 13\/92.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2662 < -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 582, 575, 562, 543, 518?\n\"Answer: -3*m**2 + 2*m + 583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3946bb (base 13) in base 11?\nAnswer: 86352a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - n = -0*s + 9, -30 = 5*s + 5*n for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 12) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2116)\/1587*258\/(-8)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 510 and 595.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -957566 + 3.6.\nAnswer: -957562.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1535172607.\nAnswer: 17, 31, 2913041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8787*m + 133989 = -481101 for m.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/11 (b) 2\/3095 (c) 3 (d) -2\/5 (e) -84\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -20. Let r be (-4)\/u - (-52)\/(-60). Put 2\/7, 4, r in ascending order.\nAnswer: r, 2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z**3 + 29*z**2 - 199*z + 2420. Determine y(11).\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 95 and 460?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 1728?\nAnswer: -1\/864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 6:44 PM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/2172 and 89\/431866.\nAnswer: 2591196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 3*c**2\/2 + 789*c - 1581\/2 = 0.\nAnswer: -527, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -61.1 + 61. Suppose -3*j - 9 = 4*x - 32, j = -x + 5. What is the third biggest value in x, m, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4193, 2, -2 in decreasing order.\nAnswer: 2, -2, -4193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.023 + -4.117. Round p to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/2*12\/20. Let h = 3 + -2. Let t = h - -1. Which is greater: t or n?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 0*q + 56. Let z(t) = q + 12*t - 6*t**3 + t**3 - 7*t**2 - 7*t**2 + 4*t**3. What is the remainder when z(-15) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164720675 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**4\/z*z\/(z*z**(-5)\/z*z)*(z**(-2\/11))**(-34))**(-1\/7))**(1\/11) assuming z is positive.\nAnswer: z**(-156\/847)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/21)\/(752\/7896)*-10.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005324 to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1567 is divided by 1073?\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/((-242)\/(-264)))\/((-16)\/(-12))*-3\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -525 + 524.2. Is x not equal to -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2d1a7 - -3?\nAnswer: -2d1a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/((n**(-3)*n)\/n)*n**1*n**(-6)\/n*n**1 assuming n is positive.\nAnswer: 1\/n","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(4\/96*16). Solve -3*n = v - 14, 2*n - 9 - 4 = t*v for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11268 is divided by 59.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 15*y**2 - 16*y**2 + 2737 - 2738. Let z(p) = 14*p**2 + 7. Give -7*t(h) - z(h).\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 12. Let q(u) be the third derivative of u**5\/60 - u**4\/12 - u**3\/2 - 8*u**2 - 3*u. List the prime factors of q(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 1291?\nAnswer: -128b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -87 - -58. Let o = -27.3 + -2.2. Let f = o - c. What is the smallest value in 5, f, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (0 - (-3 - -6 - 4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6989078 - -4?\nAnswer: 6989082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -5953\/13 greater than -457?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4500+-47.12\nAnswer: 4452.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 - 61 - 27 - -80?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 10*q + 57. Let j(g) = 6*g. Give 2*j(l) - o(l).\nAnswer: 2*l - 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c - 12 = 11*c. Suppose -5*j + 4 = -16, c*q + 2*j - 14 = 0. Suppose 9*m = q*m + 490. What are the prime factors of m?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1210 divided by 10.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58, -75, -102, -145, -210, -303?\nAnswer: -430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-2 - -2) + -3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 713343444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -8*x + 4*x. Let u(s) be the first derivative of -1\/2*s**2 - 4\/3*s**3 + 4*s - 5 - 1\/4*s**4. What is u(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -q**8\/20160 + q**7\/1008 + 7*q**6\/720 + q**5\/60 + q**2. Let u(a) be the third derivative of j(a). Calculate u(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 10:21 PM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 15*g**2. Suppose 0 = -8*m - 15 + 7. Give x(m).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 159\/27 - 1\/(-9) and 101?\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -313351 (base 8) in base 12?\nAnswer: -50349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 37 = 3*m - m, 0 = -4*m + f + 83. Calculate the lowest common multiple of m and 4708.\nAnswer: 23540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than -2565.9?\nAnswer: -2566.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100001 (base 2) in base 11?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.7 - 1.3. Let y = b + 0.4. Let a = 540 + -540.3. Which is smaller: y or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(288) + -4.\nAnswer: -3 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.035389 to three dps.\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (3 - 9 - (4 - 7) - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1138*t**3 - 570*t**3 - 555*t**3.\nAnswer: 13*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = -3*z + 5*n - 325, -252 = -4*z - 2*n. Let y = z + -59. What is the third derivative of 4*g**2 + 2*g**2 - 8*g**6 + 5*g**y - 5*g**2 wrt g?\nAnswer: -960*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t. Let f(r) = 32*r + 141*r + 91*r. What is f(n(q))?\nAnswer: 264*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 888.9439 nanoseconds?\nAnswer: 0.0000008889439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -19, -82, -157, -250, -367?\n\"Answer: -l**3 - 56*l + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 3*q + q. Suppose 0 = -15*n + 71 + 79. Calculate the smallest common multiple of q and n.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/(-880)*-710)\/((-1)\/(-4))*-2?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -4*z**3 - 43*z**2 + 22*z + 83. What is c(-11)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**3 + u**3 + 4*u**3)*(1 + 2 + 0).\nAnswer: 21*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*w - 20. Let r(s) = -44*s**2 + 28*s - 28. Let g be (816\/(-340))\/(9\/105). Let f(z) = 8*z**2 - 5*z + 5. Calculate g*f(y) + w*r(y).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s. Let f(o) = 4*o**2 + 367*o + 1. Determine f(r(y)).\nAnswer: 4*y**2 - 367*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 20266, -4, 9 in ascending order.\nAnswer: -4, 9, 20266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*o**3*y + 799159*o**3 + 15*o*y + 419*y wrt y.\nAnswer: 2*o**3 + 15*o + 419","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.892 + -0.108. Which is the closest to -5? (a) -0.3 (b) d (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 735.083 centuries in years?\nAnswer: 73508.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 4*j**5 - 45*j**4 + 313*j**3\/2 - 118*j**2 - 168*j - 32 = 0.\nAnswer: -1\/2, -1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*t = -h + 56*t - 6, -2*h + 8 = -2*t. What is the closest to 0.3 in h, -5, -6, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13 and 74.\nAnswer: 962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 12*s**2 + 6*s - 29. Let d(k) = -k**2 - k + 1. Let z(b) = 4*d(b) + n(b). Is z(16) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 774 - 773.9. Let a = -0.7 + 0.74. Which is greater: o or a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 3*f + 1, 5*m - 4*f - 3 = -1. Suppose -13 = -3*r - 7. Let a(l) = l + l + 0*l - r + 2*l. Calculate a(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-9)*(-42)\/(-4). Suppose 3*q + 55 - c = 4*l, 2*l = q + 22. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12529.\nAnswer: 11, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, n: 1, t: 1, k: 1}. Give prob of sequence kvtk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-111)\/74*40\/(-6)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w + 3*d - 5, 7*w + 5*d + 20 = 3*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3855521, -3855568, -3855615?\nAnswer: -3855662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of v**3\/6 - v**2\/2 + 15*v. Let m be w(3). Suppose -1 = -3*h - i, -2*i = 2*h + 6 - 0. Solve -h*u + m = -0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31724 and 56?\nAnswer: 63448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3375010 is divided by 2256.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-2))\/(2 + 0). Let g = -7023.3 - -7023. Which is the fourth biggest value? (a) v (b) -1\/3 (c) 2\/11 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fom when three letters picked without replacement from ffmoqmqooooo?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/55)\/(4500\/5500).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*i**4 + 10*i**4 - 2*i**3 - 79*i - 82*i + 3 + 164*i + 16*i**2 in the form w*i**2 + h*i + j*i**3 + u*i**4 + o and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 - (-80)\/15) + (-26)\/(-3). Suppose -2*t - 4*h + b - 1 = 0, -5*h - 10 = 0. Suppose z = -2*z + t*z. Solve 3*y + 0 - 6 = z for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-59785795\nAnswer: 11957159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-440)\/(34 - 23) + 13.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 15*s**2 - 88*s + 1242. Let k(y) = y**3 - 14*y**2 - 16*y + 21. Calculate the smallest common multiple of h(16) and k(15).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 8*d**2 + 10*d - 10. What is z(7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 1:04 AM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 11:05 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17463 - -17466. Factor -6\/11*j**m + 0*j + 0 + 0*j**2.\nAnswer: -6*j**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 2)*(2 - 2*g - 2) + 35 + 35 + 6*g - 72 + (-2*g - 5 + 5)*(0 + 0 - 9) to the form q + s*g and give s.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 2*k + 4*k)*((4*k + 11*k + 0*k)*(1 + 1 - 5) + 7 + 15 - 5*k - 20).\nAnswer: -100*k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 311828845 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 14342008, 57368035, 129078080, 229472143, 358550224?\n\"Answer: 14342009*v**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b**4 + 3*b**2 - 3*b**2 + (-2*b**2 + b**2 - b**2)*(47*b**2 - 89*b**2 + 7*b**2) as p*b**4 + g*b + o + s*b**3 + d*b**2 and give p.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*z**3 - 45835594*z**2 + 45835594*z**2.\nAnswer: -81*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 132*x**2 - 346*x**2 + 132*x**2 + x + 80*x**2. Let w(i) = -139*i. What is h(w(n))?\nAnswer: -38642*n**2 - 139*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/7*3\/(-6) - 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of 7*x**4\/12 + 21*x**2\/2 - 9*x. Differentiate l(p) wrt p.\nAnswer: 14*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*t**5 + 11*t**3 - 1342*t**2 wrt t.\nAnswer: 780*t**2 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qoj when three letters picked without replacement from {h: 1, q: 4, j: 5, v: 2, o: 4}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -6*b + 48 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.02581 + 32.02581. Is a not equal to 21\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + a + 4*t + 127 = 0, 0 = -5*a - 4*t + 103. Let z = 5 + 2. Suppose -4*v - z = -183. What is the remainder when v is divided by a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**5 - 2612*b**4 - 6523400*b**3 - 6518168*b**2 + 6523396*b + 6520780 = 0.\nAnswer: -991, -1, 1, 1645","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 5, 1\/38, -0.3, 17?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -13*o**2. Let x(s) = 2*s - 17249. What is x(a(y))?\nAnswer: -26*y**2 - 17249","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.286 + 0.154. Let q = f + -3. Round q to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 212322188 by 682708.\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4492086 and 372?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3891.049 rounded to the nearest integer?\nAnswer: -3891","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 103 = 2*s + 5*p, 4*p = -2*s + 106. Let q(n) = 15*n - s*n + 13*n. Let l(k) = -3*k. Determine l(q(z)).\nAnswer: 57*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from immmimimii. Give prob of picking 1 m and 2 i.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 284642 - 4345439 = -27*n + 31298106. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**2 - m**2 - m**2 + 0*m**2 + (129 + 27 - 33)*(m**2 + m**2 + 0*m**2).\nAnswer: 242*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -99*h**3 - 16 + 87*h**3 + 6 - 15*h + 11*h**3 to y*h**3 + c + a*h**2 + u*h and give u.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -19 + 25\/4*l**4 + 0*l**2 - 70\/3*l**3 + 0*l. Find the third derivative of x(s) wrt s.\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 2013312?\nAnswer: -2013320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 8 = 2*l, -385277 + 385246 = 5*l - c for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.247505387 to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 442*w = 437*w, 2*x + 2*w = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (6 + -7)*(1 - 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**(1\/4)*o\/o**(-4\/5) assuming o is positive.\nAnswer: o**(51\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 j when four letters picked without replacement from {l: 16, j: 2}.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -87469 and -85.\nAnswer: -87554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 1 = 7*l. What is the highest common divisor of l and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 61 + 3?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -84*o + 609375 - 609039 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -65 - 193956353.511\nAnswer: -193956418.511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 28*y**2 + 51*y + 17. Let r be m(26). Let b(v) be the second derivative of -59*v**3\/6 + 13*v**2 + 24*v. Is b(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*t - 12*t + 124 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 674385.657 to the nearest 1000.\nAnswer: 674000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p + 2*p - 5*o = 180, -210*o = 2*p + 29 + 61 for p.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 753865.\nAnswer: 5, 7, 17, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 5*l**2 + 519. Let r be p(0). Let h = 1021 - r. What is the hundreds digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 684 = 3*o. Let n = o + -90. Suppose -66 = -2*p + 5*r, 6 + n = 4*p - 4*r. Is p a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -99. Suppose w*q + 6 = 98*q. Let x(j) = 35*j**3 + j**2. Calculate x(q).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108698 and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -5*s + 38, 0*k - 12 = -3*s - 3*k. Sort s, 2, -4 in ascending order.\nAnswer: -4, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + g = -2*j + 14, 5*j + 4*g = 41. Suppose 0 = -j*r, 5*l + 8*r = 3*r + 1115. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 692 + -3458\/5. Let b = 19\/12 + -4\/3. What is the closest to 2\/13 in -5, r, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {o: 3, r: 2, u: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 4, -4*f - 3*g + 8979 = -8*g. Let m = f + -165. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of d**4\/3 + d**3\/2 - 5*d**2\/2 + 7*d. Is u(-4) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by 2\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 837 + -832. Let w(m) be the second derivative of 15\/2*m**2 + 0 + 0*m**4 + 1\/20*m**n - 8*m + 0*m**3. Find the first derivative of w(u) wrt u.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**2 + 26*n + 24. Suppose -376*l + 1430 = -4962. Give g(l).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-16) - (3\/2)\/(-3). Suppose s = -2*h - w + 634, 4*h - 1488 = 3*w - 200. List the prime factors of h.\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -159*g - 2539. Calculate j(-16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -17*y - 1815. Let s be x(-107). Let l = 6 - 1. Solve -r + 5 = -2*g, -r + s = l for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 5 + z)*(6 - 23 + 11).\nAnswer: -6*z + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**3 - 3*b**2 - 6*b - 4. Let j be w(-1). Let f(k) = 10*k - 46. Let g be f(5). Put j, 7, -4, g in decreasing order.\nAnswer: 7, g, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -21 and 15546?\nAnswer: 15567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h**2 + 108*h + 5099. Give t(-24).\nAnswer: 779","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2 - 5 = 2*g, -g - 2*a - 3 = 0. Find the first derivative of 2*i**g + 7*i - 3 - 7*i wrt i.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, v: 1, u: 2, f: 2, m: 4}. What is prob of picking 1 f, 1 v, 1 r, and 1 m?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1065 and 142.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2134346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.61 + 0.39. Which is the nearest to 1? (a) q (b) 4 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 1. Let w(j) be the second derivative of -7*j**4\/12 + j**2 + 204*j - 2. Let p(t) = 2*t**3 - t. Let z be p(-1). Calculate z*w(g) - 2*s(g).\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 1693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 d when two letters picked without replacement from {e: 2, i: 2, d: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 163460, 326920, 490382, 653846, 817312, 980780, 1144250?\nAnswer: 1307722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - p. Let i(c) be the second derivative of -c**5\/20 + 5*c**4\/12 - c**3 + c**2\/2 + c. Let y be (-15 + 6 + 8)*(-6 + 1). Give y*n(v) - i(v).\nAnswer: v**3 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3253766*j**2 + 77473*j - 3 wrt j?\nAnswer: -6507532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 6*v + 36. Let r be n(-7). Let y be (16\/r)\/((-2)\/3 - 0). Is 13954\/14 + (40\/35)\/y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.146 - 0.254. What is the third biggest value in -1\/2, -0.1, a, -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**3)*v)\/v*v\/(v*v\/v**(-2\/15))*v)**24\/((v\/(((v**(-2)\/v)\/v*v)\/v))\/(v*v**(4\/3)\/v)*v**0\/v**(-1\/3)) assuming v is positive.\nAnswer: v**(-396\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.89 - -0.11. Let y = -6 - -5.3. Let m = y + 0.2. Which is the second biggest value? (a) 0.5 (b) w (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/(2\/(26 + 2))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 p, and 1 o when three letters picked without replacement from oopvooooo.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d. Let y be w(-2). Let v be 1\/(y - (-153)\/(-39)). Calculate the highest common divisor of v and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -357 - -364. Suppose 0 = n*w - 5093 - 759. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*5*(sqrt(1700)*-2*6 + 3) + -5 + -2.\nAnswer: -1200*sqrt(17) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -129*b + 7*b**2 - 6 + 129*b. Does 19 divide x(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -60 - -56. Let p(o) = o**2 + 4*o + 1. Determine p(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -919, -1568, -2271, -3040, -3887, -4824, -5863?\nAnswer: -7016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1326376876 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 452033?\nAnswer: 452024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 373.2*-105\nAnswer: -39186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23307, 23308, 23337, 23406, 23527, 23712, 23973?\nAnswer: 24322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z - 12 + 3 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -4*b + 5*s + 1, 4*s = -b + 16. Let l be (-2)\/(8\/(-20) - 12\/45). Solve l*u + b = 5*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1214 (base 8) in base 11?\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l**2. Let z(r) = -16560319*r. Calculate q(z(u)).\nAnswer: -822732496145283*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 28538, 57083, 85652, 114263, 142934?\n\"Answer: 3*b**3 - 6*b**2 + 28542*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (148\/(-5))\/(-4) + 6\/(-15). Let u be (0 - -28500)\/(565\/80 - l). What is u rounded to the nearest 10000?\nAnswer: 460000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1086?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 188 less than -4283?\nAnswer: -4471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 8:03 PM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 56, 74, 98, 122, 140, 146, 134?\n\"Answer: -u**3 + 9*u**2 - 2*u + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 2. Let l = -21 - -34. Let g(z) = -2*z**3 - 12*z**2 + 2*z - z + l*z**2 - 2 + 2*z. Calculate g(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 289264?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of 18*c - 3*c**4 + 3*c**2 - 5*c**2 - c**2. Find the first derivative of f(z) wrt z.\nAnswer: -72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + i + 2. Let k(l) = -2*l**2 - 2*l - 4. Calculate 2*k(f) + 6*o(f).\nAnswer: 2*f**2 + 2*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 14) to base 7\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**4 + p. Let k(z) = -z**4 + z**3 - z**2 - 3*z. Let h(l) = 6*d(l) + 3*k(l). Solve h(a) = 0 for a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 1 = 3*f. Let u(h) = 121*h**3 - h**2 - 2*h - 7. Let o be u(3). Suppose o = 7*k + f*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*o - 16*o - 191 = 159 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (188\/(-12) + 1)\/(3\/(-18)) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -218*p**7\/105 - 749*p**3\/3 + 598*p**2. What is the derivative of m(x) wrt x?\nAnswer: -1744*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**2\/2 - 22*l - 816 = 0.\nAnswer: -24, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 64, 4\/9, -3, 2 in decreasing order.\nAnswer: 64, 2, 4\/9, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*z - 14*z - 29*z + 55 - 55.\nAnswer: -51*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17 and 9.\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*q + 8*q + 28*q)*(-4*q**2 + 4*q**2 - q**2 - 2*q**2 + 4*q**2 - q**2 + (3*q - 3*q + 2*q)*(2*q - 1 + 1) - q**2 + 0*q**2 - q**2).\nAnswer: 50*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 372\/1277615 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + 14 - 6*v - 33 + 11 + 12. What is the units digit of h(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 - 40.2. Let b = f - 12.8. Let o = 0.43 - 2.43. Sort b, o, 4 in decreasing order.\nAnswer: 4, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71994 divided by -6.\nAnswer: 11999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5964 and 9492.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 27.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 l when two letters picked without replacement from lhlimvih?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 6*p**3 + p**2 - 7*p - 8. Let c be h(-9). Let a be (1\/c)\/(1\/(-8)). Let k = 124933\/46618 + a. Calculate the common denominator of k and -79\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 177*y**2 + 376*y - 4476. Let p be u(175). Solve p*b = 76*b + 12 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**2 - 105*z**3 + 43*z**3 + 3*z**2 - 5*z**2.\nAnswer: -62*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14434741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b = 16 + 64. Suppose 3*c - 31 = -2*w, 4*w - b*w = 4. Is c <= 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3*v - 10 = -0*v, -4*h - 2 = 5*v. Let g = 1 - 3. Let t be g*h*(14\/(-8) - -1). Solve 7 = -t*l - 2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 10*s**2 - 3*s + 2. What is v(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of 221*o**3\/3 - 95*o**2 + 4*o + 89. Find the second derivative of s(q) wrt q.\nAnswer: 442","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssnsvrrssrssrrrrwsrs. Give prob of picking 2 s.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)\/(sqrt(9) - -4*sqrt(225)) - (sqrt(304) + sqrt(304)*1*-3))**2.\nAnswer: 542659\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8280347184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 divided by 234?\nAnswer: -17\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*w + 9*w - 51. Calculate the highest common divisor of w and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 27*r**2 - 87*r - 40. Let p be (-2)\/(376\/(-92) - -4). Let i be g(p). What is the greatest common factor of i and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/37))**(-25\/2)\/((y*y**(-2\/29))\/y**(-38)) assuming y is positive.\nAnswer: y**(-42498\/1073)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16316731?\nAnswer: 16316731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -11041\/6, -0.1, -1, -1\/20?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1529 is divided by 736.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 520 and 1287.\nAnswer: 51480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/3)\/(7\/(-56)). Let a be 4 + 145\/(-40) - 19\/z. Let i(j) = -7*j - 2. Give i(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*i = -1655504 + 1656074 for i.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.24 rounded to zero dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/8 (b) 637714 (c) 2\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 169?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 11:09 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -74, -110, -146, -182?\nAnswer: -218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -789*g**3*o + 443351*g**3 - 25028*g**2*o - g*o + g - 54 with respect to o.\nAnswer: -789*g**3 - 25028*g**2 - g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-14))\/(1\/(-5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**2*y**3 + 110*f**2 - 745*f*y**3 - 3*f*y**2 + 10*f + y**2 wrt y.\nAnswer: 6*f**2 - 4470*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3*d - 1760. Let m be 1*-3 - (-21)\/3. Calculate the remainder when d\/20 + m\/10 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5311*k - 41 = -2*y - 5316*k, -3*y - 2*k = -45 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 6*s**2 + 5*s + 3. Let b be (-13)\/(-156) - (-147)\/(-36). Calculate the remainder when 102 is divided by t(b).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -411133 + 0?\nAnswer: -411133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6993545.\nAnswer: 5, 13, 17, 6329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-256)\/32*1*(-35)\/56?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of 0*b + 0*b**2 - 3\/4*b**4 - 4 - 1\/3*b**3. What is the third derivative of t(l) wrt l?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57035 to the power of 1\/2, to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*((a*a*a**(-3))\/a)\/a*a\/(a**(1\/5)\/a)*a**(1\/4)\/(a\/a**(-1\/6)))**(4\/5))**35 assuming a is positive.\nAnswer: a**(-469\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, k: 3, a: 1, f: 2, t: 1, z: 3}. Give prob of sequence kk.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -27870\/23 at least -1211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232 is divided by 115?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -2, 3 in ascending order.\nAnswer: -8, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a - 5. Let n be r(5). Let t(g) = 2*g - 124 + n*g**2 - g**3 - g**2 + 123. What is t(2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.650052 + 2.65. What is r rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**4*c*c**7)\/(c**0\/c)**38 assuming c is positive.\nAnswer: c**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/1*4 + -2. Suppose 0*k + 4*y = 4*k - 8, 5*y = -b*k - 17. Is k at most -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 12*w = 34512. What are the prime factors of w?\nAnswer: 2, 3, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + 6*o**2 + 4*o. Let n = 11 - 16. Let s be m(n). Suppose -3*j = -4*z - 53, 3*z = s*j - j - 73. Is 7 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 375 - 366. Suppose -h*p = 28 - 208. Calculate the least common multiple of p and 356.\nAnswer: 1780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -73 - 2. Let g = r - 800. Let m = g + 1662. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 4, 0.\nAnswer: -6, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4.9 times -3624565\nAnswer: -17760368.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**22\/(s\/(s*s*s**(2\/59))*s))\/(s*(s**(-10)*s)\/s*s*s)**41 assuming s is positive.\nAnswer: s**(18233\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b**3 - 5*b**2 + b + 4. Let y be c(-4). Suppose 5*d - y = -23. Solve -2*i + i = d for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 5*h**2 - 3. Let p be v(-3). Suppose 5*k - 3*m = 169, -97 = 2*m - 111. Let l = p - k. Solve l*n + 9 = n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17696*o**4 + 2 + 8850*o**4 + 8848*o**4 + 10*o - o**3 + 30*o**2 to k*o**3 + u + b*o**4 + a*o + i*o**2 and give i.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, u: 3, i: 3, w: 1, n: 8, o: 1}. Give prob of picking 3 u and 1 w.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1357 is divided by 614?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (79*s**4 - 19*s**4 + 71*s**4)*(2 - 13 + 11 - 103*s).\nAnswer: -13493*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 340 divided by -522?\nAnswer: -170\/261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5983 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 3, -0.5, -0.4, 58, -2\/49?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/(-2)*(-7)\/98. Let d = 1 - 0.9. Which is the closest to -3? (a) d (b) n (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, t: 5, y: 2, m: 5}. What is prob of picking 1 m and 2 z?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + 60. Suppose 35 = -f - 2*w, -w - 88 - k = 4*f. Let u = f + 77. Is 11 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.0363 rounded to 1 decimal place?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 83 by 1.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -4*i, 4*i + 4*y = 3*i - 3. Let m = i - 1. Suppose -n - 3*n - k + 54 = 0, -2*n + 24 = 2*k. Solve 4*j - 4*p - p - 17 = 0, -4*j + 2*p + n = m for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 4879296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.26 + -2.2599361. Round p to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 10*d**4 - 6392036*d**3 + 5107259136122*d**2\/5 + 2042907489672*d\/5 + 204290876808\/5 = 0.\nAnswer: -1\/5, 319602","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -4*d + 5*d + 311, -898 = 3*l - 4*d. Let p = 53 - l. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 1826?\nAnswer: -2\/913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 434 - 425. Let z = 243 + v. Is z a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3310 is divided by 2037.\nAnswer: 1273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000023639832 rounded to 7 dps?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4872317.\nAnswer: 41, 151, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.1155 + 5.1155. What is the closest to -2 in a, -0.1, 1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.5 + 2. Let q be (-2)\/(-13) + (-96)\/286. Which is the closest to 1? (a) z (b) -3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/16830042 and -61\/1332.\nAnswer: 100980252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4 + 3 + 0)*(-1 - d + 1) + 0 + 0 - 2*d)*(2 + d - 2)*(-3*d - 3*d + 2*d) as z*d**3 + t + s*d**2 + r*d and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -0.1 (c) -39\/10 (d) -440 (e) 3\/7 (f) -4 (g) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 83 = -2*n - 71, -4*n - v - 353 = 0. Let f = 133 + n. Is f a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2900?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from tttttzttzt.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -14 (b) 1\/4 (c) -0.12 (d) 365\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + d**2 - d + 4. Let c be q(-3). Let g = c + 9. Let l(y) be the third derivative of -y**5\/30 + y**3\/6 + 3*y**2 + 8. Calculate l(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 120 = -2*a. Let m = -14 + a. What is the remainder when 19 is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 18 = -4*z + 22, -2*z + 16 = -2*d. Let x be 0\/(-4) + (1 - -6). Suppose 2*o - z = x. What is the least common multiple of 7 and o?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -30?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of k**6\/165 + k**5\/55 - 16*k. Factor z(u).\nAnswer: 2*u**3*(u + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 2\/4)*-2. Suppose 2*m + 4 = 24. Let x be (16\/m + -2)\/1. Which is greater: s or x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + 1498)*3\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*o + 129*o = -82*o + 3173 for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(396) + 0) + 0 + 5*(sqrt(396)*2 - sqrt(396)) + 1)**2 + -3)*-1.\nAnswer: -394 - 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fifq. What is prob of picking 2 f and 1 q?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 490\/1225*70\/(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 9*q**2 - 8*q + 6. Let o be p(-8). Suppose -5*i + 24 = -o. What is the lowest common multiple of i and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1166532\/265 - -4402. Let n = 369 + -368.9. Are j and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 130 and 1625?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-66)\/(-33))\/((-4)\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.697933 centuries in millennia?\nAnswer: 0.7697933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of 2*k**6\/15 - 12*k**5\/5 - 39*k**4 - 584*k**3\/3 - 456*k**2 - k. Factor i(c).\nAnswer: 4*(c - 19)*(c + 2)**2*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16223164 (base 8) to base 15.\nAnswer: 4deb31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 - -11001101?\nAnswer: 11010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-1\/4))\/c)\/(c\/(c*c*c**(-14\/3))) assuming c is positive.\nAnswer: c**(-41\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3305074 is divided by 417.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 10*p - 27. Suppose 0 = -4*j - 5*q - 53, q = -3*j - 21 - 16. Let c be o(j). Put -17, -2, -5, c in descending order.\nAnswer: -2, c, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2305 (base 7) in base 16?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t + 7. Let k be o(-10). List the prime factors of k + 4 - (-1 + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 496150814.\nAnswer: 2, 17, 14592671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -57.18 - -57. Let y = 148770 + -148770.180014. Let q = y - r. What is q rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2024 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -524288*p**5\/9 + 1122304*p**4\/3 - 150912*p**3 + 20898*p**2 - 972*p = 0?\nAnswer: 0, 9\/64, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/(2\/110*-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 - -33. Suppose -q*k = -1379 - 781. What is k rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7d819b (base 14) to base 6\nAnswer: 231512421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 518\/49 + (-4)\/7. Let v = 10 - g. Suppose v = -0*n + 2*n - 14. Let k(c) = -c**2 + 5*c + 8. Give k(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3 + 0 = 0, 0 = 4*u + 3*i - 67. Let s = -16 + u. Solve -3*c - 4*o = 20, o = c - s + 5 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-798)\/(-570)*(-180)\/(-84)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11175 and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 967 and 2562550.\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 63379098 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/5 + 14*x\/5 + 24\/5.\nAnswer: (x + 2)*(x + 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13136 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21318 and 3553.\nAnswer: 21318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -0.5, -3, 3\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 100100010111100011 (base 2) in base 15?\nAnswer: 2e20d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and -54201.4.\nAnswer: -54201.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8834*(-10)\/25*(-10)\/8. Suppose 0 = 5*u - 9658 - h. Suppose 577 = j + 2*r, r = -5*j + u + 88. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00019468 to five dps.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 16*i**2. Let u(t) be the first derivative of 67*t**2\/2 + 193. Give g(u(o)).\nAnswer: 71824*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.2514 times 2\nAnswer: -0.5028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xbb when three letters picked without replacement from bbbxbbbxxxbxxx?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*3*20\/60.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 86*s**2 - 6*s + 5. Calculate w(1).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 2*h**2 - 245*h - 103. Give r(0).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237687 is divided by 902?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 9.03. Let f = -1.47 + j. Let b = f - 3.5. What is the nearest to 0.3 in -2\/5, 6\/7, b?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*r - 35*r = -64*r + 480. Let c = 13 + -7. Let u(f) = 3*f - 9. Calculate the remainder when r is divided by u(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 1 = -2*j - 3, 0 = -2*x + 4. What is the third derivative of -25*v**5 + 32*v**j + v**4 - v**4 - 11*v**2 wrt v?\nAnswer: -1500*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*(-1 - 9\/(-6)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (114\/14)\/((-18)\/63)*(-4)\/(-6)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 + (2 + -1 - 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 0.03. Let f = 0.37 + w. Let z(i) = i - 3. Let r be z(8). Which is the smallest value? (a) f (b) r (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -4*c - 4, -4 = j - 0*c + 4*c. Suppose j = 4*b - 100 - 20. Is 10 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1224\/34)\/((-4)\/(-21))*(-4 + (-42)\/(-9)).\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1 + sqrt(3888))**2 + 5*(sqrt(3) + 2) + sqrt(12)\/sqrt(36).\nAnswer: 232*sqrt(3)\/3 + 3894","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/7)\/((-26)\/(-91)). What is the biggest value in 0.2, t, 2\/19?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*-803\nAnswer: 1606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 302.75 + -306.75. Which is the fourth biggest value? (a) z (b) -2\/15 (c) -14 (d) -5\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 153 and 40.\nAnswer: 6120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/42 and -79\/78?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + (-33)\/5 + (-4)\/10. Does 19 divide (-135)\/(-30)*(-1 + (-82)\/o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -4*o**2. Let j(f) = -f**2 - 5. Let b(q) = q**2 + 4. Let x(i) = 3*b(i) + 2*j(i). Let n(y) = -2*y**2 - 5. Let a(k) = 2*n(k) + 5*x(k). What is a(z(p))?\nAnswer: 16*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 11001010111120?\nAnswer: -11001010111102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 4)*(-2*u**2 + 2*u**2 + u**5) - 2 - 3*u**5 + 2 + 24*u**4 - 16*u**5 - 24*u**4.\nAnswer: -18*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -1 (c) -41\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 20 - 36 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8374?\nAnswer: 2, 53, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2290 divided by -31\nAnswer: 2290\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 3*i = 0, -7*i + 5*i - 2*i = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -1024166\/37 and -27681 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*f - 42*f + 15 = 5*k, 5*k = 30. Solve 4*n + 22 = 20*s - f*s, -4*n - s - 10 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ehhh when four letters picked without replacement from {e: 4, h: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*v**3 + 10*v**3 + 3*v - 82*v - 12*v**5 + 6*v**3 wrt v?\nAnswer: -240*v**3 + 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15244813 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173152197?\nAnswer: 3, 59, 326087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -193826 divided by 974\nAnswer: -199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7932 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 4*l - 14 = 0, -865 = -2*q + 4*l - 861 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -41675 - 68020.395.\nAnswer: -109695.395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**2 - 21*p - 27. Let k be b(-9). Let r(q) = q - 2*q + 2*q + k*q. Let t(y) = 65*y**2. Determine r(t(i)).\nAnswer: 65*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - l - 3)*(-3*l + l + 3*l) - 4*l**2 + l**2 + l**2)*(3 + 3 - 7) + 0*l**2 - 2*l**2 + 0*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10656 and 60273.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25.1 in -1\/9, -0.61, -3\/5, 1\/7, -2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 9*n**2 + n + 1. Let i = 51 - 1. Let r = 53 - i. What is the smallest common multiple of r and q(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 207 and 912312.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -4*d - 0*g - 624, -4*g - 330 = 2*d. Let q = -156 - d. Let u(c) = 3*c. Let s(m) = m. Calculate q*u(y) - 7*s(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 7) in base 16?\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1204*-2.\nAnswer: 2408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 256, 282, 324, 382, 456?\n\"Answer: 8*j**2 + 2*j + 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 832, 1867, 2872, 3835, 4744?\nAnswer: 5587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of 16*p**2 - 130001\/24*p**4 + 0*p + 5\/6*p**3 + 0. Let g be a(5). What is g rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-12))\/((-1)\/10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 p, and 2 i when four letters picked without replacement from icippwciwdicxwiiwwp.\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 + 2*t**2 - t**2 + (2*t - 1 + 1)*(0*t + 3*t + 3*t))*(-10*t**2 - 46*t**2 - 29*t**2).\nAnswer: -935*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 100995927*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -3. Let o = 39 + -42. What is the biggest value in -0.1, h, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1789.0362 * -5.\nAnswer: -8945.181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + (sqrt(1539) + 0 + sqrt(19))**2).\nAnswer: 7604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.855298 hours to nanoseconds.\nAnswer: 10279072800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.3 (b) 0.4 (c) 117 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46 + 323\/7. Let t = 1\/42 + r. Let u = -4776.6 - -4777. What is the second smallest value in -4, t, u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of t**4 + 260*t**3 + 42*t**2 - 54*t + 34?\nAnswer: 12*t**2 + 1560*t + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 39 * 0.4\nAnswer: 15.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 9 = -3*k, 4*f - 1 = 3*k for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - h + 1. Let l(i) = 3*i**4 + i**3 - 20*i**2 - i + 1. Let c(r) = -l(r) + z(r). Find the third derivative of c(o) wrt o.\nAnswer: -72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ljlj when four letters picked without replacement from elmzeelzejjeeemjzj?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2285?\nAnswer: 5, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r + 10. Let g be q(-6). Let s(z) = -z + 4. Let l be s(g). Let v(f) = -f**3 - f**2 - f. Let c be v(l). Solve c*p = p + 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {k: 2, a: 6}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 165, 243, 323, 405, 489, 575?\n\"Answer: v**2 + 75*v + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2*(sqrt(99) - -2*(1*sqrt(99) + sqrt(99)))\/(sqrt(180)\/sqrt(5)) + 0.\nAnswer: 5 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + y**3 + 3 + (3*y + 2*y - 3*y)*(6*y**2 - y**2 - 3*y**2) + 2*y**3 + y**3 - y**3 + (-3*y**2 + 6*y**2 + 2*y**2)*(7*y - 18*y - 2*y).\nAnswer: -58*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 9) to base 13.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 125*s**3 + 11 - 12 - 62*s**3 - 62*s**3 + 143*s**2 to f*s**2 + b*s + n*s**3 + l and give f.\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16085824 a multiple of 296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2 + 345*x - 34717. What is z(71)?\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -153253*a*t**3 + 2*a*t**2 + 23*a*t - a + 2*t**3 - 2*t**2 + 20*t wrt t.\nAnswer: -919518*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5726 and -0.17.\nAnswer: -973.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-89326)\/3894 + 5 + 18.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 8*v**2 + 3*v + 4. Suppose -6*x + 27 = -9*x. What is the remainder when y(x) is divided by (-31)\/(14\/91 + 30\/(-26))?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*k + 19*k - 1116 = -786 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-22)\/33)\/((-2)\/(-15)). Sort 1\/2, n, 0.2, 15.\nAnswer: n, 0.2, 1\/2, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.27 - -1.93. Let u = 9883.67330045 - 9885.8733. Let q = d + u. Round q to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5822\/(-37843))\/(4\/(-1404)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -340 + 340. Let h = 62 + -38. Let o be ((-66)\/h - -3)\/(7\/8). Which is the closest to o? (a) i (b) -0.1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*i = 66*i + 18540. What are the prime factors of i?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 29 = -f, -3*f - 6*h + 8465 - 8447 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 878 = -1838. Calculate the lowest common multiple of 10 and x.\nAnswer: 1940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 5, 12594, -34, 3 in ascending order.\nAnswer: -34, -2, 1, 3, 5, 12594","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 77*v + 140 + 322 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6005121 is divided by 1501277?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 2*r**2 - 2. Let i be s(3). Let b be 5\/(-2)*48\/(-40). Suppose -2*v = q - i, -2*q - b*q - 2*v = -19. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -380*m**3 + 1528*m**2 - 1172*m + 24 = 0?\nAnswer: 2\/95, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 414271 or 414270?\nAnswer: 414271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 5*p - p. Let u(o) = p*o - 15 + o - 2*o + 18. Let d be u(3). Solve 0 = 2*f - d*f + 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s - 2*s - 192. Suppose -s*i + 57*i - 1143 = 0. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-3))\/((-2)\/(-6)). Let y(u) = u - n + 3 + 2 - 4. Let o(v) be the second derivative of v**4\/12 - v**3\/3 + v**2 + 71*v. Determine 2*o(c) + 2*y(c).\nAnswer: 2*c**2 - 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29682 is divided by 7351?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 195 + 4?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1489, 1493, 1501, 1513?\n\"Answer: 2*q**2 - 2*q + 1489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, v: 1, s: 2, g: 1, y: 2, u: 2}. Give prob of sequence nug.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 714468885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -4*z + 5 + 6*z - 2. Let j(r) be the second derivative of r**3\/6 + 2*r**2 + 895*r. Calculate 3*j(q) - 4*v(q).\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -142c (base 13) in base 10?\nAnswer: -2911","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of 0 - 19\/6*h**3 - 1\/60*h**5 + 11*h**2 + 7\/12*h**4 + 0*h. Let u be w(13). Let l(k) = k**2 + 6*k + 3. Determine l(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) 2 (b) -0.04 (c) -0.3 (d) -10 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -19*k**3 - 14*k**2 + 3*k. Let p(i) = -77*i**3 - 56*i**2 + 13*i. Let v(o) = -18*n(o) + 4*p(o). What is the third derivative of v(x) wrt x?\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 3*k - 22. Which is smaller: k or -21?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 9*s**2 + 3. Let k = 14 - 5. Let m be a(k). Let q(z) = -z + 7 - 2 + m*z + z. Determine q(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + (9\/(-5))\/(-1). Let f = 79 - 75. Let q be ((-100)\/16 + 5)*f\/(-10). Which is the nearest to q? (a) -2 (b) 4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -341 + 950. Calculate the smallest common multiple of 696 and y.\nAnswer: 4872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.23 rounded to 0 decimal places?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8.72909 and 0.04312.\nAnswer: -8.68597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-17)\/(-51) - (-8)\/(-6))*-9. Let d be w*3\/(-72) - 38\/(-16). Suppose d*l - 5*g + 6 = 15, 5*g = -l - 3. Put -7, l, -4, -5 in descending order.\nAnswer: l, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5 + -4)\/(1 - 2). Let c(v) = -v**3 + 5*v**2 + 7*v - 5. Let a be c(6). What is the nearest to j in a, -0.2, 2\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -186*g**2\/5 - 2828678*g\/5 + 30416 = 0. What is g?\nAnswer: -15208, 5\/93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000100075 rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-32)\/6*3\/(-2). Suppose -2*p - 2 = -q. Let r be 4*p\/12 + 26. Which is greater: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*t**2 + 63*t**4 + 3*t**2 + 27*t**4 - 9*t + 62*t - 114*t**4 to w + x*t + d*t**3 + k*t**4 + a*t**2 and give x.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.18437 meters in micrometers?\nAnswer: 71184370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*i + 183*i + 16191 = 4578 for i.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 6 + (-11)\/((-143)\/(-26)) + 13\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 2*y = 33, 0 = 4*g - 8*y + 7*y - 29. Let c(v) = v**3 - 7*v**2 - 2*v + 9. Give c(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 20 = -y - 5*g, 3*y - 2*g - 8 = 0. Let p = -14 - -9. Put y, 1, p in ascending order.\nAnswer: p, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -109 - -27. Let j = k - -86. Solve -j*z + 0 = 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1a31 (base 15) to base 3\nAnswer: -21210001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1255.\nAnswer: 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 3, 4025865 in decreasing order.\nAnswer: 4025865, 25, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 23*o**2 + 46*o - 20. Determine d(-25).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 530431 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2282128 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 460226839?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3707, -3711, -3717, -3725, -3735, -3747?\n\"Answer: -b**2 - b - 3705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 4 - -2 - -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3566335043.\nAnswer: 47, 75879469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of 0*v + 0 + 0*v**6 + v**2 + 0*v**3 + 0*v**4 + 1\/70*v**7 - 1\/30*v**5. What is the third derivative of j(x) wrt x?\nAnswer: 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*b + 4727 = 109*b. Let l(h) = 54*h + 56*h + 70*h - b*h. Suppose 0*d - 5*m - 21 = -4*d, 3*m = 5*d - 10. Calculate l(d).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 2. Let u be 16\/128*(-78)\/1313*(-64)\/(-84). Which is smaller: q or u?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5284609.7 from 10569491.\nAnswer: 15854100.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4914 + -3487. Suppose 16*a - s = 3981. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 82*b**3 - 5*b**2 - b - 5. Let i(d) = 41*d**3 - 3*d**2 - d - 3. What is 3*g(t) - 5*i(t)?\nAnswer: 41*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -266 (b) -0.06 (c) -1 (d) 3 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 911*o + 440*o + 13 - 1297*o.\nAnswer: 54*o + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 0.1. Let y = -27\/56 + -1\/56. Let o be 0\/(-1) + (-1)\/5*-5. Which is the second smallest value? (a) 5 (b) o (c) v (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -x**6\/120 - 5*x**4\/4 + 7*x + 5. Let f(u) be the third derivative of z(u). Let b(c) = 17*c. Determine b(f(l)).\nAnswer: -102*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9227 + -9227. Solve -3*v + 5*f - 9 = n, -4*v + f + 11 - 6 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of 199*n**6\/15 - 99*n**2 - 524*n. Find the first derivative of t(c) wrt c.\nAnswer: 1592*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42885?\nAnswer: 3, 5, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 218?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.8 - -244241845.4.\nAnswer: 244241841.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275 is divided by 218?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16)\/(-32) - 3\/(-2). Suppose -1326 = -11*o - i*o. Let d = -13 + o. What are the prime factors of d?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -l - 57, 68 = 3*m + 2*m + 2*l. Let p be 66\/m + 14\/49. Solve 3*g + 3 = -2*n, 5*g = -4*n - n - p for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*v + 44*v - 80*v + 62*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 120, 202, 288, 378?\nAnswer: 472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g + 20. Let d be f(13). Suppose 30 + 96 = -d*m. Is 16 a factor of 192\/m*(-9)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 + 8*i - 6.\nAnswer: -2*(i - 3)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 4090*g + 32*g**3 - 10*g**3 - 4092*g + 1 in the form a*g**2 + n*g**3 + r*g + j and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0*10\/40*-2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -125 by 31.\nAnswer: -125\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3 - 1. Let m(j) be the second derivative of -3*j**5\/20 + j**3\/6 + j**2\/2 - 16*j. What is the remainder when m(s) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 5 + 15*t + 24*t.\nAnswer: 39*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001042360674 rounded to seven decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*m - 1 = x, m - 60 = 5*x. Let f(d) = d**2 + 10*d - 15. Let k be f(x). Let u = -4 - k. Solve u*z + 4 = -2*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 2:11 PM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ui when two letters picked without replacement from {w: 2, h: 9, q: 1, u: 1, i: 7}.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 2*w + 11*x - 12*x + 45 = 0, 9 = 16*x - 13*x for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (5 + (-17 + 13 - -7)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 115791432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 523, 11746, 42197, 101488, 199231?\nAnswer: 345038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33 by -4161.\nAnswer: -11\/1387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/9 and (-3)\/(120\/64) - 328\/(-330)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssssss. What is prob of sequence sss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2037445?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 52734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15772 - -15774. Is 63\/43 <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88780023 to the power of 1\/2, to the nearest integer?\nAnswer: 9422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206 = -5*z - 3*q, -2*z - 11*q + q - 65 = -3*q for z.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13696, 28074, 42452, 56830, 71208?\nAnswer: 85586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (2 + (-2 - 4) - (-17 - -16)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 2*p**2 + 4*p + 3. Let l be h(-2). Let c(r) be the second derivative of 5*r**3\/6 - 2*r**2 - 6092*r. Let n(y) = -6*y + 5. Give l*c(t) - 4*n(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o - 17*o = -15. Suppose 0 = 5*t - t. Suppose t = 5*q - o + 13. Which is smaller: 2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by -6*(22\/(-4) + (4 - 0))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -w**5 - 243*w**4 + 39429*w**3 - 448393*w**2 + 1651380*w - 1820700 = 0.\nAnswer: -357, 2, 5, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/6)\/c*c**(-5)*c**(-9)*c**4*c*c)**44)**20 assuming c is positive.\nAnswer: c**(-23320\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -149317\/4 + 37330. Factor 0 + 27\/4*u - 9\/2*u**2 + h*u**3.\nAnswer: 3*u*(u - 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*p + 238 = 53*p. Calculate the remainder when 43 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2f47c - ca?\nAnswer: 2f3b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 4*m + 29 = 0, 0*r - 3*r - 3*m + 24 = 0. What is the derivative of 82*i**r - 5*i + 87*i**3 - 62 - 164*i**3 wrt i?\nAnswer: 15*i**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 69 - 111 = 0. Suppose 0*r + 3*r = o. Let u be r + (-2 - (-5 + 1)). What is u rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124710625 to the power of 1\/5, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -226 + 1541. Let q = j + -258. Solve -4*p - 11 = q for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 1713 = -6465. Is w a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 8*g - 1123. Let k = 147 - g. Suppose -2*o - k*n = -987, o + n - 1965 = -3*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**3 - 22611*w**2 - 127825635*w - 127803025 = 0. What is w?\nAnswer: -11305, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -147 less than or equal to -145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + v**2)*(-214 + 26 - 279) - 6*v**2 - 9*v + 9*v as c + h*v + q*v**2 and give q.\nAnswer: -473","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 54008939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, o: 1, t: 1, e: 6}. Give prob of sequence eoee.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/((sqrt(132)\/sqrt(4))\/sqrt(3)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-62 + 24 - 3)*(6*o - 2*o - 2*o).\nAnswer: -82*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 899?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -19\/7 (b) -2\/29 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*r - 9*r + 132 = 21*m - 5*m, -2*r = 10*m - 12*m + 24 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11802 is divided by 157?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 8:23 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191*d**3 + 564407*d**2\/5 - 1126172*d\/5 + 2356\/5 = 0. What is d?\nAnswer: 2\/955, 2, 589","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -347 - -195. Let a = f - -60. Let h = -92 - a. What is the third biggest value in -9, h, -2?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 5*b - 7 = -0*b, 5*l + 5*b = 5. Suppose l*x - 5*k + 11 = -7, -12 = 5*x - k. Is 13 a factor of -4*x*26\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 801.55 - -877.67. Let h = o + -1784. Let a = 107 + h. Round a to one dp.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23385 take away -2074?\nAnswer: -21311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1469639493.\nAnswer: 3, 7, 19, 1227769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44\/(-6) + (13 + 9)\/2?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 134293 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12 - 3) + (-114)\/12. What is the nearest to 0.1 in o, 0.2, -31?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 11:24 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*f + 2, -5 = 4*f - 3*l - 30. Suppose 2*d - 297 - 56 = -3*z, -f*d = -z - 671. What are the prime factors of d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(432))\/sqrt(9) + 6*(2 + sqrt(30)\/sqrt(10)))*-5)**2.\nAnswer: 6000*sqrt(3) + 11100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**3 + 7*b**2 + 9*b + 9. Let j be r(-2). Solve 0 = 8*u + 35 - j for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1.745062 millimeters?\nAnswer: 0.1745062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 5:10 PM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 60 * 1.501\nAnswer: 90.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/4*0\/1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5656 + 5653. Sort -4, 3, j, 5, -5.\nAnswer: -5, -4, j, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162 is divided by 120\/20 - 3\/(-3)*36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2076 - -2134. Let j = 0 + 12. What is the remainder when b is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2303 times -0.12\nAnswer: 0.027636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 136\/3 - 45. Find y such that 1\/3*y**2 + 2\/3*y + c = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 38131.54 micrometers?\nAnswer: 0.03813154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 38*o**2 - 1 - 4 + 7.\nAnswer: -38*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3595 + 0)*8\/(-20). Is n\/(-5) + (-33)\/55 - 1 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5984?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5084653 nanometers to millimeters.\nAnswer: 0.0000005084653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20\/83236653 or -1?\nAnswer: -20\/83236653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*k**2 + k + 8188 - 4331*k**3 - 7*k**2 - 8169 wrt k.\nAnswer: -25986","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121200 + -100110?\nAnswer: 21020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -1038643, 0.06?\nAnswer: -1038643","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 23*z. Let q(f) = -5*f + 37. Let v(l) = -37*l + 260. Let k(c) = 15*q(c) - 2*v(c). What is k(w(u))?\nAnswer: -23*u + 35","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3.1, -5, 2\/27?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 368629576 a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -210*k + k**2 + 210*k.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 287063124?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 502 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15396751 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*a - 10 = 19*a. Suppose a*c - 4*c = 0. Suppose 4*g + 2 = -h, 5*h + 4*g = -1 - 9. Put c, -3, h in decreasing order.\nAnswer: c, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 3 = -3*m. Let j = m - -14. Let t(k) = k + 2. Let i be t(0). Solve -i*c + 4 = -2*h, -3*h + 5*c - 25 = -j for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2757*o**2 - 2*o**6 - 49266*o**4 + 51025*o**4 + 3253*o**2 wrt o?\nAnswer: -240*o**3 + 42216*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -72, 2\/11, -9, 0.4, -2, 6.8 in ascending order.\nAnswer: -72, -9, -2, 2\/11, 0.4, 6.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 9)*(2*u - 3*u + 4*u)*(-u - 4*u + 2*u)*(-2 + 4 - 4) to q*u**2 + f*u + b and give q.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 7.1.\nAnswer: -28.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 355680 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6026 (base 7) to base 6.\nAnswer: 13342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((18\/15)\/(-1))\/(((-1012)\/(-345))\/(-22))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 274*p**2 + 2*p - 7. Is f(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3038 + 389 = 0. Suppose -2653*t = -f*t. Factor -1\/7*m**2 - 1\/7*m + t.\nAnswer: -m*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130320 is divided by 9795.\nAnswer: 2985","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 25*t**2 + 1. Let u be j(1). Suppose -5*b + u = -3*b. What is the remainder when 36 is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2404*l - 22. Let z be q(-5). List the prime factors of z\/(-90) + 1\/5.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/6)\/(3 - 520\/168). Let j(s) = -2*s + 9. What is j(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37092.112 less than 0.0230509?\nAnswer: 37092.1350509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, e: 1, g: 11}. Give prob of picking 1 v, 2 g, and 1 e.\nAnswer: 55\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 1001721?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26840 and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 13 = -39. Let m be (-6)\/45 - p\/30. Let d(g) = 7*g**2 - g - 2. Let z be d(m). Sort z, -2\/9, -0.4 in ascending order.\nAnswer: -0.4, -2\/9, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m**4 - 6*m**4 - 4*m**4 + 10*m - m**4 + 2*m**2 + 3 - 1 to the form u*m**4 + h*m + b + k*m**2 + c*m**3 and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 478257400 to the nearest 100000.\nAnswer: 478300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 440023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) -0.11 (c) -1 (d) -103 (e) 11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x + 104. Give l(-23).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/369 and 330\/770 + 205\/(-756)?\nAnswer: 4428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7815a8 (base 12) to base 11\nAnswer: 1095256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 - -108\/5. Let j = -1.07 + 1.1. Let m = j - 1.33. What is the nearest to n in -3, m, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + c**2 + 4*c)*(-4*c + 3*c - c) - 18*c**3 + 17*c**3 - 19*c**3.\nAnswer: -22*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 + -3. Suppose -11 = 4*c - z. Put c, -3, 4 in ascending order.\nAnswer: -3, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 402763?\nAnswer: 402763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-66)\/170 + (126*15\/8100)\/((-35)\/(-45)).\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in 2, 9, 0.3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.2 + -1. Let j = -1 + 4. Let o be 1 + j + (4 - 8). What is the closest to o in -0.5, l, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**2. Let o(s) = -s**2 - s - 1. Let a(l) = 30*l**2 + 33*l + 33. Let d(x) = 2*a(x) + 66*o(x). Give n(d(f)).\nAnswer: 72*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 4.798176ug?\nAnswer: 0.000000000004798176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -36\/1691?\nAnswer: -36\/1691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-5\/6))\/k)\/k**(-4))\/(k**(8\/3)*k**4)*((k\/((k*k*(k**(-4)\/k*k)\/k*k*k*k*k)\/k*k))**(-27))**(2\/25) assuming k is positive.\nAnswer: k**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22187, -44907, -67641, -90395, -113175, -135987, -158837?\nAnswer: -181731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -39*f - 835. Let p(k) = -47*k + 14. Give w(p(v)).\nAnswer: 1833*v - 1381","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -27, -41, -67, -111, -179, -277?\n\"Answer: -x**3 - 7*x - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10200128.\nAnswer: 2, 47, 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5909*q**6 - 530*q**2 - 3*q wrt q?\nAnswer: 709080*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, i: 2, c: 3, g: 6}. What is prob of picking 2 j and 2 i?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7434 = 29*s - 47*s. What is the remainder when s is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from txdtmmkkmxmxmttxmmxx. Give prob of sequence td.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 1 - 2 + 2*s**2 - 13 as n*s + h*s**2 + q and give q.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (376 - 376 - 71*p - 71*p)*(3 + 3 - 4)*(2*p - p + 2*p) as z + s*p**2 + a*p and give s.\nAnswer: -852","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 383520\nAnswer: 191760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232930764.\nAnswer: 2, 3, 11, 521, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 - -28. Suppose -r*x = -4*x + 97. Is 23 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 41356831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21\/55 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 + 28. Let k = 5.94 - -0.06. Let w = k - 6.3. Which is the closest to -0.1? (a) 1 (b) w (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-8) - 834\/8. Let y = -264 - j. What is y rounded to the nearest ten?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6544?\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 161*b**3*g**3 + 384*b**3*g**2*o**3 - 2*b*g**3*o**3 + 18*b*g**3*o + 19*b*g**2*o wrt g?\nAnswer: 966*b**3 - 12*b*o**3 + 108*b*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 + -2)\/(-3)*6\/2. Let y = 1.2 - 0.2. What is the closest to z in y, -0.4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -104928, -209872, -314816, -419760?\n\"Answer: -104944*g + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -20*h**2. Let s(z) = z**2 + z - 1. Let f(q) = 44*q**2 + 55*q - 55. Let k(g) = 2*f(g) - 110*s(g). What is x(k(b))?\nAnswer: -9680*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -151 - 1541511?\nAnswer: -1542102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35623*l**3 - 2*l**2 + 6*l - 358.\nAnswer: 213738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b**2 - 3*b**2 + 2*b + 9*b + 3*b**2 as r*b**2 + f*b + q and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 24*j**3 - 3. Let a(x) = -49*x**3 + x + 7. Let p(w) = 2*a(w) + 5*g(w). Suppose 1 = -6*f + 7. What is the tens digit of p(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 434 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 21*z**2 - 3*z - 2. Let g(c) = 11*c**2 - 2*c - 1. Determine 7*g(i) - 4*s(i).\nAnswer: -7*i**2 - 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and 8550931511495.\nAnswer: 8550931511495.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/(sqrt(24)\/sqrt(6)*-1))**2 + (-1*sqrt(34)\/sqrt(2))**2 + -4.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2514847 to the power of 1\/2, to the nearest integer?\nAnswer: 1586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*l + 3*l = 10*l - 11*l. Let d(h) be the third derivative of -3*h**2 + 0*h**5 + l - 1\/24*h**6 + 5\/3*h**3 + 0*h + 5\/8*h**4. Factor d(b).\nAnswer: -5*(b - 2)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21368 is divided by 2374.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 438*f - 658 - 5287 - 889*f + 449*f to the form v + p*f and give v.\nAnswer: -5945","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 3 = 2*s. Let f(i) = 5 + 0*i**3 + 4*i**3 + i - i**2 - 2*i**3 + s*i. Let y(x) = -2*x**3 + x**2 - 5*x - 6. Let j = -9 - -4. What is j*f(c) - 4*y(c)?\nAnswer: -2*c**3 + c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p + 33. Let t be l(12). Let h be (2 + (-3)\/2)*-2. Let v be (h - -7)*3\/(-24). Sort v, t, -2\/9 in descending order.\nAnswer: -2\/9, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -51?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 13080 (b) 3 (c) 0.12 (d) 1\/4 (e) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(1300) + 2 - -5*(sqrt(1300)*3)**2.\nAnswer: -30*sqrt(13) + 58502","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -3, 3, -890258?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + f + 2. Let t be x(0). Let p be -3 + 3 + t - 7. Let m = 10 + p. Calculate the highest common divisor of m and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19345471?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -s**7\/1260 - s**6\/72 - s**5\/15 - 16*s**4\/3 + 4*s + 2. Let d(p) be the third derivative of i(p). Factor d(r).\nAnswer: -2*(r + 1)*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13875916 is divided by 2289?\nAnswer: 2287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2779 bigger than -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -36, -51, -66, -81, -96?\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 3*m + o - 520, -4 = 2*o. Let x be (-3 + m\/56)*4. What is the closest to -1\/3 in -5, x, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.378 and 185?\nAnswer: 185.378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 13*c**2 - 5*c + 16. Let i(m) = m - 2. Let w(z) = -6*i(z) + u(z). What is the units digit of w(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -6*t**2 + 17*t + 114. Give z(-5).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -716.1 to the nearest 10.\nAnswer: -720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.06 + 1.74. Let d = 1.8357 - 0.0877. Let l = u - d. What is l rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 1 = 3. Let s be 0 + 5 + x + -3. Suppose -m + 12 = c, s = -3*c + 9. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60517.8 rounded to the nearest one hundred?\nAnswer: -60500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2 + 3*k**2 + 1 - 1 + 3*k**3 + 3*k. Let g(i) = -39*i + 5*i**2 - 41*i + 85*i - 4 + 6*i**3. Calculate -5*f(t) + 3*g(t).\nAnswer: 3*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 122 (base 6) to base 16\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/136960 and -45\/10080256.\nAnswer: 50401280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2592 + -2591.814. Round d to three dps.\nAnswer: 0.186","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*s = 1106307. Let b be -4 + (s\/30 - 2). Let k = b + 12308. Calculate the common denominator of k and -25\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (((-56)\/(-35))\/8)\/((-1)\/(-20)). Solve k - 7 = -2*c, -11 = z*k - c - 12 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 462776877?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82 - 18 - 18 - 26 - 20 - 5*k.\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2890519 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 27)*(-11)\/(-22). Suppose -12*t = -c*t + 16. Calculate the highest common divisor of 48 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 665 = 5*b + 5*x, -12*b - 4*x + 121 = -11*b. Suppose -12*a + b = 29. Solve z + a = -2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13685?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 327 - 6*k**3 - 1154 + 5*k**3.\nAnswer: -k**3 - 827","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 326 is divided by 83?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -9?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 65 + -60. Let z(n) be the second derivative of -5\/2*n**4 + 0 - 14\/15*n**s + 28\/9*n**3 - 4\/3*n**2 + 4*n + 49\/45*n**6. Find c, given that z(c) = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3.9 and -40630549.\nAnswer: -40630552.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 52674 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - 14*z + 20. Let v be t(-15). Suppose -3 = v*j - 8*j. Let p be j\/(11\/2) - (-306)\/495. Which is the nearest to -1\/2? (a) 1\/7 (b) -3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -333 - -332.9. Let z = 0.045 + 0.055. Which is the closest to -14? (a) 1 (b) r (c) z (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5630*i + 24739 - 24739)*(2*i - i - 2*i)*(3 - 3 - 2*i).\nAnswer: -11260*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*r*y**2 - 138*r*y + r + 126008*y**2 + 5*y - 71 wrt y?\nAnswer: 4*r + 252016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 8:41 AM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 8, n: 6, j: 3}. What is prob of picking 2 j and 1 n?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**4)**(-16\/3)*d\/d**(-13)*d**4*d)**(2\/37) assuming d is positive.\nAnswer: d**(-14\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 5*d - 35 = -12, -3*n + 2*d + 13 = 0. Let y(q) = -q**2 + 13*q - 12. Let p be y(n). Sort -2, -47, p, 5.