diff --git "a/data/dm_maths/full_data/10591_11255.jsonl" "b/data/dm_maths/full_data/10591_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10591_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let o(s) = 9*s + 55. Let i be o(-6). What is the derivative of -6 - 9 - 16 + 2*l + i - 21*l wrt l?\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -406 + -144461?\nAnswer: -144867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 AM and 3:23 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -6, 1907\/6, 1\/3, -2\/15, 3, -0.1, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20055 by 1471.\nAnswer: 20055\/1471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2123 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -3*z + 88, 4*z = 4*q + 4 + 108. Suppose 3*b + 4*x = 8*x - z, -x + 5 = 0. Which is greater: b or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 84\/100)*(-1)\/(-2). Suppose 5*j + 1 = -9. Which is smaller: j or g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = -136*d + 141*d + 5*a, 5*a + 42 + 10 = -4*d for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04035 to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of 3*x**2\/2 - 6*x + 1. What is the remainder when 22 is divided by u(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3021 - 178. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 6 - 2 + a**3 - 2*a**3 as f*a**3 + y + v*a + i*a**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(12\/24 + (-7)\/(-2)). Suppose -g*x + 1444 = -2*m, -m - 4*m + 350 = x. What is the greatest common divisor of x and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51265356 is divided by 1848?\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13167 divided by 3.\nAnswer: 4389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/((30\/4)\/5). Suppose -4*r = -2*v + r - 16, a*r = 5*v + 6. Suppose -2*c + 42 = c + v*n, 75 = 5*c + 5*n. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i**3 + 2*i**2 - 8*i - 4. Let a be r(-7). Let x be (-7)\/(-21) + a\/(-9). Let o = x + 51. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*o**2*p*w**4 - 8*o**2 - 114*p*w**2 - 16*p*w wrt w.\nAnswer: 24*o**2*p*w**2 - 228*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 e, 1 u, and 1 y when four letters picked without replacement from eyueeemmeemeuuuempme.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 112063, 112065, 112067, 112069?\n\"Answer: 2*o + 112061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.8 in -1, -1\/7, -4\/33?\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10993?\nAnswer: 10993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -655*28\/(-16) + (-2)\/8?\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of n**2\/2 - 4*n + 8. Let w be d(10). Solve -x + w*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*h = -2. Solve -w + h*w = 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37*m**2*x**2 + 2*m**2*x - m**2 - m*x**2 + 8*m*x - 304*m + 4185*x**2 - 65*x wrt x.\nAnswer: -74*m**2 - 2*m + 8370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -119216, -115610, -112002, -108392?\n\"Answer: v**2 + 3603*v - 122820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**3 + 12452295*j**2 - 7753163093475*j + 224831257452625.\nAnswer: -5*(j - 1245215)**2*(j - 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5668459, 2\/3, -3, -2?\nAnswer: 5668459","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.2, 5, -805, -2, -57 in decreasing order.\nAnswer: 5, -1.2, -2, -57, -805","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**2 + 2*o**2 + 41 - 35 as n + v*o + f*o**2 and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*b - 208 = 79. Solve 0 = 4*d - 3*a - 14, 20 = 5*d + a - b for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-4))\/(((-310)\/600)\/31). What is the greatest common factor of n and 285?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 392 - 12*u**3 - 392.\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (276\/12)\/(-69)*1*33.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4*u + 23. Calculate o(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrfqqviirvffifiri. Give prob of picking 2 v.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d + 1. Let a(w) = w**3 - 10*w**2 - 12*w + 9. Let x be a(11). Let c be j(x). Suppose -3*b = -5*p - 243, 2*b - 162 = p - c*p. Does 27 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -3\/7 (b) -1 (c) -2\/121 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*a**3\/4 + 11342499*a**2\/4 - 7561663*a\/4 + 1260277\/4.\nAnswer: -(a - 1260277)*(3*a - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 91012 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -9, 3, 4 in descending order.\nAnswer: 4, 3, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4551 or -18203\/4?\nAnswer: -4551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 - 9 + 50 = -3*y, 2*x = 15*y + 31 for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = -6*i - 20. Suppose -150 = -8*q + 3*q. Calculate the greatest common factor of q and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14520 - -321043?\nAnswer: 302123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 171*f - 38585 + 613*f + 38574 as j*f + p and give j.\nAnswer: 784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -485 + 501 = -2*h for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of 9*a**5\/20 - a**4\/24 - 46*a**2 + 4*a. Calculate m(-1).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 7*l**2 + 5*l - 6. Let a = 0 - 6. Let t = 0 + a. Give x(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 4*s + 68 = 0. Let w = 54 + -48. What is the remainder when s is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-100)\/875*49*15\/6.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8241 * -697.\nAnswer: 5743977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 620592 divided by 103432\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 628*b - 626*b + 1251*b)*(-5 + 6 + 11).\nAnswer: -36*b - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1986973?\nAnswer: 101, 103, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.08, -2.4102, 2\/5, -2, 1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35285 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*b + 2*t, 2*b - 22 = -2*b + 3*t. Solve -5*c - 3*m + 5 = -0, -2*c - b*m = -16 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/18)\/((-12)\/54). Let n be 0\/(0\/2 - 1). Find the second derivative of n*f**2 - f**2 + 2*f + y*f**2 wrt f.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2 + 65890*f - 32944.\nAnswer: -2*(f - 16472)*(2*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -459617 - 6*h + 459933 - 3*h + 10*h.\nAnswer: h + 316","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*c**2 - 15*c**2 - 11*c**2 to the form g + a*c + f*c**2 and give f.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2416 (base 12) in base 16?\nAnswer: fd2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-12) + (-64)\/3. Let y = p - -19. Is 4\/(8\/y) + 62 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - 3 - 2) + 4. Let h(c) = 31*c**3 - 2*c**2 + 2*c + 2. Let f be h(j). Suppose -51 + f = 5*k. What are the prime factors of k?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0*t**4 - 5*t**4 + t**4)*(5577*t - 2780*t - 2934*t + (3 - 5 + 4)*(t - 1 + 1)).\nAnswer: 540*t**5 - 135*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224982?\nAnswer: 2, 3, 29, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(9072).\nAnswer: 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 7*f**2 - 3*f + 6. What is the tens digit of o(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 0. Suppose 0 = -2*j - 2*p + 58, 2*j + 3*j - 5*p - 95 = 0. Suppose a + a - j = t. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20000000 to the nearest 1000000.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -497*o + 4. Let a be v(-1). Let w = a + -327. Calculate the greatest common factor of w and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**3 - r**2 - 6*r - 15. What is the tens digit of x(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39208193 = 4*t - 21751807. Round t to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49809499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-15\/8)*c))\/(c*c\/(c**(-6\/25)\/c))*c**(-4\/15)*c*c*c*(c**(-4)*c)\/c assuming c is positive.\nAnswer: c**(-1579\/600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 240 - 241. Let v be (-117)\/195 - 1*x. Which is the smallest value? (a) v (b) 2\/7 (c) 9 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.7601367 decades?\nAnswer: 0.007601367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 4*l + 1. Let p be d(16). Let h = p + -190. Solve 2*c + 3*k = -k - 16, h*k = -2*c - 14 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52713 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: What is prob of sequence cc when two letters picked without replacement from xpxkkxxxxkkxcxxcxkx?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkllklkkk. What is prob of picking 2 l and 1 k?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 11:53 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/7)\/(15\/(-70)). What is the greatest common divisor of n and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**2 + 370*c - 441. Let u(x) = x - 1. Let a(b) = i(b) + 3*u(b). Find the first derivative of a(t) wrt t.\nAnswer: -4*t + 373","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -10\/13 (b) 16 (c) -5 (d) 5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 - (-299 + 3))*51900\/9. What is w rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7135 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1121 + 4?\nAnswer: 1125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -19972100 rounded to the nearest one million?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5*(2 + sqrt(1250)*-3 - 5*sqrt(1250)*-3)**2.\nAnswer: -900016 - 6000*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3*h + 106 = 0, 4*f - 6*f + 40 = 5*h. Is f a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 6*r. Suppose r = k + 2 - 37. Is k a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*s**3 - 59*s**3 + 33*s**3.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (86\/(-4) - (-100 - -78))*4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*u + 71*u - 7890 = -103*u. Calculate the smallest common multiple of 2\/3*(-234)\/(-2) and u.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -51*d. Let m(i) = 15*i**2. Determine m(v(h)).\nAnswer: 39015*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 2607 = -2*x + 2625, 4*x + 8 = -3*o for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -576 - -8638\/15. Suppose p - 18 = 4. Put h, -0.3, p in ascending order.\nAnswer: -0.3, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1312.97 - 1307. Let p = 0.97 - z. Let f = -0.1 - 0. What is the nearest to f in 1\/4, -1, p?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z + 5*z - 7095 = 0. What is the first derivative of 175 - z*d + 244*d + 169*d wrt d?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 2 + 2 - 4*s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5823.93 - -3019.87. Let v = a - -2790.06056. Let r = -14 - v. What is r rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -294*q**3 - 2*q**2. What is the hundreds digit of a(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x + 21. Give d(7).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 130463584*k**3 + 2*k**2 - 13520402 wrt k?\nAnswer: 782781504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from ewwwew?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.102503 nanometers to kilometers.\nAnswer: 0.000000000004102503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -180662 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence av when two letters picked without replacement from adadddaaavvaavv.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 48\/31 smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-7 + 5 - 34)*(2*r**4 - r**4 + 0*r**4) + 2*r**4 - 2*r**4 - r**4)*(13 - 6 + 0).\nAnswer: -259*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88.995789 minutes to days.\nAnswer: 0.06180263125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 873743 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.06272 and 10.365.\nAnswer: 0.6500928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -760 divided by -10.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-3\/2)*z)\/z*z*z*z*z*z\/(z\/(z*z**4*z))*z)\/(z**(-1\/2)*z*z*z\/z**(-2)) assuming z is positive.\nAnswer: z**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m + 14*m + 31 = 73 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**3 - 2*q**2 - 10 + 16 + 19*q**4 + 8*q**4 - 13 to j + t*q**4 + r*q**2 + c*q + f*q**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence agg when three letters picked without replacement from gacagggga.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8628349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19 - 4287468?\nAnswer: -4287468.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (144\/420*7)\/((-12)\/(-15))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-8\/9)\/y)**(-29)*y**(1\/8)\/y**(-11\/2))**(-44) assuming y is positive.\nAnswer: y**(-47839\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42 + 50. Solve -4*t + 6 - 2 = 3*n, -3*n - 2*t = -c for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 3. Let b = -637 + 1050. Let s = b + -408. Solve -4*g - g + s = k for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 3*h = -6. Suppose 10 = -2*o - h*d, -o - 5*d - 7 = 18. Suppose o = -2*t + 15 + 7. Calculate the remainder when 30 is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (65 - 28) + 87 + 22?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/2130 and -101\/123540?\nAnswer: 123540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2036919 or -2036921?\nAnswer: -2036919","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(2\/15)*f)*f*f\/(f\/f**2))**(-30)\/(f**(-10)*f*f**(-2\/5))**(29\/5) assuming f is positive.\nAnswer: f**(-787\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (2 + -4 + 2 + 3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56949, -113854, -170721, -227550, -284341, -341094?\nAnswer: -397809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y + 5. Let r(q) = -q. Let g(k) = 2*k**2 + 33*k - 114. Let v be g(3). What is v*r(j) - i(j)?\nAnswer: -j - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.91 (b) 105 (c) -2\/7 (d) -0.4 (e) -6 (f) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 4*y**3 + 17*y - 2*y**3 + 4*y + 0*y**3 as s*y + v*y**2 + z*y**3 + w and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 0 - ((66 - -89) + -130).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1200 and 63504.\nAnswer: 1587600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6560 and 8?\nAnswer: 6560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -124 + 1118\/9. Let t = 0.38 + -76.38. Let k = -76 - t. What is the second smallest value in 0.3, k, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(1\/6))\/p)\/(p*p*p\/(p\/(p**(-3\/2)*p))))\/((p*p\/(p\/p**28))\/(p**(-8\/5)*p)) assuming p is positive.\nAnswer: p**(-464\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -362, -562, -762, -962, -1162?\n\"Answer: -200*h - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + o**2 + 2)*(6*o**2 - o**2 - 4*o**2) + o**4 + 4*o**4 - o**4 + 13*o**4 - 5*o**4 - o**4.\nAnswer: 12*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x + 18. Let y be c(13). Solve 6 = -y*t - 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2\/582720247?\nAnswer: 2\/582720247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*b - 14*b = 3*g - 5, -2*g + 4*b = -22 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pawapaqoaapaaoptoo. Give prob of picking 1 q, 2 p, and 1 t.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 60 + 9. Suppose t - 4*g = 48, 3*g + 17 = -2*t + u. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.08 (b) 1 (c) 4 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119347.\nAnswer: 23, 5189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -225 - 9?\nAnswer: -22e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3294 = 29*c + 25*c. Let f = c - -63. Sort 8, f, 0 in ascending order.\nAnswer: 0, f, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1026096 divided by 64131\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8458, -16708, -24944, -33160, -41350, -49508, -57628?\n\"Answer: q**3 + q**2 - 8260*q - 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -7.8. Put 2, a, -2\/3 in descending order.\nAnswer: 2, a, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -656503988332 and 96.\nAnswer: -656503988236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(1\/11))**5)**(-30\/7) assuming o is positive.\nAnswer: o**(-1800\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 - -0.6. Let q = r - -1. Is q at least -0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/3)\/(4 + (-175)\/45). Calculate the remainder when 9 is divided by 3 - 1*(2 - k).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - ((-1 - -4)*-1 + 0). Suppose o + 3 + 5 = x, w*o + 34 = -x. What are the prime factors of 1662\/21 + 8\/o + 1?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/90 and 131\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s - 19 = -54 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 138978.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2*l = -15, 3*p - 4*l - 3 = 6. Suppose p*y - 133 = -85. Solve y = -5*r + r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9 to zero decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 322 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -15537, -15302, -14657, -13398, -11321?\n\"Answer: 34*o**3 + o**2 - 6*o - 15566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 8028138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 141 = 87. What is the greatest common factor of 608 and q?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 10*o - 3. Let k be g(2). Let q(v) = 4*v - 48. Let h be q(k). Suppose 0 = -j - j + 10. Solve -h = 5*c, 6 = -j*b - c + 2*c for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 10*b**2 + 3)*((b - 5*b + 6*b)*(0 - 3 + 1) - 4*b + 2*b + b - b + 3 - 3 - b + 2*b - 3*b) to q + y*b**3 + l*b + g*b**2 and give y.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 24 = -5*b. What is the smallest common multiple of 11 and 2\/((3 - b)\/(-4))?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4579633, -9159268, -13738905, -18318544, -22898185?\n\"Answer: -a**2 - 4579632*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8385 (base 9) in base 4?\nAnswer: 1200020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s - 22. Let f be y(17). Suppose f*b - 25*b = 2212. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 4*b = -20, 0*b = -3*u + 3*b - 15 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42 - -34. Let n be 3\/(-1) - j - 0. Suppose -12 + 117 = n*r. What is the least common multiple of r and 24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -6*l - 4. Let k(s) = 7*s + 4. Let x(r) = 5*k(r) + 6*v(r). Let g be x(-7). Let d be 0 - 0 - (-4 + 2). Put 0, g, d in descending order.\nAnswer: g, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - 2*t - 3. Let s(y) = 2*y**2 + y. Let o be s(1). Suppose o*x + 4*z = 2, 6*x - 2*x - 5*z + 18 = 0. Let m be b(x). Solve v = m*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72170 (base 13) in base 2?\nAnswer: 110001111100100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - (-3 - (1 - 47)). Let t = 65 + b. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4439, -24, 0, 4 in increasing order.\nAnswer: -24, 0, 0.4439, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1\/2)\/u)**(-1\/62)*(u*u**(-2))\/(u\/u**(-1\/3)*u*u))**21 assuming u is positive.\nAnswer: u**(-11263\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - q + 6)*(-115*q - 158*q + 355*q).\nAnswer: -82*q**2 + 328*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/20211 + 990314\/505275. Calculate the common denominator of 71\/1050 and q.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -70, 4, 5, -9, 2, 181, -23 in increasing order.\nAnswer: -70, -23, -9, 2, 4, 5, 181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/37 + 3\/740. What is the second smallest value in 0, -0.5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (456\/(-447) + 1)*(-16)\/(-3). Let k = c - -5503\/2682. What is the common denominator of -65\/24 and k?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a century in months?\nAnswer: 14700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**5\/3 - 38*t**4\/3 - 118*t**3\/3 + 4840*t**2\/3 + 13727*t\/3 - 184730\/3 = 0. Calculate t.\nAnswer: -29, -13, -10, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4392 - 4391.9995886. What is k rounded to five dps?\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)\/((sqrt(2) - (sqrt(8)\/sqrt(4) - sqrt(2))) + sqrt(2)))**2 + -4 + 2*(1 + sqrt(832))**2.\nAnswer: 32*sqrt(13) + 6661\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.68*-4.\nAnswer: -2.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, 4\/5, -1, 3 in increasing order.\nAnswer: -1, 3\/5, 4\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y**2 - 126*y - 85. Let d be f(-47). What is the greatest common factor of 129 and d?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**3 + 10*q**2 - 1 + 1624*q - 12*q**2 - 1633*q to r*q**2 + a + d*q**3 + l*q and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-186)*10*3\/40\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(2 + (-3 - -9))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 34988.\nAnswer: -1\/8747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 82, 58, 34, 10, -14, -38?\n\"Answer: -24*c + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4595*m - 4523*m - 31871088. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 649545276 to the power of 1\/2, to the nearest integer?\nAnswer: 25486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 6*t**2 + 10*t + 7. Let x = 11 + -9. Let j(g) = 2*g**2 + 3*g + 2. Determine x*p(k) - 7*j(k).\nAnswer: 2*k**3 - 2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 208 or -29.3?\nAnswer: 208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m**2 + 1244*m - 16790. Determine x(14).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4558 - 565 = 121*t for t.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -17*w - 312 + 312. Let g(v) = -3*v**3 - v**2 - v + 1. Let r be g(1). Let l be m(r). Calculate the greatest common factor of l and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.752531 seconds in nanoseconds?\nAnswer: 752531000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 14 and 21568.1469.\nAnswer: 21582.1469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 319576 and 688?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41 and 2034133?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 325253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 2*u - 2946, -4*u - 4391 = -3*p - 0*u. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160744670 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -62 - (-8)\/(-9)*-63?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*q**2 - 57*q**3 - 21*q**3 - 151*q**2 + 289*q**2.\nAnswer: -78*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*r - 4*m - 1074 = -35*r, -r + 3*m = -363. What is the least common multiple of 34 and r?\nAnswer: 6018","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1330683*z**2 + 6*z - 1330692*z**2 - 6*z.\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/18 - 74\/252. Suppose -v - 1 = -3. Suppose -4 = 3*n + v. Which is smaller: c or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (3*sqrt(95)*2)\/(sqrt(405) - -1*sqrt(405) - sqrt(5))*-5.\nAnswer: -30*sqrt(19)\/17 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 1:34 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 5*u + 6. Let c be y(4). Let d(i) = -i**2 + 2*i - 4 + 5 - c*i + i. Suppose 4*n - r = 10, 18 = 40*n - 35*n - 4*r. Calculate d(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 239 = -16341. Suppose 4*c + s = -3310, -p = 3*c + c - 2*s. Let f = c + 2431. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -2\/15*q**6 + 0*q**4 + q + 0*q**2 - 1\/20*q**5 + 0*q**3 - 1\/14*q**7 + 0. Let r(v) = 0. Calculate v.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -81, -52, -33, -30, -49, -96, -177, -298?\n\"Answer: -l**3 + l**2 + 33*l - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1350 or -124127\/92?\nAnswer: -124127\/92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-704)\/1232)\/(-2 - 165\/(-84)). Solve 0 = 11*g - 7*g - n for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 65 + -56 + 31\/(-4). Which is the nearest to 0? (a) z (b) -4 (c) 2 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28610?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*h + 5*h - 4 + 4.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1362399 by -454133.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 465.0546 months in years?\nAnswer: 38.75455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (42 + -27)*(-12)\/18?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9 - 13 - 7*j**2 + 15 wrt j?\nAnswer: -14*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 5. Let i = -2.8 + 6.6. Let b = 4 - i. Put q, b, 0.3 in decreasing order.\nAnswer: q, 0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 257 (base 8) to base 5.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 b when three letters picked without replacement from bbbrrrrbbr.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5 (b) 3 (c) 4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 62592 and 3797248.\nAnswer: 11391744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -7*w**2 - 581 + 286 + 290. Let i(s) = -4*s**2 - 3. Let o(c) = -5*i(c) + 3*u(c). Let j = -1 + 1. What is o(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/7*(-623)\/534*105.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(4\/11)\/c*c**5)\/((c\/(c\/c**(-1\/9)))\/c**(-2)))\/((((c*c**4)\/c*c)\/c)\/((c\/c**(2\/15))\/c))**(-11\/2) assuming c is positive.\nAnswer: c**(12478\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.6, 0.1 in decreasing order.\nAnswer: 0.1, -0.6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -0.5, 1, -49?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.88 + 2.08. Let j(z) = 9*z - 7. Let g be j(2). Suppose g*k = 3*k. Which is the closest to -2\/11? (a) l (b) -3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126543 to the power of 1\/2, to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -198 + 280. Let z = f + -16. What are the prime factors of z?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, g: 5, i: 1, e: 2, f: 2, l: 1}. What is prob of picking 1 i, 2 f, and 1 e?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -5*i**2 - 3*i + 6. Let z(p) = 4*p**2 + 2*p - 5. Let d(c) = -3*t(c) - 4*z(c). Let y be d(0). Factor w**3 + 5*w - w**2 + 4*w**2 - w - y*w.\nAnswer: w*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16122044?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140811997?\nAnswer: 307, 523, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5094 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 1165 = 161. Let k = -1328\/3 - x. Which is the closest to 1? (a) -1\/2 (b) k (c) -2.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9790706 a multiple of 887?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1651, -1096, -551, -22, 485, 964, 1409, 1814?\nAnswer: 2173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47 and 57199?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -363 + 199 = -f - 180 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 1265*v - 237*v - 217*v as n*v + q and give n.\nAnswer: 811","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**2 + 44*p - 91. What is u(2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/10)\/((l\/l**(-2\/29))\/l)*l**(-12)*l**(-1\/24) assuming l is positive.\nAnswer: l**(-41797\/3480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of 37*y**3 - 27. Let z(r) = 2*r. Give z(h(b)).\nAnswer: 222*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*c - 44*c + 42 = 0. Let r = -16 - c. Solve -r*j - 3 + 8 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 5*d = 15, 0 = 2*y - 0*d - d. What is the second derivative of -17*p**2 - 34*p + 32*p + y + 6 wrt p?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 20 = 0, -i + 4*n = 4*i - 50. What is the greatest common factor of i and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -4*z - 5. Let s(t) be the third derivative of t**4\/24 + t**3\/6 + 4*t**2 - t. Calculate d(i) + 6*s(i).\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 + 4*b**2 + 2*b**2)*(-2 - 9 + 0) + (-3*b + 2*b + 2*b)*(-2 + 2 + b) - b**2 - 3*b**2 - b**2.\nAnswer: -59*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61 - 39*v**2 - 62 - 109 + 232.\nAnswer: -39*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7528 - -7568. Let o = -20 + 40. What is the smallest common multiple of q and o?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -333 - 47 = 40*w + 60 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24351 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 9:34 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 215564?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38509.\nAnswer: 97, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, n: 2, w: 6, l: 1, g: 5}. What is prob of sequence gcg?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v + 15. Let t be b(-6). Let u be -2 + -33*t\/1. Let a = u + -49. Calculate the greatest common divisor of a and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5.5? (a) 3 (b) 11 (c) 1\/200 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -3, 421 in decreasing order.\nAnswer: 421, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -357 - -404. Solve -3*p + 35 = j for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11012020111 (base 3) in base 10?\nAnswer: 82552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 3*u - 3*b, -4*u - 5*b - 243 = -239 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12892032 and 22382.\nAnswer: 12892032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 16. Let l = -64 + 68. Sort l, 3, v in ascending order.\nAnswer: 3, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 3, 53, 5, 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 25*a - 21. Let r(x) = -7*x**2 + 59*x - 150. Let i be r(4). Determine m(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 7*o**2 + 12*o + 27. What is t(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 2, -391, 5 in descending order.\nAnswer: 5, 2, -1\/4, -391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 - (-170 - -227) - (-61 - 1)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11241234 - 214224?\nAnswer: 11022010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-1)*((-3)\/2)\/((-324)\/24).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*j - 52 = j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 4:35 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 8 = 2*h. Let y be h*((-112)\/(-3) + 2). Let p be -1080*(y\/6 - -3). Round p to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3899.\nAnswer: 7, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 21\/4 of a gram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2358341.\nAnswer: 53, 44497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1545\/(-1030)*5\/((-15)\/62)*1.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 34872, 44\/9.\nAnswer: 44\/9, 6, 34872","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11142 and 14.\nAnswer: 77994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of 5*i**4\/24 + i**3\/2 - 9*i**2. Differentiate g(a) with respect to a.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*s + 17*s. Solve 4*i + 14 + s = -j, -5*i = 5*j + 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1112 + 4447\/4. Sort f, 5\/3, -3, 13 in descending order.\nAnswer: 13, 5\/3, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 1.2, 5, -2\/9, 0.053, 2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -421\/89 - -19937\/5607. Find the common denominator of -13\/42 and n.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u + 25*u - 5*u - 14*u - 5*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 45*p - 781. Give m(19).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1.6*0.07\nAnswer: 0.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104 = -456*h + 443*h for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 46623834*j**6 - 2*j**2 - 386230*j + 11?\nAnswer: 5594860080*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 7 (b) -2049 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 11*z - 6 = 0. Let v = -4 + 6. Let y = v + -3. Put 4, y, z in increasing order.\nAnswer: z, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48861.\nAnswer: 3, 61, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 10969, 10972, 10977, 10984, 10993, 11004?\n\"Answer: v**2 + 10968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0591947 rounded to four decimal places?\nAnswer: 0.0592","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149 + 51 = 2*u. Calculate the common denominator of u and (-9)\/2*279\/(-54).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 436?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4*(123\/205)\/((-28)\/5)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 140146436?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1640355.\nAnswer: 3, 5, 109357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -328*l**5*u**3 - 91423*l**5 + 3335*l*u**3 - 24*l - 55*u**3 wrt l?\nAnswer: -6560*l**3*u**3 - 1828460*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1208341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10, -1\/3, 5, -10, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 1803*x. Let t(k) = 41655 + 2*k**2 - 83305 + 41650. Give j(t(s)).\nAnswer: 3606*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2\/163 (b) 1883 (c) -1 (d) 0.3 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5*o = 10. Suppose -o*b = -b. Which is bigger: b or -5\/6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 484 = 12*d - 166 - 655 for d.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(1\/(-4)*-42). Let l = 36 - 6. Let f = l - 34. What is the third biggest value in f, 1, n?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 60 + -58. Let n = -1.7 + 2. Let b = n - -0.1. What is the smallest value in -5, b, m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, 0.2, 47 in increasing order.\nAnswer: -2\/13, 0.2, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**3 - f**3 - 2*f**3)*(f - f + 2 + 2*f - f + f + 4*f - 1 + 1 - 2*f + (-2 + 1 - 1)*(-5*f + 5*f + 2*f) - 3 + 2*f + 3 - 6*f + 4*f + 4*f)*(-2 - 2 + 2).\nAnswer: 8*f**4 + 4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 8 and -1356529.\nAnswer: -1356521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 90728771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 312815.\nAnswer: 5, 62563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2080700 rounded to the nearest 100000?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1421330 (base 5) in base 10?\nAnswer: -29590","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -267 - -372. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1122 + 0?\nAnswer: -1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 1369024071*l. Let z(h) = 2*h. Calculate z(o(r)).\nAnswer: 2738048142*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100 = -8760*u + 8762*u + 4*h, h = -5 for u.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 1. Let o(t) = -2*t**3 - 5*t**2 + 8. Calculate -o(h) - 6*x(h).\nAnswer: 2*h**3 - h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81433 is divided by 277?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4110 * 14.054.\nAnswer: -57761.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/12 and 131\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1049597604.\nAnswer: 2, 3, 11, 103, 25733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 8, 17, 2 in ascending order.\nAnswer: 2, 8, 14, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p - 6. Let q(v) = -v - 6. Let h(r) = 3*d(r) - 4*q(r). Let x be h(-2). Solve -5*i + 2 = -x*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 29*m - 29*m - 56*m**2 + 58*m**2. Let k(s) = -14*s + 3*s - 21*s. What is k(w(a))?\nAnswer: -64*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10 - 10 - 5*y**4 + (2 - 2 + 3*y)*(-y**3 + y**3 - 2*y**3) - 4*y + 4*y + 2*y**4.\nAnswer: -9*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -a**4\/12 + a**3\/2 + 2*a**2 - 10*a. Calculate o(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 323*t - 999*t = 1632 + 27335 + 19029 for t.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -9 (b) 1.1 (c) 760 (d) -6\/5 (e) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6409 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*r**3 - r**3 + r**3 + 0*r**3.\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s + 3. Let t(b) = 2*b - 4. Let v(m) = 4*j(m) + 3*t(m). Let i(q) = 15*q**2. Give i(v(d)).\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 174161 a multiple of 388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(3) + (sqrt(300) - -4*sqrt(300)) + sqrt(3)).\nAnswer: sqrt(11)\/52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -5. Suppose 5*i + 5*s = -0*s + 115, 5*i + 2*s - 106 = w. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1150, 1060, 968, 874, 778, 680, 580?\nAnswer: 478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56 - 48. Suppose 3*p = -5*p + g. Suppose -12*w + 11*w + p = 0. Solve -1 - w = s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -j**7\/210 + 71*j**4\/24 - 49*j**3\/2 + 110*j**2. What is the derivative of z(w) wrt w?\nAnswer: -4*w**3 + 71","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + (sqrt(192)\/(sqrt(56)\/sqrt(7)))\/(sqrt(48) + sqrt(240)\/sqrt(5))).\nAnswer: sqrt(2)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 214110 (base 5) to base 14\nAnswer: 29ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 627793 (base 10) to base 5.\nAnswer: 130042133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 12:57 AM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 493 - 437 = 0. Let i = n + 208. Solve 0 = -19*y + i*y - 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yya when three letters picked without replacement from {w: 2, q: 5, a: 1, m: 4, y: 2, k: 1}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/18 and -47\/7014?\nAnswer: 21042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -446.73035 < -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 7*x**2 + 2. Let i(m) = 3*m - 7968. Calculate i(b(s)).\nAnswer: 21*s**2 - 7962","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2638817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228 is divided by 1*-63*(44 - 45) + 0?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 30*b**3 + 4*b - 19. Let y be s(3). Calculate the highest common divisor of y and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 37 = -3*d - 2*s, 3*d + 4*s - 47 = 0. Suppose 0 = 3*c - d + 3. Find the common denominator of c + (-34)\/36 - -2 and 51\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/7)*v)**(-1\/69)\/(v\/((v**(-2)\/v*v)\/v)*v*v**(-2\/23)) assuming v is positive.\nAnswer: v**(-794\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 53987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - w**2 + w. Let x(s) = 7*s**2 + 4*s + 2. Let n be x(-1). Let p(j) = 1802*j**3 - 1795*j**3 - 3*j - n*j + 8*j**2. Determine 5*p(o) + 40*y(o).\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 u, and 1 r when three letters picked without replacement from ogruk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) - (sqrt(72) + sqrt(72) + 1 + 5 - sqrt(72))) + sqrt(72) + 4 + (sqrt(72) + -2)**2.\nAnswer: -18*sqrt(2) + 74","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-9)*(-3060)\/(-240)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a litre in millilitres?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -909308.83 and 305.8.\nAnswer: -909003.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4276?\nAnswer: 2, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47740, -95483, -143234, -190993?\nAnswer: -238760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 3*y - 3 = 0, -3*y + 0*y + 3 = 4*n. Suppose n = -2*d - 0*d + 10. Solve -g**4 - 4*g**2 - 2*g**3 + d*g**4 + 3*g**5 - g**5 = 0 for g.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 5*g - 20. Suppose g = 5*f - 28. Solve -f = -2*p - 8 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 2\/7, 0.241, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -2*u + 3*o, -u + 62 = u - 4*o. Let s be -34 - -1*(-2 + 0). What is the remainder when u is divided by ((-8)\/12)\/(2\/s)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 8. Suppose 6 = 3*r - 0. Suppose -5*h + 4 = -3*h + 5*d, -h = r*d - 3. Sort -5, n, h in descending order.\nAnswer: h, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.2183 rounded to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 4 = 5*i. Suppose 5*a - 13 = -3*o, -2*o + o - 2*a + 6 = 0. Let p = o - i. What is the third smallest value in 1, 3, p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/2 + 3\/(-4). Let o = -11 - -8. Let i = o + 0. Sort i, v, 0.1 in increasing order.\nAnswer: i, 0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -1155*c**2 - 3029*c + 1. Give z(-3).\nAnswer: -1307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 4*q**2 - 1. Let s = 57 - 85. Let z = s + 30. Let a be h(z). What is the greatest common divisor of 6 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**28*v*v*v)\/v**(3\/4) assuming v is positive.\nAnswer: v**(121\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -4. Let s be (-2)\/(i + 0) - -5. What is the third derivative of -5*a - 2*a**s - 3*a**2 + 4*a**3 + 5*a wrt a?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 23*z**2 - 2*z + 54. Let k be v(23). Let x(m) = m**3 - 8*m**2 + 10. Let q be x(k). What is the highest common factor of q and 150?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-202)\/8 + 348\/48 + -1 + -6. Sort -2, x, -4, -8, 5.\nAnswer: x, -8, -4, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 - 625*k**2 - 63925*k - 303875.\nAnswer: (k - 715)*(k + 5)*(k + 85)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j + 15. Let x(p) = -p**2 + 1. Let s be x(-1). What are the prime factors of b(s)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 8) to base 5\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 970 + -946. Calculate the least common multiple of 176 and l.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170818 divided by 383?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)*2)\/sqrt(5) + -1.\nAnswer: -1 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 6:30 PM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10008917.\nAnswer: 10008917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a hour in seconds?\nAnswer: 4950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 + 2)*(7533*y - 15069*y + 7539*y + 688) to the form h*y + d and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/10 of a millisecond?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w - 3 + 3 + (0 - 1 + 0)*(w + 2*w - w) + 2*w + 1556 - 4*w - 1511 to j + c*w and give j.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2738 = -4*f - 4*y - 2706, 2*y + 56 = 4*f for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13032 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 5 - (-6 - -2 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1644887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3440 is divided by 292?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 3*q - 40 = -5*d, 5 = 2*q + 5*d for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120\/290)\/(245\/(-1421)).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1776500 divided by 95\nAnswer: 18700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and (-4)\/(-8)*4 - 38\/(-2)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + -1 + 14 + 1. Let t(v) be the third derivative of v**6\/120 - 13*v**5\/60 + 17*v**4\/24 - v**3\/3 - v**2 + 1. Is t(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -88*a**2 + 186*a**2 + 257*a**2 + a - a - a**2 + (-2*a + 5*a - 2*a)*(-3 - a + 3) + 3 - 3 - a**2 + 0 + 0 - a**2 in the form h*a**2 + c*a + w and give h.\nAnswer: 351","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 9.06. Let a = -0.36 - q. Let b = a - -0.299977. What is b rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 - -52. Let a = 82 - b. Solve a = -0*w - w + 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/20 and -113\/306340.\nAnswer: 306340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1.3 * 13.8\nAnswer: 17.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 847020.4 hours?\nAnswer: 50821224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 36 (b) -12942 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1261740 and -13.29.\nAnswer: 1261726.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -1209.702.\nAnswer: -2419.404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 294?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/2 + 2 + (-142)\/60. What is the smallest value in 5, p, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 17873*v**2 + 2*v - 8931*v**2 - 8935*v**2 + 2. Let z(f) = 8*f**2 + f + 2. Determine 2*i(n) - 3*z(n).\nAnswer: -10*n**2 + n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - 8*v + 2. Suppose 0 = 2*z + 2*z - 16. Suppose -196 = -z*w - 0*w. Calculate the remainder when w is divided by n(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = a, -u - 8 - 2 = 3*a. Suppose 2*n - 10 = -3*n. Let b(s) = 1 - 4 + n*s - s. Calculate b(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r + r. Suppose -l = -r*l - 15. Solve l = 4*w - 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 20 = 8*d. Calculate the lowest common multiple of 12 and d.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4\/4 + 9*o**3\/2 + 15*o**2 - 89*o\/2 + 99\/4.\nAnswer: (o - 1)**2*(o + 9)*(o + 11)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 3*y + y, 56*y = 4*k + 55*y for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144442323 is divided by 152849?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 5*m**2 - 8*m + 3. Let z be o(-6). Solve 0 = 3*b + 2*v - z, 0 = -4*b + v + 17 + 3 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 bigger than 474\/67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 21*m**2 + 44*m + 6. Let k(d) = -105*d**2 - 223*d - 33. Calculate 2*k(x) + 11*u(x).\nAnswer: 21*x**2 + 38*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -24, -5, 207, 0 in decreasing order.\nAnswer: 207, 2, 0, -1, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -31648100, -31648098, -31648096, -31648094, -31648092, -31648090?\n\"Answer: 2*h - 31648102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 21767 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sq when two letters picked without replacement from {s: 4, q: 2, o: 7, c: 1, n: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a decade in months?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47 + 56 - 36 + z**3)*(-2*z + 2*z + z**2).\nAnswer: z**5 + 67*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -82\/3*a - 2\/3*a**2 - 80\/3.\nAnswer: -2*(a + 1)*(a + 40)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(19) - -3*sqrt(19)) + sqrt(19))*-6.\nAnswer: -30*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 258096 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -503*m + 61*m**2 - 64*m**2 + 137*m**3 + 248*m**3 - 475*m - 2*m**6 wrt m?\nAnswer: -240*m**3 + 2310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 9*u + 3*u - 73216. Does 52 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23 and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3234, -6447, -9660, -12873, -16086?\nAnswer: -19299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 - -64. Let f = v - -459. What is f rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 11*m + 28. Let v be g(9). Suppose -5 + 18 = a. Let s = a - v. Put -2, -4, s in descending order.\nAnswer: s, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/4 + (-170)\/20. What is the fourth smallest value in v, -5, -6, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107016 = 19*u + 105553 for u.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 51 - -63?\nAnswer: b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -15 + (4\/9 - 1)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, t: 1, v: 3, n: 10, p: 1, x: 2}. What is prob of sequence ffn?\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0*a = 2*q - 20, -a - 3*q + 25 = 0. Suppose 82 = 4*y + a. Calculate the remainder when 29 is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7029154, -7029148, -7029138, -7029124?\nAnswer: -7029106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 11, p: 5}?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 350*x - 9012 - 9888 = 0 for x.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.29 - -1.29. Suppose 4 = -r - 0. What is the third biggest value in -1\/5, r, o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q. Let g = 12 - 4. Let m = -4 + g. Let l(p) = m*p + 6*p - 6*p + 12*p. Give l(x(d)).\nAnswer: 32*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/(sqrt(35)\/sqrt(5)*-2 + sqrt(7)).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 80\/(-170)*2\/(-40). What is the second biggest value in c, -4, 2\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 + 11*i + 5. What is the remainder when 22 is divided by t(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(54)\/(sqrt(20)\/(sqrt(50)\/sqrt(5))) + sqrt(2700) + 0 + 4)*1)**2.\nAnswer: 1056*sqrt(3) + 13132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 11 = -y - 17, -2*j = 4*y + 4. Let z(f) = f**3 + 6*f**2 - 2. Let w be z(-6). Calculate the common denominator of (-127)\/j - w\/3 and -145\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.5, -8, 0.1.\nAnswer: -8, 0.1, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*j**5 - 2*j**5 + 4*j**5 + (-2*j**2 + 5*j**2 - 2*j**2)*(-j + 1 - 1)*(-3*j**2 + 4*j**2 + j**2).\nAnswer: -4*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 12, 27, 58, 111?\nAnswer: 192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/2*-2)\/(-1). Suppose 10 - 1 = r*i. Is i smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7*(10\/2 + (-57)\/(-21)). What is the greatest common factor of 189 and l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 25036593, 50073210, 75109827?\n\"Answer: 25036617*w - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1196286349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2548\/1820 + (-581296)\/(-10)?\nAnswer: 3, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 10:30 PM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*v**3 + 178*v**3 - 403*v**3 - 1212*v**3.\nAnswer: -1342*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((0 - -4) + -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 43*h**3 + 3*h**2 + 4*h - 9. Let a(z) = -41*z**3 - 4*z**2 - 5*z + 12. Let c(m) = -3*a(m) - 4*o(m). Give c(1).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2074 + -2056. Suppose 9*v - 110 = 4*v. Calculate the smallest common multiple of v and a.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**4 + 0*h**4 + h**4 + (-8573 - 81*h + 8573)*(h**2 + 20*h**3 + h**2 - 1 - 21*h**3).\nAnswer: 80*h**4 - 162*h**3 + 81*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4469 - 84905\/19. Solve -6\/19*l + 2\/19*l**2 + u*l**3 + 0 - 2\/19*l**4 = 0 for l.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*4\/(-16))\/((-135)\/14580).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by 293274?\nAnswer: -7\/146637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16 - 4350?\nAnswer: -4331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/28)\/(((-30)\/(-48))\/5).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 529 divide 10043850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -775.8534 or 0?\nAnswer: -775.8534","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f - f + f. Let c(b) be the third derivative of -7*b**5\/60 + 80*b**2 - 14*b - 1. Calculate y(c(o)).\nAnswer: -21*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k + 6. Let n(d) = d**3 + d**2 + d + 1. Let s be n(-1). What is l(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -191, -229, -267?\nAnswer: -305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -67471 rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 5*x**2 - 6*x + 6. Let k be l(6). Let s(j) = j**2 + 3. Let o be s(0). Let a be 1\/4*-2 - (-15)\/30. Solve k = o*g - a for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63849 - (15 + (-152)\/10)\/((-2)\/40)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 12 - 17 + 64 + 8*i**2 - 18.\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 4*g**3 - 19*g**2 - 6*g**3 + 5*g**3 + 61*g**2 = 0?\nAnswer: -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 515920421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 2*p + 155 - 157, 5*p + 2*n - 3 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7625, -7632, -7639, -7646, -7653?\n\"Answer: -7*u - 7618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 5:10 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*j**4*l - 6*j**2*l - j**2 - 350*l wrt j.\nAnswer: -40*j**3*l - 12*j*l - 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g**2 + 5*g + 2. Let o be h(-3). Let l be (-95)\/(-35) + 4\/o. Suppose -j - 37 = -2*d, l*d - 49 = -2*j + 10. Does 2 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.6 rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r + 1. Let l(h) be the third derivative of h**4\/6 + h**3\/6 - 2*h**2. Let f be (7 - 0 - 3)*-1. Let x = 3 + 3. Determine f*l(s) + x*m(s).\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(3\/5)*g*g*(g*g**2)\/g*(g*g**(-2))\/(g\/(g*(g\/((g\/(g*g**(-6)\/g))\/g))\/g)) assuming g is positive.\nAnswer: g**(-7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.5 (b) -0.8 (c) -0.4 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 14315294, 14315299, 14315306, 14315315?\n\"Answer: v**2 + 2*v + 14315291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + d - 8 = 0. Suppose -5*y + d*y + 9 = 0. Let k = y + -6. What is the greatest common divisor of 6 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 - 0)*(-2 - 0). Suppose 0 = -13*x + 11*x + 56. What is the remainder when v\/36 + (-1454)\/(-18) is divided by x?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19872886*k**2 - k + 43657232 wrt k.\nAnswer: 39745772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217*f - 907*f - 51797 + 11333 = 0 for f.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 2*g + 158, 4*i = -3*g - 317 + 106. Let v = i + 87. What is the remainder when v is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/2*(1 + 0). Let t = m + 2. Let z(o) = -2*o**3 - 5*o**2 + 4*o - 7. Let i(r) = r**2 - r + 1. Determine t*z(u) + 5*i(u).\nAnswer: -2*u**3 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence al when two letters picked without replacement from qllaahqqqqqqq?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21213 - -2031?\nAnswer: 23310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/1*(-3)\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -128567, -257132, -385697?\nAnswer: -514262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 402, 400, 396, 390, 382, 372, 360?\nAnswer: 346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -p**5\/20 - p**4\/3 - 7*p**3\/6 - 5*p**2\/2 + 6012*p - 1. Give c(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -693*m + 47254 - 94511 + 2*m**2 - 1163*m + 47255.\nAnswer: 2*m**2 - 1856*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -563326 = -3*x - 5*c, 997*c = -4*x + 1000*c + 751169. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (282*(-25)\/(-20475) + 4\/(-26))*24. Solve -48\/7*f**2 - 64\/7*f - 16\/7*f**3 - d - 2\/7*f**4 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 189\/126 + (9\/2 - 1). Let f(v) = -5*v + 4. Let o(a) = -5*a + 3. Let i(j) = 15*j - 9. Let l(k) = 2*i(k) + 7*o(k). Determine d*f(w) - 6*l(w).\nAnswer: 5*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(4\/5)\/(r*r**(-10)\/r)*(r**(-4\/3))**2 assuming r is positive.\nAnswer: r**(122\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 52*r - 312. Determine n(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j + 3*j - 28*j**2 + 23*j**2 + 66*j**2.\nAnswer: 61*j**2 + 8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4961 + -4?\nAnswer: -4965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18159.6 and -1.\nAnswer: -18159.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24.6 - 27.55. Let v = -2.9052 - x. Round v to 3 decimal places.\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(28\/8 + 11\/(-22)) - -27?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c + 3*w - 1, 0 = -4*c - 381*w + 376*w - 7 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -1, 0 in increasing order.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ktklick. What is prob of picking 1 l, 1 c, 1 k, and 1 i?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 797530 rounded to the nearest ten thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5124 - -5147. Let n(l) be the third derivative of -2\/15*l**3 - o*l**2 + 0 - 1\/50*l**5 + 0*l + 1\/600*l**6 + 3\/40*l**4. Factor n(s).\nAnswer: (s - 4)*(s - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -232123 (base 4) in base 10?\nAnswer: -2971","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 356303?\nAnswer: 17, 20959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (20\/(-3))\/(16\/(-72)). Suppose -z = -2*x + 8. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 298322441*r**3 + 3446684*r**2 wrt r.\nAnswer: 1789934646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-560)\/12)\/2*((-30)\/16)\/(215\/(-172)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110 (base 2) to base 7.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1592 and 21691?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -45 - -3162?\nAnswer: 3118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 131\/(-524)*((-4)\/3)\/2.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(190) - (sqrt(190) + 2*sqrt(190))*1) + (sqrt(190) - (sqrt(190) - -5*2*sqrt(190))))\/(-5*(sqrt(1440) + (sqrt(1440) - -2*sqrt(1440)))))**2.\nAnswer: 19\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0565851g to tonnes.\nAnswer: 0.0000000565851","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*k + 26*k + 11*k + 28*k.\nAnswer: 7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 57.32 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*f + 174 = -134. Suppose 0*j = -2*j + 86. Calculate the remainder when j is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1374 - 1374.2. Sort d, -54.3, 4.\nAnswer: -54.3, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -590 (b) 2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 16*d**2 + 224*d + 5. Let z be x(-14). Let q(s) be the first derivative of -3*s**2\/2 + 7*s - 2. Calculate q(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/3 + 7*k - 68\/3.\nAnswer: -(k - 17)*(k - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 11 = -g. Is 14 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-31 + 12 + -3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fhv when three letters picked without replacement from oiovffioooiffwh.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -2, -3\/2.\nAnswer: -2, -3\/2, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -115833505 divided by 23166701\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -2*j + 62, 3*j - n - 97 - 17 = 0. Let v be (-1 + j)*2\/6. Let z = -2 + 2. Solve -3*u - u - v = z for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 222 - 209. Let f(y) = 15*y**2 + 2*y + 1. Let h be f(-1). Suppose h*c = p*c + 81. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (4 + 0)) + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27.7 + 28.7. Suppose 0*d - d - 2 = 0. Let z be 0 - (d\/8 - -1). Which is the closest to 1\/3? (a) -0.2 (b) z (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 93 + -79. Let h = y + -7. Calculate the least common multiple of h and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74, 81, 98, 131, 186, 269?\nAnswer: 386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -6.6 (c) -4 (d) -3\/7 (e) 1\/3 (f) 294\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + 1. Let h(m) = 31*m**2 + 6. Give -h(j) + 6*x(j).\nAnswer: -37*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 4*r + 11 - 2, -4*r = -3*m - 1. Let h be (-654)\/(-15) + 4\/10*1. Calculate the greatest common factor of r and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/7, 5, 36, 21?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 67 = 3*c - 1, 3*s + 38 = -c. Let r be (1 - 1)\/(s + 13). Solve j = -r - 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.21? (a) -3 (b) 3\/2 (c) 79 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 9:42 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 9*q**3 - 2565*q**2 - 11*q. Let a(v) = 16*v**3 - 5128*v**2 - 19*v. Calculate 4*a(n) - 7*m(n).\nAnswer: n**3 - 2557*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3008651.\nAnswer: 53, 56767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (45*b**2 - 343*b**2 - 191*b**2)*(2 + 1 - 6)*(2*b + 0 + 0) to the form o*b + s + n*b**3 + y*b**2 and give n.\nAnswer: 2934","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 21*p**2 + 24*p + 44. Let n(q) = q**2 + 12*q + 5. Let x be n(-9). Let u be y(x). Suppose -4*c - 460 + 1340 = u. Is 10 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400568 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zrzhrrrrzzrozzz. What is prob of picking 1 h and 1 r?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -63*j**2 - 23. Let i(q) = 3*q - 46. Determine i(m(a)).\nAnswer: -189*a**2 - 115","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 3*x - 27 = 0. Let i(t) = t**3 + 9*t**2 + 12*t + 7. Let k be i(-7). Suppose -24*p + 51 = -k*p. What is the remainder when p is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6075 and 2365.