\nAnswer: -47, -2, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196*h + 181*h + 90 = 0 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c*p**3 + 3*c*p**2 + 22*c*p + 21*p**3 + p wrt p.\nAnswer: 6*c*p + 6*c + 126*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 b when two letters picked without replacement from bfu.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1188 and 15444.\nAnswer: 15444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10811*r - 38475 = 10136*r for r.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (3 + -5 + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 5*q = -0 - 2, 0 = 2*j + q + 6. Let r(m) = -1. Let g(t) = 2*t - 6. What is j*r(s) + g(s)?\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 11:30 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 645088 and 28576.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + -22 + (0 - 1). Let v = t + 94. Is v a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 + 131)*((-2 - 222\/(-24)) + (-10 - -3)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wrnku. What is prob of picking 1 w and 1 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 17*c**2 - 42*c - 76. Is 19 a factor of q(-19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of -b**5\/60 - b**4\/6 + b**3\/2 - b**2. Suppose 2*y - p + 12 = 5*y, -y - 4*p = 7. Suppose 0 = y*z - 4*z + 4. What is g(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/32, -6\/7, 319 in decreasing order.\nAnswer: 319, 3\/32, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + 16 - 10) + (20 - 2).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m - 3. Let t be l(-3). Let u(p) = -2*p**3 - 2*p**2 + 2*p. Let y be u(-2). Suppose -2*n + 6 = -y. Solve t*d = -n*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**20)**(6\/11)*(b**(2\/17))**(-47) assuming b is positive.\nAnswer: b**(1006\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 3*n - 24 = -3*q, -3*n + 2*q = -24. Suppose 7*m - 479 + 332 = 0. Suppose -m*u + 16*u = -320. What is the highest common factor of n and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 3*q + 6. Let d(r) = r**2 + 3*r + 1. Let m be (4\/5)\/(2\/(-10)). Let y be d(m). Is 11 a factor of t(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-4 + 2 - (-11 - 845\/(-117)))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -b - 4. Let s(v) = v - 1. Let z be s(5). Let q = -0.07 + -0.23. What is the biggest value in z, q, b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - (40 - 70)) + (-2 + 1 - -1).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -95\/897 - -2\/69. Let r = 7.7 - 3.54. Let o = 1.16 - r. Sort o, 4\/5, a.\nAnswer: o, a, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 32200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 352049, 352679, 353309, 353939, 354569, 355199?\nAnswer: 355829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 179*i + 1559. Give w(-9).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(-4)*(-288)\/(-45). Solve -12 = -3*x, 3 - j = 5*z + 3*x for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 337371 and 321.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -5*q**2 + 33*q - 7. What are the prime factors of w(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of o**5\/60 - o**4\/8 - 2*o**3\/3 + 4*o**2. Is f(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -522.418 to the nearest 10.\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/19228 and 33\/68.\nAnswer: 326876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54455 is divided by 125.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-441)\/616 + 6\/8. Suppose -22*o = -3*o + 19. Is w less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 22697634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.33 - 143.67. Let t = 143 + z. Which is the smallest value? (a) -1 (b) t (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46097 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 3:17 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1530 in 4, 2, -12, 1\/4, 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -35. Suppose -3*s = -3*a + 63, 63 = 4*s - 7*s - 4*a. Let m = s - f. Calculate the greatest common factor of m and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m - 5*m = -7*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - a - 39 = 0, 0 = 4*b - 7*a + 10*a - 43. Suppose 0 = 3*y - 8 - 16. Suppose -y = f - 3*f. Calculate the smallest common multiple of f and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 23, 49, 91, 149, 223, 313, 419?\n\"Answer: 8*y**2 + 2*y + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 5*w - 8, 2*i = 4*i - 3*w. Suppose n + 5*d = 23, -i*n + n + 3*d + 31 = 0. Suppose -n*l + 5*l + 465 = 0. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (240\/15)\/((-6)\/(-9)*58\/(1624\/(-126)))\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kskcmsmgscscsmgmsk. Give prob of sequence ms.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-16)*480\/360*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 34*i**3 - 14245*i**2 - 411*i - 3390. Calculate k(419).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a - c34?\nAnswer: -c27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t\/(t**(-19)\/t)*t*t*t**(1\/4))\/(((t*t**(3\/2))\/t)\/t)**27 assuming t is positive.\nAnswer: t**(47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.26 or -48?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 384 and 864?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 4*z**2 - 5*z + 2 - 4*z**2. Let h be m(5). What is d in -6 + 2*d + 2 + 0*d + 2*d**h = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -4, -291, 3, 2 in ascending order.\nAnswer: -291, -4, 2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 75 = -2*g. Suppose 220 = 5*l + g. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2. Let a = -26 - -26. Let s(y) = 0 - 49*y**2 + 40*y**2 + a. Calculate s(v(h)).\nAnswer: -9*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 8:13 AM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/1 + (6 - 5). Suppose -k*f - 10 = -22. What are the prime factors of ((-18)\/4)\/(f\/(-18))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-7 + (14 - 11) + 6)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30453122 + 30452994.99901. Let y = 127 + s. What is y rounded to four decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 61 - 41. Is t a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5646284*1.\nAnswer: -5646284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1393 or -1437?\nAnswer: -1437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4700 = -o - 1293. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j**3 + 824*j**2 + 5343*j - 1117. What is o(281)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6988 + -3339. Suppose -28*a + b = -29643. What are the prime factors of a?\nAnswer: 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25828, 16, -2\/3 in ascending order.\nAnswer: -25828, -2\/3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nknhnhmcnk. What is prob of picking 2 h?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 16 + -12 + (-252)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q**3 - 11*q**3 + 2*q**3 - q**3 - 6*q as z*q**2 + p + f*q + x*q**3 and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/8)\/(-7*(-2)\/8).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1517016355 to 3 decimal places.\nAnswer: 0.152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 229 by 3.\nAnswer: 229\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-102 - 24 - -92) + 3.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 205211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2654200 divided by 2\nAnswer: -1327100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -268 = -10*f - 288. Let m(r) = -18*r + 8. Determine m(f).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 13. Suppose -g + 47 + 6 = b. Let n = g + -28. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(11) + -3 - ((sqrt(11) + -5)**2 + sqrt(11))*4) + ((sqrt(66)*1 + sqrt(66))*-5 + sqrt(66) - sqrt(66))\/(sqrt(24)\/(sqrt(8)\/sqrt(2))).\nAnswer: -152 + 27*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 12:56 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12487151, 24974295, 37461439?\nAnswer: 49948583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b - b + 8. Suppose -4*a - 12 = -6*a. What is the least common multiple of b and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -4450\nAnswer: 1\/2225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 3 - 0. Let k be -3 + (-64694)\/(-7) - (m - 1). Let o = k - 3578. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10120232012 (base 4) in base 9?\nAnswer: 2142238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/3 - 70588622*o - 3737065166894163.\nAnswer: -(o + 105882933)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 165093217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 97.7679.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96152?\nAnswer: 2, 7, 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -27, -34, -43, -54, -67?\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2 = -10. Suppose -4*q + 81 + 19 = 0. Let v be (-4)\/(-2) - q\/15. Which is the closest to v? (a) -1 (b) 2\/7 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 5*x**2 + 16*x - 98. Let k be n(4). Calculate the greatest common divisor of 46 and k.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 5\/216231?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1926*i + 17864 + 16804 = 0 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 5*d**2 + 5*d - 1. Calculate the lowest common multiple of z(-3) and 202.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 0*z - 5. Let m(b) = b + 4. Let t be m(z). Let d be t - (-2 - 0 - -3). Put 4, d, -5 in increasing order.\nAnswer: -5, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101102021112 (base 3) to base 11.\nAnswer: -46337a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -25*m + 29*m - 4*l, -2*m - 3*l - 30 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, k: 4, a: 3, n: 3, q: 1, p: 2}. What is prob of sequence okqp?\nAnswer: 1\/1785","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.002322 + -0.0028. Round b to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2246991 (b) 5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.7, -1, -3, -1.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 45, -1\/5, -2\/9, 2\/11 in descending order.\nAnswer: 45, 2\/5, 2\/11, -1\/5, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 23, 39, 59, 77, 87?\n\"Answer: -z**3 + 8*z**2 - z + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 + 3*f + f**2 - 6*f - f.\nAnswer: -f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -5.1. What is the nearest to 1 in 0.3, -0.3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2648\/(-6) - ((-110)\/33 - -3). Let h = -438 - w. Solve 3*f = -2*q + h + 3, -q = 4*f - 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 21*x - 6. Let q be y(-3). Let k = 118 + q. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2252*p**2 + 469*p**2 + 7 - 1 - 2412*p**2 - 8 as q*p + l*p**2 + d and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1791*i**2*y**2 + 265*i**2 - 2284*i*y**2 - 35*i - 206*y wrt y?\nAnswer: -3582*i**2 - 4568*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5460.6 - 1783.\nAnswer: -7243.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (116\/6 - 0)*(-207)\/(-138). Let n = -20 + r. Is 4 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, v: 2, n: 2, c: 1}. What is prob of sequence rncn?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33216.\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 8\/4131, 7\/347 in decreasing order.\nAnswer: 1, 7\/347, 8\/4131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 8, -2*b + 12 = -n. Suppose b = 2*o, -2*o + 52 = z - 0. Calculate the greatest common divisor of 22 and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 + 16 + (-1 - (3 + 8))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(99)*2*5*6)\/(sqrt(81)\/(-5*sqrt(9)) + (sqrt(441) - sqrt(9) - sqrt(9))*1).\nAnswer: -125*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 602582?\nAnswer: 2, 17, 37, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4*f + 5040 = 1049, -3*f + 6670 = 5*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (3 + 2)) + -6 - -5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 402527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1626.258 - 1662.25935. Let t = -784 + 820. Let z = v + t. Round z to four dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/6)\/((-3)\/(-27)). Let h(w) = w**3 - 13*w**2 + 12*w + 6. Let i = 10 - -2. Let q be h(i). Solve -2*m + 4*m = 3*l + 9, s*l + 3*m = q for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9304957 + 1674949327\/180. Let x = -2888\/9 + z. What is the common denominator of 222\/32 - (0\/(-2) + 2) and x?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -13, -20, -31, -46?\n\"Answer: -2*g**2 - g - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182*h + 29 = -1609 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 5, -0.8, 25, 19\/2, 6?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - -82638158.\nAnswer: 82638159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.265 * -2\nAnswer: 0.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -110, -1808, 56, -3, 3, -1.\nAnswer: -1808, -110, -3, -1, 3, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(405) + 2) + 2 + 5*(sqrt(80)*4 - sqrt(55)\/(sqrt(33)\/sqrt(3))))**2.\nAnswer: -480*sqrt(5) + 4564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z**3 - 31*z**2 + 33*z + 24. List the prime factors of p(-14).\nAnswer: 2, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1 (b) -5 (c) -4 (d) -8569 (e) -1\/2 (f) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*k**2 + 3*k - 3*k + 0*k.\nAnswer: 13*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -15549, 0.5, -4, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -66459321 + -2?\nAnswer: -66459323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-3 - (-3 + 6))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of -r**4\/12 + 10*r. Let i(q) = -2*q**2 - 4*q. Determine i(d(k)).\nAnswer: -2*k**4 + 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 416 and 2756013.\nAnswer: 88192416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-12) + 30\/(-18). Which is the third smallest value? (a) 5 (b) d (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 + 0.4. Suppose c + 5*x + 18 = 0, -26 = -3*c + 88*x - 83*x. What is the nearest to 0 in q, c, -61?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/22 and 99\/1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (101\/1818)\/((-1)\/15)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**2. Let u be -4*(-9)\/(-24)*2. Let x(n) be the second derivative of n**3\/6 + 2*n. Let o(j) = -3*j. Let c(v) = u*o(v) - 7*x(v). Determine c(s(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -154*21\/231 + (-814)\/(-58)?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*f + 3*f + 10*f as r + c*f and give c.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 0 - 2 + 2*v**2 + 18*v**3 + 1. Determine t(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 215*o - 75*o - 184800. Calculate the lowest common multiple of 800 and o.\nAnswer: 26400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40106*u + 50183*u = -657224 - 300091 for u.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -285*c**2 + 969*c**2 - 624*c**2 - 100*c**2 - 718*c**2.\nAnswer: -758*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55.56 + -56.56. Which is the biggest value? (a) x (b) 0.2 (c) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2198229 or -2198236?\nAnswer: -2198236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -409?\nAnswer: -1636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1135, -4497, -10075, -17863, -27855, -40045, -54427, -70995?\nAnswer: -89743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 18801937 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Divide -81 by 4.\nAnswer: -81\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52*y + 52*y + 51*y**2 + (-2*y - 1 + 2 - 2)*(-y + 5 - 5) to t + c*y**2 + i*y and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 122882 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 13. Let k = -0.4 + 3.4. Suppose 7*t = 2*t + 5. What is the closest to t in k, r, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 - 33. Let z be 29*((g - 0) + -13). Let s be 1\/(-3) + z\/36. Which is smaller: s or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**5*q**7\/q)\/(q*q**(-1)\/q)**21*(q**6*q*(q\/(q\/(q**(-5)*q)))\/q)\/(q*q\/(q\/q**2))**(-5\/4) assuming q is positive.\nAnswer: q**(115\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 4, 3*u - 4*u + 5*i = -21. Suppose 0 = -2*x - 7 + u. Is x bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31822.\nAnswer: 2, 7, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-171)\/5016*((-107)\/3)\/(0 - -1) and -61\/64.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2 = m + 2*l, 2*l = 8. Let g be (m\/4)\/((-5)\/10). Suppose g*v = 65 + 20. Solve 4*k = -2*q + 12, 2*q + 3*k + 2*k - v = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-1\/4))**24)**(2\/51)*((s\/(s\/(s**(-2\/7)*s)))\/s**(-2\/3))\/((s**(-2\/3)\/s)\/(s**(-6)\/s*s)) assuming s is positive.\nAnswer: s**(-802\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + -152 + -2)\/((-2)\/58). Suppose 0 = 12*k + 1493 - t. What are the prime factors of k?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15092093 a multiple of 2006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 53*o**3\/10 - 502757*o**2\/5 + 6998071*o\/10 + 26551 = 0.\nAnswer: -2\/53, 7, 18965","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -q**5\/20 + 13*q**4\/12 - 29*q**3\/2 + 175*q**2. Differentiate n(h) wrt h.\nAnswer: -6*h + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18982 - 18985. Sort -2\/3, u, -3\/5, 5, -15 in descending order.\nAnswer: 5, -3\/5, -2\/3, u, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 7*u**5 + 4*u**4 - 4*u**3 + 17*u**2 + 4*u. Let g(c) = c**5 + c**4 - c**3 + c. Let v(y) = -4*g(y) + z(y). Find the third derivative of v(f) wrt f.\nAnswer: 180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 508531.55 to the nearest 100.\nAnswer: 508500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 891 and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away 17652.4372?\nAnswer: -17647.4372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - 3*c + 4*c)*(-2 + 2*c**4 + 2) + 8*c + 2 - 8*c - c**5.\nAnswer: c**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -241? (a) -0.06 (b) 22\/43 (c) 1 (d) 2 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-25)\/10)\/(-5)*-6*-1. Suppose 8 = 5*s + 5*a - 12, -4*s - a + 4 = 0. Suppose v*n - 7*n + 12 = s. Let k(p) = p**2 - 3*p - 3. Give k(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h - 801 + 4581 = 0. Is 28 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**(-7)*x**(4\/3)*(x**(-2))**(-2\/163)*((((x**(-4)*x)\/x*x)\/x)\/(x**6*x))\/((x\/x**(-5))\/(x**4*x*x)) assuming x is positive.\nAnswer: x**(-803\/489)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 677 divided by -677\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 132*t + 1108. Let r be u(8). Let p = -1 + 0.8. What is the smallest value in r, 2\/7, p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 + -19.085. What is r rounded to two dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*a = -2*l - 31, 0 = 3*a + 5*l + 91 - 105 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 725*-225\nAnswer: -163125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/451, -899, 9, 1, 4?\nAnswer: -899","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2263200 rounded to the nearest 100000?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -a**2*w - 378*a**2*x**2 - 14*a*w**2*x**2 - w*x**2 wrt w?\nAnswer: -a**2 - 28*a*w*x**2 - x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fxrpyrrxxyy. Give prob of picking 3 x.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 0*u + 17 = 4*g, -2*u + 4*g = -18. Let w = u - 2. Suppose w*x + 5 = 20. Which is the third biggest value? (a) x (b) 1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.1 - -0.1. What is the closest to g in -2, -1, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -43*j**3 + 24*j**3 - 4*j**2 + 18*j**3 - 25*j**2 as o*j + z*j**2 + l + d*j**3 and give z.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2868 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 163, 426, 1087, 2338, 4371, 7378, 11551, 17082?\n\"Answer: 32*y**3 + 7*y**2 + 18*y + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 e when two letters picked without replacement from {n: 2, e: 2, j: 2, b: 1, r: 1, c: 1}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -594, -588, -582, -576?\nAnswer: -570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16017 by 1.\nAnswer: -16017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 10*q - 125. Let y(u) = 6*u - 65. Determine 11*y(r) - 6*z(r).\nAnswer: 6*r + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9988.185 decades to months.\nAnswer: 1198582.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4*p - 28 = 0, 4*i - p = -0*i - 33. Let d = i + 8. Let m = -329 - -333. What is the closest to m in d, -1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4*p = 18 + 21, 0 = -5*q - 4*p + 33. Let g(l) = l**2 - 10*l + 16. Give g(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 170*l**2 - 3346*l + 5155. Give b(-147).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**3 - 2*n**3 + 3*n**3)*((-3*n - n + 3*n)*(5*n + 2*n - 2*n) + 2*n**2 - 2*n**2 - n**2).\nAnswer: -6*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10a386 (base 13) in base 3?\nAnswer: 202000022011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-262)\/(95892\/10431))\/(6\/(-32)*-4)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-191)\/(-955)*-1*20\/18. What is the second biggest value in 0.1, 0.01, 0, -5, g?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 2)*(o**4 + 2*o - 2*o) + 2*o**4 + 5*o**4 + 3 - 9*o**4 + (0 + 0 - o**3)*(0*o - o + 0*o).\nAnswer: o**4 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*z + 99 = 156 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 2*t - 2 = 0, -2*n - t - 4*t = -5 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 11845*j - 599. Is 22 a factor of f(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 385314?\nAnswer: 2, 3, 149, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -4566, 0, -2\/9, -2\/13 in ascending order.\nAnswer: -4566, -2\/9, -0.2, -2\/13, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -1210?\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -7*m - 22. Let d be t(-9). What is the derivative of -16 - 79*p**2 - 41 - 3*p**3 + d*p**2 + 37*p**2 wrt p?\nAnswer: -9*p**2 - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*f - f = 153, 5*k - f = 255. Suppose q + 17 = 2*q. Let v be ((-5)\/(-1))\/(1\/q). Calculate the highest common divisor of v and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*x - 3*y, 0*x + y - 23 = -4*x. Suppose -6 - x = -3*o. Solve -2*j = -6*j + o for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d**2 - 9*d - 2. Let r be k(3). Let y(h) = -5*h**3 - h**2 + 4*h + 4. Let i be y(r). Solve 6*q = i - 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*i + 16*i - 149 - 97 - 2*i - 3 + 3 + (i + 0 + 0)*(-6 + 0 + 1).\nAnswer: -9*i - 246","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/18)\/((-7)\/3 - -1). Let s = -14 - -17. Sort s, 5, -4, m in decreasing order.\nAnswer: 5, s, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*g - 5*p + p, 3*p = 12. Suppose r - w = 7, -4*r + 2*r = g*w - 34. Suppose 0 = r*n - 49 - 119. Is n a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of v**8\/840 - v**6\/50 + 4*v**5\/75 - v**4\/20 - 6*v**2. Determine q so that y(q) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-8) + (39\/4 - -3). Suppose -15*k = -s*k - 8. Suppose k*i = -i + 2*w - 10, -3*w = 4*i - 15. Solve -2*v + 5*v - 3 = i for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/((-24)\/15 - -2). Let a = 9 + -4. Is a less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35379?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1051121.\nAnswer: 563, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/49)\/((-160)\/560)*16*(-10)\/120?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.8 times -0.194?\nAnswer: 2.8712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-4)*11824\/(-60)*-5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 192 divide 105139008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.14 - -2.14. Let c = 40.9 - 43. Let r = c + h. Are 13 and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -169*a + 2*a**2 + 85*a + 2 - 1 - 242*a + 36*a to the form z*a + l + i*a**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, 0, 5, 308?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -377633 or -377361?\nAnswer: -377633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5653116.\nAnswer: 2, 3, 7, 22433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0752 and 0.151.\nAnswer: -0.0113552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2\/7 - 3624*x\/7 + 3782427\/7.\nAnswer: -3*(x - 671)*(x + 1879)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1066320 divided by 6.\nAnswer: 177720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 4*h + 1. Let l be y(-3). Let p = -15 + l. Suppose 5*s - f - 19 = 2*f, 5*s = -f + p. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -127 - -139?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 27991336574 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27\/52 - -3\/13. Suppose 2*r - 7*r = 5. Which is the closest to r? (a) -2\/79 (b) 5\/6 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214244527 a multiple of 288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -281 + 717. Suppose 7*f = -k + 1873. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4091286598?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -13*h**2 + 0*h**3 + 3*h - 1\/120*h**6 + 1\/336*h**8 + 0*h**4 - 1\/210*h**7 + 0 + 1\/60*h**5. Let u(r) = 0. What is r?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*a + 15*a + 29*a)*(2*a**4 - 3*a**4 - a**4).\nAnswer: -56*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*u**2 - 23*u**2 - 30*u**2.\nAnswer: -41*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 261206 at most 261206?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2206*p**2 - 6505?\nAnswer: 4412*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -11 (b) -28.2 (c) 1\/20 (d) 1\/7 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a millimeter in micrometers?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*x + 20*x + 127 - 3*x - 2*x**2 - 127.\nAnswer: -2*x**2 + 53*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -9*s**3 - 7*s**2 - 5*s + 7. Let n(b) = 4*b**3 + 4*b**2 + 3*b - 4. Let v(m) = 3*g(m) + 5*n(m). Let z = -33 + 39. Suppose -2*d + z = 4. What is v(d)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312 a factor of 7233720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 108*h + 4. Let j be t(6). Suppose -3*i - 4*m - 89 - 558 = 0, 3*i = -5*m - j. Does 14 divide (-1)\/(-5) - i\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*k + 5*k + 2*k)*(-77 + 25*k + 77)*(0 + 1 - 3) as n*k**2 + b*k + x and give n.\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 27*x**2 + 261*x + 364. Determine z(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/95655 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 19 = -3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.031 - 14.\nAnswer: -14.031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 1aae61c?\nAnswer: -1aae620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 1. Let k(c) = -1. Let f(n) = 7. Let s(x) = -f(x) - 6*k(x). Let u(q) = -2*g(q) + 2*s(q). Let u(y) = 0. Calculate y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 22*x**2 + 10*x - 13. Let w(z) = z**3 + 23*z**2 + 9*z - 24. What is 3*n(v) - 2*w(v)?\nAnswer: -2*v**3 + 20*v**2 + 12*v + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.22, 2, -23, -1\/4, -0.3 in increasing order.\nAnswer: -23, -0.3, -1\/4, 0.22, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3912467 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - -1)\/(-8) + 2\/(-4). Let l be (-39)\/(-14) + 2\/(-7). Which is the closest to -0.1? (a) l (b) -1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2*v - 930, 2*v - 7*v + 1387 = 3*j. List the prime factors of j.\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-4)*(-8)\/(-38). Let n = 3231 + -3230.9. Which is the closest to n? (a) j (b) 1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 563 = -41*g - 86, -3*x + g = 6*x - 10*x + 7 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.24, -12427, 1 in ascending order.\nAnswer: -12427, 0.24, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + l - 345 = 12*k, 4*k = 3*l - 85 for k.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -120, -237, -354, -471?\n\"Answer: -117*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2728708453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-7)\/w**(-3))**(-5\/9) assuming w is positive.\nAnswer: w**(20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does -29175 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 1\/6, -31, 6558, 3, 1\/4 in descending order.\nAnswer: 6558, 3, 1, 1\/4, 1\/6, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 17 = 7. Suppose 2*a - 6 = -r - 0*r, a - g = -5*r. What is the third biggest value in 0.3, a, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 + 1)*(3*p + 2*p - 6*p) - 2621 - 40*p + 2621 as o + d*p and give d.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence saqe when four letters picked without replacement from awawawsasqwpwea.\nAnswer: 1\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 19 - 11*h**2)*(-12*h**3 - 3 + 417*h - 837*h + 421*h).\nAnswer: 132*h**5 - 11*h**3 + 33*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 29 in 0.5, -0.06, -2, -7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**4\/13 + 4998*k**3\/13 + 4153290*k**2\/13 + 1139265650*k\/13 - 6986194500\/13 = 0.\nAnswer: -835, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 2*i**2 - 8*i + 17. Determine k(-6).\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.5 - 2.9. Let z = l + 7.9. Let y be 0 - ((-8)\/6 - -1). What is the nearest to y in -2, -0.2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -5*n**4 + 20*n**3 - 15*n**2 = 0?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-1)*-4 - -14. Let r(i) = i**3 - 10*i**2 + 2*i - 12. Determine r(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.14 - 5.14. Let u = 10.5 - 9. Let n = -1.55 + u. What is the third smallest value in n, m, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 26*s**2 - 262*s - 252. Determine w(11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 2*m - 4, 2*g - 11 = -5*m + 7. Solve 0 = -4*d - d + 25, 0 = -5*r + m*d - 15 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 741 greater than 741?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = -121*g + 125*g. Solve -8 - g = 7*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 817*o**6 + 189*o**3 - 193648*o**2.\nAnswer: 98040*o**3 + 1134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3818106999 to four decimal places.\nAnswer: -0.3818","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 4912048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*sqrt(22))\/(sqrt(132)\/sqrt(300)) - (-3*sqrt(70)\/sqrt(5))\/(-3*2*sqrt(7)).\nAnswer: 39*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14920 = -101*t + 847*t for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -84, 12723, 34072, 63963, 102396?\n\"Answer: 4271*b**2 - 6*b - 4349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (175\/10 - 2)*-8. Let u = q - -133. Calculate the greatest common divisor of 3 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of 1\/24*y**4 + 0 - 1\/40*y**6 + 0*y - 9*y**3 - 5\/4*y**5 + 115*y**2. Find the second derivative of f(o) wrt o.\nAnswer: -18*o - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 155 - 152. Solve 5*f + 17 = -d for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -24*n**2 + 1897*n - 86. Calculate g(79).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and 27242?\nAnswer: 27241.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128906334?\nAnswer: 2, 3, 29, 246947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -37*z**2. Let t(r) = 10*r**2. Give f(t(p)).\nAnswer: -3700*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence frff when four letters picked without replacement from {f: 6, r: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 19*o + 1. Suppose -w = 2 - 13. Suppose -13*j - 10*j = -4*j. Suppose j = 2*g - s - 3*s + 22, 0 = -4*g - 3*s + w. Determine x(g).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 7\/32415 (b) -1\/2 (c) 37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2473.998346 + 2474. Round y to 5 dps.\nAnswer: 0.00165","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.07409 - -555.92591. Put -0.3, 0.3, x in ascending order.\nAnswer: -0.3, 0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17.86 + 17.7. Let z = -0.1476 - h. What is z rounded to three dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1860, 1858, 1858, 1860?\n\"Answer: s**2 - 5*s + 1864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 8*x - 6. Suppose -4*g + 0*g + 36 = 0. Let k be p(g). Suppose a = -k*a + 4*f + 292, 5 = 5*f. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 + 18. Let c(a) = -2*a + 2*a**2 + 2*a**2 + i*a - a + 21 - 5*a**2. Calculate c(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of 0*k**2 + 2 - 1\/12*k**4 - k + 1\/6*k**3. Let l(d) be the first derivative of c(d). Find the second derivative of l(i) wrt i.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2194?\nAnswer: 2, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19441 - 96864\/5. Let q = g - 68. Suppose 3*t + 4 = 7. Put t, q, -5 in ascending order.\nAnswer: -5, q, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2200 + -22230002?\nAnswer: -22232202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 229725 and 266625?\nAnswer: 272224125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -122498*a**3*k + 17*a**2*k**2 - 2*a*k - 714*k**2 - 1599 wrt a?\nAnswer: -734988*a*k + 34*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - m + 1366 = 3*k, -1358 = -3*k + m. Suppose 2*z + 2*p - k = 0, -z + 5*z - 896 = -p. Suppose -2*j - z = -3*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 3 (c) -6 (d) 4 (e) -2\/21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 74*z**2 - 6*z - 308. Is y(61) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 w, and 1 o when three letters picked without replacement from {w: 2, u: 3, v: 6, s: 5, o: 2}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddbyddddyydddbdbbybb. What is prob of picking 1 d and 3 b?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13199437.\nAnswer: 29, 191, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) 1\/58 (c) -11\/6 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -97, -203, -351, -541, -773, -1047?\nAnswer: -1363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18646 - -18368.349. Let v = j - -277. Let h = v + 0.72. Round h to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1730343*h**2 - 1730591*h**2 + 3460510*h**2.\nAnswer: -424*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/4))**(-4\/3)*(k**(-1\/2)\/k)\/k*(((k*k**(1\/14)\/k)\/k)\/k*k)\/k)\/((k*k\/k**2*k*k*k)**(-16\/11))**(2\/9) assuming k is positive.\nAnswer: k**(-722\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fbzzczbzzbffccafq. What is prob of picking 1 z and 2 b?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(3) + -1)*5.\nAnswer: -25*sqrt(3) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/2)\/((-1)\/3). Let x = -6 - q. Suppose -x = -2*l - 0. Are 3 and l non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**2 + s**2 + s**2)*(2 - 2 - 3*s**2) + (1 + 2 - 2)*(-1 + 1 - s**4).\nAnswer: 5*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (2 + -140 + (-1 - 4) - (165 + -178)).\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5835 plus -7?\nAnswer: -7.5835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -837687.446 and 4.\nAnswer: -837683.446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*m + 247 - 152 + 39 - 219)*(4 + 0 - 6).\nAnswer: -52*m + 170","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 d, and 1 t when three letters picked without replacement from {t: 2, y: 2, d: 1, c: 1, r: 2, s: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - -4383527.\nAnswer: 4383527.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111110010111110101000 - -11101011?\nAnswer: 1111110011000010010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*u**2 + 4*u + 179?\nAnswer: -20*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45339.48 kilograms to micrograms.\nAnswer: 45339480000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/2 - 12*a**2 + 11*a\/2 + 138.\nAnswer: (a - 23)*(a - 4)*(a + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of 69*y**5\/4 + 219*y**2 + 152*y. Differentiate i(b) with respect to b.\nAnswer: 1035*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 10, 5 in ascending order.\nAnswer: -24, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -139*i**3 + 2*i + 3 + i**4 + 138*i**3 - 73*i**2 + 68*i**2 as d + l*i + t*i**4 + f*i**3 + h*i**2 and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27892.5 + 27893. Which is the closest to -1? (a) -1.14 (b) 0 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-6))\/(620\/(-744)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*g**2 + 2079*g**3 - 2137*g**3 - 52*g**2 wrt g?\nAnswer: -348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -125511?\nAnswer: 125510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 - 1)*(-2*j**4 - j**2 + j**2) + (-2 + 3*j**2 + 2)*(13 - 2*j**2 - 13).\nAnswer: -2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2127 or -19135\/9?\nAnswer: -2127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/5, -1, 2\/7, 11?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 6) in base 2?\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1264 (base 13) to base 3\nAnswer: 10120221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2*(sqrt(1100) - sqrt(1100)*1)**2 + 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000110110101 (base 2) to base 10.\nAnswer: 4533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -260374 (base 10) to base 2\nAnswer: -111111100100010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of p**4\/6 - 28*p**3\/3 + 196*p**2 + 52*p. Factor v(n).\nAnswer: 2*(n - 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -472 + 472 + 3*d**3 - d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.23*1.19.\nAnswer: 0.2737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 942.559 centuries to years.\nAnswer: 94255.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-4)*5*-1)\/((-669)\/2676)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 3*k + 18. What is the third derivative of 4*m - 7*m**k - 10*m**2 - 4*m - 10*m**2 wrt m?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of j**7\/525 + j**6\/150 - j**4\/30 - j**3\/15 - 3*j**2\/2 + 2*j. Let x(y) be the first derivative of r(y). Factor x(o).\nAnswer: 2*(o - 1)*(o + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2199997*q - 18. Let u be b(-6). What is u rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-2))**(11\/2)*(v**(3\/2)\/v)\/v*v\/(v**(-2)*v) assuming v is positive.\nAnswer: v**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 6*l + 113. Let a be b(-24). Sort -1\/7, -2, 0.12, a in increasing order.\nAnswer: a, -2, -1\/7, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 84?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -33*l**4\/4 + 10*l**2 - 64. What is the second derivative of h(d) wrt d?\nAnswer: -198*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, 4, -5, -1 in decreasing order.\nAnswer: 4, -1, -5, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - -17) + -12 + -1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -1 - 11. Let p(f) = -3*f**3 - 8*f**2 + 4*f - 2. Let z(n) = -n**3 - 4*n**2 + 2*n - 1. Let t(m) = -2*p(m) + 5*z(m). Determine t(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 980 = 11*t. Find the common denominator of 0\/(-2) - (575\/(-90) + 6) and 134\/t - ((-1)\/(-1))\/(-7).\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-63 - (-33 - -24)) + 26. Suppose -5*f - 17 = 8. Is f < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v**3 - 3*v**3 + 143*v**2 + 3*v - 141*v**2 as i*v**2 + d*v**3 + r*v + o and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -115 + 111. Let r(l) = 3*l**2 + 7*l + 5. Let k be r(c). Solve -k = 9*b - 4*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0209 - -0.1209. What is the smallest value in 0.024, r, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 766, 0.21, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 49*i**2*s**2 - i**2*s - 6154*i*s**2 + 7904*i*s + 4*i + s**2 + 4*s - 54 wrt s?\nAnswer: 98*i**2 - 12308*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2305 and 461?\nAnswer: 2305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n + 7*n**3 - 7*n.\nAnswer: 7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 5*s**2 - 3*s - 1. Let p(v) = v. Suppose -d - 2 = g - 0, 0 = -3*d. Let t be p(g). Let o be m(t). Solve -o = -0*l + 5*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u*u**(-1)\/u*u*u**(2\/17)*u\/(u**(-5\/3)*u)*u**(-2\/9) assuming u is positive.\nAnswer: u**(392\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and 979.\nAnswer: -6853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15982 - -18153. Calculate the highest common factor of q and 2338.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -48 and -11.\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**2\/13 + 62876*q\/13 - 3734272 = 0 for q.\nAnswer: -32192, 754","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -193\/117 + -2\/117. Find the common denominator of -35\/12 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/((v\/(v*v\/(v\/v**(-28))*v))\/v)*v*v*v**(1\/2)*v**14*v\/v**(1\/6))**12 assuming v is positive.\nAnswer: v**(-80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + 0 + -4 + 3. Suppose -c*z + 25 = -z. Let s = z + 7. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/21))**(2\/63)*(g\/(g*g\/g**(9\/7)*g)*g)\/(g\/(g\/(g**16*g))))**(12\/11) assuming g is positive.\nAnswer: g**(-88468\/4851)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.15, 8, -48, 5, -0.1, -0.148, 0?\nAnswer: -0.148","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 3*z - g + 3, 2*z - 5*g = -15. Suppose -4*t + t + 27 = z. Suppose -5 = -s, 3*s + 9 + t = 3*p. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 5 + 1)*(5 - 3 + 1 + (5 - 1 - 2)*(0 + 2 - 1))*(-3*d - 4*d + 4*d) to f + h*d and give h.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13*h**3*x**2 + 17219*h**2*x**3 + x**3 - 12*x**2 + 1283 wrt h.\nAnswer: 39*h**2*x**2 + 34438*h*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 less than 443\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/272816 and -65\/14592?\nAnswer: 248808192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*s + 27*s - 900. What is the lowest common multiple of s and 180?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1043 and 1883658?\nAnswer: 1043","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/4 of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -26*y**2. Let f(v) = 2*v + 4*v + 2*v - 11*v. Give f(n(i)).\nAnswer: 78*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-2) - (-3)\/6. Suppose -b*n = -3*n + 12. Suppose 37 = 5*v + n. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/6 - 14\/(-3). Suppose -205 + 75 = -z*o. Is o a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120880970 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 13*l**2 + 2*l. Let a(s) = 22*s - 18*s - s + 285*s**2 + 42*s. Determine 2*a(k) - 45*g(k).\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 581, 573, 551, 509, 441, 341, 203, 21?\nAnswer: -211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7164? (a) -0.4 (b) -2 (c) 5 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.882 - 0.118. Sort -3\/11, 5, w in increasing order.\nAnswer: w, -3\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6516576 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96.72226mm to nanometers.\nAnswer: 96722260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5608278 - 3?\nAnswer: 5608275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**(-9)*p*(p*(p**(-8)*p*p)\/p)\/p*(p**(2\/3))**25*p**(-2\/7)\/p**(-4\/9)*p*p**(-7\/5)*p*p\/((p\/((p\/p**(-7))\/p))\/p*p) assuming p is positive.\nAnswer: p**(8954\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -49 and 9.2.\nAnswer: -450.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 12*r - 12. Let z be m(-12). Let u = -9 - z. Suppose -t - 20 - 14 = -n, -3*n + 103 = -4*t. What is the highest common divisor of u and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 406 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x + 5. Let s be l(-9). Let z = s - -2. Which is the third smallest value? (a) z (b) -1\/4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 + 1 - 0) + (27 - 44).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -26*k**3 - 5*k**2 + 9*k + 2. Let q(s) = -13*s**3 - 2*s**2 + 4*s + 1. What is 4*p(a) - 9*q(a)?\nAnswer: 13*a**3 - 2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-961)\/49972)\/(3\/(-312))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8206 rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n + 9*n + 11*n - 121 - 121 + 203.\nAnswer: 27*n - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7823180, -7823185, -7823194, -7823207?\n\"Answer: -2*o**2 + o - 7823179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 30 = -4*c. Let x be (c - 10\/4) + (-5)\/(-2). Put 0.5, 16\/11, 1\/6, x in ascending order.\nAnswer: 1\/6, 0.5, x, 16\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - -22. Solve -17 = -4*u + 2*s - 3*s, 4*u = 4*s + a for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 35 - 103 = -73*b. Solve b = -4*g + 6*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m**3 - 4*m**3 + 9116 + 7061 + m**3.\nAnswer: -3*m**3 + 16177","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2))**43\/(n**(-13)\/n)**(11\/5))**17 assuming n is positive.\nAnswer: n**(-4692\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 4*j**2 + j**3 - 7*j - 4 - j**2 + 2*j**2. What are the prime factors of a(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 6*z - 7 - 20*z - 15.\nAnswer: -14*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 5*g**3 + 210*g**2 + 400*g = 0.\nAnswer: -40, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-7)*l**18*(l*l\/(((l\/(l**(8\/11)\/l))\/l*l)\/l))\/l*l\/(l*l**(-1))*l*l)**1 assuming l is positive.\nAnswer: l**(162\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, l: 2, p: 1, h: 1, z: 1}. What is prob of sequence fzf?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5201.\nAnswer: 7, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*g - 13*g + 14*g - 3635*g**2 + 3592*g**2 + 19*g.\nAnswer: -43*g**2 + 42*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + 907*a + 397. Determine g(0).\nAnswer: 397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -615 - -613.892. Let x = q - -0.108. Let u be (-24)\/9*(-3)\/10. Which is the third smallest value? (a) x (b) 4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a - 4*a - 2*a)*(-4620 - 2636 - 3026 + 15293 - 1468).\nAnswer: -7086*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4321303 a multiple of 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + (3\/(-12))\/((-11)\/88). Let l(s) = 10*s - 26. Let u(p) = 2*p - 5. What is x*l(g) + 11*u(g)?\nAnswer: 2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.423 + -18.217. Let s = a - 0.36. Let g = s - -19. Put -0.2, 3\/5, 0.2, g in descending order.\nAnswer: 3\/5, 0.2, g, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008076 to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1071 and 30.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.1496234+-0.7026927\nAnswer: -0.5530693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6580087 to the power of 1\/3, to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 417.4 * 44\nAnswer: 18365.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4693.393 millimeters to kilometers.\nAnswer: 0.004693393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/12 (b) 0.5 (c) 2 (d) -1 (e) -2\/7 (f) 957\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = y - 4*y. Let h be ((-94)\/y)\/((-2)\/(-6)). Let i = 101 + h. What is the greatest common divisor of i and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76919571.\nAnswer: 3, 29, 193, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1826236.8ms in hours?\nAnswer: 0.507288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 0.4 (c) 19\/2 (d) -2 (e) -1072\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 8*i + 4 - 2 + 4. Let j(f) = f**3 - 5*f**2 - 6*f + 2. Let y be j(6). Suppose -y = -5*h - 27. Let v(s) = -7*s - 5. Determine h*k(a) - 6*v(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9724 and 16830.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-17)*k**(1\/17)*(k*k**(-2\/23))\/k*(k\/(k**20\/k)*k*k)\/k)**(6\/17) assuming k is positive.\nAnswer: k**(-79830\/6647)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h**2 + 104*h - 392. Let a(l) = l**2 + 28*l - 131. Let u(v) = 7*a(v) - 2*j(v). Determine u(19).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -6*q + 7. Suppose 0*i = -i. Let n(c) = -7 + 8 - c + i. Let v = -9 + 14. Calculate v*n(r) - k(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 186908332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2076927607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 12 + 8 + 31 + x. Suppose -6*y - 24 = -j - 3*y, 3*j - 62 = 4*y. What is the remainder when r(0) is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.9819 times 638\nAnswer: -626.4522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 r when two letters picked without replacement from uuzuttututtuuttrr.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -763*l**3*y**3 - 3*l**3*y**2 - 2*l**3*y - 15*l**2*y**3 + 5561*l**2*y - 8*l*y - 15*y**3 wrt y?\nAnswer: -4578*l**3 - 90*l**2 - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7246?\nAnswer: 2, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003699113 to 5 dps.\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7131, 28588, 64357, 114444, 178855?\n\"Answer: s**3 + 7150*s**2 - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 6 + (2 - (15 - 2))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7473, 29909, 67301, 119649, 186953, 269213?\n\"Answer: 7478*g**2 + 2*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j**2 - 2*j - 54. Suppose l - 37 = -29. What is the hundreds digit of o(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 p when three letters picked without replacement from {u: 2, p: 2, n: 2, z: 8}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-108)\/54*18\/(-3)*24\/(-6192)\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83.62577 minutes to nanoseconds.\nAnswer: 5017546200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7923 + -3?\nAnswer: -7926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2121653?\nAnswer: 2121653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 297\/22*(-7240)\/(-3258)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {u: 2, x: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - ((-91 - (-51 - -47)) + -27)?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*b + 2 = 0, -b = -4*z - 9 - 21. What is the remainder when 57 is divided by (-250)\/z + (-30)\/24?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*a - 15 = 46*a. Let y(t) = t**3 - 15*t**2 + 17*t - 19. Let j be y(a). Suppose -12*d = -14*d + j. List the prime factors of d.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -28*b**2. Let s(w) = 5*w**2 + 144*w. What is s(k(p))?\nAnswer: 3920*p**4 - 4032*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2 + 730*j + 16600.\nAnswer: -5*(j - 166)*(j + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -571a11 + 19?\nAnswer: -5719a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91870 is divided by 86.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 364103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1131681949 to the nearest integer?\nAnswer: 33640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + (sqrt(245) + -1 - sqrt(245))**2 - (1 + sqrt(20))) + 6*sqrt(45) + -6*sqrt(15)\/sqrt(3).\nAnswer: 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7840 and 127960?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13bda (base 14) to base 2.\nAnswer: -1011111101100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/8)\/o*o*o*o**(-1\/3)*o)**(-3)*((o*o*o\/o**(-2\/19))\/o**(-5))\/(o**(-1))**24 assuming o is positive.\nAnswer: o**(4063\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/8 and 107\/27720?\nAnswer: 27720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.933 and 0.2?\nAnswer: 0.9866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1354087 to the nearest integer?\nAnswer: 1164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7119329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 120 - 316?\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 893040 divided by 20?\nAnswer: 44652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*d = m + 18*d + 2233, 3*m + 2*d = -6648. Round m to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 15*b + 4*b + 1.\nAnswer: 19*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*z**2 - 2 + 0 + 6 + 87*z**2.\nAnswer: 131*z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -31 divided by -23\nAnswer: 31\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k**3 - 2*k**3 + 0*k + k. Let p(t) = -t**3 - 3*t - 2. Let r(a) = -2*b(a) - p(a). Let z(w) = -w + 2. Let u be z(2). Determine r(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.5872622 hours to weeks.\nAnswer: 0.045162275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6362 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1576*s**2 - 1472*s**2 + 2858*s**2.\nAnswer: -190*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9586 + 9648.03. Round n to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 - 37 - 1813*k + 108 - 36.\nAnswer: -1813*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 633 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*r + 0*y + 5*y - 165 = -4*r, -24 = r - 4*y for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**21)**3\/(w\/((w\/w**(-1\/33))\/w)*w*w\/(w\/(w**10*w*w))*w))**(-2\/71) assuming w is positive.\nAnswer: w**(-3170\/2343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + 19. Suppose 2*u = w + 13. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1163203, -1163205, -1163207?\n\"Answer: -2*g - 1163201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -87354 or -87366?\nAnswer: -87366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7238 and 143858?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/505 and 3705\/606 + -2*(7 + -4).\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 73 (b) -4 (c) -2\/9 (d) -0.03 (e) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1720229 rounded to 4 dps?\nAnswer: 0.172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4321 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -2) + (8 - (-19 + 35))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -41675 divided by 5?\nAnswer: -8335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -14*y - 6. Let g(c) = -3*c - 27. Calculate g(p(w)).\nAnswer: 42*w - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 175*t + 395*t**2 + 103*t**2 - 93*t - 82*t + 2 to the form o*t**2 + s*t + w and give o.\nAnswer: 498","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1246 is divided by 34?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3799247, -7598469, -11397689, -15196907, -18996123, -22795337?\nAnswer: -26594549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*i - 14*i. Suppose -4*a + 5*a = -5*q + 1237, -4*a + q + 4927 = i. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*i - 5*i + 0*i)*(-i + 2*i + i) - 5*i**2 + 3*i**2 + 8*i**2 + i**2 - 2*i**2 + 3*i**2)*(-2*i**2 - 3*i**2 + 2*i**2).\nAnswer: -12*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 12:06 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 2.03 and 11.669.\nAnswer: 13.699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*k - 7. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6760 is divided by 147.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 16 = 4*f - 7*c, 0 = -3*f + 2*c + 7 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1059 and 38570898?\nAnswer: 1059","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 0*b - 2*y, -b - 20 = 5*y. Let x(w) be the third derivative of 1\/140*w**b + 3\/56*w**4 + 0 + w**2 + 1\/7*w**3 + 0*w. Factor x(p).\nAnswer: 3*(p + 1)*(p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-6)*(-642)\/(-4). Let d = o - 29. Round d to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225 is divided by 57?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -15*p + 11. Let l(v) = 8*v + 8*v**2 - 11*v**p - 4*v + 10*v**2. Is l(4) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17240 and 66440.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 12:09 AM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 4*s - 5 - 1, 3*s - 9 = -3*z. Solve -l + 3*d = -z, -3*d + 2 = -4*d for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03224 minus -55532?\nAnswer: 55531.96776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-one halves of a meter?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 + -233?\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -96*n - 131 + 425 + 90. Solve -30*l + n*l - 52 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*x - 45*x + 88 = -5*n + 35, 5*n + 0*n - x + 26 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -1. Suppose -5*y + 5*q = 20, z*y + 4*y + 4 = q. Suppose -4*u + 0*u + 188 = y. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - 3) + 18 + (-12 - 2)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 times 34.59\nAnswer: -2.7672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 513031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 2)*(1 + -5). Find the first derivative of -9*b - 6*b + 12 - y*b - 4*b wrt b.\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -143, -496, -1083, -1904, -2959?\nAnswer: -4248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 672 = -20*t + 22*t. Suppose 0 = 26*g - 184 - t. Solve h - 6 = 5*j, 0*h + 5*h + g = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.473 - -0.027. Let h(n) = 38*n + 1255. Let v be h(-33). Which is the closest to -2\/7? (a) 4 (b) v (c) -1 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 7 = -g + 2*g, 3*d - 5*g + 19 = 0. Suppose a - d*a = 4*y - 6, a + 3 = -y. What is the units digit of 1*(-11 + -1)*a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -1 - (5 + 4 - 14)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (32 - -5)) + 10 + 4 + -2?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-nine quarters of a litre?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 10:51 PM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 11404737?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 550519*d - 3707*d**2 + 0 - 550519*d to the form z + w*d**2 + o*d and give w.\nAnswer: -3707","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 6 = b. Let y = 31 + -28. Suppose 7*t = y*t + 28. Calculate the smallest common multiple of b and t.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 269*g**2 - 6440*g + 101516. Give c(290).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 - 30 - 16*r)*(2*r**3 + 3 - 3 + (-3*r**2 + 2*r**2 + 3*r**2)*(11*r - 5*r - 3*r) - r**3 + 2*r**2 - 2*r**2).\nAnswer: -112*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 44 = -48. Let l(c) = -c**3 - 7*c**2 - 3*c - 10. Let f be l(-7). Solve k + 2*k - f = -b*s, 4*s = 4 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*b - 42. Let s be (b\/((-35)\/(-50)))\/(4\/(-2)). What is the closest to 0.1 in s, -3, 0.04, -1\/6?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*p + 0*p**2 - 21*p**3 + 0*p**2 + 22*p**3 + 35*p.\nAnswer: p**3 + 24*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*i, 3*i = 5*a + 2*i - 14. Suppose 2*q + 26 = 4*c, a + 5 = c - q. Suppose -5*j = x - 75 + 5, -c = -2*j. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 524 = -13*j + 4*w, -j + 3*w = 263. Let m = 282 + j. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 102\/180 + 4\/(-10). Let o(p) = p**2 + p - 3. Let d be o(2). Sort 0.4, d, t in descending order.\nAnswer: d, 0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -329660*a + 659299. Calculate w(2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/15528 and 59\/22.\nAnswer: 170808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*h + 27*h - 12 = 0. Solve 3*g - 9 = -h for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 9:58 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 784270.\nAnswer: 2, 5, 78427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -22*g**3 + 5*g**2 + g - 20. Let l be z(3). Let w = -451 - l. Which is the fourth smallest value? (a) w (b) -0.2 (c) 0.3 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007813 to 5 dps.\nAnswer: -0.00078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1652628489 rounded to the nearest 1000000?\nAnswer: -1653000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 - -35 - (-8 - 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 10:12 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*t**3 + 42*t**3 - 27*t**3.\nAnswer: -9*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xvv when three letters picked without replacement from vvvx?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 466 + 170 = 2*o, -3*n - 1286 = -4*o. Does 19 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.021 and 870.\nAnswer: 18.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of v**2\/2 + 2*v - 122. Determine f(10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-13)\/b**(-2\/7))\/(b*b*b**(-10)*b*(b\/(((b*b**(-19))\/b*b*b)\/b))\/b) assuming b is positive.\nAnswer: b**(-166\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5824\/(-1196))\/56*(-9)\/6.\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2388 divided by -1194.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -4.94 and 0.02646.\nAnswer: -4.91354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/6 - (-209)\/66. Let m = 14 + -8. Suppose -m*r = -d*r - 18. Let u(g) = g**3 - 7*g**2 + 4*g + 6. Determine u(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 4*v = -736, -4*v - 368 = -5*p + 548. Calculate the greatest common factor of 240 and p.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120 (base 8) to base 2.\nAnswer: -1010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, l: 10}. What is prob of sequence rll?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*-2 - 0*1\/(-5). Sort k, 1, -2, -6 in decreasing order.\nAnswer: 1, -2, k, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/(-2) + -8)*(-13)\/507. Let i = -0.1 - 0.3. Which is the second biggest value? (a) h (b) i (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/9 - 2378*u + 7132.\nAnswer: 2*(u - 10698)*(u - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -5\/3*f**3 - 1\/20*f**5 - 11\/12*f**4 + 0 - 5*f + 23\/2*f**2. Calculate the remainder when 43 is divided by a(-10).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 8*u**2. Let d(w) = -2*w**2 + 1. Let v(y) = 35*y - 35*y - 7 - 2 + 87*y**2 - 66*y**2. Let i(r) = -9*d(r) - v(r). Determine i(p(a)).\nAnswer: -192*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 331, 5, 1\/10, 2\/5?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23\/(230\/30))\/(-6 - -1).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 20806, 1\/16.\nAnswer: 1\/16, 1\/7, 20806","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 f when two letters picked without replacement from {l: 1, j: 1, f: 2, g: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 42\/189 + (-768074)\/(-18). Let j = y + -73757. Let p = -97086 - j. Round p to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -47 + (11 - (8 + -18))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/130 and 173\/78533910?\nAnswer: 78533910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-27)*(4\/(192\/(-72)) + -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 + -37. Suppose c = 2*g - 4*w - 282, -g + 3*w + 408 = 2*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 2*s + 4323. Let o be z(0). Let x = o + -734. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8101940 rounded to the nearest one hundred thousand?\nAnswer: -8100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.8 + -2. Let a = -181 + 189. Let h be (-651)\/1860 - (1 - 14\/a). Sort h, 3, w in descending order.\nAnswer: 3, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9, 15308142, 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -335, -1305, -2901, -5117, -7947, -11385?\n\"Answer: i**3 - 319*i**2 - 20*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -5*y**2 + 535*y + 68250 = 0.\nAnswer: -75, 182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 965877?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of 5*h**4\/12 - h**3\/2 - 6*h + 2. List the prime factors of z(-5).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0 (b) 9 (c) -291\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h - 10. Let l be m(4). Let s be (-7)\/(49\/(-38)) - (-6)\/l. Suppose 2*b + 22 = 5*d, s = -d + 3*b + 12. Solve -3*v + 4 - 7 = -z, -5*z + 4 = -d*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = 25 + 11. Let k be (-5)\/(-15) - (-14)\/w. Let i(v) = -21*v**3 + 4*v**2 + 2*v - 1. Is i(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -765 in -6, 0, -2\/17, 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002080112 to 5 dps.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-525565)\/(-1051090) + 2\/4 + -1. Let o = 5150689\/18288966 - a. Calculate the common denominator of o and 25\/7.\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/34)\/(-4) - 301\/(-476).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 4*w - 2. Determine s(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/30)\/(228\/(4275\/(-75))).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 11:52 AM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1 + (sqrt(119)*-2*-4)\/((sqrt(84) - sqrt(84)*2)\/sqrt(12)))**2.\nAnswer: 16*sqrt(17) + 1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 721 and 225689377.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = h + 26, -116*h + 2*d - 277 = 427 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 9:44 AM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 21 = 4*q. Let t be q*(-1 - 28\/12). Suppose -3*r - 8*y + 4*y + 1750 = 0, 0 = -2*y - t. Round r to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of -1\/1176*j**8 + 0*j**4 + 0*j**3 - 1\/140*j**6 + 0 - 21*j**2 - 1\/245*j**7 + 0*j - 1\/210*j**5. Factor m(w).\nAnswer: -2*w**2*(w + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6740, 12974, 19208, 25442, 31676?\nAnswer: 37910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and -40657173.\nAnswer: -40657173.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16526 - 703. What is the thousands digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 5*r**2. Let o be s(-5). Suppose 5*y + 3*n - 1484 = o, 3*y - 3*n = 2*n + 870. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -5. Suppose -d*a - 4 + 2 = 0. Let x = -1 - a. Which is bigger: x or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*x = 85*x + 16 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + 19*w**2 + 17*w - 55. Let d be z(-18). Let q be d\/(-9) - (8 - 4). Which is the smallest value? (a) -7 (b) 5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + s - 4*y + 30 = 0, -5*s + 5*y + 15 = 0. Let r(q) = q - 10. Let k be r(s). Let z(h) = -3*h + 3. Let g(c) = -c + 1. Determine k*g(m) + z(m).\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q**5 - 420*q**4 + 11804*q**3 - 124172*q**2 + 390192*q + 526592 = 0. What is q?\nAnswer: -1, 11, 16, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2)\/l)\/l)**(-1\/63)\/(l**4*l**(-15)) assuming l is positive.\nAnswer: l**(697\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2*m = -6, -14*f = -12*f - 3*m + 10. Solve -5*k = 2*n, -2*n + 2*k + f = -3*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r + 27 - 69 + 36 + 88 to a*r + u and give u.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143 - 67 - 76 + 23*i**3.\nAnswer: 23*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 76518342.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -35*l**5 + 340*l**4 + 21625*l**3 - 60350*l**2 + 25660*l + 12760 = 0. What is l?\nAnswer: -22, -2\/7, 1, 2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.021 and -731.\nAnswer: -730.979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 4:30 PM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*p**3 - 8*p**2 - 11*p**2 + 3*p**3 + (7*p + 5*p - p)*(-4 + 4 - p**2) + p**2 - p**2 - p**3.\nAnswer: -14*p**3 - 19*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r\/r**(-7))\/r)\/r**5*r**(-2)\/(r*(r\/(r*r\/r**(-5)))\/r*r))**40 assuming r is positive.\nAnswer: r**240","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 + 15. Let k be -6 - (-14)\/((-70)\/(-55)). Sort w, -3, k, 3 in increasing order.\nAnswer: w, -3, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-66)*((-9)\/(-21))\/(24\/(-42))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 2. Let l(m) = 42*m - 181. Let k be l(4). Let y be (k\/(-26))\/((-3)\/(-30)). Sort -6, y, u, -3 in descending order.\nAnswer: y, u, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2121220 (base 3) in base 14?\nAnswer: 9aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.079 and 1.\nAnswer: 0.079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.2 (b) 3 (c) -2 (d) -2.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 3*l + x - 15, 0 = 3*l + x - 9 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -6 + q - q + 3*q + 1. Let t be k(4). Suppose b - 616 = -t*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*n**2 + 15*n - 4 + 100*n - 10*n**2 + 6 in the form x*n + d + q*n**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 divided by 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 51*d**2 + 331*d - 619. Determine f(-57).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -11*((-1216)\/(-2288))\/(-38)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in -2\/19, -2\/665, 791?\nAnswer: -2\/665","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 n when four letters picked without replacement from gggnnnnngnggnngnggg.\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 12) to base 15\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -59 + 111. Let h be 21\/6*(3 + c\/(-28)). Suppose -5*y - h*o + 9*o - 50 = 0, -5*o - 22 = 4*y. Sort -4, y, -1, -2 in descending order.\nAnswer: -1, -2, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + (-24)\/36 + (-596)\/(-3). Calculate the common denominator of 79\/(-2) + (-2)\/(-4) and (1 - l\/27) + (14 - 13).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 + 46. Calculate the highest common factor of 90 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4457.\nAnswer: 4457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 38408418, 76816826, 115225234?\n\"Answer: 38408408*b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in six fifths of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-865 - 436*o + 865)*(o**2 - o**2 + 2*o**3) - 3*o**4 - 2*o**4 + 4*o**4.\nAnswer: -873*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, l: 1, e: 11}. What is prob of picking 1 l and 3 e?\nAnswer: 33\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, g: 2, p: 2, b: 4}. What is prob of sequence gbvv?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10111406.\nAnswer: 2, 607, 8329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12763867 or 12763897?\nAnswer: 12763897","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 505 = -3*k + a, 4*a + 246 + 590 = -5*k. What is the common denominator of (1\/(-2))\/(20\/k) and 55\/7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 65397 + -39964. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6753007 to the nearest integer?\nAnswer: 2599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1104.984 millennia in decades?\nAnswer: 110498.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 8, -58, -146, -262, -412, -602, -838?\nAnswer: -1126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 3*b**2 + 2)*(-21*b + 46 - 46) in the form a*b + t*b**2 + f + q*b**3 and give q.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-882)\/80 - -1*22*(162\/(-36))\/(-9)?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 4*f - 10 + 2, -4*f = 2*r - 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 44.20421 decades?\nAnswer: 0.4420421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ibbcmmgccchhihmmbhb. What is prob of sequence mhmc?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1315258 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -168400 - -4?\nAnswer: -168385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18085958?\nAnswer: 2, 11, 23, 31, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -12*y**2. Let z(r) = -2*r**2 + r - r + 0*r**2. Give z(j(k)).\nAnswer: -288*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20403\/22 - -926. What is the common denominator of q and -53\/40?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55680.\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18\/(-6) - 4 - -3. Let r(z) = z**2 + 6*z + 6. Let i(n) = -2*n**2 - 13*n - 13. Let q(a) = 4*i(a) + 7*r(a). What is the tens digit of q(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2287 + -290?\nAnswer: 1bb7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 4*y**2 + 4*y + 4. Let b be w(-4). What is the tens digit of (-4 + 1)*(0 + 320\/b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.1 (b) 4\/3 (c) 1\/2 (d) -0.07 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -310642772 divided by 28240252?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f + 0*f + 42*f**2 + 60*f**2 - 17*f**2.\nAnswer: 85*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of 0*h**3 + 8*h**2 - 1 + 0*h**6 + 13\/70*h**7 - 11\/20*h**5 + 0*h - 1\/24*h**4. What is the third derivative of v(t) wrt t?\nAnswer: 936*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 9:17 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 12 - (18 - 14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(637) + 0 - sqrt(637))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wr when two letters picked without replacement from zxwrd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10719)\/405 - -33) + 15\/3 + -13?\nAnswer: -22\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by ((-16)\/(-3))\/((-2)\/(-6)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6041 + 4?\nAnswer: 6045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 0.4, 170?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) - (sqrt(475)*-1)**2 - (sqrt(19)*-1)**2*-5 - (sqrt(304) + (-6*(sqrt(304) - 2*sqrt(304)))**2).\nAnswer: -11324 - 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 628885 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8814 - -8818. Let c = 12 - 17. Sort -8, -4, c, p in increasing order.\nAnswer: -8, c, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 867501573 is divided by 81.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10680 = -1361*d + 2429*d for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3920?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1443065 rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100273 - -0.5.\nAnswer: 100273.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a hour in seconds?\nAnswer: 3240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -2*a - 35. Suppose a = -0*c + 5*c. What is the remainder when 26 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/15 (b) 3\/8 (c) 0.18878 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17102 is divided by 15159?\nAnswer: 1943","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 33\/3 - (6\/(-1))\/(-2). Solve -7*i + o = -11*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 160 - 329 - 4*j + 74*j**2 + 4*j + 171 to n*j**2 + z + a*j and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 1. Suppose -3*f - 4*l - 5 = k, -f + 0 + 3 = -l. Let h(o) = 2*o**3 + 17*o**2 + 12*o + 51. Let b be h(-8). Solve -5*d + f = -b for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -412134 (base 6) in base 8?\nAnswer: -100172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 84 + -84.004. Let x = r + 0.0040067. Round x to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -877054*t**4 + 12229154*t**2 - 1?\nAnswer: -21049296*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, s: 7}. What is prob of sequence ssc?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 530739478.