\nAnswer: 2873475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 172, 216, 298, 424, 600, 832?\n\"Answer: l**3 + 13*l**2 - 2*l + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (5 - 2) - (1 + -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 y, 1 f, and 1 r when four letters picked without replacement from rffffyffkkffffkr?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -52 (b) 0 (c) -2 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 - 30 + 19*f**2.\nAnswer: 19*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, e: 1, d: 1, i: 1, l: 1, n: 1}. What is prob of sequence al?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 6*l = 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2237 is divided by 99.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -20816901*t**4 + 33518124?\nAnswer: -83267604*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -5*n - 11, n - 2 = -4*o - 17. Let j(r) = 120*r**2 + 40*r**2 + n - r - 4*r. Is j(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(-15) - (-68590)\/(-1434). Let q = o + -1\/478. Let z = 98663\/21516 + -4\/1793. What is the common denominator of q and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 6*j**2 - 2*j + 5. Let g be o(6). Let b(h) be the first derivative of h**3\/3 + 9*h**2\/2 + 10*h - 228. What is b(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1633297.\nAnswer: 19, 31, 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40 - -45. Let p = 19900.89 + -19901. Which is the smallest value? (a) 2\/9 (b) p (c) q (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 11*w**3 + 7*w**2 + 7*w + 77. Let u(j) = 5*j**3 + 3*j**2 + 3*j + 38. Let n(f) = 3*o(f) - 7*u(f). Differentiate n(x) wrt x.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -4, -3*k + 4*c = -0*c + 5. Let f(h) = -2. Let q(z) = -13*z - 52. Let x(a) = k*q(a) - 26*f(a). Let g(t) = -2*t. Determine x(g(i)).\nAnswer: 26*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -3440273*x**4 - x + 127*x**3 + 3440271*x**4 + 2 + 0*x + 2*x**2 as p*x**2 + b*x + d*x**3 + s*x**4 + i and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 63073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182 = -378*t + 1330. Which is bigger: -0.1238 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*i**3 + 21 - 4 - 15*i**3 to d*i**2 + t + j*i + p*i**3 and give t.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 minus -4?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 2*u - 1, 4*b - 3*b = u - 2. Suppose -3*l - 884 = -4*x, -b*x + 0*l = 5*l - 692. What is the greatest common factor of x and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (3 + (sqrt(85) + (-5*3*sqrt(85) - sqrt(85)) + sqrt(85))\/(3*sqrt(125)))*-1.\nAnswer: 2 + 14*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -868 + 861. Let y = -32 + 39.1. Let h = d + y. Put -1, h, -4 in increasing order.\nAnswer: -4, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -1, 0, -12, -1591493?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + w**2 - 63*w + 63*w + (0*w - 5*w**2 + 0*w)*(-1 + 2 + 2).\nAnswer: -14*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 9*i**2 + 14*i - 12. Suppose 168 = a + 2*a. Suppose 4*o + 16 = a. Does 14 divide d(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 22820043, 22820051, 22820049, 22820031, 22819991, 22819923, 22819821, 22819679?\n\"Answer: -y**3 + y**2 + 12*y + 22820031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o. Let r(x) = 127*x - 17. Let s(v) = -126*v + 14. Let u(a) = -4*r(a) - 5*s(a). Give u(t(g)).\nAnswer: -244*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -7*u + 2*u + 131265, -2*d - 4*u + 52514 = 0. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37 - -41. Suppose q = o + 3*o, -98 = -4*x - 2*o. Calculate the greatest common factor of 12 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 54 + (1 - (-30)\/(-6)). What is the highest common factor of q and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1006, 4059, 9162, 16315?\nAnswer: 25518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2015*-3.\nAnswer: 6045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.22 - -0.38. Let f = 1.81 - 0.21. Let m = x - f. Which is smaller: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21589*-260.\nAnswer: 5613140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x + 1. Calculate h(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*(-2 + (-3)\/(-2)). Let s be y\/(2*(-1)\/(-1)). Suppose -5*v + 15 = -s*v. Let c(u) = -u**3 + 3*u**2. What is c(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6592455 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7499?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/(-9)*6\/(-4). Let r = a - 5. Let g = 54 - 59. Sort 2, g, r in decreasing order.\nAnswer: 2, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9, -17, -31, -51, -77, -109, -147?\n\"Answer: -3*i**2 + i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27094 and 828.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.078 times -1233?\nAnswer: -96.174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -44 - 48. Let z be 0 - 2 - 0 - 0. What is the units digit of 2 + z\/(-2) + y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 0*j. Suppose j*s - 3 = -s. Let n be 34\/8 + (-2)\/8. Solve -2*c - n*f = -6, -3*f = s - 15 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 16 = -0*t + 4*t, 2*d = 0. Suppose -z = -3*z + 2*a + 6, a = -2*z + 3. Suppose -4 = t*j + 5*m, -z*j = -4*j - m + 4. Solve 0*s - j = -2*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 18\/5 of a century?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1706 + 56294\/33. Let n = z + 1493\/66. Calculate the common denominator of -13 - ((-7)\/5 - -1) and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3765849.\nAnswer: 3, 31, 40493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 237*q - 3298. Let b be s(14). Suppose 3*d = -o - 52 + 312, 0 = -4*d - 4*o + 360. Calculate the highest common divisor of d and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21605175667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3838 and -212.\nAnswer: -813656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 divided by 152?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -4*o**3 + 2*o**2 + o. Let r be g(3). Let y = 44 + r. Let d = 78 + y. Does 16 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1 + sqrt(320) + 2 + sqrt(320) + sqrt(320))*-4 + -5)**2 + -5.\nAnswer: 52800*sqrt(5) + 1155020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3792, -3886, -4136, -4620, -5416, -6602, -8256, -10456?\n\"Answer: -13*n**3 - 3*n - 3776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of 3*k**2\/2 + 57*k - 40. Let r be p(-19). Solve r = -s - 3 + 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 + -21. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39290 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 271421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -d**7\/420 + d**6\/300 + 11*d**5\/200 - 29*d**4\/120 + 13*d**3\/30 - 2*d**2\/5 + 17*d. Solve w(x) = 0 for x.\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -0.0474 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34041*s**4 - 9*s**3 - 122953*s**2 + 3 wrt s.\nAnswer: -816984*s - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**2 - 43*w - 11. Let f = -66 - -52. What are the prime factors of t(f)?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/9*(-357)\/(-1190)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b9 + 10c9?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -q + 8 + 60, -4*t = -4*q + 192. What is the remainder when q is divided by 41?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 7:44 PM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.94 - 0.64. What is the second smallest value in -1\/7, g, 3, 4\/9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 5*q + 37 + 28, 3*z - 259 = q. Suppose -12*g + 29*g = z. Suppose -13 = -3*u + 2. Solve -g*o + 24 = 4*l, l - u = -3*o + 2*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1898295521 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.8 and 415887 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-20 + 7 - -8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 230220588 to the nearest integer?\nAnswer: 15173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 a factor of 102410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 225*v**5 + 26 + 179*v**5 + 6*v - 435*v**5 wrt v.\nAnswer: -620*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9289 - 9292. Suppose 6 - 18 = 3*b. Sort 2, 5, n, b.\nAnswer: b, n, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4656 and 272?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -119592382 divided by 119?\nAnswer: -1004978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 301 (base 5) to base 16.\nAnswer: 4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(2\/42)\/(2\/(-6)). Let s = 6 - -15. Which is the smallest value? (a) s (b) -3 (c) y (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -n + 4 - 49*n**2 + n + 248018*n**3 - 248014*n**3 in the form r*n + l*n**2 + o*n**3 + h and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/279906 and 31\/16964.\nAnswer: 559812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + 17.1. What is the nearest to g in -3, -1\/9, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1042911031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4707 - -10?\nAnswer: -46c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 - -32. Let t(p) = 234*p + 52. Let w be t(u). Round w to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.734126 tonnes to nanograms.\nAnswer: 4734126000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 1:36 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a gram in milligrams?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -398*l - 270*l = 36396 + 25060 for l.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 160459?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -1208394.475 to the nearest 100.\nAnswer: -1208400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -993*y + 1436*y = -3472*y - 200249 - 58141 for y.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 + 1e5?\nAnswer: 1ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -6*b**2 + 32*b - 5. What is y(4)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 97 - -66. Suppose 0 = 3*d - 2*v - 98, -4*d = -3*v - r + 34. Let b = d - 29. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d + 3. Let h be p(3). Calculate the lowest common multiple of 2\/h + (-2893)\/(-66) and 6.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 166749270.\nAnswer: 1834241970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 237 - 539 + 302 - x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2*b)*(63 - 54 + 43) to the form m*b + x and give m.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4225758, 8451601, 12677444, 16903287?\nAnswer: 21129130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + 11*q + 13. Let n be d(-11). What is the highest common divisor of 39 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2*f + 6, 4*j = 4*f + 12. Suppose b - j = -0. Solve 4*s + b*q = -8, 12 = -s - 4*q - 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-15)*(-20)\/108?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1382 - -1386. Solve 0*g = -s*g + 3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 5:42 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 60513 - 2?\nAnswer: 60511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8740 and 6620740.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-94 - -89) + 15\/3. What is the nearest to v in -0.02, -1, 2\/9?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 10*t + 5. Let m(h) = -31*h - 18. Determine -8*b(s) - 3*m(s).\nAnswer: 13*s + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*p = 136*p - 12. Suppose 0 = -2*n - 4*z + 2, -2*z = -p*n - z - 5. Put -11, -2, n in decreasing order.\nAnswer: n, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*a - a**3 - 3*a + 22*a**2 - 3 + 5*a - 8*a + 2*a**3 to the form j*a + x + h*a**3 + r*a**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1952651622.\nAnswer: 2, 3, 19, 31, 673, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - sqrt(2)*3) + -1 + sqrt(72)*-1)**2.\nAnswer: 16*sqrt(2) + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 27*q**3 - q**2 + 5*q - 5. What is l(1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7249.758 times -5?\nAnswer: 36248.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 36149273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 9:53 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 490409 to the power of 1\/2, to the nearest integer?\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 4 = -5*n. Suppose -n*y + o = 25 - 85, -3*o = 2*y - 76. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 603389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-28)*-4*6?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 63*y + 70*y + 1 - 161*y + y - 3*y + y + (-2 - y + 2)*(-3 + 1 + 4) to the form f + n*y and give n.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1688 rounded to the nearest one hundred?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 45*w**2 + 87*w - 6. Let v(o) = 97*o**2 + 173*o - 13. Let s(u) = 13*b(u) - 6*v(u). Suppose s(i) = 0. What is i?\nAnswer: -31, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*c + 71*c - 15 = 0. Let k(r) = 5*r**3 - 2*r**2 - 8*r + 2. Let w(a) = -a**3 + a**2 + a. Let o = -13 - -19. Let p(g) = c*k(g) + o*w(g). Calculate p(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3535*z**3 - 637 - 656 + 1931 - 638.\nAnswer: -3535*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -0.161, -2\/3629?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/131860 and -107\/69400?\nAnswer: 1318600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0107 less than 2560928?\nAnswer: 2560928.0107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*s**6 + 2*s**5 - 284*s**3 - 5001*s**2 wrt s.\nAnswer: -360*s**3 + 120*s**2 - 1704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (w**2 + 0*w**2 + w**2)*(-6 - 5 - 6)*(-w + 7*w + 2*w) in the form c*w + u*w**2 + m + v*w**3 and give v.\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-6) + (-8)\/(-6). Let i = -1.75 - -2.25. Sort i, 4, w.\nAnswer: i, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f + 20. Let r be k(-12). Suppose 79 = 11*o - 9. Calculate the remainder when 40 is divided by o\/(-3)*(-66)\/r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32400 and 113706.\nAnswer: 204670800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1119.\nAnswer: 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 261 and 7?\nAnswer: 1827","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 3. Let u = -69 + 69.3. Which is the nearest to 3? (a) u (b) l (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 2 + 10. What is the tens digit of (-80)\/v*6\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -184*c - 2. Let t(y) = y. Determine -s(d) + 4*t(d).\nAnswer: 188*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and -7455.51.\nAnswer: -7456.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 120 = r + 3*v, 0 = -3*r + 4*v + 125. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6218 is divided by 1980.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52909.\nAnswer: 157, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-19) + 0)*(-3 - -2). Let u = 14\/95 + l. Suppose -1\/5*r**3 + u*r + 0*r**2 + 0 = 0. Calculate r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 323783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.122 + 104.8.\nAnswer: 107.922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + d + 2. Suppose 8 = 3*n - 4*f, 3*f = 2*n + 5*f - 10. Find the third derivative of -4*v**2 - 45*v**3 + 2*v**n + 45*v**3 + d*v**4 wrt v.\nAnswer: 96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -71, 7991\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12745 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: What is the smallest value in 0, 5, -34\/3, 0.04, -0.4, -22, 0.1?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58261 - 58261 - 33*j**2.\nAnswer: -33*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 18*u**2 - 824*u + 6901. Calculate h(11).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13441924 and 991.\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21847770465117 - 5.\nAnswer: -21847770465122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-10*3\/(-324))\/((-20)\/(-285)) and 516\/(-36) + 3\/(-3).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, c: 6}. What is prob of picking 4 l?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2299\/6 - 382. Find the common denominator of -33\/20 and w.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (3 - (0 - -3 - (-14 - -15)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29 and 1189?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2906 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*c**2 - 13*c**2 + 4*c**2)*(-1 + c**3 + 1) + (-20*c**3 + 4*c**3 - 4*c**3)*(0*c**2 - 2*c**2 + c**2).\nAnswer: 3*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a milligram in micrograms?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 68789, 68732, 68655, 68558, 68441, 68304?\n\"Answer: -10*v**2 - 27*v + 68826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -527*j - 11256. Give n(-20).\nAnswer: -716","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*-3*(-17)\/(-51))\/(-10).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -2*u + 8*v - 3*v, -u + 40 = 5*v for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 4*y - 2 - 2*y**3 + 4 + 2 + y**3 + 6*y**2. Let n be ((-4)\/5)\/(2\/(-15)). Does 13 divide d(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -4*x + 3. Let d be v(1). Let r be d + -2*(-3)\/6. Let h = 43 + -42.9. What is the nearest to r in h, -3, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a factor of 173258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47 - 16 - 2208*s - 2182*s + 6*s**2 + 4388*s + 48.\nAnswer: 6*s**2 - 2*s + 79","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 6 - (7 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190957?\nAnswer: 13, 37, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (-21 + 7 + (19 - (59 - 18)))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-20)\/(-6))\/(232\/(-60) + 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29614.09 decades to millennia.\nAnswer: 296.1409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - 15*c + 9. Let w be l(-13). Suppose 30 = 3*v + 5*n - w, -4*v = 5*n - 80. What are the prime factors of v?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 1)\/1 + 2. Let h = 0.011 - 40.011. Let q = h + 39.9. What is the biggest value in q, 3\/7, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13286 by -26.\nAnswer: -511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(108)*-1)**2 + sqrt(108)).\nAnswer: -648 - 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 833, -37455, -141383, -343771, -677439, -1175207, -1869895?\n\"Answer: -5470*b**3 + 2*b + 6301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -4, -60 in decreasing order.\nAnswer: 5, 0, -4, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 + -36 + 115 + 57?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1426880 rounded to the nearest ten thousand?\nAnswer: -1430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 213, 446, 699, 972, 1265, 1578, 1911?\nAnswer: 2264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**2 - 92. Let p be o(-9). What is the remainder when (18 - p)*(-6)\/4 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 225, 231, 239, 249, 261, 275?\n\"Answer: k**2 + 3*k + 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 2*r - 4, 30*r - 3*r = a + 23*r - 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-72)\/(-21))\/(-1) - -3.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2)*u)\/(u*u**(-13)))\/(((u*u*u**(2\/11))\/u)\/u)**25 assuming u is positive.\nAnswer: u**(71\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 14*o = 11*o + 546, -206 = -2*a + 5*o. What is the highest common divisor of a and 189?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46*((-6096)\/96 - -62)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1002315 or 0.2?\nAnswer: 1002315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21? (a) -16 (b) -4 (c) -5 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 199821 and 90429.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and 4658.9.\nAnswer: 4656.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*u = -6. Let o be (-1 + 0)*(-2 + u). Let n = 1 - 0.9. Which is the closest to 0? (a) o (b) n (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 30330, 30319, 30292, 30237, 30142?\n\"Answer: -2*s**3 + 4*s**2 - 9*s + 30337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zgeezhzgzgh. Give prob of sequence geg.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5975150272 - -1.7334?\nAnswer: 1.1358849728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/19 - 56923352*r\/19 + 56923350\/19.\nAnswer: 2*(r - 28461675)*(r - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 61605440*a**2*r**2 + 29111089*a**2 wrt r.\nAnswer: 123210880*a**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 9*d - 15 + 3 = -21*d + 15*d, 47*d + 274 = 4*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 12. Suppose -2*b + 4*c + 2 = 0, c - 13 = q*b - 8*b. Solve u = -0*u + b for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = d - 7 + 8, -12 = -2*d - 3*b. Suppose 13*g = d*g + 1948. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 50 - 35. Suppose 7*d - 6 = a. Suppose 3*l - d = -0*l, 5*l - 299 = -3*o. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -173*12\/(-16)*4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 264, 0, 2, -2\/7, 7, -3.92 in decreasing order.\nAnswer: 264, 7, 2, 0, -2\/7, -3.92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/1216 and -29\/4180.\nAnswer: 66880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 1:48 AM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10427040\/45 - (-22)\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*h + 17. Suppose -t = h*l + l, -7 = l + 2*t. Which is smaller: 2\/33 or l?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-7) + 0)*(-721)\/206. Let n(g) = -22*g + 51*g - 29*g + 7*g**z. Let h(f) = 22*f**2. Give n(h(t)).\nAnswer: 3388*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1934 is divided by 102.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-12))\/((-1)\/12). Suppose x = 26*r - 23*r. Is r at least -2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 21\/8 of a kilometer?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00035459 to five dps.\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -969 times 0.883\nAnswer: -855.627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - -35 - (-100 - -111).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m. Let i = 601 + -340. Let g(a) = -5*a**2 - 261*a + i*a. Give g(s(c)).\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.321 + 0.201. Sort 0.4, 0.1, g.\nAnswer: g, 0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*f + 5*f - 132 = 0. What is the units digit of (-60)\/35*(-1)\/(f\/504)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 6\/149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 53 - (54 - (0 + -44))\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/sqrt(108) - (1 + sqrt(22)\/sqrt(2))) + 1 - (-2*sqrt(880))\/((sqrt(5) + sqrt(20)\/sqrt(4))*1).\nAnswer: 10*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13995791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from daddaaa.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*k - 5 + 5)*((-5*k**2 + 6*k**2 - 3*k**2)*(-8*k - 9*k + 8*k) + 3*k**3 + k**3 - 3*k**3).\nAnswer: -646*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42332534?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 531 = q + 3*h, -5*h = -4*q - 1095. Let m be (-806)\/30 + 36\/q. Is m greater than -27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.7, -0.2, -101939, -1\/13 in increasing order.\nAnswer: -101939, -5, -0.7, -0.2, -1\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 1:00 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 11*x**2 - 77*x - 908. Let h be t(-9). Calculate the highest common factor of h and 4901.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 24*q**3 - 13*q**2 - 23*q**3 + 0*q**2 - 14 + 16*q. Let y be g(12). Calculate the greatest common factor of 17 and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*f**2 + 9*f**2 + 11*f**2 + (6*f + 0*f - 3*f)*(-5*f + 5*f - 3*f) + (-f + 1 - 1)*(-2*f - 4*f + 4*f).\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, j: 5, t: 3, x: 1, m: 1}. What is prob of picking 2 t and 1 x?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 13*t + 9. Let g be m(-12). Let r be (-2)\/((-4)\/2)*g. Let w be (r\/(-2))\/((-4)\/(-8)). Solve j + 4 = 2*j, -4*x + w*j = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -6.8. Suppose 5*g - 1 - 2 = t, 0 = -4*g + t + 3. Let f = -0.22 - 0.28. What is the closest to g in 4\/7, f, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 827101.\nAnswer: 11, 17, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 57, 63, 71, 81, 93, 107?\n\"Answer: v**2 + 3*v + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -12. Suppose -60 = 4*t + 2*t. Which is greater: u or t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 12*m**3 + 176*m**2 + 70*m - 596. What is f(-14)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 30*t**2 - 10*t - 33. Let i(n) = -13*n**2 + 5*n + 15. Let v(j) = 7*i(j) + 3*s(j). Factor v(y).\nAnswer: -(y - 6)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 242535, 242536, 242537?\nAnswer: 242538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1800*z + 1799*z + w - 13, 0 = 3*z - 2*w + 29 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-35)*s**(7\/6)*s*s)**(-1\/3) assuming s is positive.\nAnswer: s**(191\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 5:20 PM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.8052304 to 1 dp.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24 by -1302722.\nAnswer: -12\/651361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1 + ((0 + sqrt(833))*-5)**2)*-6 + 4.\nAnswer: -124948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (439000\/(-30))\/(-10)*(-6)\/(-4). Let o = 3525 - i. Does 35 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 150 = -20*y. Find d such that 137*d + 30 - 40*d**2 - 10*d**2 - 73*d - 69*d + 5*d**y - 7*d**4 + 27*d**4 = 0.\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140*b + 150*b = 304*b - 406. Calculate the remainder when 225 is divided by b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 10. Suppose -o = -2*t + 21 - 91, 0 = 4*o + m*t - 240. Is 13 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -462 - -1370\/3. Find the common denominator of i and 124\/20*1 - -3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/3824562 and 101\/8.\nAnswer: 15298248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*y**3 + 45*y**2 - 50*y**2 - 36*y**2 - 3*y**3 - y**3 + 3*y**3 + (2*y - 2*y + 2*y**3)*(-1 - 1 - 2).\nAnswer: -17*y**3 - 41*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 7 = -2*h + a, 2*h + 2*a - 4 = 0. Suppose h*y - 5*f - 48 = 0, 2*f = -4*y - 0*f + 90. List the prime factors of 21*y\/9*1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 44? (a) 3.2 (b) 1\/4 (c) -2 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**3 - 4*l**2 - 7*l - 2. Let a be d(-7). Let y = a - -50. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/1 + 13\/(52\/(-8)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -10406597\nAnswer: -10406593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 3*g - 11 - 26 = 0, c = 2*g + 13. Suppose -6*p + c*p + 26 = 0. Is 14 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/3 - (-584)\/(-288). Let r be (2\/45)\/((-8)\/(-95)). Let u = d + r. Which is the smallest value? (a) u (b) 1\/5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*o**2 - 2)*(-2*o**3 - o**3 + 5*o**3) + (-5*o**4 - 19*o**4 + 6*o**4)*(-3*o + 0*o + 2*o) + 0*o**5 + 0*o**5 - 2*o**5.\nAnswer: 20*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 363335 is divided by 11123.\nAnswer: 7399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 26280?\nAnswer: -1\/26280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uunwwwnw. Give prob of picking 2 u.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -341 + 334 = -7*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2857 + -2838.17. Let i = o - 16.979. Let m = -0.051 + i. Which is the nearest to 0.1? (a) m (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*v**3 - 3*v**3 + 2*v**3)*(v + v + 0*v) + 16*v**4 + 172 - 172 + 36*v**4 in the form y*v**2 + r*v + m*v**3 + l + j*v**4 and give j.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 19980559147599 take away -0.4?\nAnswer: 19980559147599.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**2 - 69*a + 534. What is g(-70)?\nAnswer: -4436","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90689 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 23*b + 4. Let n be r(7). Suppose 0 = 4*w - 9*w + n. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -3, -2\/31, -0.5, 6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000009136 rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 27963 divided by 9?\nAnswer: 3107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -811*t**4\/24 - 395*t**3\/3 - 1292*t**2. Differentiate q(i) with respect to i.\nAnswer: -811","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-35)\/(-10) - 0)\/(-11*14\/(-616))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3844.18ug in milligrams?\nAnswer: 3.84418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 67831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 22, 22, 0, -56, -158?\n\"Answer: -2*c**3 + c**2 + 11*c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -15\/7, 13, 1\/8, -9, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5120 is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.57378 - -0.3.\nAnswer: -0.27378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18076 is divided by 9033?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of t**8\/336 - t**7\/210 + t**2. Factor c(j).\nAnswer: j**4*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -217238 times -0.1\nAnswer: 21723.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-2)*4\/8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*j**3 + 1086*j**2 + 272*j.\nAnswer: -2*j*(j - 136)*(4*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 934 = 958 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, 211, -1, -263?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79550.51 decades to months.\nAnswer: 9546061.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 9:28 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -13. Let a = 7 - x. Calculate the least common multiple of 18 and a.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**3 - 2490*o**2 - 22248*o = 0.\nAnswer: -1236, -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of 13*y**6\/2 - 5*y**2\/2 + 35. What is the second derivative of g(s) wrt s?\nAnswer: 780*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - o - 58, 8*m + 3*o = 3*m + 145. Let j = m + -77. Is -49 < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 20*o**2 + 22*o - 15. Give w(21).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -47*d - 820. Calculate the remainder when 201 is divided by i(-18).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 108 = -3*n, 82 + 80 = 4*b - 2*n. Let k be b\/(-2)*6\/9. Let r be (11 + k)\/(2\/2). Sort r, 0, -3 in increasing order.\nAnswer: -3, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/40 of a tonne?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 320*p**2 + 5501*p + 1021. Determine b(-17).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1498569 by -499523.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) 0.6 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from othopqhq. Give prob of picking 2 q and 1 o.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in -0.6839, 7, -1\/19?\nAnswer: -0.6839","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -33546 and -0.1?\nAnswer: 3354.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**4\/3 - 154*x**3\/3 + 382*x**2 - 834*x + 504 = 0?\nAnswer: -84, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 n when four letters picked without replacement from nzzznznnznzzzzzzzz.\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3461.4 - 3461. Let z be 1 - -2 - (-1)\/(-1). What is the closest to z in 4\/3, 1, l?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3*2 + 2)*(-80)\/120. Factor -2\/3 + 10\/3*w + m*w**3 - 16\/3*w**2.\nAnswer: 2*(w - 1)*(2*w - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20037 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -93251\/5 + 21261271\/1140. Calculate the common denominator of -31\/741 and k.\nAnswer: 14820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v = -3*v - 3, 3*u = -v - 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5 (b) 1.01 (c) -0.07 (d) 32 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.096 and 395.85.\nAnswer: 395.946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -4*j - 14. Suppose 68 - 58 = -2*q. Let b be c(q). Let v(r) = -r**2 + 4*r + 7. Determine v(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 - 184 = 5*n. Calculate the remainder when 12\/(-12) - (-1 + n) is divided by (-4)\/22 + 167\/11.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-60) + (-6)\/(-10) - (-50)\/20. Solve -b = -x + 2, 3*x + o*b - 2 = 2*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-28))\/(9\/21)*217\/93\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4253817535.\nAnswer: 5, 11, 2213, 34949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.392269 decades in months?\nAnswer: 1007.07228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19\/4217 + 575259\/548210. Let i = -15\/13 + p. Which is the nearest to 0.1? (a) -1 (b) 2\/15 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**2*g)**(-1\/5)*(g*g\/(g\/(g**6*g)*g))\/(g\/g**7) assuming g is positive.\nAnswer: g**(61\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 643.5996 litres?\nAnswer: 643599.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + (-2)\/(32\/(-52)). Which is the nearest to k? (a) 2 (b) -0.2 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000029677792 rounded to seven dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -173*j**3 + 7*j**2 - 6. Let u(w) = -347*w**3 + 13*w**2 - 11. Determine -11*i(n) + 6*u(n).\nAnswer: -179*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 741*u - 736*u + 11*q - 195, 2*u + 50 = 2*q for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v + 36. Calculate the remainder when 41 is divided by z(-15).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*c + c. Let v be c - 4 - -2 - 0. What is g in 4\/5*g + 1\/5*g**v + 4\/5 = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52777\/430 - 612\/5. Let u = 1628\/301 - s. Let v = -10189 + 183481\/18. Calculate the common denominator of v and u.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 6:35 AM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 725958 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.11919 + 0.11872324. Round h to six dps.\nAnswer: -0.000467","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a\/(a*a*(a**(-4)*a)\/a*a))\/a*a*a))\/a*a\/a**(-2\/9)*a*(a**(3\/5)\/a*a*a*a)\/(a\/a**(-2\/3)*a))**(6\/29) assuming a is positive.\nAnswer: a**(-76\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/2 and 89\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 10*u**2 + 536*u - 3891. Calculate p(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 2*x - x + (4*x - x - x)*(4 + 1 - 4))*(14 - 14 + 7*x**2).\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-4\/5)*x**0*x)**(8\/5))**(4\/7))**(9\/7) assuming x is positive.\nAnswer: x**(288\/1225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 92161\/7 + -306345271\/23268. Let v = r - -2\/277. Which is the nearest to 0.2? (a) 4 (b) -1\/5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59488571803 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 532 and 10108.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (w**3 + 14*w**2 - 14*w**2)*(w - 3*w + 3*w - 3) in the form b + g*w**3 + u*w**4 + x*w**2 + h*w and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*y = -y - 37, -3*y = 3. What are the prime factors of w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 125 - 71. What is the lowest common multiple of q and 3?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 792073, 1584244, 2376415, 3168586, 3960757?\nAnswer: 4752928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 2)*((2 + 2*p - 2)*(-2 + 0 + 1) + 0*p + 0*p + 3*p)*(2*p + 6*p + 4*p).\nAnswer: -48*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + 29*a - 38. Give g(-31).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129*m**3 + 4409*m + 64*m**3 + 60*m**3.\nAnswer: -5*m**3 + 4409*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38380154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -34*y**2 + 231*y - 232. Let n be b(1). What is the nearest to 4\/3 in 0.06, -4, n, -5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -11*q**2 - 2*q. Let t be h(-2). Find the common denominator of 2\/(-7) + 926\/(-140) and 3*2*(-33)\/t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*z + 5*h, -3*h = 2*z - z + 3. Solve -z = 2*i - 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 30389086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -110, -236, -422, -674, -998, -1400, -1886?\nAnswer: -2462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.1, -7, 2\/21, -17 in ascending order.\nAnswer: -17, -7, -4, 2\/21, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/10)\/(-4)*(-21)\/14\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 558*r + 482*r - 4 - 1046*r.\nAnswer: -6*r - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2 - 9*n + 5. Let v be z(4). Let w be (-1)\/(v + 0) - -1. What is t in -1\/4*t**2 + 1\/4*t**4 + 0*t - t**3 + t**5 + w = 0?\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13ecd - -2?\nAnswer: -13ecb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2 + (sqrt(425) + sqrt(425) + sqrt(425) + -1)*3)*-3.\nAnswer: -675*sqrt(17) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -209 (b) 2\/13 (c) 9537\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*r**2 + 220*r**2 - 9*r**2 + 38*r - 128*r**3 - 94*r - 18 - 18.\nAnswer: -4*(r - 1)**2*(32*r + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-19)\/k)\/(k*(k\/((k\/(k**(-6)\/k))\/k)*k)\/k) assuming k is positive.\nAnswer: k**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -18*d + 39. Let h(x) = -x + 2. Let n(m) = 6*c(m) - 117*h(m). Let v(r) be the second derivative of -r**3\/3 + 4*r. Give n(v(g)).\nAnswer: -18*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d**3 + 15*d**2 - 9*d + 12. Let n(m) = 2*m - 27. Let q be n(17). Let v be j(q). Let f(h) = 6*h + 13. Let k be f(v). Solve -k = -5*x + 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 1. Let y = 60 + -102. Let j be m\/2 + y\/(-12). Solve 3 = -j*b - 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 15, 36, 55, 66, 63, 40, -9, -90?\n\"Answer: -z**3 + 5*z**2 + 13*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 6*z - 27. Suppose -6*p = -105 + z. Calculate the greatest common divisor of p and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seven eighths of a second?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/3, 0.3, 2\/17, -12, 0.0019?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2 + 3*v + 2*v - 2*v. Let j = 7 + -3. Suppose j*t - 19 = -7. What is r(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r - 2. Let n be w(1). Let c = -12 + 20. Let u = -1 + 1. Solve n = 4*j - c - u for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 4*j. Suppose u = -u + 56. Suppose -u = 5*i - 8. Does j = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2434022041 - 11?\nAnswer: 2434022030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2272581517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is d899 (base 14) in base 13?\nAnswer: 14020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/154060 and -107\/29995482.\nAnswer: 299954820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 8. Let z be 112\/28 + (0 - 1). What is l in -3 - 6*l + 7*l**z - 2*l**p + l**3 + 3*l**4 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3248993?\nAnswer: 11, 295363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 53857, 107677, 161497, 215317, 269137, 322957?\n\"Answer: 53820*c + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4 = -4*v + 5*v, 0 = 2*v - 3*o + 20. Let w be (1\/(-5))\/(8\/(-10)). Which is the third smallest value? (a) v (b) w (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11*((-115)\/(-11) - 11) - (-488)\/(-82).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 297690.\nAnswer: 2, 3, 5, 9923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -15) + -9 - (-1 - -3) - 7\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/111 and 113\/10?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5\/3)\/(h*h**23*h))\/(h*h**32*h**27) assuming h is positive.\nAnswer: h**(-260\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/(-442)*51155\/19675.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38.5 - -38.499998966. Round h to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72114553 divided by -7\nAnswer: -10302079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-2))\/((-2)\/(-26)). Let j = -9 - s. What is the lowest common multiple of 10 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g + 46*g**2 + 9 + 34*g**3 - 16 - 46*g**2.\nAnswer: 34*g**3 + 4*g - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 at least as big as 77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-1)\/4)\/((-31)\/48236)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**3 + 2*d**3 - 5*d**3 - 2*d**3.\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*w**2\/3 - 68*w\/15 + 2\/15.\nAnswer: -2*(w + 1)*(35*w - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 12, -8, -1\/8, -0.03?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -256*g**5\/5 + 13968*g**4 - 3055492*g**3\/3 + 380628*g**2 - 47524*g - 197. Factor v(f).\nAnswer: -4*(f - 109)**2*(8*f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -20. Calculate the common denominator of t and (-21)\/(-7) + (-82)\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000000 + 0?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110 = -120*i + 109*i for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)*4 + sqrt(18))\/(-3*-3*sqrt(6)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.3 + -0.1. Let h = -18 + 17.2. Let q = c - h. Are 0.4 and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -67, -103, -201, -391, -703?\n\"Answer: -5*d**3 - d**2 + 2*d - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/2 of a meter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4994155.\nAnswer: 5, 998831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63082 is divided by 61208.\nAnswer: 1874","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j\/(j**(-2\/7)*j)))**(-2\/27)\/(j**(-4)*j**(-2))*j\/j**(-6)*j*j*j\/(j*j\/((j\/j**2)\/j))*j**4*j**4 assuming j is positive.\nAnswer: j**(1252\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qzd when three letters picked without replacement from {q: 2, d: 1, z: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 - 2.8. Let u = -319 + 315. Which is the third smallest value? (a) 4 (b) v (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114934?\nAnswer: 2, 57467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 6*c. Let i be a(-5). Let u be 3200\/18 + 4\/18. Suppose -5*b - u + 28 = 0. Does b = i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -106 - -90. Let b be (-4)\/a*(-4)\/(-8). What is the nearest to -1\/3 in b, -2\/9, 2\/7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4 = 4*r - 2*r, 4 = 2*r - 2*v. Suppose r*n = p + 29, 0*p + 4*p - 20 = 0. Solve -2 + n = 3*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 451252.1 milligrams to micrograms.\nAnswer: 451252100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -169, 9, -3\/7?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, h: 3}. Give prob of sequence gg.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-102 - -75) + (10 - 5 - 3 - 5) + 8\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 728 and 280.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 119.832 - -0.168. Let t = o - 119. Let x = -249\/4 - -62. Which is the third smallest value? (a) x (b) 2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 265 = 2*g. Is (g\/(-10))\/((-3)\/(-6)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-8)\/(s**(-6\/13)*s*s))\/((s\/(s\/(s\/(s\/(s\/(s\/(s*s**(4\/9))))))*s))\/((s\/s**(-3))\/s)) assuming s is positive.\nAnswer: s**(-817\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 17. Suppose 0*f + v*f - 170 = 0. Calculate the remainder when f is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/27747 and -137\/147984.\nAnswer: 443952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rhrrrhrhhhrrh. What is prob of sequence rr?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/11 (b) 1 (c) 1\/2 (d) -3 (e) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.2, 1, 11, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0414 - -0.5714. Which is greater: n or -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(1\/8))**(-2\/7)\/(w**(-7\/2)*w**(2\/53)) assuming w is positive.\nAnswer: w**(681\/212)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -3*d**2 + 251*d - 11\/6*d**3 - 3\/4*d**4 + 0. Let y(h) = -8*h**2 - 10*h - 5. What is 6*b(w) - 7*y(w)?\nAnswer: 2*w**2 + 4*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 10605808 and 21211615\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 3*f + 4 = a, 0 = 3*f - 6. Suppose 2*o - 13 = -4*g + 7, 0 = -4*o + 3*g - 4. Solve o*p = a + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w**2 - 4*w - 4. Let r(v) = 8*v**2 - 11*v - 11. Let i(y) = 11*c(y) - 4*r(y). Let x(m) = -65*m**2 + 4*m. Determine i(x(o)).\nAnswer: 4225*o**4 - 520*o**3 + 16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 179520 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1120921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/35 or 0?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160 + -81 + (-40 - 9).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**(-18)*a*a**(-2\/85) assuming a is positive.\nAnswer: a**(1698\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 63934442317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/49, -5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*(0 + (-1)\/(-2))*(-49 - -60). Let z(t) = -5*t - 7. Let h(o) = 14*o + 20. Calculate l*z(w) - 4*h(w).\nAnswer: -w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-39)\/153 - (-10)\/(-30) and ((-6)\/(-9))\/((-4)\/(-137)).\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -693*s**4 + 666*s**3 - s**2 - 711*s + 57.\nAnswer: -16632*s + 3996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - 3)\/(2 - 3). Suppose -g + p*i + 14 = 5*i, -2*i = -g + 28. Let f = -14 + g. Solve -4*z + 10 = -2*o - 0*o, 5*z - 2*o - f = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 4*w = -7 - 18, -z - 3*w - 2399 + 2389 = 0 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3025.059 weeks?\nAnswer: 508209.912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 5*q - 9 + 3, q = 3*g - 18. Suppose -g*u + 2*u = 0. Suppose 2*t + w + 5 - 25 = u, 3*t + 3*w = 30. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 6:00 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-30)\/3)\/(1\/(-3)). Let h = 31 - d. Sort -5, h, 21.\nAnswer: -5, h, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 1020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-24)\/9)\/((-20)\/(-12) - 2). Suppose o*f - 619 = 2269. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + 36*a + 403. Calculate z(-8).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*n - 3*t - t, -3*t - 3 = 2*n. Let w = 66 + -65.8. What is the second biggest value in n, -0.3, w?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-150)\/8*2\/3. Let s = n - -11. Let h = 0.04 + 1.96. What is the nearest to 1\/3 in s, -1\/3, h?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41405941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*v - 8*v - 3*v + 112 + 32 = 0 for v.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 26 = -7*v + 2*v, -4*u = -2*v - 16. Suppose u = 4*h - a, 0 = -h + 3*a - 2*a. Factor 7*q**h - 3 - q**2 + 29*q - 32*q.\nAnswer: 3*(q - 1)*(2*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -108270 (base 13) in base 16?\nAnswer: -5f0b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000110111001001 + -1000?\nAnswer: 100000110111000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 726 = -5*l. Suppose 393 = c + 15*j - 18*j, 0 = -3*c - j + 1149. Let k = l + c. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1084501 by 5189.\nAnswer: -209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (3896\/(-10))\/(1\/(-3)*(-288)\/(-480))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4607 (base 10) to base 3.\nAnswer: 20022122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6354 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 290 in -1\/6, -2\/13, -3, -273, -4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5 - 9*z + 8*z + 0 with respect to z.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 14730591 = 2*b, -95*b = -4*y - 93*b + 11784472. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i**4 - 11 - i**3 + 15 - 2*i**3 as q*i + r*i**4 + v*i**2 + z*i**3 + p and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/14, 0.4, 32395 in ascending order.\nAnswer: 1\/14, 0.4, 32395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2125 is divided by 2116?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/3*75\/(-20). Suppose -o - 5 = f*t + 7, -3*t - 6 = o. Suppose 1255 = 2*k + o*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -7*u**3 - 22*u**2 + 9*u + 3. Let r(c) = 4*c**3 + 11*c**2 - 5*c - 1. Let h(p) = -3*j(p) - 5*r(p). Calculate h(-11).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 105213957 to the nearest 100000.\nAnswer: 105200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.2 (b) 3\/5 (c) -70\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 8:50 PM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000340624775 rounded to six dps?\nAnswer: -0.000341","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 11:54 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3720 and 1467075.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 13 (b) 0.5 (c) 1\/6 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 11*l**2 + 2*l - 36. Determine p(10).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 - 3 + 3)*(-91*n - 92*n + 174*n) + (-2 + 0 + 1)*(-2 + 2*n + 2))*(1 - 1 - 1)*(0*n - 4*n + 6*n)*(-3 + 6 + 1) to p*n**2 + l + u*n and give p.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9761 + 9828. Put j, -3, 19, 3 in increasing order.\nAnswer: -3, 3, 19, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.5 + -4.16395?\nAnswer: -6.66395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 1492.\nAnswer: 1\/1492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 231529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 7*y + 5. Suppose -4*u - 2 - 2 = j, -u = -5*j + 22. Let l(q) = q**2 - 8*q + 6. What is j*l(b) - 5*t(b)?\nAnswer: -b**2 + 3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93297525?\nAnswer: 3, 5, 1243967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 5\/7 (b) 4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.04 + -0.04. Let z = -2622 - -2626. Which is the closest to u? (a) z (b) 2\/3 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y - 5. Let w(x) = 2*x + 3. Let a(o) = 3*t(o) + 2*w(o). Give a(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100223013221 (base 4) to base 15.\nAnswer: 5b514b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 3:26 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 2:49 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 463343401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 82 + -77. Solve -3*a + 5*f = -19 - 21, 0 = -k*a - 5*f for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -113?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2243? (a) -0.2 (b) 1.389 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {t: 4, w: 4, q: 6}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 15*r**2 + 17*r - 3. Let v be d(16). Factor v*j**2 - 72*j - 25*j**2 + 15*j**3 + 20*j**2 - 73*j**2 - 109*j**2.\nAnswer: 3*j*(j - 12)*(5*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*f = -57*f - 1206 - 324 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 6522924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3176? (a) 2 (b) -4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18343320 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 2*p + 1. Let s be k(-2). Let w(f) = 13*f**2 - 4*f. Let q be w(s). Suppose 0 = -8*a + 5*a + q. Is a a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 1. Let x(y) be the third derivative of -y**5\/60 + y**3\/6 - 1301*y**2. Give x(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l - 30 = -18*l. Solve l*t = 5*t - 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001038 to 5 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12039594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -40*j**3 - 4*j**2 - 14*j + 68. Let m(s) = 26*s**3 + 3*s**2 + 9*s - 45. Let l(z) = 5*a(z) + 8*m(z). What is the tens digit of l(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 150672177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 24 = -5*u, -5*g + 4 = 14. What are the prime factors of u\/(-42) - (-4932)\/21?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of 7*m**6\/60 + 17*m**4\/24 + 17*m**3\/6 - m**2. Let z(c) = 5*c**3 + 6*c + 6. Give 6*a(y) - 17*z(y).\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -251 in 10\/3, -3, -4, 40\/3, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, 1\/4, 23\/5?\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1811704.\nAnswer: 2, 226463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(75))**2*-4*1.\nAnswer: 1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 100 and 80?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -899*m**2 - 102*m**3 + 899*m**2 + (3*m**3 - 3*m**3 + m**3)*(2 + 2 - 3) - 2*m**3 + 0*m**3 + m**3 + (2 - 2 + m)*(-1 + 1 - 3*m**2).\nAnswer: -105*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -5*o - 3299, 2*a + o = 6*o + 1657. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*c - 5*p, -4*c - 3*p + 16 - 3 = 0. Sort 13, c, 2, 6 in ascending order.\nAnswer: 2, c, 6, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*x - 5*x + 10*x - x - 2 + 2 + (-4*x + 2*x + 4*x)*(0 - 3 + 4) + 2 - 2 - x - 1 + 4*x + 1 in the form g + b*x and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 4, 9.\nAnswer: -3, 4, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 133003 + 1201?\nAnswer: 200210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1371*r + 1310*r + 2*r**5 - 54*r**2 + 9*r**5 wrt r?\nAnswer: 220*r**3 - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -5*s**3 - 21*s**2 - 46*s - 150. Suppose g = 3*g - 126. What is the least common multiple of g and u(-4)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 20648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.26205 + -0.13795. Sort -2\/11, 3, -1, -62\/3, u in decreasing order.\nAnswer: 3, -2\/11, u, -1, -62\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -6*q**3 + q + 1. Let a be x(-1). Let w(s) = -16*s**3 - s**2. Let u be w(2). Let g = -66 - u. What is the highest common divisor of a and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from btbahoopbppbaho. Give prob of picking 1 t and 1 h.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(91)*2 + -1*-2*sqrt(91))\/(sqrt(448) - sqrt(448)*1 - (sqrt(70)*2)\/sqrt(10))*-6.\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-21)\/(-18) - 1 - 1. Let f = 991\/6 + -165. Sort 2, f, l, -1 in ascending order.\nAnswer: -1, l, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nsissinnssnnssn?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000516 rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, -4\/5, 1\/483, -0.5 in ascending order.\nAnswer: -4\/5, -0.5, -0.04, 1\/483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.24*-448.1\nAnswer: -107.544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1674, -3324, -4974, -6624?\n\"Answer: -1650*t - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18a304 (base 11) to base 2.\nAnswer: 1000111010000010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-6)*(-30)\/(-4). Let m(z) = z**2 - 10*z - 2. Let k be m(i). What is the third smallest value in -3, k, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/6 + 66\/(-9). Let t = -5 - w. Solve 0 = 4*y - 3*y - t*d + 6, y - 5*d + 10 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 266*n + 1797. Give j(-7).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -340 + 442. Calculate the greatest common factor of 34 and t.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (186\/(-1023))\/((-26)\/22)*2\/(-4)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19865 + -19335. What is the highest common factor of m and 9805?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, -1, -30, -93, -202, -369?\nAnswer: -606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of f**4\/6 + 7*f**3\/3 - 8*f**2 + 64*f. Suppose p(q) = 0. What is q?\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and (-59)\/(-6) + (-2)\/(-12).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/8*8\/3. List the prime factors of 1*4 - (a + -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.4 + -1.4. Let t = -0.0716 + 5.0622. Let k = t - o. What is k rounded to three dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 305 + -298. Let p(u) be the second derivative of 0*u**2 - 3\/100*u**5 + 0*u**3 + 1\/10*u**4 - 1\/25*u**6 + 0 - 2*u + 1\/70*u**t. Find z such that p(z) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111 - 1000111000011?\nAnswer: -1000111010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3444, 3442, 3440, 3438, 3436?\n\"Answer: -2*t + 3446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, -6, -35, -96, -201, -362, -591?\nAnswer: -900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16575 and 3710535?\nAnswer: 4100141175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 25 times 3\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1173 - -1173.328. What is q rounded to two decimal places?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 49*w**3 - 6*w**2 - 4*w - 1. Let b(t) = 198*t**3 - 22*t**2 - 15*t - 4. Calculate -6*b(p) + 22*f(p).\nAnswer: -110*p**3 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -8, -26, -54, -92, -140?\nAnswer: -198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -256 + 261. Which is the fourth biggest value? (a) 2 (b) 30 (c) 0.03 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 584187432*f**5 - 2*f + 17493288 wrt f.\nAnswer: 11683748640*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -5*i**2 + 8*i - 6. Let d(r) be the second derivative of -r**4\/3 + 7*r**3\/6 - 5*r**2\/2 + 10*r + 3. Give 6*c(t) - 7*d(t).\nAnswer: -2*t**2 - t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*d - 108*d - 783 = -34*d for d.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 403676809?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256493 is divided by 71?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**8\/g)\/(g*g*g**(5\/4)*g*g))\/(g**15\/(((g\/(g\/(g\/g**(3\/10)*g)))\/g)\/g*g)) assuming g is positive.\nAnswer: g**(-251\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -105*z**4 + 1164*z**2 - 818567.\nAnswer: -420*z**3 + 2328*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -115240 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (262\/7)\/(7\/(-42)). Let h = -224 - t. Let j = 13 + -9. Which is the third biggest value? (a) j (b) h (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((15\/(-87))\/(-3 - -8))\/(1\/(-2)).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14026631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 565 - 1914 + 5135*t - 3897 wrt t?\nAnswer: 5135","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 23691659 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -367 + 682. Let h = 314.9999925 - u. Round h to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o + 4*o - 3*o)*(-3 + 6 - 1)*(6 - 2 + 1) to the form l + n*o and give n.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (15\/12)\/((-1)\/4). Let q = -43 - -73. Let z = -30.5 + q. What is the third biggest value in u, -0.3, -2, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 59\/38 or 2?\nAnswer: 59\/38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 4*(-1*sqrt(28) + 3 + sqrt(112) + 3*sqrt(112) + sqrt(112) + sqrt(112) + sqrt(112))**2.\nAnswer: 624*sqrt(7) + 18966","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.07 (b) 2 (c) -29\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155\/84 and 25\/56.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 378 is divided by 109.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2b76 + -57?\nAnswer: -3011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-6)\/y)**45 assuming y is positive.\nAnswer: y**(-315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 18010310 to the power of 1\/2, to the nearest integer?\nAnswer: 4244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 3*l**2 + 5*l + 2. Let d be i(4). Suppose f - d = 5. Is 11 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.311644km to micrometers.\nAnswer: 7311644000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 1953343.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of r**4\/4 + r**3\/3 - r**2 + 2. Let h(z) = z**3 + 7*z**2 + 6*z + 2. Let o be h(-6). Give l(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1320 - 1317. Solve -5*h + 0*h = -5*a, q*h = -4*a + 21 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u - 19*u - 12*u as j + h*u and give h.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 70*c - 67*c + 42, -4*p = c + 22. Which is smaller: -246\/25 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m. Let r be c(-1). Let i = r + -1. Let n = i + 7. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-74)\/(-5) + (-496)\/620. Calculate the greatest common factor of 518 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1968 is divided by 90.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -0*n + n, -3*n + 8 = -2*q. Let t be (-28)\/(-42) + q\/6*13. Solve i - 13 = -3*i + s, 0 = 2*i - s - t for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -227884, -227885, -227886, -227887, -227888, -227889?\nAnswer: -227890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**4 + 4*j**4 - 2*j**4 + (-9*j**2 - 17*j + 17*j)*(-82*j**2 + 82*j**2 + 55*j**2) as i + f*j**3 + l*j**4 + s*j**2 + d*j and give l.\nAnswer: -491","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of w**8\/4 + 4*w**7\/105 - 835*w**4\/8 - 848*w**2 - w. What is the second derivative of n(p) wrt p?\nAnswer: 1680*p**3 + 96*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**4 + 3686724*k**3 + 95856852*k**2 + 623073932*k.\nAnswer: -4*k*(k - 921707)*(k + 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 2*l**2 + l - 4*l - 2*l + 66*l**3 + 0*l - 5*l in the form t*l**3 + g*l**2 + k*l + b and give t.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07801 take away -7?\nAnswer: 7.07801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 0*d**3 - 5 + 5*d + 3 + d + 7*d**2 - 4 + d**3. What is g(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1316849881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 2*q**2 - 2*q + 1. Let y(u) = -5*u**3 + 4*u**2 + 9*u + 5*u**2 - 15 + 11. Calculate -9*h(b) - 2*y(b).\nAnswer: b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 27*w + 2063. Let y be m(-76). Solve -t = 5*j + 1, 11 = -10*j + y*j + 3*t for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11542959 a multiple of 226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7\/4 (b) -0.1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42316 is divided by 209?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express q**4 - 547*q**3 + 5 - 542*q**3 + 1090*q**3 - q as h + u*q**3 + m*q**4 + b*q**2 + j*q and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.296382 rounded to 3 dps?\nAnswer: 3.296","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 3*z**2 - 3*z - 4. Suppose -5*w - 3*m = 12, 0 = 3*w - m + 14 - 4. Let o(q) = -4*q**2 + 4*q + 5. What is w*o(u) - 4*n(u)?\nAnswer: 4*u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1095 + 97.0395. Let q = 12.1 + p. Let k = q - 109. Which is the third biggest value? (a) 0.4 (b) -0.9 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0135 rounded to 3 dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3642.171 litres to millilitres.\nAnswer: 3642171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 3:29 AM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -66 - -102. Let q be f\/112*(-7)\/(-6). Which is the nearest to 0.1? (a) q (b) 1 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*182\/36 - 7\/(-63). What is the closest to w in 4, 10, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*h = 4. Let d = 0 - -3. Suppose 20 = h*u, 0*v - 8 = -d*v - u. Sort 0, -5, v in descending order.\nAnswer: v, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03388 to three dps.\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of j**6\/120 - 59*j**5\/60 + 23*j**4\/2 - 54*j**3 + 556*j**2 + 2*j. Factor i(f).\nAnswer: (f - 54)*(f - 3)*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5652 is divided by 4185?\nAnswer: 1467","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38991*b**3 - 38362*b wrt b?\nAnswer: -233946*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 4*h + h = -400, -h = -3*o + 240. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66464291 is divided by 5751?\nAnswer: 5735","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1764516 (base 8) to base 12.\nAnswer: 210066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l - 3*l + 11*l - 9*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyauyozyu. Give prob of picking 1 y and 1 u.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*c + 5*w + 19 = -65*c, -6 = 3*c - 2*w for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jhhh when four letters picked without replacement from {j: 5, h: 11, t: 1}.\nAnswer: 165\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2*c = 14, -3*c + c = 3*f - 2. Let x be (-86)\/(-14) + f\/14. Is (-144)\/(-15) + x\/15 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 616692763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 6*x - 10. Suppose 0 = -2*d + x*g + 4, 0 = -3*d - g + 2*g + 14. What is the greatest common factor of d and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -5. Suppose -d*m = m. What is the third derivative of 0 - g**2 - g**3 + m wrt g?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q**5 + q**5 + 4*q**5 + (0*q - 2*q + 0*q)*(-2*q**4 + 2*q**4 - 3*q**4) - 2*q**5 - 3*q**5 + 0*q**5.\nAnswer: 2*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (91\/624*16)\/(24\/18)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -340*x + 342*x + u = 4208, -8434 = -4*x - 5*u. Calculate the remainder when x is divided by 49.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -182, -255, -458, -857, -1518, -2507, -3890?\n\"Answer: -11*s**3 + s**2 + s - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211584?\nAnswer: 2, 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**2 - 56*d - 292. Give q(-21).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 2032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 3\/7, 0, 0.5 in ascending order.\nAnswer: -0.1, 0, 3\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5*((-44)\/40 - (-1)\/2). Solve 4*h = c*h - 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8 - -30?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, u: 3}. Give prob of sequence uquq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -145 (b) -7 (c) 1 (d) 2\/3 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 z when two letters picked without replacement from {g: 3, m: 3, e: 6, z: 2, f: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -24, -25, -26?\n\"Answer: -o - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/19959, 14\/31, 0.2, -2?\nAnswer: 14\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 14*l - 3 + 3 - 12*l. Let k(s) = -18*s. Determine n(k(d)).\nAnswer: -36*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*k = 24*k - 4. What is the third derivative of 3*j**4 - 19*j**4 - 114 + 3*j**k + 114 wrt j?\nAnswer: -384*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -1 + 47366*c + c**2 - 47366*c. Let u(j) = -2*j**3 + 7*j**2 + j - 2. Give 2*k(w) - u(w).\nAnswer: 2*w**3 - 5*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-43 + 5)*((4 - 5) + -19). What is the greatest common divisor of n and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19.412 + 0.088. Round s to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-40)\/(-100) - (1192\/(-10))\/2 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 6*q - 10*q. Let s be q\/(-2)*(-1 + 48\/45). Suppose 0*y**3 - 1\/3*y + 0 - 1\/2*y**2 + s*y**4 = 0. What is y?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17246?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 50790 + 0\nAnswer: 50790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 12:28 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(57) - sqrt(456)\/sqrt(8))*1)\/sqrt(3) - ((0 + sqrt(19))**2 + 5 + 4).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 142*a + 4. Let n be s(-5). Let w = 1033 + n. Suppose 0*x + 3*x = w. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 175239 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(112) + (sqrt(84)\/sqrt(2))\/sqrt(6).\nAnswer: 2 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.02 - 0.32. Which is the closest to 1? (a) -1\/3 (b) z (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 39\/4 + 2\/8. Let g = 5 + -8. Let x be g\/((-3)\/35)*2. Calculate the highest common factor of x and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 215 - 213 - (-52 - -1) - 13\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 59 - 99. Let f be (-5)\/y*-10 - -1. Let t = -13 + 12.6. Which is the smallest value? (a) f (b) -1\/3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.9398421us?\nAnswer: 0.0000009398421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 88232568 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 593 = 4*h, -149*h + 4*d - 588 = -153*h. What is the remainder when 597 is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3\/5, -5.2 in decreasing order.\nAnswer: -3\/5, -4, -5.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 0 (c) -94\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 + 16.8. Let o = d - 9. Let u = o + -7. Which is the closest to 3? (a) 0 (b) u (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 26733122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -362 - -4704\/13. Which is the nearest to 1\/2? (a) -3\/4 (b) -4 (c) 1\/3 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 4*t + 20. Determine v(-9).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - 5. Let c = 9.4 - -58.6. Let p = 68.4 - c. Put 1, r, p in descending order.\nAnswer: 1, p, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 237*x - 12197. Let l be c(8). Is l bigger than -10303?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 26 + -16 + -1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 9 - ((1 - 2) + 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.16499971 - 0.165. What is k rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + -1 + 11 + -12 + -3 + 7.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 92f30 (base 16) in base 14?\nAnswer: 1194d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 12 - (-7 - (-8 - 6)) - (-14 + -10)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/(537\/(-54) + 8 + (-1305)\/162) - -7?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -19*v + 10. Let w be p(1). Let j be (5\/1)\/(w\/(-63)). What is the nearest to 0 in j, 2\/3, -4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of 3*y**4\/20 + 3*y**3\/5 + 9*y**2\/10 + 3*y\/5 + 4. What is u in n(u) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5306*f**3 + 7 - 5369*f**3 - 1 wrt f.\nAnswer: -189*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 9:43 AM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + -1 - (-24)\/(-8))*0. Is 5\/10*(u + -1)*-2164 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4031*c - 1343*c - 1350*c - 1340*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(810\/72) + (-2)\/10 + -1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 5:29 PM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -3 - -1 - -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w - 3. Let c = 22 - 19. Suppose 2*f + l + c = 0, -2*f = -l + 3*l + 6. Determine s(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4102 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 4:00 AM?\nAnswer: 3:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of 2*t**2 - 3*t - 1. Calculate o(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1033.8 - 1033.779. Let t = -18.096 - -18. Let w = t + l. Round w to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 539 divide 224763?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*d + 1\/3*d**2 + 0.\nAnswer: d*(d - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, j: 2, z: 2, c: 3}. Give prob of sequence zc.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -549 + 1632. Is q a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.269 + -0.131. Let b = -45 - -44.7. Sort f, b, -27 in descending order.\nAnswer: b, f, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 1040222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 + p**2 - p**2)*(-43 + 36 + 30).\nAnswer: 46*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(-15)*1*(-2 + -13). Solve 2*o = x*c + 5*o - 13, -10 = -3*c - 4*o for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -307798.3 to the nearest ten thousand.\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3023 + 119\nAnswer: -2904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m = -46 + 6. Suppose 0 = 2*x - 5*o + 10, -m*x = -4*x - 3*o + 6. Suppose 3*q - 2*l - 332 = -l, x = 2*q - 4*l - 218. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 82.7805 - 83. Let m = 0.0615 - f. What is m rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 364 = -139*m + 134 - 1438 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 153058813?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 137 - 89. Is 15 < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 8*j. Suppose -8 = -2*b - j. Let n be 1\/b + (-42)\/(-24). Solve 0 = 3*h + 5*l + 37, -4*h - 4*l = -n*h + 28 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrzz when four letters picked without replacement from rzrrrrczcrmczrcrrczr.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -473 - -501. Let z be 14\/(-4)*1\/t. Which is the closest to -0.12? (a) -3 (b) 1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4190, 10032, 19754, 33344, 50790, 72080?\n\"Answer: -2*r**3 + 1952*r**2 + 2240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*p**2 - 100*p**2 - p**3 + 50*p**2.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(2) + (sqrt(2) - (-2*sqrt(98) - sqrt(98))))**2 + sqrt(2)*1 + 4 + sqrt(6)\/sqrt(12) + 4.\nAnswer: 3*sqrt(2)\/2 + 1061","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5032 is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, m: 3, x: 3, v: 4}. Give prob of picking 1 n, 2 v, and 1 m.\nAnswer: 54\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10920 to the power of 1\/2, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2\/7 (b) -1.89 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29083 is divided by 904.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*g + 415*g - 535203 + 535203.\nAnswer: 596*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -3\/4, 5, 527, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -9*z**3 - z - 2. What is b(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than 46601852?\nAnswer: 46601857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -4*h**4 + 5*h**3 + 5*h + 9. Let t(v) = 2*v**4 - 2*v**3 - 2*v - 5. Let n(a) = -2*o(a) - 5*t(a). What is the first derivative of n(p) wrt p?\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -210 - -213. Suppose 16 = 4*d - 3*p + 6*p, 3*p = d - 4. Solve -s + 3 = -0*s - d*i, -s + r = 5*i for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36571 is divided by 36073.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.523 - 0.577. What is the second biggest value in -0.12, 4, b?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1495)\/(-23)*(-34 + (98 - 63))?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -8*h**2 - 3*h - 3. Let v(x) be the third derivative of -47*x**5\/60 - 17*x**4\/24 - 17*x**3\/6 - 4*x**2 + 14. Give 34*u(y) - 6*v(y).\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -k + 10, -24 = -4*k - 3*h - h. Suppose k*b = -3*b + 55. Calculate the greatest common divisor of b and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5 - 5 + 3*j + 7 + 0. What is the smallest common multiple of 7 and v(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -4, 28, 62?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + -27. Let m(g) = 3*g + 23. Calculate the smallest common multiple of m(d) and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vmvrlszrlrll. Give prob of sequence sl.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 40*l + 8. Determine p(-2).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (465 + 1415 - 492)*(-2*x**2 + 4*x**2 + 4 - 5).\nAnswer: 2776*x**2 - 1388","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -532a (base 12) to base 14\nAnswer: -3466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*p**2 - 8*p**2 - 7*p**2)*(4*p**3 - p**3 + 2*p**3).\nAnswer: -125*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -197.28 in 3, 16, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-160)\/16)\/(-4*1\/(-4)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(1\/(3\/6))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**3 + 21*f**2 - 3947*f + 111. Calculate r(-50).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -38, -2, -1 in increasing order.\nAnswer: -38, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 292, 2255, 7656, 18235, 35732?\n\"Answer: 290*u**3 - 21*u**2 - 4*u + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 5*q + 7. Let d be r(-5). Let j = 91 - d. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -25*r - 96. Let p be f(-4). Let x be ((-28)\/(-8))\/7*6. Let y be (4 - 0) + (-5 - (-9)\/x). Solve 0 = y*t + p - 12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -39903 at least as big as -1915415\/48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2950, -2953, -2956, -2959, -2962, -2965?\nAnswer: -2968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2 + 96*b - 576.\nAnswer: -4*(b - 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 3*h**2 - 5*h - 6. Suppose 83*d - 18 = 5*o + 84*d, 2*o + 4*d = 0. What is the remainder when v(5) is divided by (50\/(-15))\/(o - (-57)\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13267 + -11224. Calculate the highest common factor of 2497 and h.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 + 128 = 6*w. Suppose 4*a + 20 = w. Suppose -a*p - p = 0. Solve 15 = 3*t - p*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12830629?\nAnswer: 7, 1832947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/429541 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s\/(s*(s**(-1\/3)*s)\/s)*s)\/s)**(30\/7))**(13\/4) assuming s is positive.\nAnswer: s**(130\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of y**4\/24 - y**3\/6 - 23*y**2. Let k(n) = 5*n + 1. Let i(q) = 3*a(q) - k(q). Determine i(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert ab7673 (base 13) to base 4.\nAnswer: 33123031010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = c - 80, 204 = -0*c + 3*c - 3*o. Let w be (c\/20)\/(4\/(-10)). Let t(g) = 2*g**3 - g**2 - 2. Let u(f) = -8*f**3 + 5*f**2 + 9. Give w*t(r) - 2*u(r).\nAnswer: -2*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -367 - -367.00001313. Round x to 6 decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -354187180 - -12155\nAnswer: -354175025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15389 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 16 = -2*y - 7, 6 = y - l. Suppose y + 3 = o. Let t = 33 - o. What are the prime factors of t?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 + 2*p**2 + 1146*p**3 - 1145*p**3 - 4*p**2 + 7*p - 2*p**2.\nAnswer: p*(p - 7)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.025, -34, -4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -232.5057 + 0.0057. Let i = m - -116. Let n = i - -117. Which is the second smallest value? (a) -0.2 (b) n (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 + -5. Let l = n - 33\/2. Determine p so that 0*p - 1\/2*p**4 + l*p**3 + 0 + 0*p**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 4*m + 6140, 2*m + 20 = 10. Is x a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.87 * -2.05.\nAnswer: -16.1335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.93031 - 0.06969. What is the third smallest value in -1476, d, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2310 and 55020?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 483.7303238 to two decimal places.\nAnswer: 483.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 77\/6 + -835\/66. Let z = -361399 - -361399.3. Let w = -3 - -3.2. Which is the closest to -0.3? (a) v (b) z (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-16)\/(t**(-6)*t)*t**0\/t**(7\/2))**(1\/74) assuming t is positive.\nAnswer: t**(-29\/148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 151418985661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -7*u - 5. Let y(l) = 28 + 20*l + 3 - 17. Determine -17*h(w) - 6*y(w).\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 69625313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - (-11 + 3 - -14)) + 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 f, and 1 z when three letters picked without replacement from {o: 1, h: 2, i: 1, z: 1, q: 1, f: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 394741590 rounded to the nearest one hundred thousand?\nAnswer: 394700000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1415, 2840, 4267, 5702, 7151, 8620, 10115, 11642?\n\"Answer: i**3 - 5*i**2 + 1433*i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 682 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1296 and 60.\nAnswer: 6480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*t + 43*t = 16. Solve t = -3*w - r, 4*r = 4*w - 6 - 10 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*m + 1585 - 1745 = 4*n, 40 = -2*m - 2*m + 4*n - 8*n for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in twenty-six fifths of a millennium?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, w: 3, u: 5}. Give prob of picking 1 n and 1 u.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-3 - (-18)\/4)*15. Let f be (4\/(-5))\/(12\/(-5430)). List the prime factors of (-2)\/10 - f\/q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -482 + 486. Solve -g*i + 0*i - 4*p = 12, -9 = 3*i - 2*p for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3\/349 + 713\/1745. What is the closest to -2 in 2, -2, d, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 7048*p + 91626. Let h be b(-13). Let 2\/5 - 4\/5*n**3 - 2\/5*n**5 + 4\/5*n**h + 6\/5*n - 6\/5*n**4 = 0. Calculate n.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7101089 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -534, 5, 1, 0, 3 in descending order.\nAnswer: 5, 3, 1, 0, -18, -534","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -10*u. Let p(w) = 841*w - 2. Give m(p(z)).\nAnswer: -8410*z + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/5 + (-2 - -3). Let n = -16154\/3 + 5386. Which is the second biggest value? (a) h (b) n (c) -5 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sr when two letters picked without replacement from {r: 1, s: 2, h: 1, o: 1, n: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**3 + 3*i**2 - i + 3. Let c(a) = -a**3 - a**2 - 1. Suppose 0 = -k - j + 7 - 0, 5*k + 3*j = 27. Give k*c(l) + w(l).\nAnswer: -l**3 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -41, -79, -117?\n\"Answer: -38*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -4*m**2 - 4*m + 4*m. Let j(k) be the third derivative of k**4\/24 + 3*k**2. Give w(j(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/124 and -53\/21334.\nAnswer: 1322708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1881945*x**2 + 76*x**3 - 15*x + 1881945*x**2.\nAnswer: 76*x**3 - 15*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 504542861.\nAnswer: 504542861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25912*q - 3487*q + 7752*q.\nAnswer: -21647*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 124*n - 10603. Determine p(83).\nAnswer: -311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/794820 and 93\/71330?\nAnswer: 5563740","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-4) - 605\/(-20). Suppose -250*s + 257*s = 133. Suppose -s*v = -7*v - 72. What is the highest common divisor of a and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 18 = -3*v - 2*v, -3 = u + 2*v. Let h(x) = x**2 + 7*x + 5. Let n be h(u). What is the highest common factor of n and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -4\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24354 = 21344*p - 21713*p for p.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 798614312 to the power of 1\/2, to the nearest integer?\nAnswer: 28260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 91 in -83.3, -2, -18\/7, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/36*(-837)\/1302*24\/(-54)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (-1 + -3 + -10 + (1 - -4) + 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -0.236 (c) 0.12 (d) -4489\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 3. Let p be l\/((-1)\/(1 + 1)). What is the second derivative of x**p + x**4 - x**2 + 2*x wrt x?\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -500*g**2 + 244*g**2 + 244*g**2.\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 225 = -1. Let v = 157 + w. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*f**5\/7 + 2046*f**4\/7 + 66795*f**3\/7 + 198990*f**2\/7 + 160932*f\/7 + 26664\/7 = 0.\nAnswer: -22, -2, -1, -2\/9, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -646*a - 1323. Is c(-47) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - l - 29 = 0, -t - 11 = 5*l + 8 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3*p**3 + 3*p - 5. Let u(q) = -q**3 + q - 2. Let d(y) = 2*t(y) - 5*u(y). Let k be d(0). Suppose 3*i - 39 = -k*i. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1946762715?\nAnswer: 3, 5, 129784181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -5*y**2 + y**2 + 3*y**2. Let a(b) = 1 - 13*b - 1 + b. Let d(n) = 4*n. Let k(v) = 6*a(v) + 17*d(v). Determine h(k(o)).\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 633969984 a multiple of 8256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/5698192 and 83\/2.\nAnswer: 5698192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b - 25b4?\nAnswer: -25c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 2:28 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -684385, -684344, -684303, -684262, -684221?\nAnswer: -684180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 102847782?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*n - 4*n - n)*(-1 - 4 + 4)*(0*n**3 - 4*n**3 + 2*n**3).\nAnswer: 2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 21846*b**2 - 43519*b**2 - 3*b**3 + 21826*b**2 in the form x*b + t + f*b**3 + g*b**2 and give g.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 86 (base 10) to base 9\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 144, 158, 194, 264, 380?\n\"Answer: 2*y**3 - y**2 + 3*y + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggmr when four letters picked without replacement from gmrmggrgg?\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wpwl when four letters picked without replacement from {p: 7, q: 5, w: 1, t: 1, l: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 5:17 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80)\/76*(-76)\/760.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/4 - (-16)\/32. Let i be 1 + (2 - 1\/1). Let t(u) = -u**2 - 2*u - 1. Let z be t(-1). Solve k + f - i = z for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 454676.\nAnswer: 2, 197, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 - 152 = w. Let d = -82 - w. What is the highest common factor of 104 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12843, 39158, 65473?\nAnswer: 91788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - 7*q + 7. Let f = 382 - 378. Let j(v) = -6*v + 30. Let m be j(f). What is x(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**3 - 4*a**3 - 11*a**3)*(4*a**2 - 3*a**2 - 3*a**2).\nAnswer: 36*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2 + ((sqrt(1300) - (1 + sqrt(1300)))*2)**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/7, -52, -0.2, -2944?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -754 + 4392?\nAnswer: 3638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 3*j - 2*j)*(1 + 2 - 1 - j).\nAnswer: -j**2 + 4*j - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -7*l**2. Let s(z) = 2237*z**2. Give s(i(u)).\nAnswer: 109613*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -10*p**2 - 6*p - 5. Let y(b) be the first derivative of 11*b**3\/3 + 5*b**2\/2 + 6*b + 2. Let f(d) = -4*v(d) - 3*y(d). Factor f(a).\nAnswer: (a + 1)*(7*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4aa640 (base 11) to base 16\nAnswer: -c4756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122*v - 182*v + 480*v + 31 - 31 - 165*v.\nAnswer: 11*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -6*p**3 + 96*p**2 - 2*p + 11. Give r(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4 - 4)*(-3*r**3 + 2*r**3 + 3*r**3) + (r**2 - 4 + 4)*(5*r - r - 2*r) to the form t*r**3 + b + p*r**2 + v*r and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 133 = 8*o. What is the least common multiple of o and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2100220 + 200022021?\nAnswer: 202200011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*l, -5*z + 0*z + 5*l = -140. What is the remainder when 128 is divided by z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 3*t - 4088, -2450 = -3*q + 2*t - t. List the prime factors of q.\nAnswer: 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/2534 and -127\/32319360.\nAnswer: 226235520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-27)\/(-12) - (-162)\/216. Suppose 0 = -3*b + 4*i + 16, -4*b + 40 = i + 3*i. Let r = -2 + 8. Solve -3*d + 4*s = -4 - b, -o*d = -2*s - r for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 52*k**2 - 53*k. Let h be t(53). Suppose h*v - 2 = 2*v - 2*y, -3*v - y + 9 = 0. Solve -d + 3 = -v*d, s + 4*d + 10 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72252 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvzeejzvzjvzzjvwevzw. Give prob of sequence ee.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -465712665*f**2 + 598270561?\nAnswer: -931425330*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00048333178 to 7 dps.\nAnswer: -0.0004833","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 6*o**3 - 2 - 4*o**3)*(1 - 2 + 3)*(-o**2 - 6*o**2 - o**2).\nAnswer: -32*o**5 + 16*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2070 - 3178. Let d be s\/(-448) - (-4)\/14. Solve 0 = 3*y - 2*p - 23, 2*y + 2*p = -2*y + d for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**4\/4 - 7324*p**3 + 513293*p**2\/2 + 7324*p - 1026585\/4 = 0. Calculate p.\nAnswer: -29331, -1, 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.38, 12, 5, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 = -3*s - s + 3*h - 237, -441*s + 2*h + 828 = -460*s for s.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5157041511175169233819\/4558305 - 1131350690920187. Let b = 36780\/743 - h. Let f = b - 2\/409. Sort f, -0.2, -5 in decreasing order.\nAnswer: f, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 224939677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, y: 3}. Give prob of picking 2 y and 1 x.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 97 - -4449a?\nAnswer: 44575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 4*x**2 + x - 3. Suppose 21 + 4 = -5*p, -2*p - 19 = 3*w. Let y be b(w). Suppose -f - 2*l - 2*l = -y, 3*f + 4*l - 58 = 0. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 x when three letters picked without replacement from {t: 6, j: 4, x: 3}?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17 and 8092?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2013?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14173327 + 41230962. Let a = t + -27057612.9999989. Let i = a + -22. What is i rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -599, -597, -595?\nAnswer: -593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 738.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 282430*z + 302599 with respect to z.\nAnswer: 282430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = 4*k - 19, -85*x + 87*x + 9 = 3*k for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -481*z**3 + 65*z. Let j(x) = 15*x**3 - 2*x. Calculate -65*j(c) - 2*n(c).\nAnswer: -13*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 1022.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4634089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 2\/121, -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + 5*k - 5. Let u be t(-6). Let n(g) = 8*g - g**2 - u + g + 0*g**2 - 3. Let h be n(8). Solve -5 = h*o + o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 11.4 (b) 36 (c) -2 (d) 2 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 125188 and 13676?\nAnswer: 1627444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w + 2. Let j be b(4). Let d(m) = -5*m**2 - 21*m + 16. Let a(c) = c**2 + 5*c - 4. Let z(i) = -9*a(i) - 2*d(i). What is the tens digit of z(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 15*x**2 - 16*x + 32. Let i be l(14). Is (-20)\/i*(-4493)\/5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*n**4 + 68939*n**3 - 21*n**2 + 31*n - 6655377 wrt n.\nAnswer: -180*n**2 + 413634*n - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4732 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*i**2 - 1 - 10*i + i**3 + 98*i**3 - 6*i + 7*i**3 + 15*i to y + w*i**2 + h*i + n*i**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, o: 2, u: 5, z: 1, j: 1, n: 2}. Give prob of picking 1 q, 1 o, and 1 u.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13040081.\nAnswer: 13040081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3*h**3 - 33*h**2 + 6*h - 45. Is g(16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 + 16019*c + 16018.\nAnswer: (c + 1)*(c + 16018)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 676277*k - 169044*k - 169075*k - 169077*k - 169081*k + 35*k**2.\nAnswer: 35*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -782 - 1650 - 2*p**3 - 2*p**2 - 617 + 46 - p to i + l*p**2 + d*p + a*p**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 3*s - 7 + 0*s)*(1 + 0 + 0).\nAnswer: 2*s - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4*f - 20. Let w be j(6). Suppose -m + 22 = 4*d, 4*m - 2*m - 4*d + w = 0. Suppose m + 3 = c - 5*l, 0 = 2*l - 6. Is c a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2434.043 centimeters in kilometers?\nAnswer: 0.02434043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 770 = -19*j - 36*j for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*n**2 - 40 + 18 + 20)*(n - n + 3*n)*(0 - 1 + 2 + 2 - 2 + 1 + (3 - 3 - 2)*(0 + 2 - 4)).\nAnswer: 270*n**3 - 36*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 92*m**2 - 677*m + 45. Determine n(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5798078449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/45, -163, 2\/5 in decreasing order.\nAnswer: 2\/5, 2\/45, -163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**2 + 1906*u + 2809908 = 0 for u.\nAnswer: -801, 1754","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -2254?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/(-3)*8)\/((-1078)\/(-693)). Sort -5, 4, -2\/7, -0.4, x in increasing order.\nAnswer: -5, x, -0.4, -2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*d + 10*d**2 + 12*d + 9*d.\nAnswer: 10*d**2 + 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -44, -24, -4\/7, 0, 2\/5?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sh when two letters picked without replacement from hpssx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.277 and 1915.\nAnswer: -8190.455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4*o - 10748 = 0, -f - o - 1800 = -4481. What are the prime factors of f?\nAnswer: 2, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2947365697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 17. Sort x, -0.5, 1, -0.1.\nAnswer: x, -0.5, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1011, -1859, -2339, -2271, -1475?\nAnswer: 229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -364*g. Let k(w) = -11*w. Calculate i(k(c)).\nAnswer: 4004*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2351*z + 96243. Determine y(-41).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-33 + 1)*3\/(24\/(-10)). Suppose 0 = -4*w + p - 4 + h, w = -3*p - 4. Solve b + w = 3*f, 8*b = 3*b + 5*f for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 983*z - 13762. What is s(14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 11:51 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-28))\/((-32)\/336). Which is the second smallest value? (a) -0.1 (b) 1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 916822503 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 10:18 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**4\/7 + 24*u**3\/7 + 32*u**2\/7 - 24*u\/7 - 36\/7.\nAnswer: 4*(u - 1)*(u + 1)*(u + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16)\/(-40) - 8\/(-5). Suppose -49 - o = -3*s. Let l be s\/5 + (-4)\/10. Calculate the greatest common divisor of 27 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -187, -799, -1817, -3241, -5071, -7307, -9949?\nAnswer: -12997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -69, -99, -177, -327, -573, -939, -1449?\n\"Answer: -4*n**3 - 2*n - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*j - 7895 - 1368 + 12*j.\nAnswer: j - 9263","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-9))\/1*(-65)\/585*561\/17?\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-6) + 35\/(-3). Calculate the smallest common multiple of (-4)\/(-24) + (-94)\/i and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.02 + 0.32. Let q = 4.5 + -4. Let m = 14 + -10. What is the closest to 1\/4 in m, o, q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5958, -11914, -17870?\n\"Answer: -5956*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30804 and 284484.\nAnswer: 1812","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-6 - -4 - 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 9*j**2 + 6*j. Suppose 4*z - 48 = 16*z. Is u(z) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 25*s - 6. Let o be n(5). Suppose 4 = 2*v, -i - 2*i - v = -o. Suppose -2*c - 2 = 0, 4*j + c - i = 4*c. Which is smaller: 8 or j?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -10. Suppose 68 - 17 = 5*y + 4*m, -u*y + 3*m + 2 = 0. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-1 - -5 - (109 + -101))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-9)*t*t**1)**(16\/5) assuming t is positive.\nAnswer: t**(-112\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 29764591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 3) + 4 + 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 - 17 - -2 - (3 - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3 - 8*k + 9*k - 1 - 6*k. Let o(m) = 30*m + 25. Let j(d) = 25*n(d) + 4*o(d). Let i(l) = -4 - l + 4. Calculate j(i(y)).\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (65\/25 - 7)*15\/(-6) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + (1 + 2 - 2). Suppose 0 = -m*g - 2*g - 20. Let q = 4 + g. Which is bigger: q or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 136*b + 6. Let r be w(3). Suppose -3*u = -u - r. Suppose 3*z - 132 = u. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -19, -58, -123, -214?\n\"Answer: -13*r**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40 + 121\/3. What is the nearest to l in 2, 2\/7, 11?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 9*w**2 + 19*w + 198. What is the tens digit of y(21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 + (-219555)\/5049 + 4\/(-22)\nAnswer: -53\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 12:48 PM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -1. Let k = r + -6.5. Let d = k - 3. Sort -0.4, -0.2, d in descending order.\nAnswer: d, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25480 is divided by 57?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 1. Let f(m) = m - 1. Let b(y) = -f(y) + 2*l(y). Let d be b(5). Let c be d\/6 - (-2)\/6. Is 0 > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 5*x - 9 = f, 7 = -f - 5*x. Let z = -5 - f. What is the least common multiple of 22 and (1 - z)\/(1\/5)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*w**3 + 19*w**2 - 19*w - 6 = 0. What is w?\nAnswer: -1\/4, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 3*x = -16. Let b = 6 + x. Let r(s) = 91 + 4*s**b - 91. Let u(q) = -2*q**2. Calculate u(r(c)).\nAnswer: -32*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26827?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 7*l**2 - 7*l. Suppose 0*d = -4*d + 24. Let n be t(d). What is the smallest common multiple of 34\/4 + n\/12 and 11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lmtbllubujbb. What is prob of picking 1 b, 1 u, and 1 l?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 - 1.3. Let p = u + -11.8. Let a = p + 8. Sort -3\/5, a, 3 in decreasing order.\nAnswer: 3, -3\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 12948*x. Let f(w) = -w**2. Determine f(h(u)).\nAnswer: -167650704*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 4*u - 39, 5*x - 2*x = 5*u + 53. Calculate the smallest common multiple of 99 and x.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (y + 2*y - 2*y)*(-6 + 3 + 2) + 285 - 285 - 50*y - y + 2 - 2 + (1 + 2 - 2)*(5*y - 5*y + y) in the form w + b*y and give b.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.48 + -0.28. Which is the fourth smallest value? (a) v (b) -6 (c) 1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 6561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-36)\/(-4))\/3 - 1. What is the greatest common divisor of j and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-2 + (sqrt(425) + (sqrt(425) + sqrt(425)*1)*1)*2)**2 - (((sqrt(425) - 1*sqrt(425))*-4 - sqrt(425) - sqrt(425)) + 5 + sqrt(425)*2 + 3)**2).\nAnswer: -720*sqrt(17) + 91440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1103 - -837. Let u = 800\/3 + w. Factor -14\/9*m**4 + 4*m**3 - u + 2\/9*m**5 - 44\/9*m**2 + 26\/9*m.\nAnswer: 2*(m - 3)*(m - 1)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**1\/(x*x**4*x)*x*x**2*x*x**(-4\/3)*x*((x\/(x\/((x*(x\/x**(-1))\/x*x*x*x)\/x*x*x))*x)\/x**(-2\/7))**(11\/3) assuming x is positive.\nAnswer: x**(533\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gjjg. What is prob of picking 2 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 12:24 PM and 7:23 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 5:13 PM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 62, 134, 234?\nAnswer: 362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**3 + 72*d**2 + 3*d - 107. Let j be p(36). Put -2, -0.09, 12, j in decreasing order.\nAnswer: 12, j, -0.09, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -9*y**2. Let f(s) = -4*s**2 + 3*s - 3. Let r(n) = 3*n**2 - 2*n + 2. Let a(g) = -2*f(g) - 3*r(g). Calculate i(a(b)).\nAnswer: -9*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, -19, 5, 4\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 15 + 6 - 621*k**2 + 620*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.22 + -4.78. What is the nearest to -2 in 0.5, -0.5, s?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-312)\/(-91) - (-10)\/(-7). Which is smaller: 3 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -95 - -220. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -4*i + 78. Give t(23).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1.4 (b) 0.05 (c) -2\/19 (d) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 458 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - n + 4)*(86*n**2 + 10*n**2 + 11*n**2) + (2*n - 2*n + n)*(2*n**2 - 4 + 4) as q*n**3 + j + v*n**2 + t*n and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-24)*(-4)\/6?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -269, -0.3.\nAnswer: -269, -0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29037, -33192, -37347, -41502, -45657, -49812?\nAnswer: -53967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11000010100000111101100 (base 2) to base 9.\nAnswer: 12884265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b + -216?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -723286182 from 0.7.\nAnswer: 723286182.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b - 5. Let c(s) = -s**2 + 3*s + 9. Calculate -3*c(m) - 5*l(m).\nAnswer: 3*m**2 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 5 + (2 + 0 - 1)*(2 + 2 - 3) - 2 - 1 - 1)*(-a + 2*a + a).\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) -5 (c) -11723\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 43 + -23 - 2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*k**2 + 5*k - 5*k.\nAnswer: 66*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 1:13 AM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6*2023960\/(-30)*(-2)\/16. Let c(j) = -3073*j**2 - 6*j - 7. Let s be c(-6). Let q = s + d. What is q rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 9*c**2 - 6*c - 6. What is f(-6)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 338422650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 7922 (base 11) to base 5\nAnswer: 313210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 33 - 1245?\nAnswer: -1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 + -12. Suppose 4*r + 15 = -5*p, 0*p + 3 = -4*p - 5*r. Let k = c - p. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31779348 divided by 6?\nAnswer: -5296558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11790 - -11785. What is the nearest to 2 in 274, -3, f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 17\/5. Let v = -39 - -40.1. Let c = v - -3.9. What is the third biggest value in o, c, 0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 246041*t**5 + 541*t**3 + 7736*t**2 - 16519*t?\nAnswer: 14762460*t**2 + 3246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1517*d + 8624 + 15376 + 3*d**3 + 1096*d + 2396*d + 180*d**2 + 1625*d.\nAnswer: 3*(d + 20)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -4*h + 5. Give p(11).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22056007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/1030939 and -35\/3146?\nAnswer: 249487238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1242)\/(-15870))\/((-6)\/(-23)).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3*-0.55\nAnswer: -1.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(4) - sqrt(64)))\/(sqrt(48)*2)*-1.\nAnswer: sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114790?\nAnswer: 2, 5, 13, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.092019 micrograms to tonnes.\nAnswer: 0.000000000003092019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23633308?\nAnswer: 2, 5908327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(242)*-1)**2.\nAnswer: 1452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -7439, 38 in increasing order.\nAnswer: -7439, 7, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.8686495 rounded to two dps?\nAnswer: 34.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -741, -740, -739, -738, -737, -736?\nAnswer: -735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, -3\/2, -6, 0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t - 6. Calculate the remainder when -3*((-14)\/(-6) + -3) is divided by n(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from owvtswd. What is prob of picking 1 w, 1 o, 1 s, and 1 d?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/100968 and 31\/353388.\nAnswer: 706776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of -2\/315*h**7 - 4\/9*h**3 + 20*h**2 - 1\/1008*h**8 + 1\/18*h**4 + 0 - 1\/360*h**6 + 1\/18*h**5 + 0*h. Factor g(j).\nAnswer: -(j - 1)**2*(j + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mrmsmmbmbbkbmbprm. Give prob of sequence mp.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 779 divide 172175359?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 210 and 604835.\nAnswer: 3629010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/1341 and -103\/426942.\nAnswer: 63614358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millennium in months?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a year?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 - 10b052?\nAnswer: -10b04b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 36?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9019260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1314 and 0.0868.\nAnswer: 0.01140552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 94 - 27. Does 30 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 290738 and 54.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -1319 and 3266 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -4. Let m be 12*1 + 1 + j. What are the prime factors of 424\/20 + (-3)\/m?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -919*b + 674*b + 19845 = 0 for b.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7716 - -29666510?\nAnswer: 29674226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x + 7. Calculate the remainder when 18 is divided by a(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 11*i**2 + 15*i - 21. Let k be a(-9). Let s(t) = -2*t - 7. Let v be s(-5). What is the tens digit of (k - 1)\/(v\/9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 27*g**2 - 149*g + 71. Let b be k(5). What is the second smallest value in 0, b, 5, -3.52?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205319435 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 161706168, 161706171, 161706174, 161706177, 161706180?\n\"Answer: 3*s + 161706165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 294 divide 21616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 303 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) - (-2 + sqrt(13))*-2 - sqrt(78)\/(sqrt(6)*-3 + sqrt(6)).\nAnswer: -4 + 7*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**3 - 5*j - 20*j**2 + j**2 + 5*j**2 - j + 12*j**2 to the form f + w*j**3 + x*j**2 + p*j and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffvlvmalavlvfaflfval. Give prob of picking 1 v, 2 l, and 1 f.\nAnswer: 50\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xpppxkx. What is prob of sequence xpp?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2256160?\nAnswer: 2, 5, 59, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 5*p + 4*n - 25, -5*p + n + 19 = 0. Let q(a) = -5*a**2 + 6*a + 1. Let j(s) = -s**3 + s - 1. Let c(m) = -j(m) + q(m). What is c(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 31360 - 0?\nAnswer: 31360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuv when three letters picked without replacement from uuuv.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o + 9. Let l be s(7). Let c(a) = -2*a - 11. Let j be c(-6). Sort j, l, 4.\nAnswer: j, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6666150 divided by 6.\nAnswer: 1111025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-2) - (15 + -17). Suppose 33*k - p*f - 2162 = 31*k, -5*k + 5405 = 5*f. What are the prime factors of k?\nAnswer: 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4452351 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 1. Suppose -i + 4*h + 24 = q, -3*h + 8*h = i - 29. Suppose -24 = -i*k + 36. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 11 + -8 + 41 + -19.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 22 + 2 = 0. What are the prime factors of (-298)\/(-3) - 4\/r?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 7) in base 13?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 388 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 183 = -543. Let n = 21 - 9. What is the greatest common divisor of n and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1853, -2130, -2407, -2684?\nAnswer: -2961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*n**2 + 19*n - 7*n**2 + 0*n**2 in the form b*n**2 + g*n + j and give g.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is ba90 + 3?\nAnswer: ba93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 134449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -284 - 1707*y**2 + 1701*y**2 - 986 - y.\nAnswer: -6*y**2 - y - 1270","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 403095 and 175.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((6639\/19917)\/(22\/(-24)*32\/6)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4766*0.74.\nAnswer: -3526.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 5*r + 2. Let l be a(-5). Let g(m) = -2*m - 4*m**2 - 4 + 3*m**2 - 3*m**l + 3. What is g(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 2*w - 44, -w - 3*w + 20 = d. Suppose j - 9*j + 4*j**4 + 35*j**3 - 35*j**3 - d*j**2 = 0. What is j?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(-2*sqrt(120) + sqrt(120)))\/(-2*sqrt(1152)))\/(sqrt(800)\/sqrt(10) - sqrt(5) - sqrt(35)\/sqrt(7)*-2).\nAnswer: -sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((410\/7)\/(-5) - -6 - -6)*-63.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10221 + 102?\nAnswer: 11100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -9) + -1 + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 6:52 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 8, t: 2, m: 5}. Give prob of sequence yyyy.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(891) + (sqrt(891) - (2*sqrt(891) + -2)))**2 + sqrt(891) + 5).\nAnswer: -27*sqrt(11) - 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + -1)\/(4 - 3). Let x = 74 - 30. Suppose -z + v + x = 0, -z - 5*v + 74 = -u*z. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - n + n**3)*(2*n + 4 - 4) - n + n - n**4 - 152*n**4 - 1161*n + 1161*n + (0*n - 2*n**2 + 0*n)*(3*n**2 + n**2 - 3*n**2) + 2*n**4 - n**4 + 0*n**4.\nAnswer: -152*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l. Let n(i) = 201*i. Give g(n(x)).\nAnswer: 402*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2, -1501, -105, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o + 2. Let y(p) = -3*p - 7. Let z(t) = -14*g(t) - 4*y(t). Let h(s) = -8*s + 6*s - 7*s. Determine h(z(r)).\nAnswer: 18*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 30*b - 5.\nAnswer: -30*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one tenth of a millisecond?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g**3 - g**3 - 25 + 25.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 49*v - 436181 - 164925 - 138696. What is the hundreds digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + d = -10*q + 20, -5*q - 4*d = -36. Let k be -1 + (q - (-7518)\/(-2502)). Is k equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68917286 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - -32695719010.\nAnswer: 32695719009.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**1\/k)\/k)\/k)\/(k\/((k\/((k**1\/k)\/k))\/k)))**(-46\/5) assuming k is positive.\nAnswer: k**(92\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.51433866 + 0.19430086. Let h = -2.32 - r. What is h rounded to 6 decimal places?\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - w - 6603 - 812 = 0, w - 3706 = -p. Does 11 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -450*j + 295 + 227*j + 224*j.\nAnswer: j + 295","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -80 - -9. Let y be 4\/40 + 3\/(360\/28). Which is bigger: a or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11884 - -11883. What is the fifth biggest value in -2\/25, 9, -0.2, t, 2\/9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - (8 + 28 + -1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2053175 divided by -8?\nAnswer: -2053175\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-1)*4\/4*-1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 760 - 483. Let o = 5828 + -5793. Calculate the remainder when l is divided by o.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from naddnnadadndadza. Give prob of picking 2 d.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12b3 + -478?\nAnswer: c39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(3\/7))**(-32\/3)*(k\/(k\/((k*k**(2\/5))\/k)))\/(k\/(k**(3\/11)*k)))**43 assuming k is positive.\nAnswer: k**(-64543\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 32 = q. Let r = q - -30. Let k = 129\/2 - r. Sort 0.4, 3\/5, k in decreasing order.\nAnswer: k, 3\/5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48\/12887903 > 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 749862753?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 54244 equal to 488183\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j + 13. Let q(w) = 2584*w + 130. Determine -20*g(c) + 2*q(c).\nAnswer: 5148*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 765 by 4367.\nAnswer: 765\/4367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -71614*q + 286451. Give p(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -173 - -184. Let n be 0\/1 + 1*-12. Let s = n - -16. Which is the third biggest value? (a) r (b) 2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 98. Let v = r + 180. Let w = v - 89.906. What is w rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21552 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from papmam. Give prob of sequence pmam.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*s = 9, 9 = 4*f - 3*s. Let u = 49\/304 - -1\/38. Are u and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 6*m**2 + 3*m + 11. Determine d(-5).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 108719107, 217438205, 326157303, 434876401, 543595499?\n\"Answer: 108719098*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.02 (b) -3105 (c) -0.1 (d) 3 (e) 1\/7 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1080)\/864*4\/10*-62.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 5*k - 5*b, -b + 8 - 14 = -3*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 35, 69 in increasing order.\nAnswer: 0, 3, 35, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -51641084.5 rounded to the nearest one hundred thousand?\nAnswer: -51600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 374*f + 1883. Let h be p(-5). Solve h*w = -11 + 24 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r**3 + 0*r**3 - 2*r**3 + (3*r**3 - r**3 + 5*r**3 + 4*r**3 - 6*r**3 + r**3 + (1 - r**2 - 1)*(-r - r + 4*r))*(-2 + 11 + 4).\nAnswer: 54*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4*j = -4, 2*i - 7 - 1 = 3*j. Let u be (2\/i)\/((-15)\/10). Let a = 1.3034 - 0.3034. What is the third smallest value in u, a, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43 + -59. Let q = 22 + c. Solve -4*v - q = l, -v = 5*l - 6*v - 20 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + ((-48)\/(-9) - 5).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 6\/333401?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -63137, -126294, -189451, -252608, -315765, -378922?\n\"Answer: -63157*n + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g - 123 = -129 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -327*c = 5783 + 1738 for c.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2899 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -6. Suppose -b = -j + 1. Put 2, -5, j in decreasing order.\nAnswer: j, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*y - 25 - 101 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 1180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 928443 to the nearest integer?\nAnswer: 964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1113125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 812*k + 484656 = 858*k. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-34584)\/1936)\/393*(-22)\/(-4)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1172)\/3516 + 26\/(-3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.35358616 + 0.0747\nAnswer: 0.42828616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -i**2 - 5401. Let p(z) = -10*z - 27. Let h(n) = 11*n + 26. Let w(y) = 5*h(y) + 6*p(y). What is w(d(o))?\nAnswer: 10*o - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - 8*m + 5. Let h(d) = d**3 + 2*d**2 + d + 4. Let n be h(-2). Suppose n*p - 3*p + 13 = 2*i, -i + 2*p = -4. What is w(i)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 14 = -u, -10*k - 33*u + 15*u + 25 = -13*k - 20*u for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of 0*g + 0 + 0*g**3 - 1\/24*g**4 + 8*g**2 - 1\/30*g**5 - 1\/40*g**6. Determine r(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from woqqiix. Give prob of sequence oq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9538, -38293, -86220, -153319?\nAnswer: -239590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 468 = r, 0 = -o - 2*r + 7*r + 84. Suppose 2*g - m = -2*g + 12, g = -3*m + 3. Suppose g*u = u + o. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-14))\/(4\/(-7)). Let d = -5 + 1. Let h = -0.2 + -0.3. Which is the closest to 3? (a) f (b) d (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 + -23. Put s, -2, -5 in decreasing order.\nAnswer: s, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(1\/7))**(2\/25)\/(t*t*t*(t\/(t*t**(1\/23)))\/t*t**12) assuming t is positive.\nAnswer: t**(-55807\/4025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5 = 2*k, 5*z + 71 = k. Is (-4 - z - -1)*47 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*k**2 + 11*k**2 + 37*k**2 + k**2 in the form p + b*k**2 + s*k and give b.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 154521\/15 + (3\/(-10))\/(99\/132) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (47*k + 59*k + 187*k)*(8*k - 5*k - 4*k)*(k + k - 1 + 0*k) in the form r*k + d*k**2 + u + s*k**3 and give d.\nAnswer: 293","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-5 - -10 - 7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = i - 3. Suppose -4*r + 2*n = -22, r + i = -2*n - 0. Suppose 0*o = 2*d + 3*o - 93, r*o = -3*d + 141. Is 17 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -9*w + 3. Let a(j) = -9*j + 2. Calculate 9*a(k) - 6*l(k).\nAnswer: -27*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200 + 459*a + 140 - 20 + 166 - 458*a - 3.\nAnswer: a + 483","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/5, -4432, 5.9, 1\/10?\nAnswer: 5.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2 + 4 - 5*n**4 + 0*n**4 wrt n.\nAnswer: -20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 4, -104, -5 in ascending order.\nAnswer: -104, -11, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 339 + 31 + 0*w**3 - 2*w**3.\nAnswer: -2*w**3 + 370","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4276775 is divided by 168?