\nAnswer: 2, 265369739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 153 and 4029.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 78*r - 27*r**2 - 78*r + (44*r - 5*r - 18*r)*(4 + 2*r - 4).\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of n**5\/60 - n**4\/6 + 54*n**2 + n. What is the least common multiple of 12 and r(-4)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1450562965?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 6*k. Let q(m) = m**3 - 11*m**2 + 10*m + 3. Let u be q(10). Let s(b) = 14*b + 3. Let n(w) = 15*w + 4. Let t(i) = u*n(i) - 4*s(i). Calculate j(t(r)).\nAnswer: -66*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-1)*m)**34\/((m\/(m*m**6))\/m**5) assuming m is positive.\nAnswer: m**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 133016010*p**3 - 81124855*p wrt p.\nAnswer: 798096060*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/s**(3\/7)))\/(s**0\/s))\/((s**1\/s)\/s*s*s)**35*s\/s**6*s**(-5)*(s**(2\/7)*s)**15 assuming s is positive.\nAnswer: s**(-170\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pa when two letters picked without replacement from bxappppxpxvpxbxp?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3 + (sqrt(168)\/sqrt(63))\/(3*sqrt(8)*-2) + 2.\nAnswer: -sqrt(3)\/18 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (825\/(-675))\/(3\/(-27))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*m + 9*m + 275844 = 280260 for m.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -10*s - 3. Let t be (-8)\/(-16)*(5 + 2 + -1). What is the remainder when w(-5) is divided by (-108)\/t*(-5)\/15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-4*(sqrt(33) + sqrt(132)\/sqrt(4) + sqrt(33)) - sqrt(33)))\/(sqrt(363) - ((sqrt(363) + (sqrt(363) - sqrt(363)*2) - sqrt(363)) + sqrt(363))*-5).\nAnswer: -78*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40526\/8445 + 2\/1689. What is s in 0 + f*s**4 + 8\/5*s**2 - 22\/5*s**3 - 1\/5*s - 9\/5*s**5 = 0?\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-5))\/(z\/(z\/(z\/z**(-3)))) assuming z is positive.\nAnswer: z**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 12:19 AM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of -17\/12*z**4 + 0 - 40*z + z**2 + 0*z**3. Let l(n) = -n. Give b(l(o)).\nAnswer: -17*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**2 - 81*z. Let w(y) = -31996*y. Calculate w(x(j)).\nAnswer: 63992*j**2 + 2591676*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 - 217 = 50*s + 2 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -508 + 2424 - 556 - 858 + c + c - 502.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12222121 (base 3) in base 15?\nAnswer: 145d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 282733?\nAnswer: 11, 25703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*b**3 + 3*b**3 - b - 2*b**3 - 4*b**3 wrt b?\nAnswer: -42*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 176*a**3*k**2 - a**2*k**3 - 3617*a*k**3 wrt a?\nAnswer: 1056*a*k**2 - 2*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w**3 + 32*w**2 + 7*w - 125. Let f be z(-10). Solve -a = -f*n - 18 + 26, -2*a - 7 = -n for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100113 (base 5) to base 6\nAnswer: -22342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32435 - 15233. List the prime factors of i.\nAnswer: 2, 3, 47, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s**2 - 25*s - 3. Let u be i(16). Calculate the greatest common factor of u and 292.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s - 16*s - 4*s.\nAnswer: -20*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1876*m + 2326 = 1760*m - 3358 for m.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 56191338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.016046 - -3.464254. Let k = o - -5.5242. Let w = 9 - k. What is w rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x + 4*x - 6*x)*(4*x**3 - x**3 - 5*x**3) - 490*x + 490*x + 218*x**4.\nAnswer: 214*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15 + -44.501855791.\nAnswer: -29.501855791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 19*v**3 + 27. Let f(z) = 10*z**3 + 13. Suppose -9*q = 21 + 6. Let c(y) = q*m(y) + 5*f(y). Differentiate c(a) wrt a.\nAnswer: -21*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, p: 8, u: 1}. What is prob of picking 2 p?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2268923?\nAnswer: 19, 119417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 84?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2 = 20. Let k = -3 + f. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*t - 5 + 5)*((2 + 2 - 5)*(1 - 1 + 2*t**2) - 1260*t**2 - 1622*t**2 + 495*t**2) to y*t**2 + d*t**3 + j + w*t and give d.\nAnswer: 9556","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 (base 15) in base 13?\nAnswer: 20c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9142 (base 14) to base 4.\nAnswer: -12011312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-17 + 0)\/(40\/(-6880)) - 0. Calculate the greatest common divisor of a and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3800 divided by 5.\nAnswer: 760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 6:10 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5538, 10499, 15460, 20421?\nAnswer: 25382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 11:55 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u = -5*i - 25, -64*i - 9*i + 556*u - 552*u + 235 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2584084*d**4 - 132269*d**2 + 9*d?\nAnswer: -62018016*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g + 1. Let b be 1\/(-3) + 25\/(-15). Let n be a(b). Let c = 1 + n. Which is smaller: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4431 - 0.0031. Let s = -0.11 - 0.23. Let o = v + s. Is 0.33 less than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10386?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 14 times 0.36\nAnswer: 5.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -130 * 0.30907.\nAnswer: -40.1791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 225.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 + 6)*(-2505*b + 2673*b - 2 + 1) as u*b + s and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 4*k + p - 4, 4*p = -4*k + 4. Solve 5 + k = -3*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1731 divided by 73?\nAnswer: 1731\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/4*((-9)\/2)\/(-9). What are the prime factors of 15\/((t - -2)\/9)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iidyidiyd. What is prob of sequence ddd?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(114)\/sqrt(3)*3 + sqrt(38))\/(sqrt(24)\/sqrt(108)).\nAnswer: -4 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*j + 61*j = 2*m - 8, 5*j - 5*m + 20 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 139*x + 10. Let n(a) = a + 2. Calculate 4*n(o) - y(o).\nAnswer: -135*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**7\/g**(-10))\/(g**1)**(-2\/121) assuming g is positive.\nAnswer: g**(2059\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -20a928a - -3?\nAnswer: -20a9287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.312347 decades in years?\nAnswer: 83.12347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1154242*n + 1154242*n - 9*n**2.\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 - 4 + 3*j**2)*(17*j**2 - 25*j**2 - 23*j**2) to the form o + i*j**3 + b*j**4 + g*j + w*j**2 and give b.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*l = 2*t - 126*l + 21, t - l + 10 = 0 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 1. Let j(y) = 5*y**3 - 14*y**2 + 3*y + 9. Let t(i) = -3*i**3 + 7*i**2 - 2*i - 5. Let m(h) = -4*j(h) - 7*t(h). List the prime factors of m(o).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 11*m**2 - 4*m - 114. Let q(k) = -24*k**2 + 9*k + 229. Give -13*a(f) - 6*q(f).\nAnswer: f**2 - 2*f + 108","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.913582 rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k + 8. What is the remainder when 50 is divided by l(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -17. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, 1\/2, 0.1, 0 in decreasing order.\nAnswer: 1\/2, 0.1, 0.06, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 132844?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of (-4668)\/(-14) + 135\/(-315)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*m = 94*m + 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 106221188 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -8, -2\/3, -4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 171*a**4 - a**3 + 1824*a wrt a.\nAnswer: 2052*a**2 - 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by 433\nAnswer: 16\/433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o**3 - 26*o**2 + 6*o - 21. Let z be a(-9). Let m(x) = -x**2 - 8*x - 4. Let g be m(-4). What is the highest common divisor of z and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*g - 14*g = -12. Let n(w) = w**3 + 5*w**2 - 4*w - 7. What is the remainder when ((-4)\/g + (-230)\/15)*-10 is divided by n(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*o - 16. Suppose r + 0 = o. Is r even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*s - 59*u + 57*u, 4*s + 4*u = 16. Solve -s*p - 87 = 22*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 3*j**2 - 10*j - 26. Give s(-7).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 10, 567 = 2*s + 3*m + 3050. Let y = 2424 + s. Round y to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from blopppopbooppopqlpb. What is prob of picking 1 q and 3 b?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 2*g - 35. Let c be r(-5). Let s(v) = -v**2 - 3. Give s(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-480)\/(-64))\/(-9*(-35)\/1134)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 9 = -3*t + 2*j, -3*j = -5*t + 15. Suppose -77 = -2*u + 5*q, u - t*q = -6*q + 33. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15595.659428 to the nearest one thousand.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 12*m**2 - 21*m + 6. Calculate x(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9071651*n*v + 45589563*n wrt v?\nAnswer: -9071651*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.86 + 15.04. What is j rounded to 1 dp?\nAnswer: 5.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -46\/7 + 283\/42. Let p = -85 + 67. Let m be (-25)\/(-60) - (3 - (-51)\/p). Which is the nearest to m? (a) 0.1 (b) f (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1*sqrt(3) - sqrt(3)) - ((-2*sqrt(12))\/sqrt(4) + sqrt(3)).\nAnswer: -sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 100111 (base 2) in base 7?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 584*m**2 - 352*m**2 + 158*m**2. Let s(h) = -h**2. Give s(t(c)).\nAnswer: -152100*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 + 7255*f - 502*f + 1597*f + 33.\nAnswer: 8350*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - (0 + sqrt(7) + sqrt(7) + 0))*-2)**2 + ((sqrt(63) - 2*sqrt(63) - sqrt(63))\/sqrt(9) - (-2*sqrt(448) - sqrt(448) - sqrt(448))**2).\nAnswer: -7140 - 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14467*j - 14467*j + 10*j**2.\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 11222004\/(-1) + 22*(-22)\/(-121). What is l rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 5. Suppose -21 = -f*h - 1. Suppose -3 = h*q - 18. Solve -q*g + 11 = 5*s, -5*g - s + 4 = -7 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5227077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/1 + (-14)\/(-2). Suppose 0 = 14*w - 84. Let g be 6\/w + (4 - (-51)\/(-12)). What is the closest to c in 3, -4, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 20 = -5*k, 5*z - 2*k - 132 + 124 = 0. Solve z = -2*d - o - 13, -4*d + 5*o - 5 = -0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6489 divided by 2?\nAnswer: 6489\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 8. Suppose 0 = 2*q - d - 13, 2*q - 2*d - 28 = a*d. Solve w - q = 2*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**2 + 12*w + 1. Let n(j) = 1. What is -b(o) + 3*n(o)?\nAnswer: 2*o**2 - 12*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 83 - 34*x**3 - 39 - 70 + 2*x wrt x.\nAnswer: -102*x**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4907 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.091751 millilitres to litres.\nAnswer: 0.000091751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 53738.87ug?\nAnswer: 53738870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 6 - 4. Let t be -1 + 6 + o + -5 + 1. Suppose l - 180 = -3*k, -159 - 30 = -t*k - 4*l. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 + 20. Let n be 1\/2*(-2 - -2)*m. Suppose 2*d = -k + 63, n = -d - 4*k - k + 18. What is the remainder when 98 is divided by d?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*a - 64 = -24*a. Suppose -a - 42 = -2*q. Is (8\/(32\/(-20)))\/((-1)\/q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -3*u**3 + 0*u**5 - 72*u**2 - 13\/20*u**6 + 0*u + 0 + 0*u**4. What is the first derivative of r(y) wrt y?\nAnswer: -234*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3774527600 rounded to the nearest 1000000?\nAnswer: -3775000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 34*w**2 + 152*w. Calculate s(-4).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3*3\/162)\/((-36)\/(-270)). Let v(o) be the second derivative of 5\/6*o**3 + j*o**4 + 0 - 9*o + 0*o**2. Factor v(r).\nAnswer: 5*r*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 705 + -707. Let q(p) = -5*p**2 + 4*p + 2. Let m(d) = 6*d**2 - 3*d - 2. Calculate x*q(b) - 3*m(b).\nAnswer: -8*b**2 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-8) - 13\/(-4). Suppose -4*w = -v*m + 18, -5*m + w = 4*w - 30. Is 6 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 665 and 852635.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 179, 178, 177, 176, 175?\nAnswer: 174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + -10. Suppose 8 = 5*w - 2*v - 9, 2*v = -4*w + d. Solve -w*o - 10 = k, 6*o + 3*k + 22 = o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6890539312?\nAnswer: 2, 113, 3811139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**(-2\/23)*r**(-3\/19)\/r*(r*r**(-5\/9))**1 assuming r is positive.\nAnswer: r**(1469\/3933)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6667778 and 1079702.\nAnswer: 8242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n = 10*n - 24. Suppose n*f - 3645 = 21*f. Suppose j - 5*q = -j + f, 0 = 4*q - 4. What is j rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 486 and 198.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -27*z**2 - 1692*z + 490. Determine n(-63).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*k = -3*q - 28*k - 1, -4*k - 41 = -5*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/(729\/(-12552)) - -2. Let w = 157 - d. Let s = w + 35\/27. Which is the second smallest value? (a) 0 (b) -0.5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3*a + 2)*(-a + a - 2*a**2 + 2*a).\nAnswer: 6*a**3 - 6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11749264 is divided by 1103.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25021*w + 63084*w + 47795*w.\nAnswer: 85858*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -205 - -225. Solve -4*t + 0*p - p + f = 0, -3*p - 20 = -4*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c - 66 = -9*c. Let y = 55 + c. Is y a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4236*l - 440539. Determine j(104).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -1012*f**2 + 4*f - 1. Let l be p(-4). Round l to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 3*g**4\/7 + 60*g**3\/7 + 54*g**2 + 972*g\/7 + 891\/7 = 0.\nAnswer: -11, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -f**5\/60 - f**4\/6 + f**2. Let a be t(-3). Let k be a*1 - (6 + -3). Solve k = -4*z + 1 + 11 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2481416 to the nearest integer?\nAnswer: 1575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 53047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 151 - 68. Find the third derivative of -3*n**3 + 3*n**3 + 74*n**2 - a*n**2 - 5*n**3 - 3*n**4 + 5 + 3*n**3 wrt n.\nAnswer: -72*n - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20.2 + -20.7. Which is the biggest value? (a) -0.05 (b) m (c) 2\/3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/5 (b) -129071 (c) 5 (d) -2 (e) -1 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 24 + 17)*(-2*h**3 + 0*h**2 + 0*h**2) + (-2*h + h + 0*h)*(-5*h**2 + 0*h**2 + 2*h**2) - h**3 - h + h.\nAnswer: -62*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 44122a?\nAnswer: 44122e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150516502.\nAnswer: 2, 53, 1419967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2 + 1408*o + 490752.\nAnswer: -4*(o - 568)*(o + 216)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27082998 - -14823624. Let c = s - -12258622.0491. Let a = 752 + c. Round a to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22670*q + 309106*q + 21233664 + 91272*q**3 + 1728*q**2 - 91269*q**3.\nAnswer: 3*(q + 192)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/((-105)\/12)*94350\/(-8880).\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -y**5\/15 - 19*y**2\/2 - 65. Let j(s) be the second derivative of t(s). Let v(g) = 2*g + g - g. Give v(j(u)).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 152346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2210 = 246. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -87.061413732 + 0.061356732. Let j = i - -87. Round j to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 7:44 AM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -311476 divided by -77869.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -562 and -0.0306.\nAnswer: 17.1972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/(-6))\/((-2)\/((-4)\/(-6)))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 942, 19 in descending order.\nAnswer: 942, 19, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**5 - 3*l**5 + 0*l**5 + (-l**2 + l**3 + l**2)*(0*l + 0*l - 2*l**2) + l**5 + 4*l**4 - 4*l**4 - 3*l + 1220*l**5 + 110*l**3 - 375*l**5 - 113*l**3.\nAnswer: 839*l**5 - 3*l**3 - 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 3. Let i(o) = -k*o + o - 3 + 9. Let z(g) = -6*g + 17. Let y(a) = -17*i(a) + 6*z(a). Let u(p) = -3*p. Calculate u(y(f)).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 126 + 124 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1574328 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/70)\/((-68)\/(-476))?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 12*m + 10. Let k(o) = -8*o - 7. Calculate -5*b(d) - 7*k(d).\nAnswer: -4*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05546? (a) 2 (b) 5.5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/(-7)*43\/((-53320)\/(-62))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47529687.\nAnswer: 3, 15843229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 40459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**3 + 10*x**3 + 11*x**3.\nAnswer: 25*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 74\/(-14) + -14*(-11)\/539. Suppose 17*q - 1021 = -52. Put 4, w, q, 0 in decreasing order.\nAnswer: q, 4, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 247 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165907084.\nAnswer: 2, 7, 5925253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -3. Suppose -6 = -5*l + 2*l, -88 = -z*p - 4*l. Suppose 3*t = 3, 0 = -4*c + t + t + 222. Calculate the remainder when c is divided by p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*c - 3*c - 2*c)*(14 + 11 + 14) to a + p*c and give p.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/r**7*r**10)**40\/(r*(r**5*r)\/r*(r*r**(2\/15)*r)\/r*(r**0)**25) assuming r is positive.\nAnswer: r**(2893\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -81 (base 11) to base 9.\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000211 rounded to seven decimal places?\nAnswer: 0.0000211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (47 - 45)\/(2\/(-3))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/5*o**4 + 6\/5 + 21\/5*o + 27\/5*o**2 + 3*o**3.\nAnswer: 3*(o + 1)**3*(o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 27\/2 of a microsecond?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -p**6\/720 - p**5\/20 + p**2. Let k(j) be the third derivative of w(j). Let s(x) = x - 2. What is 2*k(v) - s(v)?\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39.679 + -45.67884. Let a = q + 6. What is a rounded to five dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-21) - 78\/(-21). Suppose 3*m - 19 = x - b, 2 = -2*m. Let y = 97 - x. List the prime factors of y.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -40*v**3 - 3*v**2 + 7*v + 4. List the prime factors of y(-3).\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4117440 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4)\/i**(2\/5)*(i*i*i**2*i*i)**(-40))**46 assuming i is positive.\nAnswer: i**(-56212\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -8\/201, 2, 12.8, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**2 - 4 + 4)*(2*y**2 + 882 - 539 - y**2).\nAnswer: -4*y**4 - 1372*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/11 - 12348*m**2\/11 + 18947520*m\/11 + 345067776\/11.\nAnswer: 2*(m - 3096)**2*(m + 18)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 33988 and 20.\nAnswer: 34008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/2*33345\/(-7410).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234560 a multiple of 320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*i**2 - 258644669*i - 351635452 wrt i?\nAnswer: -4*i - 258644669","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, u: 2}. Give prob of sequence cccc.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 91 - -16. Let y = -71 + d. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-130)\/4)\/((-6136)\/56758 - 45\/(-74))?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f. Let c(n) be the third derivative of -n**4\/12 + 2*n**3 - 121*n**2. What is c(z(m))?\nAnswer: -4*m + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1127101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -72000000 to the nearest 1000000.\nAnswer: -72000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/4*(-4)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3786)\/(-12) + 143\/(-22) + 6. Let j be 2\/4 + 7548\/24. Is o equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*v + 0 + 0 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*l**4 + 35444*l**3 - 155*l**2 + 518?\nAnswer: 96*l + 212664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3)*(-14*s - s + 29*s)*(-3*s**4 + 3*s**2 - 3*s**2) - 11*s**5 - s**5 - 15*s**5 + (-s + s - s**2)*(-4*s**3 + 2*s**3 + 3*s**3).\nAnswer: 56*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h + h + 3*h + 0*h. Let s = 10 + -6. Let n(x) = -s + 4 + x. Calculate -3*n(v) + 2*u(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 8*k + 34. Let l be g(17). Suppose a + 5*b = 61, 3*a - 2*b = -4*b + l. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*v = 50*v - 10, 0 = -4*y - 4*v + 112. Suppose 2*f - 178 = -3*r - 2*f, 5*r = -5*f + 295. What is the remainder when r is divided by y?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 16031*o**2. Let j(w) = -3354*w**2. Give j(y(i)).\nAnswer: -861954391194*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 9, q: 2}. What is prob of sequence pqpq?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/2)\/((-32)\/16). Solve 0 = o - z*p - 1, 0*o + 5*p = -o - 7 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -153725*m**3 + 2*m**2 - 180121*m wrt m.\nAnswer: -922350*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 272229078 and 6024.\nAnswer: 1506","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qoqqdlyldoyqlydoolqq. What is prob of picking 1 o and 1 d?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y - 79. Let o(l) = 2*l + 73. Determine -2*o(a) - 3*p(a).\nAnswer: 2*a + 91","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-5)*v*v**(-17)*v)\/(v\/(v**(4\/7)\/v)*v\/v**37) assuming v is positive.\nAnswer: v**(102\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 78107.23s in microseconds?\nAnswer: 78107230000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k. Let d = 3 - 4. Let r be (d - (-3)\/(-2))*4. Let t = 6 + r. Give c(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/2112 and 71\/3.\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 10 = q - 2*j, -5*j - 19 = -q. Let s = 6 - q. Let w(a) = a + a**s - a. Let c(x) = -x**2. Calculate w(c(g)).\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -366 times -0.1\nAnswer: 36.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 460488*i + 8 - 230034*i - 229947*i in the form j*i + r and give j.\nAnswer: 507","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 2*i = 334, 5*y + 3*i - 469 = -138. Is 2 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 300 divide 9900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -154 + 236. Let i = 81.07 - r. Let o = i + 1.43. What is the nearest to -0.04 in 1, o, -4\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 q when two letters picked without replacement from {x: 1, t: 1, q: 1, d: 1, y: 1, c: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 123913 - 5568 + 16370. Is 197 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -6 + (-28)\/70*3030\/(-244).\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 26\/3, 0.3, -5, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 39, 3\/7 in increasing order.\nAnswer: 3\/7, 6, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 410 - 3?\nAnswer: 40b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.98 + 0.02. Let g = -0.3 + 0.2. Which is smaller: a or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-5 - (6 + -10 - 0))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 7:40 AM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 less than 4188751?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 68727881747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 3*y**2 + 2*y - 6. Let t be w(4). Find the common denominator of (-127)\/(-18)*(-21)\/t and 67\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -5*c**5 - 18070*c**4 - 36120*c**3 = 0.\nAnswer: -3612, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2351100 divided by -425.\nAnswer: 5532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10\/(-4))\/((-1)\/974) - -1. What are the prime factors of l\/10 + (-7)\/(-5) + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -176278305 divided by -1678841\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -3. Let j(d) = -22*d - 25. Let k(w) = 43*w + 45. Let n(x) = -11*j(x) - 6*k(x). Is 7 a factor of n(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 1038.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = 0, -s - 2 = -2*j - 3*s for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4908 is divided by 120?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 40919 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 4:14 AM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 1 + 0*k + 1 + 2*k. Let q be h(-2). Is 282\/15 + q\/(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2247 + 2008 - 1311)*(2*w**5 - w**3 + w**3).\nAnswer: -3100*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.07 + 4.93. Let m = v - 5.4. Which is the closest to -4? (a) 2\/9 (b) m (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-2)*2\/(-1). Let o be 2\/7 - i\/(-7). Suppose -2*j + o*j + 8 = 0. Solve 5 = j*c + c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40*n**4*u*x + 11*n**4*u - n**3*u*x + 3*n**2*x - 21*n*x - 22*u wrt n.\nAnswer: -960*n*u*x + 264*n*u - 6*u*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 856945?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/2)\/((-3)\/6). Is x\/(((-9)\/267)\/3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1374 divided by -6.\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*b - 2*b - 25*b to c*b + p and give c.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -500 - -499.999787. What is p rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 divided by 486005?\nAnswer: -77\/486005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2140396635?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 74 = -y, -3*y = -7*y - 16. Let r be v\/5 - (-1 + 4). Let p = -1.1 - 2.9. Sort r, -4\/7, p in decreasing order.\nAnswer: r, -4\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8 - 0. Let r = j - -0.5. Let q = 3.5 - 0.5. Which is the second smallest value? (a) r (b) -1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -15, -9156?\nAnswer: -9156","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 1747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -1. Let g(f) = f - 1. Determine -g(a) + 4*y(a).\nAnswer: -a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 689, 2109, 4307, 7283, 11037?\n\"Answer: 389*x**2 + 253*x + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.01 and -322093497?\nAnswer: 322093497.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/179 or -34\/3?\nAnswer: -34\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -4*w + z - 3, -z + 3 = -2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2106738 and 981?\nAnswer: 229634442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five quarters of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/sqrt(5))**2*1*-5.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 2*b - 2580 - 27740, 4*b + 30308 = -4*k. What is k rounded to the nearest 100?\nAnswer: -7600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 + -33.8. Let v = f - 0.2. Let j = -11.1 + 11.2. What is the biggest value in 2, v, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in five eighths of a kilogram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1dd - -8436?\nAnswer: 8635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -305 less than -325?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.54 - -6.48. Let l = 0.06 + q. Let b = l + -3.5. What is the smallest value in b, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 546 is divided by 188?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 3. Let h = -8.2 + 11. Let i = 3.3 - h. Which is greater: i or c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 256927007?\nAnswer: 14551, 17657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 7:12 PM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 60 + 7319*s + 7087*s + 63 - 123 as k + p*s and give p.\nAnswer: 14406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -3, -6, 5, -1, -274.\nAnswer: -274, -6, -3, -1, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4*l - 91 - 80 = 0, 271 = -5*i - 2*l. Let w = 81 + i. Does 15 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -68*f**2. Let p(l) = 38*l + 100. Give p(i(u)).\nAnswer: -2584*u**2 + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 379979 is divided by 136.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-5) + 14\/35.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -11, 28 in decreasing order.\nAnswer: 28, 9, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 128 + 397. Suppose 3*z + 465 - p = 0. Calculate the greatest common factor of 50 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -134, 2 in descending order.\nAnswer: 4, 2, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 y, and 1 j when three letters picked without replacement from dsrydjhjhjyhhj?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 40990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 791, 1540, 2269, 2972, 3643, 4276, 4865, 5404?\n\"Answer: -v**3 - 4*v**2 + 768*v + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2255, -1538, -351, 1300, 3409?\n\"Answer: -w**3 + 241*w**2 + w - 2496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 276426 and 9396?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -569*p**3 + 8*p**2 + 19*p - 4. Does 6 divide n(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h + 7. Let c be l(-4). What is the third derivative of 2*k**3 - 2*k**2 - 2*k**c - 3*k**3 wrt k?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4571640?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 16\/5, 0.1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184563317 is divided by 26366187?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 2:56 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -244023 (base 10) in base 12?\nAnswer: -b9273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 355, -1, -5, -39353 in descending order.\nAnswer: 355, -1, -5, -39353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1433431 is divided by 68238.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -409 + 412. Suppose 5*d - 22 - t = 0. Solve 3*i + 2*i = -d for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l + 128 = -49*s - 59*s + 2*l, 4*l + 186 = -0*s - 5*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -95.87 - -95.8700003913. What is x rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/100)\/(16\/(-10))*2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fvaeafuvr. What is prob of sequence uvve?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213*q = 208*q + d + 4, 3*d + 12 = 3*q. Which is smaller: -1619 or q?\nAnswer: -1619","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iid when three letters picked without replacement from oiiilld?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -79, -89, -5, 0, -3, 3.\nAnswer: -89, -79, -5, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6909462*a**5 + 1042389*a**2 wrt a.\nAnswer: 414567720*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -82932965 divided by 1?\nAnswer: -82932965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -273 by 948.\nAnswer: -91\/316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4*d = 5*y + 35, -5*d - 25 = 0. Let u = y - -13. Let m(c) = 5*c + 14. Let l(f) = -3*f - 9. Let i(k) = -8*l(k) - 5*m(k). Calculate i(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/322 and -40\/7?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1013262063 take away 0.8?\nAnswer: -1013262063.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -4*m**3 - 2*m**2 + 4*m + 2. Let d = 16 + -4. Suppose -30 = -7*l + d*l. Let z be y(l). Round z to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 417942 to the nearest integer?\nAnswer: 646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -84*r**2 + 164*r**2 + r**3 - 79*r**2 - 14*r + (-1 - 4*r + 1)*(6*r**2 - 2*r**2 - r**2) to i*r**2 + l*r**3 + t + n*r and give l.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001318344 rounded to 7 decimal places?\nAnswer: -0.0001318","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9939.138g in tonnes?\nAnswer: 0.009939138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 13 (b) 2 (c) 2\/21 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12370894\/2985 + -371\/1990. Let w = 4162 - h. What is the common denominator of -91\/36 and w?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - v**2 - 4*v - 5. What is f(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -35035, -26679, -12747, 6767, 31869, 62565, 98861?\n\"Answer: b**3 + 2782*b**2 + 3*b - 37821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 23*i - 22. What is the tens digit of k(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6026 - -60261\/10. Put 27, o, 3\/5, -1\/8 in decreasing order.\nAnswer: 27, 3\/5, o, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r**2 + 5*r**2 - 2*r**2)*(-9*r - 1 + 8*r - 4) - 1261*r**3 + 2267*r**3 - 1237*r**3 in the form u + w*r + h*r**2 + n*r**3 and give n.\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - a - 28 = -3*u, 5*u - 2*a = 28. Suppose -y - u = -3*y. Let l(p) = 4*p**y + 2 - p + 0*p - p**3 - 1. Determine l(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/49455 and -211\/1260.\nAnswer: 197820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u - 3*u - 5*u - u + 6*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2112 and 4320.\nAnswer: 95040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -836712*o**2 - o + o + 836340*o**2.\nAnswer: -372*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + 7 + -4 + 2. Suppose 2*a = -f + 20, i*a - 6*a + 60 = 3*f. Solve -m + 6*m = -f for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8 + 5340*c**5 - 7*c + 5694*c**5 + 9*c**2 - 12*c**2 + 16 - 26 wrt c?\nAnswer: 662040*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -299 + 313. Let a = 169 + q. Does 7 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50716, -101427, -152132, -202831?\nAnswer: -253524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211 (base 4) to base 3.\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -1. Suppose 3*k - 4 = i. Is -4*(-1)\/k*3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.9 - -7.1. Let n = -10.8 + v. Which is greater: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/21 (b) 6 (c) 3\/8 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 11*d - 37. Let c be g(14). List the prime factors of (-174)\/12*c\/((-10)\/104).\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5473016?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 105 + -66. Differentiate 21 + 14 - a*l**2 - 15*l**2 wrt l.\nAnswer: -108*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**2 + 12*z**2 + 6*z**2 - 3*z**2.\nAnswer: 13*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 + 143. Let k = c + -117. Solve -6*q = -q + 2*l, 5*q = -k*l + 5 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a hour in seconds?\nAnswer: 18900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12512 (base 12) in base 8?\nAnswer: -60536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6303 - -4465. Let z = x + 1843. Let c be (3 - (0 + 0))\/1. Solve c*p + 10 = z*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/5))**(2\/3)\/(j**4*j**(-2\/3)) assuming j is positive.\nAnswer: j**(-46\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24958, -49944, -74954, -99988?\nAnswer: -125046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**4\/4 + 4665*m**3\/2 + 68232*m**2 + 258927*m\/2 + 254259\/4 = 0. Calculate m.\nAnswer: -27, -1, 3139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 5*l**3 - 10*l**3 + 85 - 26*l - 2*l**2 - 2*l**2 + 6*l**3 + 8*l**2. What are the prime factors of n(8)?\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.158426 to two decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**2 + w**2 + 4*w**3 + 221810 - 221810.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(2 + 2 - 5)*(2*f**3 - 3*f**3 + 3*f**3)*(0*f - 3*f + 0*f).\nAnswer: -12*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 9:16 AM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qty when three letters picked without replacement from {y: 7, q: 3, t: 2}?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 4*g - 3 = 0, -4*g = -3*m - m + 32 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 12*v + 2*a + 51 = 0, v + a = 22. What is the remainder when v is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1426646967?\nAnswer: 3, 23, 29, 712967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 1\/6, -0.14561, 4?\nAnswer: -0.14561","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b + 2. Suppose -2*i + 9 = -4*m - 7*i, -4*m - 39 = -5*i. Calculate o(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58658 is divided by 54755?\nAnswer: 3903","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 548920 and 5242186.\nAnswer: 104843720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31182396 and 19936?\nAnswer: 2492","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35075\/610*16\/(-180)*(-60)\/40?\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 72148906 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: Suppose 2*b - 3*b = -4, 2*o = -b + 14. Suppose -4*s + 12 = -0*s. Let q(r) = 2*r**2 - 5. Calculate the remainder when q(s) is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14489630 and 3.\nAnswer: 43468890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.4 - -2.39999945. Round n to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 19 + 6. Suppose 2*o = y*o - 54. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -76*l + 6630. Determine n(89).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.08? (a) -43 (b) 67 (c) -66\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pqqpqpqqqqqpqqqpqq. Give prob of sequence qq.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)*-4 - sqrt(24))\/((2*sqrt(16))\/sqrt(2) + sqrt(8)) - ((-2*sqrt(2916) + sqrt(2916) + sqrt(2916) - sqrt(2916))\/sqrt(12)*-4)**2.\nAnswer: -3888 - 13*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)*-4)**2 - (sqrt(11) - 3*sqrt(22)\/sqrt(2))**2.\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3*(sqrt(108) + (sqrt(108) - (1*sqrt(108))**2))*3.\nAnswer: -977 + 108*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n - 1. Let f be a(-8). Suppose 0 = -f*l + 5*l. Suppose l = -r + 2*r - 11. What is the smallest common multiple of r and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1536, -5986, -13390, -23754, -37084, -53386, -72666?\nAnswer: -94930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9*-2025.\nAnswer: -1822.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5*j = 5. Let d(u) = 4408*u**2 + 4*u - 5. Let i be d(-7). Suppose j*w = -44041 - i. What is w rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5258*t + 5249*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.05 (b) 265497 (c) -0.3 (d) 4 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11320, -22649, -33928, -45145, -56288, -67345, -78304, -89153?\nAnswer: -99880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 6:49 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 12:55 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -s**5\/10 + 5*s**4\/24 + 3*s**3\/2 + 7*s**2. Let p(t) = -9*t**2 + 7*t + 13. Determine -7*k(x) + 5*p(x).\nAnswer: -3*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.002 + -22.002. Let z = -22.34 - x. Let b = z - 0.31. Round b to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 2\/183 in decreasing order.\nAnswer: 2\/183, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-6 + 6 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-9))\/((-2)\/6). Let b be g\/(-22)*(3 + 1). Let n be (-1)\/(-3) - (-4)\/(-12). Which is bigger: n or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 144.16 times -12?\nAnswer: -1729.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 14 - 1 - (3 - (-31 - -18))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -2*q + 2, 6 = 212*x - 415*x + 206*x for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in sixty-one quarters of a century?\nAnswer: 1525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-11)\/(-11) - 24\/6. Which is the third biggest value? (a) -2 (b) u (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/56020 and 79\/20?\nAnswer: 56020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 17 - 17 - 32 - (-6 + 3 + 1).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from vvvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 16 = -4, m + 112 = 2*v. Let j be -3 - (1 + m) - 1. Calculate the highest common factor of 9 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 449 = 3*k, -5*r + 559 = k + 2*k. Does 22 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-38)*6*(-5)\/15?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of t**5\/240 + t**2\/2 - 1. Let m(s) be the second derivative of o(s). Solve m(r) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 611834.1ml?\nAnswer: 611.8341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/139 + -1259\/556. Suppose 4*a - 2 - 14 = 0. Calculate the common denominator of p and ((-3)\/20)\/(a\/(-45)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 s, and 1 k when three letters picked without replacement from eemkmms.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(0 + 8) - 65\/(-100). Which is the nearest to v? (a) -0.11 (b) -3\/4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23520 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 10*s**2 - s + 8. Let v be r(10). Let q(l) = -l**3 + 2*l + 3. Let j be q(v). Suppose 15 = -4*u + j. Let a(w) = -2*w**2 - w + 1. Determine a(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 210604\/4269*(-1209)\/(-481)?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a litre in millilitres?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 f, and 2 b when four letters picked without replacement from {n: 1, b: 2, f: 2, i: 1, j: 4}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3*h**2 + 2*h - 2. Let n(p) = -p**2 - p + 1. Let r(f) = -g(f) - 2*n(f). Let k(q) = 13*q. Calculate k(r(c)).\nAnswer: -13*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177763 is divided by 88870.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5\/8 (b) 546733\/5 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 926 is divided by 135?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22 or -5?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -124462055, -124462055, -124462053, -124462049, -124462043, -124462035?\n\"Answer: v**2 - 3*v - 124462053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of 2*t**3\/3 + 14*t**2 - 36*t - 37. Let l be j(-15). Let a(c) = -c**3 - 6*c**2 - 8*c + 3. Give a(l).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five eighths of a day?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 600021 a multiple of 193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 15*p**2 + 24*p - 22. Let j = -131 + 52. Let b = j - -66. Let o be q(b). Solve o*r - 3*r - 2 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -1. Let x be 16\/6*27\/c. What is the remainder when (-454)\/x + 2\/(-9) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 9:33 AM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1095 = -3*o - 2*p, 804 = 4*o + 2*p - 658. Suppose -t + o = 5*m, -32*m = 5*t - 35*m - 1695. What is the remainder when t is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 5:01 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.489 + -3.72. Let h = 19039 + -19018.831. Let f = h - g. What is f rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7209 or -40?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*o + 45 = 153 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3145767264?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 12*(387\/12)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 4115000*h**2 - 25*h - 25. Let r be b(-1). Round r to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -4*w**3 + 6*w. Let z(g) = -8*g**3 + 13*g. Suppose q + 9 - 15 = 0. What is q*z(j) - 13*h(j)?\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y\/y**(1\/4)*y)\/y*(y*y\/(y*y\/(y\/(y\/y**(-2))))*y)\/y)**(-26)\/((y**(-1))**38*(y\/y**(1\/3)*y)\/(y\/y**(-2\/5))) assuming y is positive.\nAnswer: y**(547\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 54 - 1) + (-74 - -38 - -30).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000481996 rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76407 divided by 25469.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**5\/13 + 4*c**4\/13 - 4*c**2\/13 + 2*c\/13.\nAnswer: -2*c*(c - 1)**3*(c + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0)**(3\/22)*(y\/(y**(3\/11)*y))\/(y*y**(-1\/3)*y)*(y*y**(-1\/3)*y\/y**(-8))**(1\/14) assuming y is positive.\nAnswer: y**(-577\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1221 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 24*w**2 - 6*w - 4. List the prime factors of m(4).\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35655005 is divided by 543.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -167132, -334281, -501436, -668597, -835764, -1002937?\n\"Answer: -3*x**2 - 167140*x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 123\/90 + (-78)\/65. Let g = 3 + -3.2. What is the third biggest value in r, 5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 798 and 28122717.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*d, -2*l - 95 + 91 = -2*d for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-9)*3*3. Let j be (-1)\/k*2*-9. Let r(m) = m**3 + 3*m**2 - 5*m + 1. Let f be r(-4). Solve -2*v - j*b + 2 = 0, -b - 1 - f = -v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*b + 40*b + 15*b)*(4 + 0 - 11 - 13)*(-1 + 1 - 1).\nAnswer: 920*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18838 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 33*m + 1051. Let b be u(-32). Let x(q) = 2*q + 8. Let v(n) = n + 4. Determine b*v(h) + 3*x(h).\nAnswer: h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 4*d + 39 + 14, -25 = -z + 4*d. Let w = -206 + 203.29. Let p = -2.61 - w. Which is the closest to -1\/4? (a) z (b) -3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-759)\/51*1 - -15.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -155184202 divided by -3.\nAnswer: 155184202\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50 and 121570.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1249*g**3 - 651*g**3 + 802*g**3.\nAnswer: -1098*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01945064 to 3 dps.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3920, 9, 11\/9?\nAnswer: 3920","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 27*i**2 - 181*i - 52. Determine u(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -154 - -162. Does 2 divide -4*((-62)\/x + -7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 100018*n*r - 24400*n + 2 wrt r?\nAnswer: 100018*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1006.9 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1 + 5*j**4 + 5*j**4 - 6 - 7*j**4 wrt j.\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3332 - 3011 + 6343 - p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -136*b - 36. Let g be l(-50). Suppose -1266 = -c - 5*x, 5*c + 3*x + 522 = g. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-3)*((-18)\/16)\/9?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 93 + -72. What is the nearest to 0.1 in w, 0.3, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (171 - (140 + 15)) + 0 + 14 + -2 - -7.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**16*w**12)\/(((w**(-6\/11)*w)\/w*w)\/(w\/w**(-2\/11))) assuming w is positive.\nAnswer: w**(-25\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p + 10. Let z(y) = -7*y - 18. Let j(n) = 4*s(n) + z(n). Calculate j(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2 - 360305976*i - 8113774771332036.\nAnswer: -4*(i + 45038247)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 140 and 1330.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -11837, -11831, -11825, -11819, -11813, -11807?\n\"Answer: 6*l - 11843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-11 - -15) - -23 - (5 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97415, 194812, 292209?\nAnswer: 389606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 10:38 PM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*b**4 - 14*b - 13*b + 2*b**2 - 12*b + 40*b in the form s*b**2 + r + t*b**4 + x*b + f*b**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 14 + 26)*(2 + 0 - 3)*(3*t + 0*t - t) in the form n*t + g and give n.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2482626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -701, 224, -4, 23, -1, 0 in increasing order.\nAnswer: -701, -4, -1, 0, 23, 224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26129?\nAnswer: 17, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3 = p, -3*c + 4*p + 0 = -2. Suppose -5*f + 5*a + 51 = -9, 0 = -3*f - c*a + 26. Sort 5, 1, f.\nAnswer: 1, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4*a + 20 = -0*d, d = 2*a - 22. Find the common denominator of ((-160)\/66)\/((-19180)\/12056) and 30\/4*d\/6.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/42 + 1\/21)\/(1\/93). Let h(r) = 3*r - 91. Calculate h(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**2. Let y(u) be the first derivative of -370*u**3\/3 - 857. Determine y(w(b)).\nAnswer: -1480*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 739 and 0.1352.\nAnswer: 99.9128","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 149*w**3 + 5*w**2 + w - 9. Let z(o) = -75*o**3 - 2*o**2 + 4. Calculate -2*h(u) - 5*z(u).\nAnswer: 77*u**3 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2. Let z(i) = -i. Let s be (-5)\/(-2) + 3\/2. Suppose 0 = s*k + 3 + 1. Calculate k*z(w) + h(w).\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*l - 76 = 24 - 41 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 631528490 a multiple of 1813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6007780 is divided by 57?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 111, 2, -3, 46, 2\/7 in decreasing order.\nAnswer: 111, 46, 2, 2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 16422\nAnswer: 32844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 634 = 716. Is 75 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 66142854 to the nearest integer?\nAnswer: 8133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4356, 34801, 117426, 278319, 543568, 939261, 1491486, 2226331?\n\"Answer: 4348*i**3 + 2*i**2 + 3*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 13102, -4, 34?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2353\/2 + -1207. What is the common denominator of n and -61\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -539 = -30*f - 959 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 7*j**2 + 3*j + 1. Let t(g) = 2*g**2 - g. What is -2*l(d) - 7*t(d)?\nAnswer: -2*d**3 + d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28610557?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_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 18*m**5\/7 - 633*m**4 + 13890*m**3\/7 - 9477*m**2\/7 = 0. What is m?\nAnswer: 0, 1, 13\/6, 243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z - 15 = 69. Suppose 5*a + 4236 = z*a - s, s + 2 = 0. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - 66*g**2 + 603*g + 117. What is the remainder when 93 is divided by d(55)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-4))\/(1\/(-6)). Let t(o) be the first derivative of 2*o**3\/3 - 2*o - 45. List the prime factors of t(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 586155?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-2) - 3\/3. Let n be 23\/(20 + t - 3). Let f = 112\/9 - n. What is the common denominator of 73\/3 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 divided by -1?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -19225 to the nearest one hundred.\nAnswer: -19200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 180.04 + -180. Let t = 4.04 - i. Which is the third biggest value? (a) -1\/4 (b) -1 (c) -0.04 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 60814172977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = -48*j - 7. Suppose 5*r - 837 = 3*t, j*t - 338 = 5*r - 7*r. Calculate the highest common factor of 63 and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**2 + 2*j + 1. Let l be w(-4). Suppose 14*n - 6*n - 5 = -t, -2*n = 3*t - 15. Calculate the highest common divisor of l and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sg when two letters picked without replacement from {g: 1, s: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mkmkggmgmmgkmm. What is prob of picking 2 m and 2 k?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 49*k - 27*k - 10 - 22*k + k**2. Calculate b(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 10322332212?\nAnswer: -10322332203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/11, 0.68, 8, 2\/3, 11.2?\nAnswer: 11.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of 5*d**4\/4 - 295*d**3\/3 - 3268. Solve h(y) = 0 for y.\nAnswer: 0, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -4. Let y = 1 - 0.95. Let v = y + -0.05. Which is the closest to 1\/2? (a) n (b) 5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67051?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 13 (b) 1\/4 (c) -1 (d) 9\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 34944055 to the power of 1\/2, to the nearest integer?\nAnswer: 5911","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25784781 is divided by 105244.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 66*d**4*x + 728*d**3*x**3 - 28*d**2*x - 2*d - 2*x**3 + 13*x**2 + 43 wrt d.\nAnswer: 1584*d*x + 4368*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -949 * -0.5.\nAnswer: 474.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 83713649 to the nearest integer?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 48219 divided by -21?\nAnswer: -16073\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 25*-49756.5\nAnswer: -1243912.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-16) + 1525\/976.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12138 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 26*d + 158. Calculate v(-7).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, 0.1, -2.5, -0.3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c3 - 2?\nAnswer: -1c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 2:10 PM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -167*k - 107*k**3 - 54*k**2 - 158*k + 325*k wrt k?\nAnswer: -642","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**4 + 1932*t**3 - 11530*t**2 + 9600*t.\nAnswer: -2*t*(t - 960)*(t - 5)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8571, -11232, -13889, -16542, -19191?\n\"Answer: 2*w**2 - 2667*w - 5906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((3 - 5)\/(-3*5\/30))\/(-2). Which is the third biggest value? (a) -4\/5 (b) j (c) -6 (d) -3\/5 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**2 + 13*c - 2. Let j be r(6). What is the units digit of j - (-4 - 136 - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -69 + 63. Let i = m + 4. Let n be (i - (-4)\/3)\/(22\/6). Which is the nearest to -0.1? (a) n (b) 0 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6163.011 millennia to decades.\nAnswer: 616301.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1.54 * 4\nAnswer: -6.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + -3 + 2 + 2)**2 - 4*(sqrt(700) - -1*(0 + sqrt(700))).\nAnswer: -60*sqrt(7) + 701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 <= 562\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -597377, -1194643, -1791909, -2389175, -2986441?\nAnswer: -3583707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 2*p**2 - 4*p - 2. Let z be d(-1). Is z at least as big as -1\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 2*c - 0*c - 6, 25 = 5*b + 3*c. Let j(y) = y**2 - 94*y + 2211. Let z be j(45). Solve -b - 22 = z*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 142 - 149. What is the closest to -1\/2 in 0.4, 1\/3, j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21933.008863 - -21933. Round r to 4 decimal places.\nAnswer: -0.0089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**2 - 22668*d - 204093 = 0.\nAnswer: -9, 22677","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(10\/4)\/(-1). Suppose -99 = -2*p - z, 8*p + q*z - 260 = 3*p. Let c = p + -31. Calculate the highest common factor of 144 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5864)\/12*3*(-2)\/(-84). Let k = -35 - l. Find the common denominator of k and -44\/21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 10:04 PM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + 5*g - 4. Let h be m(4). Suppose w - 12 = -q, 2*w = -h*w + q + 36. Let s = 28 - w. What is the highest common divisor of s and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112459.\nAnswer: 112459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -2*m**3\/3 + 1. Let v be (-3 + 18\/4)*(-4)\/(-3). Let h(g) = g**2 + 4*g**2 + 9*g**2 - 8*g**v. What is h(o(c))?\nAnswer: 24*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28*c**2 - 162*c**2 - 89*c**2 + c**2 + c**2 - c**2 + (c + 2*c**2 - c)*(-3 - 2 + 3).\nAnswer: -226*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a millisecond in microseconds?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9496 + 66437 = 39*u. Is u a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**5 + 184267*f**4 + 33*f**2 + 14.\nAnswer: -60*f**2 + 4422408*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11159636 to the power of 1\/2, to the nearest integer?\nAnswer: 3341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide (-15644)\/(-1) - (-9 + 23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -7\/155374?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110 + -11221?\nAnswer: -11111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49426 and 1066.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r = -2*z - 7*r, 4*z + 4 = 3*r. Let h be 4 - z*(-6 - -5). What are the prime factors of (-9)\/h - (-475)\/2?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 2*n**3\/3 + n**2 - 2*n - 1. Let w(v) = -v**2 + 5*v + 21. Let t(u) = -5*u - 17. Let h be t(-5). Let s be w(h). What is o(s)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 53*n + 24. Let p be d(-8). Let o = p - -412. What is the smallest common multiple of o and 27?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -9 + 0*w**2 - 2*w**2 + 9. Let v(s) = 14*s. Calculate b(v(i)).\nAnswer: -392*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 352134168 to the nearest integer?\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1370265713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 520.4 or 57.923?\nAnswer: 57.923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x + 21 + 64 - 85.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14208*p*q - 72*p - 159 wrt q.\nAnswer: 14208*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 6*d + 4. Let g(a) = 111 - 231 + 119 - a. Determine -3*f(c) - 14*g(c).\nAnswer: -4*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from elrooryorxlyryllello. Give prob of sequence lly.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 8) to base 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*84)\/12*(-2)\/7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20? (a) -1058 (b) 2555 (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ten thirds of a year?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u - 1. Let k(i) = -4*i**3 - 4*i**2 + 25*i - 7. Let n be (-8 + 4 + 3)*5. Let z(b) = n*l(b) - k(b). Factor z(q).\nAnswer: 4*(q - 1)**2*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 160 = 5*z. Suppose 8*j + 3 = 19. Calculate the lowest common multiple of j and z.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 943.2262 millennia?\nAnswer: 11318714.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 320*v**3 - 18480*v**2 - 1686675*v + 99838085 = 0.\nAnswer: -73, 523\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0006 and 24?\nAnswer: 24.0006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - 26*q + 5. Calculate s(27).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -3\/2, 9, -2.6, -1 in descending order.\nAnswer: 9, -1\/5, -1, -3\/2, -2.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + b**2 + b + 1. Let n(g) = 89*g + 5964. Let k be n(-67). Let r(f) = 7*f**3 - 2*f**2 - 6*f - 6. Determine k*r(u) + 5*p(u).\nAnswer: 2*u**3 + 3*u**2 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/12445, 3, -0.3 in increasing order.\nAnswer: -0.3, -2\/12445, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 56 = -n, 7*c - 27 = -3*n + 10*c for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/4 - 3026*p**2 + 12100*p.\nAnswer: p*(p - 12100)*(p - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.02 + 0.42. Let m = n - 0.4. Let z = 2 + m. Which is the smallest value? (a) -1\/2 (b) -4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v - 2. Let x be j(5). Suppose 4*h = 3*f - 0 + 3, x = -2*h + 3*f. Let r(t) = t - 4. Let l(n) = -n + 3. Let a(s) = -4*l(s) - 3*r(s). Calculate a(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 3. Let r be p(-8). Suppose -4*f + 0*f - r = 3*d, -3*d - 71 = 5*f. Let j = d + 15. Which is the nearest to 1? (a) -1\/4 (b) 2\/15 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**2 + 47*k - 45. Let d be n(-24). Let f(g) = 7*g + 155. Let v be f(d). Calculate the greatest common divisor of v and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 1039365\nAnswer: -4\/1039365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 7*h**2 + 3*h + 10. Let q be o(-8). Suppose 4*b - 2138 = -q. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -35978 + 14*q + 71883 - 35948 in the form p*q + o and give o.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 6:56 AM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2168800368.\nAnswer: 2, 3, 7, 131, 7039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 64 - 53. Let v(q) = 2*q**2 - 14*q + 1. Is v(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c + 11 + 29 = 17*c. Solve c*s = 4*w - 1, 3*s - 5*w = 4*s + 6 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 * -11\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -63, 0, -3, 49 in ascending order.\nAnswer: -63, -4, -3, 0, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*l - 239*l - 12832 = 0 for l.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*i**4 - 3*i**4 - i**4)*(3*i - 6*i - 5*i) - i**3 + i**3 + 5*i**5)*(2 - 8 - 9).\nAnswer: 45*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 5*m - 1541, 3*v = 4*m - 568 - 588. Let n = -190 - v. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2*r**2 - 11590*r + 41691100 = 0.\nAnswer: -8305, 2510","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of -5*g**7\/126 - 23*g**6\/90 - g**5\/6 + 2*g**4\/9 + 5*g + 11. Determine m, given that h(m) = 0.\nAnswer: -4, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**5 - a**3 + a**2 + 1. Let z(i) = -23*i**5 - 4*i**3 + 26*i**2 + 4. Let n(f) = -4*y(f) + z(f). Find the third derivative of n(v) wrt v.\nAnswer: -1620*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, 1\/3269, 11, 1\/2, 2\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*i*w - i + 79*w - 2613 wrt w?\nAnswer: 6*i + 79","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**3 - 3*w**2 - 3*w + 4. Calculate the smallest common multiple of 60 and k(3).\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4*z**3 - 6*z**2 - 8*z. Let d(n) = n**3 - n**2 - n. Let r = -239 + 238. What is r*c(u) + 6*d(u)?\nAnswer: 2*u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3657012.7 + -166710.7. Let t = s - 3490305.999954. Let m = t + 4. What is m rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11*(1428\/(-2244))\/((-1)\/(-2))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**2\/7 - 72*d + 16836\/7 = 0. Calculate d.\nAnswer: 46, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 3\/422?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8313, -19901, -34765, -52911, -74345, -99073, -127101, -158435?\nAnswer: -193081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 864 a factor of 23938644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45 + -28. Let u = y - 10. Solve 3*k + 2*g = -u, -g = -4*k + 3*g + 24 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1137 is divided by 286?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*j + 2*j - 8. Let w = 5\/14 + -29\/42. What is the closest to w in 0, 3, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 + -26. What is the remainder when 6 is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -300 + 469. Let m = o - 168.548. What is m rounded to two dps?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (7 - ((19 - -4) + -1)) + 6.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 2*c + 1. Let q be m(-3). Let n be (-2)\/(q - 8\/(-5)). Solve 5*k = 3*i + 24 + 13, 25 = n*k for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1009968 and 5088?\nAnswer: 2544","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 831 is divided by 101?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 223450327 and 0.2728.\nAnswer: 223450327.2728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -130 - -142. Let s(l) = 4*l**3 - l**2 - l + 1. Let n be s(1). Is p at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53b2a (base 13) to base 10\nAnswer: -151291","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 12:16 AM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*w - 1571 + 13*w + 14*w - 54*w + 11*w to the form y*w + a and give a.\nAnswer: -1571","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-24)*7\/((-210)\/(-12))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46898*v - 14181*v - 22946*v.\nAnswer: -84025*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6116*b = 684*b - 459762 - 181214 for b.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**2 + 4675*g + 28134. Determine r(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -31, -103, -223, -391?\n\"Answer: -24*m**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 11 - (32 - (32 + 7))) + 1.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l. Let h(m) be the third derivative of -3*m**5\/20 + 12*m**2. Calculate y(h(g)).\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40600, 40487, 40372, 40255, 40136?\nAnswer: 40015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -13*f**2 + 23\/24*f**4 + 0*f + 0 + 0*f**7 - 5\/168*f**8 + 0*f**5 + 0*f**3 + 0*f**6. Find the second derivative of z(q) wrt q.\nAnswer: -200*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2b - -1d0a1?\nAnswer: 1d0cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 13) to base 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/2 + 6 + 12. Let l = z - 13. Suppose -l*s - 23 = -5*s + 5*g, -4*s + 2*g = -22. Put 5, s, -5 in ascending order.\nAnswer: -5, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 + -15. Suppose -4*p - 5*q = 35, -40 + g = 2*p + q. Suppose -5*m - 12877 = -12812. Is p bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 848276 is divided by 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**3 - a**3 - 57236*a + 5*a**3 + 92*a**2 + 57236*a - 89*a**2.\nAnswer: 6*a**3 + 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0135044 rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 2184867?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-80688)\/55473)\/((-8)\/473)\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 8*o**2 + 9*o - 2. Let z(b) = -3*b**2 + 48*b + 9. Let h be z(16). Determine i(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*n - u + 57, -4*n - 676*u - 28 = -342*u - 338*u for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*f**3 + 320*f**2 - 5300*f + 9360 = 0. What is f?\nAnswer: 2, 26, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2726 + 2722. Sort -21, -17, o, 1 in decreasing order.\nAnswer: 1, o, -17, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 466886 is divided by 394.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -540923*b**3 + 3144*b**2 + 217 wrt b.\nAnswer: -3245538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25 - 22) + -8 + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00071851489 to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.2507912 millilitres?\nAnswer: 0.0002507912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20025780?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.5977 millilitres to litres.\nAnswer: 0.0225977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 2 - (112784\/114)\/(-106).\nAnswer: 34\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 14.78706ms?\nAnswer: 14787060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 368120 = -4*a + 45564. Let n = -22361 + a. Round n to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iffb when four letters picked without replacement from jbbibgbfbbijbfb.\nAnswer: 4\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 248.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.681 + 0.096. Let n = -0.185 - h. Let t = -1.1 - -1.03. Put n, -3, t, 3 in decreasing order.\nAnswer: 3, n, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 5*v**2\/4 + 144385*v + 4169405645 = 0.\nAnswer: -57754","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 7*y**2 + y - 13. What is g(-8)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3208095479 to the power of 1\/3, to the nearest integer?\nAnswer: 1475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 21 + -26 + (3 - (-9 - -4))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193745499.\nAnswer: 3, 64581833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 167.4035 and -429.\nAnswer: -261.5965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18256583?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188*h = -179*h - 576. Suppose -4*a - 2*p = -h, -7*p = -3*p + 8. Calculate the highest common divisor of a and 391.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135022.7544 - 8.364?\nAnswer: 135014.3904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96876547 is divided by 129.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*o**2 + 0*o**2 - o**2)*(4277*o - 8545*o + 4268*o + 4921*o**2) to m*o + i*o**4 + u*o**2 + d*o**3 + x and give i.\nAnswer: -4921","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 5, b: 1, i: 4, n: 1, t: 1}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 485859 + -485563.0789. Let l = x + -296. What is l rounded to three decimal places?\nAnswer: -0.079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 225489362.99999944 - 225489380. Let x = 17 + v. What is x rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uxq when three letters picked without replacement from qmmmxqxvvvmuvmxxuxmm?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2390 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 585 = a, 573 + 26 = a - 2*c. Which is smaller: 616 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2580104570 rounded to the nearest one million?\nAnswer: 2580000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 11, 21, 37, 59?\n\"Answer: 3*r**2 + r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/((d**(-13)\/d)\/d)*d\/(d**3*d)*(d**(-1)*d)\/d*(d**13*d)\/d assuming d is positive.\nAnswer: d**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2690191.8 months in decades?\nAnswer: 22418.265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 381, 459, 537, 615, 693?\nAnswer: 771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1875 = 25*z, -2*t + 4*t - 4*z - 4*z = -2*z - 5*z + 85 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**3 - 3*g**3 + 0*g**3 + 4 - g**3 - 4 + (2 - 2 - 2)*(3*g**3 + 0*g**3 - 2*g**3))*(-22 + 18 - 2*g + 11).\nAnswer: 10*g**4 - 35*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.90910342 to one decimal place.\nAnswer: 30.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 820*a**2 + 101*a**3 + 1440 - 49*a**4 - 2580*a + 3*a**5 + 0*a**5 + 39*a**4 - 8*a**5 + 234*a**3 = 0. Calculate a.\nAnswer: -6, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q - 22*q + 9*q + 3*q + 7*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 42 and 8.159386?\nAnswer: 33.840614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-4 - 1) + (1 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 22\/3 + -1 + (-84)\/63. Suppose 3*y + 5*w - 8 = 257, -4*y + c*w + 330 = 0. List the prime factors of y.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 29*n**2. Let y(z) = -16*z - 21. Let o(c) = -143*c - 182. Let i(l) = 3*o(l) - 26*y(l). What is p(i(u))?\nAnswer: 4901*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y + 947 + 800 - 1588 in the form m + g*y and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2676296\/(12\/(-3))*1*3\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -4*i + 65 - 3, 0 = -2*i + 5*p + 56 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2485 - 17.\nAnswer: 2468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 77*c**2 - 5 + 5 - 62*c**2 - 21*c**2. Let a(l) = 461*l - 1. Determine a(i(o)).\nAnswer: -2766*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o**(-6\/13))**(3\/5))**1)**(12\/11))**18 assuming o is positive.\nAnswer: o**(-3888\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 311 + 2328 = 5*j + b, -3*j = b - 1583. Suppose -3*x = -5 - 4. Suppose x*t = 5*t - j. Is 40 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + 2*c + 8. Let r be t(4). Suppose 5*f = 4*k - 37, 2*k + r*f = 3*f + 21. Let z(h) = 56*h + 7. Is 25 a factor of z(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*1\/(-2))\/3*-5.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -31*c**3 - 1581*c**2 + 21*c + 1069. Give j(-51).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 11*m**2 - 14*m + 12. Suppose -z = 2*n + n + 3, 5*z - 2*n + 66 = 0. What is the tens digit of s(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 9 = 13. Let z = k - 16. What is the derivative of 2*w**2 - z*w**2 - 3 + 7 + 2*w**2 wrt w?\nAnswer: -4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81.51318t to nanograms.\nAnswer: 81513180000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 5*u**2 + 2*u - 3. Let d(n) = -n**2 - n + 1. Determine 2*d(o) + i(o).\nAnswer: 3*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -5*p + 90. Suppose 18 = 3*d - 9. What is the greatest common factor of p and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**3 + 16*k**2 + 2*k - 12. Let v be p(8). Suppose 0 = 5*j - 5*y - 15, y - 7 = -5*j + 4*j. Solve -3*l + j*a - v = 3*a, a = -3*l + 11 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-5 + 3 - 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 0.2509?