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 0 + 3\/7*k**5 + 3\/7*k + 18\/7*k**3 - 12\/7*k**2 - 12\/7*k**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 159538430 to the nearest integer?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + i + 92 = 0, f + f - 4*i = 46. What is the remainder when f is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19793558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + 77*s - 622. Calculate k(68).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does -22835 = -23906?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39 - 28. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 92 + -88. Solve m + 12 = i*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 830.725 rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 13. Suppose 0 = -s + 1 + 2. Suppose -s*y = l - 6, -l + 0*l + 3 = 2*y. Which is the nearest to 1? (a) 3 (b) d (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 766 - 383. Let o be w + 0 + (6 - 10). Let t = 280 + o. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (206\/9 - 16)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -22100 (base 15) to base 8\nAnswer: -323301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -0.7. Let x = 7.2 + -7. Let w = x + t. Is w less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*h + 36*h - 91 = 0. Let t(s) = h*s - 34*s + 22*s. Let o(d) = d**3 + d**2 - d - 5. Let r be o(0). What is t(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 10320946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 - 17. Suppose -5*u + 5*r + 2 = x, 4 = -4*u - 3*r. Let j(q) = 36*q**2 - q - 1. Is 13 a factor of j(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/36, 16, -3\/85, -1\/3, 0?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z. Let d(w) = -2*w**2 + 11*w - 17. Let f(b) = -d(b) + 6*q(b). Let a be f(9). Suppose -s = s - a. What are the prime factors of s?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4*(sqrt(170) - (sqrt(170) - (sqrt(170)*-2 - sqrt(170))))*2)\/(((2*sqrt(1210) - sqrt(1210)) + sqrt(10))*2).\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 877 = -477. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**2 + 3*i - 6. Calculate l(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 121003 - 1257003. Round g to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 15*j + 45. Let g be x(-14). What is the greatest common divisor of 31 and g?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 12*s**2 - 9*s - 1. Let p(t) = 11*t**2 - 8*t - 1. Let w(a) = -6*n(a) + 7*p(a). Let y be w(-1). Differentiate y*c - 2*c - 6*c - 2 wrt c.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00045923359 rounded to six decimal places?\nAnswer: -0.000459","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 + 0*w + 0*w)*(3*w**2 + 90*w - 15*w**2 - 50*w).\nAnswer: 12*w**4 - 40*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 155209.8408 rounded to the nearest ten?\nAnswer: 155210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 91 - 86.9. Let j = 8.1 - i. Let g = j - 3.987. What is g rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6708393 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80 divided by -29.\nAnswer: -80\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04326 to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 f when three letters picked without replacement from fvvvvsf.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 464*t - 1620*t + 570*t + 569*t.\nAnswer: -17*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 665884352?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.5? (a) -3\/4 (b) 4 (c) -2\/11 (d) -12 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x\/(x*x**(-1\/7)))\/x))\/x*x**(-25)*(x*x**(2\/37)*x)**21 assuming x is positive.\nAnswer: x**(4919\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w + 1. Let s(d) = -d - 1. Calculate -3*c(p) - s(p).\nAnswer: 4*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24409 + 24436. Which is the nearest to -1\/3? (a) -2\/9 (b) -5\/3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 363821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -2, 1.0896, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (57 + 41 - 2)*(2*a - 2*a - 2*a**2)*(-11*a + 6*a**2 + 11*a) as t*a + x + n*a**4 + r*a**2 + q*a**3 and give n.\nAnswer: -1152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f + 58*f**4 + 62*f**4 + f**2 - 122*f**4 - 11*f**3 - 5*f**2 - 4*f**2 as v*f**4 + x*f + d + j*f**2 + o*f**3 and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(187) - (sqrt(187) + (sqrt(187) - -2*sqrt(187)))) - (-2*sqrt(187) + sqrt(187))*-4)\/((sqrt(176) - (sqrt(176) - -3*sqrt(176)))*-6 - sqrt(176)).\nAnswer: sqrt(17)\/34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 750788 by 6.\nAnswer: 375394\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 30400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - 8*b - 19. Determine w(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five halves of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g, -5*g + 6 = 3*j - 4*g. Suppose 4*k + j*s - 7*s = 66, 5*s - 29 = -k. Suppose -k = 3*f - 5*h, 3*f - 2*h = -0*h - 4. Solve 2 = -4*i + f*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10511 - -10510.44. Which is bigger: 28\/13 or w?\nAnswer: 28\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jtnt when four letters picked without replacement from gtngjtgttgjntntjnt.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -3. Let j(d) = 4 + d + 256*d**2 - d - 261*d**2 + d**3. Determine j(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -25 (c) -8 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*p - 70 = 6*k, -p = -2*k - 28. Is ((-15)\/35 + 61888\/k)\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -2959\/5?\nAnswer: -2959\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52\/234*((-58)\/145)\/((-8)\/(-5)).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/16)\/a**(-35))\/((a*a**(-4\/7)\/a)\/((a\/(a**(-35)*a))\/a*a)))**28 assuming a is positive.\nAnswer: a**(7897\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 2. Let i be (-12)\/20 - 2\/5. Is i > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**4\/5 - 205112*h**3\/5 + 1845892*h**2\/5 - 4717192*h\/5 + 615282 = 0.\nAnswer: 1, 3, 5, 102547","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 9:25 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -413 + 8 = -27*y. What is the least common multiple of 111 and y?\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1337 = -116*v + 7479. Let r(b) = b**2 + 3*b. Let n be r(-4). What is the greatest common factor of n and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5\/42, -463, -30, 1, -0.1?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 + 26.7. What is the fourth smallest value in 0.2, 3, o, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104141 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 26.2. Let i = k - 15.19997382. Round i to 6 dps.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 8) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 10062.\nAnswer: 50310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/13855316 and -4\/135457.\nAnswer: 96987212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2895, 2895, 2881, 2853, 2811, 2755, 2685?\n\"Answer: -7*r**2 + 21*r + 2881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1738?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 93*f**2 - 59*f**2 + 2*f - 32*f**2 - 2 - 2*f**4 as u*f**3 + x + j*f + p*f**4 + m*f**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n**16)*n)\/n)**(-5\/8)\/(n*n**37)**(-8\/13))**(-9\/7) assuming n is positive.\nAnswer: n**(-558\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 254*j = 240*j - 10*b - 248, j + 22 = -5*b for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 7*i**2 + 21*i - 21. Let j(r) = -r**2 - r + 1. Let b(s) = -21*j(s) - x(s). Let v(q) = 20449786 + 4*q**2 - 20449786. Calculate b(v(w)).\nAnswer: 224*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 3)*(-421*y + 43*y + 161*y).\nAnswer: 434*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -201 - -12?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102 - 102 + 740*a**3 - 35*a**3.\nAnswer: 705*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - d**2 - 4*d + 1. Let g be q(7). Find the common denominator of g\/(-10) - (-2)\/(-5) and (-1)\/(-6) + (-3)\/9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -269566225 - a + 269566225.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 303 and 4.\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2619 times 14\nAnswer: -36666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 825 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -11579 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 41*i + 99. What is h(-10)?\nAnswer: -311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -116 - 3?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)*2 - (-1 + sqrt(13) + sqrt(13) + 5).\nAnswer: -4 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.4 + -2.45. Let x = z + 0.05. Let b = 1 + 0. What is the nearest to b in 4\/3, x, 5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eebbblbllebe. Give prob of sequence ell.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -9*i**3 + 1. Let y be s(1). Let q(c) = -c**2 - 8*c + 9. Let x be q(-9). Let r(p) = 2 - p - 2 + 1 + x*p. Let o(w) = 12*w - 8. Give y*r(t) - o(t).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-9)*4\/(280\/(-42)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2205)*4*3)\/((sqrt(81) + (sqrt(81) - -3*sqrt(81)*-6) + sqrt(81) + sqrt(81) + sqrt(81) + sqrt(81) + sqrt(81))\/sqrt(9)).\nAnswer: -84*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 9 + 7 - 6 + l**2. Let t(s) = s**3 + 5*s**2 + s + 5. Let m be t(-5). Calculate f(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 - 3*c**2 + 3*c**2)*(-7 + 7 - c**2) + (-8*c + 7*c + 0*c)*(953*c**2 - 953*c**2 - 94*c**3) + (-c + c + c**2)*(5*c**2 + 0*c**2 - 4*c**2).\nAnswer: 96*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = j - 2. What is the remainder when 28 is divided by 0 + (9 - 1\/j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 361*n = 527*n - 665892400. What is n rounded to the nearest ten thousand?\nAnswer: 4010000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t - 2. Let x be r(-3). Find the common denominator of (106 + 4)*x\/(-12) and -41\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -309171*o + 3710061. What is q(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 9:30 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 201592 to the nearest integer?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 3*i = 4*n + 19, -4*i = 3*n + 24 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -22*k - 9. Let h be m(-10). Suppose -5*q = -354 - h. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 518? (a) -2 (b) 3 (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 4) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3768?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*f**4 + 301489*f**3 + 91511?\nAnswer: -8*f**3 + 904467*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, d: 1, f: 3, h: 2, z: 1, i: 4}. What is prob of picking 2 z and 1 f?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (((-3)\/2)\/3)\/(-1)*180\/1305\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190*h = -188*h - 4. Let l be h + (4\/(-6))\/(2\/6). Solve 4*t - 17 + 1 = l for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(567) + 0)**2.\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t - 3. Let l(w) = -16 - w - w - 3*w. Suppose a = 3*c - 4*a + 17, 2*c = 3*a - 13. Let h(g) = -g - 12. Let r be h(c). Give r*l(n) - 11*d(n).\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-82)\/3)\/((-160)\/(-89388)). Let y = i - -15267. Calculate the common denominator of y and 101\/14 - 1 - 2.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*p**2 + p**3 + 16*p**2 - 2*p + 5*p**2 to the form q*p + l*p**2 + z + u*p**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 33*f - 23. Let m(p) = 20*p - 12. Let s(y) = 5*m(y) - 3*t(y). Let c(k) = -3*k - 19. Calculate 6*c(x) + 13*s(x).\nAnswer: -5*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28 - (25 - (-10 - -23))) + 27 + (-1 - -56).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 308\/10 - (-5 + 232\/40). Suppose f*y = 23*y + 2191. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 3*l**4 - l)*(253 - 700 + 314)*(15*l - 11 + 11).\nAnswer: -5985*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7175 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.128207108 rounded to five dps?\nAnswer: 0.12821","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a decade in months?\nAnswer: 1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2. Let a(w) = 4*w**2. Let l(y) = a(y) + 3*z(y). Let b(f) = 11*f**3 + 6*f**2 + 8. Let q(i) = b(i) - 6*l(i). What is the derivative of q(m) wrt m?\nAnswer: 33*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*r + 37. Suppose -13*s - 9 = -r*s. Let d be 0\/(5\/15*s). Solve -3 = -u - d for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 354194031.\nAnswer: 3, 17, 103, 67427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from kqoko.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do -2093787840 and -2093787840 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45760116*z**2 - 11*z + 11*z.\nAnswer: 45760116*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 4*o**3 + 10*o**2 + 16*o + 6. Let m(k) = -9*k**3 - 20*k**2 - 32*k - 11. Let c(p) = -4*m(p) - 10*q(p). Solve c(u) = 0 for u.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -306\/1453 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1071*r**2 + r - 418*r**2 - 450*r**2.\nAnswer: 203*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.2, -0.4, 3.3, -4\/9, 0.6 in descending order.\nAnswer: 3.3, 0.6, 0.2, -0.4, -4\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**4 + v**4 - v**4 + (-15*v**4 + 8*v**4 + 10*v**4)*(2 - 1 + 1) - 5*v**4 + 3*v**4 + 4*v**4.\nAnswer: 7*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 145, 873, 2741, 6319, 12177, 20885?\n\"Answer: 95*i**3 + 63*i - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-3) + 22\/3. Suppose 2*y = 6*y + r. Let n = 4 - y. Solve 3*f + 6 + n = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.32 - -0.02. Suppose 2*o = -0*o. Suppose 4*h + 4 = -o. What is the third biggest value in 1, h, f?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1350 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 216563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(1216) + 2)**2.\nAnswer: 32*sqrt(19) + 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -178 + 191 - (6 + 21 + 2)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 8*r**2 + 3*r + 5. Let p be u(8). Suppose 6*v - 29 = -p. Solve 10*w - 5*w = v for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1760484 and 480132?\nAnswer: 5281452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/31 or -2450718?\nAnswer: -2450718","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*b*o**4 - 23*b*o**3 + 264*b*o**2 - 5*o**3 - 20*o wrt o?\nAnswer: -120*b*o - 138*b - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from okkwwluwwwuolkolw. What is prob of picking 1 l and 1 k?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 68 - 64. Let z(k) = 10*k. Let j(s) = 17720 - 17720 - 9*s. Give x*z(y) + 5*j(y).\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 5:05 PM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -10*k**3 - 13*k**2 - 28*k - 78. What are the prime factors of w(-8)?\nAnswer: 2, 3, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kgm when three letters picked without replacement from {k: 1, w: 1, m: 1, a: 1, g: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0698701521 rounded to 3 decimal places?\nAnswer: -1.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 66.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -265056*b + 132548*b + 132553*b.\nAnswer: 45*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -11*v**3\/6 + v**2 + 2*v. Let j(m) = 5*m + 3. Let a(h) = -7*h - 4. Let y(l) = 3*a(l) + 4*j(l). Calculate y(r(b)).\nAnswer: 11*b - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 6*d**2 + d + 4. Let a be m(4). Let c = 32 - 4. Let r = a + c. Solve -r*y - 3*v + 29 = 0, 2*y + 0*v = -2*v + 16 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 84*t + 24. Let y be w(7). Suppose 7*v - 3*v = y. What are the prime factors of v?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**2 - 9*y - 16. Let p be w(8). Calculate the greatest common divisor of p and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 0 = -2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.056 and 24031?\nAnswer: -1345.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258*j - 4061 = 841 for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -3*i - 14, -i = -3*r + 471 - 463 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 307 + -310. Let c be 20\/5 + z + (-4)\/(-32). Factor -3\/8*j**4 + c*j**2 - 3\/4*j + 0*j**3 + 0.\nAnswer: -3*j*(j - 1)**2*(j + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110\/(-66)*(-48)\/80\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(64\/6)\/(-8). Which is the smallest value? (a) 2 (b) -56 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 - (78 - 37) - 51?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -147*-8.\nAnswer: 1176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 796146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -113, 5, 3 in increasing order.\nAnswer: -113, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.07 - -14.4518741004.\nAnswer: 15.5218741004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -350.8 - 48.2. Let g = x - -398. What is the closest to g in 4, -2\/7, 0.2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165 + 2775 = -420*u for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-66)\/24 - -2)\/((-22057)\/1104 - -20)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 184, -2, 5, -922.\nAnswer: -922, -2, 5, 8, 184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 + 1562. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4\/5 + 644*x**3\/5 - 4726*x**2 + 205768*x\/5.\nAnswer: 2*x*(x - 17)**2*(x + 356)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 3:43 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 7*p**2 + 9*p - 4. Let w be l(8). Suppose 110 = -w*a + 38. Calculate the lowest common multiple of 4\/a - (-188)\/36 and 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0139706719 to five decimal places.\nAnswer: -0.01397","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 125373726?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 3*j + 2. Let t be (-38)\/4*(-3 + -1). Suppose -2*r + 8 = -t. Calculate the remainder when r is divided by n(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -4*p + 22. Let z = 16 + -11. Let w be m(z). Solve 15*x + 6 + 18*x - 3*x**w - 36*x = 0 for x.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 8:00 AM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16910199547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -n**5*u + 24997*n**3*u + 2*n**2*u + 368*n + 6 wrt n.\nAnswer: -60*n**2*u + 149982*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1766*g + 2194 = 6497*g - 2381*g + 472754 for g.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m + 2. Let v be n(0). What is the second derivative of 10*o**v + 10*o**2 - 28*o + 35*o + 36*o wrt o?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -c**6\/1260 + c**5\/70 - 3*c**4\/28 + 2*c**3\/3 - 1. Let p(v) be the third derivative of t(v). Suppose p(r) = 0. Calculate r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = 4*j, 2*v = 104*j - 108*j + 30 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16769289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -1\/6*b**4 - 1\/3*b**3 + 0*b**2 + 0 + 3*b. Find the second derivative of d(o) wrt o.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -3*l - l - 19, -5*l - 8 = -4*q. Suppose g + 11 = 4*b - q, 4*b - 24 = -2*g. Let c = -2.3 - -0.3. What is the nearest to -2 in 1\/2, c, b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k + 35. Let y be n(0). Let j(r) = r**2 + 6*r - 2. Let g = 30 - 28. Let w be j(g). Calculate the greatest common divisor of w and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 2, 9, -7 in descending order.\nAnswer: 9, 3, 2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -90\/37, -0.04, 26.\nAnswer: -90\/37, -0.04, 1\/4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -34.34463561 and -100.2.\nAnswer: -134.54463561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 9*t - 4*t. Let p = t + 16. Suppose 3*w - 20 = -p. Calculate the least common multiple of 11 and w.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 33487 = w + 9*c, -66854 = -2*w + 4*c. What are the prime factors of w?\nAnswer: 29, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 73*b + 17. Let v(y) = 235*y + 62. Let u(j) = -156*j - 41. Let x(p) = 8*u(p) + 5*v(p). Let o(t) = -2*m(t) - 3*x(t). Does 16 divide o(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1482.6 + 407987814\nAnswer: 407989296.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-1 + -1 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 372263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 35.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -9119941.9 rounded to the nearest 100000?\nAnswer: -9100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -622 + 688. Suppose -2*o + 24 = 2*v, -4*o + 60 = 5*v + 17. Calculate the remainder when f is divided by o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2014849 to the nearest integer?\nAnswer: 1419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of 17*w**5\/60 - 379*w**2. Let x(f) be the first derivative of -f**2\/2 - 1. Calculate x(u(j)).\nAnswer: -17*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or 29784\/3397?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/48 - (-26)\/6. Let l(p) = -p**3 + 6*p**2 - 5*p - 1. Let i be l(4). Solve -w + 4*b = -i, 0 = b + n - 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/(-10) + -1 + -1. Let c be 6\/3*(1 + 0). Let z be (-48)\/21 + c\/7. Is z at least b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7310670 divided by 1218445\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**2 + 409*h - 3839. What is m(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-220) - (-168)\/(-280))\/(-4*(-49)\/(-154)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c**4 + c**4 + 3*c**4 + 102*c**2 - 12*c**4 - 102*c**2 + (-4*c**3 + 5*c**3 - 3*c**3)*(c - c - c) as w*c**3 + j + b*c**2 + i*c + p*c**4 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, -86, -2, -52, -5, -1, -3 in decreasing order.\nAnswer: 34, -1, -2, -3, -5, -52, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -116, -257, -454?\nAnswer: -707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 34240\/57389?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -24143.94 and 0.1.\nAnswer: -2414.394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 + -1)\/(9\/(-9)). Suppose -1874 = -l + 4*l + t, -m*t - 10 = 0. What is l rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 3*o + 3, 0 = -b + 5*o + 43 - 15. Calculate the remainder when -2 - (-112)\/(12\/b) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n - 15*n**2 + 10 + 0 + n**3 + 24*n**2. Is m(-4) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j + 1. Let d be f(-3). Sort d, 4, -3.\nAnswer: d, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 0 - (1 + -4)) + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-7 - (-14 - (3 + -10))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-1 - (-8 - -4))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = o - 9*k - 202271, 5*o = 2*k + 1011264. What is o rounded to the nearest one thousand?\nAnswer: 202000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13004229372 + -7.\nAnswer: -13004229379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, m: 9, x: 2, v: 1}. What is prob of picking 1 x and 1 m?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c - 8 - 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**2 + 4*y**2 - 5*y**2 + (-3*y - 11 - y - 10)*(3*y - 2*y + 0*y).\nAnswer: -7*y**2 - 21*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o\/(o**(1\/11)\/o))\/o)\/((o*o*(o**(-1\/4)*o)\/o)\/o))\/(o**(-1\/9)\/o)**(-17\/6) assuming o is positive.\nAnswer: o**(-2363\/1188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + sqrt(112)*2*-1)**2 + -5.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttkttkttkkkttt. What is prob of sequence kk?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 49*r**5\/6 + 251111*r**4\/6 - 538639*r**3\/3 - 482093*r**2\/3 + 338509*r\/6 - 25645\/6 = 0. What is r?\nAnswer: -5129, -1, 1\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = z - 2*j, 0 = -2*z - 38*j + 43*j + 2 + 10 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -0.92 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.02 + 0.025. Let o = -3.7 - -3.658. Let s = o - a. What is s rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -4. Suppose -2*n + 18 = f*c, 2*n - 12 = -2*c - 2*n. Suppose 6 = 3*v + 2*m, -4*v + 0*v - 4*m + c = 0. Solve 2*b - 13 + 3 = v for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -3, 4\/7989, 470, -4 in ascending order.\nAnswer: -4, -3, 4\/7989, 3, 4, 470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**5 - 426*i**4 - 838*i**3 + 1274*i**2 + 1680*i - 1688 = 0.\nAnswer: -211, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63415469, 63415457, 63415431, 63415385, 63415313?\nAnswer: 63415209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3)\/c)**(1\/12)*c**11*c\/(c**(-3)\/c) assuming c is positive.\nAnswer: c**(47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*t**3 - 15*t + 15*t - 4*t**3 - t**2 + t**2 + (-1 + t**2 + 1)*(3*t - 2*t + 0*t) to a*t + i*t**3 + f + d*t**2 and give i.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 4*t - 5*v = -53, -7*t - 15*t = -35*t + 2*v + 179 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three eighths of a day?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -16*j**5\/7 - 11*j**4 + 8*j**3\/3 + 16*j**2\/7 - 1238. Find d, given that l(d) = 0.\nAnswer: -4, -1\/4, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -255522 and 2281.\nAnswer: -582845682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1791423 and 251509?\nAnswer: 1543","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5324 (base 8) in base 11?\nAnswer: 20a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -36*f - 1. Let u be l(-2). Let k = -45 + u. Calculate the remainder when k is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 56722 - 31571. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 3 + 0)*(-3*r + 3*r - 2*r) + 3*r + r - 3*r)*(-1 - 2 + 5) as q + t*r and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 40894*0.1\nAnswer: 4089.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuzuzuzmuzruuuzzmu. What is prob of picking 2 m?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 57*x**3 + 7*x - 7 wrt x.\nAnswer: 342*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-96)\/56 + 2\/(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 24*t**2 + 31*t - 731. Give z(24).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48542, 47972, 46404, 43340, 38282, 30732?\nAnswer: 20192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3987 is divided by 400?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -7*i**4\/8 - 11*i**3\/6 + 34*i**2 + 40*i + 9089. Factor s(b).\nAnswer: -(b - 4)*(b + 5)*(7*b + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 436*d**2 + 72*d + 19. Is n(16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2964 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.3*-3.\nAnswer: -3.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -1.5. Let h = 299 + -297. Let m = -21.13 - -21. Which is the third biggest value? (a) h (b) n (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 12:02 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -177199782*a**3*m**2*v**2 - 334*a**3*m*v**2 - 27*a**3*v**2 + 2*a**3 - 12*a**2 wrt m.\nAnswer: -354399564*a**3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, e: 8}. Give prob of sequence eeew.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -v - 14. Let b = v - -36. Is b a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.584 + -0.416. What is the nearest to 3 in -8, 0.3, m, -4\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 94907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 10*q**3 + 13 + 5*q**2 - 9*q**3 - 5 - 5*q. Let p be w(-6). Suppose -m = p*n, -4*n - 8 = 4. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*l - 4 - 2*l + 6 - 2*l wrt l?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of 35*h**4\/8 - 5*h**3\/6 + 114*h**2. What is the first derivative of c(q) wrt q?\nAnswer: 105","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 284 - 768. Let u = -301 - w. Let y = -103 + u. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5fe445 (base 16) in base 10?\nAnswer: 6284357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.5 + 8.4. Let p = u - -0.1. Which is the nearest to 2\/7? (a) p (b) 2\/3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-6)*(7 + -10). Let p(j) = 9*j**2 + 2*j - 1. Is p(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (28 + -26)\/(5 + (-6612)\/1323). Calculate the highest common divisor of 1274 and t.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37419 * 4\nAnswer: -149676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (1 - -8) + (5 - (1 - -9)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.5 - -5. Let a = p - 0.3. Put a, -0.4, -2\/13 in descending order.\nAnswer: a, -2\/13, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -487 - -491. Let d(i) be the third derivative of 0 + 11\/24*i**6 - 1\/3*i**3 + 0*i + x*i**2 + 2\/15*i**7 - 5\/24*i**4 + 2\/5*i**5. What is j in d(j) = 0?\nAnswer: -1, -1\/4, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*s**2 + 12*s**2 - 2*s**2 + s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/9*b**2 - 70\/9*b + 8 = 0. What is b?\nAnswer: -36, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23808 and 960?\nAnswer: 119040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.27 + 0.47. What is the third smallest value in -2, 12, r?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 15) in base 8?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5281980149 rounded to 3 decimal places?\nAnswer: 0.528","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19440 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + (2 - 4 - -2). Suppose -x*r = -6*r + 3. Let y(p) = p + 11. Let j be y(-9). Solve -r = -j*c + 3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 563*t - 6. Let k be i(-5). Let n = -16981\/6 - k. Let z = -13113\/8 - -1646. Find the common denominator of n and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 - 50. Let l = 6 - 26. Let g = u - l. What is the greatest common factor of g and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16 take away -498875?\nAnswer: 498874.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -3*h + 95, 5*r = 4*h + 13 - 138. Suppose -2*c - 1 = -5. Suppose 0 = -c*s + 3 - 1, -25 = -4*x - s. What is the greatest common factor of x and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/13, -0.06.\nAnswer: -2\/13, -0.06, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -29675935.64 to the nearest 10000.\nAnswer: -29680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from ffffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, h: 1, v: 5, x: 4, i: 1}. Give prob of picking 2 v and 1 x.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4443 + -14?\nAnswer: 4424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*f = 5*y - 4898, -5*f - 15 = 0. What are the prime factors of y?\nAnswer: 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -y**8\/168 + y**7\/105 + y**6\/30 - 120*y**2. Factor r(h).\nAnswer: -2*h**3*(h - 2)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/((3\/(-8))\/1). Suppose 2*c - 4 - x = 0. Let u(z) = 3*z + z - 2*z + c. Determine u(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 6*l - 8. Let j(x) = x**2 + 6*x + 1. Let t be -1 - -2*6\/(-3). Let m be j(t). Let h(k) = k - 1. Let z(n) = m*h(n) + b(n). What is z(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4084917 * -0.3\nAnswer: -0.12254751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + j - 549, 2*r + 4*j - 436 = -2*r. Suppose 2*q = 2*b + 180, q + 0*q - r = -4*b. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -42211 + -1551?\nAnswer: -43762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 3*z, -3*f + 48*z = 50*z - 1 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -14*z + 23. Let j(g) = -g - 4 + 5 - 2. Let r(w) = d(w) - 2*j(w). List the prime factors of r(-6).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -0*w + 6. Let s(f) = 0 - 8*f - f**3 + 8 - w*f**2 - 2. Let r(i) = 3*i**3 + 18*i**2 + 23*i - 18. Let v(m) = -3*r(m) - 8*s(m). Determine v(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -y**7\/11340 - y**6\/1620 - 5*y**4\/12 + y. Let k(h) be the third derivative of u(h). Factor k(v).\nAnswer: -2*v*(v + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-22))\/(11*32\/264)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**3 + 0*y**2 + 0*y**2 + (-5*y + 0*y - 2*y)*(-62*y + 62*y + 9*y**2))*(-y + 3*y - 5*y).\nAnswer: 186*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -2) + (-5 - -14) + -9 - 20 - -8\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 178, -1, -2, -34.24 in increasing order.\nAnswer: -34.24, -2, -1, 178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 - -29. Calculate the lowest common multiple of 8 and l.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 688 + 713. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 100? (a) -3 (b) 3\/5 (c) -41 (d) -97\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6491486 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10808 + (-2 - 14 - -14)?\nAnswer: 2, 3, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 294262?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 455 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 245*f**2 - 3. Let l be z(1). Let a = 4955 + -4933. Calculate the greatest common factor of l and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**4 + 8*q**4 - q**4)*(1 + 3 - 2 + (4 - 22 - 11)*(0 + 2 + 0) + 3 - 1 - 3).\nAnswer: -171*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 20*f**2 - 19*f - 29. Let q be n(21). What is the units digit of 94 + 1 - (8 + (5 - q))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2041*x + 281662. What is f(-138)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.103 - -6.003. What is b rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -44.1 or 0.1?\nAnswer: -44.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.11 and -1809283.\nAnswer: 199021.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5712582 is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1602393 + 139239. Suppose 19*f = 514232 - t. Round f to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**2 + i**2 - 3*i**2 + (i - 2 + 2)*(2 - 2*i - 2) + (-2 - 1 - 1)*(i - 6*i - 3*i)*(-3*i + 3*i + i).\nAnswer: 31*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 6) to base 10\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/8)\/((-4)\/80). Let i be (-15)\/(-60) + (-14)\/(-8) + -121. Let c = 105 + i. Which is greater: a or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -5\/166 (c) 0 (d) 3 (e) 4 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 15*o**2 + 29*o + 75. Calculate the smallest common multiple of 10772 and s(-13).\nAnswer: 96948","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62245679 is divided by 2345.\nAnswer: 2344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.4, -0.3, -1583\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (165\/3)\/((-1316)\/220 - -6). Suppose 0 = -7*i - w + 11824. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -42913150*w**3 + 8295184?\nAnswer: -128739450*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 3 + 60*w - 3*w**2 + w**3 - 3*w**3 - 3 + w**2 to r*w + c*w**2 + t + s*w**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5673876 and 1899635.\nAnswer: 7573511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = f - 4*g, 3*g = 5*f - 0*g - 109. Suppose 18 = t + 2*t. Calculate the smallest common multiple of f and t.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3235467+-2956\nAnswer: 3232511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = 24 - 87. What is the remainder when 206\/(-2 + r + -3) is divided by 32?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011021577 rounded to three decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -2040d1?\nAnswer: 2040d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(4)\/(sqrt(4)\/sqrt(2)).\nAnswer: sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*l + l**2 + 9*l**2 - 12*l**2 + (-2 + 4 - 1)*(-5*l**2 - 3*l**2 + 4*l**2).\nAnswer: -6*l**2 - 5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 - 4*u**2 + 28 - 25*u**2 + 52 - 131.\nAnswer: -29*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 311551879 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*w + 4 + (-1 + 2 - 2)*(-9*w + w + 0*w) + 2*w - 2*w + w)*(2*w - 1 + 1).\nAnswer: 14*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -38 (b) 18 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 4*y + 114 = 0. Is y greater than or equal to 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7303274.\nAnswer: 2, 11, 331967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 3*b + 205 = -154, 2*l = -b + 187. Let r be (464\/(-5) - 1) + 1. Let m = l + r. Are -1 and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(8288\/(-21)))\/(-6*(-9)\/72)\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -808*p + 24829 + 14780 = -1837*p - 3372*p for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*j + 111*j + 416 = 0. List the prime factors of j.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 - 3)*(3 + 1 - 7)*(26*x**2 + 0*x**2 + 11*x**2) to c + r*x**2 + o*x and give r.\nAnswer: 444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3400005 = -5*o + 3*u, -3*o = -u - 2040005. Round o to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-587664)\/99216*6\/(-21)\nAnswer: 22\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 10*a**2 - 10*a - 16. Let k be g(10). Let i = -121 - k. Which is smaller: -4 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/65)\/r*r)\/r*r**(-5\/3)*r assuming r is positive.\nAnswer: r**(-319\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11204707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 + 0)*(-415*d - 3476 + 3476)*(3*d**3 - d**3 - 3*d**3).\nAnswer: 1245*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 a when three letters picked without replacement from yfphhuap.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9796081.9 - -2.91?\nAnswer: 9796084.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 2*l**2 + 3*l + 8. Let y(o) be the first derivative of -o**4\/2 + 2*o**3\/3 + 2*o**2 + 9*o - 1511. Determine 4*s(a) - 3*y(a).\nAnswer: 2*a**3 + 2*a**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61, -202, -435, -754, -1153?\nAnswer: -1626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - ((-5 - (6 - 16)) + -6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2*o = -78, 62 = 3*u + 4*o + o. Let v be (0 + -10)\/(4 + -3). Let n = u + v. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1979807369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**3 - 13*f**2 - 102*f - 36. What are the prime factors of a(16)?\nAnswer: 2, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -376 + 385. Let t(o) be the second derivative of -1\/12*o**4 + o**2 + 0 + p*o + 0*o**3. What is the first derivative of t(g) wrt g?\nAnswer: -2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -34 + -30 + -7 - -4.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.609287 rounded to three dps?\nAnswer: -0.609","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**5 + 35*g**4 - 30*g**3.\nAnswer: -5*g**3*(g - 6)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**2. Let m(u) = -1147698*u + 1147698*u - 1359*u**2. What is s(m(x))?\nAnswer: 3693762*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 39993, 39945, 39865, 39753, 39609, 39433?\n\"Answer: -16*f**2 + 40009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 175*a**2 - 154*a**2 - 4.\nAnswer: 21*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.12 in 5, -14, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 301544?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.81 less than -94988?\nAnswer: -94988.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/131 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/4, 20\/37, 5, -1\/2, 130?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 11:02 AM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 37674067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (14 + -17 - -18) + -20. Let i(b) = -19*b - 8. Let k(g) = -10*g - 4. Calculate h*k(m) + 3*i(m).\nAnswer: -7*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*l = -91, 0 = -339910*y + 339905*y + l - 3 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 1584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 a factor of 107150664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 57757225573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 91 and 962?\nAnswer: 6734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 215762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14 + 481?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of i**4\/4 - i**3\/2 - 3*i**2 - 3*i. List the prime factors of d(4).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 7*r + 4. Let v be z(7). Let g = 0.8 - 3.8. Let j = g + 4. Which is the biggest value? (a) -3 (b) j (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**4\/7 + 108*c**3\/7 - 780*c**2\/7 + 676*c\/7.\nAnswer: -4*c*(c - 13)**2*(c - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 9*s - 2*q = -9380, -q - 4698 = 2*s. Is s less than -2347?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 + 23 + 27 + 48)*(2 + s - 2).\nAnswer: 73*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l - 10. Let d be i(0). Let x = 12 + d. Factor 0 + 1\/4*r**3 - 1\/4*r**x + 0*r.\nAnswer: r**2*(r - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -65607 or -65606?\nAnswer: -65607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35243 + 14?\nAnswer: 35301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 4 - 347*o**2 - 2 + 4*o + 350*o**2. Is u(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65231037715 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 3, 0 = -5*h + 3*f + 89 + 77. Let x be (-3 - (-92)\/20)\/(36\/45). Differentiate -10*q**2 - 2 + q**x + h wrt q.\nAnswer: -18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3050310675.5 - -15.\nAnswer: -3050310660.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**3*d)\/d*d*d)\/d**(3\/2)*(d\/d**0)**(1\/6) assuming d is positive.\nAnswer: d**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 45 - 5. Let v = h - 2. Suppose -4*b + v = -0. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + 0 - -2) + -10. Let x be (-5)\/a - (-2)\/12. Factor 4\/3 + 2*j + x*j**2.\nAnswer: 2*(j + 1)*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3060)\/(-170)*(-1)\/8. Which is the nearest to t? (a) 0.1 (b) -2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 23473 = 4*l - 77561, 0 = 2*n - 2*l - 27040. List the prime factors of n.\nAnswer: 3, 4507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 736679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 251549 + 1?\nAnswer: 251550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9, -4, 21, 78, 179?\n\"Answer: 2*g**3 - 2*g**2 - 3*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/10)\/(20\/50). Suppose -2*z + 5*z + 5*x + 3582 = 0, -g*z - x = 3570. Let h = -7003\/6 - z. Calculate the common denominator of -71\/18 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 859.8809 tonnes to micrograms.\nAnswer: 859880900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 4*q + 48, -3*a + 5 = 4*q - 31. Suppose -a*i = 3*i - 6735. List the prime factors of i.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 324\/1085 + -2\/155. Let z = 71197\/9 - 7911. Sort i, -0.5, z in descending order.\nAnswer: i, z, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2016 and 1056?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 25 - 265*n**2 + 5.\nAnswer: -265*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q = -3*p - 11*q + 7, p - 4*q = -15 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.739191 - -0.04?\nAnswer: -4.699191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.01, 3\/2, -595, -0.6?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*q - q - 42 + 30.\nAnswer: -8*q - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -16*u - 14*u + 31*u + 96. What are the prime factors of z(0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-33)\/35 + 1)\/(7\/35). Let -p - 2\/7*b**2 - 4\/7*b = 0. What is b?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 190752 * -1.1.\nAnswer: -209827.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5ab3 (base 12) to base 15.\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5620965674?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 - 11*f + 10. Let y be b(8). What is the remainder when (y\/(-3))\/(13\/39) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 p when two letters picked without replacement from {h: 1, q: 9, p: 4}.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100 (base 2) in base 3?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 133, 267, 401?\nAnswer: 535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1446248473 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 4) to base 9.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -22 (b) -7 (c) 5 (d) -0.2 (e) 5.75 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5107 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6574066196.\nAnswer: 2, 19, 86500871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12012011220222 (base 3) to base 9.\nAnswer: 5164828","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 185332.5 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0739 + 6.3261. Let h = 9 - 6.6. Let x = h - t. Which is the smallest value? (a) x (b) 0.09 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -324 + 324.1. Sort -0.3, -8\/3, x.\nAnswer: -8\/3, -0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*o + 46*o - 80. Calculate the greatest common divisor of o and 320.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.08? (a) -4 (b) -1\/11 (c) 8 (d) 5 (e) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-3)*45\/(-10). Suppose s = 5*f - 13, f - 5*s + 2*s = -y. Suppose 3*x - 67 = a, x - f = -5*a - 2. What is the remainder when 39 is divided by x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21152 to the power of 1\/2, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a millennium in months?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -85205 * 0.247\nAnswer: -21045.635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -16 + -89dab6?\nAnswer: -89dacc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 39187637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33*(-71)\/131208)\/(5\/(-8)).\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 o when three letters picked without replacement from {o: 2, c: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -3*u + 2*v - 28, 3*u = 5*v - 4. Let y be (-4)\/18*24\/u. Let z = 0.2 + -1.2. Which is the third biggest value? (a) y (b) -5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -0.1, -6 in descending order.\nAnswer: 4, 3, -0.1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1500 (base 6) in base 12?\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 128171*p - 64090*p - 64083*p + 300*p**2 + 1 to the form x*p**2 + o + b*p and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*a - 184*a + 82*a.\nAnswer: -26*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (12\/14)\/(2\/70)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*b + j - 6*j = 424*b - 241*b - 105, -85 = 5*b + 3*j for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - 0. Let u = n - -17\/6. Is u greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 10*r**3 - 4*r**2 - 24*r - 15. Let p(f) = -13*f**3 + 5*f**2 + 30*f + 17. Let g(s) = -5*c(s) - 4*p(s). Determine g(-3).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 34*b**2 - 41*b**2 - 29*b**2 - 61*b**2 + (b - 1 + 1)*(3*b + b - 3*b).\nAnswer: -96*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 5*m - 4*f, 0 = f - 1. Suppose 0 = m*h + l + 2*l - 21, -2*h + 9 = 3*l. Find the common denominator of ((-2)\/h)\/(30\/261) and -65\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 172451, 1379780, 4656809, 11038388, 21559367?\n\"Answer: 172475*s**3 + 4*s - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - 1688296.42.\nAnswer: -1688296.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2142229 to the power of 1\/2, to the nearest integer?\nAnswer: 1464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -f**5\/20 + f**3\/2 - 9*f**2\/2 + 8*f. Let u(q) be the first derivative of x(q). Find h, given that u(h) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -4 (b) 6\/11 (c) -0.35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*y = 56*y + 16. Is -4 at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -5 - 1 - k + 10 + 4*k**2. Let a be d(-4). Calculate the common denominator of -5 - (1 - 3) - (-740)\/a and -59\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7304, 25363, 55462, 97601, 151780?\nAnswer: 217999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - 3 - 5\/(-1). Suppose 0*r - 4*u + 15 = r, -2*r + p*u = 0. Solve 3*x = 5*w + 3 + 26, -r = -5*x - 3*w for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 560*f**4 - f**2 + 2*f + 15. Let o(y) = 2801*y**4 - 4*y**2 + 11*y + 73. Let t(a) = -11*b(a) + 2*o(a). Find the third derivative of t(p) wrt p.\nAnswer: -13392*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 14*w - 50 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u + 1. Let v be y(-6). Let a(i) = 1215*i - 8 + i**2 - 1223*i - 4. What is the units digit of a(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1148704, -2297415, -3446126?\nAnswer: -4594837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -11*y + 50. Calculate c(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/15 of a minute?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -r + 4. Find the third derivative of -2*x**5 + 2*x**r + 0*x**5 - x**2 wrt x.\nAnswer: -120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.27 - 2.57. Let j = 3.3 + l. Which is smaller: 0.01 or j?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*b**3*z**2 - 106*b**3 + 67472*b**2*z**2 - 17768*b**2*z - z**2 wrt z?\nAnswer: 14*b**3 + 134944*b**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2636, 6420, 10206, 13994?\nAnswer: 17784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 10:58 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 764360 and 10670?\nAnswer: 8407960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3 + 12)\/(-54))\/(2\/87) + 7. Sort 0.04, 623, p in descending order.\nAnswer: 623, 0.04, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 169, 0, 1356, 3, 30 in descending order.\nAnswer: 1356, 169, 30, 4, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(91) + sqrt(91))*-1)\/sqrt(7).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**4\/d*d)**(-4\/7))**(-26) assuming d is positive.\nAnswer: d**(416\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84305 and 195?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 22289939?\nAnswer: -22289937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (17 + -16)\/((-1)\/(-4)). Solve 5*r - c*r - 6 = 5*j, 5*j = -2*r - 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(-2)\/(-3)*3. Solve -2*h + o*h + 3*m + 18 = 0, 3*m + 15 = -3*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1836 a factor of 363608784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 + (3102\/94 - (6 - -11))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f**(-5\/6))\/f)\/f**(-1)*(f*f**(3\/5)*f)**39)**23)**(-25) assuming f is positive.\nAnswer: f**(-350405\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - u + 10 = 0, 10*c - 4*u = 8*c. Suppose -2*o + c*s = o - 210, -4*o + 4*s + 280 = 0. Calculate the highest common divisor of 20 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -45*q + 19*q + 5*q**2 + 8*q**2 - 14*q**2 + 112. What is the remainder when t(-26) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 - 28. What is the tens digit of (-96)\/w + 16\/20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5376 - -5375.97437. Round x to 3 dps.\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 10*f + 17. Determine c(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rc when two letters picked without replacement from rrllcnrrnnrlrnnnr?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*l**3 - 6*l**2.\nAnswer: 3*l**2*(3*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 3871*n**2 + 3871*n**2 - 37*n**3 + n in the form f*n**3 + t*n + r + v*n**2 and give f.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.572302 centimeters?\nAnswer: 5723020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4219549620 to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -2 (b) 5 (c) -4 (d) -0.2 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + v**2 + 0)*(2255*v**2 - 1007*v**2 + 0*v + 0*v) in the form t*v + d*v**3 + g + i*v**4 + x*v**2 and give i.\nAnswer: 1248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-6))\/((-2)\/3). Let v be (6*i\/20)\/(12\/10). Let a = 206.5 - 206. What is the second biggest value in -0.4, a, 3\/2, v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of -q**4\/24 + 2*q**3 - q**2. Let w(g) = g**2 + 6*g - 9. Let v be w(-8). What are the prime factors of t(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - 9\/1)\/(-2). Suppose 0 = -4*l + 9 + 75. Solve -4*s + s - l = -n*t, -5*s = 20 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8885990126 to the nearest integer?\nAnswer: 94266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a century in months?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 319, -2, -1\/5 in increasing order.\nAnswer: -2, -1\/5, 2\/13, 319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v + 7382 = f, 0 = 12*f - 8*f - v - 29590. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 384562 = 50*i + 9*i. Does 13 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 646122?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14 + 19 - 15*p - 7)*(p**2 + 4*p**2 - p**2 + (-4*p - 2*p + 5*p)*(2*p - p + 0*p))*(14*p - 649 + 649) to o*p**2 + n*p + x*p**3 + m + s*p**4 and give x.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 18.3848 and -118433.044?\nAnswer: 118451.4288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l\/(l**(-1\/22)\/l*l*l*l)))*l)\/(l**(2\/15)*l))\/(l*(l\/(l\/((((l\/l**(-18))\/l)\/l)\/l)))\/l*l*l)**27 assuming l is positive.\nAnswer: l**(-160739\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4298)\/(-8) - 5*(-75)\/500 is divided by 145.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 41 + 200570?\nAnswer: 200631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 0 = 4*o + 8, 5*t + 30 = -3*o. Let l(b) be the third derivative of b**4\/12 + b**3\/2 + 2*b**2. Give l(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5397.940057 - -5398.94. Let d = l + -1. What is d rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -58, 3, -11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(11 - 21)\/10. Which is the nearest to 578? (a) 0.1 (b) 4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/(-17))\/(1\/(-5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -61 + 90 - 147*k + 33. Is q(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 719 - 1122*w**3 + 406 + 3*w**4 - 1128*w**2 + 1707*w - 585*w.\nAnswer: 3*(w - 375)*(w - 1)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 1:29 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 2 = 0, -7 = 2*z + 2*i - 1 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2)*(6 - 8 + 0)*(67*r + 7430 - 7430).\nAnswer: -134*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3467261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8867849 and 2050.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 19 + -1*(1 + -2). Let h be (5\/w)\/(2\/(-4)). Which is the nearest to -0.2? (a) 1\/3 (b) h (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 7:16 PM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14\/(-4) - (-2)\/(-4). Let y(q) be the first derivative of q**4\/4 + 4*q**3\/3 - q**2 + 4*q + 81. What is the units digit of y(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 12*r**2 - 10*r + 12. Let g be s(-11). Let a be (2 + 2 - g) + 2. Solve a*t - 2 + 0 = -2*b, 2*t = -b for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(4\/5)\/k)*k**(3\/5))**11 assuming k is positive.\nAnswer: k**(99\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 3. Let v = -2.9 - k. Let a = -0.4 - v. What is the third smallest value in a, 5, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, i: 3, l: 6}. What is prob of picking 1 l and 1 i?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.233 - -8534.\nAnswer: 8534.233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*z - 17*z - 4*z - 8*z + 0*z.\nAnswer: -75*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 15*x**2 + 32*x + 25. Let v(a) = 161*a + 339. Let z be v(-2). Give y(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 10:17 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 times 0.47181?\nAnswer: 5.18991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 1701215084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2997\/54)\/(3\/(-10)*(-650)\/390)\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 742, -5, -2, -90.\nAnswer: -90, -5, -2, 742","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 8*d**2 + 3*d + 3. Suppose -4*o - 5*a - 15 = 12, -3*o + 2*a = 3. Let c be p(o). Suppose -3*i - c = -6*i. Does 8 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 10:50 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.30553477 to 4 dps.\nAnswer: 0.3055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-51 + 59)\/((-8)\/(-5)). Let i be 6*(0 - -2)*13\/52. Solve -318\/5*n**i - 24\/5*n - 48*n**4 + 0 - 10*n**p - 152\/5*n**2 = 0.\nAnswer: -3, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4.1327 and 1.\nAnswer: -3.1327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + m = -5*x - 38, -3*x = 2*m + 22. Let k = -4 - x. Suppose 2*d - 8 + k = 4*u, u - 1 = 0. Solve -37 = 3*s + 5*l, 3*s - 3*l - d = -1 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 16*r**2 - 13*r + 27. Let q be u(-15). Let a be (207\/(-21))\/((-20)\/14). Let d = 7\/2 - a. Is q at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 3*a - 104587, -36*a + 35*a = -3*n + 78437. List the prime factors of n.\nAnswer: 2, 17, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, -2\/11, -588, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 3045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -4, 1, 2, 3, 28354 in descending order.\nAnswer: 28354, 5, 3, 2, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 61480 = -4*v, -v + 3*a + 11334 = -4054. Is 23 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -237.963\nAnswer: -232.963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*k**2\/5 + 155519252*k\/5 - 10367950.\nAnswer: -2*(k - 25919875)*(3*k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**6\/(s\/(s**(1\/2)\/s*s*s))*(s**(-2\/11))**(-8) assuming s is positive.\nAnswer: s**(175\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 10:12 AM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 908, 905, 900, 893, 884?\n\"Answer: -d**2 + 909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5\/7, 4, 0.036?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 518472, 518471, 518470?\n\"Answer: -z + 518473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210 = 1138*n - 1103*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + q + 1. Let g(p) = -44*p**2 - 28*p - 32. Let n(d) = g(d) + 24*u(d). Let t(b) be the first derivative of n(b). Is 19 a factor of t(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44 and 2561284.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 333, 756, 1177, 1596, 2013?\n\"Answer: -t**2 + 426*t - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 1\/2199 (c) 0.0178\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 23 = 3. Suppose -3*t + 9 = s, -3*t = -2*s - 8*t + 19. What is the smallest common multiple of n and s?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11311 + 11295 - 76*y**3 + 199*y**3)*(-2 + 2 + 2)*(4*y + 3*y - 5*y).\nAnswer: 492*y**4 - 64*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13365965 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(704) - -6*sqrt(704)*2) + 3 + 2 + sqrt(704) + sqrt(704))**2 + 1.\nAnswer: 1680*sqrt(11) + 158450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322809 is divided by 273.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -2, 4, 29 in increasing order.\nAnswer: -14, -2, 4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -2*n - 5*c - 1, -3*n + 16 = 5*c. Let h(x) = 13*x**2 + 2*x + 6. Let t be h(n). Let j = t + -101. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1348?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(-2\/7)\/s))**(-25)\/(s**(-3)*s\/((s*(s*s**(-6\/5)*s)\/s)\/s))*((s\/s**(-1))**29)**14 assuming s is positive.\nAnswer: s**(26483\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (-14)\/1 + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 35373 + -2?\nAnswer: 35371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 3 - 1. Let n = -828.8 - -925. Let u = n - 96. Which is the nearest to f? (a) 2\/3 (b) 3\/8 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -9, -0.9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2285 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -141 or 392.5?\nAnswer: 392.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -132210 or -131920?