\nAnswer: -1.2509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -2) + -30 + -24 + 33.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 6, -4, -239 in descending order.\nAnswer: 6, -3, -4, -239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1697, -3, 104?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 13*f**2 - 197*f - 33. Calculate j(22).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 49*l + 8521*l**4 - 8520*l**4 - 3*l**2 + 4 as f*l + q*l**4 + o*l**2 + n + z*l**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -15, -64, -143, -252, -391, -560?\n\"Answer: -15*y**2 - 4*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*v - 39 = 7, -3*m - v + 31 = 0. Suppose -2*c + m = c + 3*l, 4*c + 2 = 5*l. Let t = c - -63. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 12) to base 16.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 41 = -11. Let a = k - 3. List the prime factors of a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.24 - 0.76. Let n = 0.8 - 1. Which is the third smallest value? (a) y (b) -1\/2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2501798?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 211, 214, 219, 226, 235?\n\"Answer: f**2 + 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i**2 + 46084*i + 15360 = 0. Calculate i.\nAnswer: -3840, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ezg when three letters picked without replacement from {i: 2, g: 4, c: 1, z: 2, e: 1, x: 2}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12.101 + 106.101. Which is greater: -4 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of d**3\/6 - 4399*d. Let n(a) = -6*a - 2. Give 8*j(p) + n(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y - 9. Let l be p(16). Let j(b) = 7*b**3 - 2*b**2 + 1. Let a be j(2). Let x = a + l. What is the highest common factor of 60 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 478.3*-0.116.\nAnswer: -55.4828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-5))\/(((-525)\/182)\/25). Which is bigger: -0.1 or r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w - 585 - 3831. What is the hundreds digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6121?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 2*y + 33. Is (-5)\/15*(y - 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - a + 15 = -4*g, 2*a + 4 = -2*g. Let t be g\/(-2)*(-1 + 3). Solve 2*n - m = 3*n + 2, t*n = m - 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 21\/28 + 423\/12. Let r be 426\/k + 1\/6. Let l = -6 - -9. What is the highest common factor of l and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9 - 59)\/(3\/(-300)*2). Let g = z + -1456. Suppose 5*q - g = j, -q - 2*j + 0*j = -200. What are the prime factors of q?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -24*g**2 - 2*g. Let k(p) = -12*p**2 - p. Calculate 4*h(r) - 7*k(r).\nAnswer: -12*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 2*w = 2, 5*w = -0 + 25. Suppose -4*t + 1 = 3*q, 3*t + 5*q = -t + 7. Let v be (0 - 1) + 0\/3. Sort x, v, t.\nAnswer: x, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of 80*p**3 + 170*p**2 - 356*p. Differentiate c(k) wrt k.\nAnswer: 480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 124, 2\/21, 19, 3, -0.1?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -130102 (base 4) to base 9.\nAnswer: -2431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47 + 2*r + 9*r + 5*r + 89 - 45.\nAnswer: 16*r - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9970000 rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 5*a + 52 = 87, 4*a = -8. What is the closest to o in 2, -4, 25?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of q**6\/2340 - q**5\/390 + q**4\/156 + q**3\/2 + 7*q. Let t(y) be the second derivative of f(y). Determine h so that t(h) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -k**2*m - k**2*w**2 + 8*k**2 - k + 133*m*w**2 - w**2 with respect to w.\nAnswer: -2*k**2*w + 266*m*w - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -31a8f (base 16) in base 4?\nAnswer: -301222033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i + 19*i + 17*i)*(-3*i + i + 0*i)*(-4 + 1 + 5).\nAnswer: -128*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 9:59 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 9.06. Let j = 7.08 - 0.08. Let b = j + a. What is b rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02265847 to 4 dps.\nAnswer: -0.0227","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 + 0.1. Let w be (1 + -1 + -1)\/(10 + -11). What is the nearest to 0 in w, t, 0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2310732 is divided by 71?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -353*q - 292 = 320*q - 796*q + 815 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -10 (b) 4695 (c) 130 (d) 2\/17 (e) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = k + 4*b, 3*k - 4*b + 98 = -2*k. Let s be (-8)\/k*(-2)\/(-4). What is the smallest value in 0.4, -0.1, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 - -22.134. Let z = 0.334 - y. Let d = -5.08 + 0.08. What is the nearest to 1\/2 in d, 0.4, z?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 6*s + 5 = -w, 0 = 5*w + 4*s + 25 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 3*q**3\/4 + 7647*q**2\/4 + 277590*q + 10383804 = 0.\nAnswer: -2397, -76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) -0.107 (c) 4\/81 (d) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 759 is divided by 213?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 19*y - 14. Let m be b(18). Let r be (m + 8\/(-2))\/(-1). Suppose 2*w + 0*w + 5*f - 15 = 0, r = 5*w - f - 24. Solve -3 = j - w for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26745 - -26757.397. Let d = -0.003 - n. What is d rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29288\/19 - -1542. Sort 0.3, 1, l in ascending order.\nAnswer: 0.3, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - v = 0, 2*p - 4*v = 5*p. Let c = -104 + 128. Suppose -12 = -2*b - 0*b - 2*f, -c = -5*b - 2*f. Solve j + 8 = -p*j - u, j - 2*u - b = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p**3 - 75*p + 8. Let z(m) = -2*m**3 + 50*m - 5. Give -5*u(j) - 8*z(j).\nAnswer: j**3 - 25*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**3 - 3*s**2 + 2. Let v(a) = -2*a**2 + 7*a - 6. Let c be v(4). Let r = c + 12. Determine u(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = 3*u - 9, 0*z = u + 2*z - 7 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 3068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**5\/5 + 2278*q**4\/5 + 866394*q**3\/5 + 22120714*q**2 + 217759756*q\/5.\nAnswer: 2*q*(q + 2)*(q + 379)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.3, 3, 2\/5, 226 in decreasing order.\nAnswer: 226, 3, 2\/5, 0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -2 (c) 2545\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3992623472?\nAnswer: 2, 249538967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + (-15 - (-35 - (10 + -25)))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 83*t**2 + 44*t**2 - 32*t**2 - 74*t**2 - 51*t**2 + t.\nAnswer: -196*t**2 + t - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -i**6\/120 - 3*i**5\/20 - i**4\/3 + 4*i**3\/3 + 21*i**2. Calculate the least common multiple of n(-8) and 22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(4*(-1)\/4). Are m and -15 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -59 - -107. Let l be (p\/(-224))\/(12\/(-14)). Which is greater: -17 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21 in -10\/7, -2\/3, 4, 29, 1?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 6, 0*b + 4*b - 2 = 3*w. Let z(s) = -26*s**2 - 16*s**2 + 27*s**w. Let y(g) = g**2. Calculate y(z(c)).\nAnswer: 225*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s - 2*s**3 - 3*s**2 + 4*s**3 + 0*s - 4. Let i(j) be the first derivative of -j**4 + 5*j**3\/3 - 5*j**2\/2 + 7*j - 2. Determine -5*c(k) - 3*i(k).\nAnswer: 2*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 790825 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r + 4*a - 2, 0 = 11*r - 6*r + 2*a - 19 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 11*p**2 + 54*p + 7. Let a be g(-5). Calculate the greatest common divisor of 588 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = k + 3*h, 0*h - 5 = -h. Suppose 51 = -0*i + 3*i. Let a = i + k. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 bigger than 38815\/1077?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from yygygyxxxy.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21815351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4776*n**4*u**3 - n**4 + 26*n*u**3 - 34*u**3 wrt n?\nAnswer: 57312*n**2*u**3 - 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2632850 rounded to the nearest one hundred thousand?\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2727, 1\/3, 0.5, -0.2, 2\/5?\nAnswer: -2727","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i + 19*i + 1628 = -11*i for i.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 13*u - 4 + 7*u - 36*u + 4*u + 9*u. Let l(d) = -d - 1. Suppose -5*h + 3*x - 14 = 0, 14 = -2*h + 5*x - x. Determine h*o(t) + l(t).\nAnswer: 2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 627466142.\nAnswer: 2, 313733071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 23 + 29. Let p be 77 - (0 - 4\/(-2)). Suppose -3 = k - 3*m - 18, 0 = 3*k - j*m - p. Calculate the lowest common multiple of k and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 5*b**2 + 2*b - 1. Let g be p(1). Let o = 11.1 - -86.2. Let c = o + -97. What is the third biggest value in -3, c, g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -4*f**3 + 7*f**2 + 2*f + 10. Let r(b) = 5*b**3 - 8*b**2 - 4*b - 10. Calculate 6*r(o) + 7*t(o).\nAnswer: 2*o**3 + o**2 - 10*o + 10","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 76 + -74. Put 1, -4, -1\/2, r in decreasing order.\nAnswer: r, 1, -1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n - 5551 + 5551.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 7*k - 22 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35.72470314 + -15.2752975. Let g = 51 + p. What is g rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1571359759 to the nearest integer?\nAnswer: 39640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 171 * -2.\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1206 to 2 decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 5*o - 51. Let x be a(27). Find the common denominator of -71\/10 and 93\/x*(2 - -4).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 663.291 weeks to days.\nAnswer: 4643.037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 357\/(-210) - 12\/(-10)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -69344\/3 greater than -23116?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -6*q**2 - 1. Let u(l) be the second derivative of -3*l + 0*l**3 + 0 + 0*l**2 + 1\/12*l**4. Determine -f(h) - 5*u(h).\nAnswer: h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 244298009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 15 + -1 + 0 + 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1088 a factor of 6027755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 176*c**3 - 8*c**2 - 8. Let w(k) = -k**2 - 1. Determine -8*w(t) + z(t).\nAnswer: 176*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + -4. Let w = f - -7.1. What is the third smallest value in -0.2, 2\/3, w?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21 + -12 - -5) + (-1 - 16) - -5 - 60.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -659517*k**4 - 2113999*k wrt k?\nAnswer: -7914204*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 26 * -0.05\nAnswer: -1.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/2 + (-69)\/(-18)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 76002, 304002, 684000, 1215996?\n\"Answer: 75999*z**2 + 3*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-6)\/u**(-7\/2))\/((u*u**(1\/8))\/(((u*u**(-5)*u)\/u)\/u))*((u\/(u**2*u)*u)\/(u\/u**(-2)*u*u))**(6\/7) assuming u is positive.\nAnswer: u**(-771\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -457, -1022, -1587, -2152?\nAnswer: -2717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in 0, -4, -4\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4*n - 49 = -13, 0 = -5*l + 4*n - 42. Let h(i) = -8 - i + i + 0*i - 3*i. List the prime factors of h(l).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 42?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(320) - sqrt(320)*-4)**2*3 + 2.\nAnswer: 24006","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205*p - 38*p + 190*p.\nAnswer: 357*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 199380514 and 138.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(77)\/(sqrt(7) - sqrt(84)\/(2*sqrt(12))) - (-2*sqrt(539) + 3 + -4 + sqrt(539) + 0)**2.\nAnswer: -540 - 22*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*x + 810 + 1842 = 0 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 3*t = -1653, 3*t + 3 - 6 = 0. Let k = a - -615. Calculate the greatest common factor of 585 and k.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43 by -9044843.\nAnswer: 43\/9044843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 18 - -4b?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -3 (c) 0.3 (d) 1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3404\/(-115))\/(24149\/(-615) - -39).\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -95*p + 782. What is the remainder when 503 is divided by z(8)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 34. Suppose -4*s + p = s + 2*w, 0 = 3*s - 2*w - 19. Suppose -m + s*m = 184. What is the lowest common multiple of m and 6?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116 + 66 + 63 - 13 - 131*c.\nAnswer: -131*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 6*y**3 + 0*y**2 + 1 + y**4 - 2*y**2 - 4 in the form a*y**2 + c*y**4 + n + t*y + d*y**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 553188 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 9*x**2 - 10*x - 12. What is w(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - v = 17, 2*g + 3*v + 14 = -v. Solve -3*k + 18 = g*i, -3*i - i - k + 21 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - -6. Let d = q + -14.5. Let u = d - -4. Is u less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23723, 23718, 23711, 23702?\nAnswer: 23691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.1 + -8. Let m = 1.43 - 0.43. What is the biggest value in -4, f, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + 1*(-3 - -2). Let x be (-1)\/(j\/(-3)) - -2. Solve x*h - 8 = -3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 44585\/2 - 22294. Which is the second biggest value? (a) f (b) 4\/5 (c) -11590\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -283*m + 278*m = 0. Let p be (-2)\/8 - 10\/24. Which is the closest to m? (a) 0.4 (b) -4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 24 = -0*v - 5*p, -4*p - 24 = -4*v. Solve -v*s + 4 = -2 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 12:37 AM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 10. Suppose g + m*a = 2*g - 5, -13 = -4*g + 5*a. Solve 2*c - 8 = g*s, 4*c + 1 = -s - 8 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.598649 millennia in years?\nAnswer: 6598.649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/9)\/m**(-2\/5)*(m\/m**(2\/3))\/m*m*m**(-1\/6) assuming m is positive.\nAnswer: m**(71\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k**4\/2 + 175*k**3\/4 + 130*k**2 + 5*k - 40 = 0. What is k?\nAnswer: -2, -2\/3, 1\/2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -3531757 and -3531757 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -2*t + 0 - 1\/28*t**4 + 3\/7*t**3 - 27\/14*t**2. Solve v(b) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34 or 15839?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(32) + 3).\nAnswer: 3 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*x + 18*x**3 - 45*x**3 + 26*x**3 + 24 + 8*x**3.\nAnswer: 7*x**3 - 9*x + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 135*n**2 + 5*n + 100. Let t be o(-8). Is t\/3 + -5 + -5 + 7 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110100 - 10110001101?\nAnswer: -10100011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.712627 + 0.6816231. Let v = c - -0.031. What is v rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -12 + 25 + -22?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 5*n + 10, 0 = 2*w - 0*w - 4*n - 14. Put -8, w, 3 in decreasing order.\nAnswer: w, 3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/1541 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 731 bigger than 732?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/80751 and -55\/12624?\nAnswer: 339800208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 4*o. Let a(r) = 3583*r. Calculate a(c(z)).\nAnswer: 14332*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7291*g**3*z**2 - 31*g**3 + 3640383*g**2*z**2 wrt g.\nAnswer: 43746*z**2 - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of 5*v**3\/12 - 111*v**2\/4 + 22*v + 1764. Factor d(w).\nAnswer: (w - 44)*(5*w - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/22 and -63\/520?\nAnswer: 5720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 7) to base 14\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzkc when four letters picked without replacement from {a: 4, h: 1, z: 2, k: 1, c: 1}?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -x**5\/450 - x**4\/6 - 224*x**3\/45 + 35*x**2 - 7*x. Factor p(a).\nAnswer: -2*(a + 14)*(a + 16)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*p**2 - 2 + 12*p**2 + p**2.\nAnswer: 40*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42725987.\nAnswer: 2687, 15901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -269732552567+-138\nAnswer: -269732552705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-8)*88\/(-99)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -799, -1603, -2409, -3217, -4027, -4839, -5653?\n\"Answer: -c**2 - 801*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -34039400.54 + 0\nAnswer: -34039400.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 8. Suppose 5*q + 4*u - 267 = 0, -h*u + 31 = q - 32. Let r be (q\/6)\/((-2)\/(-4)). Calculate the highest common divisor of 51 and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-220)\/(-121) - (-4)\/22. Let z be (-7 - -1)*(-14)\/(-4). Let f be ((-24)\/z + -1)*2. What is the closest to u in f, 4, -1\/10?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 507.7532 - 504.291447. Let t = 0.261428 - r. Let u = -3.2 - t. Round u to 5 dps.\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**4 - b**3 - 1. Let m(z) = -z**4 - 71*z**3 + 200*z**2 - 2. Let u(t) = 2*d(t) - m(t). What is the third derivative of u(i) wrt i?\nAnswer: -24*i + 414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -527, -1104, -1779, -2600, -3615, -4872, -6419?\nAnswer: -8304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/30? (a) 1\/8 (b) 3\/4 (c) -753 (d) -1 (e) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 3*k + 4, -2 + 21 = -3*f - 2*k. Let a(i) = -i**3 - 4*i**2 + 10*i + 18. Let x be a(f). Suppose -9*b - x = -311. Is b <= 24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 8*p - 8. Let w be a(-7). Which is smaller: w or -2\/11?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 5886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179 + 159 = 5*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3135802*k*p - 6*k - 8096268*p + 3 wrt k.\nAnswer: 3135802*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-366191)\/27 - (-1 - 1). Let u = k + 13559. Calculate the common denominator of u and 53\/4.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44421002 (base 5) in base 8?\nAnswer: 1367415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*10\/((-150)\/2313)*(-5)\/1. What is the greatest common factor of 3 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 203 = 4*z, 0 = z - 0*z + 4. Find the common denominator of 65\/78*d\/5 and (-45)\/(-2)*(-12)\/(-200).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/5)\/(56\/80)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 - 9*b - 4. Let u be j(10). Let l(z) = -z**3 + 8*z**2 - 8*z + 1. Is 12 a factor of l(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 45651? (a) -11 (b) 0.5 (c) -2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326*k + 271*k = -2985 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1025961 times 0.2?\nAnswer: -205192.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 26\/11*u + 16\/11*u**2 + 2\/11*u**3 + 12\/11 = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 181699171?\nAnswer: -726796684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.089 - 0.289. Let y be (-2)\/4*(-4)\/6. Sort y, q, -3.\nAnswer: -3, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llrooooolliooyroooil. Give prob of sequence yrio.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 3\/2, 2, -4, -75, 6 in decreasing order.\nAnswer: 6, 2, 3\/2, -2\/5, -4, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -5 (c) 9 (d) 1\/6 (e) 14\/7781 (f) -0.4 (g) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(726) + (sqrt(726) - (-2*sqrt(726) - sqrt(726) - sqrt(726))*-6))\/(-4*sqrt(6)\/sqrt(3)*-1)*-3)**2.\nAnswer: 1581228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 436 + -225. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*m = 39 + 11. Let c(q) be the first derivative of -1\/4*q**4 + 2 - 3\/2*q**2 - q - 2\/3*q**3. What is c(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 355490*j - j**2 - 355490*j + 2*j**2 - 3*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -8 + 4*r + 2 + 20*r**2 - 9*r - 2. Let b(v) = v**3 + 5*v**2 - v - 7. Let f be b(-5). List the prime factors of n(f).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -10 - -7 - (-3 + -2). Find the first derivative of -468*f**2 + 62 + 41 + 96*f**4 + 468*f**l wrt f.\nAnswer: 384*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**2 + 22*f + 5 + f**2 - 7*f + 2*f**2. Let u be a(-9). Let c = u - -72. Is c a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -a**6\/40 + 63*a**5\/20 + 33*a**4 + 134*a**3 - 66*a**2 + 7. Factor d(f).\nAnswer: -3*(f - 67)*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 139781, 279172, 418563, 557954, 697345?\nAnswer: 836736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 851\/12 + -71. Let i = 2349\/28 + -589\/7. What is the nearest to -1 in -4, i, -0.1, j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*m - 163 - 56 = -50 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i + 1. Let c be m(-1). Let s be 5\/3 - 16\/24. Let f be (-1)\/(-1) + (s - 0). Calculate the highest common divisor of c and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 3 - 3 - 12. Let a = 16 + s. Solve -4 = a*o + 2*g, -4*g = o - 1 + 3 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-1) - (-6)\/(-10). Which is the second smallest value? (a) 49 (b) -2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrgrrrrrrrrgrgrr. What is prob of sequence rr?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0)**33\/(c**(-5)\/c**(-3)) assuming c is positive.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-4) + 57\/6. Is i < 25\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -6*n**2 - 2*n + 2. Let o(h) = -18*h**2 - 7*h + 7. Give -21*k(l) + 6*o(l).\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 354, 443, 532, 621, 710?\nAnswer: 799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2498 + -927. Let x = k + 632. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1916570014?\nAnswer: 2, 19, 149, 338497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 60234 to the power of 1\/2, to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -333.\nAnswer: -66.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 4*f**2 - 5806312*f - 133547292 = 0.\nAnswer: -23, 1451601","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -190634, -190630, -190626, -190622, -190618, -190614?\n\"Answer: 4*r - 190638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of 7*f**3\/6 + f**2 + 10*f. What is the tens digit of c(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 12*g - 99. Let v(u) = -u**2. What is z(v(m))?\nAnswer: -12*m**2 - 99","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 415*s**3*w - s*w + 4*s + 24*w wrt s.\nAnswer: 2490*s*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -108*n + 19*n**2 - 21*n**2 - 8*n**3 + 114*n in the form r*n**2 + p*n**3 + w + x*n and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 398 + -386. Let l be (u\/150)\/((-8)\/(-40)). Put l, 3, 28 in increasing order.\nAnswer: l, 3, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79456598377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 8*b + 8. Let w(y) = -39*y - 2030. Let c be w(-52). Let z(j) = 82*j - 1. Let a be z(3). Let q be (-1890)\/a - c\/(-7). Calculate k(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200 = -336*p + 338*p. What is the highest common divisor of p and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-49 - -46)\/(-3 - 54\/(-4)). What is the biggest value in 2, 12, o, 1\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9.88 + 8.9. Is n > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -34512, -34427, -34342, -34257, -34172?\n\"Answer: 85*b - 34597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w. Let d be t(-4). Suppose -d*g + g = 1815. Let k = g - -412. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 482710152 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (43 + -31 - (-19 - -37)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 579 is divided by 240?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2373 - -2419. Calculate the highest common divisor of u and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 126 (b) 5 (c) -2858.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -11*s - 98. Calculate y(-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 + -907?\nAnswer: -901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (14 - 4) - (1 + 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v - 7. Suppose 3*u + 1 = 7. Let h(g) = g**3 - 2. Let z be h(u). What is the units digit of s(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4160, 3758, 3362, 2972, 2588?\nAnswer: 2210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 4 - (-2 - (-3 + -2))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6691420794?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 38 - 23 + 17*c + 22 + 77. Let i be g(-5). Is i >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 262 = 271?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1133 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t + 80. Let l be h(0). Let g be ((-115)\/15)\/(1\/(-6)). Let m = l - g. What are the prime factors of m?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 280164 + 33565. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w + 2585 = 12*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68835350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 137235, 548934, 1235111, 2195766, 3430899, 4940510, 6724599?\n\"Answer: 137239*i**2 - 18*i + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + n**2. Let b = 8 - 5. Let y(c) = 2*c**3 - c**2 - 2. Let o be (-8)\/(56\/35) - -6. Let l(d) = b*k(d) + o*y(d). What is l(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of 2*t**7\/35 + t**3\/2 + 5*t**2\/2 - 7. Let a(r) be the second derivative of l(r). Find the first derivative of a(w) wrt w.\nAnswer: 48*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -81 - 99. Let p = v - -192. What is the smallest common multiple of 12 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -84*h - 123*h + 204*h - h**2 - 6. Give v(-6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -173.53809875 - -0.97432075. Let d = x + 3.581478. Let b = -169 - d. What is b rounded to 3 decimal places?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -681? (a) 22\/9 (b) 0.4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 9*t - 240 = 13*t, -2*b + 236 = -2*t. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 6*z**2 + 3*z - 8. Let y be x(-7). What is the units digit of y\/(-4)*(13 + -11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (18\/(-6))\/((-6)\/(-4)). Let f be (1 + (1 - t))*1. Solve 0 = -f*h - 3*d + 19, h - 6 = -0*d - 2*d for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/3)\/2)\/(-5*(-14)\/(-210))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5154 - -5155. Let s be -1*(0 - -7)*-1. Calculate the highest common factor of m and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - t + 20. Let m be c(0). Let x = 219 - 100. Let i = -89 + x. Calculate the highest common factor of i and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-14)\/(t**(2\/19)*t)*(t**16*t)\/t*t**(-6\/7)*t assuming t is positive.\nAnswer: t**(138\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -75 + 198. Let i = 278 - o. Suppose 3*t - 5*t + i = 3*p, 0 = t + 5*p - 74. Is t 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 {e: 5, a: 7, s: 8}. Give prob of picking 1 s and 3 e.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5*((-24)\/15)\/(-2). Let r be ((-12)\/20)\/(6\/4). Which is the closest to -2\/5? (a) -0.5 (b) d (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1081 + 3578. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1\/4, -3, -9, 6, 3\/11, 18 in increasing order.\nAnswer: -9, -3, -1\/4, 3\/11, 3, 6, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -507 (base 11) to base 12\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v = -3288 - 14. Let v*l**2 + 30*l - 33 - 259*l**2 - 41 + 29 = 0. What is l?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/20? (a) -0.4 (b) -6\/7 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16275?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of 11*n**4\/12 + 5*n**2\/2 - 3*n. What is the derivative of s(h) wrt h?\nAnswer: 22*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -0.4, -1, -14789, -0.3, -0.7?\nAnswer: -14789","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76669, 76675, 76681, 76687?\nAnswer: 76693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9317\/1551 - (28\/84)\/((-3)\/(-54)).\nAnswer: 1\/141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 7.37, -0.2 in increasing order.\nAnswer: -0.2, 7.37, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 3*b = 5*z - 3607 + 3667, -2*b = -6 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(17\/5 + -3). Suppose b*w = 3*w. Suppose 35 = 5*v + 5*y, w*v + 2*v = -y + 9. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 - 2)*(1 + 1 - 4) - 3 + 2 - 1)*(-19*y + 16*y + 25*y).\nAnswer: 44*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = 4*r + 4*v, 27 = 3*r - 4*v - 8 + 23 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - (-2 + -1 + sqrt(117)))**2 + sqrt(117) + 4 + (sqrt(117) - (sqrt(117) + (sqrt(117) - -2*sqrt(117))))**2 - (-4*sqrt(1053)*2 + 1)**2.\nAnswer: -66327 + 147*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 2) + 50 + -65 + 29?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ohii when four letters picked without replacement from {o: 8, g: 1, a: 3, h: 3, i: 2, x: 1}?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 40*b*h**3*x**3 + 419*b*h**3*x**2 - 21*b*h**2*x + 17*h**3*x**3 - h**3 + 2*x wrt x?\nAnswer: 240*b*h**3 + 102*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 33*l**2 - 3*l + 6. Let m(y) = -33*y**2 + 2*y - 5. Let a(n) = 5*m(n) + 4*p(n). Let u be a(-1). Let k = u - -45. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 395 = 304. Calculate the remainder when n is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 134 = 3*u + 60, 4*u - 5*y = -246. Are u and -317\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 126 - -781. What is the hundreds digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q + 3*q = -3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-150)\/1125 - 163\/15. Calculate the remainder when -5 - (-11 - g) - (-117 - -2) is divided by 61.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 4826 = -4*g, -9*h + 3*g = -11*h + 1935. Is h a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -2. Let p = 241 - 241. Solve p = -z + 4*o + 2 + 8, -5*z = h*o - 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133075142.\nAnswer: 2, 29, 47, 48817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 14*i**2 + 49*i + 3. What is r(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 14*s + 29. Let w be c(11). Let p be -1 + (10\/2)\/((-2)\/w). Suppose v = -6 + p. Solve 3*b + v = n, 0*b = 3*b + 5*n - 15 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -3 - 1 - (0 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a - 57 + 102 + 6*a**2 - 47. Calculate o(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9 + -20 - -1466 - -14. Is 1469 at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(63)*-3)\/sqrt(9) + (sqrt(7) - (sqrt(63)\/sqrt(324))**2)*3.\nAnswer: -3*sqrt(7) - 7\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -51 + (-2 - -1) - (10202 + -10198)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -w + 5*w. Solve o = -2*f + 4, -f - 1 + w = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2 - 4 = 0. Let k be ((-4)\/34 - 2) + q. Let a(r) = -r - 9. Let n be a(-10). Which is smaller: n or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 262600 and 60600.\nAnswer: 787800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) - 6*(sqrt(187) + -3*sqrt(187)))\/((-3*sqrt(110))\/sqrt(10)) - ((2 + sqrt(612))*-6 + 3*(sqrt(612)*2)**2).\nAnswer: -7332 + 95*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -9 (b) -2\/9 (c) -0.2 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - 4*30\/(-36)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 68 = -2*l - 2*z, l - 5*z = 61. Suppose 15 = -4*o + 5*k + l, -3*o + 12 = 5*k. What is the smallest common multiple of o and 11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 3*t**2 - 2*t - 5. Determine o(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9\/(36\/16))\/4. Let t(a) = 40*a - 2. What are the prime factors of t(j)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70 and 77?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -5*z**2 - 20*z + 30. Let p(x) = x**2 + 4*x - 6. Let s(c) = 11*p(c) + 2*w(c). Let n(g) = -g**3 + 6*g**2 - g + 1. Let t be n(6). Calculate s(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 x, and 1 m when three letters picked without replacement from jajjcmccjjjx.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.1, 4, 37, 5, 24, -1\/2, 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2186886.\nAnswer: 2, 3, 13, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -12*c + 3. Let n(l) be the second derivative of l**3\/6 - 167*l. What is f(n(o))?\nAnswer: -12*o + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*l - 84*l + 2222 = -2243 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccfcf. What is prob of sequence cc?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 13?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2284, -2278, -2272, -2266, -2260, -2254?\nAnswer: -2248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, -0.03, -83058 in increasing order.\nAnswer: -83058, -3\/2, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, u: 1, z: 2, q: 1, e: 1}. Give prob of sequence uq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -2, 0, 206225, 1 in ascending order.\nAnswer: -5, -4, -2, 0, 1, 206225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3040053 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: Calculate the least common multiple of 483 and 42665.\nAnswer: 127995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2026509 to the nearest integer?\nAnswer: 1424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1464357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + -3 + 58 + 5 + -2. Let a = f + -53. Sort -3, -1, a in descending order.\nAnswer: a, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 369186.\nAnswer: 2, 3, 37, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -4*l - 128. Calculate k(-15).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -0.31715\nAnswer: 0.31715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 23176121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 1278.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -2*x - 6 + 5\/2*x**2. Let n be j(1). Let g(w) = -w**3 + 3*w**2 - 3*w + 3. What is g(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 2 + 2*(-4 + sqrt(200)) + (sqrt(400)*6 - sqrt(16))\/(sqrt(56)\/(2*sqrt(7) - sqrt(7))))**2.\nAnswer: -196*sqrt(2) + 4806","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k - 2. Let r be h(-4). Find the second derivative of -6 + 0 + r + 4*l**2 + l wrt l.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/5 in -48, 3, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 14. Let i = h - 6. Let v be i\/(9\/3 - 2). Solve -4*d - 8 = v, -5*d = 3*n - 2*n + 11 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, s: 1, b: 1, x: 1, c: 1}. What is prob of picking 1 b and 1 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -122022111?\nAnswer: 122022102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -27\/56?\nAnswer: -27\/56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/6689642 and 129\/160714570.\nAnswer: 6589297370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 518 - 497. What is the nearest to 0.1 in y, -9, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.426 not equal to -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (-9 - 4) + -1 + 87.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 3953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12888*t - 12888*t + 2 + 24*t**2 to f + n*t**2 + z*t and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105 and 1155?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 364425 divided by 3\nAnswer: 121475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9913.252 milligrams in grams?\nAnswer: 9.913252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(245)*2)\/sqrt(7))\/(sqrt(63)*1*-3).\nAnswer: -4*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -344*d + 332*d + 48 = 0. Suppose 0*p - 2\/11*p**2 - 32\/11*p**5 - 16\/11*p**3 + 0 - 40\/11*p**d = 0. Calculate p.\nAnswer: -1\/2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 936, 952, 982, 1032, 1108, 1216?\n\"Answer: x**3 + x**2 + 6*x + 928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1443, -0.5, 1 in descending order.\nAnswer: 1443, 1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2.3, 4, -2\/13, 1\/10, -2, -1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -313, -622, -921, -1204, -1465, -1698, -1897, -2056?\n\"Answer: i**3 - i**2 - 313*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -15a274074?\nAnswer: -15a27406a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 11*r + 11. Let m(o) = o**2 + 13*o - 10. What is -6*i(j) - 5*m(j)?\nAnswer: j**2 + j - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -33012, -66024, -99036, -132048, -165060?\n\"Answer: -33012*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/11883, -5, 3\/41, -0.5?\nAnswer: -4\/11883","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194902536.\nAnswer: 2, 3, 359, 22621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of p**6\/135 - 91*p**5\/45 + 178*p**4\/9 - 2120*p**3\/27 + 1408*p**2\/9 - 772*p - 1. Factor w(h).\nAnswer: 2*(h - 176)*(h - 2)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 154945 and 180481.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*t**2 - 15*t**2 + 7 + 16*t**2 + (-5 + 2 + 5)*(3 - 2*t**2 - 3) + 62*t**2 + 13*t**2 - 12*t**2.\nAnswer: 54*t**2 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*(-3)\/(-72) + (-10 - (-124)\/12). Which is the smallest value? (a) r (b) 2 (c) -3 (d) -5 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 5*n**5\/4 - 65*n**4\/4 + 305*n**3\/4 - 615*n**2\/4 + 225*n\/2 = 0.\nAnswer: 0, 2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 39b4c2 (base 14) in base 11?\nAnswer: 113a423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, m: 2, f: 4, y: 6, i: 3, o: 2}. Give prob of sequence ifm.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from eueuuuuuueu?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11131 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-12\/11)\/s**(-2)*(s\/(s*s**4\/s*s*s)*s)**38)**46 assuming s is positive.\nAnswer: s**(-76452\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(5\/6)*y)\/y**(1\/5)*y*y**(-1\/4)*y**7 assuming y is positive.\nAnswer: y**(563\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 - 1. Suppose 2*u + n = -4*u. Let w = 140 + -134. What is the second biggest value in -1, u, 0.5, w?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 45 + -40. Suppose 0 = -2*z - 3*z + b*u - 10, 0 = z - 4*u + 14. Suppose -z*r - 16 = 3*c - 6*r, 2*r = -c + 8. Solve 4*t + 0*t = c for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -200 - 0.00455962\nAnswer: -200.00455962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, 3, 2\/7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 93\/(-126) - 4\/(-7). Let i = 11 - 8. Which is the closest to o? (a) -5 (b) i (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 25 + 14 + 18*m**2.\nAnswer: 18*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(224\/(-12))*4\/6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1065 divided by -9?\nAnswer: -355\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c - 4. Let a(l) = 0 + 19307*l + 0 + 19303*l - 38601*l. What is t(a(p))?\nAnswer: -27*p - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.065 + -61.635. Let b = g + 58. Let i = -1.7 - b. What is the closest to -2 in -2, 0.2, i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/3*(-15)\/(-80)*12.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 11*p + 27. Let n be b(-2). Let r(s) = -2*s**2 + 13*s - 4. Let l be r(n). Solve -2*q + 10 = 2*t, -3*t = -5*q + 6 + l for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -752 - -752.0004674. Round p to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, o: 2, a: 2, p: 3, n: 3}. Give prob of sequence ppn.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 2*y**2\/7 + 197464*y\/7 + 4874003912\/7 = 0.\nAnswer: -49366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 5*d**2 + 6*d - 5. Let n be j(-6). Let f = 62\/87 + -4\/87. What is the third smallest value in -3, n, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 4*a - 4 = 0, -3*a = 6*f - 2*f - 3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 164 and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*b*d*n + 9*b*n**2 - 3*b*n - 1935*d*n**2 - n wrt d?\nAnswer: -4*b*n - 1935*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1892 + -1835. Which is smaller: 47 or j?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2*a = 4*c + 106, -3*c = -3*a - 303. Let w be (-3)\/(-15) - 911\/5. Let d = a - w. Is d a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 84 and 2247.\nAnswer: 8988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*j**2 - j**2 - 4*j**2)*(3 - 2 + 2)*(-3*j - j + 1 + 8*j) to the form b*j**3 + z*j**2 + f + l*j and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*z - 30943 - 2678 - 555. What is the greatest common divisor of z and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 31*a**2 + 27*a + 40. Suppose -q + 3*t = 4*q - 158, -2*q + 66 = -4*t. Is n(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 56*x - 55*x + 4*w + 15, -5 = w. Solve x*b + 3*o - 8 = 9*b, -2*b + 4*o - 14 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + ((-584)\/(-12) - 2\/3). Let p = 16 + o. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 13, o: 3}. What is prob of sequence oojj?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -638*o**2\/3 + 3184*o\/3 + 10.\nAnswer: -2*(o - 5)*(319*o + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 + -33. Let d(g) = -g**3 + g**2 + g + 9. Let w be d(m). Suppose v + 22 = 5*s, 0 = -5*s - 4*v + v + 34. Solve -4*h + h = -s*l - w, 5*l = 2*h - 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 299*q**5*v - 2046*q**3*t - 1189*q**2*t*v + q**2*t + 9*q**2*v - 2*q**2 - 9*q*t*v - q*t wrt q.\nAnswer: 17940*q**2*v - 12276*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20897.\nAnswer: 20897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 349 = 4*u, -2*u - i + 347 = 2*u. What are the prime factors of u?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*w = -69*w - 21. Let o(f) = -3*f + f**3 - 11 - 13*f + 26 - w + 12*f**2. What are the prime factors of o(-13)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, d: 4, a: 1, b: 4, q: 4, e: 1}. What is prob of sequence ba?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -115*t - 57472 + 239287. Calculate the remainder when t is divided by 167.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 25, 33, 45, 61, 81, 105, 133?\n\"Answer: 2*o**2 + 2*o + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24 or 376992\/14855?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.2 (b) -5 (c) 25 (d) -0.3 (e) -161 (f) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57242 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, k: 9}. Give prob of sequence rrk.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1443, -2886, -4329, -5772?\nAnswer: -7215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/9, -2, -0.35?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -6*s - s**3 - 18 + 11 + 11 - 8*s**2. Calculate b(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**3 - 53*i**2 + 293*i + 2580. Determine z(-30).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 299 and 0.4.\nAnswer: 119.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 108*d + 7 - 72 - 151. Sort 200, d, 16, -3 in decreasing order.\nAnswer: 200, 16, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 180, 3, -18, -5, -3, 5 in decreasing order.\nAnswer: 180, 5, 3, -3, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4277489 years in centuries?\nAnswer: 0.004277489","meta":{"dup_signals":{},"source":"measurement__conversion_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: What is the third derivative of 2725*u**2 + 34 - 34*u - 2738*u**2 + 2475*u**4 + 32*u wrt u?\nAnswer: 59400*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2\/15, -1, -0.4, -5 in ascending order.\nAnswer: -5, -1, -0.4, 2\/15, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(140)\/sqrt(7) - sqrt(5) - (sqrt(275)\/sqrt(5))\/sqrt(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122 (base 3) to base 13.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -0 + 43. List the prime factors of v.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*-1037.902.\nAnswer: -7265.314","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -35892, -3223?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-7)\/q)\/q)**(2\/3)*(q\/q**2)\/q**(15\/4) assuming q is positive.\nAnswer: q**(-43\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1045 a factor of 1769185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 23*g**2 - 79*g - 22. Let d be y(-26). Which is the nearest to 1? (a) d (b) 0.5 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o = -967 + 9450. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 5*s = 40, -2*p + s - 4*s + 19 = 0. Put -0.8, p, 0 in ascending order.\nAnswer: -0.8, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*5)\/(1114\/3342).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2663*z = -2909*z + 1099*z - 2404*z + 426374 for z.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 12*o + 2. Give l(13).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 756 and 50687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, 3, -1604, -2, 0.4 in descending order.\nAnswer: 3, 0.4, 0.02, -2, -1604","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 2\/5, -7\/9, -4 in descending order.\nAnswer: 0.5, 2\/5, -7\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 120 divided by 126\nAnswer: 20\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 102 - 102. Suppose k - 3*z = -k - 10, 0 = -5*k + 3*z - 7. Let f be k - 1\/(-1) - -1. Solve 3*r + f - 6 = a for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19171, -21634, -25741, -31492, -38887, -47926?\nAnswer: -58609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 7:42 AM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 235 and 188?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 m when two letters picked without replacement from immim?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 864349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 282*m**2*v**3 + m**2*v**2 - 8*m**2*v + 59*m*v**2 - 462*m - 2*v**3 wrt m.\nAnswer: 564*v**3 + 2*v**2 - 16*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.68023 weeks to days.\nAnswer: 172.76161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -85343*t - 94849?\nAnswer: -85343","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 15*z**2 - 28*z - 16. Let g be -17 - ((-4)\/3)\/((-48)\/18 + 3). What is c(g)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43 - -48. Let v(d) = -d**3 - d**2 - d. Let p(c) = -7*c**3 - 5*c**2 - 6*c + 1. Give q*v(w) - p(w).\nAnswer: 2*w**3 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 2*q + 108. Let f be o(-10). Let k be (f\/(-11))\/(-2) - 6\/(-11). Solve k = -j + j + 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -16*q + 1. Suppose 2*m + 3 = -3*k, -4*m + 0 = 3*k + 3. Let y be a(k). What is the greatest common factor of 153 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 greater than 28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + 5*x - 3. Let v be t(-5). Let h(o) = -o**2 - 4*o + 4. Let l(y) = 4*y**2 + 21*y - 21. Let r(k) = -11*h(k) - 2*l(k). Is r(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/2808 and -29\/4875624.\nAnswer: 14626872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1905.\nAnswer: 3, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a microgram in nanograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 10:59 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 7*l**2 - 88*l + 5. Let n(y) = 7*y**2 - 72*y + 4. Let w(s) = -5*n(s) + 4*u(s). Let f(k) = k**2. Calculate w(f(h)).\nAnswer: -7*h**4 + 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**2 - 1476*c - 16599 = 0. Calculate c.\nAnswer: -11, 503","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 20*s**3 + 24*s**2 + 6*s + 6. Let j(a) = 40*a**3 + 49*a**2 + 13*a + 13. Let w(x) = -6*j(x) + 13*v(x). What is the third derivative of w(b) wrt b?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2377100 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 20*g - 100. Does 35 divide y(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of 5*u**4\/12 - u**3\/2 + u**2 + 110*u + 2. Let q(r) = r**2. What is k(y) - 2*q(y)?\nAnswer: 3*y**2 - 3*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -420*f**2\/11 - 598*f\/11 - 178\/11.\nAnswer: -2*(f + 1)*(210*f + 89)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2319.2855801 - 2319.24. Let k = d + -5.0456361. Let v = k - -5. What is v rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h - 7. Let a be c(-6). Suppose 0 = -o - 3*t + 8, 3*t = -4*o + a*t + 102. Suppose 218 - 173 = 5*g. What is the remainder when o is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**5*y*y*y*y\/y**(-4))\/(y**4\/y**(-7)))\/((y**(-2\/15)\/y**(-1\/3))\/(y**(-2\/5))**(2\/45)) assuming y is positive.\nAnswer: y**(-1624\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -44\/69, -2, 3, -4\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5259689?\nAnswer: 5259689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -1986*p**2 + 3*p - 26. Let f(i) = -3971*i**2 + 7*i - 61. Determine 3*f(m) - 7*q(m).\nAnswer: 1989*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -701 + 944. Suppose -b = -5*a + 100, -8*a + 3*a + 3*b + 110 = 0. Suppose a = o - 8. What is the highest common divisor of l and o?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by 1593\nAnswer: -13\/1593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + (-9 - 28) + -5 - -38?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.881566 years to centuries.\nAnswer: 0.00881566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t - 4. Suppose 3*r + 14 = -b, 9 = -4*r - 3. What is k(b)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 4 + 1 + -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 16 = -3*n, 0*n + 2*g - 8 = -n. Let f = 0.8 - 3.8. Let p = f - -2.9. Which is the closest to p? (a) n (b) -1\/9 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/((-6)\/(-3))*-2. Let h be 4\/(-10)*(4 + -9). Suppose 0 = h*b - 0*b. Sort b, 3, s in ascending order.\nAnswer: b, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 37 = 45*w - 63*w. Solve 0 = -p + 3*f - 2, -w*p + 0*f = 3*f - 14 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -m**4\/16 - 511*m**3\/12 - 1019*m**2\/8 - 509*m\/4 + 2753. Factor n(f).\nAnswer: -(f + 1)**2*(f + 509)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -5*s - 22, m + 53 = 4*s + 67 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(12)*-2*1)\/sqrt(4).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 17988444, 71953765, 161895966, 287815047, 449711008, 647583849, 881433570?\n\"Answer: 17988440*u**2 + u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 14*r - 143. Let z be o(10). Sort 3, z, -329.\nAnswer: -329, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0 (b) 5 (c) -16\/5 (d) 3 (e) -2\/9 (f) -0.93 (g) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1475*c**3 + 348*c**3 - 854*c**3.\nAnswer: 969*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p - 5. Give h(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 256*b**4 - 305*b**2 wrt b.\nAnswer: 6144*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.76140617 to two decimal places.\nAnswer: -9.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 243 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16\/15 - -2\/3. Let x = 1684 + -1678. What is the nearest to x in r, 0.1, -10?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27233, 54434, 81631, 108824?\nAnswer: 136013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in -4, 4\/5, 1\/3, 3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12580, -12606, -12632, -12658?\nAnswer: -12684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 260897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 6:53 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**3 - 1419*x**2 + 3519*x - 29254. Calculate h(-712).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 47*g - 5278. Calculate the remainder when j(126) is divided by 200.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-530)\/45)\/((-178)\/(-801)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (178\/1958)\/(((-2)\/3)\/((-44)\/6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, -85, -193, -301, -409?\nAnswer: -517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + 4. Suppose 4*l = -34 + o. Let w(i) = i**3 + 6*i**2 - 3*i. List the prime factors of w(l).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -y + 120. Let t(x) = x**2 - 15*x + 82. What is the remainder when t(14) is divided by y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, w: 3, j: 4, k: 2, i: 2}. Give prob of picking 2 k and 1 w.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1528 times 2?\nAnswer: -3056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64, 171, 458, 1015, 1932, 3299?\nAnswer: 5206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.03 - 0.03. Let s = -2 + w. Let v(q) = -179*q - 1071. Let f be v(-6). Which is the third biggest value? (a) -45 (b) f (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n + 10. Let k(z) = 6*z**3 + z**2 - z + 1. Let m be k(1). Let y = -2 + m. Let f(c) = -2*c + 9. Let a(x) = y*l(x) - 6*f(x). Calculate a(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -2. Let z be (-290)\/(-35) + (-4)\/14. Suppose 0 = -5*y + 2 + z. Solve -2*t = y*t - 3*c + 7, -r*t - 19 = -5*c for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.045155 from -0.5.\nAnswer: -0.545155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 29*j + 81. Let b be n(-9). Let i = b - 229. Solve -4*m = 5*s + 11, -3*m - 14 + i = -5*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b + 2*v, -5*b + v = -2*b + 2*v - 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*w - 2*w**5 + 6*w + (2*w**3 - 4*w**3 + w**3)*(-5 + 5 + w**2))*(5 - 3 - 1)*(1 - 4 + 6).\nAnswer: -9*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nvnxnonovnvono. What is prob of picking 3 o and 1 n?\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98, 104, 122, 158, 218, 308, 434?\nAnswer: 602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 11*t**2 - 20*t + 6. Let j be x(-9). Let n = j - 24. Solve -4*i - v = 9, -2*i - 3*v - v - 22 = n for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - o + 16, -g + 14 = -5*o + 18. Let l(d) = 5*d**2 + 9*d + 3. Let m(x) = 6*x**2 + 11*x + 3. Let t(h) = -7*l(h) + 6*m(h). What is t(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five halves of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 134*s**6 + 334*s**5 + 2897*s**2 - 47*s + 1?\nAnswer: 16080*s**3 + 20040*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01888122 rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9 - -46?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1078 divided by 49.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 746575.\nAnswer: 5, 29863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (254*f + 337 - 337)*(0 - 3 + 7).\nAnswer: 1016*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 13*u**2 + 11*u + 62. Suppose -14*n + 154 = -3*n. What is the smallest common multiple of 30 and h(n)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**2 + 5*r + 2. Let p be n(-3). Suppose p*z - g = 4*g + 40, 4*g = -5*z + 4. Suppose -z*l + l = -117. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*h - 2*d, 4*h + 2*d - 13 = d. Solve -h*p + 3*q = 21, 0 = -6*p + 2*p - q - 8 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 10921, 5, -5, -2, 4 in decreasing order.\nAnswer: 10921, 5, 4, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of 1\/30*y**5 - 4 + 0*y - 2*y**2 + 0*y**3 + 0*y**4. Let i(b) be the first derivative of -b**3 + 1. Calculate m(i(r)).\nAnswer: 18*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 5 = 0, 3*g + 4*w = 323 + 41. Let f be (-28)\/g + 2\/6. Let n = 1 - 0.8. Which is the second smallest value? (a) f (b) n (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhzhzhzhhhhhzhhhhh. What is prob of picking 2 h and 2 z?\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -2231.54 to the nearest 100.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 9 = -3*j. Let q be -3*5\/(-495)*-6. What is the closest to 0.2 in 0.02, q, j?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mpmzp. Give prob of sequence zp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 7, 10, -2 in decreasing order.\nAnswer: 10, 7, 5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 226 = -5*q, q + 25 + 17 = 2*w. Let x = 50 - 76. Let c = x - q. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 69 and 2109.\nAnswer: 48507","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**2 + 3*b**2 + b**2)*(4*b - 2*b + 0*b) - b**2 + 2*b**3 + b**2 + b**3 + 4*b**3 - 3*b**3 + 43*b**3 - 21*b**3 - 34*b**3.\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55 and 5863627?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t + 9. Let u(y) = -y - 10. Let l(q) = -4*s(q) - 3*u(q). Let z(o) be the first derivative of l(o). Let w(d) = -2*d - 6. Calculate -w(b) + 5*z(b).\nAnswer: 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pnppzzznjznjjpjz. Give prob of picking 1 z and 1 j.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 10:37 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 14be54?\nAnswer: 14be59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -192 - -195. Solve -19 = -b + 3*x, 3*b = -x - 2*x - v for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 16*q - 21. Let y(v) = 3*v - 4. Determine 2*l(t) - 11*y(t).\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 6 = 30 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nine sixteenths of a millennium?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*m - 54*m - 5740 = 39*m + 56*m for m.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d. Let r(u) = -u**2 + 5*u - 34. Let o(n) = -n**2 + 7*n - 50. Let x(p) = 5*o(p) - 7*r(p). Give x(h(s)).\nAnswer: 2*s**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 + 14. Let i = 2.4 - -1.6. Let s be (8 - (-99)\/(-22))*10. Put j, i, s in ascending order.\nAnswer: j, i, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1d97 + -a5?\nAnswer: 1ce2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -6*o + 17*o**2 + o**3 - 3 - 5 + 2. Let b be w(-17). Suppose q = -3*q + b. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9525 or -9558?\nAnswer: -9525","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 82666+-74\nAnswer: 82592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1127704, 1127699, 1127692, 1127683?\n\"Answer: -f**2 - 2*f + 1127707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4099651?\nAnswer: 241, 17011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-24 - 114 - 16)*(4 - 2*d - 4) as y + k*d and give k.\nAnswer: 308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/((n**(-2\/31)\/n)\/n)))\/(n\/((n*n**2)\/n)))\/(n\/((n\/(n\/n**5))\/n)*(n\/(n\/n**8*n))\/n) assuming n is positive.\nAnswer: n**(-126\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/13 in 0, -860\/9, -4\/7, 1, 3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - c - 10. Let m be r(-3). Solve 3*x - v = 2, v - 2*v = -2*x + m for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 8. Let a = -0.33 + -30.67. Let f = a - -34. What is the biggest value in 3\/7, f, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -1037786.95.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0201 + 8994.31417?\nAnswer: 8994.29407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6722 - 13449 + 6727 - 2*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4*r = -9. Solve r*s = -0*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4.36, 4, 5, -2\/7, -1 in increasing order.\nAnswer: -1, -2\/7, 4, 4.36, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03 - -5234.\nAnswer: 5234.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*o - 65*o = -390 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1621816?\nAnswer: 2, 7, 28961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 4*d + 52 = -0*d, -3*d + 81 = -5*u. Let z = -20 - u. Let i(n) = -2 + 3*n - 4 - n**2 - 8*n - n. Determine i(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3989*o - 3976*o - 769093. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2. Let f(g) = 2128*g. Calculate f(o(y)).\nAnswer: 2128*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2028999, 2029002, 2029005, 2029008, 2029011?\nAnswer: 2029014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 502594366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/381)\/(((-2)\/(-3))\/((-30)\/315*14)).\nAnswer: -2\/127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 8 = -2. Let m be (4\/5)\/(t\/(-10)). Find the second derivative of 2*v**4 + v**m - v - 4*v**4 wrt v.\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of f**3 + 2274*f**2 + 1723692*f + 1733. Determine h, given that j(h) = 0.\nAnswer: -758","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of 3*h**3 - 4*h - 1863. Let b(y) = -2*y - 7. Determine b(z(n)).\nAnswer: -18*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -4, 475, -153?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.13? (a) -1\/2 (b) -4\/9 (c) 0.2 (d) 1\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -688, 1, -3, 44, 0 in ascending order.\nAnswer: -688, -3, 0, 1, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8472.523 minutes to seconds.\nAnswer: 508351.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12.9733 + 0.0833. Let y = -13 - d. Round y to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42790 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/4 (b) 0 (c) 67\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2582 is divided by 184?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 84.8 (b) 1284 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2 + 9*y. Let z be l(-4). Sort 5, 49, z, 4 in decreasing order.\nAnswer: 49, 5, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -4*z**4 - 1376*z**3 + 88068*z**2 - 1344224*z + 1257536 = 0?\nAnswer: -401, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) -49\/2287 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1033680, -1033655, -1033546, -1033311, -1032908, -1032295, -1031430, -1030271?\nAnswer: -1028776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 278*z + 2440. Let u be q(-7). What is the greatest common divisor of u and 342?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 12)*(-4 + z + 0 + z).\nAnswer: -26*z + 52","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/14832 and -59\/81?\nAnswer: 133488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4\/9 (b) 1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -47 + 65 + 1 + -11.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.4 - -0.6. Let w = a - -0.4. Let l = 3.93 + -4.13. Which is bigger: l or w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 25*((-9)\/15 + 1). Suppose p + 8 = v. Suppose -p = j - 2*j. Sort -3, j, 1.\nAnswer: -3, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 128 + -68. What is the remainder when l - (-2)\/5*(10 - 5) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/55 and 82\/75.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -1026*d + 1021*d + 74, 3*d = -3*u - 90 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 211 = -12*b + 187. Which is smaller: 36 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36851 = -3472*i - 134137 - 100618 for i.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 210, 88, -114, -396, -758?\n\"Answer: -40*u**2 - 2*u + 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 6*o - 47, 67*o - 62*o + 25 = -l for l.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 1\/3. Factor m*s**2 + 0*s - 1\/3.\nAnswer: (s - 1)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -68*p + 431*p + 103*p**3 + 841*p + 3*p**4 wrt p?\nAnswer: 36*p**2 + 618*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w**2. Let q be s(1). Let k(c) = 0*c**2 - c**2 + 5 - c + 6*c - 4. List the prime factors of k(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*r + 24*r - 3*z = 108, -5*r - 5*z + 240 = 0. Solve -20*l = -14*l + r for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 - 39 = 3*n - 2*s, -32*s = -160 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 15 = -6*o. Let q(h) = 11*h**2 - 8*h + 2. Let i(p) = 4*p**2 - 3*p + 1. Let r(g) = o*q(g) + 8*i(g). Find the first derivative of r(w) wrt w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4475 < 4480?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**6 - 5687*a**5*m**2 + 5*a**2*m**2 + a**2*m - 2*a*m**2 - 353*a wrt a.\nAnswer: -240*a**3 - 341220*a**2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -57 + 27 + 28 + 5*h**2 + 3*h - h**3 + 80*h**2 - 2*h**3 - 80*h**2 + (h + 3 - 3)*(3*h**2 + 2*h**2 - 7*h**2).\nAnswer: -5*h**3 + 5*h**2 + 3*h - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 581 at least 580?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i - 5. Let v(u) = u - 2. Let p(d) = 5*v(d) - 2*w(d). Let f(a) = -36 - 30 + 133 - 29 - 39. Calculate 3*f(k) - 2*p(k).\nAnswer: -2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, p: 2, s: 5, a: 1, u: 2, i: 1}. What is prob of picking 1 a and 1 u?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 0 = x + 2, -5*x = 4*g - 4. Is (2 - g)*(155 + 12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 4*k**3\/3 + 532*k**2 + 70756*k + 102. Factor o(w).\nAnswer: 4*(w + 133)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11067*i*u*w + 28*i*w**2 + 270*u*w**2 + 2*u*w - 3*u wrt w?\nAnswer: 56*i + 540*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 819, 1665, 2583, 3609, 4779, 6129?\n\"Answer: 6*h**3 + 804*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = f - 2*f. Let v = f + -3. Suppose -3*d = 5*x - 12, d = 3*d + v. Solve 5*c + 4*a - 36 = -7, -x*a = 4*c - 23 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3*f**2 + 3*f + 32. Let t(x) = -x**2 + x. What is -l(g) + 2*t(g)?\nAnswer: g**2 - g - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = w + 6. Let r(a) = 4*a**2 - 2*a - 4*a**2 + 4 - a**w. Let i(n) = -2*n**2 - 4*n + 7. Determine -4*i(s) + 7*r(s).\nAnswer: s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -754176 divided by 6\nAnswer: -125696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a millimeter in micrometers?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -4, -33, 0.5, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -282 + 285. Solve 13*o = 10*o + w for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 h when two letters picked without replacement from {l: 1, c: 1, h: 2, q: 1, y: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28371*o**2*v**4 - 6261639*o**2*v**2 + 184*o*v**4 + v**2 wrt v?\nAnswer: 680904*o**2*v + 4416*o*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 6 = 3*f, 0 = -5*f + 4 + 6. Let g = 3 + u. Let w be (2 + g + -1)\/(-1). Solve w*m - 3*m + 15 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9703 + 714*r**2 + 1236*r**2 - 9703.\nAnswer: 1950*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 908692792 to the nearest integer?\nAnswer: 969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-713*n - 1583*n - 14*n - 170*n)*(2 - 4 + 0).\nAnswer: 4960*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 354*n + 359*n + 45 = 0, 0 = -v + 3*n + 13 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**2\/2 + 185*l + 369\/2 = 0. Calculate l.\nAnswer: -369, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4734717 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.36, -1\/20, 5\/13, 0.5?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 233892 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 15 - 0. Suppose -l*b - 3*u = -806, -2*b + 3*u + 335 = -0*u. Let p = b + -91. Is 24 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a + a - g + 10, -4*g - 20 = 0. Solve 0*w = -a*w + 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + -2 - (-2 - 1). Let b(t) = -t + 5. Let n be b(5). Suppose -k - 2*o - h + 0 = n, -5*o + 5 = 0. Put 1, -1, k in descending order.\nAnswer: 1, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, 0.3, -8773, 1.15 in decreasing order.\nAnswer: 1.15, 0.3, 0.03, -8773","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005725 to 7 decimal places.\nAnswer: 0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 675.3 - 117.3. Let t = o - 563.94. What is t rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 8*b**3 + 48*b**2 - 13*b - 48. Let r(t) = -44*t**3 - 264*t**2 + 72*t + 264. Suppose -7*p + 14 - 49 = 0. Let m(a) = p*r(a) - 28*w(a). Factor m(j).\nAnswer: -4*(j - 1)*(j + 1)*(j + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i. Let d(z) = -z. Let s(w) = 5*d(w) + p(w). Let r(l) be the second derivative of 0*l**2 + 0 + 3*l + 5\/6*l**3. Calculate r(s(y)).\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -3) + -1 + -6 - 4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (640\/6)\/(-4)*-21 + 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -50 - -44. Let k = w - -8. Sort -0.5, -0.2, -19, k in descending order.\nAnswer: k, -0.2, -0.5, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -72313 + 72313 + 6*j**2 - j**3.\nAnswer: -j**2*(j - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in -22\/461, 3, -4, -21, 0.2?\nAnswer: -22\/461","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 4 = -2*f. Find the second derivative of 2*k - 15*k**f - 9*k + 22*k**4 wrt k.\nAnswer: 84*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 180\/(-54)*(-132)\/55?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (84 - 12)\/(-4) + (-7380)\/(-405)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-3*-1*sqrt(147)*-1 + (3*-2*(sqrt(147) + sqrt(147) + 2 + 5 - sqrt(147)))**2 + 2.\nAnswer: 3633*sqrt(3) + 7058","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2*a, -4*h = -0*h - 4*a. List the prime factors of (-2 + -5)*(-1 + h).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {g: 12, a: 6}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m**3 + 2 - 2)*(17*m - 121*m + 60*m)*(-6 - 4 + 7) to h*m**4 + l*m**2 + a + b*m + k*m**3 and give h.\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.0459*296240\nAnswer: -13597.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3*k - 1)*(383 + 4*k - 2*k**3 - 383 + k**2) to the form o*k**3 + f*k**4 + l*k + i*k**2 + v and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**31*c)*c*c**2*c)**(1\/8) assuming c is positive.\nAnswer: c**(-27\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 11:33 AM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43409 is divided by 31?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/3127592 and -57\/16588?\nAnswer: 34403512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 5 - (7 + -2 - 3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -817 + 817 - 5*z.\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 181, -7, -195, -383, -571, -759?\nAnswer: -947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1459644 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 854*b = 855*b - 60. Let r be 16\/(-2) + (b - 48). Put -9, r, -4 in ascending order.\nAnswer: -9, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011010110011010 + 10?\nAnswer: 1011010110011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -1\/6*n**3 + 0*n**2 - 2*n + 0. Let w(x) = -10*x. Give w(u(j)).\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 - -36. Suppose -8 = 2*t - i, -g*i - 5 = 3*t - 0*i. Does -10\/3 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of a**5\/30 + a**4\/12 - 4*a**3 - 2419*a**2. Let r(d) = 0. What is d?\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**3 + 3*w**3 - 7883603*w + 7883603*w.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - (-402)\/9)*18. Suppose i + 416 = 8*t. Calculate the remainder when t is divided by 31.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 7*f**2 - 6*f - 7. Suppose -2 = -2*a + 2. Suppose t - 11 = a*n, -2*n + n = -t + 8. Is b(t) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t = 2*j - 37, -j + 2*j - 4*t = 21 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 10. Let d(l) = -l**2 - 9*l - 11. Let p be d(c). Suppose 5*m - h = -p*h + 269, 125 = 2*m - 5*h. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 14*j**3 + 5*j + 3. Let o(g) = 29*g**3 + 9*g + 5. Calculate -5*f(r) + 3*o(r).\nAnswer: 17*r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 14 = 14. Let o be 50\/a - (-20)\/(-35). Solve -15 = 5*p, -7*j - 5*p + 1 = -o*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*d**4*t**2 - 7464217*d*t**2 - 678564184*t**2 with respect to d.\nAnswer: -24*d**3*t**2 - 7464217*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -94494.56 to the nearest one thousand.\nAnswer: -94000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a hour in minutes?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -2)\/8*-3. Suppose -m + 5*b = -6*m + 45, -b = 4*m - 21. Let c = -5 + m. Which is smaller: z or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 616 greater than or equal to 598?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 96821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1963, 2977, 4801, 7441, 10903, 15193, 20317, 26281?\nAnswer: 33091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*4\/20*5\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3 + -2*(4*(sqrt(448)*3 + -5) + -4).\nAnswer: -192*sqrt(7) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15103 or -15100?\nAnswer: -15103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22860, 23648, 25782, 29934, 36776, 46980, 61218?\nAnswer: 80162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54271 (base 10) to base 2.\nAnswer: -1101001111111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6 + (-1 - -1))*-2. Let g = 49 + p. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m = 12*m - 4*j - 364, -2*m + 3*j = -753. What is the remainder when m is divided by 96?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seven quarters of a millennium?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -43745546 rounded to the nearest 10000?\nAnswer: -43750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 317.4?\nAnswer: -952.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**2. Suppose 5 = 4*h - v, -3*v + 6 = -4*h + 5. Let d(p) = 21*p - p**h - 21*p. Give d(j(z)).\nAnswer: -4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/4 - 1381*q**2\/4 + 476099*q\/4 + 477481\/4.\nAnswer: (q - 691)**2*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 89, 380, 859, 1526, 2381, 3424, 4655?\nAnswer: 6074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 325 = 305 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22711\/280 + 353\/40. Let u = w - -72. Let q(r) = r + 5. Let h be q(-4). Which is the closest to h? (a) -0.1 (b) u (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -3*b**2\/4 + 22863*b\/4 + 17154 = 0.\nAnswer: -3, 7624","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -4*t**5\/3 + 8774*t**4\/9 - 1617512*t**3\/9 + 4959166*t**2\/9 + 13757744*t\/9 + 1324960\/3 = 0.\nAnswer: -3\/2, -1\/3, 5, 364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**5 + 28*y**3 - 28*y**3)*(328 - 550 - 598).\nAnswer: -3280*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.57655 + -2.58. What is v rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -19, -2, 30.\nAnswer: -19, -2, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -506, -3, 57 in ascending order.\nAnswer: -506, -3, 1, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 47974394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118454 divided by -59227.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1608 = 4*u + 832. Let s = u - -626. Solve v - 3*g = -14, 4 - s = 3*v + g for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 44 = 3*p, -4*j + p = -2*p - 191. Let x be (8\/70)\/(j\/329). Factor x*a**3 + 0*a + 8\/5*a**2 + 0.\nAnswer: 4*a**2*(a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-74 + 7059*d - 93 - 7061*d)*(-5 + 99 + 273) as g*d + w and give g.\nAnswer: -734","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8802708 to the power of 1\/3, to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 112.9133549 to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/5000 and -52\/9.\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 6) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - r - 2*a - 75, 4*a + 219 = 3*r. What are the prime factors of r?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 5*w**2 + 2*w - 1. Let s be m(4). Let l(r) = r**3 + 9*r**2 + 2*r + 18. Let v be l(s). Solve 5*a + 8 - 3 = v for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14928088 divided by -8\nAnswer: 1866011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/204*-32)\/(-1*2\/6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -356, -355, -354, -353, -352?\nAnswer: -351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + 4*b - 4. Let w be a(-4). Let o = w + 12. What is the smallest common multiple of o and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + (sqrt(44)\/sqrt(2))\/sqrt(11) - sqrt(2))*1 + 5 + (-2*sqrt(242))**2.\nAnswer: sqrt(2) + 973","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -206*x + 105*x - 69 + 96*x. Let h be t(-14). Solve -4*o - 3*d - 23 = 0, -4*o = -2*o - d - h for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 + -38. Let q = g - -21. Solve 15 = q*b + 5 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 5*x**2 + 7*x - 4. Let f be h(6). Let o(i) = 3*i**2 - 6*i**f + i**2. Let k(m) = -18*m**2. What is o(k(w))?\nAnswer: -648*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -3763?\nAnswer: -18815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 + 7 + 9)*(0*m - m + 2*m) to q*m + v and give q.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-7)*h\/h**(2\/5))**(-1\/32) assuming h is positive.\nAnswer: h**(-43\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5139 and 85197.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 5*l - 88. List the prime factors of l.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-1*sqrt(1728) - sqrt(1728)) + -2*sqrt(2187))\/(sqrt(99)\/(sqrt(891) - (sqrt(891) - (2*sqrt(891) + sqrt(891)) - sqrt(891)))).\nAnswer: -1224*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - 5*u**2 - 5*u + 2. Let c(b) = -b**2 + 9*b - 1. Let l be c(9). Let s be l\/3*(6 - -6). What is v(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2648 = 6*c + 476. What is the second derivative of -1 + 1 + 11*w**4 + 351*w - c*w wrt w?\nAnswer: 132*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5 = -5*b - 5*q, 0 = 4*b - q - 5. Sort 6, -1, b in decreasing order.\nAnswer: 6, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-1*sqrt(117) + sqrt(117) - sqrt(117))\/((sqrt(27)*2 + sqrt(27))\/sqrt(3)))**2.\nAnswer: 325\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -17644*u + 17607. Give p(1).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4730 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -320 - -13320?\nAnswer: 13000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-18)\/(-8) + 3\/(-12). Solve y - 6 = -4*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -7*i + 55*i - 17*i + 3*i. Let v(u) = -u. Calculate o(v(a)).\nAnswer: -34*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*n + 39848 + 33456 = -3*n. List the prime factors of n.\nAnswer: 2, 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 33*j - 29*j - 5137, -2567 = -2*j - 3*n. Calculate the highest common factor of j and 224.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(6\/(-51)))\/1. Let c = -5 - s. Suppose -2*v - 2*v = 4*z - 428, -v + 105 = 3*z. What is the greatest common divisor of c and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/26205386 and 13\/2290?\nAnswer: 131026930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4434 - 1?\nAnswer: 4433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) -2\/119 (c) -4\/33 (d) -0.1 (e) 1\/15 (f) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i - 3. Let p(a) = -a**2 - a - 1. Let k(d) = -b(d) + 3*p(d). Factor k(m).\nAnswer: -m*(3*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 7:05 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14141 (base 6) to base 7.\nAnswer: 6322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**4 - 3*k**4 + 0*k**4)*(-7 - 4 + 4) - 62*k**2 + 62*k**2 - 159*k**4.\nAnswer: -145*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-29)\/((-2175)\/(-590)) - -4. Which is the second biggest value? (a) -2\/17 (b) q (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of 3*u**3\/2 + u**2\/2 - 2*u. Let p = 30063 + -30066. Calculate n(p).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4*z + 2. Suppose 5*j = 5*y - y + 1, 2*y = 2. Does 6 divide c(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10278 to the power of 1\/2, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -40 + 168 + -1 + -175\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 2. Suppose 2*q + 224 = 5*d, 2*d = d + 4*q + 52. Let i be (-8)\/d + (-84)\/22. Put z, i, -3 in descending order.\nAnswer: -3, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-16)\/60)\/((-4)\/(-20)) - (-30)\/9. Sort -1\/4, j, -32\/7.\nAnswer: -32\/7, -1\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l. Let d be y(4). Let a be 2*(-5)\/d*-2. Let v be 30\/(-4)*-4*(-3)\/(-18). Put 2, a, v in descending order.\nAnswer: v, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 3*l - 191 = -12, -4*w + 3*l + 127 = 0. Is w a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 5*k = 3*k. Suppose k = -3*j - 0*f + f + 4, 12 = 3*j - 3*f. Suppose v - 9 = -j*v. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1200 (base 11) to base 7\nAnswer: -4405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-74 - 6*a + 74)*(-6*a + 3*a + 2*a + (a + 3*a - 5*a)*(3 + 1 + 1)).\nAnswer: 36*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 4*q - 2, y - 2*q + 5*q = 0. Let u be (-4149)\/(-13) + y\/39. Suppose b + u + 67 = 3*z, -5*z + 655 = -4*b. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -63*p**2. Let o(n) = 438*n**2. What is o(d(w))?\nAnswer: 1738422*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 3849050\/1035 + 30\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*r = -11134 + 10868 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 1124606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45397924, -45397923, -45397922, -45397921, -45397920, -45397919?\nAnswer: -45397918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 320\/70 - (-2 + 1 + (-33)\/(-21)). Solve 2*l = -3*h + 4*l - 23, -5*l = u*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/8 and 45\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 5*w - 15 = 0, 0*j - j + 2*w = -6. What is the units digit of 7 + -9 + j + 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -27 and 126.\nAnswer: -3402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*p = 5770 - 5088 for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, k: 1, n: 1, a: 9, e: 5}. What is prob of picking 1 e and 1 k?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*l - 22. Solve -l = -3*f + 1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 170*q + 21*q**2 - 343*q - 22*q**2 - 341*q**3 + 170*q to n + h*q**2 + z*q + a*q**3 and give a.\nAnswer: -341","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -h**6\/12 - h**5\/30 + h**4\/24 + 2*h**3\/3 + 2*h**2. Let g be u(-3). Suppose -5*d = -4*d - g. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1277.\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 31, -5, -305?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*g - 12 + 550 = -722 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 8) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -72496\/2117 at least as big as -33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-324)\/(-459))\/(15 - (-39432)\/(-2635)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 less than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**3 - y**2 + 9*y - 5. Let c(k) be the third derivative of k**6\/120 + k**4\/6 - k**3\/3 - 68*k**2. Suppose -2 = 5*r + 8. Give r*v(t) + 5*c(t).\nAnswer: t**3 + 2*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -9. Solve -q*k + 10 = -8*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -52 (b) 0.2 (c) -2 (d) -0.44 (e) -18\/13 (f) 0.21\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.01 (b) -5 (c) 3\/2 (d) -2\/5 (e) -4.53 (f) -0.035 (g) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) -1 (c) 9.827 (d) -0.4 (e) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t - 232 + 21 = 61 for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1085 + 1085.1. Let x = -6.5 + 7. Which is the nearest to 1? (a) x (b) 0.3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(864) + sqrt(864)*-3 - sqrt(864))*-2)\/((sqrt(12) + (sqrt(72)\/sqrt(6) - sqrt(12))*6)*-5))**2.\nAnswer: 2592\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9301, -9397, -9513, -9649, -9805, -9981?\nAnswer: -10177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**2 + 6*v + 6. Let w(h) = 11 + 9*h + 7*h - 5*h + 4*h**2. Let p be -3*((-20)\/(-6) - 3). Let u be p*-2*(-11)\/2. Calculate u*a(m) + 6*w(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l = -2*l - 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 1\/5 (b) 1 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 1:09 AM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -941734 divided by -10?\nAnswer: 470867\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2567, -4761, -6565, -7955, -8907, -9397, -9401, -8895?\nAnswer: -7855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8338900 to the power of 1\/3, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 132308?\nAnswer: 13230b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 13*y**2 - 23*y + 32. Let h be o(-10). What is the highest common divisor of h and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1689564?\nAnswer: 2, 3, 140797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**4 - 5*c**3 - 30*c**2.\nAnswer: 5*c**2*(c - 3)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -242*h**4 + 1950212*h**3 - 3919289626*h**2 - 39370563992*h - 35449323912 = 0. Calculate h.\nAnswer: -9, -1, 44378\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 10*i + 0 - 6 - 328*i as h + d*i and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 315 and 35?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 338640137 divided by -4?\nAnswer: -338640137\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72002*s + 0 + 72002*s + 0 - 144011*s.\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((18\/8)\/(3\/(-2))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 310 + 2*k - 323 - k. Suppose -6*h = -19 - 23. Determine d(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -22aa797 + 9?\nAnswer: -22aa78a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in -14, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4290.056 weeks to microseconds.\nAnswer: 2594625868800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**2. Let t(x) = 647*x + 141040. Determine t(m(q)).\nAnswer: 1294*q**2 + 141040","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00831090421 to six dps.\nAnswer: -0.008311","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 79*j**4\/8 - 138*j**3 + 999*j**2\/8 + 13*j\/4 = 0.\nAnswer: -2\/79, 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -35 times -1689\nAnswer: 59115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 5*d**4 + 10645*d**3 - 203585*d**2 + 1019915*d - 826980 = 0.\nAnswer: -2148, 1, 7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*h. Let g(m) = 2*m**2 - 2. Let j be g(2). Let f(i) = i + j + 0 - 2. What is f(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1245)\/(-36) - 2\/8 - 34\/102. Solve 13*b + q = 21 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20289525?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -h**3 - 32811*h**2\/2 + 196974*h - 591030 = 0?\nAnswer: -32835\/2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -433, -873, -1313, -1753, -2193, -2633?\nAnswer: -3073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*o + 43*o - 11*o - 10*o - 12*o.\nAnswer: -11*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d*d**(1\/8))*d)\/d**19)\/(d**(-21))**(10\/3))**3 assuming d is positive.\nAnswer: d**(1245\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 o when two letters picked without replacement from peo?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -173*a - 4. Let g(z) = -166425*z - 3850. Determine -2*g(w) + 1925*h(w).\nAnswer: -175*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/4 and -47\/2452.\nAnswer: 2452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 47, 59, 77, 101?\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -125, -262, -399, -536?\nAnswer: -673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jngbf. What is prob of picking 1 j and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 366564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1105996 is divided by 10843?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**2 + 143 - 6*k + 9*k - 5*k.\nAnswer: -2*k**2 - 2*k + 143","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 6*h + 49. Suppose 4*d + 3*v = 104, 6*d - 5*v - 49 = 3*d. What is the tens digit of z(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 5 + 5 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-4)\/40*24)\/(2\/(-1005))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 574 and 113374020.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(825) - 2*2*sqrt(825)) + sqrt(825)*1*5)\/(sqrt(99)\/(1*sqrt(9)) + sqrt(11) + sqrt(99)\/(sqrt(27)\/sqrt(3)))*4.\nAnswer: 40*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 1aa03?\nAnswer: -1aa06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 3\/10 (b) 1\/4 (c) 1\/12 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14002811 is divided by 3500701.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*j + 490*m + 48 = 488*m, m - 16 = 8*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h. Let p(t) = -6*t - 5. Let v(k) = p(k) + 5*u(k). Determine v(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 - -21. Let i(x) = 3*x**2 + 14*x - 8. Let w be i(g). What is the second biggest value in 0, w, 2\/9, 1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 60 (b) 3 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 15\/(-9))*-3. Suppose h*c + 115 = 3*c - 5*w, 0 = c - 5*w - 7. Let p be 12\/c*6\/(-2). Solve -20 = 3*a + p*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*c**4 - 5*c + 505 - 170 - 166 wrt c?\nAnswer: 12*c**3 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2824 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -r**5\/60 + r**4\/24 + r**3\/6 + r**2. Let j be h(1). Let n = j + 4. 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 units digit of ((10 - 54)\/4 + -307)*134\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -416108216 divided by -2811542.\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 150 and 66.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 + 57. Let r = -17 + k. Suppose 2*g - r - 12 = 0. Is g a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -13. What is the smallest common multiple of n and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -5*c - 70. Let f be r(-14). Suppose f = 4*x - 13*x - 5580. What is x rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v + 8*v + 2*v**2 - 5*v - 2*v - 3*v**3 as z + y*v + p*v**3 + x*v**2 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 118 - 49. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 + 3*n. Let m be g(-2). Suppose -3*h - j + 20 = 0, -2*h = m*j + 2*j - 30. Let t(a) = a - 2. What is t(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2 - -1)\/((-1)\/117) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/2796 and 57\/4?\nAnswer: 2796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.264 and 1663?\nAnswer: 439.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 644134 is divided by 174.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -26*x**3 - 8*x**2 + x - 41. Let d(a) = 5*a**3 + a**2 + 1. Calculate -5*d(l) - g(l).\nAnswer: l**3 + 3*l**2 - l + 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*((-33)\/(-22))\/1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -12d9be?\nAnswer: -12d9bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 7.12. Let d = i - 50.88. Let l = d - -51.0073. Round l to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6816247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17.0751601 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 22\/20*670\/12. Let x = 61 - y. Calculate the common denominator of x and (-82)\/(-28) - 10\/(-5).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1820100 to the nearest one hundred thousand.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + 2)\/(3\/(-21)). What is the smallest common multiple of 0 - 7\/(h\/(-6)) and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -424946 (base 11) to base 15.\nAnswer: -d66ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 444 divide 51948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i**2 - 4*i + 2. Let a be (-35)\/(-15)*(2 - -1). Let p(w) = 9*w**2 - 12*w + 5. Let f(v) = a*l(v) - 2*p(v). List the prime factors of f(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-2\/79)*a)\/a)**(2\/53) assuming a is positive.\nAnswer: a**(154\/4187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2399750630 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 487741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 4*c + 8 = 0, 5*m - 5*c = -292 + 307 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-4 + 96120\/24028) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 1137884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*w - 285 = 102*w - 160*w + 2*g, 0 = -3*w + 2*g - 155 for w.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 4*j**2 - 17. Let z be m(0). Let n(q) = 3*q**2 + 5*q + 18. What is the units digit of n(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6*(-9)\/(-8))\/(2619435\/(-349258))\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45760 and 2731300?\nAnswer: 2860","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jhzjhjzrr. Give prob of sequence rzz.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1257903?\nAnswer: 3, 46589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84438 + 99084 = -3776*s - 1306*s - 60414 for s.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2633798 + 0.078.\nAnswer: 0.3413798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -9 and 87 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (3 - 6) - 3 - -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -174 - -411. Let b = -92 + q. Let x = -72 - -101. Calculate the highest common divisor of x and b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1249206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 + f**4 - f**2)*(1 - 5 + 3) + (-112 + 112 - 84*f**3)*(4*f - 2*f - 3*f).\nAnswer: 83*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 108\/45*150\/90.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7831 and -29952.\nAnswer: -22121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1010 - 10202200100010022?\nAnswer: -10202200100002012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2607*a**2*z**3 + 384*a**2*z**2 + 14*a**2*z + 18*a*z**3 - 997*a*z**2 - 25*z**3 wrt z?\nAnswer: -15642*a**2 + 108*a - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25ef0 (base 16) in base 7?\nAnswer: 1214664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6\/11 - 552\/77. Find the common denominator of 93\/2 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-4)*(-5 + -11)\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f**2 + 2*f**3 + 2*f**3 + 1 - 3*f - 5*f**3. Let i(a) = -a**3 + 4*a**2 - 4*a + 1. Suppose -5*y + 12 = -y. Give y*i(p) - 4*l(p).\nAnswer: p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 8. Suppose -2*b + 5*g = 2*g - 13, -g - m = -3*b. Is 3\/b*(-88)\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i - 8. Let n(p) = p - 1. Give -5*n(r) + z(r).\nAnswer: -4*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 79119 or 79124?\nAnswer: 79119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s**2 + 2. Let p = -15 - -12. Let u be p\/4*(-32)\/1. Suppose 4*q = -2*r - u, 2*q - r + 5 + 7 = 0. Let o(m) = 16*m**2 + 11. What is q*o(b) + 33*f(b)?\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 divided by 18326.\nAnswer: -36\/9163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 20330784000 to the nearest one million.\nAnswer: 20331000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 11. Let y = 11 - 15. Sort c, -3, y in increasing order.\nAnswer: c, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2407212 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (274\/(-8))\/(90\/24 + -4). Let b = -129 + z. Solve -2*q - b - 2 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/1996 and -13\/15736.\nAnswer: 7852264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1883963 to the power of 1\/2, to the nearest integer?\nAnswer: 1373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 7*b**2. Let k(l) be the third derivative of -l**5\/20 + 14*l**3 + 131*l**2. Calculate k(v(p)).\nAnswer: -147*p**4 + 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.228904 rounded to zero decimal places?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-4*(2 + (4 + 5*((sqrt(125)*2 - sqrt(125)) + sqrt(125)))**2*-1).\nAnswer: -200224 - 6400*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of -p**4\/3 + 1164*p**3 - 1524258*p**2 + 887118156*p + 1356. Determine v so that t(v) = 0.\nAnswer: 873","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 293 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110110100111 (base 2) to base 9.\nAnswer: -4713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 116483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -5*h**3\/12 - 75*h**2\/4 - 1125*h\/4 - 57. Determine d, given that l(d) = 0.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-7)\/z)**(-2\/3))**(-12\/11) assuming z is positive.\nAnswer: z**(-56\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.20502 take away -0.01745?\nAnswer: -0.18757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - -18. List the prime factors of h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -m - 16, -3*m + m = -3*c + 24. Let x be 31\/c + 5\/40. Solve 7*i - 9 = x*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**2\/5 - 32624*f + 978648\/5 = 0. What is f?\nAnswer: 6, 81554","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnp when three letters picked without replacement from xnxnpxnxpccpxcnxxxxn?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -168 + 168.00803. Round a to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u + 1. Suppose 4*r - 89 = j, 0 = -4*r - 2*j + 92 + 6. Suppose i - 2*o = -14, -5*i + 8 - r = o. Let h = -5 - i. Give w(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four ninths of a week in minutes?\nAnswer: 38080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199963.\nAnswer: 359, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 13*i + 294. Determine m(-21).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1402, 2798, 4190, 5578, 6962, 8342, 9718?\n\"Answer: -2*b**2 + 1402*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 12)\/(-11 - -21 - 16 - -5). Solve w*s - 12 - 65 = 0 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29324?\nAnswer: 2, 7331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17 and 38?\nAnswer: -646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1256176064 and 4?\nAnswer: 1256176068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -281*i - 3257 + 261 = 5153 for i.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 15) in base 10?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2840 - 2837. Which is the nearest to 2\/35? (a) -2 (b) j (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 1. Let x(j) = -39*j**2 - 2*j + 4. Give -4*u(a) + x(a).\nAnswer: -39*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4*j. Suppose -b - 4 + 2 = 0. Let g = b + -17. Let o = g - -16. Give f(o).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/36075 and -29\/9620?\nAnswer: 144300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14687\/3650 + 193\/73. Let k = -278\/19 + 2329\/228. What is the common denominator of o and k?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ubb when three letters picked without replacement from {u: 13, b: 6}.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14124275703*x + x**2 - 14124275703*x.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13552994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*x - 16023 + 70203. List the prime factors of x.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15621742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13691?\nAnswer: 13691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 + 39. Calculate the greatest common factor of 30 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3}. Give prob of picking 2 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 9*a - 15 = 4*a, -5*x = -2*a + 6. Let w be (-1 - (-2 + x))\/(-3). Let d be (-20)\/21 + 4\/14. Sort w, d, -1.\nAnswer: -1, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - -5) + (0 + 5 - 4). Suppose -6 + 34 = q*y. Solve d + 3 = -p + y, d + 3*p = -3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 12 = 2*h, 3*f = 13*h - 18*h - 6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**2\/2 - 339*m\/2 + 5421 = 0. Calculate m.\nAnswer: -139, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23832 - 23832.046076. Let y = c + 0.046. What is y rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128)*1)**2 + -4.\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/7)\/(k\/(k**(-16)\/k)))**44*((k*k**(-2\/13)*k)\/(((k**3\/k)\/k)\/k))\/(k**0\/(k\/k**9)) assuming k is positive.\nAnswer: k**(-72060\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2008 = 10*y + 4302. Let j = 85 - y. What are the prime factors of j?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (1 + -2) - (-33 - (-21 - 15)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1099565475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.163016524 rounded to 5 decimal places?\nAnswer: -0.16302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 9, -11, -1, 8, 3.\nAnswer: -11, -1, 1, 3, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j. Let h(b) = -223*b. What is h(r(t))?\nAnswer: 446*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 63*p + 115*p - 4*p - 22*p as c*p + j and give c.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2382*u + 97. Is 119 a factor of n(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2073994313 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2 = -d. Let l = 0 - 1. Let k(v) = 1. Let c(w) = 2*w**3 + 2*w**2 - 1. Let p(t) = d*c(t) + l*k(t). What is the third derivative of p(g) wrt g?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/(-37037)*14*(-22 - -24))\/(6\/(-11)).\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f + 4*s - 18, 360*s + 12 = 363*s for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oosoomsomm. Give prob of sequence omm.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 6*k**3 - 2*k**2 - 3*k. Let c be j(-2). Let w be (1 - 54\/(-10)) + 20\/c. Find the third derivative of -3*d**2 + 93*d**w - d**2 - 78*d**6 wrt d.\nAnswer: 1800*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 325 - 604136*k**2 + 604136*k**2 + 2*k**3.\nAnswer: 2*k**3 + 325","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 2. What is the nearest to 1\/4 in h, 2\/15, 0?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22*a - 20*a + 3*a**2 + 41*a)*(-39 + 152*a - 34 + 73) to the form k*a + x*a**2 + i + j*a**3 and give x.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/15))**(-50))**(1\/6) assuming x is positive.\nAnswer: x**(10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 - 363 - 333 + 397)*(-4*o**2 - o**4 + 4*o**2) in the form x*o + v + f*o**4 + k*o**3 + g*o**2 and give f.\nAnswer: 309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -4*z - 2. Let v(p) = 9*p + 5. Let f(n) = 5*t(n) + 2*v(n). Let y(l) = -244 - 9*l**2 + 244. Give f(y(r)).\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*j**4*w**3 + 3699*j**4 + 17*w**3 - 727*w with respect to j.\nAnswer: -8*j**3*w**3 + 14796*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1115415 times 1\nAnswer: 1115415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 104 = 3*s. Let b = s + 36. What is the remainder when b is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**3\/h*(h**(-2\/3)*h)\/h*(h**1)**(-2\/27) assuming h is positive.\nAnswer: h**(34\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 82 - 79. Suppose x*l - 248 = -5*i, 4*i = -0*l + 5*l + 228. Suppose 12*o = -o + i. Solve -3*w - k + 1 = 3*k, k + 3 = -o*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of z**6\/60 + 9*z**5\/20 + 35*z**4\/24 - 4*z**3\/3 - 11997*z**2. What is r(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o + 12*o = 242. Solve -2*t = 4*n + n - 11, -o = -n + 4*t for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 19*p - 3. What is the tens digit of s(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(300)\/(sqrt(36)\/sqrt(6) + sqrt(6)))\/(sqrt(1000)\/sqrt(4)).\nAnswer: 3*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*r - 34*r = -12. Suppose -3*h - 3*y = 345, 0 = -5*h - 7*y + r*y - 577. Let n = 165 + h. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/49, 0.2, 0, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.176 + -0.176. What is the third smallest value in -0.006, z, -5\/6?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of 72*z + 0*z**4 - 47\/6*z**3 + 0*z**5 + 0 + 4\/3*z**6 + 0*z**2. Find the second derivative of t(g) wrt g.\nAnswer: 480*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11.7 - 10.7. What is the nearest to x in -2\/11, -2, 5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/132 and 93\/20.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2510615391 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44.9 - -45.68. Round g to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 to the power of 1\/7, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a - 16*a = -486. Let q = a + -91. List the prime factors of q.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/((sqrt(88) + 2*sqrt(88))\/sqrt(8)) + -5*sqrt(252)*-2 + 5 + 3.\nAnswer: 8 + 181*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 622782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -j**6\/120 - 3*j**5\/40 - 3*j**4\/16 + 57*j. Factor o(t).\nAnswer: -t**2*(t + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-63)\/7 + 20\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 653 + -10676?\nAnswer: -10023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 807879151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1718*b - 1713*b + 30 = 0 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c + 1. Let d be w(-2). Suppose -6 = -d*t + 9. Let m = t - 1. Is m a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, 5, 2\/9, -1\/2 in decreasing order.\nAnswer: 5, 2\/9, -3\/7, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-120)\/(-28) - (-2)\/(2 + 15\/(-6)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i - 1. Let l be g(-11). Let j be l\/(-6)*(-3 - 0). Suppose -u + q + 9 = -q, u + 5 = -j*q. Solve -14 = -3*p - 5*x, -3*p + 5*x = -u*p + 11 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -1. Suppose -31 = -5*t + 2*j, 3*j + 4 = -t - d*j. Suppose -w = -3*w + 16. Solve 0 = t*h - h + w for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -53 + 12434 + -12283?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 + 17. Let r = 1 + 1. Suppose -8 = r*v - 4. Which is smaller: q or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 3*h - 3. Give f(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -274, -548, -822, -1096, -1370?\n\"Answer: -274*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4844714 is divided by 2422347?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10202 (base 3) to base 12\nAnswer: -85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 - -8.4. Let c = v - -13.718. Let w = c + -0.117911. Round w to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 1:29 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 980 and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*y**2 - 4*y**2 - 13 + 15 + 28*y - 12*y**4 wrt y?\nAnswer: -144*y**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/728*13*5\/((-30)\/184)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/29? (a) 0 (b) -9\/8 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -4 + -4*-3*(sqrt(891) + 3*sqrt(891)*-1))**2.\nAnswer: 3456*sqrt(11) + 513280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 784*n**3 - 21595112*n**2 - 4627551*n - 247905 = 0.\nAnswer: -3\/28, 27545","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -244 - 210400?\nAnswer: -210644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-6)*(-72)\/27*3. Find the second derivative of -2*o + 11*o**5 + 52 - 90708*o**l + 90708*o**4 wrt o.\nAnswer: 220*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qjaijyabb. What is prob of sequence jj?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -102*c**3 - 307*c**3 + 4046 - 154*c**3 - 11*c**3 wrt c.\nAnswer: -1722*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**2 + v**2 + 2*v + 5*v**3 - v**2 + 0*v**4 - v**4 in the form t*v**4 + o*v**3 + q*v**2 + w*v + r and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 2*o + 1078, 0 = 4*h - 0*h + 2*o - 862. Does 18 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -172434 divided by 6.\nAnswer: -28739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -2*c**4\/17 - 118*c**3\/17 + 438*c**2\/17 + 4022*c\/17 - 4340\/17 = 0.\nAnswer: -62, -5, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t**3 - 2*t**2 + 27 - 27 - 3*t**3 - 68*t - 6*t**4 + 70*t to the form f*t**2 + p*t**3 + n*t**4 + z*t + x and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of k**7\/63 + 7*k**6\/45 + 19*k**5\/30 + 25*k**4\/18 + 16*k**3\/9 + 4*k**2\/3 + 7*k. Factor o(y).\nAnswer: 2*(y + 1)**3*(y + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 18 + (-1120)\/80. Solve -56 = s*q - 19*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-45*y - 4*y + 15*y - 16*y - 2*y)*(-6*y - 2*y + 5*y) to the form t + n*y**2 + i*y and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -11*l - 13. Let d(s) = -5*s - 6. Let m(t) = 13*d(t) - 6*k(t). Let x(z) = -3*z**2. Determine x(m(n)).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 154470, 154500, 154542, 154590, 154638, 154680?\nAnswer: 154710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(84)*2*3)\/(-4*-4*sqrt(432)).\nAnswer: -sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 573519?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - (-20)\/5)*-4. Let f = -0.5306 - -0.1306. Which is the third smallest value? (a) f (b) -6.1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -8*n**3 + 3*n**2 - 16*n + 60. Is t(-11) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193170512?\nAnswer: 2, 12073157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1288380*-0.152.\nAnswer: -195833.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -96*w - 41. Let z(h) = -25*h - 9. Let x(k) = 3*s(k) - 11*z(k). Give x(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from yzzccrrrrczrzyizr?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12 + 1*(-3 - -1) + -3. Let n = -8 - -29. Calculate the greatest common factor of x and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (1 + 2 + -5 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/14 + (-128)\/(-56). Suppose -118 = j*a - 556. What is the greatest common divisor of 292 and a?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2265103 + 66*m - 245*m + 2265103.\nAnswer: -179*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -1306*o - 9150. Give a(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16762 is divided by 127.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*c)*(10 + 13 - 10)*(4*c**3 + 77*c**2 - 77*c**2).\nAnswer: -104*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10944901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.06 (b) 8 (c) 4 (d) -1 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-6))**(1\/37)*s\/(s*s**12)*s**(14\/5) assuming s is positive.\nAnswer: s**(-1732\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1111 and 2721041.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13170 rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1737 = -114*l - 2070 - 1323 for l.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of 5 + 9\/16*s**4 + 1\/6*s**3 - 9\/8*s**2 + 1\/2*s - 1\/5*s**5. Find b, given that p(b) = 0.\nAnswer: -1, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28857287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10631)\/(-3359396))\/((-1)\/(-8)).\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.0451*-0.4.\nAnswer: -1.61804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 328913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -6*g - 2. Let f(t) = -t**2 - 2*t - 2. Give f(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 169184\/1488928 + (-10)\/(-595).\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17 - ((3 - 0) + -6) and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -56 + -31105101?\nAnswer: -31105160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + 6*l - 5. Let o be t(-7). Let w be o\/((-8)\/(-243)) + 3\/12. Let p = -23 + w. What is the greatest common divisor of p and 304?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y + 94. What is the tens digit of u(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 580+13\nAnswer: 593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l**3 + 273833*l**2 - 771321*l.\nAnswer: 12*l + 547666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-14)*75\/15\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60237, -60362, -60487?\nAnswer: -60612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41054 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(((v**(2\/5)*v)\/v)\/v)*v*v**(-6))**(-2\/7))**(-1\/13))**(-46) assuming v is positive.\nAnswer: v**(1564\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of d**7\/210 + 2*d**6\/15 + d**5 - 10*d + 96. Factor n(y).\nAnswer: y**3*(y + 10)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/8)\/((-371)\/(-10388))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*x**3 + 8892*x**2 - 5*x - 19722 wrt x?\nAnswer: 18*x + 17784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 43 - -1d5?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-5) + (-1 - (-1455274)\/1240). Let c = 1172 - g. Which is bigger: c or -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 20*c - 592 = -14*c for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -5*s**2 - 2*s + 1. Let x(u) = -3*u**2 + 9*u - 3. Let y be x(1). Let l(c) = 1 + 831*c**2 + y - 837*c**2 - 3 - 2*c. Calculate 3*l(p) - 4*w(p).\nAnswer: 2*p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzze. What is prob of sequence ez?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 14) to base 9\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(10\/7)\/n))\/(n\/(n*n**(4\/27)*n)*n))\/(n**(-15\/8))**(-2\/35) assuming n is positive.\nAnswer: n**(463\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s**4 - 153*s**3 - s + 2 + 153*s**3 - 3*s**4 + s**4 + 0*s**4 + (-5*s**3 + s**3 + 3*s**3)*(-2*s - 2*s + 3*s) - 260*s - 5*s**4 + 143*s + 27*s.\nAnswer: -2*s**4 - 91*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - w - 2. Let j(i) = -4*i**2 - 11*i - 8. Determine -j(o) + 5*l(o).\nAnswer: -o**2 + 6*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-1)*(-6)\/(-6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2. Let m(p) be the second derivative of p**6\/72 + 47*p**4\/6 - 32*p. Let q(k) be the third derivative of m(k). Calculate q(l(f)).\nAnswer: 20*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.4 in -23, -6, 2\/5, 8?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Is 946622 equal to 946626?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 p when four letters picked without replacement from puqupypuuupquq.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 3*i**3 + 1839*i**2 - 242940*i + 478500 = 0.\nAnswer: -725, 2, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3*x = 6*r - 3, r - 2*x - 9 = 0. What is the least common multiple of 11 and r?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000019480206874 rounded to 6 dps?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -4*r - 12. Let v(q) = 34*q - 448. Let k be v(13). What is a(k)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 49 - 52 = p, 5 = 3*c + 4*p for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - (-18)\/4) + (-3)\/(-6). Let n be z\/(-24) - 962\/(-12). Calculate the highest common divisor of n and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8669742 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -2, -22, 1, 0.\nAnswer: -22, -2, 0, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 3*r - 33. Let t = r - 33. Let z(q) = q + 3. Give z(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-330)\/11*9\/(-27)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111 = -23*b - 84 + 57 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 37\/2 of a micrometer?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2ad (base 15) in base 7?\nAnswer: 1534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 257, 3, 12, -5 in descending order.\nAnswer: 257, 12, 3, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7093.\nAnswer: 41, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 2*q = 3, -2*q = 3*d - 4*q + 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 5648.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1015 - 593. Let v = -128 + z. Suppose -62*h + v = -59*h. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 9*f - 386*f**3 - 2*f**2 + 381*f**3 - f**2 - 11 - 4*f - f**2. Let w(i) = 4*i**3 + 3*i**2 - 4*i + 10. Give 3*v(p) + 4*w(p).\nAnswer: p**3 - p + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 80 = 56. What is the units digit of (-4)\/(-18) - v\/18?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -312484?\nAnswer: 312489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -0.2 (c) 1\/173711\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 40.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 49 = f + 2*f, 5*f - 41 = a. Let r = 4 - a. Solve 8*q = 3*q - r for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3*b - 2 = -11, -2*t = 5*b - 22. Let y(i) = -75*i + 37*i - 57*i - t. What is the hundreds digit of y(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 367*w**2 - 26787*w + 322. Calculate v(73).\nAnswer: 614","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 1)*(3*p**2 - p**2 + p**2)*(1 - 28*p + 10*p - 3*p) as d*p + n + h*p**2 + s*p**3 and give s.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 29254 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 44*f**5 + 59614*f**3 - f**2 + 44942634*f wrt f?\nAnswer: 880*f**3 + 357684*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.4 - -4. Let u be (-515)\/2163*(-234)\/(-65). Which is the biggest value? (a) u (b) m (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of -j**6\/60 + 13*j**5\/30 - j**4\/24 + 17*j**3\/6 - 12*j**2. Let z be b(13). Solve -2*i + z*i + 6 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2335 + -20054?\nAnswer: -14416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -9. Let q = 4 + i. Let h = q + -0.9. What is the nearest to h in -2, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + q**2 - q + 2. Calculate o(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**1*a**3\/a*(a**(1\/4)*a*a)**11*(a\/a**(-1))\/(a\/((((a\/(a*a*a**(-2\/17)*a))\/a)\/a)\/a))*(a**(-2))**(3\/2) assuming a is positive.\nAnswer: a**(1419\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 248 divided by -248\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -215 + 330. Let x = q + -94. What is the remainder when 221 is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 30362, 39069, 47800, 56567, 65382?\n\"Answer: 2*w**3 + 8693*w + 21667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 36 = -2*n. What is the units digit of (-216)\/32*(-24)\/n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 725?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.91 and -0.296.\nAnswer: 0.26936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 7*b. Let k(j) = 46123133*j**2. What is l(k(p))?\nAnswer: 322861931*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1799*y**3 - 2765*y**3 - 3040*y**3 - 2738*y**2 wrt y?\nAnswer: -24036","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4\/((-8)\/(-10) - 364\/490) is divided by 35.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (-1*sqrt(2) + -4)) + -1 + sqrt(288) + sqrt(288).\nAnswer: 3 + 26*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -345324 (base 6) in base 10?\nAnswer: -29716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*z + 4244 + 553. What is the hundreds digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 8.02.\nAnswer: 8.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2150620284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -654945253, -1309890508, -1964835763?\nAnswer: -2619781018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (14 - (5 - -10))*(2 + -4). Solve 0 = -3*d - 2*m - 2, 3*d = m + a*m - 12 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1671293 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21 or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (14 + -9 + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000059495 rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((10*g - 4*g + g)*(0 + 4 - 2) + 137*g - 66*g - 60*g)*(0 + 0 + 1).\nAnswer: 25*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 4*v + 59, 4*u + 9*v + 29 + 30 - 106 = -40 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -3*u - 9 + 54, 5*p = -4*u + 45. Let j be (-13)\/(-3) + 6\/p. Suppose 4*i - 2*r - 34 = 0, i + 4*r = j + 8. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**2 - 40*m + 47. Determine b(-21).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 277675948 and 25243268?\nAnswer: 277675948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6 or 205\/2?\nAnswer: 205\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66922 = -735*a + 63247 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144 divided by -6149049.\nAnswer: -48\/2049683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 589173519 to the power of 1\/3, to the nearest integer?\nAnswer: 838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2918 from 171.\nAnswer: -2747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -19 > 3175235?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a century in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffnnfnnnfn. Give prob of sequence nf.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 + 17\/85\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17345326?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3681912 is divided by 1227294?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 529059*o + 2 - 529059*o - 2 + 17*o**2 - 13*o**2.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -116654 + 116631.9892. Let s = 22 + b. What is s rounded to three decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7960925?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41\/((-164)\/(-180)) - 58.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -8*r**3 - 4*r**2 + 1 + 4*r**2 - 2*r - r**2 + 2*r**2. Give m(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 + -25. Suppose 0 = 4*z + 3*t - 360, -z + x*t + 50 + 21 = 0. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 divided by 47.\nAnswer: 49\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5258 - 582626930\nAnswer: -582621672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + m. Let a(b) = 2*b**3 - 6*b**2 - 10*b. Calculate -a(l) - 6*z(l).\nAnswer: -2*l**3 + 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 14512086 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 40050020 (base 6) to base 12\nAnswer: 463910","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -291 - -172. What is j rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = v. Suppose 3*m = -5*a - 110, -180 = 5*m + 5*a - v*a. Let x be (-4)\/(-14) + (-4)\/m. Are x and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*a, -a = 258*h - 262*h + 17 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1435 = 5*m + 4*f, -76*m - 5*f = -79*m + 861. Solve m*z - 282*z = -25 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*x - 1748*x - 1700*x - 353*x + 3.\nAnswer: -3690*x + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 + -19. Suppose x*s = 3*s - 231. Does 24 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 greater than 3119\/81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -196 + 257. Suppose 2*y - 151 = -d. What is the highest common factor of 15 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u - 3 + 19 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s - 17*s**3 - 77*s**3 + s - 2*s.\nAnswer: -94*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736) + -1*2*sqrt(2736) + sqrt(2736) + 1 + sqrt(2736) + 0 + -4)*-1 + 3 + 4)**2.\nAnswer: -240*sqrt(19) + 2836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1088037 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1704839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -15, -53, -115, -201, -311, -445, -603?\n\"Answer: -12*d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d**4*u**3 + 72179*d**4*u**2 - d**2*u**2 + 9*d**2*u - d**2 - 46*u**3 wrt d.\nAnswer: -24*d*u**3 + 1732296*d*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3697699 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 6. Factor 3*p + 0*p**3 + p**3 - z*p - p**4.\nAnswer: -p**3*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**2 - 52*w + 119. Determine z(-28).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -371 - -137. Let s = b + 128. Let t = -11 - s. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in twenty-seven quarters of a millisecond?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6028 from -5.\nAnswer: -6033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 573833.\nAnswer: 13, 37, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 314, 325, 340, 359, 382?\nAnswer: 409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 s when two letters picked without replacement from sxsxi?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 6\/11 (b) -2\/3 (c) 0.2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnn. Give prob of sequence nn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1243, 21\/17, 0, -5 in descending order.\nAnswer: 1243, 21\/17, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: 2694120 divided by 1\nAnswer: 2694120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 + (-125143)\/(-3289) - (-90)\/117?\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/((-9)\/(27\/6)). Suppose 4*s - 20 = 0, 3*x + x - s - 3 = p. Which is smaller: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-7)\/3)\/((-8)\/24). What is the units digit of c*1*(1 + 1 - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/(-15)*80\/24. Solve -a - 12 = 2*d - 5*y, -d = y + 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121b10 (base 14) in base 8?\nAnswer: -2272062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 1712 = 6*u - 4*b, -4*b = 4*u - 1672. Suppose 26*r - u + 111 = 0. What is the lowest common multiple of 14 and r?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 65730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/110 and -43\/60.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-80)\/6)\/((-1)\/6). Calculate the greatest common divisor of 10 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.04 + -37.04. Let x = -40 - g. Which is the nearest to 1? (a) 0 (b) 0.2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -15*i**2 + 358*i + 55. What is m(24)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -323 = -115*w + 27*w + 205 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 508?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.77 or -13?\nAnswer: 0.77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1297.9 + -1247. Let s = 52 - y. Is s not equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**4 + 15*i**3 + 5*i. Let g(u) = -106*u**4 + 1582*u**3 - 5138*u**2 - 862*u. Let o(s) = -g(s) + 4*k(s). Factor o(d).\nAnswer: 2*d*(d - 7)**2*(55*d + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m - 18 = -10*m. Let y be (9\/m)\/((-1)\/(-2)). Suppose 0 = y*s - 21 - 3. Solve -4*l - s + 28 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1968 times 38\nAnswer: 74784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/2*7\/((-42)\/(-8)). Suppose -u - v*p + 108 = 0, -4*u + 0*p + 436 = 4*p. Suppose -114 - u = -4*w. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n**3 + 7*n**3 - 19*n**4 - 6*n**3 + 509*n**2 + 9*n**4 wrt n.\nAnswer: -240*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s + 11*s = -65. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 8:01 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -6. Factor 0*a - 6*a**3 + 6*a**2 + y - 45\/2*a**4.\nAnswer: -3*a**2*(3*a + 2)*(5*a - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -59396 + 415816\/7. Factor 8\/7*y + a*y**3 + 0 + 52\/7*y**2.\nAnswer: 4*y*(y + 1)*(11*y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 5*w + 0*w - 3*w - w + 17. What is the remainder when 22 is divided by x(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -r**3*x**5 + r**3*x**2 - 2*r**3*x + 5229*r**2*x - 1512*x**2 wrt x.\nAnswer: -20*r**3*x**3 + 2*r**3 - 3024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -76?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 864 - 507. Let o = -357.89 + i. Round o to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jeuk when four letters picked without replacement from {k: 2, u: 1, s: 3, e: 1, j: 11}.\nAnswer: 11\/36720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*((-3 - -8) + -4). Suppose 2*x + x - 28 = c*b, -5*b = 4*x - 45. Solve 7*h - 2*h = x for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 250 (base 8) to base 13.\nAnswer: cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -45, -168, -403, -786, -1353?\nAnswer: -2140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176077905?\nAnswer: 3, 5, 43, 272989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 + 1.215?\nAnswer: 39.215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201 = 99*l + 1616 - 35 for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + 5*w + 4. Suppose -3*c + 3 = f - 2, 0 = 2*c + 2*f - 2. Let m = 7 - c. Give n(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6395 is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.839 - 0.039. Let d = z + -7.1. Let b = 0.2 + -0.3. What is the nearest to b in 1\/2, -3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(-1) + (-9 - (14 + -9)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5543540 (base 7) in base 5?\nAnswer: -133330221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 7:53 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-23)\/8 - -1 - -2. Let j = 12.2 - 11. Let c = j + -1. Sort c, 0, v in increasing order.\nAnswer: 0, v, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 2*z + 9827 = -10045, -q = -z - 3980. What is the derivative of 87 - q*x + 3976*x - 95*x**2 wrt x?\nAnswer: -190*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 11:22 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 54478 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) - (2*(-1*sqrt(209) + sqrt(209)) + sqrt(209)))\/sqrt(11))**2 + ((-1 + sqrt(2736))*-5)**2.\nAnswer: -600*sqrt(19) + 68425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-7 + 5) - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 10122 (c) 5823\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (72 - 3 + 60)*(-4*n**3 + 3*n**3 + 0*n**3) + (5*n - 3*n - 3*n)*(0*n**2 + 3*n**2 + n**2) to i*n**3 + y + f*n + q*n**2 and give i.\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, a: 7, w: 3}. What is prob of sequence wa?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -27*z**3 + 2*z**2 - z - 2. Suppose 0 = -39*u + 25*u - 14. Does 9 divide y(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -108 - -4?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6643650168 to the power of 1\/3, to the nearest integer?\nAnswer: 1880","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21233312 (base 4) in base 13?\nAnswer: 15233","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -76, 227, 528, 827, 1124?\nAnswer: 1419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -u**4\/4 - 4*u**3\/3 - u**2 + 1. Suppose -6 = -3*q + 5*q. Let r be a(q). Sort 4, -1, r.\nAnswer: r, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4114137 divided by 136?\nAnswer: -4114137\/136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -6*h**3 - h**2 + 6*h. Let w(u) = 7*u**3 + 2*u**2 - 7*u. What is -5*m(y) - 4*w(y)?\nAnswer: 2*y**3 - 3*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hb when two letters picked without replacement from bhgwcrgrhwcgrcgcgg?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*j - 15*j + 31*j + 8 to the form s + x*j and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, w: 2, f: 2, a: 3, z: 8, s: 1}. What is prob of picking 1 w and 1 i?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.018 = -556449?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.038807154278 - 55.\nAnswer: -54.961192845722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.039 + -0.161. Let d be ((-1540)\/3465)\/((-1 + -1)\/18). What is the nearest to -9 in l, -2, d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/26976 and -143\/9411252?\nAnswer: 75290016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 1727 - 45969 = -4*o, -4*q = 2*o - 23862. List the prime factors of o.\nAnswer: 17, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 5*s + 161499985, -4*s - 2*z - 6723876 = 122476114. What is s rounded to the nearest 1000000?\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a**2 - 4*a**2 - a**3 + (-2*a + 2*a - 2*a**2)*(-a + 4*a - 5*a) + 2 + 2*a**3 - 2 - 9*a**3 - 4*a**3 + 0*a**3.\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from saasasa. What is prob of picking 2 a?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -118 + 118 - 5*j + j. Let c(y) = -y**2. Give c(f(m)).\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 6*q + o, 2*o = -8. Is 3\/169 > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 58214*n**3 + 3097*n**2 - 1238225*n - 1 wrt n.\nAnswer: 349284*n + 6194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14442905 and 346?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 93*v + 103. Let f be c(-1). Solve 3*k - 2*l - f = 6, 8 = 3*k + 2*l for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*4*(-181)\/(-543)\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2. Let l(m) = -3*m**2 + 5. Let i(c) = 2*f(c) - l(c). Let n(v) = -1. Let g(u) = -2*i(u) + 10*n(u). Let x(d) = 15*d**2. Give x(g(a)).\nAnswer: 60*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n - 41. Let w(v) = -2*v - 27. Let t(s) = -5*h(s) + 8*w(s). Suppose 0 = u - 3*q, 3*q - 4*q = 0. Suppose u = a + 4*a + 35. Give t(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -5*b**2 - 104*b + 44. Let y(v) = -14*v**2 - 299*v + 128. Let t(a) = -17*i(a) + 6*y(a). Determine t(25).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11406 + 11406.0000026102. Round d to seven decimal places.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1\/7, 0.4, 5, 22?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2982 + -2293. What is the greatest common divisor of 26 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 5*w - 1. Let t be m(6). Let c be -7*(3 + 51\/t). Suppose -4 = 4*h - 5*h. Solve -2*k - c = -5*q, -q + h*q = 12 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 1\/4 (c) -0.2 (d) 215 (e) -24 (f) 332\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171 = -3*g + 3*j, -g + 9 + 52 = j. Suppose v - 4 = 5*x - 3, -2*x - 76 = 5*v. Let k = v + g. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**3)**(13\/3))**(-13\/6) assuming h is positive.\nAnswer: h**(-169\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -143620 (base 8) to base 4.\nAnswer: -30132100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**2 + 101386510*a + 101386505.\nAnswer: 5*(a + 1)*(a + 20277301)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17*6\/765)\/(-4*1\/14).\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*m**2 - 88*m**2 + 0 + 20*m**2 + 22*m**2 + 0.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(-60)*15*12. Let p(g) = 2*g**2 - g - 1. Let x be p(3). What is the units digit of 64\/x + r\/35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/102663416 and -111\/5245576?\nAnswer: 718643912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 23\/3, -3\/4, -0.2, 16?\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4398599 is divided by 3208?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(20) + 4).\nAnswer: -12*sqrt(5) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 55084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38033238.\nAnswer: 2, 3, 6338873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*49637.\nAnswer: -49637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.85229932552 - -1.8523. Round o to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -151, -9\/11 in decreasing order.\nAnswer: -9\/11, -2, -3, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2427 (base 16) in base 5?\nAnswer: -244010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*y + 0)*(-1 + 3*y + 1) + 16*y**2 - 3*y**2 + 0*y**2.\nAnswer: 19*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2428674371 a multiple of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o**4 + 19300*o**3 + 57876*o**2 + 57868*o + 19288 = 0.\nAnswer: -4822, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 6:49 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*f - 5. Suppose 3*c = -3 - f. Does 6 divide (-1 - c) + 1 - -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 52633863 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/31 (b) 3\/4 (c) -10 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4619 is divided by 154?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of 7*b**2\/2 - 11*b + 29. Let g be f(3). Let d be (4\/g)\/((-3)\/(-15)). Solve 5*h - 4*w = -3, 10 = -h - d*w + 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 2 t, and 1 s when four letters picked without replacement from {s: 2, t: 11, b: 1}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148*j - 17*j + 48*j = 6695495. What is the thousands digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + a + 9. Suppose 0 = -530*r + 518*r. Give z(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 179\/118080 and -63\/8.\nAnswer: 118080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28543*w**5 - 3112*w**4 - 4749*w**2 + 3142*w?\nAnswer: -1712580*w**2 - 74688*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -796837?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -41 (base 5) to base 14\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.02819666 and 32322.\nAnswer: 32320.97180334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 10:53 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 48*j**2 - 216*j - 29. Let p be y(-43). Let h(m) = -m**3 + 12*m**2 + 30*m - 23. Let z be h(p). Solve c - z = -3*i, 4*c + 6*i = 2*i + 20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 252\/14 + 7\/(7\/15).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**4\/2 - 3603*s**3\/2 + 6965421*s**2\/2 - 2256077205*s\/2 + 3352820175 = 0. Calculate s.\nAnswer: -2334, 3, 565","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuruuqruumq. Give prob of sequence qqm.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6324 + 1?\nAnswer: 6325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 89\/2 of a decade?\nAnswer: 5340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7952 is divided by 30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.133697 to 3 decimal places.\nAnswer: -1.134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -8*g**2. Let l(x) = x**2. Let w(d) = -14*l(d) - 2*v(d). Suppose 3*j - 20 = -2*j. Let o(t) = -4 + 3*t + j. Calculate w(o(a)).\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 1 = -15. Let j(g) = -g**l - 3*g**2 - 4*g**2 + 6*g**2. Let c(x) = -56*x**2. Give j(c(w)).\nAnswer: -6272*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-78)\/(-18)*(-7)\/14)\/(((-55)\/(-30))\/11)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7097?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9541?\nAnswer: 7, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66341*q**3 - 66349*q**3 + 132704*q**3.\nAnswer: 14*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 + 23.6136. Let r = t - 0.61. Round r to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 2470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3691 + 3692. Which is the fifth smallest value? (a) -3 (b) -2 (c) 4 (d) 2\/21 (e) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/5 + 16866*g**2\/5 + 101223*g\/5 + 151848\/5.\nAnswer: -(g - 16872)*(g + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 133567229 divided by 2?\nAnswer: 133567229\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1746583 and 232?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**(1\/3))*(c*(c*c**(2\/23))\/c)\/c)\/(c**3*c*c**(1\/12)*c) assuming c is positive.\nAnswer: c**(-1471\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z. Let r be j(-2). Let c be 12*(r + 36\/16). Calculate the remainder when 2*-3 + c + 9 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 152574223 + -4?\nAnswer: 152574217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36227678, 36227678, 36227676, 36227672, 36227666, 36227658, 36227648?\nAnswer: 36227636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + p + 9. What are the prime factors of (-18)\/(-27) + (-58)\/p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8.73 - 1.47. What is d rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4b + 20?\nAnswer: 6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 44139711 divided by -957\nAnswer: -46123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-5981)\/(-3))\/((425\/(-51))\/(-25)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 - -40. What is the remainder when 71 is divided by v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 + 34. Suppose -70 + 1242 = j + p, 5*j - 4*p - 5833 = l. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 33, -0.38, 14, -7?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**4 + r**4 + 4*r**4 + (-2 + 5 - 4)*(-r**4 - 4*r**2 + 4*r**2) + (190*r**2 - 190*r**2 - 28*r**3)*(-3*r + 3*r - 2*r).\nAnswer: 59*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 5*l - 16*l + 0*l + l**3 + 10 + l**2. Let b be z(2). Solve b = 20*v - 23*v + 12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 313 + 75 = 2*p. Suppose 0 = -3*l - 11 + p. What are the prime factors of l?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -72 + 93 + -23 + -53?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 14*l + 538. Calculate p(-44).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v**5\/5 - 140488*v**4\/5 + 1731348*v**3\/5 - 5707768*v**2\/5 + 7110816*v\/5 - 598784 = 0. What is v?\nAnswer: 1, 4\/3, 2, 8, 11695","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -8*v**3 - 7*v**2 + 37*v - 35. Let n(o) be the first derivative of z(o). Does 55 divide n(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3*x + 149. Let z be m(0). Let p be z\/2 - (21\/6 - 4). Let y = p + 99. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -296*c**3 - 120*c**3 - 171*c**3 + (0*c + c - 3*c)*(1 - 1 - c**2) + c**3 - c**3 + 2*c**3 to the form a*c**3 + v + t*c + q*c**2 and give a.\nAnswer: -583","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3 = 17. Let m = -2 + n. Suppose 9 = m*w - 13. Calculate the remainder when 30 is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 6*n + 18 = 0, 5*n + 10 + 6 = -2*y. Sort 14, 20, y in decreasing order.\nAnswer: 20, 14, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288)*4*3.\nAnswer: 144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -6*p**2 + 3*p - 4. Let w be y(3). Let j = -13 - w. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4131235 - 2?\nAnswer: -4131240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d + 1. Let g be r(-1). Suppose 0 = g*j, -4*c + 32 = 5*j - 32. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(-8)\/(8\/21). Let d be (-6)\/(5 - -19) - n\/(-4). What is the closest to 1\/4 in -3, d, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/39 and -1\/483535.\nAnswer: 1450605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 830*q - 823*q = -42. Does 6 divide (-129)\/q*2*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -13169, -52675, -118521, -210707, -329233, -474099?\n\"Answer: -13170*k**2 + 4*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (-4 + sqrt(3) + 1))*-4.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1655855 and 512.\nAnswer: -1655343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -22036\nAnswer: -2203.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/288 and 155\/681492?\nAnswer: 16355808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 - 402340?\nAnswer: -402320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1327548*s**5 - 2*s**3 + 2465003*s**2.\nAnswer: 79652880*s**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88\/55 + 30\/(-50).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*p**4 - 5*p**3 - 20*p wrt p?\nAnswer: -96*p**2 - 30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -301 + -13123?\nAnswer: -13424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 5*v + 50, j + 5*v + 6 = -2*j. Let r(y) = y**2 + 3*y - 25. Let d be r(j). Solve -d*b = -4*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 518288 to the nearest integer?\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9\/4, 1, 15874.42, -0.1?\nAnswer: 15874.42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 g when three letters picked without replacement from {y: 5, g: 2, q: 4, j: 2}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -12*q**3 - 5*q**2 - 5*q + 15. Let a(z) = 17*z**3 + 8*z**2 + 8*z - 23. Determine 5*a(k) + 8*j(k).\nAnswer: -11*k**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 - 18*p + 3. Let q be o(9). Let c be ((-418)\/(-33))\/(q\/(53 - -1)). Suppose -22*l + c = -18*l. Is l a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**3 - 37*v**2 + 17*v - 35. Let s be q(-19). Suppose s*a = -10*a. Solve 0 = -a*p + 3*p + 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 10*r**2 + 26*r + 258. What is y(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 6. Suppose -12*o + 8*o + 8 = 0. Solve -8 = -d - f*h + 7, h - o = -2*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -895.\nAnswer: -3\/895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 2*h - 10 = 0, 2*q - 4*h - 4 = h. Suppose q*x + 2*a = -4, -2*x - 5*a = -0*a + 19. Solve -x*n + 0*n = 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18289666 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 951568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 259 to the power of 1\/2, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 4*d + 16, 5 = -5*b + 3*d - 7. Let u = -340 + 308. Let p be (-180)\/(-32) - ((-204)\/u)\/(-17). Solve -j + p*j - 25 = b for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 748*u**2 + 756*u**2 + 755*u**2 + 750*u**2 + 752*u**2 - 3755*u**2.\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 297092?\nAnswer: 2, 17, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**5\/2 - 3*x**4\/2 - 8*x**3 - 6*x**2.\nAnswer: x**2*(x - 6)*(x + 1)*(x + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*x**2 + 0*x**3 + 6*x**2 - x**3 - 2 - 9*x**2 as a*x**3 + y*x**2 + u + z*x and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p**2 + 25*p + 24. Let o(l) = 5*l + 87. Let w be o(-19). Does 3 divide c(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*p - 0*p + 2400. Let r = p + -112. Is r a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -12 - -11) + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -8 - 4 + 11. Suppose -2 = v + 4. Let b(g) be the third derivative of -g**5\/60 - g**4\/24 + 7*g**3\/6 + g**2. Give v*d(t) - b(t).\nAnswer: t**2 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 1 - 6*g + 1 - 5*g**2 + 6*g**2. Let m be r(7). Suppose d = -4*f + 6*d - m, -5*f = 4*d - 40. Calculate the highest common divisor of f and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**2 + 7674*x + 68823 = 0. What is x?\nAnswer: -2549, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5522265903 to the power of 1\/2, to the nearest integer?\nAnswer: 74312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 92, 205, 284, 317, 292, 197, 20, -251?\n\"Answer: -2*h**3 - 5*h**2 + 142*h - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4*n + 2. Let g be x(0). Suppose -4*a + a - 12 = -g*k, -a + 4 = 0. Differentiate k*m**4 + 3*m**4 + 2 + 15 wrt m.\nAnswer: 60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*d - 46048, 3*m + m = -23*d + 264737. Are 34535\/3 and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 882 and 140742?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*h**2 - h**2 - 3*h**2 - 3*h)*((h + 18*h - h)*(2 - 2 + h) + h**2 + h**2 + 0*h**2) to the form b*h**3 + a + w*h + x*h**2 + o*h**4 and give b.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 6*r. Suppose -5*n + 20 = r, 7*n = -2*k + 2*n + 28. Solve 0 = -2*i + i - k for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 4*f + 52, 0 = -2663*f + 2667*f + 28. Solve 18*l - j*l + 12 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1922841.\nAnswer: 3, 213649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -16023984284617 - -3?\nAnswer: -16023984284614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -19*v + 4. Calculate b(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*m**5*w - 3*m**5 - m**3*w + 4*m**2*w + 20*m**2 + 1 wrt m?\nAnswer: -300*m**2*w - 180*m**2 - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wmm when three letters picked without replacement from {w: 1, v: 6, m: 3, x: 8, q: 1}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 152504*t**3 + 46699*t**2.\nAnswer: 915024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 630\/(-198) + 4\/22 - -24.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3*2 - 4214\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = q - 24, 4*p - 25 = -q - 5. What is the third derivative of -6*v**6 - p*v**2 + 5*v**2 - 3*v**2 wrt v?\nAnswer: -720*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1365 = -215*d + 1430 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 12*v**2 + 24 - 4 - 14 - 25 - 11 + v. List the prime factors of k(-11).\nAnswer: 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11 and 3766573.\nAnswer: -41432303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((1 + sqrt(112))**2 + sqrt(112)).\nAnswer: 36*sqrt(7) + 339","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 374739339 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-143)\/13)\/(((-5)\/10*2)\/1)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18291 and 54690961.\nAnswer: 871","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 515 = 51*a + 82*a + 261 - 2406 for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.11 - 3.89. Let f = 0 + w. Let b be (-29)\/(-18) + (-6)\/4. Put -5, b, f in descending order.\nAnswer: b, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 4*g + 62. Suppose 0 = 50*q + 1285 - 885. Determine a(q).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 k, and 1 e when three letters picked without replacement from jjehxxxmekmh?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 2*v. Suppose v = -4*h + 6 - 2. Let d be 3\/h - (-2 + 2). Put 2, d, -2 in descending order.