\nAnswer: -132210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 388 = 4*x - 450, -33 = 3*g - x for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 172 and 17372?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*z - 21*z - 5*z)*(0 - 2*z + 0).\nAnswer: 66*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, g: 2, t: 6, o: 1}. Give prob of sequence mmog.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 71448699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/3 (b) -18 (c) 2\/7 (d) -198 (e) 5 (f) -2\/7 (g) -2\/17\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b - 475 + 477 - 2*b + 11*b**2 as g*b + p*b**2 + n and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 2*w - 10. Let m = -44 + 55. Suppose w*k - m = 104. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11122 is divided by 2751.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/9 (b) 0 (c) -4 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 7 - (64\/(-22))\/1\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 2*g**6 + 0*g**4 + 8\/3*g**3 + 0*g - 62 + 2\/5*g**5 - 5\/2*g**2. What is the third derivative of r(s) wrt s?\nAnswer: 720*s**2 + 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 100 and 1080.\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 14) to base 7.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18740 to the power of 1\/2, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15019860 divided by -6.\nAnswer: 2503310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 9:39 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.4 + 8.3. Let j = v + 0.1. Let s = 6 - j. What is the third biggest value in s, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**31)\/r*r\/(r**(-10)\/r))**(-28))**20 assuming r is positive.\nAnswer: r**(-24080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/26445 and -181\/3690.\nAnswer: 158670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/5 + 12416564*s\/5 - 38542765391524\/5.\nAnswer: -(s - 6208282)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 32 - 13 = -31. Which is the second biggest value? (a) h (b) -3 (c) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 at most 1\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/3 + 22370\/114. Let c = -476 - -673. Let q = h - c. Which is smaller: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 4*y + 121645, -3*y - 729708 = -53*i + 47*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12989*n + 25056*n + 2*n**2 - 12691*n)*(-n**2 + 4*n**2 - n**2).\nAnswer: 4*n**4 - 1248*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i = 84 - 70 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/9 - 604*p**2\/9 + 60556*p\/9 - 1321376\/9.\nAnswer: -(p - 56)*(p - 34)*(p + 694)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5447*z + 162*z - 437502 = 0 for z.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 222\/(-296)*(4\/6)\/((-37)\/(-2)).\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**4 + k**4 - 3*k**4)*(-5*k + k + 5*k) + 2*k**4 - 2*k**4 + 2*k**5 + k - k + 2*k**5 + (-5*k**5 + 4*k**5 + 2*k**5)*(7 + 3 + 14).\nAnswer: 27*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 11:31 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1826696673.\nAnswer: 3, 202966297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 65740 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -407 minus 56?\nAnswer: -463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -1104.41, 5, 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -7*g**4\/2 + 2*g**3\/3 - g**2\/2 - g - 36. Let y be r(-1). Which is smaller: 14 or y?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 151191?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3577 - 3575. Let p(h) = 2 - 2*h - h - 2*h. What is p(l)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -142716420*z**5 - 134335317*z?\nAnswer: -2854328400*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (8 - (5 - -5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*z - 29 = -3*z, 0 = l + 2*z - 3. Let o(k) = 10*k**2 - 26*k - 11. Let f(u) = 2*u**2 - 5*u - 2. Give l*f(g) - 2*o(g).\nAnswer: 2*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a + 3. Let f be m(0). Suppose v - 1 = -f*j, -14 + 4 = 5*v. What is the least common multiple of 10 and j - (5 + -2)\/(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -859, -3.729, 0.2.\nAnswer: -859, -3.729, 0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -6*n**2. Let g(y) = 98*y + 15. What is g(p(h))?\nAnswer: -588*h**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.9568786 micrograms?\nAnswer: 956.8786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.5, -9, 4, -2\/37, 3 in decreasing order.\nAnswer: 4, 3, -2\/37, -1.5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-18))\/((-15)\/30).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10033410505 - -2?\nAnswer: 10033410510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -319.6 - -209. Let w = 111 + t. What is the fourth smallest value in -2\/5, w, 3, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6509 + 5425 = 455*n + 9836 for n.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 6*j + 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**5*f)**(19\/2)\/(f**3)**(-49))**(-7) assuming f is positive.\nAnswer: f**(-1428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s - 13526 = -17*s + x, -x + 54124 = 4*s. Suppose 8*y = -s + 71794. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 35*l**2 - 45*l + 136. What is the units digit of t(18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -4*y - 96746, -5*v - y + 96764 = -2*y. List the prime factors of v.\nAnswer: 2, 9677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five eighths of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.6, 0.1, 0.23, 0.2, -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 348212 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i + 10. Calculate p(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, l: 2, v: 1, y: 2, h: 1, t: 4}. Give prob of sequence ylvy.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.664125 + -0.6642. Round t to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 198 and 4086?\nAnswer: 44946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 1, -8, -19, -32, -47, -64?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 1688 = 5*z, -5*z - 955 = -3*y + 753. Let i = 41 - y. Let h = i + 17327\/33. Which is greater: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8.6 + 9. Let s = -459 + 458.6. What is the nearest to 0.41 in s, 1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i - 2*i - 2 - 3*i + 1 + 40*i**2. Is a(-1) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*c*l*p**5 + 236*c*l*p**3 - 2*c*l - 2*c*p - 8*l*p + l wrt p.\nAnswer: 80*c*l*p**3 + 1416*c*l*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 800 and 38000?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3536*j**3 - 9*j**2 + 7*j - 7. Let k be r(-25). Let w = -111155807 - k. What is w rounded to the nearest 1000000?\nAnswer: -56000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 2064045?\nAnswer: -4\/2064045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 250823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28740 is divided by 654?\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -44, -2\/5, -1\/6, 1 in ascending order.\nAnswer: -44, -1, -2\/5, -1\/6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -8.02. Let u = -3100 + 3099.8. What is the closest to 0.2 in -0.3, u, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -99 - -148. Let t = 69 - m. Calculate the lowest common multiple of 4 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51602 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 z when three letters picked without replacement from {i: 1, l: 2, q: 3, z: 4, u: 6}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 268 divide 10773064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 31326 - -3?\nAnswer: 31332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2415 is divided by 773.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 4*c - 197, 4*c - v - 278 = -63. Suppose -c*t + 1542 = -50*t. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bw when two letters picked without replacement from kawpb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 1. Let k(t) = -3*t**2 + t - 2. Let m be 6*((-4)\/(-3) + -1). Suppose -3*q + 11 = 2. Suppose -3 = -0*y + q*y. Give m*u(v) + y*k(v).\nAnswer: v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + 4*b. Let c be a(-3). Let d be (154\/c)\/((-12)\/18). What is the highest common divisor of 11 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -4*d**2 - d - 9. Let q(t) = t**2. Let l(b) = m(b) + 5*q(b). Let z = -21 + 36. Suppose 9*s = z*s. Give l(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10*(3\/1)\/6. Suppose -20*i = 6*i + 52. Sort 4, 1, i, g in decreasing order.\nAnswer: g, 4, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1597, 5902, 13121, 23254, 36301?\n\"Answer: 1457*z**2 - 66*z + 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 47, 5, 2, 12, -16 in decreasing order.\nAnswer: 47, 12, 5, 4, 2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - s**2 + s - 1. Let r(t) be the first derivative of -t**3 + 3*t**2\/2 - t + 722. Determine 3*p(a) - r(a).\nAnswer: 3*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005738946 to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventeen halves of a centimeter?\nAnswer: 85000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/2 + 241*h**2\/2 + 11065*h\/2 + 49175\/2.\nAnswer: -(h - 281)*(h + 5)*(h + 35)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0\/(-2))\/(0 - -1). Let b be m - 0 - (-32 - -6). Calculate the highest common divisor of b and 208.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 3*d - 3, m - 5*m - d + 1 = 0. Solve 0*j - 4*z - 22 = 2*j, 4*j + 2*z + 20 = m for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**2 + 28*r**3 - 25 + 25 + r + 0*r**2 to h + p*r + y*r**3 + d*r**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 6*v. Let z be g(3). Let p = z - 64. Let f = p + 82. Calculate the greatest common divisor of 9 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -97*v - 7485 + 7970 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 204770278?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -205 (base 7) in base 13?\nAnswer: -7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - 2*t + 3. Let l be z(2). Let j = -2 - l. Suppose -2*c = 3*w - 299, -j*w + 6*c + 287 = 5*c. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463.26 - 0.096?\nAnswer: 463.164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 10:57 PM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2 = 0, -19*i + z + 3 = -17*i. Let v(q) = q**2 + 1. Let j(a) = -7*a**2 - 9*a - 8. Let w(s) = i*j(s) + 6*v(s). Give w(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 133365 + -64029.\nAnswer: 69336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 4*a + 395*p - 394*p, 3*a - 15 = 5*p for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 4*w - 206. Determine c(-16).\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1437992 and 6470964?\nAnswer: 12941928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of 0*x**4 - 10*x**2 + 0*x + 0*x**3 - 1\/480*x**6 - 1\/120*x**5 + 0. Solve s(t) = 0 for t.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/21 and 17\/27141459.\nAnswer: 189990213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3*(sqrt(1900)*1 + -4) - ((-6*(sqrt(1900) + -2 + sqrt(1900)) + sqrt(1900))**2 + 1)) + -5.\nAnswer: -16020*sqrt(19) + 1380337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - -1) + (-60 + 139 - 69) + 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*f + 28*f - 15*f + 178547.\nAnswer: -f + 178547","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ubbu when four letters picked without replacement from aaabuuaaaaubuua?\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3\/7 (b) 1.3 (c) 5\/13 (d) -0.4 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 127303377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*2779\/(-4764)*130\/(-7).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16.2 - -11. Let j = r - -46.2. Let d = j - 40.99994. What is d rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1)\/c**(4\/7))\/(c**(1\/3))**(1\/29)*(c**(1\/2)\/(c**1\/c))\/(c**(4\/5)*c\/(((c\/c**(-1\/8))\/c)\/c)) assuming c is positive.\nAnswer: c**(-91543\/24360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1491*y + 1483*y - 72 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170*j - 190*j + 1440 = 0. Calculate the least common multiple of j and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o - 4*o, -84 = -3*u + 2*o. Let q be (-19)\/(-4) - 1\/(-4). Suppose q*d - 6*d = -u. Calculate the remainder when 53 is divided by d.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-33) - (-2)\/(-3)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4577521.88*0.2.\nAnswer: 915504.376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 14*j**2 + 22 - 34.\nAnswer: 14*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2*x + m = -13, -3*x + 4*m = -26. Suppose -8 - 3 = v + 2*z, -5*z = -x*v + 23. Is v smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 27*s**2 + 27*s - 23. Let i be m(-28). Let f = -0.04 - 4.96. Sort -0.2, f, i, -1 in decreasing order.\nAnswer: i, -0.2, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -168 - -172. Solve 5*m + r - 20 = -0*r, m - 4*r - k = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t**2 + t - 4. Let b(l) = -13*l**2 + 4*l - 16. Let w(d) = 2*b(d) - 9*h(d). Is w(-3) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-30))\/((-6)\/(-45))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 483\/20635?\nAnswer: 483\/20635","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 s when two letters picked without replacement from {s: 2, n: 5, z: 1, b: 6, q: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255970 is divided by 85316?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5742 + -4022. Calculate the remainder when h\/30 + (-1)\/3 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, 1\/4, -0.1, -1463, -2, -4 in decreasing order.\nAnswer: 5\/3, 1\/4, -0.1, -2, -4, -1463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1464)\/72 + 21)\/((-1)\/(-3)). Which is the closest to 2\/7? (a) 11 (b) d (c) -2\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -732101 (base 9) to base 12.\nAnswer: -18b59a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1150 (base 8) in base 9?\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of c**5\/60 - c**4\/24 - c**3 - 2*c**2. Let l be w(7). Let r = l + -11. Does 13 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aofa when four letters picked without replacement from {o: 4, a: 3, f: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116751 is divided by 1535?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/20 and (-137)\/(-8)*(-12)\/9.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1761*f*j*p - 16574*f*p + 24897043*j*p wrt f.\nAnswer: -1761*j*p - 16574*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 441 = 3*o + 3*r, -4*o + 429 + 147 = r. Let x = 47 - o. Calculate the common denominator of ((-9)\/x)\/((-9)\/(-174)) and 39\/14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 996 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + 159*c + 6294. Calculate s(-83).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -20550455 (base 6) in base 14?\nAnswer: -11a8b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2554*b - 2*b**2 + 1269*b + b**2 + 1285*b + 3*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*l + 0 = -5, 0 = -5*n + l - 9. Let z = -1310 - -2037. Let w = -726 + z. Which is the biggest value? (a) w (b) 0.4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**2 + 0*f**2 - f**2)*(-f + 2*f + 2*f) - 2*f**2 - 755 - 4*f**3 + 755.\nAnswer: 5*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48 + -335\/7. Which is the closest to -1\/5? (a) 3 (b) g (c) 2\/7 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*(a*a**(-8)\/a*a)\/a*a)\/a**(5\/4))**37)**(2\/31) assuming a is positive.\nAnswer: a**(-1073\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-21)\/l**(-16\/7) assuming l is positive.\nAnswer: l**(-131\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.029846 decades in months?\nAnswer: 603.58152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -642115948 bigger than -642115948?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4 - 31*q**4 - 115*q**4 - 231*q - 6 + 234*q wrt q?\nAnswer: -1752*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000001010000110011011101 - -10?\nAnswer: -101000001010000110011011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14482\/1001 - (8\/(-14))\/(-2). Which is greater: 13 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 306364 and 0.0297?\nAnswer: 306363.9703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 416 divided by -4\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a week in minutes?\nAnswer: 54432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k**5 - 2*k**3 + 120*k.\nAnswer: 40*k**3 - 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 + -0.4. Let z be (3\/(-21))\/(64\/112). What is the nearest to z in -5\/2, -3\/2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5613226*v + 184 - 184 + 5613224*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5202256 divided by -541\nAnswer: -9616","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 q when three letters picked without replacement from {q: 1, d: 14, w: 1}.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2*6.712404\nAnswer: 13.424808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 78624.\nAnswer: -1\/78624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.184 - 0.184. What is the nearest to s in 1, -1.4, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/5916 and -39\/36091?\nAnswer: 12559668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1.51 * 5441\nAnswer: 8215.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*g**4 - 2*g**4 - 2*g**4 - 3*g**4 + 0*g**4 + 4*g**4 + (1 - 1 - 2)*(3*g**4 - 2*g + 2*g).\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61 - x**2 + x**2 - 4*x**2.\nAnswer: -4*x**2 + 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 425399829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 117 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -1, -4, -2 in decreasing order.\nAnswer: -1, -2, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -8\/41, -2\/9, -2\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 17.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -10435 and 341 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4120*y**2 + 218 - 2064*y**2 - 2054*y**2)*(-3*y + 19*y + y).\nAnswer: 34*y**3 + 3706*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 508993, 1017992, 1526991, 2035990?\n\"Answer: 508999*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3343733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/3*6\/(-4). Let i be 6\/10 - (-19)\/(-15). Let x = -2 - -1. What is the closest to i in h, -4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/12*(-53820)\/14950.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - (-3 + -2 - -4). Let i(l) be the third derivative of 3*l**5\/20 - 5*l**4\/24 - 243*l**2. Let f(z) = -9*z**2 + 4*z. Determine k*i(q) + 5*f(q).\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20.23 + 10.7917153.\nAnswer: 31.0217153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4462004 to the nearest integer?\nAnswer: 2112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7566 = -4*b + 3*m, 5*m = -2*b + 842 + 2928. Suppose -1134 = -3*w + 2*y, 6*y = -5*w + 3*y + b. List the prime factors of w.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/3850 and 82\/75?\nAnswer: 11550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -125570 to the nearest 1000.\nAnswer: -126000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -5*w - 3. Suppose -5*q - 9 = -2*q. Give g(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7204902?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-5)\/(v**6*v))\/(v**1\/v**(-1\/3)) assuming v is positive.\nAnswer: v**(-40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 119 - 118. Let k = -12 - -17. Suppose -5*m - k = -u, f - 6 = -4*u + 5*m. Solve -v - 2*v - 15 = u for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-46)\/(-4))\/((-4)\/8). Suppose -56*m - 44 = -52*m. Let n = m - t. What is the least common multiple of n and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 5*p - 145, -4*u + 164 = p - 35. Calculate the highest common divisor of u and 175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (192\/140 - 4\/7)\/(-2). Let y = 4 + -3. Which is the nearest to y? (a) -3 (b) -10 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -2, 5, 0 in ascending order.\nAnswer: -2, 0, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.05 + 2.05. Let x = -31\/50 + 239\/950. Let h = x - -2\/57. Which is the closest to h? (a) u (b) -1\/3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 - 612*a**2 + 26710*a - 74676.\nAnswer: 2*(a - 254)*(a - 49)*(a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 8*v - 5. Let m be s(6). Let t(w) = w**2 - 3*w - 7. Let g be t(m). What is the greatest common factor of 168 and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiiiiiiiiiiijiiiii. Give prob of picking 1 j and 3 i.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 36*(-34)\/(-459)*(-3)\/2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3*3.4\nAnswer: -10.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -b - 9. Let c = -31 + b. Solve 0*a = -4*a - c for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (192\/(-15))\/((-15013)\/(-1365) + -11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 199436 and 36646.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**3 + 2*v**3 - 3*v**3)*(7*v**2 - 3*v**2 + 0*v**2) + (-3*v**4 - v**4 + 2*v**4)*(3*v - 6*v + 4*v) + (v**4 - 2*v**2 + 2*v**2)*(3*v + 3*v - 5*v).\nAnswer: -13*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.776074 + -6.766. What is u rounded to 3 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wst when three letters picked without replacement from sttttseesewst?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -72\/23 <= 12734?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13960.2? (a) 0.1 (b) 5 (c) -19\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 3:57 PM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f - 894350 = -894386 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + 3 + sqrt(13) + 5 + -6*-2*sqrt(13) + 5)**2.\nAnswer: 364*sqrt(13) + 2717","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 298 - 164. Suppose 0 = -6*w + g + 28. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 486149 take away 27690307?\nAnswer: -27204158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -716 = -4*k + 5*i, 0 = k + 3*i - 42 - 137. Let t = 523 + -453. Suppose -177*z = -182*z + t. What is the remainder when k is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 108 and 0.135888.\nAnswer: 108.135888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 + (-10 - -12 - 7) - -4) + 21?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13\/848 + -3275\/7632. Which is the closest to -0.1? (a) 4 (b) 2\/7 (c) -27\/7 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(-1\/9)\/x)*x*x)\/x)\/(x**(-4\/13)*x*x) assuming x is positive.\nAnswer: x**(166\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 43\/4 and 1\/7073 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, t: 2, r: 1, g: 3, p: 6, m: 6}. Give prob of sequence pp.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) - sqrt(396)*3)\/sqrt(12))\/(sqrt(750)\/sqrt(10)).\nAnswer: -2*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3428, 3232, 2912, 2474, 1924, 1268, 512, -338?\n\"Answer: s**3 - 68*s**2 + s + 3494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o - 2*o + 3*o to the form d*o + i and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -6*n + 65. What is the remainder when x(0) is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a meter in millimeters?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g. Let l(h) = -3*h + 2. Let m(r) = -r + 1. Let w(x) = l(x) - 2*m(x). Suppose 0 = -2*q - 3*q - 30. Let n be (9\/q*2)\/(-1). What is n*w(f) - 2*u(f)?\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-81 - 7*q + 81)*(-2*q - q + 0*q)*(-2*q + 5*q - 4*q) as f + m*q**3 + b*q + n*q**2 and give m.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 411 a factor of 50219174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 76a188 (base 11) in base 6?\nAnswer: 42200322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 5:13 AM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -603328002*w**3 - 33915*w**2 + 594.\nAnswer: -3619968012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**2 + 8*h + 33 = 0.\nAnswer: -3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2*w = 4*v - 18, 2*w = -2*v + 2. Find the common denominator of (15\/(-25))\/((-9)\/(-6)) and ((-63)\/10 - w) + -2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -j - z - 27, -3*z + 165 = -3*j. Let h = 202 - 103. Let k = h + j. What is the highest common factor of k and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 35*a**2 - 110*a + 2519. Calculate w(34).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 2*z - 4, s - 3 = -2*z + 1. Let u(c) = 3 - 2*c**z + 6 + c**2. What is the units digit of u(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -9. Suppose -3*v - 41 = -5*j - 2*v, 4*v = 3*j - 28. Let n be (-1)\/(-1)*(-15)\/(780\/j). Which is the biggest value? (a) m (b) 1 (c) -0.5 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/5311760 and 16\/44595.\nAnswer: 47805840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 9:34 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vj when two letters picked without replacement from {m: 4, j: 2, v: 3}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of -2*i**6\/15 - i**5 - 2*i**4\/3 + 16*i**3\/3 + 137*i. Suppose l(j) = 0. Calculate j.\nAnswer: -4, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -4*d**3 - 24*d**2 - 32*d - 205. Determine r(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence itit when four letters picked without replacement from ititittitittiittii?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1751677, -5, 8 in decreasing order.\nAnswer: 1751677, 8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 16760 (base 11) to base 9\nAnswer: 35255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2605*g**4 + 2*g**3 - 26*g**2 - 952164?\nAnswer: 10420*g**3 + 6*g**2 - 52*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 9:03 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h + 576 = -22*h for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/((f\/(f\/f**7))\/f*f*f))\/((f*f\/f**(2\/3))\/f))**0*(f**(1\/2)\/((f*f**4)\/f))\/((f*f\/(f\/((f\/f**0)\/f))*f)\/f)**(-31\/5) assuming f is positive.\nAnswer: f**(27\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2620 = -5*m + 5*b, -8*m - 4*b = -7*m - 524. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126311?\nAnswer: 126311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -8. Let k = 1 - w. Let p = -30 + 56. Solve 4*s = k - p for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y + 5921 = 88*y + 115*y for y.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147826 is divided by 381.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -n**3*x**3 + 222*n**3 + 2*n**2*x**3 + n + 1316212*x**3 + 475*x**2 + 1 wrt x?\nAnswer: -6*n**3 + 12*n**2 + 7897272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30322202030 - 223?\nAnswer: 30322201201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/17)\/g)**(-47)*g**(-1)*g\/(g**(-19)\/g)*g)**3 assuming g is positive.\nAnswer: g**(3750\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1568*o + 44205 = 537*o for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-20) - (-4554)\/1380. Let k = -9.24 + 9. Let i = 500\/2871 - -2\/261. What is the third smallest value in i, w, k?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13005 and 8670?\nAnswer: 26010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -618 + 1?\nAnswer: -617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -3 - 16*u**2 + 0 + 3 + 17*u**2. Let k(c) = 2240*c. Give r(k(o)).\nAnswer: 5017600*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-9) - 164\/(-6). Let u be 1 + -22 - 2 - -2. Let i = f + u. Solve -2*l - 5*w + i = 0, -3*w - 12 = -5*l + 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 6*a + 100. Let d = 16 + a. Let w(m) = -3*m + 3. Calculate the remainder when w(d) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-357)\/(-189) - (-2)\/18. Find the second derivative of -36*w + a*w**3 + 39*w - 18*w + 6*w**4 wrt w.\nAnswer: 72*w**2 + 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -283*k**2 + 187*k**2 - 111*k**2 - 83*k**2.\nAnswer: -290*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -554*q + 5 = -547*q + 5 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 40688269 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 10:07 PM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3 - -3.3. Let g = -1 - -3. Which is the closest to g? (a) 4 (b) 4\/3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i = -11*d + 15*i - 165, -68*i = -71*i for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dxg when three letters picked without replacement from {x: 3, f: 1, o: 1, d: 1, g: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -239722 > -239725?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (-114 - -115) - (2 + -1 + -4)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -451663 and -2613.\nAnswer: -454276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*y - 1118 = -27*y. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 9*d - 16. Let k be a(-6). Let i be k*(6 + -4)\/4. Solve q - i = -0*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of 2*d**6\/15 - 74*d**5\/5 + 137*d**4\/3 + 1000*d**3\/3 + 576*d**2 - d - 1213. Suppose f(a) = 0. Calculate a.\nAnswer: -1, 4, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -892*o**2*u**3 + 83*o**2 + o*u**2 + 7*u wrt u.\nAnswer: -5352*o**2*u + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7219 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 4*s**2 - 5*s + 5. Let f be n(5). Find the second derivative of g**2 - f*g**2 + 4*g - g wrt g.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of -5*q**4\/12 - 6504*q**2. Let c(h) = -1284*h. Give o(c(s)).\nAnswer: 12840*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 1970 + 2920. Let z be -4 + n\/(-42) - (-6)\/(-21). Calculate the highest common divisor of z and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -825, -975, -1225, -1575?\n\"Answer: -50*x**2 - 775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(684)*-2*-4 - sqrt(684) - sqrt(684) - sqrt(684)) + 2*sqrt(684)*1)**2 - -2*sqrt(684)*1*3).\nAnswer: 36*sqrt(19) + 33515","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (7 + -1 + -24) - (3 - (4 + -9))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/10 (b) 0.4 (c) 2 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/4065204 and -137\/294.\nAnswer: 199194996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.143 - 1.423. Let q = 124.8836 + -124.6. Let g = v + q. Round g to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.42+-0.3272\nAnswer: 0.0928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16176, -16536, -17136, -17976, -19056, -20376, -21936?\nAnswer: -23736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -7*d**2 + 105360. Let f(q) = 18*q. Determine f(g(w)).\nAnswer: -126*w**2 + 1896480","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5819*o**2 + 1940*o**2 + 1942*o**2 + 1937*o**2 - 85*o**3.\nAnswer: -85*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -13806, -27942, -42078, -56214?\n\"Answer: -14136*m + 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -12.545657 - -0.023\nAnswer: -12.522657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 218 divide 1169352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 11\/3. Let o = 0.14 - 0.04. Let r = 0.1 + o. Which is the third biggest value? (a) h (b) r (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 3 + 13. Suppose 5*c = -2*n + 5, -c + n = -j - 6. Suppose -3*b + f - 5 = -c*f, 0 = 4*b - 2*f. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 4*l = -37, -3*l = -8*c + 9*c - 4 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1078, -1303, -1528?\nAnswer: -1753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 11, j: 1, y: 1, e: 1, f: 2, x: 1}. What is prob of sequence egj?\nAnswer: 11\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3527*y - 3595*y = -418 + 10 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.819 + 0.019. Let u = z + 0.8. Let j(q) = 6*q + 38. Let g be j(-7). What is the third smallest value in u, g, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -11a?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - -1)\/(1 + (-156)\/158). Let h = n + -81. Let g be h\/3 + (-6 - -7). What is the nearest to -0.1 in -1\/11, -1\/6, g?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 364230733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iuuiuuvivvvu. What is prob of sequence uiii?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 927396 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1289, 4932, 11003, 19502, 30429?\n\"Answer: 1214*m**2 + m + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y - 3*y - 4*y - 14*y as v + c*y and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, q: 2, o: 1}. Give prob of picking 1 q and 1 o.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -135 + 105*g - 55*g - 53*g to j + n*g and give j.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0499971ng in micrograms?\nAnswer: 0.0000499971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*p + 19 - 19 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2180, -4347, -6512, -8675, -10836?\nAnswer: -12995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3764410522 take away -5751?\nAnswer: -3764404771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 5*h - 3. Let t be c(-2). Suppose 5 = -t*p + 17. Suppose 7*f - p*f = 0. Solve f = -i + 2*k - 10, -5*i - 2*k - 5 = -3*k for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((10626\/(-70))\/11)\/(138\/(-230)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -0*d + 15. Let u be 14\/2 - (d - -6). Let r(f) = -f**2 + 4*f + 7. List the prime factors of r(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -240000 to the nearest 10000.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 5 + 9*k - 6.\nAnswer: 9*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -347.535 - -345. Round u to one dp.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -968*j**3 - j**2 - 2*j - 2. Let c be n(-1). Suppose 0 = 3*a - 4*p - 170 - c, -379 = -a - 3*p. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of 0*z**3 + 0*z**5 + 1\/10*z**6 + z**4 + 0*z - 16*z**2 + 0. Find the second derivative of k(h) wrt h.\nAnswer: 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1484634.8000027 - 1484635. Let x = -0.2 + 0. Let v = x - s. What is v rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1711 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 86 = -5*z + 2*z, -4*z + t + 108 = 0. Calculate the remainder when 51 is divided by z.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 244568 divided by -152\nAnswer: -1609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 225*q**4 - 13235*q**3 - 2360*q**2 = 0?\nAnswer: -8\/45, 0, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8964)\/(-560) - ((-6)\/(-15) + 0). Let t = 67\/4 - c. Factor 0*g - 2\/7*g**4 - 6\/7*g**2 + 0 - t*g**3.\nAnswer: -2*g**2*(g + 1)*(g + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - c - 1. Let r be x(-2). Suppose r*g = k + 29, 3*k - 13 + 5 = -4*g. Let d = 10 + 3. Solve -3*a + d = 2*o, -3*a + 0*o = g*o - 19 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 + 3 - 20) + (2 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 240 = 1480. Solve -i + 152 = -4*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -50 in decreasing order.\nAnswer: -2, -5, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3070993476?\nAnswer: 2, 3, 101, 157, 16139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13.5 + 14. Let r = 1201.6 + -1202. Which is the closest to -0.04? (a) y (b) 2\/33 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 2 + 1 + -2. Let m be ((-8)\/696)\/(2\/6). Which is smaller: g or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 2*p = 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**3 - 13*o - 12 = 0.\nAnswer: -3, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*l**4 - 219*l**3 + 790 with respect to l.\nAnswer: 8*l**3 - 657*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 2640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3376.473099 rounded to 1 decimal place?\nAnswer: -3376.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 614953701 divided by -3.\nAnswer: -204984567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 4) + 5 - (-1 + -3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -119, -1\/5, -0.4.\nAnswer: -119, -1, -0.4, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/378 and 53\/271740.\nAnswer: 2445660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -33*n**2 + 5\/12*n**5 - 5\/4*n**4 - 1\/42*n**7 + 0 + 1\/12*n**6 + 0*n + 0*n**3. Solve u(c) = 0 for c.\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 4*s + 15*s + 12 + 7*s - 3*s**2 + 1. Let p be r(9). Suppose -3*j = 2*y - 1177, 2*j + p*y - 622 = 176. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -7 + 1\/9*c**3 + 0*c + 1\/3*c**2. Factor d(q).\nAnswer: q*(q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7312288*q**4 + q**3 - 62910717*q**2 wrt q?\nAnswer: 175494912*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4684177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105905 and 295?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6862643 or -6862644?\nAnswer: -6862643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/51 and 83\/78204.\nAnswer: 1329468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 240671 and 772.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 5)*(-11 - 3*a + 11)*(2 - 3 + 2)*(13 - 7 - 3)*(6*a + a - 3*a).\nAnswer: -108*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 37476853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*b**2*x**2 - 2*b**2 + 389*b*x**3 - 16*b + 390 wrt x?\nAnswer: -4*b**2*x + 1167*b*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-3)*-4*28\/28.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 g when four letters picked without replacement from {g: 4, l: 2, y: 5}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u**(1\/4)\/u)\/u*u*u*u*(((u\/u**(1\/10))\/u)\/u*u*u)\/u*u)**(11\/3)\/((u**(-2\/3)*u*u**(1\/4))\/(u**(2\/7))**(-3\/25)) assuming u is positive.\nAnswer: u**(11479\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(4\/5))\/k)\/k)**15*k**(-29)*k\/k**(-24\/11) assuming k is positive.\nAnswer: k**(-317\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen quarters of a millennium?\nAnswer: 39000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1238 is divided by 329?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-4*((4 + (sqrt(1700) - (sqrt(1700) - (sqrt(1700) + 0))))*-2 - 5*sqrt(1700)*1*2)*2)**2.\nAnswer: 491520*sqrt(17) + 62685184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of 20*u**2 - 3*u**3 - 41 - u**3 + 5*u**3. What is the second derivative of o(c) wrt c?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ghjtehg. What is prob of sequence eg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3158, 25390, 85870, 203768, 398254, 688498, 1093670?\n\"Answer: 3195*b**3 - 46*b**2 + 5*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198*m - 14934 = -4*m - 23418 for m.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/6 - (-8)\/6. Let o be d\/(-2) - 30\/12. Let v(y) = y**2 - 4*y - 4. Let q(p) = -p**2 + 3*p + 4. Let n(s) = o*v(s) - 4*q(s). Give n(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -175, -169, -165, -169, -187, -225, -289, -385?\nAnswer: -519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*((a**(-2\/11)\/a)\/a)\/a)\/a**1)**39*((a**(1\/4))**42)**15 assuming a is positive.\nAnswer: a**(735\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.042 + 0.008. Let j = a + -0.25. What is the closest to -1\/3 in 5, 4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 50\/14 - (-42)\/98. Suppose c*l = 5*p + 82, -2*p + 75 = 3*l + p. Is 14 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(18) - sqrt(90)\/sqrt(5))\/sqrt(9) - (sqrt(2) - sqrt(6)\/sqrt(3)*-2)) + (sqrt(14) - -6*sqrt(14)*2)\/(sqrt(700)*1))**2.\nAnswer: 289\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1, 2, -2\/15, 6\/5, -19.27, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 978, 35103, 91978, 171603, 273978, 399103, 546978?\nAnswer: 717603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 - -52. Let x = 42 - c. Calculate the greatest common divisor of 33 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 519890327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.81 + 3.81. Put m, -2, 0.2 in ascending order.\nAnswer: -2, 0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + 0. Let j be -2*(3 - n)\/(-1). Let r be (j - (-2 - 0))\/3. Is r greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/(-100))\/(144\/480). Which is smaller: b or 2\/2577?\nAnswer: 2\/2577","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3220.\nAnswer: 2, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1374007 + -599660. Let o = d - 1430351. Let u be o\/8 + (-2)\/(-4). Round u to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53 + -45. Suppose 3*a - 276 = -3*f, 5*f - q*a - 442 = -4*a. What is the highest common factor of f and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36*h**2*q**2 + 5*h**2*q - 101*h**2 + 102983*h*q - 2*q**2 wrt h.\nAnswer: 72*q**2 + 10*q - 202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -149522.659 rounded to the nearest ten?\nAnswer: -149520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-160)\/(-120)*(-10)\/((-40)\/(-51)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -196960\/19 + 10368. Which is the closest to -1? (a) -1\/3 (b) f (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + (2 - 1))\/2. Let j = y - -2. Suppose -11 - 11 = -j*d. List the prime factors of d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five eighths of a microgram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4070*(102\/595)\/((-1)\/(-14)) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 21 = 4*d, 7*d = 2*f + 12*d - 5. Solve -f = 3*i + 4 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 5*x + 3 - 17, -u - 4*x = 14. Let a be (4\/u)\/((-20)\/90). Solve -2 = a*v + 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000636087262 rounded to 7 decimal places?\nAnswer: 0.0000636","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/((((c*c**(-2))\/c)\/c*c*c)\/c))\/c)\/c)**(-7))**(4\/17) assuming c is positive.\nAnswer: c**(-28\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 657991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 671548662 and 8046?\nAnswer: 2682","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - 0.9. Let l = k - -4. What is the nearest to -2 in 3, -3, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 936696097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 73 = -45. List the prime factors of w.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5352 + 175*g - 2063 - 3289.\nAnswer: 175*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2092.2 rounded to the nearest one hundred?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 + -39. Let k = -4605 + -3103. Let i be (8 + k)*l\/(-2). Round i to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(1\/3)*o)\/o)**(-17))**(-40)*((o\/((o*o**5)\/o)*o)\/(o\/(o\/(o*o**(-2)\/o*o))))**(-40) assuming o is positive.\nAnswer: o**(2960\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of g**6\/120 + g**5\/60 + g**4\/24 - g**3\/6 - g**2. Let n be -3 + ((-19)\/(-7) - (-8)\/28). Give q(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 7. Differentiate 6*j**4 + o + 14*j**3 - 14*j**3 with respect to j.\nAnswer: 24*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-188)\/235*(-5)\/2. Suppose x - 2*z + 3 = 0, -50*x - 2 = -48*x - y*z. Let t(g) = -g**2 + 1. Let k(h) = 7*h**2 - h - 4. Give x*k(w) + 4*t(w).\nAnswer: 3*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.761324 to 2 dps.\nAnswer: -0.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**4\/6 - 685*o**3\/6 - 28643*o**2\/6 - 86569*o\/2 + 106575 = 0. Calculate o.\nAnswer: -21, 2, 725","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2 = -y, 0*u + 3*u - 8 = 4*y. Let k = -6 + 6. Is u greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**5 - 12*l**4 + 9*l**3 + 102*l**2 + 156*l + 72 = 0. What is l?\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-256 - 4\/(-1)) + -1. Let p be 366 + ((-16)\/104 - 2\/(-13)). Let o = d + p. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(2*g - 2*g - 2*g**3) - g - 4*g + 12*g**3 - 9*g**3.\nAnswer: 7*g**3 - 5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-4656)\/(-6208))\/(3\/(-28))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 11*x**2 - 2*x - 2. Let s be c(2). Let u be (-56)\/16*s*-1. Calculate the highest common divisor of u and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, p: 1, r: 2, n: 3, o: 3, l: 1}. Give prob of picking 1 r, 1 o, and 1 n.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2886437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -5*n**7\/42 + n**5\/4 + 3*n + 6. Let u(g) be the first derivative of d(g). Factor u(b).\nAnswer: -5*b**3*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26093875 to the power of 1\/2, to the nearest integer?\nAnswer: 5108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18359 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 384 and 33984?\nAnswer: 67968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 4*w = -8, 26*t = 27*t - 2*w + 14 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/63*-54*11\/(-396).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/11 - 50488*j**2\/11 - 50486*j\/11.\nAnswer: -2*j*(j + 1)*(j + 25243)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-42)\/35)\/((-3)\/80). Let o = t + -3. Let r = o - 8. Does 7 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l + 2*l - 4*l + (4 - 4 - 1)*(l + 0*l - 3*l) + 0*l + 5*l - 4*l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*w**2 + 2*w**4 + 3 + 2*w - 2*w**3 + 35*w**2 - 5 to s + p*w + t*w**3 + d*w**4 + c*w**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.35, 3\/2, 4, 141, 0?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 15 = 5*t, 5057*t = 3*q + 5053*t - 9 - 3 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 71*t**2.\nAnswer: 71*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1 - 3)\/(((-5)\/790)\/1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 50145, 50273, 50479, 50763, 51125, 51565, 52083?\n\"Answer: 39*u**2 + 11*u + 50095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -39 * -0.3\nAnswer: 11.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i**2 + 3*i**2 + 3 - 2*i**2 as l*i**2 + o*i + d and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, g: 3, o: 1}. Give prob of sequence yg.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -3*s + 9, s = 21*g - 20*g + 7 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gl when two letters picked without replacement from llnglgnnnnnnnlt?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -7222, -3 in decreasing order.\nAnswer: 6, -3, -7222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + m + 4)*(-3*m**3 - 1 + 1) - 3*m**4 - 5*m**4 - m**4.\nAnswer: -12*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 96 = l - 199, 4*l - 3*f - 1088 = 0. List the prime factors of l.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3810015 meters to kilometers.\nAnswer: 0.0003810015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 d when three letters picked without replacement from ddaddddaddddad.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, f: 5}. What is prob of sequence wf?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 380090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 14*w**2 - 15*w - 1. Suppose -3*b = -2*p - 21, 0 = 5*p + 5*b + 141 - 51. Let s be x(p). Let g(q) = 3*q**3 - 2*q - 1. What is g(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 212 + -206. Let g be 213\/(-2) - 4\/(-8). Let t = -741\/7 - g. Which is the biggest value? (a) j (b) t (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f - 3. Let x(s) = 1. Let i(t) = -15*x(t) - 3*z(t). Let h be i(-7). Is -27 less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -14, -9, 16, 67?\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/658 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12580 + 1390. Suppose 3*t + 329862 = 4*g + h, -g = 3*t + 315902. Round t to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 3 + 3)*(-9*f + 5*f - 12*f)*(0*f**3 + 4*f**3 - f**3) in the form q*f**4 + b*f**2 + u + d*f**3 + v*f and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1334 (base 11) to base 5\nAnswer: 23411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/203175 and -31\/1575.\nAnswer: 203175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do 660 and 660 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4453740 - 4453740 + 34*j**2.\nAnswer: 34*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -55, -54, -113, -262, -531, -950, -1549, -2358?\n\"Answer: -5*i**3 + 36*i - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 5*i. Let b = -20 + 24. Suppose 2*u - u + 11 = b*z, 0 = z - 3*u - 11. Let x(f) = 2513*f - 2513*f - 9*f**z. Determine x(n(t)).\nAnswer: -225*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1532 + -1532.06849. Round t to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 + 39. Suppose -v + 3 = q. Let n = 4 - v. What is the remainder when 34 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/12 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 16228*s + 0 + 0 - 16227*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 11*w - 35. Determine i(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 2 (c) -5.6 (d) -208 (e) 0.9 (f) -4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*a + 23*a - 10*a + 64*a**3 - 62*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -53 + 101 + 129 - 796*q**2 + 27 + 165*q**2 wrt q?\nAnswer: -1262*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 - -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 190?\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176 = 5*r + 151. Suppose -10*l = -r*l + 11*l. Suppose -6*t + 3*t - 3*v = -81, 0 = -5*t + v + 123. Solve -5*d - t = -l*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/6 - -1)*75\/(-50). Which is the closest to d? (a) 5 (b) 7 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uhavl. What is prob of picking 2 a, 1 v, and 1 u?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 41*n. Let g(j) = 4*j - 1016. Determine g(i(f)).\nAnswer: 164*f - 1016","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 3:09 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/7 + 20\/28. Suppose -f - 11 + n = -5*z, -5*f + 13 = -4*z. What is the remainder when 5 is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c*q**5 + 69*c*q**4 - 87*c - 5*q wrt q?\nAnswer: 40*c*q**3 + 828*c*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19228 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**4 - 6759*s**3\/4 - 1284939*s**2\/4 - 3636005*s\/4 + 474591\/4 = 0.\nAnswer: -559, -283, -3, 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -5*t + 77, -o + 20 = 2*t - 6*o. Let x = 21 - t. Let m be (-27)\/x*40\/(-3). Calculate the highest common factor of 15 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*h**5 - h**5 - 22*h**5 - 4*h**2 wrt h?\nAnswer: -1020*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -329 - -324. Which is the nearest to -1\/3? (a) n (b) 1\/12 (c) -0.4 (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 16 - 37. Let n = -38 + l. Let u = n - 10. Calculate the remainder when u is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 5*b - 18, 0 = 4*w + 2*b + 2*b - 32. Suppose -12*g = w*g - 7*g. Solve 2*q + 6 = 4*i, 5*q + i + 15 = -g*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2406 - -2408. Let l(f) be the second derivative of 4*f - 2\/3*f**3 + 6*f**g + 0. What is the derivative of l(p) wrt p?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12446317 or 12446320?\nAnswer: 12446317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*t**2 + 0*t**2 - 3*t**2.\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -7*n**2 + 6*n. Let g(u) = -13*u**2 + 11*u. Let l(y) = -6*g(y) + 11*q(y). Let i(m) = m**3 + 6*m**2 + 2*m + 12. Let s be i(-6). Give l(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -1\/2*a**2 - 7 + 5*a. List the prime factors of n(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 10277420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2*w + 4 = 0, 2*w + w = 5*m + 6. Let r(u) = -u**2 - 5*u. Let p be r(-5). Is (2 + p)*(10 - m) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 488 = -2*z, 4*a + 4*z - 488 = 8. What is the tens digit of (48\/80)\/(2\/a) + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -54*v + 18 + 36*v + 35*v - 37*v**3 - 18. Let l(a) = -6*a**3 + 3*a. Give -34*l(i) + 6*q(i).\nAnswer: -18*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3 - 8*f**2 + 2*f + 12.\nAnswer: 2*(f - 3)*(f - 2)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.17 * -299.\nAnswer: -50.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.2, 0, 8, 0.3, 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10343 or -10334?\nAnswer: -10343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -r**5\/60 + r**4\/6 + 5*r**3\/6 - 2*r**2. Let t be n(5). Let z(d) = d**2 - d + 6. What is z(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*g**3*x**3 + 12*g**3 - 42*g**2 + 2*g + 2*x**3 - 11128*x + 2 with respect to x.\nAnswer: 45*g**3*x**2 + 6*x**2 - 11128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 879078.1 tonnes?\nAnswer: 879078100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*m - 11. Suppose 5*g - 3*x - 45 = 0, -g - 1 - 7 = -4*x. Solve -h - g = -m*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 617248 is divided by 102873?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -8*g - 2. Suppose -7 = -2*y + 73. Calculate the remainder when y is divided by o(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/2)\/(-4 - -2). Suppose c - 4 = z. Let j = -1 - -2. Sort -4\/7, j, c in descending order.\nAnswer: c, j, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 6:13 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17367*r + 7945*r - 2792936 = 22624*r + 475756 for r.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 23 (b) -1\/7 (c) -106 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-2)*3\/(-6). Let j = 599 - 597. Does 14 divide (-1 + j + -31)\/s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.6 - -0.9. Let r = i + -0.2. Let m = -0.098 + r. What is m rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + z + 5 + 10.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -100100001?\nAnswer: 100100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14537.6 - 11178. Round d to the nearest ten.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -0*w + 3*t + 1, -4 = 2*t for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 20268554 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -27 from 3073169.19009.\nAnswer: 3073196.19009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2435 + 2440. Let g(b) be the second derivative of 1\/4*b**m - 25\/6*b**3 + 15*b + 15\/2*b**2 + 5\/12*b**4 + 0. Find r, given that g(r) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -7*h**4\/4 + 5*h**3\/3 + h**2 + 34. Factor j(m).\nAnswer: -m*(m - 1)*(7*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4680 by -1.\nAnswer: -4680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32947 and 2608421.\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1209)\/27*18102\/(-93527)?\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.52911 years in decades?\nAnswer: 5.452911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 34, 22, 10, -2, -14?\n\"Answer: -12*c + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -2\/43 (b) -5 (c) 0.4 (d) 9 (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - 2*-3) + -1. Find the second derivative of 48*o - 35*o - 7*o**4 + v*o**4 wrt o.\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 18de - 5?\nAnswer: 18d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 7 = 4*k + 3, -5*k + 3*q = -2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 5*w**2 - 6*w + 6. Let b be g(6). Suppose 0 = n - b*n - 20. Suppose 0 = j + 2*h + 1, 2 = 3*j - 3*h - 22. Put -5, n, j, 4 in descending order.\nAnswer: j, 4, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35884053?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18567 = -30183*j + 29529*j - 2361 for j.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-37 + 69124\/220)\/(4\/170)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -281, -278, -275?\n\"Answer: 3*z - 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.7 + -1. Let n = 0.8 - a. What is the closest to n in 6, -0.1, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1005 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m**2 + 5*m**2 - 5*m**2)*(9*m**2 - 6 + 6) + (1 - 6 + 1)*(-9*m**4 - 9 + 9) to v*m**2 + k + o*m**4 + x*m**3 + a*m and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v**3 + v**2 + 3*v - 8. Does 62 divide j(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 975.335 + -1.335. Let u = x + -973.527. Round u to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1405 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 733642476 to the power of 1\/4, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 1010?\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12475232 divided by -8?\nAnswer: -1559404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 12105?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*c - 2*c + 32 = 0, -2*v - 24 = 2*c. Let r = v - -10. Suppose -10 = -r*o - 2*o. Sort 1, o, 2, 7 in descending order.\nAnswer: 7, o, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.3 (b) -5 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 492915 divided by -3\nAnswer: -164305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/1 + (3 - 2). Suppose v = -3*p - 4*p + 14. Solve -2*t - 3 = b, 0 = -3*t - 5*b - p + 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2 (b) 3196\/7 (c) 5\/3 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x - 1. Let i(t) = 5*t - 3. Let l = 11 + -15. Let h(r) = l*y(r) - i(r). What is the units digit of h(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 1100110010100?\nAnswer: -1100110010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -258647, -517294, -775945, -1034600, -1293259?\n\"Answer: -2*l**2 - 258641*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -54 - -54.39. Let f = i + 0.01. Sort 4, -2\/9, f.\nAnswer: -2\/9, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7316*i + 132238.\nAnswer: 7316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14961103, 29922209, 44883315, 59844421?\nAnswer: 74805527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*n + 5*n + 168 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1918 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 119, 126, 133, 140, 147, 154?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 0, 560, -28 in ascending order.\nAnswer: -28, -5, -3, 0, 560","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1209642265 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a micrometer in nanometers?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + n)*(-n**2 + 0*n**2 + 0*n**2) - 3*n + 3*n + 2*n**3 - n + n**3 + n + (5 - 2 - 4)*(6*n**3 - 2*n**3 - 2*n**3) - 9*n**3 + 7*n**3 + 7*n**3.\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 6 + 19 = 0. Suppose -20 = -5*q - m. Differentiate 6*r**q - r**3 + 5*r**3 - 14 - 20*r**3 wrt r.\nAnswer: -30*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -j**4\/4 + j**3\/3 + j - 1. Let c(d) be the first derivative of r(d). What is the second derivative of c(k) wrt k?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i - s + 3 + 8, 5*s = -i - 1 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, 11, -1\/3, -457003?\nAnswer: -457003","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-2)*34\/(-1530)*-22?\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*h - 32 + 82 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1456750 is divided by 128?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1933753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*j - 547 + 22 = 0 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 28*n + 5. Let t be x(-1). What is the second smallest value in 0.3, t, 0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2821 - -1.8146\nAnswer: 2822.8146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 744197571 to the nearest integer?\nAnswer: 906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3007, -3002, -2991, -2968, -2927, -2862, -2767?\nAnswer: -2636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (0\/(-16) - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/4*(252\/(-81))\/(-7). What is the nearest to -2 in 4, t, -11?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -4*t**3 + 11*t**2 - 7*t + 7. Let v = -492 + 503. Let p(z) = -2*z**3 + 6*z**2 - 4*z + 4. Give v*p(l) - 6*b(l).\nAnswer: 2*l**3 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 58213.6nm in meters?\nAnswer: 0.0000582136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11795 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -119 - -123. Calculate the least common multiple of 74 and d.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -210*g + 1482. What is o(7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100111 - 11100?