\nAnswer: d, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4 + 0. Let o(z) = -z**3 - 6*z**2 - 3*z - 4. Let f be o(-4). Let y be (-6)\/28*f\/18. What is the third smallest value in y, -2, r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by 1\/(-4)*-4 - -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/224341336 and 5\/205226.\nAnswer: 1570389352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/21228 and -181\/12810.\nAnswer: 742980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 191*r**5 + 65754*r**3 - 27*r**2 + 928*r - 46 wrt r?\nAnswer: 11460*r**2 + 394524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*p**2 + 15*p + 17*p - 32*p in the form h*p + m*p**2 + k and give m.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 4)*(19*c**2 - 147*c + 282*c - 143*c).\nAnswer: -38*c**2 + 16*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**3 + 2*o**3 + o - 2*o**3 + o**4 - 3*o**2 to l + f*o**2 + w*o**3 + v*o**4 + y*o and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -23*r + 892. Determine b(36).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**4\/13 - 126*k**3\/13 + 2052*k**2\/13 - 4816*k\/13 - 36480\/13 = 0.\nAnswer: -3, 8, 20, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 5) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 103829 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2647409 (base 10) to base 7\nAnswer: 31334252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*v - 109*v - 2 = 4*m, 84*v = 88*v - 2*m + 24 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1338209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6384, -12770, -19156?\n\"Answer: -6386*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29411527 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and -3767411.35.\nAnswer: -3767416.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*o = 52*o + 275 + 127 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -2*i + i - 290, c - 5*i = -58. Let j = 4655 - 4599. Let b = c + j. What is the third smallest value in b, -3, -0.3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*f + 17*f - 55194. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -5*r + l, -112*r + 116*r - 63*l + 323 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/3)\/o)\/(o**(-1\/10)\/o*o))**(-30\/7)*(o**(-1)\/(o\/o**(-6)))\/(o**(1\/5)*o*o**(1\/7)) assuming o is positive.\nAnswer: o**(-142\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*a**5 - 336*a**4 - 206*a**3 + 4907*a**2 - 19*a wrt a.\nAnswer: 180*a**2 - 8064*a - 1236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -22817*4\nAnswer: -91268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, g: 1, k: 3, j: 3, i: 3}. What is prob of picking 3 k?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -7 - (-132)\/20 - (-12)\/5. What is the second derivative of 10*i + 16*i + 21*i - 1285*i**g + 1351*i**2 wrt i?\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1840 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 184446 or 184445?\nAnswer: 184446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 0 - 4. Suppose -6*b + 0*b = -o*b. What are the prime factors of (-2 - b - (-50 + 1)) + 0?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36482794203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -168689*v. Let u(g) = 19*g**2. Calculate m(u(q)).\nAnswer: -3205091*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17560 is divided by 979?\nAnswer: 917","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 10*x + 0 + 4*x - 1.\nAnswer: -6*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -1\/40*q**6 - q**3 - 10*q**2 + 0 - 1\/5*q**5 - 5\/8*q**4 + 0*q. What is m in j(m) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 23, 4, 1?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/4)\/(3\/48). Let l = q + 13. Let x(j) = -j**3 + 3*j**2 + 2*j - 4. Let h be x(3). Solve l*p = 27 - h for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 23, -2.\nAnswer: -2, 0, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2438 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 180? (a) 5 (b) -5 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y**3 - 3*y**2 - 4*y + 2. Suppose 3*j - 3 = 6. Let w(n) = -n**2 + 3*n**2 - n**2 + n + n**j. Determine -u(i) - 4*w(i).\nAnswer: -i**3 - i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/170 and -53\/34.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010000100 + -110010100?\nAnswer: -101000011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 15429, 15352, 15143, 14736, 14065, 13064?\n\"Answer: -11*a**3 + 15440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*s**5 + 253*s**4 + 1626*s**2.\nAnswer: 960*s**2 + 6072*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4830128*q**3 - 1669479*q**2 - 1 wrt q.\nAnswer: -28980768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -4) + -134 + 82 + 97?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 11) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 - 15 - 3)*(o - 4*o + 4*o).\nAnswer: -37*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 75.53418 + -77.5342652. Let a = m + 2. What is a rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86144.03 kilograms in milligrams?\nAnswer: 86144030000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 3 - (-74 + 82)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 64810919971 + -0.5?\nAnswer: 64810919970.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, u: 5, g: 3}. Give prob of sequence dug.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -104 + 66 for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -30*a**2 - 30*a + 7. Let w(q) = 31*q**2 + 23*q - 6. Determine -6*m(u) - 7*w(u).\nAnswer: -37*u**2 + 19*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x**2 - 18*x + 5. Let t be a(-9). Suppose -t*q - 176 + 786 = 0. Is 16 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**2 + 14*x + 46. Determine j(12).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g + 10*g + 13*g.\nAnswer: 26*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14448)\/(-6 - -18) - (-4)\/1. Let o = x + 2244. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 2*f - 47, 0*g + f = 2*g - 29. Find the third derivative of 4*v**3 - 7*v**2 + 33*v**2 - g*v**3 - 13*v**3 wrt v.\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -232463045 divided by -5.\nAnswer: 46492609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 74 - 74 + 17*z. Let j(m) = -2*m**2. Determine y(j(f)).\nAnswer: -34*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6712?\nAnswer: 2, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 35113489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 4*z + 2, 4*f - 6*f = 3*z + 2. What is the units digit of (-9 - 0) + 1097 - (-1)\/f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 116 and 145?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - 0) + (239 - 258)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -28, 9780, 5, 7, 3.\nAnswer: -28, 1, 3, 5, 7, 9780","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -35 (c) -0.5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -0.5 (b) -2\/7 (c) -63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*f + 3*f - 44*f. Is f greater than -2\/301?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 75 - 42. Suppose 0 = x - 5*t + 14, -2*x + 18 = 3*t - 19. What is the greatest common factor of s and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -1\/3, -365, 2 in increasing order.\nAnswer: -365, -19, -1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -2*n + 0*n**2 + 0 + 0*n**5 + 2\/21*n**7 + 0*n**6 - 3\/4*n**4 + 0*n**3. Find the third derivative of w(s) wrt s.\nAnswer: 240*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -230, -153, -22, 163, 402?\nAnswer: 695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1990912?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -60.7 - -56. Which is the nearest to 2\/3? (a) w (b) 3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 13 (c) 2 (d) -3.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 168 and 42798?\nAnswer: 171192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/2 and -73\/39174872?\nAnswer: 39174872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + -7. Let l = 6.5 + b. Let p = l - 0.5. Sort -0.1, p, -6\/7.\nAnswer: p, -6\/7, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of q**5\/60 + 12*q**2. Let g(j) be the third derivative of j**4\/24 - j**2. Calculate g(h(z)).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*t**4*v - 22291*t**3*v**2 - 6528*t**2*v**2 + 7*t*v**2 wrt t?\nAnswer: 456*t*v - 133746*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2041 - -767?\nAnswer: 2808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 14*u - 12. Let q be h(15). Suppose -5*f + q*f + 4 = 0, -4*f + 1 = -y. Suppose y*d - 22 = 6. Solve -4*a + 7 = -3*w - 0*a, -d*a + 1 = 3*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 4*i**2 - 6*i + 1. Let t(h) = 539 - 2*h**2 + 5*h**2 - 264 - 273 - 5*h. Calculate -5*f(n) + 6*t(n).\nAnswer: -2*n**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4617 is divided by 2264?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 734 is divided by 324.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-1)\/(5\/(-2))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 6 = 3. Solve -3 - n = 3*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 742*b - 747*b. Solve 2*w - 2*m = -8, w - b*m + 5 = 1 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 3\/6) + 870\/4. Do 219 and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1ad68 + 1?\nAnswer: -1ad67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -7.6. Let o = 46 - 46. Let f be 8\/68 + o\/(-1). What is the smallest value in 0, 7, i, f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*v + 267 - 123 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from rmrrrrrrrmrrr?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 80, 1, 97, -5 in decreasing order.\nAnswer: 97, 80, 5, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1172)\/(-9) - (-8)\/(-36). Let w = l - 99. Solve -3*i = -3*b + 2*i + w, 5*b + 2*i = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -15*h**4\/8 - 15*h**3\/2 + 15*h**2. What is the units digit of r(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 - 2 = -5*a - v, 0 = 5*a - v - 44. Suppose 13*g - 12 = a*g. Let s(r) = -9*r - 2. Calculate s(g).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -129*z**2\/2 + 143*z + 229. Is a(-14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 21*t + 3. Give y(-7).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 403261?\nAnswer: 403261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 925773633.\nAnswer: 3, 37, 2780101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + (-4)\/(-7) + (-563888)\/(-56). Suppose 0 = 4*v + 12, -r = -5*q - 2*v - 3766. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 7 = -5*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15465127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.12 and -687764.\nAnswer: 82531.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 551523?\nAnswer: 3, 7, 26263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65 divided by 65.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99613?\nAnswer: 23, 61, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2924944 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 6:38 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 57? (a) 4 (b) 8708 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 714307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -145356, -295397, -445438?\nAnswer: -595479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 0.1 (b) -1 (c) 1\/55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -70, -107?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42906, 85855, 128818, 171801, 214810, 257851, 300930, 344053?\nAnswer: 387226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 1:01 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4312 = 71*n - 463*n for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.14? (a) 2\/3 (b) -36 (c) 0.0059\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -43.1.\nAnswer: 86.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7923, 15866, 23827, 31806, 39803?\n\"Answer: 9*k**2 + 7916*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 13*k + 95. Let h be c(-5). Suppose -2*q = -3*w + q + 144, 0 = -h*w - 5*q + 200. Solve 0 = -6*u + 14 - w for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 4*d - 104, -5*r + 119 + 96 = -5*d. Let m be r - (1 - (-3 + 4)). Find the third derivative of 37*k**2 + 19*k**5 + 17*k**5 - m*k**2 wrt k.\nAnswer: 2160*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 8. Suppose l = -a - p, 5*a - 4*p + 0*p + 41 = 0. What is the tens digit of -30*((-12)\/a)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of -d**4\/2 - d**3 - d**2 - d + 18. Give b(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -107370759 - 0.4073\nAnswer: -107370759.4073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 - 18.2. Let h = z - 1.8. Let i = 35 - 35.1. What is the nearest to 0.1 in h, 2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -173?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 72 or 71?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - -2*-1*sqrt(68) - (-1*-2*sqrt(68) - sqrt(68)))\/(sqrt(64) + (-6*5*sqrt(64) - sqrt(64))) + -1.\nAnswer: -1 + sqrt(17)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.859195 hours to weeks.\nAnswer: 0.124161875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 58\/(-203)*(5488\/512)\/(-7).\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cflflfxuxwwlfxlwxxx. Give prob of picking 1 f and 1 w.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bvdbvbbepvvbbv. Give prob of picking 1 v, 1 b, and 1 p.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 u when four letters picked without replacement from {v: 5, u: 8}.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -2\/3 (b) 1\/4 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 22 - 17 - (35 + -2) - 1?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 13, -2, -4 in ascending order.\nAnswer: -4, -3, -2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1213 + 4555. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -16497, -15480, -13785, -11412?\n\"Answer: 339*x**2 - 16836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 172922 (base 16) to base 3.\nAnswer: 2212010002222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/11, -0.5, -2\/27, -5 in decreasing order.\nAnswer: -2\/27, -1\/11, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-8)*8\/(-36)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 - -31. Suppose -l = -5*z + 25. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -46*f**2 + 64*f - 33. Calculate z(0).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.91 + -0.09. Let z = 1.9 + -0.6. Let c = z + -3.3. Which is bigger: c or p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1270 and 1778?\nAnswer: 8890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggg when four letters picked without replacement from {d: 7, g: 4, f: 4}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(-36) - 28\/(-6). What is the highest common divisor of o and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 324 * -2040\nAnswer: -660960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l + 59*l - 1574 + 602 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 6*f**2 + 2*f - 7. Let d be z(-6). Suppose -2*y - l = -0*l + 25, 2*l = 4*y + 38. Let i = y - d. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1425040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -127299 in -4, -507, 2?\nAnswer: -507","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 59126\/2880 + 2\/9. Let b = j + -1\/480. Let k = 4\/523 - 31943\/5230. Calculate the common denominator of k and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3278 and 73403?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 675*o**3 + 360*o**2 - 7332*o + 8112 = 0. What is o?\nAnswer: -4, 26\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/23 + 26\/69. What is the closest to k in -6, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -6 + 27 + 10 + -4\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-2) - (-66)\/(-12). Let q = 5 - d. Let c = q - 7. Solve h = 3*h + c for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3*(-3)\/(-18))\/((-1)\/(-86)). Let f = 56 + u. Are 13 and f equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -d + 7, -2*d + 0*d = 3*z - 4. Determine q, given that -3*q**4 + 0 + 3\/2*q**3 + 0*q + 0*q**2 + 3\/2*q**d = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42 - -20 - -129) + -92?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 29 = c, 0 = -2*s - 16*c + 14*c + 16. Let v(x) = -4*x - 1. Calculate v(s).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1382161667 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -5*f + 2083, -c + 5 = 1. Let b(n) = n**2 - 58*n + 333. Let p be b(55). Let t = p + f. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 184 - 2046 = 5*m, 3*m = -5*q + 2309. Suppose -8*n + q = 295. Solve 3*t + n = 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(50) + -5)**2.\nAnswer: -60*sqrt(2) + 86","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (28\/(-21))\/((-140)\/100*4\/(-126))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 104678 = 62114. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + ((-676)\/(-14) - 410\/1435)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27566*i**2*r - 35*i**2 + 19*i - 1 with respect to r.\nAnswer: -27566*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, v: 4, z: 1, w: 1, e: 5, m: 1}. Give prob of sequence eyz.\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 12, -6\/85, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, j: 5, f: 2, r: 2, d: 4}. Give prob of picking 1 f and 1 d.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (6136\/(-3276))\/(2\/(-33)) + 18 + (-1968)\/112\nAnswer: 94\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -191 - 45. Suppose -3*z = -4*u - h, -3*z - u - 4*u + 95 = 0. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -1566562?\nAnswer: 1566563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of 323*b**4\/2 - b**3 - 252*b + 24. Find the third derivative of n(d) wrt d.\nAnswer: 3876","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -4*b + 13, -2*w - 3 = 7. Let i = 6 - b. Suppose 2*v + 5 = -t, t + v = i*t - 6. Let n(o) = 9*o**2 + o - 1. Determine n(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1855371?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21956 and 88.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2122 + -4?\nAnswer: 211e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of 5\/6*h**3 + 0 - 1\/3*h**4 + 4*h + 1\/20*h**5 - 3\/2*h**2. Give q(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100\/30 + 4345\/(-660)\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10 - -3021378?\nAnswer: 3021368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 156237*j**2\/4 + 4197*j + 9 = 0?\nAnswer: -2\/19, -6\/2741","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21226520*d**3 - 134840*d**2 - 2*d - 5?\nAnswer: -127359120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m - 1. Let g be p(-1). Suppose 0 = y + t - 8, 4*t + 4 - g = 3*y. Calculate the greatest common divisor of y and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 122\/(-16) + 28\/((-896)\/12). Let d(a) = -a**3 - 10*a**2 - 11*a + 7. Give d(s).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -183 - c7e?\nAnswer: -e01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -a**5\/5 + a**4 + 15*a**2 - 6. Find the second derivative of u(k) wrt k.\nAnswer: -12*k**2 + 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h + 3*h - 5*x + 4 = 0, -h + 2*x = 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212 is divided by 74.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 7*f + 19. Let o = 12671 - 12663. Give m(o).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 16*x = -930. What is the third biggest value in 0.6, x, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -1\/12*k**4 + 39*k + 0 - 13\/6*k**3 - 41\/2*k**2. Let o be f(-8). Is o <= 1\/76?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1040*v - 2054*v + 1033*v = 95 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 5*x + 2. Is k(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 1384 = h - 5*h, 0 = -5*d - h + 1754. Let l be ((-15)\/20)\/((-834)\/208 + 4). Suppose 8*r = d - l. What are the prime factors of r?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29*a**4 + 42*a**2 + 1706*a - 1.\nAnswer: 348*a**2 + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 54 + 71 = 0. Is c a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13.88 + 11.2. Let w = 3.1 + z. What is w rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 + (-1296)\/112)\/(-4*5\/(-14)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 + 48. Suppose -c = -5*x + 45. Does 8 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115312.\nAnswer: 2, 7207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 3:17 AM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27*118\/13806 + 162\/26?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-4*sqrt(126)\/sqrt(2))**2 + 1.\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2100 + -10?\nAnswer: 20b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-515907)\/(-63357) + 26\/14.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g = 81 - 15. What is the closest to -1 in -0.4, g, 4, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 12*p**2 - 15*p - 25. Let o be r(-11). Solve -5*n + g - o = -2*g, n - 4*g + 14 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22.94 - -22.9. Which is the second smallest value? (a) r (b) 4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 15 = -3*q - 25, -3*q - 15 = -3*d. Solve d = 3*l + w, 0 = -5*w + 20 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63889 is divided by 31256?\nAnswer: 1377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away -0.146662?\nAnswer: 4.146662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 5*q - 3. Let b be o(2). Find the second derivative of b - 3 - w**5 + 3*w + 4*w**5 wrt w.\nAnswer: 60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -n**5*r**2 - 963*n**2*r**3 - 17*n**2 + 7*n*r**3 - 12*n*r**2 - 124*n*r - 2*n wrt n?\nAnswer: -20*n**3*r**2 - 1926*r**3 - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -218.379908344 - -218.38. What is w rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 7. Suppose 6*x - 6 = i*x. Is 4\/7 > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27874, 223153, 753202, 1785391, 3487090, 6025669, 9568498, 14282947?\nAnswer: 20336386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 440*d**3 - 1295*d**3 + 427*d**3 + 435*d**3.\nAnswer: 7*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/(sqrt(486)*2).\nAnswer: sqrt(7)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -534.35 - 8639016461\nAnswer: -8639016995.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) 1\/9617 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - (-18)\/20)\/(6676\/(-25035)). Solve -3\/8*r**2 - 6*r + z*r**3 - 15\/2 = 0.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1895.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 2:25 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1826132\/5*x - 308\/5*x**3 + 1\/5*x**4 + 35153041\/5 + 35574\/5*x**2.\nAnswer: (x - 77)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**25\/h*h*h)\/h*h)**(2\/29)\/(((h*h*h*h**22)\/h*h)\/h**42) assuming h is positive.\nAnswer: h**(545\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 56 + -34. Calculate the highest common factor of l and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 502623?\nAnswer: 3, 11, 5077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -6362438.\nAnswer: -3\/3181219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 6*u + 63. Let z be v(-10). Let j be 1*(4\/2 + -2). Let o(l) = -l - 1. Let n be o(0). Put j, n, z in ascending order.\nAnswer: n, j, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/12*(-39 - -33).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34620 (base 7) in base 14?\nAnswer: 3347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10652 - 10650. Which is the biggest value? (a) -0.7 (b) k (c) -2 (d) 1.8 (e) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -135*n**3*u**4 + 4*n**3*u**3 - 1135*n**3*u**2 + 14*n**3*u - 4*u**3 wrt u.\nAnswer: -3240*n**3*u + 24*n**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 9*n**2 - n - 6. Let y be t(-9). Let o(c) = c + 1. Let b be o(4). Suppose b*q = q + 3*v, -y*v = q. Solve -z - 4*z + 25 = q for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 92*w + 356. Is 18 a factor of r(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89, -409, -997, -1895, -3145, -4789, -6869, -9427?\nAnswer: -12505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -3*g**8\/112 - 13*g**5\/60 - 10*g**2. Find the third derivative of u(s) wrt s.\nAnswer: -540*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/4*(-6 - -4). Suppose a*l + 3*q + 7 + 2 = 0, -q - 5 = 0. Suppose 0*b - 2*o = -5*b + 26, -b = -4*o + l. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 454*i**3*o**2 - 60545*o**2 wrt i?\nAnswer: 1362*i**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/1197 and -8\/1995?\nAnswer: 5985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -73 - -66.1. Let k be (-24)\/(-6) + (564\/(-180) - (-2)\/(-3)). Sort -0.5, r, k in descending order.\nAnswer: k, -0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 19899450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 10487, 10603, 10915, 11519, 12511, 13987, 16043?\n\"Answer: 16*w**3 + 2*w**2 - 2*w + 10471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 34 = m + 13, 0 = 2*x - m + 13 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5120 + 15\/(-6)*132\/55?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 3:47 PM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539) + -3 + sqrt(539))*3 - ((3 + sqrt(539))*1 + sqrt(539)))**2.\nAnswer: -672*sqrt(11) + 8768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38 - -1. Let q = 2221 - 2195. What is the highest common factor of j and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*y + 36 = 142*y. Which is the nearest to -0.3? (a) -0.3 (b) 2\/13 (c) -4 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of 0*m**5 + 0*m**4 + 0*m**2 - 2 - 37*m - 5\/6*m**6 - 10*m**3. Find the second derivative of g(l) wrt l.\nAnswer: -300*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 3653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -6*h + 16. Sort 5, -19, h.\nAnswer: -19, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 65*d**2 + 1 - 6.\nAnswer: 65*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of r**6\/75 + r**5\/50 + 2*r + 36. Factor w(m).\nAnswer: 2*m**3*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1*f*f)**21\/(f\/f**2)**(9\/7) assuming f is positive.\nAnswer: f**(450\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5\/1544 - 2102\/965. Find the common denominator of -151\/12 and d.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -53.75 - -54.75. What is the biggest value in h, -76, -13?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4214 (base 11) to base 14\nAnswer: -2069","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 25815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 0 + 1 - 581*r + 441*r.\nAnswer: -140*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 2. Solve -w*i - o = -5*o - 22, -3*i + 5*o + 21 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5*l = -0 + 26, 4*l = 2*h + 22. Suppose -3*n = 2*u - 5*u - 3, n = 4*u - 5. Let c(i) = n*i + 8*i - 5*i. What is c(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -32*b + 28*b + 20, 5*b - 7 = 4*g for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 423783340.\nAnswer: 2, 5, 2719, 7793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 1. Let s be 2 + (264\/(-69))\/w. Let k(h) = h**2 - 20*h + 63. Let o be k(4). Is s at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 1356, 2019, 2682, 3345, 4008, 4671?\nAnswer: 5334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d**3 - 7. Let r(a) = -a**3 + 1. What is -6*r(y) - w(y)?\nAnswer: 3*y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -69?\nAnswer: 5\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 333445693?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -169397a (base 13) to base 9\nAnswer: -14685823","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 21*q + 1. What is the tens digit of i(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(1\/19)*r*r**26)\/(r\/r**17*r\/((r*r**6)\/r)) assuming r is positive.\nAnswer: r**(932\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 + -6. Suppose 3*m + 4*d - 186 = 0, -2*m - m + 3*d = -186. What is the highest common factor of m and w?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 4 + 0 + -4 + 3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d + 9*d = -9*d. Let l(u) = u + 1. Let t be l(7). Suppose 0 = 9*r - t - 64. Solve d*o = 2*o + r for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 31002665 - -1?\nAnswer: 31002666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.3 (b) 5587.7 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/191 less than -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/12 - (-3)\/36?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -36, -30, -22, -12?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*q + 7*q - 12. Which is bigger: q or -14\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29742 is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 24*(-1)\/((-7)\/((-28)\/(-8))). Suppose -13*m + 31 = -c*m. Solve 4*w + 5*l + m = 0, 2*w - 4*w - 17 = 3*l for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 a factor of 1826656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1282974, 2565895, 3848816, 5131737?\nAnswer: 6414658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.07891 millilitres in litres?\nAnswer: 0.04207891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9967 (base 11) to base 9.\nAnswer: 20021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*k**5\/2 - 924835*k**4\/2 - 4007895*k**3\/2 - 308365*k**2\/2 + 2003940*k + 616600 = 0.\nAnswer: -4, -1, -1\/3, 1, 61660","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5552 - 2276. Does 14 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/15 in -4\/2019, -1, -2?\nAnswer: -4\/2019","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -25*c + 8. Let l(k) = 8*k - 3. Determine -4*f(s) - 11*l(s).\nAnswer: 12*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 67*h**3 + 3*h**2 + 2178*h - 6551. Determine p(3).\nAnswer: 1819","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -877 divided by -2.\nAnswer: 877\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 12*h**3 + 5*h**2 - 3*h - 3. Let u be w(3). Suppose -y = x - 314 - u, -2659 = -4*y + x. What is the hundreds digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 7\/3 (b) 3\/22 (c) 1 (d) 0.107 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 25678 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -321 + -190. Let s = -511.207 - u. What is s rounded to 2 dps?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 0.09.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3226*y - 39438 + 120664 = 837*y for y.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 7*r**2 - 4*r + 2. Let o(s) = s**3 + s**2. Let g(v) = k(v) - 3*o(v). Let f be g(2). Let a(x) = -x**3 - 6*x**2 + 2*x + 3. Determine a(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vnmnvannnnna. Give prob of picking 2 v and 2 n.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.42 - 0.9. What is k rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -341 - -345. Is g at most 2\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 187*c**3 + 6*c**2 - 448*c + 1320. What is b(3)?\nAnswer: 5079","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 146, 315, 560, 881, 1278, 1751, 2300?\nAnswer: 2925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 5.999999424. What is w rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 174163647?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of 0*t**2 + 1\/6*t**3 + 13 - 7*t. Let u(y) be the first derivative of h(y). Let k(q) = -q. What is k(u(i))?\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -31, 2031, -3\/4?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwdsowwwdws. Give prob of sequence sdsd.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2154493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*c + 2*c + 3*c + (2 - 6 + 0)*(-c + 4*c + 2*c) + 2*c + 0*c + 0*c - 7 + 7 + 5*c to the form n*c + t and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 240\/(-432)*(-135)\/(-10)?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3630?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 6. Let b = -1 - p. Sort b, -1\/10, 2 in descending order.\nAnswer: 2, -1\/10, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z + 2. Let s be f(2). Suppose 0 = -120*k - 118*k + 221*k + 51. Sort -4, k, 5, s.\nAnswer: -4, s, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u - 7. Calculate p(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-3))\/(4\/(-9))*6940\/(-1041).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/10*1*(-35)\/168*9.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h\/h**(2\/7)*h\/(h\/((h*h**(2\/69))\/h)) assuming h is positive.\nAnswer: h**(842\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -132 - 0?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4416 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1aa40 (base 12) to base 7\nAnswer: 223113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4\/95 - 67\/665. Let q = 0.0605 - -0.2395. Which is the third biggest value? (a) v (b) -2\/135 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 152 + 583. Suppose 3 = -4*y + y. Calculate the remainder when m is divided by (-2 - y)*(-7 + -30).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 15081*k**3.\nAnswer: 15081*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of b**9\/60480 - b**8\/5040 - b**7\/1008 - b**6\/144 + b**5\/60 + 3*b**2. Let o(c) be the third derivative of s(c). Calculate o(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 1:04 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 331270 and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 11:12 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -1115909711084 and 83.\nAnswer: -1115909711001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1061255, 1061161, 1061067, 1060973?\nAnswer: 1060879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3083461817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 4*b**2 - 2*b. Let r(y) = -y. Give d(r(c)).\nAnswer: 4*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*b - 9*b = 100. Suppose 0*w + 5*w - 218 = -4*x, b*w + 5*x = 220. Calculate the smallest common multiple of 35 and w.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q = -94 + 157 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(112))**2 + 0 + (sqrt(63) - (-2 + sqrt(63)))**2).\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 17*n + 33. Give s(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 984 is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1331) - (5 + (sqrt(1331) + 1 - sqrt(1331))))*6)**2.\nAnswer: -4752*sqrt(11) + 49212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xq when two letters picked without replacement from stsqxqxxqsqss.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -20255150?\nAnswer: -20255154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-156)\/104)\/((-15)\/(-8)*2)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/(-12)*-3*6. Let v be 7\/x*(-18)\/(-2). Suppose -r = a - 4, -29*a - 4 = -33*a + 2*r. Solve -v*f + 10 = 2*f - 3*t, -3*t = -a*f + 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15286 - 2407?\nAnswer: -17704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of p**5\/30 + 11*p**4\/24 + p**3 + 86*p**2. Let m be r(-5). Solve -5*n = 5*t - 5, t - 5*n + 0*n = m for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-68)\/(-51))\/((-8)\/18).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 774680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 is divided by (-9)\/(-2) + (-5)\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1040414124 (base 5) to base 15.\nAnswer: -300529","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 4917?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**2 - 2*i + 3. Let t(c) = 82 + 0*c + 82 - 168 + 3*c - 3*c**2. What is -4*t(r) - 5*z(r)?\nAnswer: 2*r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (41 - (-24 - -56)) + (-1 - 8) + 141 + 2?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 572268 divided by -44\nAnswer: -143067\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1002 - -1027. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 377876?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -675 (base 10) to base 16.\nAnswer: -2a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*q - 104. Let s(h) = -2*h**2 - 6*h - 18. Let p be s(-5). Let y = 66 - p. Calculate the remainder when y is divided by q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 - -26. Suppose 16*u - 189 = 3. What is the remainder when u is divided by 30\/q*(-8)\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*g**4*o + 4*g**2*o + o - 41 wrt g.\nAnswer: 8*g**3*o + 8*g*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.63237 - -680.\nAnswer: 682.63237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 5*g + 3, 61 - 97 = 2*g + 5*b for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 5. Let l(z) = -z**2 - 5*z + 3. What is the units digit of l(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 6:47 AM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 - 2)*((-c - 65*c + 13*c)*(1 + 1 + 0) + (-c + c + 2*c)*(0 + 3 - 2) - 5*c + 3*c - 2*c) to the form f + g*c and give g.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -77 or 5.880908?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.111*5.\nAnswer: 25.555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.798 or 26612?\nAnswer: 26612","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68669208?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.02 (b) -1 (c) -452\/5 (d) -2\/139\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-819)\/(-42)*128\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 107660*t**2 + 293793*t wrt t.\nAnswer: 215320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1934 + 1952. Solve 4*c + i = 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 550*a - 10465. Calculate x(19).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -37.82?\nAnswer: 7.564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/213 in 2, -5, 1.22, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3582321 and 4.\nAnswer: 14329284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of 1897*h**6\/120 + 317*h**5\/30 - 1862*h**2. Find the third derivative of i(k) wrt k.\nAnswer: 11382","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2693\/35 - -77. Sort f, 0.3, -1\/6 in ascending order.\nAnswer: -1\/6, f, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*m + 8 = -47*m. Suppose 144 = m*w - w. Suppose 14 = 2*a - 5*x, x = -3*a - 0*x + 38. What is the highest common divisor of a and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 divided by -80?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -41791, -83717, -125643, -167569, -209495?\n\"Answer: -41926*z + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63967 = 1479*t - 52874 for t.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -74, 4.1, -1, 27.1, -5, 2 in increasing order.\nAnswer: -74, -5, -1, 2, 4.1, 27.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or 46?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 7*r**2)*(2*r - 2*r + 2*r) + 0*r**2 - 2*r**3 + 0*r**2 + (-2*r**2 - 5 + 5)*(r + r + 0*r) + (-2*r**2 + 1 - 1)*(r + 1 - 1).\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -11. What is the common denominator of (-110)\/(-12) - i\/(-12) and 77\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*f**6*t + 365*f**6 + 5*f**3 - 1376723*f**2*t + 2*f**2 wrt f.\nAnswer: -360*f**3*t + 43800*f**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 222\/(-38) + 113\/(4294\/228)?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*a**2*v**2*w**2 - 96*a**2*v*w**3 + a**2*w - a**2 - a*v**2*w**3 + v*w**2 wrt w.\nAnswer: -576*a**2*v - 6*a*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -51.2149 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-6)*k**(-2\/65))\/(k*(k*k**2)\/k*k**19*k))**(4\/9) assuming k is positive.\nAnswer: k**(-2516\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-9) + (-464)\/(-261))\/(5 + (-801)\/135)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11.74 + -12. Let b = j - -0.16. What is the third smallest value in b, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3755818334.\nAnswer: 2, 89, 21100103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62, 60, 58?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 3:56 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 460560 a multiple of 534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-17240)\/18964*33\/(-75)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**3 - 271*d**2 + 136*d = 0.\nAnswer: -136, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-5) + (-336)\/240. What is the third biggest value in 7, a, -1\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 0.3, 0.04, 1\/1825, -1\/2.\nAnswer: -1\/2, -2\/5, 1\/1825, 0.04, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s**2 + 17*s + 11. Let x be b(9). Let l(j) = -4 + 0 + 7*j + 2. Let y be l(x). Solve p - 20 = -5*n, 0 = -3*n + 3*p + p + y for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -909*k**4 + 32?\nAnswer: -3636*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 50*h**2 + 40. Let q(k) = 4*k. Determine z(q(t)).\nAnswer: 800*t**2 + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (1 + 9 - (-23 + 39 + -20 + -6)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 16 = 3*s. Let g(x) = -4*x. Does 8 divide g(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 16. Suppose 0 = -4*k + 4*f + x, 2*f + 3*f = 4*k - 5. Solve -5*d + k = 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 12561*a**2 + 159*a + 318. Let p(g) = -159*g**2 - 2*g - 4. Calculate 2*f(j) + 159*p(j).\nAnswer: -159*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 150814 or 150726?\nAnswer: 150726","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 1 + 3)*(-a**3 + 5*a**3 - 2*a**3)*(0 - 2 - 2*a**2 + 1).\nAnswer: 16*a**5 + 8*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1036 less than or equal to -644.74?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 - 1)*(-6819*n**5 + 11733*n**5 - 6688*n**5).\nAnswer: 8870*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 78299\/24210 + -2\/2421. What is the common denominator of -113\/10 and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 13, 32, 59, 94?\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-494 + 436 - (-4 - -3 - (4 - 0))) + 8.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**3 - i**3 + 0*i**3 + (-i + 3*i + 0*i)*(-2*i**2 + 4*i**2 - 4*i**2) + 10*i**3 + 10*i**3 + i**3.\nAnswer: 16*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209*u + 36 = -200*u. Let k(j) be the third derivative of j**6\/120 - j**5\/30 + 7*j**4\/24 - j**3 + j**2. List the prime factors of k(u).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -34, 133, 1\/6, 2, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6253?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + 2*b + 82. Let z be 0\/((3 - 2)*-2). Is m(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**2 - 6*a**2 - 9*a**2 + (3*a - a + 0*a)*(4*a + a - 2*a + (-1 + 2 + 1)*(0*a - 2*a + 0*a)).\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 19536 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -2\/7, 2\/11, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -135196, -540560, -1216088, -2161774, -3377612?\n\"Answer: f**3 - 135088*f**2 - 107*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 3*p - 3*p)*(-3 + 1 + 3)*(0*p**2 + 2*p**2 - 4*p**2).\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-14) + 12\/(-7). Let p = 0 - z. Suppose -p - 13 = -3*o. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 17, 52, 111, 194, 301?\n\"Answer: 12*x**2 - x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-8))**28*(n**(-4\/5)\/n)**(1\/4))**(-11) assuming n is positive.\nAnswer: n**(49379\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -241+-105.34\nAnswer: -346.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 38414.\nAnswer: -1\/19207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/80 and 157\/60.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cr when two letters picked without replacement from {k: 3, c: 1, r: 2, z: 4, l: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154 + 26837*v**2 - 26835*v**2 + 131.\nAnswer: 2*v**2 + 285","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1302 and 84072.\nAnswer: 588504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - 20. Let a be k\/(-9) + 4\/(-6). Suppose -a*s + 5*s = 30. Solve 0 = 2*i - 7*i + s for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -11*t**2 + t - 5. Let b(a) = -6*a**2 + a - 3. Let w(c) = 5*b(c) - 3*y(c). List the prime factors of w(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -164*q**5 + 1279*q**2 - 1279*q**2 - 2*q**2 + q**5 + 2*q**2 + (-q + 2*q**2 + q)*(-q**3 - q**2 + q**2) - 3*q**4 - 2 - 4*q**5 + q**4 + 0*q**4.\nAnswer: -169*q**5 - 2*q**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - t**2 - t - 1. Let d(s) = 35*s**3 - s**2 + 15*s - 19. Let w(k) = d(k) + 4*g(k). Is w(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 3:48 PM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -33*t**2 + 21*t - 21. Let s(o) = -8*o**2 + 5*o - 5. Determine -21*s(i) + 5*u(i).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 5. Suppose u = x*i + 23, -3 = i - 0. Solve -a + u = -3*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -1 (c) 9 (d) 1.5 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of 12 + 6*i**2 - i**3 + 12*i - 3\/4*i**4. Factor y(q).\nAnswer: -3*(q - 2)*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11010111011 (base 2) to base 5.\nAnswer: 23343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hvvv. Give prob of sequence vh.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*k**2 - 34*k**2 - 234*k**2)*(-5 + 5 + 2) + 3 - 6 + 14*k**2 - 12*k**2.\nAnswer: -602*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -923*h - 59. Let m(d) = 464*d + 28. What is 7*m(w) + 3*s(w)?\nAnswer: 479*w + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of q**4\/36 - 5*q**3\/18 + q**2 + 34*q. Factor k(x).\nAnswer: (x - 3)*(x - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210 is divided by ((-44)\/(-10) - 4\/10)*(-985)\/(-20)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -6*x - 94. Let c be h(-17). What is the units digit of 6\/c + (-9615)\/(-60)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 p when three letters picked without replacement from pppqc.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/12, 4\/9, -155, -9?\nAnswer: -155","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of 0*q**5 + 0 + 0*q**2 - 1\/105*q**6 + 0*q**3 - 7*q + 1\/42*q**4. Suppose d(m) = 0. Calculate m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89 = 7*a + 51 for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 180 + -858474.838\nAnswer: -858294.838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**3 + b**3 + 12*b**3 - 17*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -41472\/11 - 1728\/11*v**2 + 96\/11*v**3 + 13824\/11*v - 2\/11*v**4.\nAnswer: -2*(v - 12)**4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104 + 112 - (13 - 1 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -345, -732, -1127, -1530?\n\"Answer: -4*i**2 - 375*i + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.026, -0.17, 4\/3, 0.2 in descending order.\nAnswer: 4\/3, 0.2, -0.026, -0.1, -0.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-7) + (-220)\/(-35). Suppose 0 = u + 4*j - 2, 3*u + 3*j - d = -2*j. What is the third derivative of -198*o**5 + 4*o**2 + 211*o**5 - u*o**2 wrt o?\nAnswer: 780*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 252*u + 4*u**2 - 250*u + 1 - 3*u**4 to the form p*u**2 + q + m*u**4 + f*u + v*u**3 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r*r\/((r\/r**(5\/8))\/r)*r*r))\/r**5)\/(r**(2\/7))**38 assuming r is positive.\nAnswer: r**(-1035\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17092257719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**4\/8 - 27*m**3\/8 - 53*m**2\/2 - 42*m + 72 = 0 for m.\nAnswer: -12, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -18262\nAnswer: 1826.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 153*v - 156*v - 12. Suppose -15 = 3*p - 0*p. Suppose 15 = -5*l - 0. Sort l, v, p in ascending order.\nAnswer: p, v, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.8 - -8.2. Let a = -2608261 + 2882128157\/1105. Let g = a + 6\/85. Put i, 0, g in decreasing order.\nAnswer: i, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u**4 - 4*u**4 - 2*u**4 + ((u**3 + u**3 + 0*u**3)*(1 - 1 - 1) - 3*u**3 + 6*u**3 - 4*u**3)*(u + u - u) - u**4 - 33*u**4 + 5*u**4.\nAnswer: -34*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*c - 537 = -35*c + 463 + 800 for c.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5*o = -11, f - 2*o = -7*o + 34. What is the third derivative of u**6 + f*u**2 - 27 + 7*u**6 + 27 wrt u?\nAnswer: 960*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -2*q**2 + 0*q + 1\/60*q**5 - 1\/3*q**3 + 0 + 5\/24*q**4. What is the remainder when 23 is divided by k(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62, -157, -258, -371, -502, -657, -842, -1063?\nAnswer: -1326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 - ((-5)\/1)\/((-9)\/387). Let j = 352 + l. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rt when two letters picked without replacement from rrrrrrqrrrqrrqt.\nAnswer: 11\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2583 and 1476.\nAnswer: 10332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240 is divided by 79?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, j: 8, z: 5}. Give prob of picking 2 r.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/11, 10, -0.2, -0.3 in increasing order.\nAnswer: -1, -0.3, -0.2, 2\/11, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - x + 0)*(0 - 2*x + 12*x + 2).\nAnswer: -10*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**2 + n**2 - 3*n**2 + 68*n**2 - 1618*n + 1618*n + (-4 + 2*n**2 + 4)*(-2 + 1 - 1) - 3 + 3 + n**2 as r*n + u*n**2 + s and give u.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 448477878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -2*v**3 + v**2\/2 + v - 1. What is i(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(-6*(sqrt(91) - (sqrt(91) - (2*sqrt(91) + sqrt(91)) - sqrt(91))) + sqrt(91)))\/(sqrt(14)\/(sqrt(22)\/(sqrt(66)\/sqrt(6))))*-6)**2.\nAnswer: 247572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7, l: 2, r: 4, v: 1, u: 2}. What is prob of sequence urvl?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o - 2*o + 38. Suppose -4*v - 3 + o = 0. Let z be ((-3)\/9)\/(2\/(-36)). Solve 4*a + 14 = -2*i, -a = v*i - z*i - 9 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 11*t**3 - 2*t**2 - 43*t - 16. Let o(n) = 137*n**3 - 24*n**2 - 518*n - 192. Let m(a) = -2*o(a) + 25*v(a). Give m(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2\/1182595, 0 in ascending order.\nAnswer: 0, 2\/1182595, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*m + 6552 = -103*m + 62*m for m.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -864558\/11 greater than 138?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 6*k + 1. Suppose -3*l - 24 = -11*l. Let z(m) = -3 + 7*m + 1 + 4. Determine l*z(j) - 4*i(j).\nAnswer: -3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -504705, -4.\nAnswer: -504705, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 24 + -20 + -5 - -19\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 4*c**2 + 204*c + 2376 = 0.\nAnswer: -33, -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 q, and 1 n when three letters picked without replacement from {q: 1, a: 4, t: 1, p: 3, n: 2}?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -156, -335, -514, -693, -872?\n\"Answer: -179*p + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -21*d**2 + 6*d + 1. Let a(f) = -19*f**2 + 7*f + 2. Let j(l) = 7*a(l) - 6*p(l). Let b(t) = 2*t**2 - 3*t - 2. Give 9*b(i) + 2*j(i).\nAnswer: 4*i**2 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 21. Let m = x - 10. Let f(a) = -a + 37. What is the tens digit of f(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 632221, 1264439, 1896657, 2528875, 3161093?\n\"Answer: 632218*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 462330, 462331, 462332, 462333, 462334, 462335?\n\"Answer: q + 462329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0 - -5) + -7)*(-1)\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 181, 354, 537, 736, 957, 1206, 1489, 1812?\n\"Answer: w**3 - w**2 + 169*w + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 + (23 + -67 - 42)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1955 is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 3*n**2 + 6*n - 6. Let v be s(4). Let r(o) = 5*o**2 + o - 2. Let z be r(-2). Solve -3*t = 4*l - z, t = v*t for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2794 and 586 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -1 - 2*u + 3*u - u**3 + 4. Let a be x(0). Solve a*n - 6 - 9 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 3:13 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 320928, 320971, 321012, 321051, 321088, 321123?\nAnswer: 321156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 465381150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163*t - 918 = -3*q + 164*t, -2*t = -4*q + 1224. Calculate the least common multiple of 90 and q.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.2 - 6.86. Let z = 1.03 + -0.77. Let i = w + z. What is the nearest to 3 in i, -3\/7, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of 5*y**9\/252 + y**5\/20 + 7*y**2\/2 + 4. Let n(u) be the second derivative of r(u). Find the third derivative of n(c) wrt c.\nAnswer: 1200*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((210\/(-40))\/7)\/(3\/(-8)). Let q = 100 + -100. Factor -2\/7*t + q + 0*t**3 + 2\/7*t**5 - 4\/7*t**d + 4\/7*t**4.\nAnswer: 2*t*(t - 1)*(t + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - i + 2 - 5, 12 = 2*u - 4*i. What are the prime factors of 3 - (-10 + (3 - u))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44 - -74. Let o = -1962292.855 - -1962322.85500278. Let n = q - o. Round n to 7 dps.\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 39.73 and 32.\nAnswer: 1271.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169637 is divided by 1475.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -3, -12, 21493, 4.\nAnswer: -12, -3, 4, 24, 21493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - -2 - (207 + -202)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -262, -2220, -7584, -18058, -35346, -61152?\nAnswer: -97180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -n**5\/30 - n**4\/12 + n**3\/3 - n**2 - 4632*n + 5. Let w = 4 + -6. Calculate i(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 168333411378 + -3713.\nAnswer: 168333407665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2944 and 177008.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 405735585?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010006554675 rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -119 + 0*m + 2\/27*m**3 - 5\/9*m**2. Suppose l(r) = 0. Calculate r.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -3*f**2 - 28948008*f - 69832263930672 = 0.\nAnswer: -4824668","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r - 9. Let q be h(-12). Suppose -2*b + 4*j = 222, -q*j = 3*b + 194 + 184. What is the units digit of -5 - (-2 + 1) - b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4.3 in -0.2, -0.5, 2\/49?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 b when two letters picked without replacement from {b: 8, r: 4, h: 8}.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.7 + 11. Let g = w + -4.491. Round g to two dps.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 2530 = 2170. Is x a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 386.486 - 387. Let u = g + -0.012. What is u rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 286\/2145 - 1\/((-15)\/43).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -14*o**4 - 26*o**3 - 126*o**2 + 204*o + 278. Let g(j) = -4*j**4 - 9*j**3 - 42*j**2 + 68*j + 93. Let s(l) = 20*g(l) - 6*m(l). What is i in s(i) = 0?\nAnswer: -3, -1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**5 + 20*n**4 - 30*n**3 - 80*n**2 + 88*n = 0.\nAnswer: -11, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j**4 + 48428*j**3 - 111167796*j**2 + 222190292*j - 111070928 = 0.\nAnswer: -14081, 1, 1972","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 7337322 (base 9) to base 12\nAnswer: 1391a0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -52*c. Let o(s) = -5793*s**2 - 2. Determine o(y(g)).\nAnswer: -15664272*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of w**3\/3 - 2*w**2 + w + 7527. Let q be ((-10)\/(-2))\/(1 - 0). What is j(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 10*p + 5. Let h be v(9). Let n be (1 + h\/(-6))*(-9)\/6. Solve -n*y - 3*j = -4*j - 5, 0 = -2*j - 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 289\/3 + -95. Let h = -687 - -684. Which is the closest to 0.2? (a) h (b) d (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.36 + -3.74. Let v = x + 4.3. Suppose 4*d = -4*j - 36, -3*j = 4*d + 3 + 29. Which is the third biggest value? (a) v (b) d (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 - -37. Let q(z) = z**2 - 4*z - 5. Let h be q(k). Let p = 298 + -295. Solve -p*m + 8*m - 15 = h for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 4:01 PM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.2 + -22.8. Let c = 5 - o. Suppose 4*r - 2*w = -12, 0 = -3*r - 108583*w + 108587*w - 39. Put r, 0.4, c in increasing order.\nAnswer: 0.4, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-648357)\/6*-8*(-23)\/(-92) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-12) + -5 + 35\/10. Let k = -2\/39 + 125\/156. What is the fourth smallest value in j, 0.2, k, -4\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in d**2\/4 + 197*d\/2 + 196 = 0?\nAnswer: -392, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p + 7*p**2 - 3*p + 10*p.\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**2 - 47*q + 2*q**2 + 25 - 25 + 16*q + 15*q.\nAnswer: -q**2 - 16*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*v = 74*v + 168 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 16 and -10771834.4.\nAnswer: -10771818.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004241363 to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 + 4)*(2*r + 4 - 4)*(7*r**2 - 6*r + 6*r)*(1 - 3*r - 1).\nAnswer: -336*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -4*j**3 - 1088*j**2 + 46*j + 12507. Let s be t(-272). Let a(w) = 6 + 4*w + 1 + w. Determine a(s).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1 + sqrt(1573) - sqrt(1573))**2 - (1*sqrt(13) + -3 + -5).\nAnswer: -sqrt(13) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (11\/((-528)\/3))\/((-1)\/(-6))*(-1530)\/(-1377)\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + 8. Let t(p) = 10*p + 10*p**3 + 414 - 11*p**3 - 5*p**2 - 400. What are the prime factors of t(v)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5876071753805 less than 18?\nAnswer: 5876071753823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 80 = -l - 451, 3*f = 5*l + 1603. List the prime factors of f.\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -317 - -541. Let z = s - 128. Does 21 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3394 + -3302 - 74\/1 - (-356)\/(-18)\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and -184.46353904613?\nAnswer: 181.46353904613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -730 - -730. Does x = 4\/1993?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1093651 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 1*-12*(-5 + (-80)\/(-24)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1, 0.4, 14\/5, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbggbbb. What is prob of sequence bbb?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(3\/7)\/z)\/z**2)**(2\/5)\/(((z**(-1)\/z*z*z)\/z)**(-1\/31))**44 assuming z is positive.\nAnswer: z**(-2656\/1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 196.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3305 and 4?\nAnswer: 13220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-233)\/(-4) - 1)\/((-3)\/(-276)). Suppose -18*w + 16*w + d = 5*j, 4216 = 4*j + w. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**2 - d - 7. Let l be x(-3). Let a = 8626 - 8626.1. What is the second biggest value in l, -1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*q**2 - 84 + 2*q + 84 - 6*q**3 + 13*q**2 + 11*q**2 as x + i*q**2 + d*q + r*q**3 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + p**2. Let z(t) = -t**3 - 4*t**2 - 2 - 6*t**3 + 19*t**3 - 7*t**3. Determine 6*m(j) + z(j).\nAnswer: -j**3 + 2*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 73659667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - l = 18. Let s be ((-20)\/8 - -3)*l. Put s, -3, -9 in increasing order.\nAnswer: -9, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 219.262 + -1?\nAnswer: 218.262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 751478 to the nearest 1000.\nAnswer: 751000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -773 - -3319. Suppose -i = -15*n + 1444. What are the prime factors of n?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.085 - 348\nAnswer: -344.915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 181756087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 + 7 + (131 - 45) + -74?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 28*i - 6. Let g(w) = 1186*w + 17 - 1081*w - 190*w. What is -4*g(q) - 11*p(q)?\nAnswer: 32*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 6026.314 to 0 dps.\nAnswer: 6026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8970 to the power of 1\/2, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + (-1)\/(-2))*-10. Let f be (-4 + d)\/((-2)\/(-66)). Suppose 5*p + 9 + f = 3*o, -2*o + 28 = 5*p. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -68*m + 692. Is s(-6) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**2 + 57*f - 4. Give t(-28).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, -196, -4, 152, -12 in decreasing order.\nAnswer: 152, 31, -4, -12, -196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 574 is divided by 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 5 = f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) - sqrt(2178)*-2)\/(1*(sqrt(9) + 2*sqrt(9) + sqrt(9))) + (sqrt(162) + 2)*2*-2.\nAnswer: -121*sqrt(2)\/4 - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 61 by -5.\nAnswer: -61\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198 = -190*o + 184*o. Suppose 38*q - 3840 = o*q. Does 32 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -447 by -3.\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3503 = 3*p, -8*r = -5*p - 6*r + 5833. What is the remainder when p is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*m**3*u - 3*m**2*u - 456*m**2 + 2*u + 906 wrt m?\nAnswer: -6*m**2*u - 6*m*u - 912*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002223 to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*t - 9276 + 1376. What is the tens digit of 17890\/22 - (-7 - t\/110)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 3*o**2 - 3*o - 2. Suppose -2*x + 162 = 3*i, 0 = -5*i + 7*i - 3*x - 121. Let m = i - 58. Determine s(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 492687912?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 5 = 16. Let b(f) = -f**3 - 8*f**2 - 14*f - 4. Let j(u) = 3 - 3 - 13*u - u**3 - 8*u**2 - 3 - 2. Let x(v) = 5*b(v) - 6*j(v). Calculate x(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vnddnndndhohdonndn. Give prob of sequence vh.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 236 + 387 = 7*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2975914, -2975909, -2975906, -2975905, -2975906, -2975909, -2975914?\nAnswer: -2975921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/21 (b) -1071 (c) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let q be (-255)\/3060 - 1\/(-12). Let p(g) be the first derivative of 28*g + q*g**2 + 25\/3*g**3 - 33. Find the first derivative of p(m) wrt m.\nAnswer: 50*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 45412667 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -74*x + 72*x. Sort 1, 0, -32, x in increasing order.\nAnswer: -32, 0, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 - 6. Suppose -4*z + 346 = 90. Let n = z - k. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6704424?\nAnswer: 2, 3, 31039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/3 + 18*o - 36.\nAnswer: -2*(o - 3)**2*(o + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 487 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: Calculate the greatest common factor of 2328174 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 116558 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 + 7*m - 44 + 16 + 20 to the form a*m + u and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -174 (base 16) to base 14.\nAnswer: -1c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 4. Let t = -0.0952 - -95.8952. Let d = t + -96. Which is the closest to d? (a) -2\/9 (b) m (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x*x**(1\/4)))**(-48)\/(x*x*x**(1\/5)\/x)**(-3\/22))**25 assuming x is positive.\nAnswer: x**(-9855\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5\/34, 1, 1\/3 in descending order.\nAnswer: 1, 1\/3, -5\/34, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -10*m**2 - 44*m + 70 - 41*m + 85*m. Let f(c) = 8*c. Calculate a(f(h)).\nAnswer: -160*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*l + 16232 - 16367, -5*c + 5*l - 250 = 0 for c.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/7 + (891\/(-210))\/(-33)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1421582 is divided by 651?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -3*n**2\/2 - 9*n + 157. Let z be 1 - (5\/1 + 2). Determine a(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -286, -562, -826, -1072, -1294?\n\"Answer: p**3 - 283*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-256)\/12)\/(6\/(-18)) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6645*-0.3\nAnswer: 1993.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/(-5))\/((-15 - -3)\/(15\/2))?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-3\/2)*(o*(o\/(o\/(o*(o**(-6)\/o*o)\/o)))\/o*o)\/o)\/(o**(-5)*(o*o**0)\/o))**(-15) assuming o is positive.\nAnswer: o**(75\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 526 = 18*q + 238 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 + 3125463?\nAnswer: 3125474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 18204*g - 2649*g - 5207*g - 23565*g.\nAnswer: -49625*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-254760)\/(-13510)*(-21)\/(-12).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6775 by -1355.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/285 and -93\/722?\nAnswer: 10830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 1193 = 1299. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 577 divided by 46071.\nAnswer: 577\/46071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**2 + 4*q + 65. Determine d(-9).\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.17118389 to 2 dps.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*g = -25*g + 1920 + 197 for g.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -270a - -4bc?\nAnswer: -221b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5553513 (base 6) to base 15.\nAnswer: -57c1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 k when three letters picked without replacement from {k: 7, g: 9}.\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {l: 1, c: 17}.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.15613ug in nanograms?\nAnswer: 34156.13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + 1.9. Let a = -2 + p. Sort -0.3, 2, a in decreasing order.\nAnswer: 2, a, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -15. Suppose 0 = z*j + 12, j + 0*j = 3*a - 15. Let r(d) = d**3 - d**2 + 2. Let t be r(0). Solve -a*g = -4*c + 36, -4*g - t*c = -5*c + 32 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 6*d - 2. Let k be z(5). Let v(p) = p**3 + 2*p**2 + 2*p + 6. Let w be v(k). Suppose -4*m = -i - 2*i + 176, 0 = -i + 3*m + w. Does 13 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 - -22) + (-1 + 1 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mqkkkmmkmkm. Give prob of sequence mq.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 9*i. Let c be w(6). Suppose j = 5*t - 281, 0 = t + 3*j - 19 - 34. Suppose -11*k = -10 - t. What is the greatest common factor of k and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s - 2*x, 2*s - x + 2 - 9 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3*c - 3*z - 94 = 0, 84 = 4*c + 2*z. Suppose -f - c = -6*f. Solve 0*m + f*m + 30 = -5*v, 3*v = -4*m - 26 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5435167\/63 + -86284. Let t = 107\/7 + u. What is the common denominator of t and 42\/(-156)*(0 - -4)?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.038 and 582843?\nAnswer: 582843.038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 137477 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d + 32 = 22 + 65. Sort d, 6, 2, 50.\nAnswer: d, 2, 6, 50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**2)**(-5)*x**(5\/2)*x**2 assuming x is positive.\nAnswer: x**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -d**4\/12 + 5*d**3\/6 + 2*d - 73. Let z(s) = s. Determine 2*r(o) - 10*z(o).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of o**3*q - 32635465*o**3 - 4600727*q**2 wrt q?\nAnswer: o**3 - 9201454*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22398?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 87240495 to the power of 1\/2, to the nearest integer?\nAnswer: 9340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vn when two letters picked without replacement from vnln?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0.02, 2\/7, -2280?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23266392*c**3 - 2*c**2 + 13377684?\nAnswer: 139598352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*2\/154*-2.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(((-1)\/(-6))\/1). Let w = i - 16. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g + 5 - 2*g + 5*g + 0. Let f(c) = 9*c + 7. Let l(h) = 5*f(h) - 7*q(h). Let w(v) = -5*v. Give w(l(j)).\nAnswer: -15*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -106 - -178. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = n - 8. Suppose -n*c - 5*m - 585 = 0, 5*m + 233 = -4*c - 237. Let h = c - -116. Which is smaller: 1\/30 or h?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 203 - 211 = 0. Solve -b*i + 4*m - 1 + 5 = 0, -3*i = 4*m - 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/(-1) + 21\/(-4). Sort -0.2, 5, 4\/5, i in ascending order.\nAnswer: i, -0.2, 4\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 683997901 to the nearest integer?\nAnswer: 26153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -330*n**2 + 284 wrt n.\nAnswer: -660*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -223191*p + 245913 with respect to p.\nAnswer: -223191","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126 + 204 = -38*w + w + 633 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 5*w + 19, -t - w = 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + (-32 - -14) + -1 - -18.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 88\/585 - 2\/117. What is the third smallest value in -2, g, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 9 = -2*y, 0 = -2*y + 19*r - 1200 + 1109 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + r + 56 = 95, 94*k = 2*r - 342 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 194*w - 436*w**2 + 432*w**2 - 194*w - 5.\nAnswer: -4*w**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 60*t**2 - 55*t - 743. What is the tens digit of v(-28)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1562166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 499658*p**4 - 88*p**2 + p + 8595.\nAnswer: 11991792*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (20\/3)\/((-120)\/(-180)). Suppose 0 = s*q - 6045 - 875. List the prime factors of q.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -714 - -717. Let u = -359\/3 - -121. Sort -0.3, u, -0.2, o in descending order.\nAnswer: o, u, -0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -111, -128, -129, -132, -155, -216?\n\"Answer: -3*p**3 + 26*p**2 - 74*p - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -176*q + 6. Let b(f) = -12848*f + 440. What is 3*b(n) - 220*c(n)?\nAnswer: 176*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8629\/15 - -575. Let t = -29\/4 + 153\/20. Which is the biggest value? (a) 4\/7 (b) t (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 21 = 3*t - 12, 0 = -3*f + 4*t - 5 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*w**2 - 5 + 5 - 121*w**2.\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 18*i - 17*i, -4*w = i - 462. Calculate the remainder when 688 is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 3*q - 15 = 0, 0*x + 5*q = -5*x - 15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**4\/13 + 16056*u**3\/13 + 32384552*u**2\/13 + 49452480*u + 246646400.\nAnswer: 2*(u + 10)**2*(u + 4004)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -554 divided by 2?\nAnswer: -277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 7\/2 (b) 3\/5 (c) -1 (d) 0.577\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -62 - -59. Put v, -5, 1\/2 in decreasing order.\nAnswer: 1\/2, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92862?\nAnswer: 2, 3, 7, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -7047*s**3 - 270*s**2 - 270*s - 1. Let l be u(-1). Is 7045 at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d**(-10)\/d)))\/d)\/(d**(-2\/11)*d) assuming d is positive.\nAnswer: d**(-141\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3255107 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + t - t)*(0 + 0 + 2*t) + 2*t**2 - 7*t**2 + 11*t**2.\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.24*-3.\nAnswer: -0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**4*p))\/(p*p**22))\/((p\/p**4)\/p*p*p*p**(-1\/27)\/p) assuming p is positive.\nAnswer: p**(-647\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8429287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-9)\/6)\/(9\/(-84)). Suppose 3*m - m - 3*r + v = 0, 13 = -m + 3*r. What are the prime factors of (-18)\/(-2) - (m - 0)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-1)*f)**(-4)\/(f\/(f**(1\/3)\/f))**28 assuming f is positive.\nAnswer: f**(-152\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -4*d + 13. Let a(g) = 3*g - 1 + 7*g - 9*g. Let k(f) = 6*a(f) + o(f). Calculate k(-9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -11. Suppose 10 = -5*o - 5*y, 0 = -3*o + 2*o - 5*y - 10. Let n = -9 - -15. Solve o = -n*r + s*r - 12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16269 and 41673.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 10*f**2 + 6*f - 20. Let s(o) = o**2 - 9*o + 24. Let k be s(7). What is the tens digit of x(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 457.5 + -457. What is the fourth biggest value in -60, -5, 5\/6, l?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -1. Let d = t + 4.4. Put 3\/4, d, -0.5 in descending order.\nAnswer: 3\/4, d, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -25 + -805 + 804?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*x = -20. Suppose -x = -3*y - 19. Sort -3, y, 3 in ascending order.\nAnswer: y, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 77737 and 50424.\nAnswer: 1865688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*a**3*t**3 + 216*a**3*t**2 - 236*a**2 - 2*a*t**2 - 5*t**3 wrt a.\nAnswer: -18*t**3 + 1296*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*y - 2*y**2 - 174*y - 92*y as u + s*y**2 + l*y and give l.\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -26220 and -1.\nAnswer: -26221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((440\/48)\/55)\/((-2)\/228)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58430793.\nAnswer: 3, 19476931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-7)*(-1883)\/(-2421))\/(6\/18)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 2*s - s - 33, 3*i = 5*s + 19. Suppose i*v + 0*v = -808. What is the tens digit of v\/2*-4*(-3 - -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(114) - sqrt(114)*-1)*-2)\/(sqrt(72)\/(sqrt(24)\/sqrt(2) + sqrt(12))) - 6*sqrt(190)\/(sqrt(10) - 2*sqrt(10))*6) + 4 + 1.\nAnswer: 5 + 28*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 376.2993 and 1.3?\nAnswer: 374.9993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 12*m**3 + 2*m**2 + 2*m + 17. Let l(f) = 61*f**3 + 11*f**2 + 11*f + 85. Calculate -4*l(n) + 22*x(n).\nAnswer: 20*n**3 + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -0.0369.\nAnswer: 0.01476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/4)\/(51\/68). Suppose -w*r + 0*r + 504 = 0. Suppose -57 = 5*i - r. Is i a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(100\/(-32)))\/(6\/15).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*a**2 - 68*a + 68*a.\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17.66 + -15.66. What is the closest to -2\/7 in -5, n, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 5437*w**2. Let t(j) = 4*j. Determine t(i(a)).\nAnswer: 21748*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**3 + z + 1. Let f(b) = 12*b**3 - 60*b**2 + 180*b + 4. Let a(n) = f(n) - 4*x(n). Determine g so that a(g) = 0.\nAnswer: 0, 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (189\/45)\/(396\/3520)*(-6)\/4?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.04 (b) 5 (c) 1\/3 (d) -9 (e) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3858.1 - -3290. Let k = v + 568. Which is the second smallest value? (a) 5 (b) k (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -m**5\/60 - 603*m**2 + m - 2. Let z(j) = 14147*j. Determine u(z(f)).\nAnswer: -200137609*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -26*d**2. Let w(v) be the third derivative of 0*v**3 + 0*v + 0*v**4 + 0 + 1\/20*v**5 + 8*v**2. What is z(w(s))?\nAnswer: -234*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 30\/9*(-3)\/(-2). Let b(g) = g**3 - 11*g**2 + 5*g - 35. Let z be b(11). Solve -2*a - a = 2*o - 5, 0 = v*o - z for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -291495, -291490, -291473, -291438, -291379, -291290, -291165?\nAnswer: -290998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -378*m**2. Let z(o) = o**2 - 2*o - 3. Let v(y) = 12*y**2 - 18*y - 27. Let x(d) = -v(d) + 9*z(d). Determine x(p(u)).\nAnswer: -428652*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7 or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1240673 - 4343596210\/3501. What is the common denominator of 61\/778 and k?\nAnswer: 7002","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37792555?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.09 + -3.91. Let o be 2\/(-7) + 900\/14. Let j be o\/132 - 6\/(-33). Sort m, j, 0.1.\nAnswer: m, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 6*l**2 + 11*l - 11. Let x(f) = f**2 + f. Let o(s) = q(s) - 3*x(s). Let m(h) = -h**2 - 3*h + 4. What is 11*m(w) + 4*o(w)?\nAnswer: w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.53 - -2.8. Let c = -1.26977 + v. Round c to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of 37*m**2\/2 + m - 2. Let a be j(1). Let v = -15 + a. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -780.04 - -780.04. Let w = -5822\/16071 - 2\/1461. Which is the third biggest value? (a) l (b) w (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of 3*x - 2*x**3 + 0*x**2 - 6 + 0*x**4 + 3\/5*x**5. Let o(r) = 0. What is r?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5770 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 580 divide 877159520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 13\/8 of a gram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1175*p + 7989*p + 170350 = 0 for p.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7349742 to the nearest integer?\nAnswer: 2711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 16*q**2 - 21*q + 53. What is the hundreds digit of p(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 j when two letters picked without replacement from jmggwjg.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-70)\/(-21))\/(-5)*(-6)\/(-20)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -83, -90, -113, -158, -231, -338, -485?\nAnswer: -678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*a**4 - 8 + a + 3 - 3 - 300345*a**2 + 300344*a**2 - 3*a**3 to c + b*a**2 + g*a + p*a**3 + w*a**4 and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-14))\/((-160)\/224)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-27)\/(-18) + (-2)\/1. Let d be 8 + -6 + 10\/(-8). What is the closest to -4 in -3, d, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -5*f**3 + 100*f**2 - 95*f = 0?\nAnswer: 0, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -54744377 (base 8) in base 16?\nAnswer: -b3c8ff","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -14*d + 63. Suppose 0*o + 16 = 4*o. Let k be s(o). Solve -4*u = k + 1 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*i + 4370 = 350*i for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 312, 1245, 2800, 4977, 7776?\nAnswer: 11197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 241.756 - 246.8. Let o = t - -0.044. Let y = -358\/1727 + 4\/157. What is the second biggest value in y, o, 22?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 16 = -4. Let d be 2*i\/9*-54. Suppose 2*p - d = -3*b, -2*p - 5*b = -26 - 18. What is the remainder when 23 is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 877963\/8610 - 4147\/41. What is the common denominator of -107\/42 and b?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 4*d**3 + d**2 + d. Let g be c(-1). Let y(a) = 11*a**2 - 3*a - 2. Let j be y(g). What is the remainder when 53 is divided by 18\/(-30) + j\/10?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.23 + 0.07. Let c = -1.2 + a. Let t = c - 1.106. What is t rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 9*b**2 + 7*b + 5. Let d(w) = w**3 - 5*w**2 + 3*w + 1. Let o be d(3). Is x(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - 2. Let i(v) = -v + 4. Let m be i(r). Let u = -4 - -52. What is the highest common divisor of u and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12897532*u**3 + 5042352 wrt u?\nAnswer: -38692596*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 13 + 2. Find the third derivative of 2*u**2 + 0*u**o - 3*u**2 + 7*u**5 + 5*u**2 wrt u.\nAnswer: 420*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40228 is divided by 1058?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 48, 55, 62?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27*m**2*n**2 + 639505*m**2 - 516*m*n**2 - 19*n with respect to n.\nAnswer: 54*m**2*n - 1032*m*n - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - -2. Let c be 138\/n + 3\/(-4). Let y = 8 - c. Solve -13 = -y*p - m - 3*m, 5*m = 20 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 723*v + 450*v - 50254 = 27164 for v.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -30. Suppose 0 = 3*f + 4*j - 14, a = -f + 4*j + 1. Let x = f + 4. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, -2443, 56, -3\/4, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/1650 and 79\/330?\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1959600946.\nAnswer: 2, 599, 1635727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 28 = -2*c, 0*c + 5*c = l - 1. Suppose -t + 515 = 2*h, -l*t + 2*t + 2069 = -h. Suppose -464 = -4*m - 4*k, -5*m + 75 = 2*k - t. Does 24 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 278064 - 278059. Determine d so that 2\/3*d**r - 2\/3 - 1\/6*d**4 - 10\/3*d**3 + 8\/3*d + 5\/6*d**2 = 0.\nAnswer: -2, -1, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-4))\/((-33)\/(-22)). Let t = 3 + -3. Which is the third smallest value? (a) t (b) i (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011110111000110101010111 - 0?\nAnswer: -10011110111000110101010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 2:59 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 - i**2 + 0*i**2)*(2*i - 6*i + 3*i) + (2*i - 2*i - 2*i**2)*(-12 + i + 9 + 4) - 101*i**3 + 165*i**3 + 20*i**3.\nAnswer: 83*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1385*i + 1461*i + 228 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**2 + 30*t. Let j(x) be the third derivative of x**5\/60 - 108*x**2. Give c(j(b)).\nAnswer: -2*b**4 + 30*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-64)\/(-6))\/((-28)\/(-42)). Let l be 12\/6 + c\/(-9). Let o be (8\/(-22) + 0)\/2. What is the biggest value in 0.08, o, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/6)\/1)\/((-3)\/((-990)\/20)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3620696571?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -11?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 5*p**3 - 7*p + 11. Let h(x) = -2*x**3 + 3*x - 5. Let i(l) = 3*d(l) + 7*h(l). Let j(z) = z**2 + 2*z. Let c be j(-2). Calculate i(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/2*83\/((-14193)\/38).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6330000 rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**2 + 35*k + 264 = 0. Calculate k.\nAnswer: -24, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*f*g*v**2 - 6*f*g - 4*f*v**2 + f*v + v**2 with respect to g.\nAnswer: 12*f*v**2 - 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -52*a - 120 - 140 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24689?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4109 * 5\nAnswer: 20545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**3 + 1 + x**3 + 2*x + 0. Let s(n) be the third derivative of -n**6\/120 + n**5\/60 - n**4\/24 - n**3\/6 + n**2. Calculate f(v) + 2*s(v).\nAnswer: v**3 + 2*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (35 + -56)\/(6\/(-10)). Suppose v + 148 = i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17\/4, 39, 0.049 in decreasing order.\nAnswer: 39, 17\/4, 0.049","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3779357?\nAnswer: 109, 34673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86771, 173324, 259863, 346388, 432899, 519396?\nAnswer: 605879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -88072*u + 4. Let w(m) = -44036*m + 2. Let o(v) = 3*q(v) - 5*w(v). Let x be o(-2). Suppose -4*r - x - 67926 = 0. Round r to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/sqrt(125) - (sqrt(288) + -2) - sqrt(88)\/(6*sqrt(275)))**2.\nAnswer: -712*sqrt(2)\/15 + 64268\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -10*r**3 + 69*r**2 + 10*r - 28. Calculate p(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2 + 8 = -5*j, 4*j - 2*k - 18 = 0. Let f be j\/7 - 6800\/84. Let x = f - -80. Put 1\/3, -1\/4, x in increasing order.\nAnswer: x, -1\/4, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -10.878?\nAnswer: -8.878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-24 + 9)*1\/(-3). Suppose -y*l + 13*l = -3424. What is l rounded to the nearest 10?\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.781 + -3.7. What is g rounded to one decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + y**2 + y + 12. Let o be b(0). Suppose 2*s - 4*l = -0*l - o, 3*s - 4*l + 14 = 0. Let h be (-1 + 0)*4 - s. Put 1\/2, 3, h in increasing order.\nAnswer: h, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004975852 to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vj when two letters picked without replacement from {v: 8, j: 2}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69794?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d**5\/4 - 282*d**4 - 25229*d**3\/4 - 20418*d**2 + 6307*d + 20700 = 0. Calculate d.\nAnswer: -18, -4, -1, 1, 1150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a - 8. Let w = -47 - -40. Give p(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 + 8)*(7 - 6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1548\/5*((-2695)\/(-98))\/11. Is 1 at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13037*i + 12893*i + 17424 = 0 for i.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - b - 399 = -1863, -4*b + 1476 = 2*t. What is t rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2769*w - 214031 = -39584 for w.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 762.1436? (a) 0 (b) 4 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -92*-20024\nAnswer: 1842208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 478523 is divided by 478504?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pq when two letters picked without replacement from pbqbppppq?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 62. Suppose 3*h = -2*h - 130. Let r be 4\/10 - h\/(-65). Does 23 divide s(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 61)*24\/76?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 189904?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 1 = i. Let j = -0.2 + -0.2. Let l = 1.1 + -0.1. Which is the nearest to l? (a) j (b) i (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*l + 19 = 0, 0 = -j + 3*l - 8*l - 13. Suppose -4*x + 4*v = 0, 2*x + 40 = j*x + 5*v. Calculate the remainder when 12 is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1834.1098 rounded to the nearest ten?\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1369 = -6*p + 1397. What are the prime factors of p?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -10 (b) -0.3 (c) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 + 45*q - 75. Calculate l(43).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/41 or -2\/3?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 46*b**3 - 10533*b**2 - 223*b - 1285. Give p(229).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7917, -7919, -7929, -7953, -7997, -8067?\nAnswer: -8169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of p**7\/350 + p**6\/200 - 3*p**5\/100 - p**4\/40 + p**3\/5 + 129*p**2 + 1. Factor k(j).\nAnswer: 3*(j - 1)**2*(j + 1)*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -56. What are the prime factors of k?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 3*b - 5*b + 8060, -x = -2*b + 8090. Calculate the greatest common factor of 470 and b.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19947.\nAnswer: 3, 61, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 1, 114, 0, 38 in increasing order.\nAnswer: -3, 0, 1, 4, 38, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {d: 2, c: 10}.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -167 + 170. Find the third derivative of -81*f**v + 20*f - 18*f**2 - 53*f + 16*f**2 wrt f.\nAnswer: -486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.09 - -3.91. Let g = -0.02 + 6.02. Let x = g - 4. Which is the second biggest value? (a) q (b) x (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45 - -14. Let o be 15\/10 + (-2)\/(-4). Suppose 17 = -o*d - s. Is d smaller than -38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0.1 (b) 1\/2 (c) 6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of 5\/3*d**3 + 18*d**2 + 0 - 1\/3*d**4 - 1\/30*d**5 + d. Factor m(a).\nAnswer: -2*(a - 1)*(a + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-2)*q))\/q)**(-44)\/((q\/(q\/q**(2\/7)))\/q**2) assuming q is positive.\nAnswer: q**(-296\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -18 - 515194290\nAnswer: -515194308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1474 = -5*n - 3*o, -5*o = 3 + 7. Let i = n - 165. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -7*t**3 - 10*t**2 + 57*t - 63. What is d(2)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 269 + -267. Solve 4 = b*q - 6*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*i**5 - 4855*i**2 + 27*i + 963?\nAnswer: -300*i**3 - 9710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1152 is divided by 190?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2246\/(-56) - 23\/161. Let u = k + 40. Calculate the common denominator of -53\/8 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((13\/2)\/1)\/(-82*112\/18368).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2c - -17?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3114)\/5)\/((-6)\/1050). Let b = -324996 + w. Let f be 8\/(-12) + b\/(-9). Round f to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -119 + 118. Let b = 4.83 - 0.83. Suppose 2 = w - 3. Sort 0.1, w, p, b.\nAnswer: p, 0.1, b, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221 (base 5) in base 8?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*s - 16*s - 124. Let k(m) = -m**2 - 3*m - 8. Determine k(s).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + 11*g. Determine t(10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9493, -9486, -9463, -9418, -9345, -9238?\n\"Answer: i**3 + 2*i**2 - 6*i - 9490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, b: 2, n: 2, g: 5, x: 4}. What is prob of picking 1 x and 1 b?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/9, 1\/5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -817 + 869. What is the remainder when 205 is divided by b?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*o + 60. Suppose 20 = 2*a + 2*i, a - 64 = -3*a + 4*i. What is the remainder when o is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75672061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25 and 192265?\nAnswer: 961325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -g**4\/3 - 3*g**2 - 32*g. Let k(z) = 64*z. Let i(t) = -7*t. Let m(p) = 28*i(p) + 3*k(p). Give o(m(x)).\nAnswer: 32*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 - 3.3. What is the closest to j in 0.4, -3\/4, 0?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -107 - -109. Let q = 2 - c. Is 3\/88 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -8, -5*v = -2*b - 10 - 8. Solve -4*m + 14 = -2*z, -3*m - v*m = -z - 16 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -0*w. Suppose 2*t + 3*h - 4 = 0, 6*t - 2*t + h - 8 = 0. Let x be t\/4*w\/7. Solve -5*g + 2*u = -27, x*u = 5*g - u - 26 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of 10 + 1\/3*v**2 + 1\/18*v**4 + 0*v - 8\/27*v**3. Let a(k) = 0. What is k?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*6\/(-180)*5. Let y = -967 + 919.1. Let p = -48 - y. Which is the second smallest value? (a) w (b) p (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 16*n**2 + 18*n - 2. Let a be g(17). Suppose 0 = -k - 5, 2*k + 0*k - a = -5*j. What is the units digit of 11*3 - (j + -9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 165 - 30 = 0. Let z be (-1)\/(1*(-5)\/g). Let i = 229\/30 - z. Which is the third biggest value? (a) i (b) 3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(1\/2)\/c*c**(-3\/2)*c)**(3\/38) assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3169 + 313790\/99. Let t = 7\/9 - s. Factor 0*d + 0 + t*d**2.\nAnswer: 2*d**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**2\/4 + 27*q\/2 - 54 = 0. What is q?\nAnswer: 6, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) 3 (b) 18 (c) -4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7015\/4 - 1755. Which is the closest to 0.1? (a) m (b) 0.4 (c) -1\/7 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - q + 16. Let m be y(4). Let o be ((-2)\/8)\/((-7)\/m). Suppose -5*w - 3*c = -5 - o, -5*c + 10 = 0. Solve -3*a + 0*a - 12 = w for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 w when three letters picked without replacement from ththttttttttwhwtttw?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -129, -151, -199, -273, -373, -499, -651?\nAnswer: -829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*i - 1562 = 10*i - 1454 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1154 - 668. Is 21 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.24 and 167.1?\nAnswer: 40.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) -4 (c) -142 (d) 0.02 (e) -2\/9 (f) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1195795798 + 1195969944.0361. Let d = 174311.03609802 - r. Let a = 165 - d. What is a rounded to seven dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17970856?\nAnswer: 2, 2246357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.03 + -0.13. Which is smaller: m or 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 5 = -s + 5*x, -x = -s + 1. Solve 3*i + i - 4 = s for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001011000110011110001110 + 11?\nAnswer: 1001011000110011110010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z**2. Let y(p) be the third derivative of p**5\/40 + p**3 + 2*p**2. Let h(c) be the first derivative of y(c). What is h(t(w))?\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 0*r = 3*p - 32, -2*p + 23 = 3*r. Suppose -5*o = 2*s + 142, -s = 4*o + 25 + 52. Let f = s + 101. What is the greatest common factor of r and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 105332 (base 13) to base 15.\nAnswer: 7866b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/11 (b) 3 (c) -15\/4 (d) 4\/11 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = -5*v - 6. Suppose -v*y - 4*r = -3*r + 3, 4*r + 12 = 0. Sort 1, 3, y.\nAnswer: y, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/162260 and 75\/32.\nAnswer: 1298080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -24. Suppose 0 = -3*i + y*i - 246. Do i and 124 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/74310550 and -67\/50.\nAnswer: 74310550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 8 = 2 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 6. Find the third derivative of -f**2 + 5*f**3 - 2*f**a - 3*f**3 + f**3 wrt f.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - o + 201, 5*o = c + 4*o + 101. What are the prime factors of 33340\/c*10\/(-2)?\nAnswer: 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2887*x + 157242 + 41712 - 103600 = -216442 for x.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, c: 1, p: 12, b: 1, f: 2}. Give prob of sequence bfpv.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and -3172.\nAnswer: -3168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 6*r + 7 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -67766000 to the nearest 1000000.\nAnswer: -68000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 51*x - 206. Let c(p) = -48*p + 205. Let t(o) = -6*c(o) - 5*y(o). Let r be t(17). Put 1, -4, r in increasing order.\nAnswer: -4, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r - 4*v = 12*r - 20*r - 37, 0 = -12*r - 5*v - 179 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-225)\/(-216)) + -4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w*(w*w*w**10\/w)\/w)\/w*w*w)\/(w*w\/w**10*w)*w**(-2)\/((w*(w*(w*w**(2\/11))\/w)\/w*w)\/w))**(-2\/35) assuming w is positive.\nAnswer: w**(-74\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -h**4\/6 + 217*h + 16. Let p(x) = -6*x + 408. Give l(p(m)).\nAnswer: -72*m**2 + 9792*m - 332928","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 9 (b) 1\/10 (c) 133\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36592\/9 at least as big as 4067?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 215 and 129.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/463, -2\/15, 0.65?\nAnswer: 0.65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 771 (b) -1 (c) 0 (d) -106\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, u: 1, s: 3, k: 1, y: 1}. Give prob of picking 1 y and 1 k.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of 7*d**6\/40 - 5*d**4\/12 + 20*d**2. What is the second derivative of g(q) wrt q?\nAnswer: 126*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/4 of a millennium?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 10, i: 7, z: 1}. Give prob of sequence ili.\nAnswer: 35\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 700883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 + 23*b - 48. Suppose 2*o - 20 = -5*g - 75, o = 5*g - 20. Let d be s(o). Solve -5 = -3*i - d*c, -c = 2*i - 0 - 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 60 - 59. Suppose 2*g - 17 = c. Calculate the highest common factor of 72 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/4 - (-30)\/6. Suppose -j + y*x - 6*x = -6, -3*j = -5*x - 29. Let m(c) = 2*c**2 + c - 7. Calculate the remainder when m(-5) is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -k**6\/540 - k**5\/135 - k**4\/108 - 30*k**2. Let n(m) = 0. Calculate m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 81*a**3 + a + 2. Let v be b(-2). Let m = -644 - v. Solve 3*h + 3 = -5*r, -4*r + 0 - m = 2*h for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19702 - 39411 = -6*n - o - 19706, n + o + 22 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221640290.\nAnswer: 2, 5, 22164029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9\/(-4))\/((-3)\/12). Let u(n) = -n**3 + 8*n**2 + 12*n - 9. Let b be u(q). What is the highest common divisor of 144 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.8 + -4. Let r = 461\/12 - 119\/3. What is the closest to 2 in r, 0.5, p?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1458666 divided by -1749.\nAnswer: 834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 94.90032 - -0.12968. What is j rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 240 and 717120?\nAnswer: 717120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t + 13. Let r be z(10). Suppose h - 6 = 4*g, -2*h - 2*g + 3 = -7*g. Let x be h\/(2 - (-23)\/(-10)). Solve 8*n = r*n + x for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-55 - 0) + (23 - 7)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 11:48 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3992 divided by -998\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -22*m - 6. Let c(x) = x + 1. Let d(q) = -5*c(q) - y(q). Is d(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, 384, -0.1, -0.4, 92.\nAnswer: -0.4, -0.1, 0.6, 92, 384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 6 + -11 + (1 - -10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 0. Let n = s + 11. Let f = 7 - n. Which is bigger: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -7*r + 30*r - 2 - 1. Suppose -4*i + 20 = -0*i. Let k(c) = i - 2*c - 2 - 2 - 6*c. What is -6*b(z) - 17*k(z)?\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21385?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -6 (b) -5\/4 (c) 0 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**3 - 2*a**4 - a**3)*(a + 2*a - 4*a)*(17 + 80 - 54).\nAnswer: 86*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 9*a**2 + 3*a. Let h(x) = -27*x**2 + 11*x**2 + 8950*x - 8950*x + 17*x**2. Calculate -2*h(g) - m(g).\nAnswer: -11*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0402707 - 77.0080707. Let u = 77 + p. Let i = -0.026 + u. Round i to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -11*n - 3706 + 3842, -v + 43 = 5*n for v.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence apqa when four letters picked without replacement from aqqpqqpqpaqqpqpqqqp.\nAnswer: 11\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 5. Let p be f(6). Let -276*g**2 - 72*g**4 - p - 6 - 13*g**5 - 22 + 3*g**5 - 184*g - 202*g**3 + 11 = 0. What is g?\nAnswer: -2, -6\/5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 346 - 184. Suppose 5*d - 66 = m - y, -3*d + 191 = m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 7*p + 8. Let r = -97 + 155. Suppose -z - 3*g - 323 = 4*z, 188 = -3*z + 4*g. Let q = z + r. Give u(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -954770 times 0.07?\nAnswer: -66833.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (4\/(4\/3))\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**2 - 4*x + 5. Let o be k(5). Suppose -a - 118 = 3*a + 2*c, -3*c + 9 = 0. Let l = a + o. Solve -3*w - l = -f + 4, -20 = 5*f for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -458388645 take away 0.91?\nAnswer: -458388645.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 2 + ((-3105)\/(-3))\/5. What is the derivative of -s - 43*f + 344 - 172 wrt f?\nAnswer: -43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 3567 + (0 + 0)\/(-93 + 99)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190355873 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7*(-6)\/(12 - 6). Sort 7, 5, 4, d in decreasing order.\nAnswer: 7, 5, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1180)\/15*(2 + -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -47 - -35?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2721.27 * -0.046.\nAnswer: 125.17842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 789791497 to the nearest integer?\nAnswer: 28103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 + 10*a + 12. Let f be p(-9). Suppose 2*q = 3*q. Suppose q = -3*z + 33 + 39. What is the greatest common factor of z and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 7*d**2 - 7*d + 12. Let b be r(-8). Suppose b*j + 126000 = 7*j. Round j to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*g**2*n**3 + 46021*g*n**3*p - 14*n**3*p - 4*n**3 + n**2*p + 17*p wrt g.\nAnswer: -8*g*n**3 + 46021*n**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -622 + 1052436?\nAnswer: 1051614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 11*w + 35. Let k(s) = -s. Give k(z(u)).\nAnswer: -11*u - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -221c?\nAnswer: -221b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wjjmdjmjjjmwdwjwjjw. What is prob of sequence ddmm?\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(1*sqrt(768)).\nAnswer: sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10644*l**2 + 4*l + 68 wrt l.\nAnswer: -21288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*g**2*p**2*z - 2*g**2*p**2 - 2*g**2*p*z - 10*g*p*z - 2*p*z wrt p.\nAnswer: 14*g**2*z - 4*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y**3 + 2*y**2 + 4. Let g(u) = 9*u**3 + 7*u**2 + 13. What is 7*f(a) - 2*g(a)?\nAnswer: 3*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13211?\nAnswer: 11, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + (24 - 23) + -108 + (8 - (-7 + 2))?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6 - 2)*3*(6 + 9). Let c be (-1)\/(-12) + 1065\/r. Solve -c + 12 = 6*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**5 + 20*w**4 - 1200*w**3 - 40000*w**2 - 320000*w = 0.\nAnswer: -20, 0, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*i - 10. Suppose -6 = -i*r + 6*r. What is the second biggest value in 5, 0, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 10\/9 (b) -1 (c) 2247 (d) 2\/37 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12, -30, -38, -30, 0?\n\"Answer: h**3 - h**2 - 22*h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*n + n, 3*x = -3*n + 18. Let f(o) = x + 3*o - 3. Let a(s) be the second derivative of -s**4\/6 - 2*s. Give a(f(b)).\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 171 - 154. Let d be (-4)\/(-14) + (-96)\/(-7). Suppose -3*l = -4*y - 0*l + c, -2*l - d = -4*y. Solve -y*v - 5*s - 4 = 0, 2*s - s = -4*v + 10 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, n: 1, i: 4, m: 3, p: 4}. What is prob of picking 1 n and 1 p?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s**2. Let g(h) = 37*h**2 - 13*h**2 - 3*h**2. What is j(g(x))?\nAnswer: 1764*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 644843?\nAnswer: 644843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((0 + sqrt(1539) - sqrt(1539)) + 3 + (sqrt(931) + -1 + -3)**2 + -1)*3.\nAnswer: -1008*sqrt(19) + 17082","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-130)\/30)*(-12)\/8*-2\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 96 = -4*n. What is the remainder when n is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**2 + 3*f + 7. Calculate x(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, e: 3, b: 3, i: 10}. Give prob of sequence ii.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (3 + (1 - -3))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + (5*((-1*sqrt(125) - sqrt(125)) + -2) - (2 + (sqrt(125) - (sqrt(125) + (sqrt(125) + -3*(sqrt(125) + -1))**2 + sqrt(125))))) + 4).\nAnswer: -1503 + 315*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3 + 9\/(-2) - 110\/(-4) is divided by (9 + 0)*(0 + 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o. Let m(u) = -983*u. Give m(d(t)).\nAnswer: -1966*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10339 divided by 49?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*f**2*r**2 + 952*f**2 + 17*f*r - 296*r**2 wrt f?\nAnswer: -6*r**2 + 1904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 - ((36 + -53 - -24) + (1 - 7)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7276 and 0.08167.\nAnswer: 7276.08167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y = 53*y - 172. Solve 5*n + 7 + 5 = -2*i, 0 = -y*i - 5*n - 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of u**2 - 3. Let p(n) be the second derivative of -4*n - 1\/6*n**3 + 0*n**2 + 0. Calculate p(i(t)).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 909 - 907. Calculate the greatest common divisor of i and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c + c. Suppose -2*d - 4 = -c. Calculate the lowest common multiple of d\/(-6) - 58\/(-6) and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2865555 is divided by 702.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 AM and 12:21 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f**2 - 18*f - 96. Calculate the lowest common multiple of l(-4) and 15.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 2923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*w**2 - 1199*w + 18546?\nAnswer: -12*w - 1199","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 217512 and 40094712?\nAnswer: 120284136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51.8142965489 - 9.3142954459. Let s = 42.5 - w. What is s rounded to seven dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5040 divided by 105\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 2*i + 48, 52 = 3*i + 2*q + 28 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 14 = 2*u, 5*u + 8 = 2*m - 3*m. Let z be (1 + -1 + -2)\/(-2). Let l be z - 30\/(-26) - m. Which is the third biggest value? (a) l (b) -4 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*b*j**2 + 3*b*j*k*w + 5*b*j*w + 5*b*k*w - b*w - 2*j**2*k*w - j**2*k - 18*j**2*w wrt j.\nAnswer: 28*b - 4*k*w - 2*k - 36*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 5*c + 60 = 0, -v + 1 = -4*c - 12. Let f be (-18)\/(-4) - v\/(-14). Solve -f*h + 17 = -3 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 20*i + 4. Let f be n(-5). Calculate the common denominator of 1*(-3 + f\/(-33)) and 29\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -475? (a) -1 (b) -0.04 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**2 + 5*p - 20. Give r(-9).\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*l - 142 = 38 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 697 and 205?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 330.9891 nanometers in millimeters?\nAnswer: 0.0003309891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 51 (base 6) to base 14\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0062374833 to 5 dps.\nAnswer: -0.00624","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -951 + 957. Solve 0 = 2*t + v*t + 40 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-77)\/21 + 3)*-3. What is h in k*h**5 + h**5 - 63*h - 2*h**5 - 27 + 9*h**4 - 30*h**2 + 18*h**3 - 4*h**5 = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 3*p + 5 + 6, 3*o + p - 5 = 0. Suppose w = o*w - 2. Suppose -15 = -3*l - w*l. Is l smaller than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -853 + 859. What is the third biggest value in a, 3, -2\/69?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 47 - (775 + -864).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) - 1*(sqrt(468) + sqrt(468) + -2 + sqrt(468))) + 1)**2 - (-5 + -2 + 1*sqrt(13) + 1).\nAnswer: -73*sqrt(13) + 1887","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor r + 1\/4*r**4 - 3\/4*r**2 - 1\/2*r**3 + 1.\nAnswer: (r - 2)**2*(r + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/6 (b) 33\/7 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 + 7708?\nAnswer: 7699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -60, -0.122, -2, 12, 1?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -6\/7, 3, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45014?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*w**4 - 2*w**3 + 194*w**2 wrt w?\nAnswer: -144*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 350 divide 17372600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: -24 divided by -27921\nAnswer: 8\/9307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00018532 to 6 decimal places.\nAnswer: 0.000185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13354035 is divided by 40.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -341, -405, -441, -437, -381, -261?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 285\/143 + -7\/13. Find the common denominator of y and 174\/(-9)*2\/4.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -58, -62, -64?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1133 - -13?\nAnswer: 1146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of -s**5\/60 - 13*s**4\/24 + 47*s**3\/2 - 4*s**2 + 16*s. Give y(-20).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 7:46 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -q**4\/30 - 13*q**3\/15 + 6*q**2 - 2*q + 815. Solve t(l) = 0.\nAnswer: -15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 3 (b) -5 (c) 2 (d) -88492\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -483 (base 11) to base 3\nAnswer: -210022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of d**5\/5 + 5*d**4\/3 + 4*d**3\/3 - 16*d**2 - 65*d + 10. Let o(f) be the first derivative of h(f). Suppose o(v) = 0. What is v?\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/(-70) + 78\/273)\/(-6*(-8)\/1008)?\nAnswer: -21\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5552554 (base 7) to base 6.\nAnswer: 22404251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -4*b - 88, 0*o - 770 = 5*o + 20*b - 410 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*j*m**3*q**2 + j - m**3*q**2 - 5*m**3*q + 17*m**2*q**2 - m*q wrt q?\nAnswer: -6*j*m**3 - 2*m**3 + 34*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/5, -0.3, -2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/2))**(40\/3)*l\/(l\/l**(-4))*l**2*((l**(2\/7))**(-32))**(-2\/93) assuming l is positive.\nAnswer: l**(3166\/651)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10708 and 1.\nAnswer: 10708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (16 - (-18 + (9 - 2) + 14))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r + 8. Let k be c(6). Suppose 2*p = -5*w + 71, -3*p = -5*w + k*w - 138. Let a = -19 + 30. What is the remainder when p is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -31315.3967 to the nearest ten.\nAnswer: -31320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 i when three letters picked without replacement from ipiiiiipiipiiipijiip.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u**4 + 60*u**3 - 300*u**2 + 500*u = 0 for u.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 3*a = -98. Let f(l) = 3 + 2*l + a - 13. Calculate f(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*f**2 - 25*f**2 + 35*f**2 + 41*f**2.\nAnswer: 105*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1761.1 rounded to the nearest ten?\nAnswer: -1760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -m - 72 + 72 + 2*m**2 + (-5 + 39 + 29)*((-8 + 1 + 1)*(0*m**2 + 4*m**2 - 2*m**2) - 26*m + m**2 + 26*m) as v*m + g*m**2 + f and give g.\nAnswer: -691","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3044 + 710. List the prime factors of j.\nAnswer: 2, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - -10 - (-9 - (6 - 18)) - -8.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/36 - (-142)\/9. Let m = r + -14. Solve c**4 + 4*c + c**4 - 4*c**3 + 52*c**m - 54*c**2 = 0 for c.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 8:33 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3628 + -3516. What is the least common multiple of h and 32?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11208 + 11194 + -90 + 0\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001728 rounded to seven dps?\nAnswer: -0.0000173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-7)\/((l*l**(1\/3)\/l*l)\/l)*l**(-1\/2)\/((l**12*l)\/l) assuming l is positive.\nAnswer: l**(-119\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2 - 770681580*k - 49495841479274700.\nAnswer: -3*(k + 128446930)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 816585 divided by -231?\nAnswer: -3535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = q - 2*v, 3*q + 2*q + v = 105. Suppose 74*p - q = 78*p. Sort p, 2, -2, -4 in decreasing order.\nAnswer: 2, -2, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156*z**2 - 228*z**2 - 166*z**2 - 233*z**2.\nAnswer: -783*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -114415\/661188 + -6\/5009. Calculate the common denominator of g and (-2)\/(-6)*(-655)\/(-30).\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 4 + -3*sqrt(1584) + sqrt(1584) + 1)**2.\nAnswer: -480*sqrt(11) + 6436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1685 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244*h = -783*h + 4045 + 10508 for h.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 16*n**2 + 33*n + 251. Let z be j(8). Determine h, given that -46\/3*h**2 - 200\/9 - 2\/9*h**4 - 28\/9*h**z - 280\/9*h = 0.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*l - 86*l + 386*l - 13537 = -57592 for l.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -165*d**2 + 22760*d + 1380.\nAnswer: -5*(d - 138)*(33*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2590 and 34034635?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*r - 340 = 19*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-236202)\/(-27) - (13 + (-920)\/72) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -41 - 43?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/11562 and -63\/752?\nAnswer: 92496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*v**4 + 18979477*v**2*z**2 + 115700987*v*z + 2*z**2 wrt v?\nAnswer: -36*v**2 + 37958954*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5384112 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -10. Find the second derivative of -9*h**f - 12*h + 6*h + h**4 wrt h.\nAnswer: -96*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 143\/121 - 4\/22. Solve -i - 2 = -c for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 6*w**3 - w - 1. Let t be n(2). Suppose 4*u - 97 = -d - 2*d, 5*d = -2*u + t. Calculate the highest common divisor of 10 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78142 is divided by 78135?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j = -5*l + 48, -64*l - 2*j + 18 = -62*l + 2*j for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286 is divided by 146?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llzllzzlllfzlfztflz. What is prob of sequence zl?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.13178 - -744.29337.\nAnswer: 744.42515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -l**6\/240 - l**5\/30 - 17*l**2. Factor b(f).\nAnswer: -f**2*(f + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 1018 = b, -4*x = 4*b - 1183 + 359. Suppose -206*m + x*m - 12 = 0. Let p(w) = -w**2 - 6*w - 1. Give p(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*p - 1544 + 1769 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - -152. Let i = p - 158. Which is the biggest value? (a) -0.4 (b) 2\/15 (c) 3 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of j**3\/3 + 1. Let u(a) = -168*a + 21. Let x(i) = 17*i - 2. Let s(h) = 2*u(h) + 21*x(h). Give s(l(y)).\nAnswer: 21*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 7:30 AM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3358798 to the nearest integer?\nAnswer: 1833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -11*o - 5*o - 21*o - 13*o + 23*o. Let s(b) = 4*b + 3. Let q(v) = -3*v - 2. Let p(y) = -3*q(y) - 2*s(y). Determine r(p(x)).\nAnswer: -27*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 111 - 113. Let a = -4\/17 + -1\/68. What is the biggest value in r, 0.1, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of -3*z**2 + 0 - 1\/3*z**4 + 0*z + 0*z**3. Let u(a) = a**2. What is x(u(q))?\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56 by -9686.\nAnswer: 28\/4843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eammamaa. What is prob of sequence aema?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6 + (-27)\/15*(6 - (-69276)\/(-36))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand d - 17 - 6*d + 3*d + (-34 + 20 + 35)*(2 - 2 + 2*d).\nAnswer: 40*d - 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -209.72, 2\/9, -4, -2\/7, -4\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 10\/3 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 1:13 PM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*n**3 + 15*n**3 - 44*n**3 + 12*n**3.\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 2*m + 1. Let r be u(2). Let p(l) = -l**3 + 83*l + 247. Let v be p(-7). Suppose -v*x = r*x + 56. Put x, -3, 13 in decreasing order.\nAnswer: 13, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1670952, 3341903, 5012854, 6683805?\nAnswer: 8354756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 1. Let y = 12.3 + -12. Let q be (1\/2)\/(2\/(-8)). Which is the nearest to q? (a) l (b) 1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of p**7\/3780 - p**6\/180 + p**5\/36 - p**4\/2 + p. Let i(r) be the third derivative of a(r). Factor i(l).\nAnswer: 2*(l - 5)*(l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -1\/4, 27, -26, 0.4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-492)\/(-39237)*-77 + (-2)\/(-2).\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of 5\/36*n**4 + 0 + 1\/60*n**5 - 15*n + 7\/18*n**3 + 1\/2*n**2. Factor h(c).\nAnswer: (c + 1)**2*(c + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 7 = 4*m, 1 = -m - 3*n - 11. Solve 0 = -2*y + m*y - 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28470 and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -11. Let l be 1\/(y - 3\/(-6)). Put 5, -0.4, l in descending order.\nAnswer: 5, -0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*113\nAnswer: -22.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -80*u**5 + 1745682*u**2 + 337402598*u.\nAnswer: -1600*u**3 + 3491364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -212*v**4 - 2*v**3 + 4*v**2 - 213?\nAnswer: -5088*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 3126606?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3016?\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 5:03 PM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.21, 1\/3, 0, -2\/9, -2\/5 in descending order.\nAnswer: 1\/3, 0, -0.21, -2\/9, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 532 + -486. Solve 2*n - c = -1, 45*n + 4*c - 18 = t*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 2*h**4 + 14944*h**3 + 59702*h**2 - 313656*h = 0?\nAnswer: -7468, -7, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 868.4986nm to micrometers.\nAnswer: 0.8684986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -22*z + 21*z. Let t(c) = 4*c - z - 22 + 60 - 3*c. What is t(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -3 - 5. Suppose 15 = -j*p + 7*p. Factor u**4 + u - 3*u**p - 6*u**2 + 3*u**4 + u**4 + 1 + 2*u**3.\nAnswer: -(u - 1)**3*(u + 1)*(3*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1094 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -8*o + 7. Let s(z) = 4*z - 4. Let t(f) = -4*k(f) - 7*s(f). Let x(l) = 37*l - 67. Let q(b) = -3*t(b) - x(b). Find the first derivative of q(g) wrt g.\nAnswer: -49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**5\/5 - 636*l**4\/5 + 632*l**3\/5 + 1906*l**2\/5 - 633*l\/5 - 254 = 0. Calculate l.\nAnswer: -1, 1, 2, 635","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 + -12. Let x = -669.8 + 670. Sort w, x, 0 in decreasing order.\nAnswer: w, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from -57.68.\nAnswer: -57.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -84*o**2 - 3*o + 2. Let n = -11 + 13. Let s be h(n). What is s rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.768149 microseconds in days?\nAnswer: 0.0000000000204646875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 108*i - 379*i + 271. Let x(h) = 4*h. Let k(s) = -s. What is i*x(r) + 12*k(r)?\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 339, 18 in decreasing order.\nAnswer: 339, 18, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -2 + (4 - 3 - (-6 - 1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 408 - 408. Solve n = s + 2*i + 5, 6*s - 3*s + 2*i = -11 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 3*j**2\/2 + 3672*j + 574560 = 0.\nAnswer: -2280, -168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 15 = 3*i. Let d(k) = -8*k - 11. Suppose 7*f - 128 = 23*f. What is the remainder when d(f) is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.42 + 126\nAnswer: 125.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 844043 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4.8, -2\/3, -1.\nAnswer: -4.8, -2, -1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*i**3 - 2 - 335*i**2 + 336*i**2 - 2*i**3 in the form m*i + t*i**2 + s + z*i**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than -2.507353036?\nAnswer: -3.507353036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -u**4\/12 + u**3\/6 + u**2 + u + 61. Suppose 0 = -5*i - 9*x + 12*x + 4, -16 = -5*i - 3*x. Determine c(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 5\/(15\/(-12)) + 144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164 = -f + i, 0*f - 4*f - 4*i = -624. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 399911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57 - 57 - 19*d.\nAnswer: -19*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 33783, 33788, 33793, 33798?\n\"Answer: 5*d + 33778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -116.\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -331\/59918 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4173847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ozoo when four letters picked without replacement from xzxoooyzzxqowxqooo.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 6*f - 6. Let s(v) = 3*v**2 + 17*v - 17. Calculate 11*r(y) - 4*s(y).\nAnswer: -y**2 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 + -8. Calculate the remainder when (2\/(-4))\/(5\/(-230)) is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (17\/(204\/18))\/(1\/2). Suppose -2*y - f*l = -2164, 3*l = 16*y - 11*y - 5452. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 370 - 203*o - 166 - 363*o - 204 + 132*o.\nAnswer: -434*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 8064*p + 25. Let t(u) = 51891844*u + 160880. What is 32176*r(f) - 5*t(f)?\nAnswer: 8044*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -260 + 247. Let h be 5\/((-90)\/(-88)) + v\/(-117). Solve 0 = h*p - 7 + 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002329 to four dps.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-6)*-2*1. Let u = 17 + -15. Put k, -5, u in decreasing order.\nAnswer: u, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 537 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, -2\/25, 0.0549, -1\/5, -0.55, 2\/17, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 156041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from wdwedwdeedded?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -737, -721, -705, -689, -673?\nAnswer: -657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3690, -3703, -3716, -3729, -3742?\nAnswer: -3755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 801, 3, 5, -3 in increasing order.\nAnswer: -3, -2, 3, 5, 801","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - ((-572)\/299 + 9).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - r**2 - 5*r + 3. Let z be p(3). Suppose -2*l - 3*n = -9, -z*n + n + 21 = 4*l. Let w be 4\/(-2)*l\/42. Is w less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -o**5\/10 - 5*o**4\/12 - o**3\/6 + o**2 + 58*o. Determine k so that n(k) = 0.\nAnswer: -2, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 682765 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three eighths of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 113 - -20. Calculate the highest common divisor of 19 and y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*h + 691*h + 11898 = 0 for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of o**5\/30 + o**4\/12 + 25*o**2. Determine l, given that r(l) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 58 + 240\/((-432)\/(-18)). What is the highest common factor of c and 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -19*d**3 - 3*d**2 - 5*d - 9. Let z be j(-7). Suppose -5*v + k = -z, -4*k = -7*v + 3*v + 5104. Suppose 0 = p + 15*p - v. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1134, -2\/135, 20 in descending order.\nAnswer: 1134, 20, -2\/135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 2) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -7*x**2 - 6*x - x - x**3 - 326 + 331. Let o = -12 - -6. Give d(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.261 - -6.081. What is the closest to 1\/13 in 2, -4, 3\/7, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 2*h**2 + 1. Let a be p(-1). Let s(u) = -70*u**3 - 3*u**2 - 6*u - 7. Is s(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1417902*y**3 - 2*y**2 + 218187*y wrt y.\nAnswer: 8507412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 218 and 22.\nAnswer: 2398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**2\/9 - 150677120*n\/9 - 5675898622873600\/9 = 0. Calculate n.\nAnswer: -75338560","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 66 - 66. Which is the third biggest value? (a) g (b) 4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(3) + sqrt(3) + sqrt(75)*-1)*-6.\nAnswer: 54*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 1:15 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((3\/(-153))\/(52\/78)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11380678 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.284 and -0.2?\nAnswer: -0.0568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 11. Suppose -m = -t + 1. Do 4 and t have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -158670887*k**2 - 116367576.\nAnswer: -317341774*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 595 or 586?\nAnswer: 595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3 - 41470*u**2 + 82975*u + 124440.\nAnswer: -5*(u - 3)*(u + 1)*(u + 8296)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - 0*2\/6. Suppose -2*d + 2*l - 108 = 0, t = 3*l - 2*l. What is the remainder when -2*(-1)\/(-6)*d is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 339600 and 99050?\nAnswer: 2377200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n + 2. List the prime factors of v(-27).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 23 and -6767605446?\nAnswer: 6767605469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 + 26 - 7)*(-4*k - 2*k + 3*k)*(2*k + k - k).\nAnswer: -270*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4*v + 4. Let m be h(1). What is the nearest to 0 in m, 14, 0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 38 - 8. Suppose 1 = 5*c + j. Let s(m) = -54*m**3 + m**2 + m. What is the tens digit of s(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 966\/(-261) + (-6754)\/(-1842)\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*5817\nAnswer: 1745.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 0.3 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d**2 - 36*d - 220. Determine o(-6).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 666 + -333789.\nAnswer: -333123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43569403 to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 10:27 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 55551, 55535, 55509, 55473, 55427, 55371?\n\"Answer: -5*x**2 - x + 55557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 1 = -u. What is the highest common factor of u and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -8*k**2 + 2*k - 4. Let s(z) be the third derivative of 1\/6*z**3 + 0*z**4 + 1\/60*z**5 + 28*z**2 + 0 + 0*z. Calculate 6*s(a) + y(a).\nAnswer: -2*a**2 + 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/58393 - 2860569\/40174384. Find the common denominator of n and -91\/32.\nAnswer: 1376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8031 + 8050. Let n(o) = o**2 - 20*o + 57. Determine n(q).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 404663 is divided by 312.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1881 = -8*w - 409. Let v = w - 169. What is the remainder when (1 - (-2 - -2))*27 is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 + 49 = 14*w. Put 0, w, 2 in ascending order.\nAnswer: w, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 4*l - 4*t - 7, -2*l - 2*t - 14 = 0. Let f be (4\/(-30))\/(-4*6\/24). Which is the third smallest value? (a) -5 (b) f (c) l (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 - ((-10355352)\/1456)\/159.\nAnswer: -7\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q**2 - q + q)*((5 + 0 - 3)*(-1 - 1 + 1) + 9 - 59 + 0) to the form a + t*q + l*q**2 and give l.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24) - sqrt(1536)*-1) + sqrt(24))\/(sqrt(84)\/(-3*sqrt(7))) + 3 + -4 + (sqrt(36)\/sqrt(2))\/sqrt(9) + 1.\nAnswer: -29*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 667593.8ug in tonnes?\nAnswer: 0.0000006675938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 1 + 2 - l + 1 - 3. Let c(w) = -4*w + 8. Let i = 0 + 2. Suppose 6 = -3*m + h, -i*m - 10 = -3*h + 1. Determine m*c(j) + 6*n(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-70 - 32*w**3 + 70)*(-w + w + 3*w) + (0 + 2*w**3 + 0)*(1 + 2*w - 1) + 3*w**4 - w**3 + w**3.\nAnswer: -89*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 52 = -0*v. Let w(q) = -5*q. What is the units digit of w(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5389 times -2\nAnswer: 10778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2543360 divided by 20\nAnswer: -127168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 10*o + 19. What is x(-6)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 6:50 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -4*o + 4*o + 4*o + 12 + 11. Let x be u(-14). Is -30 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -144*c + 778. Does 63 divide l(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1326 - -10.5074. Let d = u + -14.64. Let y = 0.2 + -0.2. What is the closest to -2\/3 in 1, y, d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 99201860 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 2 t, and 1 v when four letters picked without replacement from {t: 2, w: 5, j: 1, r: 2, z: 5, v: 1}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 5 - 51*y + 88*y - 46*y - 9*y**3 - 7*y**2. Let a(c) = 5*c**3 + 4*c**2 + 5*c - 3. Determine -5*a(h) - 3*f(h).\nAnswer: 2*h**3 + h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 286*f**3 - 596*f**2 + 48*f.\nAnswer: 2*f*(f - 2)*(143*f - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + -1 + 7 + -2. Let l(f) = -f + 1. Let d be l(-1). Suppose 3*j = 12, -d*p - 5*j = -16 - 10. Solve a + a = 4*w + 16, p*a + 9 = -c*w for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 47250684.36 to the nearest 100000.\nAnswer: 47300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 51 = -3*a. Let b = 35 - a. Calculate the greatest common factor of b and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**3 - 2346*o**2 + 574443*o + 13070106 = 0. What is o?\nAnswer: -974, -21, 213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 85*m - 4*m**2 - m**2 + 2 - 87*m. Calculate x(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 209880938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*1\/(-1) - 0. Let z(k) be the second derivative of -k**f + 1\/20*k**5 + 1\/30*k**6 - 1\/4*k**4 - 5\/6*k**3 + 0 + 3*k. Factor z(g).\nAnswer: (g - 2)*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u**2 - 4*u + 2. Let a be y(4). Suppose 69 + 713 = 23*c. What is the greatest common divisor of a and c?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 10:59 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.19 - -0.39. Is d smaller than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 474 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -12*l**3 - 95*l**2 - 67. Let k be p(-8). Sort -3\/14, k, 0.4, -35.\nAnswer: -35, k, -3\/14, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ayyyaaaayyaaayaaaya. What is prob of picking 1 a and 1 y?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 302330*r - 384016?\nAnswer: 302330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**(1\/2)))**(-50)\/((s\/s**(-6))\/s**(-1))*(s*s*s\/(s\/s**2)*s*s*s**(-10))**35 assuming s is positive.\nAnswer: s**(-173)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 531 divide 15924690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**2 - k - 3. Let g(i) = -i**3 - 2*i**2 - 2*i - 4. Let w(n) = 3*g(n) - 4*u(n). Let h be w(-3). Suppose h = 4*o + 9. Does 12 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111 (base 15) to base 11.\nAnswer: -1aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uz when two letters picked without replacement from {w: 1, u: 2, g: 4, z: 1, x: 8}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -141.\nAnswer: -705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/4)*l)**13*(l*l*l**(-1))\/l**(1\/3) assuming l is positive.\nAnswer: l**(281\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-6 - 28 - -21).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from prlwrrjwlwy. What is prob of sequence rj?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 4160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -55 - -82. Suppose 0 = u + 2*t, -u - 4 = -5*t - 25. Calculate the lowest common multiple of a and u.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (228\/760)\/(24\/(-5) + 3). Which is the nearest to -0.06? (a) 0.3 (b) 12 (c) -0.3 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 6:58 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.213 * -12\nAnswer: -2.556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*5*(sqrt(20)\/sqrt(4))**2.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2173?\nAnswer: 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 447998 < 448001?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 154*z**3 + 7342*z.\nAnswer: 924*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 1:36 AM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -7917*a - 2647. What is the units digit of q(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 15*b - 44. Suppose -6*d = 5*k - 2*d - 49, 0 = 2*k - d - 30. What is the tens digit of l(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -79, -67, -39, 11, 89, 201?\n\"Answer: a**3 + 2*a**2 - a - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 45*q + 9*q + 27*q as z*q + i and give z.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26736, -53477, -80218?\nAnswer: -106959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 2\/5, -0.1019?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -93520000 to the nearest 1000000.\nAnswer: -94000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*f - 37 = 203 + 432 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8554277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (-13 + 10 + 10)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 8, -106.3, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -2, 49, -67, 1 in descending order.\nAnswer: 49, 1, -2, -7, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 36 + 4 = 0. Determine z, given that 36*z**4 + 32*z**4 - 70*z**g + 8*z**3 = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1751*f*w**4 - 2*f*w**2 - f + 464588 with respect to w.\nAnswer: 7004*f*w**3 - 4*f*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 3*p**3 + 3276*p**2 - 12849237*p - 12852510 = 0.\nAnswer: -2686, -1, 1595","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 8*h - 37. Suppose -2*j + g - 4*g + 12 = 0, -3*j = -2*g - 18. Let v be o(j). What is the greatest common factor of v and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 3\/4, 2\/13, 0, -1\/620?\nAnswer: -1\/620","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/139 bigger than -749.783?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 8164632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.5 + 3. Let g = j + -0.5. Let p = -0.0000004 + g. What is p rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -434145190 divided by -43414519.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.42 and 28.1.\nAnswer: 27.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -699 - -6289\/9. Sort -0.3, b, -1\/3 in ascending order.\nAnswer: -1\/3, -0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.09 * 0.17981\nAnswer: -0.1959929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 7*n**2 + n + 7. Let r be z(-7). Let s be (-5 + r)*(8 - 9). Suppose -s*w + 69 = -61. What are the prime factors of w?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5*c + 1207 + 1450 = 0, -4421 = -5*n + c. Suppose -4*x = 0, 4*w - 2*x + 3*x = n. What is the derivative of 221*q**3 - w*q**3 + 8 + 4*q**4 wrt q?\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 7) to base 9\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*p - 9*p + 4*p to u + b*p and give b.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 9) to base 12.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 85 + -82. Solve 2*f = p*a - 5, 0 = -2*a + f + f for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/39 + 3071903\/(-1495)*-10 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(891) + sqrt(891))**2*5 + 2 + (sqrt(891) + 2*sqrt(891) + -3 - (sqrt(891) + sqrt(891) + 1)*-3).\nAnswer: 81*sqrt(11) + 17822","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 255371*t - 27*t**2 + t**3 - 255371*t - 9*t**3 + 6*t**3.\nAnswer: -2*t**3 - 27*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42818 and 20054.\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 776386?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of j**5\/30 - j**4\/12 - 3*j**3\/2 - 6*j. Let a(g) be the second derivative of u(g). What is a(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -2) + (-1 - (-6 + 2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 35*z**5 + 360*z**4 - 2105*z**3 - 23310*z**2 - 6480*z = 0. Calculate z.\nAnswer: -9, -2\/7, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-135)\/(-35)*(1\/(-3))\/(54\/108)?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m + 8. Let y be p(-6). Let f = -1 + y. Let q(x) = x**2 + 5*x + 4. Let s be q(f). What is the greatest common factor of 16 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 s when two letters picked without replacement from qskqwskswswqskooko?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3489936 minutes in milliseconds?\nAnswer: 20939.616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 850*v**3 + 85*v**3 + 997*v**3 - 242*v**3.\nAnswer: 1690*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, t: 3, c: 2}. What is prob of picking 1 c and 1 z?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 5 (c) 101\/6730 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/40 - (-5)\/(-4)) + 3. Suppose 2*f + 0*f = t*d + 4, -3*d = -5*f + 14. Find the third derivative of 206*j - 206*j + 20*j**f + 16*j**2 wrt j.\nAnswer: 480*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 24*w + 2. Let f = 18 + -14. What is the tens digit of b(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80206099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 539982318.\nAnswer: 2, 3, 19, 647, 7321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0, -19.73, -5 in descending order.\nAnswer: 0.5, 0, -5, -19.73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2)*(-6 + 2 + 2)*(0*n**2 + n**2 + n**2)*(19*n**2 - 5*n**2 - 5*n**2).\nAnswer: 72*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -7510, 17 in decreasing order.\nAnswer: 17, -4, -7510","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1879 or -1628?\nAnswer: -1879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - z + 3*z + (4 - 1 - 5)*(z + 2*z - 2*z) + 28*z - 26*z - 24*z + (z - 2 + 2)*(10 - 1 - 1))*(2 - 2 + 2)*(-3 + 1 - 2)*(0 + 4 - 5).\nAnswer: -120*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 12*k - 82, 186*r + 22 = 4*k + 189*r for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-15)*90\/72*-4*-27?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 379464 a multiple of 326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 184, 245, 300, 349, 392, 429, 460?\nAnswer: 485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a millimeter in micrometers?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23321, 186703, 630033, 1493243, 2916265?\nAnswer: 5039031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/79 in 11, 1\/7, 1\/4, -5, 5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-47)\/(-2) + -3*(-4)\/24 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2201213 + 1?\nAnswer: 2201220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -20*k**2 + 1861*k - 135. What is o(93)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.02893 (b) 0.4 (c) 18 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**4\/4 - 327*k**3\/2 - 41475*k**2\/4 + 42771*k\/2 = 0. Calculate k.\nAnswer: -53, 0, 2, 269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -10544*l + 16. Give t(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + 10*d + 8. Let k be z(-10). Let l = 137 - 192. Let u be (-2)\/((l\/140)\/11). Calculate the highest common factor of k and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*h + 42 = -14 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.05 - -2.05. Let l = 0.4 - 5.4. Let q = l - -4. Which is the second smallest value? (a) 1\/7 (b) h (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 44, 2\/9, -39.9276, 0?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 1 - 3. What is n in 1\/6*n - 1\/3*n**f - 1\/3*n**3 + 1\/6 + 1\/6*n**4 + 1\/6*n**5 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -112*o**4*w**2 + 2*o*w + 4*w**2 - 60 with respect to o.\nAnswer: -448*o**3*w**2 + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 17 = 4820*w - 4818*w, 0 = -8*w - 4*i + 140 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 678 - 396. Let r = -15 + n. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 3*m**2 + 5*m - 1. Let k be x(-4). Which is greater: k or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -82 + 2044. Suppose 0 = -7*t + 5*t + y. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -3*s + 22, -4*s - 109 = -5*c - 18. Solve 4*v + 5*p = -37, 3*v - 4*p + c = -6*p for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2118)\/(-5) - ((-144)\/(-40) + -3). Let o = 597 - d. Does 5 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -143*p + 571. Let l be a(4). What is the second smallest value in 1.2, 1\/5, l, 5, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12 + 0 + 0\/(-7). Suppose -5*q + 4*r + 2 = 0, 0 = -q + 4*q + 3*r - z. What is the lowest common multiple of q and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -31*a - 275. Let d be h(-9). Let z(i) = 4*i + 3. Let x(l) = 4*l + 4. Let o be (-2)\/4*(7 + -1). What is d*z(n) + o*x(n)?\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -205*p*u**2 - 601*p*u - 4*p - 4311558*u**2 wrt p.\nAnswer: -205*u**2 - 601*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -855 in 4.6, 5\/3, 4\/7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-444 - -440) + (-1 - -13) - (-11 - -1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25606 is divided by 8518.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 - 21*b + 4*b**3 - 4*b - 5*b + 27*b to the form v*b**2 + m*b**3 + u + d*b and give u.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1920334059?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -294 + 28. What are the prime factors of s\/18 + 15 + 313\/9?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 5*k**2 + k - 6. What is the tens digit of a(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 53.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -y**5\/60 - y**4\/24 + y**3\/3 - 2*y**2. Let s be h(-2). Suppose s = -n + 5*n. Which is smaller: n or 0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -354*t + 1. Let j(n) = -1068*n + 4. Determine -7*d(g) + 2*j(g).\nAnswer: 342*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -2\/31 (c) -1\/5 (d) -1410 (e) -2\/217\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -1. Let x(f) = f + 1. Let g(s) = -6*o(s) + x(s). Let n be 0*(-1)\/(1*-2). Does 7 divide g(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 + -19. Let t be (-1)\/(1*r\/(-50)). Suppose q = 6*q - t. Solve -2*m + m - v + 4 = 0, q*v + 6 = 5*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -182, -1, 15, 62?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 51 = -4*l + 3*l, -5*o = 5. Calculate the least common multiple of l and 20.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-1)*22\/(-33). Solve 0 = -o*d + 13 - 9 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1112\/7 = 160?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(170)*2)\/(sqrt(10) - -2*2*sqrt(10)).\nAnswer: -8*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9641 > 9644?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 3*n**3 + 30*n - 30*n + (10*n + 8*n - 24*n)*(-11*n**2 + 10*n**2 + 14*n**2) - n**3 - 3*n**2 + 3*n**2 + (-3*n + 0*n + 2*n)*(2*n - 2*n + n**2).\nAnswer: -77*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 368 a factor of 977408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*u + 75 = 98*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 912 + -966. Suppose 2*v + 129 = 19. Which is smaller: v or f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -20. Let d be (u\/(-48))\/((-3)\/8). What is the second smallest value in -3, d, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*m + 92 = 12 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 147561294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8558, -17151, -25788, -34469, -43194?\n\"Answer: -22*p**2 - 8527*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -5*z + 54, -2*i - 182 = -6*i - 3*z. Suppose 55*g = 59*g - i. Suppose -2*p - 3 + 9 = x, 0 = -5*x + 20. What is the lowest common multiple of g and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*z + 3 - 10 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10938 divided by -4.\nAnswer: 5469\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7683 is divided by 83?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15.3*-3.0908.\nAnswer: 47.28924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 19*v**2 - 2*v + 11. Let g be u(3). Let a = g + -90. List the prime factors of a.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -25, -58, -89, -118, -145, -170?\n\"Answer: i**2 - 36*i + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1165\/105 - (-66)\/54*(12 - 21)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1724 - -1724.1. Let p be (-2)\/(-5) - 12\/55. Let z = -4 - -6. What is the nearest to z in h, -0.4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.045? (a) -7 (b) 1\/6 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -27*g**5 - 291*g**4 - 1065*g**3 - 1245*g**2 + 792*g + 1836 = 0. What is g?\nAnswer: -34\/9, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 52439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 21738685 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -0.5, -5, -3 in increasing order.\nAnswer: -21, -5, -3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2.3 - -0.357\nAnswer: -1.943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 3*r**4\/5 - 189*r**3 + 78741*r**2\/5 - 1727139*r\/5 + 329868 = 0.\nAnswer: 1, 33, 85, 196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5463 (base 7) to base 4.\nAnswer: -132210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) - sqrt(33)*-1*3)\/(sqrt(15)\/((sqrt(5) - sqrt(15)\/sqrt(3)) + sqrt(5))).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1*-5*((sqrt(315)\/sqrt(9))\/sqrt(7) - sqrt(45)*1)*-3.\nAnswer: -30*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 78108 divided by -2\nAnswer: -39054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2549\/3 - -2554\/3. What is the closest to 1 in -2\/655, a, -2\/5, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 170.9 + -170.9. Which is the smallest value? (a) r (b) -3 (c) 0.03 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 12 - 19*j**2 - 3.\nAnswer: -19*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -10633 < 128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (9 + 0)*(-220)\/(-30) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 2*x**2 - 2*x + 4*x**2 + 2*x.\nAnswer: 2*x**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u + 0*u - 1 - 19*u**2 + 4*u**2. Let v be 3\/12*476\/(-119). Determine j(v).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19503 to the power of 1\/2, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 426280 + -426283. Let f = -0.2 - -0.1. Let l = 3 - 2.6. What is the closest to l in f, p, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20581 - -307481\/15. Which is greater: z or -81?