\nAnswer: -1000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 552 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 911 a factor of 8550646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*h - 19*h**2 + 12*h - h**2 to the form k*h + y + a*h**2 and give a.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -311, -307, -303, -299?\n\"Answer: 4*s - 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*t + 35*t = z, -15*t - 26 = 49 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**35)\/n**(-2\/9) assuming n is positive.\nAnswer: n**(335\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 4*a = 22 - 21, -4*g + 3*a = -53 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**2 - 173*l + 1875. What is the smallest common multiple of f(-90) and 249?\nAnswer: 1245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 215 = 2*n. Let z = 20\/117 + -73\/13. Find the common denominator of z and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 8*c**2 - 3*c - 4. Let w(a) = a**3 - 7*a**2 + 3*a + 3. Let o = -8 + 11. Let r(k) = o*h(k) + 4*w(k). Determine r(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, n: 3, w: 7, d: 5}. What is prob of picking 1 n, 1 w, and 1 d?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 62 times 162178\nAnswer: 10055036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -k**6\/15 + 3*k**5\/2 + 7*k**4\/6 - 37*k**3 + 90*k**2 - k + 2273. Solve i(t) = 0 for t.\nAnswer: -3, 1, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3, -1, -19, -57, -121?\n\"Answer: -x**3 - x**2 + 6*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 1 = 5*f. Let h = f - -6. Let z be ((-2)\/(-8))\/((-7)\/h). Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus 54398149?\nAnswer: -54398146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyttytyttytyyyytttt. Give prob of picking 2 y.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18 + 167 + 430*b**2 + 205 + 215 - 190 wrt b.\nAnswer: 860*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 94377 and 58479?\nAnswer: 9532077","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 12*q - 37 - 3 - 56 - 37.\nAnswer: 12*q - 158","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -5. Let j = f - -2. Suppose -4*t - t + 3*o = -19, -1 = -t + 2*o. Solve 0 = -3*c - j*i, -t*i + 2 = -c + 21 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 8 - 18 = 0. Suppose 5 = r - 1. What is the least common multiple of r and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -78179*u + 5 - 93616*u - 26204*u. Suppose 0*g - 3*r = 2*g + 13, 5*g + 4*r + 29 = 0. Let j be f(g). What is j rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 447?\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/11 + (-2)\/2 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 785\/9 - 1\/(-27)*-6. Let z = u + -67. Calculate the remainder when 57 is divided by z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 less than 3759?\nAnswer: 3692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 2*y = -48. Let u(z) = 44*z + 2. Calculate the remainder when u(1) is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4047348 - -88896271\/22. Let i = p + 6610. Find the common denominator of i and (-217)\/(-60) - (-6)\/(-9).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 0*k - 4*k, 0 = 3*o - k - 7. Let d(i) = -15*i**o + 9*i**2 + 4*i**2. Let q(z) = z. Determine q(d(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12196139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2798272.\nAnswer: 2, 23, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3\/10, -0.2, 119485 in increasing order.\nAnswer: -0.2, 3\/10, 5, 119485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 0. Suppose -8 = -r*m + m. Factor 5*j**4 + 0*j**5 - 8*j**5 - 3*j**m.\nAnswer: -2*j**4*(4*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.146, 1\/8, 0.052548 in descending order.\nAnswer: 1\/8, 0.052548, -0.146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - 2*c + (4*c - 5*c - c)*(-3 + 0 + 4) + 2*c - 5*c - 8*c + 5*c + c - 4*c.\nAnswer: -13*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5057 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 5 = -25. Let r(g) = -g**2 - 4*g + 47. Let v be r(-9). Let k(m) = 7 - 21 + v*m**2 + 9 + 11 - 6*m. Give k(a).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 444501 (base 6) to base 9.\nAnswer: 56181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -201, -2, 3\/7, -2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37\/15 - -16\/5. Let y(h) be the first derivative of -w*h**3 + 0*h - 13 + 0*h**2. Let j(r) = 2*r**2. What is y(j(l))?\nAnswer: -68*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*h - 43 = -14 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90459.\nAnswer: 3, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/93 and -27\/20387.\nAnswer: 1895991","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1895\/2 greater than -948?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 50 - (-10*(-12)\/(-540) + 1 + (-22)\/(-18))\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -6, 2*x - 25 = -2*o - 3*x for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1787338 or -1787362?\nAnswer: -1787338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e88 + -2b9a?\nAnswer: -1c12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/63 and 67\/4995441.\nAnswer: 34968087","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 206\/19 (b) 22\/15 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3174990 is divided by 250?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 3*s**2 + 4. Let o be c(3). Find the common denominator of -27 and -3 - ((-134)\/o + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*d**2 + 2*d + 0*d - 6*d**2 - 4)*(6*d - 2*d + 0*d) to t*d**3 + q*d**2 + p + l*d and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3. Suppose 4*l = 29 - 33. Let w(h) = 4*h**3. Give l*w(i) - 3*d(i).\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -6, -2, 5 in descending order.\nAnswer: 5, -2, -6, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 10*i - 9. Does 11 divide c(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 533, -43 in decreasing order.\nAnswer: 533, 3, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(1\/14))**(-2\/3)\/((t\/t**(1\/22))\/t**(-24)) assuming t is positive.\nAnswer: t**(-11815\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 504075038?\nAnswer: 2, 23, 10958153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 142 and -1.\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.6 - -0.4. Let v = -140.1 - -140. What is the closest to v in q, -0.5, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -9. Let t(z) = z**3 - 11*z**2 - 25*z + 26. Let s be t(15). Suppose -s = -27*c - 173. What is the highest common divisor of f and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -5, -24, -51, -2 in descending order.\nAnswer: 4, 1, -2, -5, -24, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) -5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 0 + ((sqrt(7)*-2 + sqrt(7))**2 + -4 + 0 + sqrt(7) + -2)*-4.\nAnswer: -4*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -11 - 19. Suppose -t*c = -8119 + 3294. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 39 = -2*o, -16 = 3*o - 3*j + 74. Let h be (-1 - -2)\/((-9)\/o). Suppose -1351*z - 10 = -1356*z. Solve z*g = 3*l - 16, -h*l - 4*g = l + 12 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 - -30. Suppose v = 7*n - 38 - 88. Does 9 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 1)*(-2*j + 2*j + j)*(j**2 - 2*j**2 + 2*j**2) as z*j + k*j**2 + t + d*j**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 6*y**2 - 46*y - 89. Calculate the remainder when 4321 is divided by o(11).\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-18)\/j**(1\/5))\/((j**0*j)\/j)**(-1\/15) assuming j is positive.\nAnswer: j**(-91\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 188935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 6 = 3*f + 25, 0 = -f - 5*p - 23. Solve 5*d = 3 + f for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3931937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 1. Let z = -0.5709 - -0.4709. Which is the second biggest value? (a) z (b) -9 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32)\/sqrt(2))\/sqrt(2).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 10201220?\nAnswer: 10201203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.53 * -320131\nAnswer: -169669.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 1541 = -2*q + 1540, -5*q + 2*x + 12 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2017, 2009, 1997, 1981?\n\"Answer: -2*h**2 - 2*h + 2021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 9 = -x, 2*j + 19 = -j + 4*x for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24849\/35 - -710. Are f and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/6*24\/16. Let w = 65 - 71. Which is the closest to 0.2? (a) 3 (b) v (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 11*j**2 + 4*j - 7. Let u be c(2). Solve -5*q + 5*b = 5, 5*q + 24*b + u = 19*b for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 23, 36, 47, 56, 63, 68, 71?\n\"Answer: -g**2 + 16*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-18))\/((((-361)\/(-19))\/(-741))\/1).\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 81203.13l?\nAnswer: 81203130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15)\/(-10)*8\/6. Let f = -78 + 85. Let u = f - c. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -170 (base 16) to base 14.\nAnswer: -1c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 437208777\/590 + -741032. Calculate the common denominator of -81\/590 and y.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/1*(19 + (-1533)\/81). Which is the second biggest value? (a) -3 (b) -353 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 2*s + 2 + 7, -18 = -5*d + s. Suppose t = -3*j - 0*t + 62, j = -d*t + 10. Is j a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 14981695.\nAnswer: -2996339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.11013 + -1.11. What is r rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18588112000 to the nearest one million.\nAnswer: -18588000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/8)\/(2\/8). Let y(t) be the third derivative of 0*t + 1\/60*t**6 - 1\/30*t**i + 2*t**2 + 0*t**3 + 0*t**4 + 0. Find the third derivative of y(a) wrt a.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 192343?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1450.83 rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/20)\/((-5712)\/837760).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/5)\/f)\/(f*f\/f**(-1\/3))*f**(-3\/2)\/(f\/(f**7\/f))*((f*f**(2\/9)*f*f)\/f**3)**(-3\/31) assuming f is positive.\nAnswer: f**(107\/310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + (0 - -15) + 1. Calculate the greatest common factor of 126 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 81\/2*d**5 - 333\/2*d**2 - 471\/2*d**3 - 54*d - 315\/2*d**4 = 0. What is d?\nAnswer: -1, -2\/3, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.15512 * -0.4.\nAnswer: 0.062048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxkkxkkxxxxk. Give prob of sequence kk.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of 0*z + 0 - 5*z**2 - 1\/3*z**3 - 1\/30*z**5 - 1\/6*z**4. Solve m(j) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5875673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 18*q**2. Let g(n) = -n**2 - 2*n**2 - 1172*n + 2344*n - 1172*n. Give w(g(y)).\nAnswer: 162*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -922121 to the nearest 10000.\nAnswer: -920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 189291921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 p when three letters picked without replacement from {p: 2, a: 2, k: 4, c: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -140901 divided by -2103.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y - 1 + 0*y + 3*y**2 + y**3 - 4*y**2. Let c(w) be the second derivative of -w**3\/6 - 3*w**2\/2 + w - 43. Let h be c(-5). Give f(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/19, 2, 313?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 2) to base 14\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*d**2 + 0*d**2 - 5*d**2)*(-5*d + 3*d + 0*d) - 2*d**3 + 0*d**3 + d**3 + d in the form w*d + h*d**2 + b*d**3 + f and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 11*c + 30. Suppose -2*w = q - 4*w - 7, c*q - 21 = 2*w. Let i(r) = -2*r**2 + 15*r + 10. Does 5 divide i(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*g - 4*t + 2, 1 = 3*g + t. Suppose -2*n + 1 + 3 = g. Let s(q) = -q + 5. Let r be s(4). Solve -n*k + 3*m = -4*k - 5, m = -k - r for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10584 + 10589. Sort -1, b, 1, 3, 9 in descending order.\nAnswer: 9, b, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -34, -2, 4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, 6.02, -3\/8, 655, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 - (-61 - (37 - 41))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5*c - 113 = 0, 0*c + c + 1 = 0. Calculate the remainder when p is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of c**7\/63 + c**6\/15 + c**5\/15 - c**4\/9 - c**3\/3 - c**2\/3 - 3*c. Factor a(y).\nAnswer: 2*(y - 1)*(y + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*r*v**3 - 2*r*v**2 + 15*r*v + 12*r + 772*v**2 - 2*v wrt v?\nAnswer: -12*r*v - 4*r + 1544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f\/f**(-2\/17)*f)\/f*f))\/(f\/(f**(2\/5)\/f)))\/(f**(-5)*f)**(-25) assuming f is positive.\nAnswer: f**(-8731\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 80 = 25*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-4)*j**(1\/7) assuming j is positive.\nAnswer: j**(-27\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 464 and 825224.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26768.93 weeks in days?\nAnswer: 187382.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -253 less than -254?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2, -55, -154, -299, -490?\n\"Answer: -23*d**2 + 16*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a - 5*a - 6 + 8 + (0 + 2 - 1)*(2*a + 3 - 3).\nAnswer: -4*a + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 14 = -2*p, -7*p = -5*j - 10*p + 31. What is the remainder when 59 is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**3\/6 - 1281635*m**2\/6 - 33323017*m\/6 - 216600709\/6 = 0.\nAnswer: -13, 1281661","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.9 - 0.1. Let w = r - -3.9. Let p = -18007 + 36017\/2. Which is the closest to w? (a) 4 (b) p (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 300, -3, -2\/15, 5.9?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1, -133, -305, -515, -763, -1049, -1373?\n\"Answer: -19*w**2 - 77*w + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/12)\/((-10)\/14*777\/(-333)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2600717653431 - 3*z - 5201435306860 + 2600717653429.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 449 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r = -4*r + 5*f - 5, -r + 8 = -f. Sort -4, r, 9, 4 in increasing order.\nAnswer: -4, 4, r, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + -60 + 18 + 18.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1432*d**2 + 1432*d**2 + 236*d**3.\nAnswer: 236*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of -1\/10*l**5 + 0 - l + 1\/4*l**4 + 0*l**2 + 0*l**3. What is the third derivative of g(o) wrt o?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**3 - 2*m**2 - 55*m - 29. Let o be g(6). Let j = -0.05 - 1.95. Which is the nearest to -2? (a) j (b) o (c) 5 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, 0.06, 0.3.\nAnswer: -0.05, 0.06, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 674233160 to the power of 1\/2, to the nearest integer?\nAnswer: 25966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 26378807?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -5*u + 501, -61*u + 64*u - 305 = -4*c. Solve 94 = -t + u for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.01 - 0.01. Let x = -6458 - -6463. Which is the third biggest value? (a) -2 (b) x (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, i: 1, q: 1, e: 2}. What is prob of picking 1 l and 1 e?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/49 (b) -3\/7 (c) -0.5 (d) -1 (e) 4 (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -318*i**2 + 638*i**2 - 13 - 124*i - 322*i**2 to n*i + t + m*i**2 and give t.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0943873 years in centuries?\nAnswer: 0.000943873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x**2 - 321*x + 156*x + 165*x.\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 1 - 9. What is the biggest value in k, 1\/2, 1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36 + 122. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 15, -552, 5, -3 in decreasing order.\nAnswer: 15, 5, 1, -3, -552","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22675 divided by 4535.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 6.47234mg?\nAnswer: 0.00000000647234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24*16\/(-120))\/(6\/15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 412.8 + -367. Let f = -1223 - -1177. Let k = f + b. What is the closest to k in 0.1, -5, 7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7327 is divided by 180.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*277126.\nAnswer: 55425.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 673711459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(3993)*1 + sqrt(3993))\/(2*sqrt(3)*-1 + sqrt(363)*2).\nAnswer: -11*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21890779?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 - 12836*m.\nAnswer: -4*m*(m + 3209)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/(-2)*(-8)\/6. Let s be (-15)\/(-2) - 4\/v. Solve -s*j + g = -3*j + 1, 3*j = g + 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 - -4 - (34 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4340311443 (base 5) in base 2?\nAnswer: -100011100000001111110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 254*z**2 - 844*z + 84888. Determine s(256).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -349019\/40668 - 4\/3389. What is the common denominator of x and 879*(-5)\/(-225) + 15\/50?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence evmm when four letters picked without replacement from {m: 11, e: 2, i: 1, v: 1}?\nAnswer: 11\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 785*s**2 + s. Let n(l) = l. Calculate n(y(f)).\nAnswer: 785*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 11:34 AM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52538 by 24.\nAnswer: 26269\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a + 8. Let u be z(13). Sort 2, u, 1 in increasing order.\nAnswer: u, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 6*z. Let u(f) = 12*f**2 + 4*f. What is u(o(x))?\nAnswer: 432*x**2 + 24*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**3 + 5*z**2 - 28*z + 23. Let m(p) = -2*p**3 - 4*p**2 + 24*p - 25. What is -2*a(b) - 3*m(b)?\nAnswer: 2*b**3 + 2*b**2 - 16*b + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 + (-1050)\/135 - 1\/6)*-20.\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 0*l - 4. Suppose 0 = -4*t - 4*h + 16, -4*t = -l*h - 2*h + 24. Let d(n) = n**2 - n - 1. Let u be d(t). Is u not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -98 - -149. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2152370489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 - 38. Suppose -4*z + 492 = -w*z. What are the prime factors of z?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**4 + 2460*i**3 + 1006128*i**2 + 135812484*i - 416559186 = 0. What is i?\nAnswer: -411, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0*w = -5*w. Calculate the remainder when 167 is divided by (w + 28)*((-34)\/4 + 9).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b*f**2*q + 2*b*f**2 - 7*b*x + 8271*f**2*q*x - f**2*q + 2*f*x - 2*q*x + 1477*q wrt f?\nAnswer: -4*b*q + 4*b + 16542*q*x - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -428 - -7274\/17. Let t = -1029\/2585 - 1\/517. What is the third biggest value in 5, i, t, 3\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 24 = 6. Let g = 10 + a. Is (6 - g)*(-1 - -10) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 0)*2\/4. Let o = -13.04 - -20.04. What is the closest to 2\/41 in r, -4, o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a millimeter in micrometers?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5\/4 (b) 3\/2 (c) -1\/6 (d) -9 (e) -8 (f) 0 (g) 4\/7\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99594207.\nAnswer: 3, 29, 41, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q**2 - 1. Let h be ((-7)\/4 - 11\/44)*1. Let p(w) = 3*w**2. Determine h*m(o) + 3*p(o).\nAnswer: o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.03 + 0.03. Let t = 5.2 - 0.2. Put b, -3, t in increasing order.\nAnswer: -3, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2281 and -7245?\nAnswer: -1652.5845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42 (base 12) to base 13.\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4a2a4 (base 14) in base 10?\nAnswer: 181640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35106 + 2316925\/66. What is the common denominator of r and 0 + 93\/90 + -3?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -o**4\/8 - 7*o**3\/4 + 45*o**2\/2 + 152*o + 2. Factor r(a).\nAnswer: -3*(a - 3)*(a + 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -54.\nAnswer: -7\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2650009093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -537.41 - -742.4. Let u = j + -205. Which is the closest to -1? (a) -1\/3 (b) u (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -169*g**2\/3 - 34119*g + 11514.\nAnswer: -(g + 606)*(169*g - 57)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ihmxxhmhhmimimm. Give prob of picking 2 i and 1 h.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + -23 - (2 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-92)\/115)\/(1\/(-10)). Suppose -4*h + m = -0*h. Suppose -3 - h = -c. Is c bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-57)\/2*8\/6. Let u = 157 - 239. Let c = v - u. Does 9 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*u = 143 - 9143. Let g = u - 249. Calculate the greatest common divisor of g and 168.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 1 = 3*z. Let y = -249 - -246. Sort y, z, 3 in decreasing order.\nAnswer: 3, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*sqrt(77))\/(sqrt(11) + ((sqrt(99) - sqrt(99)*2) + sqrt(99))\/sqrt(9) + sqrt(11)).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -859 = -5*y + i - 818, -2*y + 15 = i. Solve -y*c = -n - 6*c + 1, -n + c = -1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhjhhjhhhjhhjhh. Give prob of picking 2 j and 1 h.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00080124148662 plus -0.11?\nAnswer: -0.11080124148662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 5314*a + 53152. Calculate m(-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 8:31 AM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**4\/2 + 3*y**3 + 6*y**2 + 4*y = 0. Calculate y.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*w + 164*w = 3468 for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/39*(-42)\/(-84).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, k: 7, y: 1}. Give prob of sequence kky.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -3*h + 9, 3 + 9 = 3*h + 4*k. Suppose -2*d - j + 47 = h, 5*d - 7*j + 3*j = 98. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {x: 4, o: 2, e: 5}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d - 10. Let n be w(3). Let v = -13 - n. Is 4 a factor of v\/(-4)*32\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2. Let d(b) be the second derivative of 0 + 0*b**2 + 1\/3*b**3 - 10*b. Determine a(d(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 0.06, -3\/4, -6, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/12 in 6, -525, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = -69*s + 81*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -339291\/26872 - -4\/3359. Find the common denominator of (-535)\/(-30) - (0 - 2) and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/sqrt(4)*1 + 0 + sqrt(567) + sqrt(567))**2.\nAnswer: 2527","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*j + 48*j + 92218 = 0. What are the prime factors of j?\nAnswer: 7, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 5*j**2 - 3*j. Let y(h) = h**2 - h + 1. Let v(n) = -o(n) + 4*y(n). Let s = -38 + 57. Let m = s - 19. Calculate v(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4690.14 and 0.246?\nAnswer: 1153.77444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -2*c**5\/5 + c**4\/6 - c**2\/2 + 2*c. Suppose m + 2*z + 3 = 0, 2*z + 3 = 3*m - 4. Let g = 2 - m. Give s(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of n**6\/120 + n**5\/12 - n**4\/24 - n**3\/3 + n**2\/2 + 1. Let t(u) be the second derivative of w(u). Let f = -76 + 71. Give t(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3680 - 3671. Calculate the smallest common multiple of o and 2952.\nAnswer: 2952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(896))\/(sqrt(16)\/sqrt(32)).\nAnswer: 64*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*z = 313 + 18 + 371 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1693 - 377482?\nAnswer: -379175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-5)*(-2)\/(-12). Let t be 2*(-1 + 2) + -3. Which is bigger: t or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/8 - (-207)\/(-4). Suppose z = 2*p - 189, 38*p - 4*z - 296 = 35*p. Let m = p + k. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l**2. Let t(h) = 30 + 61*h - 45 - 28*h + 3*h. Determine t(o(a)).\nAnswer: 108*a**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 972 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 65*l + 5124. Give d(-79).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q - 10*q - 2 + 4*q**2 + 9*q)*(9*q**2 + 123*q - 123*q) in the form z*q**4 + s*q**3 + a*q + i*q**2 + j and give z.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 48*y**2 - 702*y - 637. Calculate c(15).\nAnswer: -367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -7*i**2 + 2*i + 1. Determine s(2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - 12. Suppose -2*i = j*b - 16 - 26, -4*i - 4 = -b. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4*x + 18 = -11, 3*h - 25 = 2*x. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y + 1. Let d be q(1). Suppose 0 = d*c - 3*p + 9, -4*c - 6 = p - 2*p. Is ((-3)\/(-9))\/(c\/(-93)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 188*t + 5760 + 820 for t.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-25))**(-3\/2)\/(g**19\/g**(-5\/2)) assuming g is positive.\nAnswer: g**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 4 = 5*s, 5*m - 3 = -21460*s + 21458*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 7:32 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, h: 1, o: 1, f: 1, l: 2}. What is prob of sequence hlxf?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, -224, -523, -952, -1517, -2224?\nAnswer: -3079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -4, -3, -44 in ascending order.\nAnswer: -44, -4, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144*t**3 + 1530*t**2 - 54*t**3 + 345*t**3 - 1563*t**2.\nAnswer: 435*t**3 - 33*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -y**5\/60 + y**4\/12 - 36*y**2. Let a(r) = 3*r**2 - 7*r + 1. Let d(j) = 6*a(j) + 17*v(j). Give d(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1083160*c**4 - 2*c**2 + 208*c - 830.\nAnswer: -25995840*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212044 is divided by 83.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*t - 4*w, -7*t + 3*w = -3*t + 12. Suppose 4*a - 2*j = 798, t*j - j = 3. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-1))\/(((54\/(-9))\/30)\/1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -72271 - 165?\nAnswer: -72456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1138)\/(-1620) + 15\/(-9) + 1615\/1275 and -62\/1863?\nAnswer: 3726","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2316\/16 + 2 - 3\/(-12) is divided by 51.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1379?\nAnswer: 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/4, 67036, 5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1068658 is divided by 534236?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 4*t - 4. Let l be j(4). Let k = l - -14. Calculate the remainder when 103 is divided by k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42767 is divided by 382?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1270 - -1712355?\nAnswer: 1711065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-34)\/51 + (-1400)\/(-768) and 9\/40.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + b + 8 - 29, -p + 23 = -b. Let u be (27 - p)*6\/10. Let l(o) = -3*o + 3. Let a be l(-7). What is the highest common divisor of a and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -247\/5 + 50. What is the smallest value in h, -39, 0?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18276241483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 5*l = -50 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -19*a - 4. Let o(q) = 14*q + 3. Let z(x) = 4*o(x) + 3*w(x). Let k(y) = -11*y**2 + 3*y. Determine z(k(t)).\nAnswer: 11*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1866 + 1865 - (14 + (0 + 0 - 0))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40 - (-7 - (16 + -13))) + 11?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1200489950 to the nearest one hundred thousand.\nAnswer: 1200500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 7*l**2 + 8*l + 8. Let d be g(-6). What are the prime factors of (30\/(-4))\/(3\/d)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-1 - (0 + 1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39.3 + -39. Let z = 69 + -68. Let k = 1\/60 + 113\/420. Which is the closest to p? (a) k (b) 5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of 2*s**3\/3 - 63*s + 225. Let i(n) = -2*n. Calculate z(i(x)).\nAnswer: 8*x**2 - 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 1. Let w(k) = 40*k - 3441. Let c be w(86). Suppose -2*f - 3*s - 27 = 3*f, f + 5*s = -23. Let a(u) = -u - 4. Determine c*a(q) + f*j(q).\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2739163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217 is divided by 28.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -530 = -252*t - 225 + 451. Let u = -7 + 10. Suppose -5*a + 1542 = -u*v + 506, 0 = v - t. Calculate the highest common factor of 11 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vjwl when four letters picked without replacement from {j: 1, r: 9, l: 1, w: 5, d: 1, v: 1}?\nAnswer: 1\/14688","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -1 - (5 - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**3 + 3*p**2 + 6*p - 3. Let k(c) = c**3 + 4*c**3 + 13 + 27485*c - 8*c**2 - 13763*c - 13740*c - 5. Determine 3*k(h) + 8*z(h).\nAnswer: -h**3 - 6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(2448)*-1 + -1)*-5)**2 + (-2*sqrt(425) + sqrt(425) - sqrt(2448)*-1) + 5.\nAnswer: 5407*sqrt(17) + 551030","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-879 + 430 + 418)*(0 - h + 0) + (5 - 2 - 1)*(5*h - 2 + 2) in the form d*h + f and give d.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2475?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14458 divided by 2444.\nAnswer: 7229\/1222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-one eighths of a kilometer?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1457280555 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 1, -3.\nAnswer: -3, 1, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -y**5\/20 - y**4\/3 + y**3\/3 + y**2 - 7*y. Suppose 2*k + t - 10 = 0, -11 = -2*k - 5*t - 1. Let z = -7 + k. Determine s(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*z**5\/7 - 48*z**4\/7 - 3736*z**3\/7 + 6284*z**2\/7 - 2938*z\/7 + 60 = 0. What is z?\nAnswer: -14, 1\/3, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/1449 and -13\/30?\nAnswer: 14490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -244*g - 163*g - 6919 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736) - (-2 + sqrt(2736) - sqrt(2736))) + 2 - sqrt(2736))**2*4*-6*5 + -5.\nAnswer: -1925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 9. Suppose 2*d + 0*d - 5*p - 23 = s, -3*p - 17 = 2*d. Put d, -4, -5 in ascending order.\nAnswer: -5, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22.9 - -27.9. Suppose m + 4 = 4*w, -4*w + 14 = -w + 2*m. Which is the closest to 2? (a) f (b) 1\/4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8201952 divided by -6?\nAnswer: 1366992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*v**4*w**3 + 11*v**4*w + 191*v**2 - 2*w**3 + 1 wrt v?\nAnswer: -120*v*w**3 + 264*v*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 980700230.\nAnswer: 2, 5, 98070023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2320 and 6160.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z + z - 2*z - z. Let s(j) = 5*j. Calculate a(s(k)).\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*t + 5 - 5 - 61*t - 18*t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from golppopljppppploljl. Give prob of sequence gpo.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b - 3*h = 35, 155*b - 150*b - 15 = -5*h for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258*a - 7790 = -163*a for a.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 714953 and 11.\nAnswer: 7864483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1168*p - 12868 = -223*p + 24020 - 33 for p.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -63? (a) -5 (b) 0.3 (c) 2\/33 (d) -0.2 (e) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 253, 507, 761, 1015, 1269, 1523?\nAnswer: 1777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 z when four letters picked without replacement from {b: 2, x: 2, z: 5}?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2*q + 8 = 0, 4*b + 1 - 19 = -3*q. Find the common denominator of 61\/20 and 142\/24 + 2\/b.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -3638 and -3639 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -239.36 + 1581.26. Round h to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 59 - 50. What is w in 10 - 10*w**2 - k*w**4 + 11*w**4 - 2 = 0?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -940*c = -937*c. Let a = 6408\/3683 - 50\/29. Put a, c, 4 in increasing order.\nAnswer: c, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22811 + -22808.00096. Let n = x + -3. What is n rounded to four decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 79378?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-1 + -5 + 4 - (19 + -5)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -3. Suppose -210 = -m*s - 5*s. What are the prime factors of s?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 1030692.\nAnswer: 5153460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5012 is divided by 68?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**5\/5 + 1569*b**4\/5 + 3177*b**3 + 11163*b**2 + 79878*b\/5 + 38376\/5 = 0.\nAnswer: -4, -3, -2, -1, 533","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -7 + ((-385)\/(-70) - (-182)\/(-20))\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbmmm. What is prob of sequence bm?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/16 + -2 + 1 and 3 + 300\/8 + -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (240\/(-25))\/(4\/(-10)). Is (-52 - r)\/(1\/(-17)) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 7. What is the common denominator of c\/12 + 271\/48 and 14*(-11)\/(-40)*-1?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -7\/60*g**5 + 0*g + 1\/3*g**4 + 0 + 5*g**2 - 1\/120*g**6 - 2\/3*g**3. What is the units digit of d(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -265 - -253. Let b = -12.6 + 1.6. Let i = v - b. Put 16, i, -0.1 in ascending order.\nAnswer: i, -0.1, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from -245801040287.\nAnswer: -245801040287.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 416896 + 5233104. What is g rounded to the nearest 100000?\nAnswer: 5700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14716.7 + 14717. Let l = -2.1 + 2. What is the second smallest value in u, l, 2\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c**3 + 589*c**2 - 1358*c + 4. Give d(194).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 5*q. Let g(c) = c + 1. Let b(w) = 3*w**2 + 15*w + 15. Let l(p) = b(p) - 15*g(p). What is l(d(m))?\nAnswer: 75*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 5*o - 21 = 0, 0*r + o + 10 = 5*r. Let g be (-16)\/(-6)*(-24)\/(-16). Suppose -g*z + 11 = -5. Sort r, z, -1 in descending order.\nAnswer: z, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b8d50 - -5?\nAnswer: -b8d49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + i + 0)*(2 - 3 + 2) + 0 - 2*i + 0)*(2*i**3 - i**3 + 0*i**3) to p*i + b + g*i**4 + j*i**3 + x*i**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -81 + 5?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/19 in 0.06, 0.2, -2\/17?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u + 18 = 3*u + 3*f, 3*u + f = 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 20, 0*j = -5*q - 3*j + 1300. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + 3. Let l = 15 - 15. Suppose 2*w = -l*w - 8, 2*z - 68 = 2*w. Calculate the highest common divisor of p and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-47 + -211)*(-24 - -21)\/(-18)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59 - 59. Let m be s\/(2*3\/(-2)). Solve -o + m*p + 2*p = 0, 2*o = 2*p - 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 358763 to the nearest integer?\nAnswer: 599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/4 + 24\/32. Let u(b) = -b**2 + 0*b**m - 2 + 4 - 3. Let k be u(5). What is k rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5*y + 18 + 2, y = -2*q - 29. Let l = -11 - q. Factor -2*v**2 - 2*v + l*v + 2 - 2*v.\nAnswer: -2*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (5 + -2 + 2) - -4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(19\/38)\/(1\/(-6)). Let y(v) = -v**3 + v**2 + 5*v - 4. Determine y(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 188781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 44560 divided by 10\nAnswer: 4456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 180137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = p + 3*i - 3, -p - 14 = -3*i. Suppose 0*g + 8 = 2*g. Let h be 15\/(-2)*g\/(-6). Solve -h*y - p = 24 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 45, 90, 147, 216, 297, 390?\nAnswer: 495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - x - 8. Let c be t(-6). Is (c\/2 + -2)\/1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -8*l**3 + l**2 - 2*l - 2. Let h be q(-1). Let p be 3\/(-1)*(-15)\/h. Solve -2*s + 3 = p for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 0 = t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 7:20 AM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27661488 is divided by 26.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -810453*i + 810441*i + 24 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 28 - 8829*z - 2*z**2 + 8982*z - 13 as o + d*z + l*z**2 and give d.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -25*i + 28*i - 4, 17 = 5*i - 2*p. Let w be (i - (-4)\/1) + -3. Let y be 0 + 1 - 1\/(-1). Solve -5*h + 17 = -w*k, h - 11 - y = -4*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 26*q + 112. Find the second derivative of 2*v**4 + 8*v**4 - 4*v**5 - 19*v**q - 41*v wrt v.\nAnswer: -80*v**3 - 108*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30.4 + 30.362. Let g = k - 46.962. Which is the smallest value? (a) 5 (b) -0.4 (c) g (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 + 17. Let p be (0 - k) + (-2 - 0). Let m = 11 - 4. Solve 5 = p*l - m*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 1:23 PM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((450\/(-8))\/(-5)*118\/(-295))\/(132\/80)?\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -4*v**3\/3 - 12*v**2 + 4*v\/3 + 12 = 0.\nAnswer: -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 45*q - 14 = -40*q, 2*q + 4 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 39, 60, 81, 102, 123?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 320 is divided by 91.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -15231*c - 10341879. What is d(-679)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38186355 is divided by 3692.\nAnswer: 3691","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 7*q**2 - 13*q - 3. Let n be t(-4). Does 2 divide (n\/(-1)*1)\/(41\/(-779))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10991*c**2 - 20*c**6 + 136760*c - 273528*c + 136768*c - 157*c**3 wrt c.\nAnswer: -2400*c**3 - 942","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -78\/35, 4, -34 in decreasing order.\nAnswer: 4, 0.4, -78\/35, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.9047um to millimeters.\nAnswer: 0.0279047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -9*t - 21. Let x be y(-5). Let h(v) = -2*v - 19*v**3 - 12*v**3 - 3*v**3 - 12*v**2 + x*v**3. Let n(i) = i**3 + i**2. What is h(l) + 12*n(l)?\nAnswer: 2*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let n be 6*((-10)\/(-6) + -1). Suppose w + 0 = 2. Let q(l) = l - 9*l + l**w + 4*l - 3. What is q(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -1 (b) 3\/8 (c) 0 (d) -33 (e) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6705314 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/2 and 1*((-342)\/44)\/9?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1 - 3*i - 1 - 3*i - 5 wrt i.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.28 (b) 0.5 (c) -4\/3 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of 3*h**4\/4 - 2*h**3\/3 - h**2\/2 + 6. What is o(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 24 = -15. Let z be x - 3 - -2 - 2. Which is greater: z or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -167, -323, -471, -611, -743?\nAnswer: -867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*u - 4101 = 19*u + 3*q, 3*u = -3*q + 4107. What is the highest common factor of u and 108?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbfhbfhfuaffawa. Give prob of picking 1 a and 1 b.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21589 is divided by 150.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1554 = 116*c - 510 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.899779ml to litres.\nAnswer: 0.009899779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -3*c**2 - 3*c - 77. Give v(0).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002386986 to six dps.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*w + 158 = 233 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -17*x**2 - 24*x - 6. Let w(t) = -1. Let s(b) = -h(b) + 6*w(b). Find the second derivative of s(z) wrt z.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -92732 (c) -0.3 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 547745071 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1624 - 1624. Let n(o) be the third derivative of 0*o**3 + 0 + v*o**4 - 7\/60*o**5 + 5*o**2 - 1\/15*o**6 + 0*o. What is the third derivative of n(t) wrt t?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 4*g - 12 = 0. Is (446\/(-8))\/(g\/12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232409815 is divided by 7497090.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 114015?\nAnswer: -114010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27164299 or 27164298?\nAnswer: 27164298","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*l + 28 = g - 17, 13 = -3*g - 2*l for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - 29 - (-7 + -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 69608 rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89033 is divided by 3070?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 36*t**3 + t**2 - 5*t + 3. Let f(b) = -67*b**3 - 2*b**2 + 9*b - 6. What is 4*f(k) + 7*u(k)?\nAnswer: -16*k**3 - k**2 + k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (0 - -7 - (-53 - -49)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-21)\/12)\/((-6)\/48). Suppose 0 = 3*y - z - 1, 2*l = 4*y - 10. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 469 + 4016. Suppose -8*x + g = -851. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (26\/(-78))\/((-2)\/(-12)). Sort 0, f, 4, -3 in ascending order.\nAnswer: -3, f, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.71 - 0.885. What is u rounded to 2 dps?\nAnswer: 0.83","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, 74, -2\/451 in ascending order.\nAnswer: -4\/7, -2\/451, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2 + sqrt(2)*1)**2 - (sqrt(18) + 0)) + 4)*4.\nAnswer: -28*sqrt(2) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 1, 151.\nAnswer: 1, 19, 151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15208 + 28773. What is the ten thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 3:34 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -192987, -385974, -578961, -771948?\nAnswer: -964935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 18445316 divided by 1\nAnswer: 18445316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 865, 1719, 2551, 3355, 4125?\n\"Answer: -f**3 - 5*f**2 + 876*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yyyfyyyfyfy?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 7*k**3 + 13*k**3 - 23*k + 18*k - 7*k**3 in the form v*k**2 + z + q*k + o*k**3 and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -4. Calculate the lowest common multiple of (o\/6)\/((-6)\/(-135)) and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*m + 220 = -62*m. Let g be ((-50)\/m)\/(((-4)\/(-2))\/2). Solve 19 = 3*o + g*l, 0*o + 4*l - 22 = o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (44\/(-14))\/((-258)\/(-903))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight thirds of a millennium?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.9 + 1. Let v = -0.09 + 0.39. Let y = -0.15915 - -0.15915. What is the nearest to -2\/11 in k, v, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -402, -1447, -3250, -5811, -9130, -13207?\nAnswer: -18042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = o - 15. Suppose -o*b + b - 16 = -4*d, d + 14 = -b. List the prime factors of (-2)\/b - 59\/(-6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 770253 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 612 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 18 divided by -18\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*((-8)\/(-12) + 2 - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c**4 - 2*c**2 - 1 - 1558*c + 3*c**4 + 1543*c + c**4 + 2 - 4*c**3 in the form u*c**3 + o + m*c + j*c**2 + h*c**4 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 183*r + 27*r + 1210*r**2 - 211*r to y + u*r**2 + d*r and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 12:47 PM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*w + 10*w - 3120 = 0. Let f = w - -280. What is the remainder when 138 is divided by f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 28, 19\/4, -1, 0.34, -4, 0.2, 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.029 + 8.029. Let s = 8.00005 - j. What is s rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n - n - n - 5*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4659460?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 17*v. Let g(t) = 3*t. Calculate g(o(f)).\nAnswer: 51*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.03 + 3.03. Let r = 6.9 + -5. Let o = -2 + r. Which is smaller: o or v?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, h: 9, g: 1, v: 3, c: 4}. Give prob of sequence mccm.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.5, 3, 0.14, -4, 1.34, 12 in ascending order.\nAnswer: -4, -2, 0.14, 0.5, 1.34, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17\/32 + -681\/224. Calculate the common denominator of t and -21\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003869 to 4 decimal places.\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 3:19 AM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaz when three letters picked without replacement from zakzzzzka.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/6, 1\/2, -0.3.\nAnswer: -5\/6, -0.3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = w - 2*m, 0 = -4*w + 3*w + 4*m + 5. Suppose 0 = g - 4*h + 1 + w, 0 = 4*g - 5*h - 14. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -766 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5*(((2*sqrt(315) + sqrt(315))\/sqrt(7) + sqrt(180)\/sqrt(4)*4)\/((sqrt(324) - sqrt(324)*-1 - sqrt(324))\/sqrt(4)))**2.\nAnswer: -1261\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.049616656 to three decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 7:03 AM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 0*q + 20 = 0, -2*c + 62 = 2*q. Let u be 78\/c + (-4)\/2. Which is smaller: u or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**3 - h**3 + 0*h**3 + (0*h + h - 2*h)*(2*h**2 - 3*h**2 + 3*h**2))*(-3 - 4*h**2 + 3).\nAnswer: 4*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of 27*t**2\/2 + t - 12036. Let x(r) = -13*r. Calculate -3*l(s) - 5*x(s).\nAnswer: -16*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -1 + (16 + -11 - 1).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -6*i. Suppose 68*q - 26*q = 0. Let m(y) be the second derivative of 0*y**3 - y + 0*y**2 - 1\/12*y**4 + q. Give m(c(p)).\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -4*v**3 + 120*v**2 - 548*v - 672 = 0.\nAnswer: -1, 7, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7710.1 and -146.\nAnswer: 1125674.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 71.18 times -0.3\nAnswer: -21.354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6.8 and -6.\nAnswer: -40.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 63716881 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -4.7. Let j = b + 0.1. Let g = 58 + -63. What is the closest to 0 in j, g, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3886306?\nAnswer: 2, 997, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s**3 - 4*s**3 - 6*s + 11*s**2 - 9*s**2 - s**4 - s**3 - 1 to the form l*s**4 + p + v*s**2 + y*s**3 + n*s and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10944*0.1.\nAnswer: -1094.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2694 - -7164. Suppose 10*k = 5*k + 5*s + i, -1 = -s. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 404*f*h**3 + 156*f*h - 1343404333*f + 51*h**3 wrt h?\nAnswer: 1212*f*h**2 + 156*f + 153*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 71, -210, -677, -1324, -2145, -3134?\n\"Answer: s**3 - 99*s**2 + 9*s + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1*sqrt(245)*6 + sqrt(245)))**2 + (-1*sqrt(1080))\/(sqrt(36)\/sqrt(6)*-1).\nAnswer: 6*sqrt(5) + 432180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (36\/27)\/((-1)\/(-117)). Let a = g - -10. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of -59*k**7\/210 + k**5\/2 + 733*k**3 + 249*k**2 + 3. What is the derivative of r(x) wrt x?\nAnswer: -236*x**3 + 60*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 341 and 310.\nAnswer: 3410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-35 - 1) + 4 + -44 + 49.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 7182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-39)\/(-216))\/(1\/2). Let p = -10\/9 + g. Let z = 14.5 - 14.3. Put p, -3\/5, z in descending order.\nAnswer: z, -3\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b - 6. Let r(z) = -2*z + 6. Let g(p) = -3*r(p) - 2*t(p). Calculate g(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -43542*v - 75157.\nAnswer: -43542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.6 times -3.59?\nAnswer: 38.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 408 divided by 204.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in -0.2, -1.8, -110.96?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.07938 + 0.32062. What is the biggest value in 5, g, -555, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -134, 3, -2, 2 in decreasing order.\nAnswer: 3, 2, -2, -20, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -249 + -53. Suppose 0 = 3*l - 5*j - 78, 2*j - 130 = -4*l - 0*j. Calculate the common denominator of -3 - 1*c\/12 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**4 - 5*k**2 - 9 + 2*k**2 + 2*k**2 - 2*k in the form g*k + v + a*k**3 + p*k**2 + w*k**4 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(189)\/sqrt(3) - sqrt(7) - (-2 + sqrt(63))**2.\nAnswer: -67 + 14*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 146445\/105 - (-3)\/(-42)*-4 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*r**2 - 68*r**2 - 2*r**2 - 122*r**2 - 51*r**2 in the form t + c*r + a*r**2 and give a.\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 18570 to the nearest one thousand.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**2 + 2*z + 3. Let y(r) = -r + 1. Give -c(k) - 3*y(k).\nAnswer: 2*k**2 + k - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.23, -0.1231, 2, 3, -2\/21?\nAnswer: -0.1231","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 12*b - 12. Let u be (-30)\/9*(-120)\/(-50). Let k be h(u). Suppose -k*y + 4*y + 4560 = 0. Does 57 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 16, p: 4}. What is prob of sequence dpdp?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 2, -5454, -5 in decreasing order.\nAnswer: 5, 4, 2, -5, -5454","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 119 + -22. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-37 - 9 - 739*d + 741*d)*(2*d**2 - d**2 + 0*d**2) to t*d**2 + a*d + p*d**3 + m and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 502493732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 60670?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 655*p**3 - 2*p**2 - 22 wrt p?\nAnswer: 3930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37630495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 811394777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.18 + 0.1. Let u = i - 0.92. Suppose 12 + 2 = 4*n - 2*s, -2*s = -2*n + 6. What is the biggest value in u, -0.4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -642*s*w**4 - 159*s*w**3 - 20*s*w**2 - s*w + s + 2*w**4 - 16*w**3 + 1593*w**2 - w - 10 wrt w?\nAnswer: -15408*s*w - 954*s + 48*w - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/17 + 29\/102. Let d = 65.7 - 65. Let p = d + -1.7. Sort 0.2, p, u.\nAnswer: p, u, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j + 3. Let r be v(5). Let h(c) = c**2 - c - 1. Is h(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**5\/9 - 14*o**4\/9 - 10*o**3\/9 + 74*o**2\/3 - 40*o = 0. What is o?\nAnswer: -4, 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v\/(v**(1\/14)\/v))*v*v*v*v**(4\/9)\/v)\/((v\/(v*v**9))\/(v*v**(2\/15)*v*v)) assuming v is positive.\nAnswer: v**(9229\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2923, -5843, -8763, -11683, -14603, -17523?\n\"Answer: -2920*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -112*c + 1365. Calculate i(12).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f - 17*z + 12*z - 10, 0 = -2*z - 8 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**5\/3 - 86*f**4\/3 + 56*f**3 + 2*f**2\/3 - 169*f\/3 + 28 = 0. What is f?\nAnswer: -1, 1, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*((-7)\/(-35))\/(18\/45). Solve w = 4*i - 3*i + 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - (7 + -8)) + 1\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -6*m - 2*u, -58 = 16*m - 17308*u + 17303*u for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeeeeeeeceeeeceee. Give prob of picking 1 c and 3 e.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from etzeuzettte. Give prob of sequence eu.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 131940 and 1668.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4*f = 7*h - 57, 29 = 3*h - 5*f. Let a = 7 + -2. Let i = 0 + a. What is the remainder when h is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 34712428 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168523357.\nAnswer: 1889, 89213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 699103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4683.45248 + 0.14752. Round t to the nearest 100.\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 4, 2, -31, 32 in increasing order.\nAnswer: -31, -6, 2, 4, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(3*sqrt(156) - sqrt(156)) + (sqrt(156) - 6*(sqrt(156)*-2 + sqrt(156))))\/((sqrt(1200) + sqrt(1200) + sqrt(1200)*-1 + sqrt(1200))\/sqrt(4)*3).\nAnswer: 19*sqrt(13)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 26 = -8. What is the least common multiple of 48 and p?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + 20. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2 = 4*u, 5*i - 4 = 3*u + 4*i. Let w be 2*u\/3 + 10\/9. Which is the second biggest value? (a) w (b) 0.2 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 12*x + 16. Let v be a(11). Suppose -115 = -2*k + v*r, 2*k + 5*r - 80 - 85 = 0. Let o = -351\/5 + k. Sort o, -1, -2.\nAnswer: -2, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by -2095571?\nAnswer: 11\/2095571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/7 - 2210*n\/7 - 262596.\nAnswer: 2*(n - 1659)*(n + 554)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 18*j**2 - 21*j + 7. Let y be r(-19). Let u(z) = 10*z - y + 18 + 26. Give u(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*(154\/32)\/7. Let z = 39\/40 + f. Let l = 0.119 + -4.119. Is z < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*p**4 - 56882*p**3 - 111258*p**2 - 42 wrt p.\nAnswer: -600*p - 341292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 10:22 AM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -j**4\/36 - 2*j. Let n(v) = 0. What is v?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of v**6\/120 - v**5\/60 - v**4\/12 - v**3\/2 - 6*v**2 + 3. Let u(r) be the second derivative of f(r). Give u(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6934 + 6863 + (-16 - -3 - (1 - -1))\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -846.2 - 2.589\nAnswer: -848.789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 367 + -1147?\nAnswer: -780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 880, 1747, 2614, 3481?\nAnswer: 4348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25717011 and 341?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -11*j**3 + 24*j**2 + 2*j - 65. Let y be r(-7). Calculate the greatest common factor of 50 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (560\/(-1064))\/((-75)\/(-15) + -3)\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = r + 28, -5*m - 3*r = 2*r + 35. Let n = -5 - m. Suppose n*z - 488 = -4*b - 3*z, 4*b + z = 504. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - l + 30. Let z(t) = 4*t**2 - 39*t - 10. Let r be z(10). What is v(r)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 282025*h**3 - 8528*h**2.\nAnswer: 1692150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 82*x**4 + 64*x**4 - 180*x**4 - 11*x**2 - 2 to l*x + g*x**2 + a*x**3 + z + t*x**4 and give g.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - y - 1. Let p(x) = -6*x**2 + 15*x**2 + 19 - 4 + 15*x. Let c(a) = -60*m(a) - 4*p(a). Let t(d) = -d. Give c(t(j)).\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of d**6\/360 - 3*d**5\/40 + d**4 + 4*d**3\/3 - 8. Let l(z) be the third derivative of g(z). Let y be l(5). Solve 3 - y = x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-4 + 1*(sqrt(78)\/sqrt(6) + -1) + -3)*-2)**2.\nAnswer: -256*sqrt(13) + 1232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*o - 26 - 10. Let w be -7*(3 + o)\/(14\/12). Let a be (-1)\/((-3)\/2 + 1). Solve -2*p - 6 = -2*i, 0 = a*p - p - 4*i + w for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -61 - 29. Suppose 6*t = 330 + 1590. Calculate the remainder when t is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 667806115 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -329*h - 10. What is the units digit of w(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 1016176.\nAnswer: 5\/1016176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -6*v - 39. Let b be l(-7). Suppose 5*m + 3*a + 12 = 0, -3*m - 18 = 5*a + 2. Solve 2*p + b*p - 5 = m, 4*p = -3*i - 5 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 57159*v. Let x be t(-5). Let p = x + 689775. Suppose 0 = -4*n + 4*i + p, -5*n + 0*i + 504985 = -3*i. Round n to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 10, -189, 1.2, -2\/1663, 1\/5?\nAnswer: -2\/1663","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2*p = -p - 7, -3*p = 3. Solve i = 3*o - 5*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 5:24 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h**3 - 3*h**2 + 9. Let b be i(-3). Let o = -12 + 19. Calculate the highest common divisor of o and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of h**7\/63 + 7*h**6\/180 + h**5\/45 + 21*h**2. Factor m(w).\nAnswer: 2*w**2*(w + 1)*(5*w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -193.6 + 193.4. Let s(r) = r**2 - 10*r - 15. Let l be s(11). Let q be (-1)\/(-4)*(-6 - l). What is the closest to u in 3, q, -3\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + n. Let t(q) = -10*q**2 - 11*q - 7. Let z(u) = 4*f(u) + t(u). Let j(m) = -5*m**2 - 6*m - 6. Determine -7*j(r) + 6*z(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (62\/(-44))\/(1\/2) - -3.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-3 + (-2*sqrt(2448))**2 + 1 + (0 + sqrt(2448))**2 + sqrt(2448))*-1 + 1 + -5.\nAnswer: -12239 - 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 68*n**2 - 3*n. Let m(f) = 12851*f**2 - 568*f. Let p be (-110)\/44 + (-2)\/4. Let g(o) = p*m(o) + 568*s(o). Let h(x) = -x. What is h(g(y))?\nAnswer: -71*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -53 - -77. Let k = 40 - z. What is the least common multiple of (-2)\/8 + (-264)\/(-32) and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 61 - 304\/5. Let m = 3 + 0.2. Let d = 0.2 - m. What is the second smallest value in d, -0.3, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {f: 4, j: 6}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((35\/(-28))\/((-2)\/(-8)))\/(14\/7).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence po when two letters picked without replacement from hpqbhzohoboboph.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -38250 divided by 6\nAnswer: -6375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence suk when three letters picked without replacement from yaskaauaas.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/120744 and 103\/7224?\nAnswer: 845208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -5*z - 89, -2*z + 20 = -7*z. Suppose 2*f - 5*k - 31 = 0, -3*f - 3*k + 44 = -8*k. What is the remainder when j is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j\/(j**(-15)*j)))\/j*j)**(-5)\/(j**(1\/22)\/j**(10\/7)))**(2\/31) assuming j is positive.\nAnswer: j**(10993\/2387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -711 and 22.723?\nAnswer: -16156.053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, -0.22, -2\/23 in decreasing order.\nAnswer: -2\/23, -0.22, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 322.6 + -323. What is the fourth biggest value in 0.3, 13, r, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 18 = 5. Let g = 13 + d. Calculate the remainder when (g\/(-25))\/(2\/40) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1386 and (-59280)\/(-55) + (-160)\/(-880)?\nAnswer: 9702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-8) - 20\/(-480). What is the third smallest value in -4, n, -0.2, 79?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 18*m**2 - 254*m - 1740. Calculate r(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-2) - 1)*5\/(-2). What is the nearest to 1 in 3, 1, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of t**4\/2 + 349*t**2\/2 - 2092*t - 103. Differentiate n(l) wrt l.\nAnswer: 6*l**2 + 349","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*x - 611*x = 408*x - 8715 - 1053 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 33\/(-30)*4*-5. Suppose 5*g - a = 7*g. Let m be 10\/(-55) + (-24)\/g. Solve p = -p + m for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 183903\/21 + (-4)\/14. Let c = 2243 + j. Round c to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7845?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 358*r**2 - 1067*r**2 + 365*r**2 + 352*r**2.\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -866*i**3 - 878*i**3 + 1734*i**3.\nAnswer: -10*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 5348, -2, -6.\nAnswer: -6, -5, -2, 1, 5348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3 - 7935*i**2 - 15752952*i - 47187468.\nAnswer: -(i + 3)*(i + 3966)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 59778*t**2. Let f(q) = 10*q**2. Calculate m(f(o)).\nAnswer: 5977800*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*l = -6*p + 23, -2*l - 8 = 0. Solve x + 2 = p*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 19 = -2*v + 2, -2*v = 3*m + 3. Let g = 32 - 12. Solve v*x + x = -g for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7076.\nAnswer: 2, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 81 + -39. Calculate the common denominator of -61\/4 and 2\/1 - 1057\/u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 681.954687 + -693.7544. Let s = a + 11.8. What is s rounded to five dps?\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11100000111000100011 (base 2) in base 5?\nAnswer: 213433443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -434276, -434331, -434386, -434441, -434496, -434551?\nAnswer: -434606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (130 - 133) + (0 - (-3 - -1)) + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -244.013*38.\nAnswer: -9272.494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 570 and 456?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3122\/(-4237))\/((-2)\/19). Let r = 354 + -203. Suppose -25 = 2*w - r. Calculate the greatest common factor of w and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -736 + 1043. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1232059, 2463642, 3695225?\n\"Answer: 1231583*k + 476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1505210904 and 8.\nAnswer: 1505210904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -f**3\/3 + 5*f**2\/2 + 8*f - 3233. Calculate p(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/7, 4\/5, -3\/2, -2\/11, 0.06?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -874.5? (a) 5 (b) -89 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + c - 4. Suppose 0 = 4*g - 0 + 12. What is the units digit of d(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1570 + -1570.4. Which is the third smallest value? (a) -2\/3 (b) -1 (c) 0.4 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 693*j**2 + 17 - 4 - 13.\nAnswer: 693*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 18*o + 59. Let u be k(-14). Suppose -u*n = -3584 - 373. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 58*i**3 - 3 + 66*i**3 + i + 4*i in the form u*i**3 + l*i**2 + z*i + w and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35643277, 35643276, 35643275, 35643274, 35643273, 35643272?\nAnswer: 35643271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 6 = -3*y, -3*x + 2 + 4 = 3*y. Let g be 4\/(-12)*(-1 + y + -7). Factor -2\/3*o**4 - 2*o**3 - g*o + 0 - 2*o**2.\nAnswer: -2*o*(o + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5251 (base 13) in base 16?\nAnswer: -2c7d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 14, -109, -527?\nAnswer: -109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - (-6 - -2) - 0. Suppose -3*f - 1 + 7 = 0. Let i be 18\/52 - 1\/f. What is the second smallest value in 0.4, t, i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1271 + 2207 - 574 = -174*g - 1968 for g.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*4\/12*2.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 200\/30*((-126)\/7)\/((-15)\/(-2))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -448300 to the nearest 10000.\nAnswer: -450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y**(1\/3)*y*y)*y*y**(-2)*(y**3*y)\/y**(-2\/11) assuming y is positive.\nAnswer: y**(61\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -638, -602, -524, -392, -194, 82?\nAnswer: 448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 448, 446, 444, 442?\n\"Answer: -2*h + 450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v = 4*v + 560. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -187952 times -4893?\nAnswer: 919649136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 272.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32474 by 5.\nAnswer: 32474\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -1509\nAnswer: -452.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 308388865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -4*u**2 + 297*u - 607. Let j(d) = d**2 - 77*d + 152. Let l(m) = -4*a(m) - 15*j(m). Calculate l(28).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 8, -4*v + 64 = 4*r - 0*v. What is the lowest common multiple of r and 18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7411 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: Let l(m) = 2*m + 4. Let z(a) = -3*a + 2585 - 5169 + 2581. What is -2*l(x) - 3*z(x)?\nAnswer: 5*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 574*w**2. Let s(b) = -2*b**2 + 18*b - 17. What is s(z(v))?\nAnswer: -658952*v**4 + 10332*v**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + b - 10*a = -5*b + 5*b + 4*a + 111, 8*a = 3*b - 67 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 20 = 3*n. Suppose -2*a = 3*q + 22 - 63, -15 = -n*q. What is the greatest common divisor of 4 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of u**3\/6 + u**2\/2 - 2*u. Let k(c) = -c - 4 - 3 - 6*c + 3*c. Calculate -k(w) - 6*r(w).\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/6*(81\/(-9) - -4). Put -2\/5, 2\/15, r in ascending order.\nAnswer: -2\/5, 2\/15, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -6*k**3 + 1520*k**2 + 1045*k - 7371. What is n(254)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000053317217 rounded to seven dps?\nAnswer: 0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6781, 6818, 6903, 7060, 7313, 7686, 8203, 8888?\nAnswer: 9765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i + 47 - 135 = 0. Let y(s) = -3*s**3 + s**2 + 1. Let h be y(-2). Let o = h - i. Is 13 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 10*v - 69. Calculate the remainder when v*(-10)\/15*138\/(-8) is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6851436 by 4.\nAnswer: -1712859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.54 - -0.64. Suppose -r + 2 + 4 = 5*h, 0 = -4*r - 2*h + 6. Let f = -4 + 2. Which is the closest to 1? (a) r (b) t (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -26 + 15 - 4*a**2 - 2*a - 34 wrt a?\nAnswer: -8*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -377*i**6 - 2*i**3*j**2 + 14*i**2*j**2 - 10*i**2*j + i wrt i.\nAnswer: -45240*i**3 - 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -27\/20 or 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 872 - 803 = 3*v. Solve -75 = v*w - 38*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3*800\/(-135))\/(690\/(-2484))\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.1 + 4. Let l be ((-4)\/6)\/(1\/3). Is n smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*m + 5*n, 0*m = -3*m - 3*n. List the prime factors of (1 - 8)\/(m - -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7649, -7648, -7647, -7646, -7645, -7644?\n\"Answer: r - 7650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*v**2 + 3*v**2 + 4*v**2 + 5*v**3)*((3*v + 2*v - v)*(2*v + v - v) + 0*v + v**2 + v**2 - 2*v).\nAnswer: 50*v**5 + 140*v**4 - 30*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 441?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lubyllkljlkykul. Give prob of sequence byu.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 4 + 1)*(-5*y + 8*y + y).\nAnswer: 16*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-2*(sqrt(170) + sqrt(170)*1 - sqrt(170)) - sqrt(170))\/(sqrt(10) + 5*sqrt(40)\/sqrt(4) + sqrt(10) + sqrt(10)))*-2*-1.\nAnswer: -3*sqrt(17)\/4 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 252511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6627)\/6768 - 3\/144?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**(-1\/4)*j))**(-2\/17)\/((j**(-6)*j)\/j**6))**(4\/17) assuming j is positive.\nAnswer: j**(754\/289)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/(-4))\/(-3)*-2. Suppose -28 = 6*l - 2*l - 4*k, 31 = -3*l + 5*k. Is r\/l - (-465)\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -137. Let m = l + -58. Let a = m - 79.051. What is a rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 2*f + 5*f)*(8 + 3 + 3)*(1 + 0 - 2)*(2 - 3 + 3).\nAnswer: -168*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 373*i - 90*i + 286*i + 29019 for i.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*h + 23 - 4 - 1. Let b(a) = -a**2 - 9*a - 8. Give b(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 332*n + 469*n - 807*n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1054.25 rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2 + sqrt(5)*2 + 0 + 5)**2 + (3*(((1 + sqrt(320))*-1 - sqrt(320)) + -1))**2.\nAnswer: 608*sqrt(5) + 11640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*z + 184 = -657 - 589 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -25*u**2\/8 + 1419*u\/8 + 171\/4 = 0.\nAnswer: -6\/25, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 10\/9 of a day?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-920)\/552)\/(1 - 13\/18)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.027 + -0.047. Let d = 787 - 787.374. Let f = d - y. What is the fourth biggest value in f, 1, -3\/4, -0.11?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 644*q**2 - 146334*q + 140*q**4 + 146334*q + 82*q**4 wrt q.\nAnswer: 5328*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 - 11961*l + 335687. Give h(28).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000031 rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -16*b - 16. Suppose 33*o - 5*r + 15 = 31*o, -5*r = -3*o - 20. What is n(o)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/4951 and -103\/12.\nAnswer: 59412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 0*x = 0. Suppose x = -3*w + 3*q, -q + 20 = -w - 4*q. Let p(s) = -s - 6. Give p(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*a - 2667*a + 1 - 351*a - 3.\nAnswer: -2927*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrrr when four letters picked without replacement from {r: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -69*f**2\/5 - 17862*f\/5 + 2331\/5 = 0.\nAnswer: -259, 3\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n. Let v be -2 + 1*(-12)\/(-3). Let g(l) = -3*l**2 - 2*l**2 - l**v + 5*l**2. Give z(g(s)).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 29*q**2 + 131*q + 182. What is the hundreds digit of h(-36)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 89 and 1513?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 7. Suppose 4*t - 4 = -a - 8, g*t - 16 = -5*a. Let s be 154\/56 - (-3)\/(-4). What is the biggest value in 5, s, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3432)\/(-182) - -5*36\/(-210). Let 2\/3*l**2 + 0 + d*l = 0. Calculate l.\nAnswer: -27, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -31*x**2\/5 - 136986*x\/5 + 384776.\nAnswer: -(x - 14)*(31*x + 137420)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - t + 1. Let u = -1 - -11. Let i be 5\/(u\/12) + 0. Let c(h) = 4*h**2 + 6*h - 6. Let v(o) = i*r(o) + c(o). Let a(w) = -3*w. What is a(v(s))?\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4669 + -3282. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/60 and 23\/75?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + (-1)\/3 + (-14 - -12). Let w = -915 - -1033. Do w and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(500)*2*3 - (sqrt(500) + 1)*-4)**2 + ((-5 + (sqrt(500) - (sqrt(500)*-2 + sqrt(500))))**2 - ((-1 + sqrt(500) - sqrt(500)) + 5 - sqrt(500)))).\nAnswer: 1830*sqrt(5) + 156111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 2*m + 4 = 0, -5*r + m - 12 = 3*m for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 9*l - 8. Let v(g) = -7*g + 7 - 5*g + 4*g + 0*g. Let p(w) = 5*h(w) + 6*v(w). Differentiate p(s) with respect to s.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -123 (c) -453\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 6*y - 69. Calculate x(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38710379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 91826, 367687, 827456, 1471133?\nAnswer: 2298718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 27888?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -191, -233, -21, 445?\nAnswer: 1165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-2))\/((2 - 5) + 2)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 31*n - 14. Determine d(5).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 + 2 - 9*k - 9*k + 21*k - 2*k. Let n be w(-2). Solve 0 = n*m + m - 25 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -5.4. Let j = 0.9 - s. Suppose 0 = b - 5*o + 1, -6*b = -2*b - 3*o + 4. Sort b, -1\/5, j in increasing order.\nAnswer: b, -1\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -33, -40, -51, -66?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2931 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -338.62482*-0.2\nAnswer: 67.724964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130282*o = 130255*o + 378 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 7*s + 10. Let q be y(8). Suppose 2*t = -5*a + 40, q*a - 3*a + 14 = t. Calculate the greatest common factor of t and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**5 - 2*z**5 + 7*z**5 + (-3 + 3 + 1)*(-2*z**5 + 3*z**5 - 2*z**5) - 8*z**5 + 0*z**5 + 3*z**5.\nAnswer: z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1350)\/3375)\/(6\/(-4)*1)?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -7*n. Let m(s) = n*s - s**2 + 0*s + 2*s + 3 + 0*s**2. Let x be m(0). Put x, 4, -4 in ascending order.\nAnswer: -4, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 620630461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/12*(-2)\/((-40)\/15).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1623 + 0.0623. Which is the second biggest value? (a) 2 (b) m (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 642023.3 - 642292.2981. Let c = p + -0.0019. Which is greater: c or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -8*n**3\/3 - 66. Let i(b) = -5*b. Determine g(i(z)).\nAnswer: -200*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 3*y - 124, 16*l = 13*l + 2*y + 92. Suppose -105 = -l*o + 7*o. Solve 2*p - 16 = 3*a - 6*a, 0 = 4*a + o*p - 33 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -86047 - -5162881\/60. Find the common denominator of l and 47*((-1)\/6)\/1.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5368037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkhhhkhcch. Give prob of picking 1 k and 1 h.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 4. Let z(q) = -4*q**3 - 9*q**2 + 47*q - 4. Let x be z(-5). Which is the nearest to m? (a) -0.4 (b) x (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-14))\/t**(1\/18))\/((t**(1\/6)\/t)\/(t*t**12*t)) assuming t is positive.\nAnswer: t**(16\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4144*c**2 - 7283*c**2 + 4797*c**2)*(1 + 0 + 1)*(4 + 2 - 5)*(1 - 2 + 2).\nAnswer: 3316*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 208934 plus 0.6?\nAnswer: 208934.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -8*o**2 - 165*o + 26. Let i(p) = 2*p**2 + 42*p - 6. Give -26*i(b) - 6*r(b).\nAnswer: -4*b**2 - 102*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4\/3, -7.01, 3, 2\/5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1980244 and 197.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8588*w**3 - 40*w**2 - 73?\nAnswer: 51528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 363*y - 361*y - 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*k + z = -161, 2*k + 2*z = 118. Let a = 52 - k. What are the prime factors of a\/4 - (6 - 251\/4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15)\/5 + 25\/5. Suppose -4*l - j*v = 3*v - 570, -l + 4*v = -132. Does 10 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -1, -873, -4.\nAnswer: -873, -9, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*g*r**3 - g*r*t + g*r - 5*g + 202*r**3 + 2*r**2*t - r*t - 78*t wrt r?\nAnswer: 84*g*r + 1212*r + 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2*f + 10 = 0, -2*x - f - 11 = 2*f. Let i = 1.37 + -1.3. Which is the closest to x? (a) -2 (b) -0.5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 173 = -5*w, -140 = -4*p + 2*w + 30. Calculate the smallest common multiple of p and 30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 k when two letters picked without replacement from {q: 10, u: 1, a: 3, k: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -479*d**3 + 120 wrt d.\nAnswer: -1437*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8995784 is divided by 612.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 5*k**2 + 7*k - 6. Let y be j(4). Suppose 21*d - 23*d - 12 = 0. Let h = d + y. Solve h = 3*z - 1 + 10 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = 7*t + 4*n - 132, -4*t = -4*n + 528. Let d = 191 + t. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -g**5\/30 + g**4\/12 + 11*g**3\/3 - g**2 - 59. Let o(z) be the third derivative of m(z). Suppose 0*i - 4 = -i. Determine o(i).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105 to the power of 1\/2, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16*((-4158)\/(-168) + -24).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 13) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 24*i - 32. Let r be j(9). Suppose -13*k + 11*k + r = 0. What are the prime factors of k?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -19. Suppose -442 = -w*d + 322. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1112 - 100012110?\nAnswer: -100010221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + (6\/(-15) - 3). Let h = 48 - 51. Let t be 26\/42 - (-14)\/147*h. Which is the second smallest value? (a) l (b) -0.5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40\/7 - -59\/14. Let d = 16 - 15. What is the second smallest value in 5, d, w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17735581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -1. Solve -2*g - 6 - 2 = t for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64 and 1168?\nAnswer: 4672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4527804 and 5419104?\nAnswer: 688226208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 239215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 122*z**2. Let r(m) = -16*m - 1. Give q(r(i)).\nAnswer: 31232*i**2 + 3904*i + 122","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of a**4\/18 + a**3\/9 + 8*a. Let y(p) = 0. What is p?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36 - 31. Solve x - 2*x + 5*b - 11 = 0, 0 = y*b - 15 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -161024, -161020, -161020, -161024, -161032?\n\"Answer: -2*v**2 + 10*v - 161032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 8 (c) -2.6 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of o**4\/3 + 13*o**3\/6 + 2*o**2 + 13*o. Is k(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 537 + -534. Which is the closest to w? (a) -5 (b) -25 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 557740 and 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lruylufuymyyfmfffyy. What is prob of sequence mfyu?\nAnswer: 5\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101211021000 - 112?\nAnswer: 101211020111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.24 + 1.76. Let m = x - 1.8. What is the third biggest value in m, 1.8, 1\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 6 + 1)*(-3*d - 7*d + 3*d)*(1 - 3 + 7) to i*d + j and give i.\nAnswer: 385","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 638 is divided by 239.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 0.01 (c) -2 (d) -0.823 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 89*q**2. Let l(o) = -3*o**2. Calculate l(v(n)).\nAnswer: -23763*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 40 - (-7 + -13) - (-12 - -3)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (76*h**2 - 68*h**2 - 218*h**2)*(h + 0 + 0 + 2*h + 0 + 0 + (-2*h + h - h)*(-2 - 3 + 4) - 2 - 2 + 2 - h + 6*h + 17*h + 5*h).\nAnswer: -6720*h**3 + 420*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0512 and -33.629.\nAnswer: -33.5778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13943603.\nAnswer: 13943603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 39 (b) 0 (c) 2\/9 (d) 27 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 76 (b) 2\/11 (c) 4\/9 (d) 0 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(-10\/3)*h)*(h*h*h\/(h\/(h**(-1\/7)\/h))*h*h)\/h)**(-19))**49 assuming h is positive.\nAnswer: h**(-14497\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 6*f - 3. Let v be i(-6). What is the tens digit of (-4 - 14\/v)*777\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s**2 + 6*s - 6. Let f be u(4). Let o be 100929\/f - 1\/(-5). Let n = o - -3357. What is the common denominator of 77\/18 and n?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uui when three letters picked without replacement from iuiuuu.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 414*d + 305*d - 1008*d + 0 + 0 - 2*d + (-2 + 4 + 0)*(3*d + d - 5*d).\nAnswer: -293*d - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**4\/3 + 1730*g**3\/3 - 55315*g**2 + 2819900*g\/3 - 13284500\/3.\nAnswer: -5*(g - 163)**2*(g - 10)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -79 - -79.76. Let v = 0.76 - w. Which is the closest to -2? (a) -19 (b) -1\/2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49 - -97. Suppose -u + 32 = 3*u + c, -3*c - r = -4*u. Let j(f) = -f**2 + 9*f - 2. Let q be j(u). Put -1, -4, q in decreasing order.\nAnswer: -1, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-23*g + 6*g - 6*g)*(3*g - 5*g + 0*g + (3 - 3 - 17*g)*(2 + 1 - 5))*(-5*g + 0*g + 3*g) to b + x*g**3 + j*g + f*g**2 and give x.\nAnswer: 1472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -a - 16. Suppose a = 4*v - 5*q, -q - 10 + 7 = 0. Let p = 0.2 - 2.2. What is the closest to v in p, 3, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/28)\/(21\/(-3150)*25)*(-143)\/39?\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, s: 1, x: 3, b: 3, m: 5, o: 1}. What is prob of picking 1 b, 1 s, and 2 m?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 5*s + 30. Let k = -4 - s. Let q(v) = 2*v + 2. Let a be q(k). What is the greatest common factor of 24 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(363) + -4*sqrt(363))*-3 + 5 + 3*6*(4 + sqrt(363)))**2.\nAnswer: -1352780 - 228690*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31.49 - 31. Let n = -5.11 - m. Let k = n - -2.6. Sort 0.4, k, 0.3 in ascending order.\nAnswer: k, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -13*h + 42. Suppose h*u = 9*u - 48. Suppose -18*m + u*m = -10. Solve -m*o + 6 = -2*z - 3, 5*o = -3*z + 24 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -162 (b) 2\/7 (c) 9712\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cmrwccrmrcw. Give prob of sequence mcw.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -10. Let l be (-76)\/(-4) - 2\/1. Solve g*k = l - 2 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 12*h**2 - 8*h + 5. Let x(b) = b**2 - b + 1. Calculate g(v) - 6*x(v).\nAnswer: 6*v**2 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 125403889?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1)*k*k*(k*k**(3\/4)*k)\/k*k*k*k*(k\/(k**(2\/9)\/k))**(-19) assuming k is positive.\nAnswer: k**(-1009\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -73, -2, 0, -1, 33, 26 in decreasing order.\nAnswer: 33, 26, 0, -1, -2, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1886603\/5 + -378883. Let n be (-42)\/((-219)\/(-225) - 1). Let j = f + n. What is the common denominator of j and 35\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -76916.000032873 + 76916. What is t rounded to 7 decimal places?\nAnswer: -0.0000329","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 + (34 - 14) - -16\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 2*q**2 + q + 2. Let i = -8 - -5. Let l be v(i). Suppose l*p = 3*p + 40. What is the highest common divisor of p and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -1.3 (c) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1141, 1142, 1143, 1144, 1145?\n\"Answer: f + 1140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 3:25 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 180?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-10) - (-15 - (-2112)\/110).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r - 7. Let f(g) = 2*g - 7. Determine 5*f(o) - 4*w(o).\nAnswer: 2*o - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/12 - -1) + 0. Which is the closest to 1\/3? (a) -5 (b) -3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z = -4*z + 300. Let n = z - -70. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 32*r**3 + 2*r**2 + r + 22*r**3 + 48*r**3 - 6*r**2. Is l(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -966, -3586, -7960, -14094, -21994, -31666, -43116?\n\"Answer: -n**3 - 871*n**2 - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 3:04 PM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -6*p**3 + 7*p**2 + 8*p - 6. Let a(o) = 11*o**3 - 13*o**2 - 20*o + 14. Calculate 2*a(c) + 5*u(c).\nAnswer: -8*c**3 + 9*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 27518 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7378040*f**3*y**3 - 64*f**2*y**3 - 21*f**2*y**2 - f*y**3 + y**3 + 75*y**2 wrt f.\nAnswer: -44268240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 8, 37 in descending order.\nAnswer: 37, 8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2549*o**3 - 99*o**2 + 20*o + 25. Let h(g) = 2550*g**3 - 100*g**2 + 16*g + 23. Let u(p) = -5*h(p) + 4*v(p). Find the third derivative of u(t) wrt t.\nAnswer: -15324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*b**2*o**2 - 68*b**2*o - 5*b**2 - 3455*b*o**2 wrt b.\nAnswer: -8*o**2 - 136*o - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 83*t**3\/3 + 101. Let m(d) = 4*d**2. Give m(s(c)).\nAnswer: 27556*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 4:48 AM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/(-63)*81\/126.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + -5 + 1 + 9. Let a(f) = -f**3 + 7*f**2 - 1. Let w be a(n). Let m be w + 4 - 2\/1. Sort -1, -5, m.\nAnswer: -5, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 48 - 51. Let j(a) = -a**3 - 2*a**2 + 3*a + 5. Let x be j(k). Solve 25 = -0*t - x*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 153, 302, 451, 600, 749?\n\"Answer: 149*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 8*n**2 + n + 7. Let g(q) = 23*q**2 + 3*q + 20. Suppose 0 = -5*k + 1124 + 561. Suppose k*d = 335*d + 12. Calculate d*g(a) - 17*w(a).\nAnswer: 2*a**2 + a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 14\/(-6))*3. Let q(t) be the third derivative of -t**6\/720 + t**5\/24 - t**4\/6 - 8*t**2. Let o(y) be the second derivative of q(y). Determine o(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 134*i - 1448. Let s be y(11). Sort s, 1, 9.\nAnswer: 1, 9, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2912 + -17?\nAnswer: -2929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 76 = -19. List the prime factors of f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -3*r**2 + 19*r - 3. Let d be i(8). Let w = d - -45. Solve 2*b = -3*s + 14, w*b - 2 = 4*s - s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(72) + -1)*-2.\nAnswer: -12 + 72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 0*o = -21. Suppose -15 = -3*l - 5*s, -3*l + o*s = 2*s - 45. Is l a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-5)\/(-12420)*888\/(-16) and -47\/16?\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 471 and 35?\nAnswer: 16485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 - 33. What is the third derivative of 0 + 2*w**4 + 0 + 61*w**2 - 66*w**m wrt w?\nAnswer: 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 12 - 13 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o\/(o*o\/((o**(-2\/5)\/o)\/o)))\/o*o*(o\/(o\/o**(-1)*o))\/o)**(31\/2) assuming o is positive.\nAnswer: o**(-837\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 271 in -0.07, 4, 5, -11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 3 + -21 - (-5 - 3)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 4:19 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three fifths of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -3, -4 in decreasing order.\nAnswer: 5, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8789.6208 and 0.6.\nAnswer: -8789.0208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 + 39*u - 42. What is the remainder when h(35) is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of s**6\/45 - 3*s**5\/10 + 5*s**4\/3 - 5*s**3\/6 + 2*s**2 + 136*s. Let q(v) be the second derivative of o(v). Factor q(f).\nAnswer: 4*(f - 2)*(2*f - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3330 is divided by 155.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-26)\/455 - (0 + 0). Let q = -28\/27 + 3191\/3780. Let n = q + r. Which is the second biggest value? (a) 1 (b) -2\/9 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 6*f - 96 = 0. Let t = 142 - f. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 399 - 4*j**2 - 399.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*(16\/(-12))\/1. Let i be 6\/w*12\/18. Let z be 1 + 2\/(-4) + (-39)\/30. Is z < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n\/(n*n**6))\/n*n**(-3))**26*(n**0)**28*(n**(-2\/11)*n)\/n**(-2\/15) assuming n is positive.\nAnswer: n**(-38453\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + n - 10 = -60, -2*s - 4*n = -34. Suppose s*a - 173 - 61 = 0. What is the lowest common multiple of a and (-3)\/1 + 1 - -26?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9802132 or 9802127?\nAnswer: 9802127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 340346 and 644954.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*g**2 + 0 + 0*g.\nAnswer: 2*g**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {q: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 4 and 461238 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -444746, -444796, -444846, -444896?\n\"Answer: -50*v - 444696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176523025.\nAnswer: 5, 7, 97, 10399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 16*p**5 - 20*p + 78680*p**4 + 140*p**2 + 155*p**3 - 79330*p**4 + 359*p**5 = 0.\nAnswer: -2\/5, 0, 2\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and 2.334.\nAnswer: 2.234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1052.734 days to microseconds.\nAnswer: 90956217600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**2 - 2*h**2 + 6*h**2 + 3*h**2 - 4*h**2 - h**2 + (-1 - 3 - 1)*(-2*h - h**2 + 2*h).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/8 + (-14)\/(-4). Suppose j*s + 2*s = 45. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-299186)\/30 - 18\/135)*-3.\nAnswer: 3, 9973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6453 (base 7) in base 11?\nAnswer: -17a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 176*n + 222*n**2 - 343*n + 167*n + 637*n**2 in the form a*n + i + k*n**2 and give k.\nAnswer: 859","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (66\/(-4))\/(18\/(-168)) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2024 + -78?\nAnswer: -2113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + -19 - (-49 - (-225522)\/6264))\/(3\/12).\nAnswer: -1\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + -1 + (-17)\/(-18). Let n = -29\/126 + i. Which is the fourth biggest value? (a) -0.5 (b) -4 (c) n (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -542 + -12671?\nAnswer: -13433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1742181 and 897.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.31337 take away -0.6?\nAnswer: -2.71337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**2 - 3*j - 1. Let s = -141 + 140. Let v(h) = -270*h**2 - 54*h + 162. Let c(x) = s*v(x) + 18*p(x). Find the first derivative of c(g) wrt g.\nAnswer: 612*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/639 and -53\/27.\nAnswer: 1917","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*(-2)\/8)\/((-22)\/(-110))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1135451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -36679 at most -36679?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.029 * 0.159.\nAnswer: 0.004611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1419, -2527, -4559, -7515, -11395, -16199?\nAnswer: -21927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 325*h**4 - 12*h**3 + 12*h**2 - 6*h - 478. Let t(w) = -2*w**3 + 2*w**2 - w - 2. Let u(q) = j(q) - 6*t(q). Find the first derivative of u(o) wrt o.\nAnswer: 1300*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 42 = 4*j, -18*j = 4*n + 41158 - 41080 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7994388 to the power of 1\/2, to the nearest integer?\nAnswer: 2827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 487*m + 15707 + 19977 - 7438 = 0 for m.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1021120201120000 (base 3) in base 15?\nAnswer: 1930730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 52*b - 1003. Let s be q(-15). Let y(l) be the first derivative of 4*l**s - 5*l + 1\/3*l**3 + 13. Give y(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssh when three letters picked without replacement from ehvsekeghvgese?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 88.853 to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -7*k + 4. Let i be (-45*k\/(-15))\/((-66)\/(-8)). What is the nearest to -0.1 in -5, -1\/2, i?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 (base 10) in base 8?\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(sqrt(10)*-3 - sqrt(10)) - (sqrt(2) + -1 + sqrt(2) + 3*sqrt(2))**2)*6 - (sqrt(242)*1*2 - 1*sqrt(10)\/(sqrt(10)\/sqrt(2)))**2.\nAnswer: -1188 + 117*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.961, -6, -17\/11 in increasing order.\nAnswer: -6, -17\/11, -0.961","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f*f\/(f*f\/(f\/f**0)*f))\/f)*f*f\/f**7*(f\/(((f**3\/f*f)\/f)\/f))\/f**(-1\/4))**(-23))**(-11\/2) assuming f is positive.\nAnswer: f**(-2783\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - 2 - (-29 + 39).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (53371\/53)\/(-2 - -3). Suppose -2*w - l = -5*i - 134, -2*i + 346 = -4*w. Calculate the highest common factor of i and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243.691 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of 5*s**4\/24 + s**3\/2 - 5*s**2. Is p(6) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 13 + 31. Suppose 6 - v = -2*o + 2*f, 4*o + 3*f - 4 = 0. Let n = 18047 + -17999. What is the smallest common multiple of n and o?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 divided by 20933.\nAnswer: -25\/20933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + d + 2. Let s be x(-3). Suppose 2*l - s*l = -18. Suppose -l*f + 54 = -f. Is 9 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9\/18 + (-286)\/(-4))*-3. Let r = -133 - b. What is the remainder when r is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -4*l - 6, -271*l - 6 = 3*z - 273*l for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4881, 4863, 4823, 4749, 4629, 4451, 4203, 3873?\nAnswer: 3449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1075 + 2194 + 33*p - 1117.\nAnswer: 33*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1\/v**(-6))\/(v\/(v*v*v\/v**0*v))**23*((v**0*v*v)**38)**(3\/4) assuming v is positive.\nAnswer: v**133","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 - 64 = 4*w + 153, a + 4*w + 247 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002975948564 to four dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -h**3\/3 - h**2\/2 + 129*h + 20. What is the tens digit of l(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44 and 308.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of 3*d**4\/4 + 19*d**3\/3 - 46*d**2 - 7*d + 2. Give h(-7).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/24 and 157\/15732.\nAnswer: 31464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/12 and 6\/20*(258\/(-9) - -1).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3708996, -3708998, -3709000, -3709002, -3709004?\nAnswer: -3709006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mwm when three letters picked without replacement from vmmmmmwmmmvvmdmmmmmp.\nAnswer: 91\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -65, -95, -125?\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 198 and 252?\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**3 - 4*d - 1. Let a be k(-1). Solve 5*q = 4*q - a*p - 1, -3*q = -p + 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (123 - 102) + -120 + 12.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14780, -14716, -14600, -14426, -14188, -13880, -13496?\nAnswer: -13030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*o - o = 261, -4*o = -4*p + 204. Let n = 57 + p. List the prime factors of n.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43279887 to the nearest integer?\nAnswer: 6579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7 - -3)\/(-1 - -2). Suppose -2*x + 30 = -5*h - 3*x, 0 = 3*h - x + z. Let o(g) = 2*g - 6. Give o(h).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 57848?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -259, 4, 1 in ascending order.\nAnswer: -259, -16, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -3, -4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qzwjwqqrqjzzwqrzqqqz. What is prob of picking 1 r and 1 w?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kyyfkyffyffhkfkkyyk. Give prob of picking 1 k, 2 y, and 1 h.\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -6, 2, 1, -2, 481, 8 in decreasing order.\nAnswer: 481, 8, 7, 2, 1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1385888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -23.5 * 15\nAnswer: -352.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103396448.\nAnswer: 2, 17, 71, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*v**4 - 57*v**4 + 39*v**4)*(-42 + 41*v + 42) + (-2 + 1 - 3)*(0 + 0 + v**5).\nAnswer: -1562*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 16761 divided by -37\nAnswer: -453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -340 - -340.288. Let x = -0.278 + q. Which is the third biggest value? (a) 0.09 (b) 5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 785 - 785 - 141*j + (1 + 1 - 3)*(1 + 2*j - 1) + 3 - 3 + 4*j as s*j + d and give s.\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 281531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w + 2*w**2 + 2*w. Let r(s) = -16*s + 14. Let m(f) = -3*f + 3. Let y(t) = -14*m(t) + 3*r(t). Calculate y(b(p)).\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 41307268.14 to the nearest 1000.\nAnswer: 41307000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 24*l**3 - 3*l + 2. Is u(1) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -0.3, 72, -2, 2\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/528 and -67\/44.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -644183.7208 to the nearest 10000.\nAnswer: -640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -415244075 to the nearest 10000.\nAnswer: -415240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 q when three letters picked without replacement from qqlqqqqqlqlqqqq?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, a: 2}. What is prob of picking 1 h and 1 a?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1151703 and 1407.\nAnswer: 77164101","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/132 - (-41)\/44) + -2.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3768.824 millennia in years?\nAnswer: 3768824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5315 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**3\/6 - 29920*v**2\/3 + 119671*v\/2 - 89751 = 0. What is v?\nAnswer: 3, 59834","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 760070, 2 in increasing order.\nAnswer: 2, 4, 760070","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (29\/(812\/(-147)))\/(2\/(-272))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*o**2 - 1950*o - 10728.\nAnswer: -3*(o + 6)*(9*o + 596)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9047 + -32957. What are the prime factors of r\/15*(-2)\/4?\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34 + 20?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -53*w**2 + 6668*w + 7998. Give m(127).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*q - 24. Let t be (-18)\/(-10)*(17 + -12 - 10). Let h be q\/(-6) - (t - 0). Calculate the highest common divisor of h and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ubuxxbbxbbxubbbbbbbb. What is prob of picking 2 u and 1 x?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lcvi when four letters picked without replacement from {l: 2, y: 2, v: 1, c: 1, i: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 6*m**2 + 2. Let f be x(6). Suppose 5*o + 13 = -3*d, 7 = -o + f. Suppose -s + 0 + 1 = 0, d*s = 2*w - 22. Is w 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 2056410\/290 + 4\/(-58)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from {a: 2, n: 6}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 4:09 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 - 2 - -43) + 4.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -213045 at least -213046?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 342?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 150403018.04 rounded to the nearest 1000?\nAnswer: 150403000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -18. Suppose 0 = -2*n, -4*i + 0*n + 2*n = -132. What is the remainder when i is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*j**3 - 2 - j**2 - 4*j**2 + 4 as m*j + p*j**3 + s*j**2 + q and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.02, 17, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -875*w**2 + 21762 - 21136 + 2974*w**2 wrt w?\nAnswer: 4198*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3*sqrt(576)*5 + sqrt(576) + sqrt(576) + sqrt(576))\/((-5*sqrt(90) + sqrt(10))\/sqrt(5)).\nAnswer: -648*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -73*q + 10826. Give i(148).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of g - g**2 - 32 - 4\/3*g**3. What is h(-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w*w**0*w)))**(-49)*(w*w\/w**(-2\/9))\/(w\/w**(-1)))**22 assuming w is positive.\nAnswer: w**(-19360\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -8*q + 24. Give h(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**6)**(2\/59)*((t\/(t*t**(-3\/2)))\/t)**(2\/35) assuming t is positive.\nAnswer: t**(479\/2065)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 187\/1218 + -1\/29. Let y(h) be the second derivative of k*h**4 - 5*h - h**3 - 9\/7*h**2 + 5\/14*h**5 + 0. Let y(i) = 0. Calculate i.\nAnswer: -3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*t**2 + 5 + 1 - 25*t**2 - 1.\nAnswer: -17*t**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -7, -4, 5, 561, 1 in increasing order.\nAnswer: -7, -5, -4, 1, 4, 5, 561","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4*t - 5 = -1, -5*a + 10 = -2*t. Find the first derivative of -27*x**2 - 17*x**2 + x + 17*x**2 - 27*x**a - 20 wrt x.\nAnswer: -108*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 60 - 4. Let u = -58 + d. Let l be u\/(-10) + (-42)\/10. Which is smaller: 0.05 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1320520 (base 6) to base 2.\nAnswer: 10001110001000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 283 - 404. Let q = s + 124. Which is the second smallest value? (a) -0.5 (b) 0 (c) 2\/3 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -4, -2, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 516302479?\nAnswer: 7, 11, 6705227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 + 45 - 12*t.\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -14*q**2 - q - 557. Let f(t) = -14*t**2 - 2*t - 552. Let a(o) = -4*c(o) + 5*f(o). Differentiate a(y) with respect to y.\nAnswer: -28*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 40?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -870 - 61. Suppose -h = -2*b + 27. Calculate the remainder when b is divided by (81 + 0)*8\/24.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*i - 5*i - 2*p + 10, -4*i - 6*p - 34 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 812 - 83. Suppose 4*d - 2*d - 494 = -4*z, 0 = -3*d - 2*z + g. Is 20 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 170\/170000*240*5\/51\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 - 52*t - 52*t**3 + 51*t to l*t + i*t**2 + m + o*t**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, j: 6, w: 2, v: 5, t: 2, l: 1}. Give prob of picking 1 w and 1 r.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -212*d**3 - 369*d**3 + 436*d**3.\nAnswer: -145*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*p - 102*p - 3*h = -92, 0 = -p - h + 16. Let y = 10 + -6. Suppose q - 7*w + 2*w = 13, y*w - 22 = -q. What is the least common multiple of p and q?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/225 - -41\/450. Let w be 6\/666*((-93)\/2)\/3. Let j = 1\/37 - w. What is the third biggest value in l, -1, -4, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/24)\/(2\/16). Suppose -m - 2 = s, -6 + 3 = 3*s + 2*m. Which is the nearest to 1\/7? (a) -0.4 (b) s (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -13.1233473 and 25?\nAnswer: 38.1233473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -36? (a) 2\/5 (b) -783 (c) 73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6+16429175\nAnswer: 16429181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -8) + -7 - 3 - -10.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 - 13. Suppose -4*p + 223 = o. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34.958023 - 38.768022892. Let d = j + 3.81. What is d rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 171 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q + 46. Let u = -63 + 48. Let h be f(u). What is the common denominator of (h\/(-3))\/(24\/582) and 46\/33?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -97a + 27?\nAnswer: -953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5802279 divided by -828897.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 8 = -5*w, 4*k = 3*k - 2*w + 15. Find the second derivative of 2*u**3 + 14 - 24 + 13 - k*u - 9*u**2 wrt u.\nAnswer: 12*u - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xwlxzlwswxpszlxzwlsw. Give prob of picking 1 w and 2 s.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + i - 3)*(-4*i + i + i) + 2*i + i**2 - 2*i.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppbp when four letters picked without replacement from {b: 4, p: 7}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -64.2, 17\/7, -3, 4, -4\/9 in ascending order.\nAnswer: -64.2, -3, -4\/9, 0.3, 17\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**2 - 3*y**2 - 3*y**2 - 3*y**2. Let b(r) = 5 + 1 - 4 + 3*r - 2. Give b(c(p)).\nAnswer: -21*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2339863617?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 y when two letters picked without replacement from myymmyyfym?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/165 + 551\/11. Suppose y + 3*g - 372 = 0, -5*y + 55*g - z*g + 1760 = 0. What is the remainder when y is divided by 60?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 4, -2\/37, 5 in decreasing order.\nAnswer: 5, 4, 1\/2, -2\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 277 - 271. Let l(z) = -z**2 + 6*z - 4. Determine l(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 395445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*((s**20\/s)\/s)\/s*(s\/(s\/((((s*s**0*s)\/s)\/s)\/s)))\/s assuming s is positive.\nAnswer: s**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 79*l + 116. Let i(z) = 11*z**2 - 153*z. Calculate i(p(c)).\nAnswer: 68651*c**2 + 189521*c + 130268","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 4*p**3 + 2*p**2 - 3*p. Let b be d(3). Let s be 5\/(-2*(-1)\/(-28)). Let c = s + b. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 22 = -2*s. Suppose -s*o + 15*o = 2. Suppose 0 = 5*j - d - 768, 6*d - o*d + 762 = 5*j. Calculate the highest common factor of j and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + t + 118, 2*b - 5*t + 20 = -86. Let l = 60 + b. Suppose -l*j - 2199 = -5*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1178.13 rounded to the nearest ten?\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -911 - -1302. Calculate the remainder when o is divided by (7\/20)\/(16\/80)*(-128)\/(-8).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 2)*(-f + 0 + 0) + (f + 1 - 1)*(-6 + 4 + 0).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 259907.1 - 7.56.\nAnswer: 259899.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*-2 - ((-2560)\/4 - 10). Calculate the highest common factor of a and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o**2. Let k(d) = -1836845*d**2 + 45*d. Give k(y(r)).\nAnswer: -16531605*r**4 - 135*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66858 = -1648*a + 1615*a. What are the prime factors of a?\nAnswer: 2, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 21 + -1 + 3 + -2?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 30 = -34. Let t be (16 + -14)\/(1 - x\/18). Suppose 0 = 5*r - 248 + t. Is r a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4482 + 9502. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -3\/5, 2\/15, 11, 0.1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 10*i - 291*i)*(i - i - i**2).\nAnswer: 279*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110111 - 111011100?\nAnswer: -1010010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xzewewxsweewewswww. What is prob of picking 1 x and 2 w?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1594 - -3051. List the prime factors of n.\nAnswer: 5, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 121266*q**5 - 4*q**2 - 722.\nAnswer: 7275960*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -766 + 801. Sort o, 9, -1, -3\/2.\nAnswer: -3\/2, -1, 9, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -3*f + 2019, 5*g - 3*g = -4*f + 1352. What are the prime factors of g?\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 15*k**2 + k + 10. Let y(g) = 7*g**2 + 5. Let l(a) = -6*p(a) + 13*y(a). Let r be l(3). Sort 5, r, 68 in ascending order.\nAnswer: r, 5, 68","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 328*l**2 - 180363*l - 20349. Give n(550).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18025.99999968884 - 18026. Round u to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + 2*l + 0*l)*(4*l**2 - 4*l**2 + 2*l**2 + (l**2 + 2*l**2 - 2*l**2)*(-3 + 4 - 2)).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 8, y: 1, u: 1, x: 6, s: 2}. Give prob of sequence fu.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -4*a + 4. Suppose 2*r - 5 + 9 = 0. Let c be o(r). What is the smallest common multiple of (-3)\/(-3) + -2 + c and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 213157\/18 - 11838. What is the common denominator of n and (-72)\/(-88)*2\/12?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/(-3)*-6*(-10)\/(-70)*26. Which is greater: l or -117?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -11415\nAnswer: -1\/11415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**5 - 24*f**4 - 27*f**3 - 3*f**2 + 70*f - 128.\nAnswer: 120*f**2 - 576*f - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/4)\/((-91)\/455)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 375007*-0.06\nAnswer: -22500.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 7*r**2 - 4. Let y(w) = 14*w**2 - 10. Let h(i) = 5*g(i) - 2*y(i). Let s(m) = -5*m**2. Give s(h(f)).\nAnswer: -245*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44389?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 194990?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**5\/17 + 32*g**4\/17 + 152*g**3\/17 + 160*g**2\/17.\nAnswer: -2*g**2*(g - 20)*(g + 2)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-14))\/a*a**(-9)*(a**(-3)*a)\/(a\/((a\/a**(1\/17))\/a)*a) assuming a is positive.\nAnswer: a**(-460\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((2 - 5)\/1)\/(39\/52). Let a be 24\/(-6) - (3 + c - -2). Let f(x) = 2*x**2 + 6*x - 3. What is f(a)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 387, 5, 4, 1, -1 in decreasing order.\nAnswer: 387, 5, 4, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**27\/h**40)\/((h*h**(1\/4)*h)\/h**(-22)))**(5\/11) assuming h is positive.\nAnswer: h**(-745\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -133*j - 933. Give g(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 3) + (17 + -3 - 11).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 6089*d + 5821069. Give o(-956).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 - 3 + 71)*(3 - 3 + 2*f) - 2 + 2 + 2*f.\nAnswer: 182*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221221100 - 0?\nAnswer: -221221100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -509679 divided by 129?\nAnswer: -3951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*m - 3*m + 0*m - 9*m in the form g + x*m and give x.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 112791233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -83*f**5\/5 + 3*f**4\/2 - f**3\/3 + 217*f**2 + 506. Find the third derivative of h(v) wrt v.\nAnswer: -1992*v + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.068 less than -1207302.966?\nAnswer: -1207303.034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -399 + 850. Is 14 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60172149 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: In base 7, what is 541 + -134?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*u + 7 = 145 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3869 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 r when two letters picked without replacement from gzwwwwzrswszrtwwwrrg.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5a186 (base 11) to base 2\nAnswer: -10101001011001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2146 divided by 17873\nAnswer: -2146\/17873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000073501062 rounded to 7 dps?\nAnswer: -0.0000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 2 n, and 1 g when four letters picked without replacement from ggnpggpgqgnngqgq?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*n**2 + 0*n**2 - 2*n**2)*(-47*n + 39*n - 36*n) + 2*n**3 - 2*n**3 - 3*n**3 as z*n**3 + d + s*n**2 + f*n and give z.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 8*r**2 + 7*r + 2. Let k = -5 + 12. Let w be o(k). What is the third derivative of 5*s**3 - 2*s**w - 3*s**2 + 5*s**3 - 3*s**3 wrt s?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y + 3. Suppose -64 - 36 = -5*q. Suppose 2*f - 10 = 3*z - 2*z, 4*f = z + q. What is u(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46215882 divided by 7702647?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 33.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*m**2)*(2*m**2 + m**2 + 0*m**2)*(5*m - 2*m - 4*m) + (0*m + 0*m - m)*(-m**4 - 3*m**3 + 3*m**3) + 7*m**3 - 4*m**5 - 7*m**3.\nAnswer: -9*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*l + 53*l - 145 = -36*l. Solve 0 = -5*k + 7*z - 5*z + 2, l*k + 4*z = 26 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22*(-6)\/(-198))\/((-2)\/(-27)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 98*g - 92*g. Let a(t) = 19*t + 74. What are the prime factors of a(g)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*2\/4 + 0. Let a be 3\/(-12)*-2*p. Suppose 21 = 2*o - g, 2*g - 2 + 8 = a. Is o a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 85 = -5*m, -28358*m = -3*y - 28362*m - 70 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 56, 114, 158, 182, 180, 146, 74, -42?\n\"Answer: -r**3 - r**2 + 68*r - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -4.6. Let g = 0.4 - d. What is the biggest value in g, 0.2, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -15*r**3 - 6*r**2 - 8*r - 6. Let y be n(-3). Suppose 747 = 6*v - y. Calculate the remainder when v is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11015 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36504*c = -36458*c - 230 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/11297 and 15\/2212.\nAnswer: 316316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/117*3\/(-122). Let o = -238250213890475\/14274 + 16691201750. Let q = k + o. Find the common denominator of -79\/8 and q.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4 = -3*u. Let i = -2 - u. Suppose -5*w + w + 20 = i. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrmz when four letters picked without replacement from {m: 8, z: 5, r: 4}.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 17 = t - 3, 6 = -3*t - 3*q. Let w(s) = s**2 + 7*s + 5. Let z be w(t). Are -2\/7 and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (208\/(-390))\/(12\/9 - 2)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(425)*1 + 0.\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1040078491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 279 + -275. Solve -2*b + 3*q - 1 = 0, -4 = -b + a*q + 3 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3, -6, -2232, 5\/82?\nAnswer: 5\/82","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -t**5\/20 - t**4\/6 - 4*t**3\/3 - 11*t**2 + 16*t + 2. What are the prime factors of s(-6)?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*v - 8*v + 148602 - 297203 + 148601.\nAnswer: 22*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1\/3, -27, -5, 2.\nAnswer: -27, -5, 1\/3, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 186, 4, 1\/8, 1, -1\/4.\nAnswer: -1\/4, 1\/8, 1, 4, 186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -6. Let n = -1 + f. Let g = 10\/9 + -7\/9. Is n not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5148*t**2 - 4708*t**2 + 9181*t**2 + (0*t + t - 2*t)*(-1 + 1 + 2*t).\nAnswer: -677*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/5 + (-80)\/(-25). Suppose -9*z + i*z = -72. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 4*h = -98215 + 280524, -4*h + 121546 = 2*r. List the prime factors of r.\nAnswer: 60763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 121. Calculate the greatest common divisor of 11 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-182)\/(-39) + (-2)\/3. Suppose -p*b + 866 + 470 = 0. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**3 + h**3 + 0*h**3 + (-4*h**2 + 0*h**2 + h**2)*(-2*h - 3*h + 6*h).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(17 - 2)\/(-3). Let m = -4 + r. Solve z - m = 3 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 + -0.1. Let p = 6 + -7. Let u = g + p. What is the second biggest value in u, -3, -0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) 0.5 (c) -1\/11 (d) -0.315\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 2323?