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-1 - -2) - 2. Find the common denominator of ((-6)\/(-5))\/(1 - 5) and z\/(-3) + 748\/(-120).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -4*j + 4*v + 13, -2*j + 2*v = -8 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -141846 and 682?\nAnswer: -96738972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/1607085 and 85\/565372?\nAnswer: 1806363540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.81388 - -2.81388. Let f be -1 - -1 - 3\/(-27). Which is the fourth biggest value? (a) y (b) 0.12 (c) f (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*b - 26695 = -148610. Is b a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/2456 or -74731?\nAnswer: -74731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lq when two letters picked without replacement from {l: 1, q: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + o - 46 = 0, -2*o + 2 = 13*b - 12*b. Solve 3*d - 89 + 72 = -4*y, 0 = 2*y - b for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -510, -2044, -4602, -8184, -12790, -18420, -25074?\nAnswer: -32752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (-7 - (-5 + -10))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 12.3, -1, 3, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 6895381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 61103725 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 c be 72*2\/(-4)*-2. Let k = -851 - -1731. Suppose -c*y - k = -77*y. What are the prime factors of y?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**3 - 10*x**2 + 495*x.\nAnswer: -5*x*(x - 9)*(x + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2783713 or -2783712?\nAnswer: -2783713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 34772629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9027664 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -356\/7 (b) -0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5*(-6)\/(-330) - 13\/(-22). What is the fourth biggest value in 1\/4, f, 5, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1142, -2283, -3424, -4565, -5706?\nAnswer: -6847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 64\/(-12) - -6 - (-2)\/(-12)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 6:05 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63)\/(-135)*55 - 28.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 135 + -136.25. Let j = -1405163734 - -1405163735.250000517. Let p = s + j. Round p to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, v: 4, p: 8}. What is prob of picking 1 v and 2 j?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 22704443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10215579 and 231507?\nAnswer: 888755373","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13*5\/(-260)*12\/(-5)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3687005434 + 2*m**2 + 6*m**3 - 3687005434 - 2*m**2.\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 58973511?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31.9 - -27.93. Let t = 4.2 + w. Let s = t + -0.325. Round s to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -9. Let p(q) = -q**3 - 6*q**2 - 7*q - 3. Let o(v) = -5*v**2 + 2*v - 2. Let k be o(1). Calculate the least common multiple of p(k) and r.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 4*n + 63486 = 0, n = w - 0*n - 12681. What is the ten thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -849790, -3399121, -7647990, -13596391, -21244318, -30591765?\nAnswer: -41638726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18795 is divided by 127?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/310226 and -73\/23798766.\nAnswer: 166591362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8397.6 + 8401.6. Let b be ((-4)\/(-15))\/((-6)\/(-9)). Put -0.1, s, 15, b in ascending order.\nAnswer: -0.1, b, s, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**2\/9 + 1238*o\/9 + 20764 = 0. What is o?\nAnswer: -358, -261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 6*m**3 + 18*m**2 - 130*m + 365. Determine x(3).\nAnswer: 299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 5, -0.3, -2\/383?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 307\/4*f + 305\/4*f**2 + 1\/2 = 0. What is f?\nAnswer: -1, -2\/305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (0 - 2) + -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/70)\/(3933\/(-483)). Which is the closest to -3? (a) -5 (b) n (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -d**4\/4 - d**2\/2 - 1. Let t(k) = 5*k**3 - 2*k**2 + 3*k. Let q = 890 - 891. Determine q*t(f) - 4*z(f).\nAnswer: -f**3 + 2*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/15)\/v)\/v)\/(v\/v**(3\/4)*v) assuming v is positive.\nAnswer: v**(-187\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -25*w**2 - 19*w + 34. Suppose -5*y = y - 126. Let s be c(y). What is s rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 + 2.5. Let l = -20 + n. Round l to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.028 - -0.0280038. Round n to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*z - 3*n - n + 26716, 5*z - 2*n = 16702. What is the remainder when z is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*o**3 + 9120*o**2 + 18260*o = 0. Calculate o.\nAnswer: -2, 0, 1826","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-90)\/168 - 2365\/(-860).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.3? (a) -33 (b) 358 (c) 2\/11 (d) 0.5 (e) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141133987 is divided by 141133980?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - 59 + 2 - 38*l + 29.\nAnswer: -38*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, j: 6, q: 5, l: 3}. Give prob of picking 1 q and 1 l.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 49506, 49522, 49538?\n\"Answer: 16*l + 49490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 3*v**2 - v + 1. Let l be h(-4). Let x = l + 64. Let b be (3 - x)\/(0 - 1). What is the greatest common divisor of b and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255 a factor of 13091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a litre in millilitres?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63772*u**2 - u + 63837*u**2 + 0*u + u.\nAnswer: 65*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 49998 divided by 49998\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q + 14. Let o be v(12). Suppose -4*a - o = 2. Let s = a - -12. Does 2 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-10))\/(-9 - (-93)\/10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -48, -93, -156, -237, -336?\nAnswer: -453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 11*l - 10. Let a be p(8). Let i = a + -23. Suppose 2*t = 3*t - j - 3, -5*t + i = 5*j. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1870411042?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 2. Let g be w*2*(-4)\/(-8). Let z(o) = -6*o**g - 2*o**2 + o**2 + 2*o + 0*o**2 - 1. Give z(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 134662 + 3*d**2 - 134722 + 283*d**3 + 84*d**3 wrt d?\nAnswer: 2202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fsfmkkymkkmkffkykks. What is prob of picking 1 k, 1 s, and 2 y?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 - 21. Suppose -2*s = p*s - 7. Put s, 5, -4, 3 in decreasing order.\nAnswer: 5, 3, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**3 - 39*x**2 - 24*x + 23. Let r be j(20). Let i = r - -61. Solve -i*v + 17 = -g, 2*g + 10 = 5*v + 3*g for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4367408.\nAnswer: 2, 89, 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -5*u + 16, 0*u - 8 = -u - 4*z. Suppose -u*h - 2 = 6. Let o be h*3*20\/(-12). Calculate the greatest common factor of 70 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/700*15*(-32)\/(-12)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -849 divided by 261645.\nAnswer: -283\/87215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/15, 0.3, 0.6 in increasing order.\nAnswer: 4\/15, 0.3, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/9)\/((-2)\/6). Let q be 1\/2 + 0 + g. Sort q, -4, 2 in increasing order.\nAnswer: -4, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 5*m + 9 - 27 = 2, 2*m = -6*f + 30 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.6, -0.4, 5144?\nAnswer: 5144","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -6*u - 1. Let b be a(-1). Let k be 18 - (-2*(-3)\/6 - -2). Solve 2*o + 2*i + 6 = i, -b*o - 3*i - k = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -264*k**2 - 198*k + 33. Let p(q) = -6*q + 1. Determine -66*p(b) + 2*t(b).\nAnswer: -528*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2\/5 - 837*l\/5 + 4914\/5.\nAnswer: 3*(l - 273)*(l - 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/12 - (-3)\/2. Let q(i) = 3 + 2*i + 0*i**2 - 2*i**2 - 8*i + i**f. Let z be q(-6). Solve 3*j = 3*g, -3 = z*j - 0*j for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 38*s = -41*s - 1381, 8*d - 5601 = s. Is 47 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-470)\/15)\/((-4)\/24) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7\/(-14)*92\/(-2). Suppose a - z = 8*n - 3*n, -4*a - 4 = 4*n. Solve m = a*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*a**5*y + 21*a**3*y + 7*a**2 - 39*a*y + a + y + 1 wrt a?\nAnswer: -180*a**3*y + 126*a*y + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**2 + o. Let j be (-2)\/12 - (-26)\/12. Let p be 0\/j - 4\/(-2). Let z(m) = -m + p + 0 - 2 + 2*m**2. Give -4*a(c) - 5*z(c).\nAnswer: -2*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123422 (base 9) to base 7.\nAnswer: -430535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -5*x**3 + 2*x**2 + 2*x. Let f(i) = i**3 + i**2 - i. Give c(s) + 2*f(s).\nAnswer: -3*s**3 + 4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52)\/((-5824)\/252) + (0 - (-316)\/(-176)).\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*u**2 + 3*u + 6*u**2 - 29*u**2 as p*u + l*u**2 + s and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -8. Let f = u - 1. Which is the second biggest value? (a) 0.4 (b) f (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*q = -5, 4*p - 5*q - 24 = 9. What is the lowest common multiple of 3\/9*-3 + p and (-1 + -1 - 15)*-1?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 x when two letters picked without replacement from xxxllxxxxl.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -195, -791, -1785, -3177?\n\"Answer: -199*j**2 + j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9340 + 7.\nAnswer: -9333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*i**3 + 66 - 130 + 64.\nAnswer: -7*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18466172 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/(-56))\/(0 + -2).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*h - 29261 = -37023 - 142110. List the prime factors of h.\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (9 - 14) + 3 - (-12 + 2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4*u - h = -80, -h = 5*u + 144. Does 8 divide (-8)\/u + 304\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 3*o - 8*o - 6, 4*f = -5*o - 14. Let b(q) = -3*q. What is b(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 9*o**3 - 17*o**2 + 15*o + 13. Let c(u) be the third derivative of -u**6\/30 + 2*u**5\/15 - 7*u**4\/24 - u**3 + 28*u**2. Calculate 13*c(k) + 6*d(k).\nAnswer: 2*k**3 + 2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u + 2. Let n = 137 - 119. Suppose 12*z = -18 - n. What is r(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -4.498 times 6.1?\nAnswer: -27.4378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14989 is divided by 1391.\nAnswer: 1079","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m**4 + 332*m**3 - 27*m?\nAnswer: 12*m**2 + 1992*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, -5\/7, -3\/7.\nAnswer: -5\/7, -3\/7, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -85792376, -85792375, -85792374, -85792373, -85792372, -85792371?\n\"Answer: a - 85792377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -u - 2*r + 23, -3*u + 3*r = -18. Let n = 0.23 + -12.23. Let i = -8 - n. Which is the closest to 1? (a) i (b) u (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 819 + -823. What is the third biggest value in -2\/9, -5\/3, r, -1\/7?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4, -5, 172, 2\/5, -0.1, 1\/3?\nAnswer: 172","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4118 and 1014942.\nAnswer: 72060882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 153 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -8*c**3 - 3*c**2 - 3*c - 3. Let y(w) = 0*w - 79*w**2 + 0 + 9*w + 2 + 81*w**2 - 7*w + 8*w**3. What is -2*v(f) - 3*y(f)?\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1522 - -268?\nAnswer: 1790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w**3 - 3*w**2 + 4*w - 2. Let i be s(2). Let x = 30 + i. Suppose -5*g - k = -271, 0 = -4*g - x*k - 5*k + 221. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*x + 1726350 = 133*x. Is x a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/(-15)*1\/(-12)*-6?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 102397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, w: 4}. Give prob of picking 4 w.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42 or 95?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 270578272 > 270578272?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -64\/55317 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 103 = -6*i - a, -2*i = a - 53. Suppose -2*l = -8, -8 = -3*d - 3*l + i. Let h be (-1)\/(-3) - 2\/6. Solve -d*v + 3*v - 12 = h for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6727?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3225369 and 460767.\nAnswer: 3225369","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4148755*k. Let i(t) = 11*t**2. Determine h(i(s)).\nAnswer: 45636305*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 40 = 3*x, -7*x - 20 = -6*x - 5*a. Solve -5*s + 15 = x*p, -30*p = -31*p - 5*s - 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 1\/6 (c) -0.5 (d) -4\/3 (e) 3.3 (f) -0.9 (g) 0.67\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -922227 - -262227. Round y to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1644158490338 and 22.\nAnswer: 1644158490360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*(n**(-1\/17)\/n)\/n*n*n**(-1)*((n\/(((n*n**3*n)\/n)\/n))\/n)\/(n**(6\/5)*n) assuming n is positive.\nAnswer: n**(-532\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 11787.\nAnswer: 4\/11787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = g + 2*k + 213, -1150 = 5*g + 2*k. Suppose -6*z = -2062 - 272. Let p = g + z. Is p 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 1690 and 10?\nAnswer: 1690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -0*b + 6*b. Let w be 80\/6 - (b\/12)\/2. Suppose -43 = 2*l + 3*m - 170, 0 = 5*l + 2*m - 290. Calculate the highest common factor of l and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-56))\/((-12)\/21).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 1:13 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 9:43 AM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -129 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 332*w + 210*w - 37*w to x + c*w and give c.\nAnswer: 505","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/141, 0.5, -2655 in decreasing order.\nAnswer: 0.5, 1\/141, -2655","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 4\/11, -2586, 0.4 in ascending order.\nAnswer: -2586, 4\/11, 0.4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -69.3 to the nearest integer.\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 16 + 4aa1?\nAnswer: 4ab7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 70 - -253. Let q = -524 + 541. Calculate the greatest common factor of q and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 6*x + 9*x = 6, -4*x + 8 = 300*i - 305*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -2330310?\nAnswer: -2330233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3719251*n**3 - 6*n**2 + 289*n + 460?\nAnswer: -22315506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 2*g + 8 = 0, -3 = 5*t - 4*g + 43 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -10*x. Calculate the remainder when 17 is divided by r(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + 1)\/(-1) - -1. Let t(q) = 6*q**3 + 3*q**2 + 8*q - 1. Let h(x) = 5*x**3 + 2*x**2 + 7*x - 1. Let k(z) = -5*h(z) + 4*t(z). Give k(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f**(-1\/3))\/f)\/(f**(-5)\/f)*f**(-2\/21)*f*(f**(2\/7)*f)\/f)**(-3\/5))**(-2\/79) assuming f is positive.\nAnswer: f**(288\/2765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8825)\/353 - (-634)\/22?\nAnswer: 42\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2.08, -9\/26 in descending order.\nAnswer: -9\/26, -2.08, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 58 + -407\/7. Let k = 3 + -4. Which is smaller: x or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4131180*n*u**2 - 7085085*n wrt u?\nAnswer: 8262360*n*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4*m - 1. Let n(u) = 11*u - 4. Let f(p) = -3*n(p) + 8*t(p). Let j be f(-5). Suppose 0 = -3*i + j. Let x(k) = 2*k + 1. Calculate x(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 40*x**3 - 14*x**2 + 23*x wrt x?\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2067214, -4134387, -6201560, -8268733, -10335906?\n\"Answer: -2067173*y - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 125766821.1 to the nearest 10000.\nAnswer: 125770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 3:46 PM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of a**6\/12 - a**5\/30 + a**3\/6 - 117*a**2 + 4*a - 5. Let i be (-2)\/(-3)*12\/8. Give q(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 430991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 divided by -11839?\nAnswer: -24\/11839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - 7*j + 38991. Give a(196).\nAnswer: -797","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10870 by -10870.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.02 + 0.01. Round i to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 4*g**2 - g + 5. Let c(b) = b**3 - 8*b**2 + 2*b - 12. Let w be c(8). Suppose -4*m + 2*k = 3*k - 21, w*m + 3*k = 23. Does 31 divide l(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22 - -166 - (-1 + 2)?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (4 + 0 + 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + g - 458 = 0, -3*w + 729 = 2*g - 646. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 573463 is divided by 143338.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**5 - 19*n**4 - 2*n**3 - 474*n + 2 wrt n.\nAnswer: -20*n**3 - 228*n**2 - 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 20825, 41649, 62473, 83297, 104121, 124945?\n\"Answer: 20824*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*q + 5 = 0, 3*m + 1 = 5*q - 0. Let n(x) = 3*x - 1. Let c(y) = 2 + 2*y - 2*y - 10*y. Let g(w) = 2*c(w) + 7*n(w). What is g(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.58311 + 1.5898981. What is w rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(2\/15)*h))\/h**(-1\/3)*(h*h**(-3\/5))\/h**(3\/2))**50 assuming h is positive.\nAnswer: h**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 74774\/9 + -8308. Which is the fourth smallest value? (a) -0.01 (b) w (c) 3 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-9)\/(q*q**10\/q*q*q))\/((q\/(q\/(q**1\/q)))\/q**5) assuming q is positive.\nAnswer: q**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -91*z**5\/120 - 5*z**4\/24 - 11*z**3\/6 - 4*z. Let s(t) be the second derivative of c(t). What are the prime factors of s(-1)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 5 + 32898*x**3 - 2 + 9.\nAnswer: 32898*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 436.637 millennia?\nAnswer: 436637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -252 - -263. Let t(d) = d**3 - 8*d**2 - 34*d + 15. Let w be t(k). Solve -n - 4*m = -5*n - 8, n - w*m = 7 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/(-10))\/((-2)\/40). Let w = 163 + -185. Let j be 0\/o - (-1 + w). Solve -t = g - 4, 0 = -4*g + 4*t + 1 + j for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-52)\/8 + 11 - (-2)\/4. Suppose 5 = 2*a - v, u*v - 15 = -a + 3*v. Solve -3*r - 20 = -a*l, -4*l = -0*l - 5*r - 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 18*d**2 + 16*d + 30. Calculate the remainder when 21 is divided by l(17).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2 + (sqrt(11) - (5 + sqrt(275)))**2*-5 + (-1 + sqrt(176))*3 + 5).\nAnswer: 1128*sqrt(11) + 6030","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a5181 (base 11) to base 9.\nAnswer: -253225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 2*k + 20. Suppose 8 = -2*j + 2. Let a be j\/(-12) + 11\/(-44). Let u be n(a). What is the highest common factor of 30 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 times 449615.5?\nAnswer: -8992.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1088593.\nAnswer: 11, 98963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/9 of a day?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0119103 rounded to three dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 278987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -11 + 0*k**4 - 11*k**2 + 0*k**3 - 1\/30*k**5 + 0*k. Let s(r) be the second derivative of m(r). Let a(i) = 2*i. Give a(s(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7 + 6)\/((-2)\/10). Suppose -5*f + 22 - 7 = 0, -q*f + 37 = 2*j. Find the third derivative of 6*p**2 + j*p**3 + 17*p**2 + 0*p**3 wrt p.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44 - -47. Suppose 0 = -o - t - h*t - 14, t + 42 = -3*o. Let u = 14 + o. Solve -3*p = 4*n - 7, u*n = 2*n - 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.36 - 10.66. Let w = h - -9.1. Which is the biggest value? (a) -5 (b) w (c) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: (6\/357)\/((-136)\/14*(-4)\/(-16))\nAnswer: -2\/289","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of 0*i**4 + 1\/15*i**5 - 2*i**2 + 0 + 1\/20*i**6 + 0*i + 0*i**3. What is the third derivative of u(l) wrt l?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 996 = -970. Calculate the remainder when 4366 is divided by c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/2179, 3, 1\/5, 6?\nAnswer: 2\/2179","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1436, -3081, -4722, -6359, -7992, -9621, -11246?\n\"Answer: 2*z**2 - 1651*z + 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 273*v + 54618. What is i(-200)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -239a651 (base 11) to base 12\nAnswer: -1492520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -4. Let w be 18\/61 + 2\/16*0. Let q = 356\/793 - w. Which is greater: q or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -2*n - 2, 0*n - 2*n = -4. Let x = 0.3 - 0.3. Let u = x - 0.2. Sort u, -1\/4, q in descending order.\nAnswer: u, -1\/4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2007 at most -18065\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 5*c**2 - 83*c + 524. Let h be y(6). Which is greater: 1689\/4 or h?\nAnswer: 1689\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 103.9633 + 0.0367. Let f = -108 + z. Which is the second biggest value? (a) f (b) 1 (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (16\/15 + 4\/12). Which is the third smallest value? (a) v (b) -27 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 10962 and -43.\nAnswer: 10919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(-5 - -6)*(1 + 1). Let j = 67 - 51. Is 23 a factor of 4766\/j + q\/(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q - 5. Let z be (2\/10 + -1)\/((-12)\/180). Suppose 4*r = z, -3*y + 0*r = -3*r + 81. Let m be ((-8)\/y)\/(2\/30). Determine x(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + 21*f - 20. Let p be b(20). Suppose -n = p, -3*k + 2*k + 6 = 3*n. Suppose 0*h - 156 = -k*h. What is the remainder when h is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -16 (b) 0.59 (c) 2\/7 (d) -0.1 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 10:28 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.61 - 18.39. Let q = -21 - g. Which is the second biggest value? (a) 1\/5 (b) -5 (c) q (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -10*s**2. Let q(h) = 51*h**2 + 36*h**2 - 143*h**2 + 36*h**2. Give q(u(w)).\nAnswer: -2000*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -u**2\/2 + 4*u + 3. Suppose -20*f = -22*f - 12. Let m(i) = i - 5. What is f*q(g) - 5*m(g)?\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -3*t + 5. Suppose d + 2*d = -273. Let y = -66 - d. Solve -t*n = 5 - y for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**2 - 5*f. Let y(c) = -c**3 + 4*c**2 + 104*c + 588. Let o(u) = 3*v(u) - y(u). Factor o(z).\nAnswer: (z - 12)*(z + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/8 + 25471*i**2\/4.\nAnswer: i**2*(i + 50942)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*u - 4*u**2 + 27*u.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*d**3 - 52*d**3 - 55*d**3 + 166*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3*(-14745)\/(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1608.66439 rounded to 0 decimal places?\nAnswer: 1609","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -23550, -8955, 5654, 20283, 34938, 49625, 64350?\n\"Answer: t**3 + t**2 + 14585*t - 38137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 436 + 104 = 9*c. What is the remainder when 656 is divided by c?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 316767509?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -21828, -22363, -23820, -26661, -31348?\n\"Answer: -77*x**3 + x**2 + x - 21753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 32*n**2 - 91*n + 12. Let d be a(-29). Calculate the greatest common divisor of 384 and d.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 12 (b) -4 (c) -209\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25345382303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -6*o + 1. Suppose 7*p + 21 = 462. Suppose -5*q + 88 = p. Calculate f(q).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 1 (c) 5 (d) -243 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79, -154, -229, -304?\nAnswer: -379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 583 is divided by 137.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 13*b**2 - 11*b - 11. Let t be v(-13). Suppose 2*i - t = -i. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 11 - w - 10 + 0 as b*w + v and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -5. What is the third derivative of -n**2 + w*n**2 - 5*n**5 + 0*n**2 + 0*n**2 wrt n?\nAnswer: -300*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156639034763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((2\/6)\/((-4)\/4))\/(-1). What is the smallest value in h, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**5 + 3*y**5 - 3*y**5 - 37*y + 37*y - 2*y**5 + 5*y**2 - 5*y**2 + 3*y**5 + (0*y**3 + 2*y**3 - y**3)*(-2*y**2 + 0*y + 0*y).\nAnswer: -3*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d48 + 3?\nAnswer: -d45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 5*u + 728 = 753, 0 = t + 3*u - 15 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 81869606 divided by 12\nAnswer: 40934803\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 539*i**2 + i. Let f be t(1). Suppose -v - 4*w - f = -3*v, 4 = 4*w. Let o = -170 + v. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j - j + 4*j - 2*j + 3*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*t + 34 - 11 - 20 to n + c*t and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 - 23. Suppose -2*b - x = -5, 2 = 3*b - d*x + 1. Solve -b*o + 4*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -t + 2, 0 = 2*i + 4*t - 4 - 16. Suppose -17*y = -21*y + 3*w + 3511, 2*y - 1752 = -i*w. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 322795 = 322796?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.27288221 rounded to one decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/8*(4 - 0). Suppose -71 = -f - b, -4*b + 39 + 101 = v*f. Does 12 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -d0658 (base 16) in base 3?\nAnswer: -1121100220112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325) + -4 + sqrt(325) + -1 + sqrt(325) - sqrt(325))**2 + (4*3*sqrt(156))\/sqrt(12))*-6.\nAnswer: -7950 + 528*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(1512\/9443) + (-520)\/(-540) + -1?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-5) - (-104)\/160. Let q = -0.01 - -3.01. What is the closest to k in 0.5, 4, q?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.1 - 2.9. Let o = 4 - 5. Which is the nearest to o? (a) s (b) -3 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 17 + 18*u + 9.\nAnswer: 18*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002245398 to 7 decimal places.\nAnswer: 0.0000225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2843 + 125?\nAnswer: -271a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (446*o - 2363*o + 640*o + 1)*(-2 + 6 - 2) as i*o + y and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 + 35\/2. What is the third biggest value in -3, y, 5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -2*o**2\/5 - 27008*o - 455895040 = 0?\nAnswer: -33760","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -38*n**2 + 5*n - 7. Let c be p(3). Let z = -286 - c. Calculate the remainder when z is divided by 21.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**3 + 62*u**2 + 11*u + 1. Let s(k) = -k**3 + 41*k**2 + 7*k + 1. What is 11*s(o) - 7*z(o)?\nAnswer: 3*o**3 + 17*o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*s**3 + 42*s**3 - 8 + 3 + 5.\nAnswer: 177*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -156. Let j = 152.00256 + r. What is j rounded to four dps?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -977*y + 80. What are the prime factors of u(-2)?\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 242 divide 470433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 15 = 79. Let i be (-1286)\/(-10) + t\/(-40). Suppose -69 = -3*b + i. Is b a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 148988117113 and 48.\nAnswer: 148988117161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90012725?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 276291 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39092?\nAnswer: 2, 29, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s + 18. Calculate r(-26).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (4320\/(-1136))\/(-18)*(2886\/(-195))\/(-37)\nAnswer: 6\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s - 1. Let l(b) = -12*b + 12 - 14 - 15 + 9. Suppose -16 = -h - h. Give h*t(c) - l(c).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2982 greater than 2981?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -5*c**3 + 32*c - 1 + 36 - 28*c**2 + 3*c**3. Let z be g(-15). Sort -5, -1, z, -3 in descending order.\nAnswer: z, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10102 + 22?\nAnswer: 10201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -4*l - a + 188, 3*a = l - 61. Find the first derivative of 33 - 40*o - l + 31 wrt o.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*h**3 + 5*h**2 - 85*h + 75 = 0. What is h?\nAnswer: -5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 3.99. Let n = 0.99 + w. Let y = -15 + 11. What is the biggest value in 2\/7, n, y?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**4 - 3*u**2 - 4*u**2 + 0*u**4 + 3*u + 9*u**2 - 2*u**3 to k*u**3 + f*u + w*u**4 + d*u**2 + r and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -2.5. Let o = -83 + 82. Suppose 0 = -5*s, -2*q - 1 = -3*s - 7. What is the closest to o in q, 0.3, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - -1. Let d(l) = -5*l**3 + 4*l**3 + 5*l**2 - 11 + 0*l**3 - 2*l - m*l**2. Calculate d(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*o**4 - 28*o**3 + 172*o**2 - 68*o - 264 = 0. Calculate o.\nAnswer: -11, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**5 - 2*p**4 + 2*p**4)*(-2 - 3 - 6) + p**5 + p**5 - 1 + 3.\nAnswer: -20*p**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.34, -255, -1.\nAnswer: -255, -1, 0.3, 0.34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 less than -250741?\nAnswer: -250747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -114347, -914802, -3087467, -7318448, -14293851, -24699782?\nAnswer: -39222347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + 0. Suppose 0*n - 16 = -4*f + 2*n, 4*f - 16 = -2*n. Suppose f*q**3 + 6*q**2 + 2*q + m*q**3 - 4*q**3 = 0. Calculate q.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 - 4)*(-221 + 111 - 20*l**2 + 109)*((0 - 2 + 4)*(1 + 0 - 2) - 1 + 0 + 2 - 3 + 2 + 7) as m*l**2 + y*l + b and give m.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k = 12*k + 128. Let i be (-2)\/4 + 156144\/k. Round i to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*c + 789*c = 5976 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110012 - 12?\nAnswer: -110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3 = 0, -n = 2*s + 3 - 18. What is the remainder when 464 is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*a - 3*a + 2*a + (5 - 3 + 0)*(2*a + 2*a - 2*a) - a + 2*a - 3*a + (-2*a + 0*a + 3*a)*(2 - 12 + 3)*(0 + 3 - 5) to m + y*a and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 25554 - 575 = 5*y, 4*r - 2*y = -33338. Put 1, r, -4 in descending order.\nAnswer: 1, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*a - 4, -8*g + 3*g + 5*a = 0. Factor -s + 0 + 4*s - 3 + 10*s**g - 7*s**2 - 3*s**3.\nAnswer: -3*(s - 1)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46445392888 + -19?\nAnswer: 46445392869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 6 = 21. Let k(j) = -j + 9. Let b be k(s). Suppose 4 = 5*x - c, 0*c - 8 = -x + 2*c. Is b less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6719486?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11685 - 11681. Factor 3\/2*b + 0 - 3\/4*b**z - 3\/4*b**5 + 9\/4*b**3 + 15\/4*b**2.\nAnswer: -3*b*(b - 2)*(b + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 75 - 52. Let i = -23 + p. Let k = 0 + -1. What is the third smallest value in k, i, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**13)**(-34)*(f**(-16)\/f)\/((f\/(f*f**(-37)*f))\/f) assuming f is positive.\nAnswer: f**(-494)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 584 + -584.00000692. Round p to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 3 = -r, 0 = 5*o + r - 128. Let v = 36 - o. What is the second derivative of -2*g + 5*g - g - v*g**2 + 4*g wrt g?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**3 - 3*a**2 + 4*a + 1. Calculate the remainder when 98 is divided by p(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -52*o**2 - 66*o - 110. Let u(x) = 17*x**2 + 23*x + 33. Determine -3*q(c) - 10*u(c).\nAnswer: -14*c**2 - 32*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.5 - -6. Let o be (-10)\/36 + 2\/(-9). What is the closest to o in 0, -4, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(900\/6))\/((-2)\/(-6))\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -12179, -12089, -11999, -11909, -11819, -11729?\n\"Answer: 90*y - 12269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4059 is divided by 338.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 76308 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 5 = 2*t - 4, 0 = -4*h + 5*t - 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1)\/(-20))\/(300\/28680) - (4 + 1) and 113\/750.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, l: 3, b: 6, j: 1, u: 3}. What is prob of sequence buu?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 39.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 26643400387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -38 + 18. Let k = -6 - -10. Solve 2*r = -3*r + k*s + 9, j*r = -2*s + 28 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - p + 1. Let j(y) = 17*y**3 + 7*y**2 - 13*y - 47. Let x(g) = 3*h(g) + j(g). Let o be x(26). Is (o\/(-56))\/(-1) - (-3)\/(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(192))\/sqrt(12))\/sqrt(8))**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of 619*o**5\/20 - 1221*o**2 + 471*o - 1. Differentiate d(b) with respect to b.\nAnswer: 1857*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 + 5*w + 4. What is v(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 z, and 1 x when three letters picked without replacement from {e: 2, z: 1, x: 2, i: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -t**3 + 2*t**2 + 732376*t + 37474694 wrt t?\nAnswer: -3*t**2 + 4*t + 732376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4180\/931*2730\/75. Factor -2\/7*a**3 + 2704\/7 - g*a - 100\/7*a**2.\nAnswer: -2*(a - 2)*(a + 26)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4487122 (base 9) to base 15.\nAnswer: 32be02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/11? (a) -3 (b) 1\/4 (c) -2 (d) -62\/7 (e) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -670*j + 669*j + 15 - 2 = 0 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2581*a**3 - 2*a**2 + 2619*a**3 - 632*a - 5198*a**3 to f*a**2 + q*a + n*a**3 + z and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + 0\/(-9))\/4. Solve q*v = -v - 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 477154021 to the nearest integer?\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-5*(-1 + sqrt(704)) + 3 - (sqrt(704) + 1 + 4)*3)*5 + -3)**2.\nAnswer: 27520*sqrt(11) + 1128249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -29\/8 in -3.9, 5, 5\/23?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1\/3, -2, 0.4, 5, -0.666078 in ascending order.\nAnswer: -2, -0.666078, -1\/3, 0, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jvvjvvjjxvvvjvxx. Give prob of picking 3 x and 1 j.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26*k**3\/7 - 228584*k**2 - 24617969298*k\/7 + 3787417764\/7.\nAnswer: -2*(k + 30771)**2*(13*k - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16789?\nAnswer: 103, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -3, -2, 70 in decreasing order.\nAnswer: 70, 4, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**4 - 444*j - 3*j**2 + 221*j - 4 + 2 + 3 + 224*j - 5*j**3 in the form k*j + l*j**3 + h*j**4 + u*j**2 + f and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1366 + -0.136596442. Round g to seven decimal places.\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 180, 93, -70, -309, -624, -1015?\n\"Answer: -38*v**2 + 27*v + 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6209 + -3898. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 5175679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 - 15*a - 47. Let l be z(-5). Suppose l*h = -21*h + 14736. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2006 (base 15) to base 9.\nAnswer: 10236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -65003, -64837, -64671?\n\"Answer: 166*m - 65169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus -0.1836631?\nAnswer: 0.0836631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r + 10 - 22 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4431275, 4431304, 4431333, 4431362?\n\"Answer: 29*y + 4431246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*y = -80*y - 40365. Sort 16, y, -2 in increasing order.\nAnswer: y, -2, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -10 - (0 - -20) - -19 - 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3 - 452*g**2 - 3520*g - 6976.\nAnswer: -2*(g + 4)**2*(g + 218)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 7:48 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6148 and 3180.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 8. Let k be ((-28)\/21)\/((-44)\/6). Which is the nearest to -1\/3? (a) t (b) k (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 14) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3348919372.\nAnswer: 2, 837229843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6235.537ng to micrograms.\nAnswer: 6.235537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 39613.08 millilitres in litres?\nAnswer: 39.61308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1624, 486, 3.\nAnswer: -1624, 3, 486","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of g**5\/60 - g**4\/3 + g**3\/6 + 3978*g**2. Let s(c) = c - 4. Let b be s(13). Determine t(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 35 + 101 = 0. Let x = f + 172. Let t = 378 - x. What are the prime factors of t?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*v - 50*v = -122. Which is smaller: -40\/899 or v?\nAnswer: -40\/899","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1669081?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vzcouuu. What is prob of picking 3 v?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)*1)\/sqrt(12) - sqrt(216)*-4)\/((sqrt(3) + sqrt(300) + (sqrt(300) + sqrt(300)*-2 - sqrt(300)) + sqrt(300))*6*6).\nAnswer: 25*sqrt(2)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) -8 (c) -1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) + (sqrt(121) - (sqrt(121) - sqrt(121)*2) - sqrt(121))*6)*2)\/((sqrt(11) + sqrt(66)\/(sqrt(6) - sqrt(6)*4) + sqrt(11))*1).\nAnswer: 42*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 509 divided by 1.\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 448, -5, -4, -1, 13.\nAnswer: -5, -4, -1, 13, 448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 1)*(-124*h - 5*h**5 + 126*h - 3*h**5).\nAnswer: -32*h**5 + 8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 210389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b. Let n(q) be the second derivative of -4*q**3\/3 + 27*q. Calculate 22*g(c) - 6*n(c).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 7*u**2 + 8*u - 9. Let q be k(6). Suppose 3*r = 5*r - 120. Suppose 0 = -q*f + f + r. Does 15 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -r**5\/20 - r**4\/3 + 2*r**3\/3 + 4*r**2 + 3*r. Suppose -h = 2*y + 7 + 2, -y = 3*h + 22. Is o(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -6 - 4 - -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -5890 > 87377?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 31073070 to the nearest one million.\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 - 2)*(5 - 5 + 2*s)*(26*s - s**3 - 11*s**2 + 13*s**2 - 18*s) to the form l + o*s**2 + c*s + u*s**4 + w*s**3 and give o.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 30256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4558 is divided by (-4200)\/(-252)*(-24)\/(-10).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-136729)\/11238 + (-14)\/(-1)?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/2)\/(-3))\/((2128\/336)\/((-2)\/15)).\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, u: 2, y: 5}. Give prob of picking 1 z and 1 u.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78, 81, 84, 87, 90?\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.25079 to one decimal place.\nAnswer: 28.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -c**4\/12 + c**3 - 27*c + 1. Let k(n) = -2*n**2 + 3*n + 14*n - n**2. Determine -6*k(g) + 17*u(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**2 - 34*u + 189*u + 112*u - 2 + 274*u to the form h + t*u + w*u**2 and give t.\nAnswer: 541","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 207 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a millennium in centuries?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-94)\/8)\/(3045\/(-696)*2\/(-14))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-8) + 7\/(-4). What is the common denominator of -57\/20 and x + -1*(-213)\/(-30)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39 + -16. Let i(w) = -300*w - 1729. Let a be i(-6). Suppose -3*z = -a + p. What is the highest common divisor of 16 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 319994, 319996, 319998, 320000, 320002?\n\"Answer: 2*w + 319992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 1871*x - 2 + 6 + 3741*x - 1877*x.\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4b642b + -5?\nAnswer: 4b6426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n - n - n + 12 - 2*n. Calculate the remainder when v(5) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(605) - (5 + 1*sqrt(605)) - (3 + sqrt(605) + sqrt(605) + 2*sqrt(605))**2.\nAnswer: -9694 - 264*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/4 - w**2\/2 - 5*w\/4 + 3\/2.\nAnswer: (w - 3)*(w - 1)*(w + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + (0 + ((sqrt(252)*1 + sqrt(252) - sqrt(252)) + -3)*3)*-1 + 5)*-4.\nAnswer: -312 + 432*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/56 and ((-4)\/(704\/275))\/((-7)\/(-4)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 8 = -4*v. Let c = 3 - v. What is the derivative of x - 2 + x + c wrt x?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3070734 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-32) - 34\/(-8). Let l = 12\/119 - 2\/357. Let f = -0.11 + 0.21. Which is the closest to f? (a) d (b) l (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -8 + -6 + 5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 435, -1, -5 in descending order.\nAnswer: 435, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1844*s + 1811*s + 66 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.8 - -1.05. Let n = q - -1.6. Let j = 0.85 - n. Which is the nearest to 1? (a) -3 (b) 2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + 5*v - 5. Let m be (v + 0)\/((-4)\/8). Let h(d) = -d**2 - 2*d - 3. Let y be h(m). Which is greater: y or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h*j**4 + 2*h*j**2 - h*j + 13*h + 27*j**4 - 6*j wrt j.\nAnswer: 12*h*j**2 + 4*h + 324*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 79 + 115. What are the prime factors of l?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 742 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**2 + 48*o - 19. What are the prime factors of f(15)?\nAnswer: 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f = -3*m - 3*f + 20, 4*m - f = 4. Let d be (0 + -2)\/(3*-1). What is the closest to 2\/3 in 0.2, d, m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of q**6\/480 + q**5\/48 - q**4\/16 - 96*q**2. Factor o(m).\nAnswer: m*(m - 1)*(m + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 6 + 3 = 0. Suppose l - g*l + 96 = 0. Is l a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10110010110110001 (base 2) to base 12.\nAnswer: 44ba9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 65765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3\/7, -2\/7, -3\/4, -26?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 4684*i - 5390. Give v(2).\nAnswer: 3978","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -3 - (38\/133 - 2636\/14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 1 + 1)*(-13*m + 184 - 184)*(-51*m - 69*m + 87*m).\nAnswer: -429*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -0.6, -1, -0.5, 1\/4, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 169 divide 10337899?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**4 - 3*f**4 + f**4)*(-69 - 134 + 109 + 5 + 2 - 5 - 3 + 1 + 3 + (-5 - 2 + 5)*(-1 + 6 - 4) + 0 + 2 - 3 + 3 + 2 - 3 + 0 + 1 - 2).\nAnswer: 93*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 439 divide 38841842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.04085192823 to 5 decimal places.\nAnswer: 0.04085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -296 (b) -2 (c) -2\/9 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -546? (a) -9\/4 (b) 567 (c) 0.4 (d) 4\/5 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that r**5\/5 - 74*r**4\/5 + 712*r**3\/5 - 1206*r**2\/5 + 567*r\/5 = 0.\nAnswer: 0, 1, 9, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 6 = -2*m + c, -5*c = -2*m + 6. What is the closest to 2\/11 in -1, -1\/4, m?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2349, 2367, 2397, 2439?\nAnswer: 2493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 996845467?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2984003\/9 or -331557?\nAnswer: -2984003\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 94829 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/17616 and -47\/69864.\nAnswer: 51280176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 15 = -21 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*p**3 + p**2 + 172*p.\nAnswer: 66*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -1607c5?\nAnswer: 1607c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.065 - -8.865. Let x = o + -7.8. Which is the nearest to x? (a) 2\/3 (b) 0.5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 85279877*s**3 + 12*s - 666991 wrt s?\nAnswer: 511679262*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 278999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.04, -139 in increasing order.\nAnswer: -139, -4, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**2 - 20*i - 37. Calculate q(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -707*t - 116 = -5*i - 706*t, 5*t + 30 = 0. Solve -2*z = -6, -2*f - i = 3*f + z for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/2)\/p)**(2\/25))**(-1\/4) assuming p is positive.\nAnswer: p**(1\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 take away 19724.9?\nAnswer: -19725.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 2)*(1 + 4 - 2)*(-p - 6*p + 5*p) in the form c + n*p and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0111686711 rounded to six decimal places?\nAnswer: -0.011169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -16939 (base 11) to base 5\nAnswer: -1230013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 310 = -4*w + 49, -4*t = 4*w - 320. Suppose 255 = 5*u + 3*m, u + 25 - t = -2*m. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 152\/1449 + -2\/207. Sort -1\/2, -2, -8, 2, n.\nAnswer: -8, -2, -1\/2, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1086.9 - 1204. What is b rounded to the nearest integer?\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 4*c - 2. Let y(t) = 8*t + 4. Let k be y(1). Suppose 2*z - k = -2*z. Give v(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 2*x - 45, d + 3 = -2. Let z = -6 + x. Let f = -31 - -30.7. What is the nearest to -0.1 in -3\/7, f, z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5652908 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 9. Let s be (4\/2)\/((-6)\/q). Let v = -53 - -48. Sort v, -1, s in decreasing order.\nAnswer: s, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - a = t + 10, 0 = 5*t + 3*a - 4. Suppose 0 = -w - 5 + t. What is the third biggest value in -1\/7, w, 10?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**2 + r. Let y be l(-1). Does 7 divide (-193)\/(-4) + y\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.9 in -1\/2, 7\/2, 0.4?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2 + 161*l + 3239. Calculate d(-41).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4*v**3 - 3*v**2 + 3*v - 4. Let q(i) = i**2 - i + 1. Suppose 18*y + 12 = 22*y. Give y*q(w) + d(w).\nAnswer: 4*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*k - 64 = 12 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3\/8 + 1\/8. Suppose 16 = 5*m + 1. Let s be (-2)\/3*21\/42. Which is the closest to s? (a) m (b) -0.4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 2*j**2 + 4*j - 1. Let p = 41 + -38. Let l be i(p). What is the greatest common factor of 14 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (m + 0*m + 0*m)*(7 - 11*m**3 - 7) - 2*m**4 + 0*m**3 + 0*m**3 + 12*m**4 - 18*m + 18*m in the form n*m**4 + q*m**3 + k*m + b + j*m**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2. Let d(v) = -6*v**2 - v. Give -d(k) + 3*n(k).\nAnswer: 9*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 4*w**2 - 16*w - 12. Let f(a) = 13*a**2 - 66*a - 48. Let k(c) = 9*b(c) - 2*f(c). Calculate k(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*p + 2*p + 2*p)*(-4 + 0 + 0) + (-p + p - 2*p)*(-4 + 0 + 3).\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11480)\/(-1230)*2\/7?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 306*w + 1115. Calculate f(-4).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.18251ng in grams?\nAnswer: 0.00000001018251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/81801 (b) -0.2 (c) 0 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 3*b + 4. Let p be (b + 6)\/(2\/4). Suppose -3*c = -p*c + 40. Solve -3*v + c = v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-9)*42\/294 + 1392\/63. Solve -4*h + 3*f = -3, -20*f = -2*h - m*f - 16 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of h**6\/120 + h**5\/10 - 11*h**3\/3 + 16. Let u(d) be the third derivative of w(d). Factor u(o).\nAnswer: 3*o*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 969840.3um to millimeters.\nAnswer: 969.8403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 87336.54 to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -5*g**2 - 20*g + 1. Let z be o(-7). What are the prime factors of ((-18)\/(-15))\/(4\/z)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 4*o - 164, 2*u + 0*o = 4*o - 70. Let x be u*(8\/6)\/(-4). Let g = 15 - x. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (90 - 4584\/51) + 0\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32498791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - -21 - (14 + -10 + 10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -23*g + 15*g**2 + 23*g + 52*g**2. Suppose -3*t + 20 + 10 = 0. Calculate the remainder when u(1) is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 1:59 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, a: 5, l: 8}. What is prob of picking 3 o?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -278515 rounded to the nearest 100?\nAnswer: -278500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-94)\/2*(1 + 0). Let d = c - -50. Suppose -d*y + 124 = -245. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**4\/3 - 422*g**3\/3 - 1244*g**2 - 6202*g\/3 - 2891\/3 = 0.\nAnswer: -413, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, 2\/137, -1853 in increasing order.\nAnswer: -1853, 2\/137, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 4*n + 3 = -7*n, -3*g + 3*n - 9 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*2*sqrt(170))\/((1*sqrt(70))\/sqrt(7)) + ((-2 + -1*sqrt(17))**2 - ((sqrt(17)*3)**2 - sqrt(17))*2))*2.\nAnswer: -570 - 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 30657 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(2\/2))\/3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 4*w - 7. Let h be b(5). Let s be (h + -1)*8\/(-6). Suppose -s*x + 8 = -4. Solve 5*l + 6 = x*j, -l - 6 = -6*j + 3*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**3 - 5*w**2 - 12*w**2 + 2*w**3 + 17*w**2.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 152, 150, 148?\nAnswer: 146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-9))\/(k**(-8\/3)\/k) assuming k is positive.\nAnswer: k**(41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d**2 - 14*d. Let b be -7 - (-1)\/(-1)*-1. Let f(a) = 1 - 5*a - 1 + a**2. Let c(o) = 3*o**2 - 5*o - 5. Let t be c(-2). Give b*v(q) + t*f(q).\nAnswer: -q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, v: 1, u: 12, h: 3, s: 2}. What is prob of sequence ssvh?\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -42*k - 18. Let r be h(-2). Calculate the highest common divisor of r and 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3 - 3 + 5 + u. Let o be a(0). Calculate the highest common factor of 55 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-3))\/(298\/(-745)). Let j = -6.93 - 0.07. Let o = -12 - j. Which is the second biggest value? (a) o (b) -2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1851.857 nanoseconds?\nAnswer: 1.851857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22232 and 122276.\nAnswer: 244552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cscc when four letters picked without replacement from cssscscscc.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 21, -58.8, -0.4, 0.09, -0.2, -1\/3, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 329*b**3 - 61641*b + 61641*b + 1 + 5406*b**3 to the form c + k*b + o*b**2 + l*b**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4176 and 16.\nAnswer: 4176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8915879 + -12907627. Let h = m + 3991747.71000021. Let l = h - -0.29. What is l rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -5*u**7\/42 + 4*u**6\/15 - u**4\/6 + 9*u**3\/2 - 19*u. Find the third derivative of v(w) wrt w.\nAnswer: -300*w**2 + 192*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28002 or 28006?\nAnswer: 28006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101\/(-3 - (-35)\/(-10)*-1)?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 11, 35, 79, 149, 251, 391, 575?\nAnswer: 809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a kilometer in centimeters?\nAnswer: 90000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -r + 10. Suppose -a - 3*a + r = 0. Suppose -3*l + 110 + 74 = 5*y, a*l = y + 101. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 180, 8, -4 in descending order.\nAnswer: 180, 8, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -1 + 0*y**4 + 3\/20*y**5 + y**2 + 0*y - 1\/6*y**3. Let s(m) be the second derivative of i(m). Calculate s(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6275\/6 - 1046. Suppose 3*u = 6*g - 4*g - 1, -2*u + g = 0. Which is the second biggest value? (a) 0.5 (b) -4 (c) u (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 3. What is the second derivative of t*v**2 + 4*v - 5*v**2 - 5*v - v wrt v?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -537705 divided by -76815.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -108249, -216497, -324747, -432999, -541253, -649509, -757767?\n\"Answer: -x**2 - 108245*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 4*i + 4 = -8, -3*b - 4*i + 7 = 0. Suppose 0 = 4*g + 4, 8*y - 4*y = 3*g + 23. Suppose 25 = -y*c - 0*c. Sort c, b, -3 in decreasing order.\nAnswer: b, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0537 + -2.5583. Let c = 0.7 + 1.9. Let y = c + d. What is y rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6051377 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -20*p - 1648. What is n(-83)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(-2) - (-17563)\/26. Let x = m + -288. Does 9 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -15*j - 54. Let s be r(-3). Suppose -60 = 4*i - 9*i. Let h = i - s. What is the greatest common divisor of h and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8615 divided by -123\nAnswer: -8615\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5132776 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1513 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2*s - s = 32, 0 = -a + s + 14. Let i be (a\/(-6) - -2)\/(7\/63). Suppose 0*v - 15 = -i*v. Solve -v*z + 23 = 5*q - 2*z, 2*q = -3*z + 11 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -37, -30, -19, -4, 15, 38?\n\"Answer: 2*d**2 + d - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1063813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/5 (b) 1067 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.726 - 0.7238884. What is a rounded to 5 dps?\nAnswer: 0.00211","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155723.\nAnswer: 155723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 7, 0.23, -3\/7, 1?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yhdd when four letters picked without replacement from dyeddhe.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1961 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*j**3 - 9*j**3 + 30*j**3 - 18*j**3.\nAnswer: -10*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6387 + -4425. List the prime factors of m.\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 8737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 316391415 to the power of 1\/4, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/(-7) - (15 - (-5245044)\/(-339080)) and -125\/2076?\nAnswer: 10380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of d**4\/4 + 4*d**3 - 5*d**2 - 5*d - 30. Let x be v(-12). Calculate the highest common factor of x and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -109*m + 353. Give k(6).\nAnswer: -301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 89, 8, -1, -3 in decreasing order.\nAnswer: 89, 8, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -1 + t**2 + 0 - 5*t - 2. Let j be y(7). Suppose 96 - 92 = l. Solve -w = g - 3*g + j, w - 7 = -l*g for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.2 (b) 21 (c) 0 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 58\/33 at least as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.04, -0.4, 2, 4, 92600 in ascending order.\nAnswer: -0.4, 0.04, 1, 2, 4, 92600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 322301 - -231?\nAnswer: 323132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 543 - 206. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -386 by 386.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11 - (-121532)\/28) + (-56)\/(-98). What is i rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 10:45 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4040, 8063, 12082, 16097, 20108, 24115?\n\"Answer: -2*u**2 + 4029*u + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 433667 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 377304, 754579, 1131854, 1509129, 1886404, 2263679?\nAnswer: 2640954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -5*z - 5*b - 14, z + 1 = 3*b. Let n(i) = 6*i + 35. Let l be n(z). Let x(p) = -p**2 - 6*p - 4. What is x(l)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 70 = 5*n, 2*n - 30 = 5*k - n. Let u = -9 - k. Solve -4*o + 4 - 24 = u for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - sqrt(102)*-4*5)\/sqrt(6) - (-1 + sqrt(1700) - (sqrt(102)\/sqrt(3))\/sqrt(2)))**2.\nAnswer: 24*sqrt(17) + 2449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - u - 6*u + (0*u + 0*u + u)*(0 + 2 + 0))*(-3*u - 2*u**2 + 3*u).\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -54*f**4 - 57*f**3 + 3*f + 1117819 wrt f?\nAnswer: -216*f**3 - 171*f**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12523\/8 + -1570. Suppose 11*s - 2*s = -45. Which is smaller: h or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 4*k + 7. Let r(c) be the second derivative of -1\/2*c**2 - 3*c - 1\/6*c**3 + 0. Let j(f) = 2*l(f) + 14*r(f). Factor j(m).\nAnswer: 2*m*(m - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40*8\/90*(-36)\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (66\/15 + 6 + -6)*(-28)\/28 - -1?\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*u = 4. Let q = u - -15. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -220*u - 352. Give p(0).\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104.3 - -0.1.\nAnswer: -104.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/1985 and 47\/6.\nAnswer: 11910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10\/(-5) - 1) + -1 + 1. Let z be m\/((-105)\/20)*(8 - 1). Suppose -3*v + 0*y - z*y = -680, -3*v + 3*y + 666 = 0. What is v rounded to the nearest ten?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -150 + 159. Let t(c) = 535*c - 94. Is t(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/((1\/228*57)\/(3\/12)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 579 is divided by -13*(-12)\/78 - (-7 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.7 in 0.2, 16, -0.1, 0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -67427?\nAnswer: -2\/67427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 5*q + 5 = 0, 105*s = 101*s - q - 8 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12142?\nAnswer: 2, 13, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5 (b) 31.3 (c) 4\/3 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 4*z**2 + 28*z + 9. Calculate the remainder when 281 is divided by h(-8).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*t - 33*t - 326 = -4882 for t.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -166, -0.42, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**2 - 10*b + 2. Let z(x) = 3*x + 10. Let a be z(-5). Let r be f(a). Suppose -o + w = -r, -2*o - 3*w + 8 = -4*w. Does 3 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 771817014 divided by 3?\nAnswer: 257272338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 3*o + 29 = 0, 2*i - 49 = 2*o - 17. Let m = -6 + 12. Suppose -m = 2*q - 3*g, q - 4*g + i + 2 = 0. Solve q*a - 5*h = -16, 26 = 2*a + h + 3*h for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2085*p**2 - 29*p**2 - 31*p**5 - 272*p**3 + 274*p**3 - 63*p**6 + 11*p**6 wrt p.\nAnswer: -6240*p**3 - 1860*p**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 151199*x**4 + 3*x**2 + 2*x + 1363.\nAnswer: 3628776*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27583.\nAnswer: 27583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.013651506 and -236.622?\nAnswer: 236.608348494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.5158 - -0.9158. Let s = 2 - 2.5. What is the fourth smallest value in v, 0, s, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) 2\/15 (c) 4\/4111\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 128 and 176?\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*x = 10*x - 12*x + 127468. List the prime factors of x.\nAnswer: 2, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49 - 29. Suppose 4*f + r = -4*a + 2*a, 3*f + 15 = a. What is the closest to 2 in 1, f, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -7*l + 3. Let q(k) = -27*k + 11. Let w(f) = 2*q(f) - 9*r(f). Calculate w(4).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - j + 7, -5*s + 3*j + 15 - 2 = 0. Suppose 5*m + 4*k = 519 + 270, -s*m + 310 = 3*k. Does 19 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 2*b - 4*b + 2, -3*b + 6 = 3*p. Let q = -9 - -7. Let g be (-1)\/(3 + -2 + q). Put g, 5, p in increasing order.\nAnswer: g, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 8*k + 9. Let h be b(9). Let s(r) = r + 19. Is s(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 10*q**2 - 4*q - 15. Let g be t(-5). Let m = -128 + g. Solve -m = -n - n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.24 in -4, -1\/2, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of 13*s**3\/3 + 24*s**2 - 37*s - 1. Let g be t(-2). Let v be ((-3)\/(-2))\/((-2)\/(-44)). Sort v, 0, g in descending order.\nAnswer: v, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3968157*n**2 + 2*n**3 - 1984107*n**2 - 1984050*n**2.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 6. Suppose -4*v - 413 = -a*v. Let b be v\/(-6) - (-2)\/12. Calculate the greatest common divisor of 23 and b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.0297219l?\nAnswer: 29.7219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qlpqellpqpq. What is prob of picking 1 e and 2 p?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 3*z + 249 = 0. Let m = 87 - z. Solve b = m*o, 0 = b - 5*o + 4 - 3 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 28, 123, 282, 505?\n\"Answer: 32*w**2 - w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 y when two letters picked without replacement from {b: 1, y: 2, g: 1, i: 1, q: 1, z: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sbng when four letters picked without replacement from {s: 2, g: 2, n: 1, b: 1}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 27 = -21. Solve -s = k*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a - 8. Let o be l(10). Suppose v = -o*v + 66. Suppose 4*m = m + 2*r + 127, 0 = -4*m - 4*r + 136. Calculate the remainder when m is divided by v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -11*f**5\/5 - 2*f**2 - 4. What is the second derivative of b(r) wrt r?\nAnswer: -132*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from irrzozkiioiobbz. What is prob of sequence roko?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -9*g**2 - 1. Let v(i) = 7*i**2 + 1. Let l(p) = 4*b(p) + 5*v(p). Let d = 255 + -295. Let c(n) = 9*n**2 - 8. Determine d*l(r) - 5*c(r).\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 148729574 divided by 7?\nAnswer: 21247082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1267.357455 to the nearest ten.\nAnswer: -1270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5874331 divided by -6\nAnswer: -5874331\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - 1264245.\nAnswer: -1264244.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/26 and -79\/268632.\nAnswer: 268632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -v. Suppose v = -0*q + 3*q - 3*f, 3*q - 5*f = -4. Suppose -q*o - 4 = -3*o. Solve o*n + 3 = n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131707 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -111928, -111913, -111882, -111829, -111748, -111633, -111478?\n\"Answer: b**3 + 2*b**2 + 2*b - 111933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h - 1665 = h. Let i = -87 + h. What is the third derivative of -i*a**2 - 5*a**3 - 30*a**2 + 58*a**2 wrt a?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 4*b**2 - 7*b + 2. Let x be w(-5). Suppose 13 = 4*d + 5*g + 61, 3*d - 5*g + 1 = 0. Let a = d + x. Sort -5, a, -1 in increasing order.\nAnswer: -5, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + 8*l + 11. Let u be r(10). What is the units digit of -2*u\/(-12)*-16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -43, -71, -101, -133?\n\"Answer: -s**2 - 25*s - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6107997 - 5?\nAnswer: 6107992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 0.028 (c) -25 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 649864 <= 5848768\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -588*z + 295*z + 6611 + 291*z.\nAnswer: -2*z + 6611","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 1.16.\nAnswer: -4.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.7578*-345\nAnswer: -261.441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27313396 and 10?\nAnswer: 136566980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12814576?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 81 (b) 2 (c) 4 (d) 5457\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of 0*j + 37\/3*j**3 + 0*j**4 + 28 + 0*j**2 + 8*j**5. Find the third derivative of s(p) wrt p.\nAnswer: 960*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327841 to the power of 1\/2, to the nearest integer?\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34031.\nAnswer: 34031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)*2*-1)\/((2*sqrt(120))\/sqrt(12)).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 775\/85 - (2\/(-8) + (-25)\/(-68)). Let c(j) = -j**3 - 2*j**2 + 5*j - 3. Let a be c(-4). Solve 6*s + a = b*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) + -1)**2*-6*-4 + 1 + 1 + sqrt(847) + 2.\nAnswer: -517*sqrt(7) + 20356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9, 5, -2.371933?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*o**2 - o**2 + o**3 - 18 - 20*o**2 + 20 to the form k*o**3 + q + n*o**2 + x*o and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 320*n - 100. Let p be w(-8). Let v = 4129 + p. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1141, -1392, -1641, -1888, -2133, -2376, -2617?\n\"Answer: y**2 - 254*y - 888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 10\/(-26))*10\/40.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4100049 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 28*j**2 - 28*j + 30. Let d be r(27). Suppose 2*g - 98 = -3*g - 2*v, -2*g + v + 41 = 0. Solve 3*n - 4*u + g = 0, -d*u = -n + 2*u - 25 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -13*f - 2. Suppose 18*k + q = 19*k - 6, 5*q = -5*k + 30. Let s(u) = -40*u - 6. Calculate k*s(z) - 17*c(z).\nAnswer: -19*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 40.859 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-5))\/((-26)\/65). Find the common denominator of -34\/7 and (-242)\/p*3\/(-36).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -11. Let o be ((-12)\/9)\/(c\/(-3)). Let x(w) = 7*w - 10. Let n be x(2). Calculate the highest common factor of o and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**4)**(-21\/2)*(y*y**(-11)*y)\/y*y*y\/y**(1\/7) assuming y is positive.\nAnswer: y**(-849\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 3*a + 4. Let y(b) = 2*b + 3. Let f(w) = 3*l(w) - 4*y(w). Let x be f(1). Suppose -x*j = j. Solve j = -3*o - 8 - 7 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 5*t - 47 + 62, -2*t - 19 = 3*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u - 2*c = 28, 3*u + 4*c = -126 + 2 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 479.1408 days?\nAnswer: 41397765120000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 41*q**2 - 5*q + 6. Give r(1).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3001, -2963, -2921, -2875?\nAnswer: -2825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = i + 15, 0*k + k + 30 = 5*i for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 2*c = -2, 3*c - 135 = -4*k - 138 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000682 to seven dps.\nAnswer: -0.0000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -3*n**2 + 492*n - 20172 = 0.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 66*j**2 - 82 - 23*j**2 + 21*j**2 + 31*j - 30*j**2 - 30*j**2. Calculate d(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8505 is divided by 876.\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3037506.\nAnswer: 2, 3, 506251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 3*g - 3. Let i be d(2). Let f = -377 - -377.1. Suppose -4*j = -3*p - 34, 5*j - 40 = 4*p + j. What is the closest to f in p, 2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1003 in 5.967, 0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pofffpjyfjyppvv. Give prob of sequence ovy.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1724415 - 5301928 - 3822057 = -400*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 5) + 14 + -1 - (2 - 1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 725*m - 723*m = 414. What is the greatest common factor of 63 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 minus 87129?\nAnswer: -87137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o**2 + 6*o - 6. Let q be b(-4). What is the third derivative of -7*v**4 + 137*v**5 + 3*v**2 - 138*v**5 - 4*v**4 - q*v**2 wrt v?\nAnswer: -60*v**2 - 264*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*c + 36*c - 2 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/12 + 7\/4. Suppose 4 - 6 = v*o. Let b(s) = -19*s. Is b(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6852 + 6854. Let r(d) = 15*d**3 + 3*d**2 + d + 3. Let m(n) = 16*n**3 + 2*n**2 + 2. Give q*r(g) - 3*m(g).\nAnswer: -18*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k**2*p**3 + 13*k**2*p + 6*k**2 - 4*p**4 - p wrt p?\nAnswer: -12*k**2*p - 48*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 806968413?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/4)\/(((-2)\/112)\/(1197\/2394)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - u + 30, -f - u + 8 = 2. Suppose -f = -4*m + 2*m. Solve 3 = -3*v + m*d, -3 = v + d + 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 518 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 458.49 + 82.51. What is the second smallest value in -0.3, o, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11033\/22066*1*4*(-53)\/(-2).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5778583?\nAnswer: 2267, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11\/2, -1, 5 in increasing order.\nAnswer: -11\/2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -87 + 127. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 + 12. Let w = 24 + z. Let h = w + -19.2. What is h rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**3 - 20334*d**2 + 68911926*d - 77847505738 = 0. Calculate d.\nAnswer: 3389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**5 - 2*c**5 + 2*c**5 + (-74 - 80 + 127)*(-54*c**2 - 177 + 177 + c**5).\nAnswer: -29*c**5 + 1458*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -157 + -221987?\nAnswer: -222144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2479367 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0*l*l*l**5*l)\/(((l\/l**(-6))\/l)\/(l*l**(1\/2))) assuming l is positive.\nAnswer: l**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -845 - -849. Which is the fourth smallest value? (a) 0.1 (b) -1\/9 (c) m (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 777 - 1118. Sort y, 0, 3 in decreasing order.\nAnswer: 3, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 3*v + 2, -3*z = 5*v + 6 - 10. Let n(h) = 5*h**2 - h - 1. Let f be n(z). Solve -2*r = -3*i + f, 6*r - r = 3*i - 30 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3906 - -4300. Does 5 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*s**3 - 355*s**2 + 890*s - 200 = 0.\nAnswer: -20, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}