\nAnswer: -2332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m - 5*d - 9, -483*m - 20 = -483*m + 5*d for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/22380 and 7\/1074240.\nAnswer: 1074240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-2535)\/(-26))*-13\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4608453 or 4608472?\nAnswer: 4608472","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2*(sqrt(147) - (sqrt(147)*1 - sqrt(147)))*2 - (sqrt(216)*-1 + sqrt(216))\/(-3*sqrt(16)\/sqrt(2)))**2.\nAnswer: 2348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -17*g**3 + 2*g**2 + 2*g + 23. Let b(o) = 17*o**3 - 3*o**2 - 3*o - 23. Let n(i) = -2*b(i) - 3*c(i). Differentiate n(u) with respect to u.\nAnswer: 51*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a hour in minutes?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(13 - 13 - 4*x)*(-11 + 54 + 28).\nAnswer: -284*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26009 and 43628.\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 111, -7, -7054, -4, -2 in descending order.\nAnswer: 111, -2, -4, -7, -7054","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8469 and 648?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-42)*(-42)\/(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -594, -592, -588, -582?\nAnswer: -574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-10))\/((-155)\/(-775))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 707*z - 874 - 540 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 3\/2 (c) 2 (d) -8 (e) -3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -2.322 (c) -2\/3 (d) 1 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4*a**2 + 8*a + 3. Let x(t) = -t**2. Let z(i) = u(i) + 5*x(i). Calculate the remainder when (-3)\/((-94)\/(-48) - 2) is divided by z(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 + 1.2. Suppose h = 4*h. Suppose h = f - 3*f - 6. What is the closest to n in f, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/(-70)*(12 - 7) and 11\/3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10, -1, 98?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52*1 - (-5755 - -5792).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 171244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.1, 14, -2, -654\/13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 34 - (-8 + 4 + 4). What is the highest common factor of 272 and l?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - 3. Let j(i) = -2*i**2 - 7. Let p(o) = 3*j(o) - 7*k(o). Let n(d) = -d**2 + 13*d. Give n(p(u)).\nAnswer: -u**4 + 13*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a year?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17912 is divided by 230?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*h + 9*h - 12, 2*h = -w + 7. Solve 0*n - 5*n + 5*r - w = 0, 0 = -n - r - 1 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 19*r**2 + 2*r - 1. What is c(1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 467, 521, 575?\nAnswer: 629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a second in milliseconds?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217*w = -195*w - 140*w - 65688 for w.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 9*h**2 - 361*h - 14. Give v(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 25 = -5*n, -2*w + 7*w - 5*n + 40 = 0. Find the common denominator of (-69)\/30 + -1 + w and 101\/52.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 36*i + 248. Calculate x(-26).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - 10*a - 41. Let p be j(13). Put 0, p, -5 in increasing order.\nAnswer: -5, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -126\/481 + 4\/37. What is the closest to -1 in w, 5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7979 + 4339305*u**4 + 6861 - 4335594*u**4 wrt u?\nAnswer: 14844*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 13550*v + 3. Is i(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -14*l + 2. Let k = -59 + 63. Let w(x) = x. Let j(h) = k*y(h) + 40*w(h). Differentiate j(c) wrt c.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2406343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 8:16 PM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p**2 + 845*p + 12547. What is v(-266)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -612 (b) 0.2 (c) 7\/4 (d) 37.1 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(19) - (1 + sqrt(475)) - (-1 + sqrt(38)\/sqrt(2))).\nAnswer: -5*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of 4*o + 0 + 11\/6*o**3 + 7*o**2. Is a(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 6*k**2 - 8*k - 5. Let r = 78 + -34. Let t = r + -28. Calculate the smallest common multiple of a(-5) and t.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18052443?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 10. Let f(s) = s**2 - 8*s + 14. What is the units digit of f(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.53 - 0.03. Let n = 13 + -9. Let y = -3 + n. What is the second smallest value in q, -0.5, y?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57 (base 11) to base 5\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l - 22. Let h be n(-9). Let u(p) = -27*p - 2. Let j be u(1). Let x = j - h. Solve -g + 5 = -5*f, -6*f - 20 = -4*g - x*f for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 35*(0 + 6\/15). Suppose i - 2*h - n = 0, 2*i + 2*i = -2*h + 46. Solve -f = -3*f, i = -4*p + f for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + k**5 - k**2)*(10 - 13 + 7) + 8*k - 8*k - k**5.\nAnswer: 3*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/11 + 4890*v\/11 - 9788\/11.\nAnswer: 2*(v - 2)*(v + 2447)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 104243102 (base 5) to base 16\nAnswer: 70dc5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 285\/570*(75\/2450)\/((-6)\/8)\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14 + 28e?\nAnswer: 2a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 3)*(-12 + 4 + 18)*(2*k**4 + 3*k**2 - 3*k**2)*(3*k + k - 5*k).\nAnswer: 40*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1328594 + -1328701.9951. Let s = 108 + b. Round s to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 50*k**3 + 7*k**2 + 24*k + 15. What is j(-2)?\nAnswer: -405","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -74*z + 27*z + 5*z + 2*z**3 - 21*z + 10*z to l*z**2 + g*z**3 + b + w*z and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-6) + (1 - (-4)\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -581d?\nAnswer: -5823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 336606 to the power of 1\/2, to the nearest integer?\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 56 - 59 - 3*d - 3*d. Give h(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389 is divided by 132?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 - 32*n + 32*n)*(-4*n**3 + 5*n**3 - 2*n**3) + (2*n + 3*n - 4*n)*(n**4 - 2*n**4 + 3*n**4) - 2*n**5 + 5*n**5 - 2*n**5.\nAnswer: 5*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2265979133 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47952, 47951, 47950, 47949, 47948?\nAnswer: 47947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 6 = 2*p, -4*p = 1 + 3. Suppose -v*j - 2 = -2*c, -4 = -0*j - 3*j - 4*c. Put -5, j, 3 in increasing order.\nAnswer: -5, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-429)\/65 + (-6)\/(-10). Suppose -4*v = -4*m - 7*v + 2, 0 = -m + 5*v - 11. What is the smallest common multiple of 6*(5\/30)\/(m\/h) and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1102, -4569, -10364, -18499, -28986, -41837, -57064, -74679?\n\"Answer: -2*y**3 - 1152*y**2 + 3*y + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1065485.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211 is divided by 51?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(3*sqrt(6)*-4 + sqrt(6) + sqrt(6)) + 2 + (sqrt(180)\/sqrt(9) - sqrt(5)) + (sqrt(50)*-2)\/sqrt(10))**2.\nAnswer: -22*sqrt(5)\/5 + 201\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 254.91 + -407.01. What is the second biggest value in 0.2, -1\/8, d?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/(1*sqrt(98) + sqrt(2)))\/(3*(sqrt(147) - sqrt(147)*3 - sqrt(147)) - sqrt(147)).\nAnswer: -sqrt(13)\/560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qliyw. Give prob of sequence qil.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 17 = -g, 2*o = 2*g - 3*o + 11. Calculate the remainder when 32 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5124469 + 73.185\nAnswer: 73.6974469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*y - 113 + 33 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -17600 rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-14))\/((-11)\/(-22)*238\/(-2499))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/330)\/((-665)\/(-380)).\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/40)\/(-1)*4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -17*f + 7. Let r(u) = 1. What is a(w) - 4*r(w)?\nAnswer: -17*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(891) - (-1 + sqrt(891))) - sqrt(891))**2 + (sqrt(891) + -1*3*sqrt(891))**2 - -2*(sqrt(891) + (sqrt(891) + 0)**2*-2 + (-1 + sqrt(891))*-5).\nAnswer: -144*sqrt(11) + 917","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (141 - 180) + 25 + -3 - -21.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*g + 127*g - 88 = 0 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*m + 28*m = 0. Solve m = -5*g + 4*g + 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 26 = -v + 4*v, 0 = -4*q - 20. Let j be 2 - 2 - -1 - (-1 - v). Let o = 41 - j. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31312 is divided by 239.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21564 - -21601. Solve -43 = -2*o - d for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 125*f**2 + 265721. Let n(u) = -2*u**2. What is b(n(c))?\nAnswer: 500*c**4 + 265721","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 198521 and 2546.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -175 divided by 400407.\nAnswer: -25\/57201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -8*j**3 - 7*j**2 - 17*j + 17. Let c be x(-6). Calculate the highest common factor of 580 and c.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.9, -28, -0.13, 1\/8, -0.4, 35?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-54)\/(-12)*5\/135.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*w**3 - 26*w**2 - w**4 + 13448 - 13448 = 0.\nAnswer: -26, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 73 + -216. Let p = 142.9917 + t. What is p rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 177*y - 1721. Calculate the remainder when t(14) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9259, -18504, -27751, -37000?\nAnswer: -46251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 21239 (c) 2 (d) -1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1797798781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 4*g - 2257, -201 = -g - q + 362. What is the remainder when g is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -76 to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 5*s + 1. Let c(o) = 0*o + 113 + 2*o - 108. Let p be c(-2). Give k(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -347743300 divided by 194270?\nAnswer: -1790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3559*v**2. Let z(s) = -7*s - 8*s + 18*s + 9*s - 11*s. Determine z(t(r)).\nAnswer: -3559*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 6*u + 8. Suppose u*c + 4*l = -14, c + 2*c + 3*l = -6. Let s be (-1 - c\/(-5))*-5. Calculate the highest common divisor of s and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 459638225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-16)*o)\/o*o*(o\/(o*o**(-1\/8)))\/o*(o**(-3\/4)\/o)**(-2\/29))**(-10\/7) assuming o is positive.\nAnswer: o**(18275\/812)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -172, -1286, -2386, -3472, -4544, -5602, -6646?\nAnswer: -7676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -3, 1, 2, -271?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 5422144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2861*s**6 - s**3 - 2*s**2 - 12*s - 219 wrt s?\nAnswer: 343320*s**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 4)*(-2 + 2 + y) - 7 + 10 + 15*y - 5 + (4*y - 2*y - y)*(1 - 6 + 2).\nAnswer: 17*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/4 (b) -2\/11 (c) 3 (d) -1.3 (e) 4\/203 (f) -1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -5 + 7 - 44\/(-6)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4673784 and 1104?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16675315 and 410.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(4\/17)*d)\/(d**(-5\/2)*d))\/(d**(2\/23)*d*d**(2\/9)\/d) assuming d is positive.\nAnswer: d**(24113\/7038)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((4 + sqrt(704) + -2 + 5)*-3)**2 + -1 + 5.\nAnswer: 1008*sqrt(11) + 6782","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 10189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -309610 by -44230.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 459271 is divided by 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/240 and -23\/7782816?\nAnswer: 38914080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -5) + -3 + 1 - 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.04 + 0.04. Let t = g - 4. Let d = 8 + t. What is the biggest value in d, -4, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/25)\/d*d*d**(-5\/8)\/d)\/(d\/(d**0\/d))**24 assuming d is positive.\nAnswer: d**(-9909\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 344 + 347 - 694. Let x(t) = 9*t + 3. Let s(f) = -5*f - 2. Let o(a) = 7*s(a) + 4*x(a). Determine 3*o(p) - 2*r(p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 5*z**2 - 2*z - 6. Let j be p(6). Let h be ((28\/6)\/7)\/(1\/(-6)). What are the prime factors of j\/h*12\/(-9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -114671.\nAnswer: 344013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 8*k**2 + 2*k - 26. Calculate the remainder when l(-6) is divided by 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/2 - 510\/(-12). Let o = n + -13. Suppose 2*v - 111 = -3*g - v, g = 3*v + o. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 + 294980543369.\nAnswer: 294980543375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -15. Let k = p + 9.9. What is k rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -60*w**2 + 271*w**2 + 85*w**2 - 17*w**2 + 148*w**2 as q*w + h*w**2 + g and give h.\nAnswer: 427","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*c - 124*c = -h + 162, 5*c = 5*h - 800. What is the remainder when h is divided by 35?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 12.224.\nAnswer: 61.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1026881.01 rounded to the nearest one thousand?\nAnswer: 1027000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 95985835 to the power of 1\/4, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1117 (b) -1 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -27*d + 542. Let s be v(20). Solve m + 11 = -3*f + s, 0 = 2*m + 3*f + 9 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1621.54 take away -67.1954?\nAnswer: 1688.7354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3341042 is divided by 531?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -103 - -102. Let m(j) be the second derivative of j**3\/3 - 4*j. Let v(f) = f. Give d*m(h) - 3*v(h).\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003501 rounded to seven dps?\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1695 is divided by 68?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f = -4*v - 13*f - 8, 18 = 3*v - 3*f for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217616 is divided by 124?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1510*p**3 - 1 - 2*p**2 - 1891*p**3 + 1.\nAnswer: -3401*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 5*n + 1 - 4*n - 1 - 3. Let p(u) = u**2 - u + 2. Determine -2*l(q) - 3*p(q).\nAnswer: -3*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 284378 to the power of 1\/2, to the nearest integer?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-20)*124\/(-6)*(-312)\/(-832).\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -2*j - 25, -t + 7 + 8 = -2*j. Suppose 0 = -5*l - 2*x + 291, t*x - 207 = -5*l + 78. List the prime factors of l.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 8 = 20. Suppose 0 = 2*m + 2*k - 52, -c = -m + k + 9. Suppose m = 4*h + 9. Is h a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239*a = -16734 + 11954 for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/7))**(1\/11))**(-42)*(m**(-2)*m\/(m\/(m*m\/(m\/((m\/m**(-1))\/m*m))*m)))\/((m*m*m*m**(-3)*m*m)\/(m*m**(-1)*m)) assuming m is positive.\nAnswer: m**(23\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 h when three letters picked without replacement from eeheheelmehmh.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20952 is divided by 2616?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, -1\/5, 69, 5, 89?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 5 - 20 = 0. Calculate the highest common factor of r and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 + 115*b - 16450.\nAnswer: 5*(b - 47)*(b + 70)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (u + 0*u + 2*u)*(2*u + u - 6*u) - 5*u**2 - u + 6*u**2 - 3*u**2 in the form d + j*u**2 + n*u and give j.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2 + q + 127. Suppose -4*s + h = -3*h - 8, -4 = 2*h. Does 14 divide i(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182891 < 182892?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*x - 4. Let u(s) = s**4 + s**2 - s - 1. Let r(f) = -f**4 - 13*f**3 + 3*f**2 + 7*f + 4. Let h(g) = x*r(g) - 6*u(g). Solve h(j) = 0 for j.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.96 - 4. Let o = -3.96 + r. What is the nearest to 1\/3 in 1\/3, 3, o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {w: 5, p: 3, a: 1}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from pnpbntpnbpppn.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 60398*b**2*g**3*n - 18*b**2*g**2*j - 2*b*g**3*j + 3*b*g**2*n - 6*g**3*j*n - 308*g**3*j + 8*g**3 + j*n wrt b.\nAnswer: 120796*g**3*n - 36*g**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -27*x - 77. Let p be y(-10). Let b = p - 188. Solve -3*c - b*h + h + 32 = 0, -2*h + 6 = -c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k**2 - 36*k + 173. Let n be b(22). Suppose -13*z = n - 23089. What are the prime factors of z?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -81*c**2 + 5*c**3 + 41*c**2 + 39*c**2. Let o be q(1). Find the second derivative of 30*w - 31*w - 1 + 1 + 12*w**o wrt w.\nAnswer: 144*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4001?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 27320287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j + 22 + 11*j - 22.\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -477.83 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001010 + -10001110?\nAnswer: -11011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-72)\/(-42) + 4\/14. Calculate the greatest common divisor of 18 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 0 + 0)*(465 - 946 + 470)*(-12*t + 2 - 2).\nAnswer: 132*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/74175 and -17\/315675?\nAnswer: 13574025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-5))\/(-3)*(377\/(-39) + 9)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -2*k + 10, -35*k = -40*k + 5*g - 35 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p - 14. Let g be l(0). Let r = -45 - -122. Let a = g + r. What are the prime factors of a?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iai when three letters picked without replacement from {i: 9, a: 7}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-2*(sqrt(1872) + 0 + -4)**2.\nAnswer: -768*sqrt(13) + 15104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 10, -3 in descending order.\nAnswer: 10, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*(-4*c**5 + 0*c**5 + 2*c**5) - 104397*c**4 + 104397*c**4 - 2*c**3 + c**5.\nAnswer: -3*c**5 - 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 836, 3370, 7602, 13538, 21184, 30546, 41630, 54442?\nAnswer: 68988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.252 + -258.252. Let h = 257.999456 + v. What is h rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -1 - 4. Calculate the remainder when 17 is divided by a\/(8\/10 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16.1755 + 97246.3.\nAnswer: 97262.4755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(192\/1120*7)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8907230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212358 = -5281*p + 278775 for p.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 127 divided by -14.\nAnswer: -127\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -66, -2, -0.3, -2863 in decreasing order.\nAnswer: 8, -0.3, -2, -66, -2863","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 21 = -7. Let c = 4 - 0. Calculate the remainder when d is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**3 - 2*n + 2. Let f be y(1). Suppose -2*j = f*p + j - 288, -4*p = -2*j - 592. What are the prime factors of p?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5023781 to the nearest integer?\nAnswer: 2241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (6\/(-21) - 76\/28)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22008 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 22 + -10 + 11 + 3 + -3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -5*m + 10, -94 = 2*j - 2*m - 74 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does -870 = -14808\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -181*f - 904. What is k(-6)?\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 5*y + 770 - 1540 = -760, 0 = 2*h - y for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(22)\/(sqrt(11) - (sqrt(33)\/sqrt(3) - sqrt(11))))**2 - (1 + -1 + sqrt(2))) - -2*sqrt(216)\/(sqrt(300) + sqrt(12)).\nAnswer: -10 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 4*x. Let n be a(1). Sort -1, 5, n in descending order.\nAnswer: 5, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 12681.\nAnswer: 38043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e + -ad?\nAnswer: -9e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 42274315?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-6)*-5)\/((-4)\/(-150)). Suppose -f + 477 = 144. Let c = f - t. Is c a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 5*c - 42 = 0, -3*c + 1189 = 5*s + 1192. Let f = -5423 + 11572. What is the common denominator of 37\/20 and f\/258 - (2\/s + -1)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/((-15)\/(-2)))\/(-3 + 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -86*t + 90*t - 337396, -4*t + 337380 = 5*x. What is the ten thousands digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1369 + -1236. What is the remainder when 545 is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + -2)*(-21 - -14). Suppose 2*h = 7*h + 2*s - r, 5*s = -4*h + 36. Solve 6 = t - h*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -0.1, -0.6, 1, 0.33?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.81, 0.9, 0.03, -11?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2\/5 + 20*g.\nAnswer: 4*g*(g + 25)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4*h = 5*d - 20, 2*h = 6. Let z be -1*(0 - (-1 - -2)). Let n be (z\/(-2))\/((-26)\/(-8)). Which is greater: d or n?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 14*k - 8. Calculate u(8).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4*r**2 - 3*r - 6. Let q(l) = l + 15. Let h be q(-9). What are the prime factors of c(h)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and -1.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5915692.1 and -200.484?\nAnswer: 5915491.616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 6*i**2 - 6. Let w be v(-6). Let o = -4 - w. Let p(r) = -4*r**3 + r**2 - 6. Let n(c) = 3*c**3 + 5. Let l(m) = 5*n(m) + 4*p(m). Calculate l(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at least -37\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*c + 8720 - 1586 = 8*c. What is the second smallest value in c, 5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 3*b = -16, b + 97 - 105 = 3*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 9*t**2 - 13*t + 12. Let m = -348 - -193. Let a = 163 + m. What is k(a)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12 + -146?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59 + -31. Suppose 0 = a - 2*a + m. Let t = a + -20. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -633*n + 2535. Let k be g(4). Solve 5*w + d - k = 2*w, -13*w - 3*d = -17 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z - 1. Let b(f) = f + 1. Let a(k) = -9*k - 3. Let l(n) = -a(n) - 2*b(n). Let g(s) = l(s) - 6*v(s). What is the units digit of g(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -35*k**2. Let q(l) be the first derivative of 61 - 3\/2*l**2 + 0*l. Calculate a(q(m)).\nAnswer: -315*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 11:12 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 9:26 AM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2840214 - -31?\nAnswer: 2840245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2033 (base 7) to base 2.\nAnswer: 1011000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 195940, 195762, 195282, 194350, 192816, 190530, 187342, 183102?\nAnswer: 177660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 + -2020012?\nAnswer: -2020111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and -0.762.\nAnswer: 4.238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -36*u - 8. Let n be g(-12). Suppose 3*o - n = -5*o. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 3*d - 103512, 42801 = 4*c + 5*d - 40053. Does 13 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 0, 1.\nAnswer: -5, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (30\/(-18) + 1)\/((-2)\/(-123)). Let k = 43 + d. Solve -k*c = i - 5*i - 12, i + 5*c + 25 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*r - 82. Let b = 109 + -29. Let p = b - r. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 l, and 1 z when three letters picked without replacement from {n: 3, o: 1, z: 7, l: 6}?\nAnswer: 63\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -r, 4*r = 2*r - 5*b. Let g be (r - -14)\/(-3 - -5). Solve -3*y + w + g = 0, 0 = 4*y - 0*y - 2*w - 6 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 2:46 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 781?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*u - 2*u - 3*u)*(34*u**2 + 23 - 23) in the form r*u + i*u**2 + a*u**3 + l and give a.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -5*k**2 - 545*k + 6600 = 0.\nAnswer: -120, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 15 (b) -5 (c) -0.1 (d) 1\/4 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -9963616 and -9963616 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 4:56 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2 + 3 + 9 + c + 0 - c**2. Let a = -664 + 664. Give s(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 280493?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 80846473.98 rounded to the nearest 1000?\nAnswer: 80846000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -189, -207, -225, -237, -237, -219, -177, -105?\n\"Answer: z**3 - 6*z**2 - 7*z - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(-4) + (-3)\/4. Let v be s + 3\/3 - -3. What is the second derivative of -6*a**3 + a + v*a**3 + 2*a**3 wrt a?\nAnswer: -12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -v**3\/2 - 3921*v**2\/2 + 11777*v - 15708 = 0.\nAnswer: -3927, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3246*w = -3475*w + 3206 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/14 + (-589)\/(-133). Let o be 1*(-2 + 5 - s). Is -9\/46 less than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2620.6 - 4\nAnswer: -2624.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 0*l**2 - 5*l + 2\/3*l**3 + 6. Let s(h) = -1. Give k(m) - 5*s(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a century in months?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of 0*v + 1\/2*v**3 - 1\/24*v**4 - 4*v**2 + 0. What is the derivative of a(w) wrt w?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -229430*24\nAnswer: -5506320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of 2*w**3\/3 - 47*w**2\/2 - 25*w + 13. Let l(t) = t**2 - 16*t - 8. Let u(h) = -11*l(h) + 4*y(h). Factor u(v).\nAnswer: -3*(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53 + (4 - 14) + 6 + -4 + -7.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3307, -4, -5 in decreasing order.\nAnswer: 3307, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 923\/24990 - 3\/833. Let p(o) be the first derivative of h*o**5 + 0*o - 1\/12*o**4 + 0*o**2 - 3 + 1\/18*o**3. Determine x, given that p(x) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 297 - 370.5. Let o = h + 73. Let y = -0.11 + 4.11. What is the second smallest value in y, o, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11212013211 (base 4) in base 11?\nAnswer: -912083","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -10974?\nAnswer: -5\/10974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*z + 76 = -231*z + 85*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01007166353 rounded to 4 dps?\nAnswer: 0.0101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m = -157*m - 1079 - 845 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 77*l + 318. What is u(0)?\nAnswer: 318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20409.7213 - -16502.\nAnswer: -3907.7213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63, -93, -145, -225, -339, -493?\nAnswer: -693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/12948 and -3\/116.\nAnswer: 375492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 162 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 2*u + 3394. Let p be q(0). Let h(j) = -p*j - 31*j**2 + 3394*j. Let x(c) = 2*c**2. Calculate h(x(t)).\nAnswer: -124*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 0) + -2 + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -4*w + 143. Let y be d(-23). Calculate the highest common divisor of y and 423.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 514*p - 742 = 4055 - 1199 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 1. Suppose -2*m = 5*p - 943 - 2044, 0 = i*p + m - 1793. Calculate the remainder when p is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -f**4\/12 + 3*f. Let k(s) be the first derivative of s**3\/3 + 2. What is k(z(t))?\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(56\/42)\/(4\/6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10110 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38285 is divided by 1823.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(1\/6)*n)**28*(n\/(n*n**(-3\/10)))\/n**1 assuming n is positive.\nAnswer: n**(2639\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -66? (a) -2\/11 (b) -4 (c) 152 (d) -1\/4 (e) -17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 124, 273, 424, 577, 732, 889?\nAnswer: 1048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3352078.\nAnswer: 2, 41, 40879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-15)\/20)\/((-2)\/(-16)). Let u = b + 8. Solve -n + 2 + u = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 4*t**2 - 2*t + 1. Let w be q(4). Let r = 12 + w. Solve -5*g + b - 5 = -4*g, -2*g = -r*b + 22 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*v - 6*v**3 - v**2 - 3*v**2 + 4*v**2 wrt v.\nAnswer: -36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/(-384)*4)\/(25\/(-10))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in years?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1305 and 21?\nAnswer: 9135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 4) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21899562527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-126)\/(-120) - 1\/(-5). Put -1\/6, -6, i in ascending order.\nAnswer: -6, -1\/6, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*j - 211*j**2 - 213*j**2 + 426*j**2 + (4*j + j - 4*j)*(-2*j - 3*j + 3*j) + j**2 + 0*j**2 - 3*j**2.\nAnswer: -2*j**2 - 22*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 6\/25 (b) -3 (c) -4 (d) -15\/92\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -31512.9, -5, -4?\nAnswer: -31512.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11572?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81, 77, 73, 69, 65?\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 2*s - 56 + 52 = 0, 3*g - 7*s + 40 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(42) + sqrt(672)*-1)\/(sqrt(24)*-3) + -5.\nAnswer: -2*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2*z - 6 = -1, 3*z + 7 = -4*m. Let y be (m - (2 + -3))\/1. Solve -3*c + c - 8 = y for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -453 = 128*u + 538 - 863 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*g - 5 = 0. Suppose -g*p = -113 - 132. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 187 and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u**(-3\/8)*u*u))\/((u\/(u*u\/(u\/(u*u**(1\/7)))))\/u*u))\/(u**(-9)*u*u**(-6)))**(13\/3) assuming u is positive.\nAnswer: u**(3523\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) + 3 + -2 + 3*sqrt(19))**2 + (-5 + (-3 + sqrt(57)\/sqrt(3) + sqrt(19))*6)**2.\nAnswer: -530*sqrt(19) + 5565","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-285640)\/965)\/(8\/1).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (8774\/(-164))\/107*170\/35?\nAnswer: -17\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of o**3\/3 + 14*o + 7. Let z(p) be the first derivative of q(p). Let t(s) = -7*s. What is t(z(f))?\nAnswer: -14*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s + 2. Let n be w(2). Let j = 6 + -4. What is the units digit of (j + n)*(-7)\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 7*n + 11 = 4*n, -3*j - 4*n - 14 = 0. Let m be -1*j*5\/(-10). Which is the nearest to 1? (a) -11 (b) m (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 i, and 2 x when four letters picked without replacement from xiidjdxj?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2*(2*sqrt(75) + 0 + sqrt(75) - (((sqrt(75) + -1 + sqrt(75))*6 - sqrt(75)) + sqrt(75))) + 0)**2.\nAnswer: -2520*sqrt(3) + 24496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of 6*m**5\/5 - 4*m + 77. Let o(f) = 5 - 1 - 3*f**4 - 3*f**4. Let t(p) = -3*o(p) - 2*v(p). Differentiate t(u) with respect to u.\nAnswer: 24*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 600830 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + (0 - -3) - 9) + (-42 + 14 - -69).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3)*c**(-2\/13)*c*(c**7)**(3\/13))**(-27) assuming c is positive.\nAnswer: c**(189\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = -37*v + 2900. What is the least common multiple of v and 8?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.56 + 0.61. Let a = -0.03 + -1.87. Let n = c + a. Round n to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -61424 by -11.\nAnswer: 5584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8575292821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 - -7. Let y be 64\/d*(-6)\/4. Suppose -3*g - y = g. Which is the smallest value? (a) -2 (b) -0.3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 655*f + 212*f + 21793 + 65350 - 10847 for f.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 - 5)*2\/(-6)*2. Suppose -2*c + 3*y = v*y + 15, 3*c - 4*y = 20. Let u(s) = -s + 26. Give u(c).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 9*a + 4*a + 6, -4*q - 2*a = -36. Let h be ((-5)\/25)\/((-2)\/30). Let r be (-2535)\/(-91) + h\/21. What is the greatest common divisor of q and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -153 + 153.3. Put -2, s, 0, -9\/5 in descending order.\nAnswer: s, 0, -9\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 8 + 0 = 0. Let q(t) = -t**3 + 2*t**2 + 2. What is the tens digit of q(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eddeiddededddee. Give prob of sequence dei.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -847837.652 rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 14, -12, -38?\n\"Answer: -26*b + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 4:52 AM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -190 - -150. Calculate the remainder when 31 is divided by 4*(-5)\/h*(-24)\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -286, -18, 0 in decreasing order.\nAnswer: 0, -1, -18, -286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1785.14 - 1863. Let c = -0.147 - 76.853. Let b = m - c. What is b rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 + 16. Let d be (-36)\/f*8\/6. Suppose o = 2*u - 5, d*u - 18 = -2*o + 3*u. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 7*c**3 + c**2 - c + 1. Let z be 1\/4*(4 - 0). Let n be h(z). Solve -3*f = -f - n for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*n - 3857556 - 1421408 + 1446010 = 0. What are the prime factors of n?\nAnswer: 2, 17911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 582129*n. Let d(s) = -317*s**2. What is d(w(o))?\nAnswer: -107423112727197*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 0.4 (c) 4 (d) 2\/29 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2777*p - 1186. Is m(-2) a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, p: 3, c: 1, i: 2, m: 3, j: 2}. What is prob of picking 1 m and 2 p?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -176437, -705782, -1588025, -2823166, -4411205, -6352142, -8645977?\n\"Answer: -176449*o**2 + 2*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**2 + 28*w - 17. Determine l(-12).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zyszz. Give prob of sequence syys.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -27, -13690, -4 in descending order.\nAnswer: 1, -4, -27, -13690","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, k: 1, a: 1, o: 1, h: 2, p: 2}. What is prob of picking 1 o, 1 p, 1 a, and 1 k?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 103 in 2\/9, 2, 46, 16?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 8*w**2 + 10*w + 7. Let p be d(-6). Find the first derivative of 19*t - p*t + 4 - 3*t**2 wrt t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**2. Let j be (-42)\/(-105) - 3*(-4)\/(-30). Let t(i) be the third derivative of 31*i**2 + j + 0*i**3 - 1\/3*i**4 + 0*i. Give g(t(a)).\nAnswer: 128*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 8:10 PM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k**3 - 25*k**2 + 14*k - 16. Let b be g(-9). Let t(x) = -3*x + 2. Let h be t(-6). Calculate the highest common divisor of h and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.719286 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2*sqrt(5))**2*2 + sqrt(5) + 2.\nAnswer: sqrt(5) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10196940 and 2902206.\nAnswer: 377286780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2215144808?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/7*(-1)\/(4\/4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -34 - 6?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of 0*n**4 + 0*n + 0 - 45*n**2 + 0*n**3 + 1\/30*n**5. Let h(f) = -19*f**2. Determine h(o(m)).\nAnswer: -76*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 41 - 9 = 0. Let f = l - -11. Is f >= -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = a, 0 = 2*q + 3*a + 7 + 15. Suppose -j - 3*g + 20 = g, -j - 2*g = -18. Let u = q + j. Solve -v = v + u for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19613417?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -60*f**4 - 2*f**3 - 18*f + 12*f**2 + 61*f**4 + 17*f**2 + 12 + 12*f**3 + 50*f.\nAnswer: (f + 1)**2*(f + 2)*(f + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1574 divide 601121618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*s + 4 - 11 = 0, 4*g + 3*s = 1. Solve 0 = x + g*p + 2, 118*x = 117*x - 2*p - 4 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-78)*2 - 54\/351.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2191163?\nAnswer: 13, 41, 4111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4024*c**2*m**3 + 3*c**2*m + 7*c**2 - 686*c*m**5 + 1558*m + 4 wrt m.\nAnswer: 24144*c**2*m - 13720*c*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - p + 1. Suppose 2*a + 0 - 8 = 0. Suppose 4*r + 40 = 4*c + c, a*r = 0. Let y = 13 - c. Let h(x) = 6*x**2 + 5*x - 5. Give y*i(g) + h(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12482 rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ototwnonft. What is prob of sequence ftno?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - a**2 - 4*a. What is i(-3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -n**5\/10 - n**4\/4 + n**3\/2 - n**2 - 2*n. Let q be i(-4). Let z = q - 39. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7380873 and 1173?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*c*g**3 - 5*c*g**2 - 823706*c*g - 269*g**3 - 2*g**2 + 5*g - 533 wrt c?\nAnswer: -2*g**3 - 5*g**2 - 823706*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, a: 4, o: 4}. What is prob of sequence ff?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*o**3 - 892*o**2 - 27416*o + 236992 = 0. Calculate o.\nAnswer: -184, -46, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 95 + -95. Let s = 1 - -2. Let u = -2 - 0. Which is the closest to 2? (a) h (b) s (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 + 2 - 2)*(-9*l**3 + 6*l**3 + 0*l**3) + 0*l**2 + 0*l**2 + l**5.\nAnswer: -5*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 5*d**2 - 2 + 3*d**4 + 0 + 0*d**4 - d**3 as j + c*d**2 + q*d + x*d**4 + h*d**3 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -9*i**2 - 12*i**2 - 14*i**2 + 33*i**2 + 1. Determine a(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 3*j - 66*v + 9*v = 927, -4*j + 36 = -3*v for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24020505.\nAnswer: 3, 5, 31, 67, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - 3*i - i)*(-3 - 38 + 20).\nAnswer: 84*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - -10) + (36 - 34) + -18.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (2 - (1 + -7)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 149, -4 in descending order.\nAnswer: 149, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 5*z**3 - 1560*z**2 + 66240*z - 760320 = 0?\nAnswer: 24, 264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 6 = -38. List the prime factors of l\/(-24)*81\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -19*j. Let z(o) be the first derivative of -o**3\/6 + 9*o - 11. Let h(w) be the first derivative of z(w). What is n(h(y))?\nAnswer: 19*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + y**2 - y**2 - 2*y**2 as p*y**2 + u + r*y and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 4*f**2 - 99*f**4 - 13*f**2 - 3*f + 43*f**4 + f + 17*f**2 in the form i*f**3 + r + q*f**4 + z*f + n*f**2 and give q.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*s**4 + 326*s - 727 wrt s.\nAnswer: -12*s**3 + 326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -d**6\/90 + 3*d**5\/20 - 2*d**4\/3 + 10*d**3\/9 - 153*d. Solve z(p) = 0 for p.\nAnswer: 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1016\/(-107442)*-2*(-9)\/(-4).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -33*f**2 + 757*f + 39. What is x(23)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2025139 is divided by 1699?\nAnswer: 1630","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**2 + 5*l + 4. Calculate y(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4229, -8363, -12497?\n\"Answer: -4134*x - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 370280987?\nAnswer: 19, 19488473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x + 20 = 9*x. Let c = -10 - x. Suppose 8 = 2*k, 5*p + 2*k = p + 16. Solve c = -a - l - 8, p = 4*a - 4*l - 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216346855.\nAnswer: 5, 23, 1881277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -cca - -4?\nAnswer: -cc6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -280 and -2.8?\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8514.843 seconds to microseconds.\nAnswer: 8514843000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2389*w - 748*w - 3142*w + 424*w to the form i*w + q and give i.\nAnswer: -5855","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = 3*z + z. Let a be (-14)\/49 + (-185)\/(-35). Suppose 0 = 2*c + o - z, -o = -a*o. Is 15 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 1:42 AM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 8*n**2 + 24*n + 4. Let s be u(3). Solve -12*r + 5 = -s for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -321*d**2. Let i(q) = -62*q. What is b(i(p))?\nAnswer: -1233924*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -198005*q**4\/3 + 3218825*q**3\/3 - 4847480*q**2 + 3840540*q = 0. What is q?\nAnswer: 0, 1, 1518\/199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -299603399 plus -4?\nAnswer: -299603403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.3, -5, 0.2, 4, 1.9, 1.2, 2\/11?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*k + 174 = 120 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2143*a**2 + 2*a - 2. Let h(n) = -11576477*n**2 + 10805*n - 10805. What is -4*h(p) + 21610*l(p)?\nAnswer: -4322*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -363 = -1431*f + 1464*f for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 3 - 4)*(-106*r + 13*r - r**2 - 25*r).\nAnswer: 9*r**2 + 1062*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-444)\/(-108) + 2\/(-18). Solve 0*q - f = i - 2*q, 5*q - 5 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -5*h + 3 - 13, h - 3*w = -15 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -1\/4, -5, -74, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3922\/(-424) - 2541\/(-276).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -5*u**2. Let c(v) = 1 - v**2 + 2 - v - 3*v. Let p be c(-4). Let j(t) = 23 - 23 + p*t. Calculate j(d(k)).\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 15 = -c, d - 2*c - 3 = -1 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bvb when three letters picked without replacement from {r: 1, v: 1, e: 1, j: 1, b: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0.0965, -73, -2?\nAnswer: 0.0965","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzhhz. What is prob of sequence zh?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/3 + (-92)\/(-12). Let b(u) = -2*u + 19. Let s be b(j). Solve s*k - 6 = 5*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x*x\/(x**4*x)*x)**(2\/115))**16 assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u = 20*u - 616. Calculate the highest common factor of u and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2*k = 16, -1015*g = -1013*g - 5*k + 52. Let i = -259502\/625 + 2076\/5. Do i and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -584, -423, -262, -101, 60?\n\"Answer: 161*v - 745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 54, 95, 140, 183, 218, 239?\nAnswer: 240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 6023*a + 2806683. What is g(-466)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) - (sqrt(95) - sqrt(95)*4*6 - sqrt(95)))\/(4*sqrt(245) + sqrt(245)) + 5*(sqrt(1900) + (sqrt(1900)*-3 + 4)**2) + -2.\nAnswer: -8045*sqrt(19)\/7 + 85578","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k + k = -132. Let j = k - -16. Suppose -j*p + 384 = -p. Calculate the smallest common multiple of 22 and p.\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43\/5 + 44\/5. Put 31, j, -0.5 in decreasing order.\nAnswer: 31, j, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 2*v. Suppose v = -4*u + 5*u + 28. Let f be (-8)\/u - (-4)\/(-14). Solve 3*z - 3*i + f = 6, z - 3*i = 12 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1252 divided by 692?\nAnswer: -313\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (200\/75)\/(28*2\/12).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*i - 80*i + 30*i - 42*i - 9 - 40*i.\nAnswer: 9*i - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - j**2 + 7*j + 1. Let c(f) = -2*f**3 + 4*f**2 - 203*f - 4. Determine -4*a(l) - c(l).\nAnswer: -2*l**3 + 175*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f = 52 - 30 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -8*s**2 + 2. Let i(f) = -7*f**2 + f + 2. Give 6*i(u) - 5*p(u).\nAnswer: -2*u**2 + 6*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77 - 301*k - 77.\nAnswer: -301*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 8:41 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1217 at least as big as -1245?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25967496 + 25967496 + 2*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 3:31 AM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -465.04 - -465. Which is the closest to -2\/5? (a) x (b) 0.3 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27633568.\nAnswer: 2, 17, 79, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4041128 divided by -72163?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4437*q + 17643*q - 4433*q - 4425*q - 4351*q.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -176 (base 9) in base 12?\nAnswer: -106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (30*t**3 + 30*t**3 + t**3)*(-21 - 11 + 52) as d*t**2 + h*t + o*t**3 + u and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*g - 2120 = -2150 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 81*n**2 - 77*n - 245. Calculate the remainder when 318 is divided by a(82).\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2969115?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 4*x + 6 = 0, 4*p - x + 16 = 3*x for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 79581749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/2, -11, 0.28, -1, 33?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1498921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*i + 4 - 1 + 19*i - 2.\nAnswer: 12*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i - 11. Let c(w) = -2*w + 10. Let h(m) = -2*c(m) - 3*q(m). List the prime factors of h(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4169614 + 11?\nAnswer: 4169625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, i: 2, e: 3, q: 5, n: 8}. Give prob of picking 2 i.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -0*q - q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33112?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6651.248 millilitres in litres?\nAnswer: 6.651248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/2 and 2 + 118\/(-32) + -3.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/614189 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 13*v**2. Let g(z) be the third derivative of 0 + 0*z**4 + z + 0*z**3 - 1\/12*z**5 + z**2. What is x(g(h))?\nAnswer: 325*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 7:40 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3136 divided by 112?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y + 9. Let k be d(-7). Solve 0 = k*g - g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a - 4. Let n(j) = j**2 + 4*j - 16. Give 9*g(r) - 2*n(r).\nAnswer: -2*r**2 + r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/37, -1828, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 9*o. Let u(b) = -5*b. Let i(h) = -11*u(h) - 6*z(h). Let r = -4 + 4. Let s(w) = r*w**2 + 3*w**2 - 2*w**2. Give s(i(a)).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 2*v = 6, -4*v = 2*i + v + 15 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.624 + 4.624. Let r(t) = -3*t**2 - 5*t + 6. Let x be r(4). Let g = x - -307\/5. Which is the closest to 0? (a) g (b) i (c) 2.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 0 + 11*p + 6 - 3 + p. Let d be a(5). What are the prime factors of 4\/(12\/d) - 2?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -83817*g. Let l(x) = -4107*x**2. Determine a(l(o)).\nAnswer: 344236419*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 4*k**2 - 41*k + 28. What are the prime factors of s(20)?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u + 9. Give o(12).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 10*q**2 + 3. Let g be h(10). Solve -g*s + 25 = 2*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v + 17. Let b(k) = 3*k + 34. Let p(j) = 4*b(j) - 9*c(j). Is p(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + 4*a - 8. Suppose 0 = 58*m - 44*m - 84. Determine r(m).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 9*p**2 - 9*p - 7. Let f be b(10). Suppose 0 = f*c + 2*c - 100. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -690722 by -29.\nAnswer: 23818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 1:21 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 75 + (6 + (-44 - -15) - -13)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 10. Let h = f + 2.2. Which is the nearest to -1? (a) -1 (b) h (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58379321?\nAnswer: 7, 11, 13, 58321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 9174*r**5 - 34293*r**4 - 119727*r**3 - 28728*r**2 + 324*r = 0?\nAnswer: -2, -3\/11, 0, 3\/278, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 27 + (-294)\/(-12) + 28\/(-182) + 9\/(-26)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mff when three letters picked without replacement from {f: 7, m: 8, p: 5}?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 3.93. Let d = -4 - -1. Let y = 639071 + -639073. Put p, d, y, 0.2 in descending order.\nAnswer: 0.2, p, y, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 4:02 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**2\/3 - 214*v\/3 - 215\/3 = 0. What is v?\nAnswer: -1, 215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/3)\/x**(-1\/2))**(-29)\/(x**(1\/13)*x**(-2))**(-2\/105) assuming x is positive.\nAnswer: x**(-2659\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 639 + -4?\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 + 2*u - 315. Let c be o(18). Solve 158 + 67 = -c*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = i. Suppose 3*q - w - 16 = i, 5 = 3*q + 2*w + 1. Suppose -3*k + k + 9 = -u, -q*u = 2*k + 16. Is 5 smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41 + 8*h - 41)*(-1 - 3 + 3)*(-2 + 5 + 0)*(2 + 0 + 0 - 2 - 2 + 6 + (3 + 4 - 5)*(2 - 4 + 1) + 1 + 5 - 4).\nAnswer: -96*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13140452.\nAnswer: 2, 13, 23, 10987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*j + 13 - 21*j - j**2 - 33*j.\nAnswer: -j**2 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1024*f - 16 = 1020*f. Suppose f*d + 20 = 2*a, -4*a = -22*d + 21*d - 61. Solve -2*o = 4*s + 10, 3*o - 1 = -3*s - a for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 550572167?\nAnswer: 550572167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 9*w**3 - w**2 - w - 1. Give v(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2171 and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of t**3\/2 - t**2 + 2*t. What is the units digit of r(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 2*z - 50, j - 4*z - 4 = 6. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -116795960 to the nearest ten thousand.\nAnswer: -116800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -12, 1.\nAnswer: -12, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26708 and 49911182.\nAnswer: 1214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -54296723*n**3 + 27455402*n**2 - 2*n - 1 wrt n.\nAnswer: -325780338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -530, -652, -790, -950, -1138?\nAnswer: -1360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + -2 + sqrt(28)\/(sqrt(8)\/sqrt(2)))**2.\nAnswer: -28*sqrt(7) + 347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-79 - (-3 - -2)) + (-55 - -86 - 13).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1143 and 1288288?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, -4.8, 38, -0.15?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, 1\/35, 233 in decreasing order.\nAnswer: 233, 1\/7, 1\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 6*s - 6 = 0, -401 = -y - s. Calculate the greatest common factor of y and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (80*g + 83*g + 12 - 161*g)*(52 - 55 + g - 4*g)*(-1 + 2 - 3).\nAnswer: 12*g**2 + 84*g + 72","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3 = -f - 0, 4*f + 19 = -3*k. Calculate the remainder when (0 - (-6)\/f)*-10 is divided by (-4)\/(-2 + 15\/10).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -567 (base 10) to base 6.\nAnswer: -2343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*d**2 + 27203*d + 434735?\nAnswer: -8*d + 27203","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2*sqrt(2176)*-3 + sqrt(2176))*5)\/((sqrt(2) - (sqrt(288) - sqrt(288)*-1)) + sqrt(6)\/sqrt(3)*1 - (sqrt(32)*2*4 + sqrt(32))).\nAnswer: 600*sqrt(17)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/280 and (-13)\/39*(-408)\/700.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 379744900 to the nearest one million.\nAnswer: 380000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 125199722 to the power of 1\/2, to the nearest integer?\nAnswer: 11189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*a - 3*a + 4*a + (6 - 1 - 2)*(-5*a + a + 2*a))*(-4*a + 4*a - 2*a)*(9 - 6 + 0) in the form r*a**2 + x*a + j and give r.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.09038 less than or equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.99 - -1.05. Let r = -0.06 + j. Which is smaller: 6\/7 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10171 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -196666915.7 and -4.\nAnswer: -196666919.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -1555\/362 and -3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 407 - 247 = 16*h for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -10*o**2 + 29*o + 5. Let n(j) = -9*j**2 + 28*j + 4. Let m(c) = -5*n(c) + 4*t(c). What is the second derivative of m(x) wrt x?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - q + 5. Let y(t) = -t + 1. Let l(w) = 2*k(w) - 6*y(w). Calculate l(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3573238419?\nAnswer: 3, 61, 401, 16231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (5 + 2*sqrt(147) - sqrt(147)) - (-6*sqrt(147)*-4 + -1))**2.\nAnswer: -2254*sqrt(3) + 77812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4*o = -10. Let p be 3 - (-23)\/o - -2. Which is smaller: p or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + a + 96. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 9 + 6 + 0 - 33*i + (-3 + 2 - 1)*(112 - 112 - 12*i) + 5*i + i + 0*i.\nAnswer: -3*i + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 + 18. Let t = 1.2 + q. Let g = -0.2 + t. Is g < 2\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1193*a**6 - 3120*a**2.\nAnswer: 143160*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6886461*b = -6886475*b + 784 for b.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*((f*f**8)\/f*f)\/f*f*f)\/(f**(-6\/5)\/f) assuming f is positive.\nAnswer: f**(66\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 693 and 565884?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*a**4 - 952527*a**3*m - a**2 + 2*a*m - 7*a - 4289*m - 5 wrt a.\nAnswer: -72*a**2 - 5715162*a*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38 - -43. Solve t*y - n + 10 = 0, 23 = -4*y - 5*n - 14 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -446665*g - 120863 wrt g.\nAnswer: -446665","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**3*t**(-1)\/t)\/((t\/(t**4*t))\/t**(-1\/2)) assuming t is positive.\nAnswer: t**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9962361?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c*o**3*s**3 - 2*c*o**2*s - c*o - 56*c*s**2 - c*s - 93*o**6 + 7*s**3 wrt o?\nAnswer: 12*c*s**3 - 11160*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-22)\/(-5) - (-4)\/(-10). Let a(p) = 2*p - 6. Let i be a(m). Suppose -i*y = y. Solve s - 3*j + 1 = -y*s, 0 = s + 4*j - 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 7:53 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 + 0.4. Let r = 0.443 - 0.774. Let v = r + s. Round v to 2 dps.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 342*p**2 - 180*p**2 - 165*p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/4153776 and -145\/6336?\nAnswer: 49845312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -20 and 0.1158.\nAnswer: -2.316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -243 - -599. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/(28\/8)*4. What is the highest common divisor of q and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 14229.\nAnswer: -71145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42669?\nAnswer: 3, 11, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/1784 and -105\/26.\nAnswer: 23192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 322*r - 7*r**3 + 325*r - 647*r.\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47474 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/4 + 103*i**2\/4 + 415*i.\nAnswer: i*(i + 20)*(i + 83)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 3*y**2 + 2*y + 2. Let j be a(-4). Is 226\/j + (-9)\/15 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19918*o**5 + o**4 + 44704*o**2?\nAnswer: 1195080*o**2 + 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 1:52 PM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - (-5 + 3 + 109). Let l = 110 + f. Solve l*j - 10 = 2*u, -4*u = -3*j + 11 + 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -895*l**2 + 12*l - 3*l**5 + 895*l**2 + (3*l**2 - 3*l**2 - l**3)*(2*l - l**2 - 2*l).\nAnswer: -2*l**5 + 12*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17690522 and 290.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1727 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 195.8 - 195.79. Which is the closest to -0.1? (a) -5 (b) -4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 3 - 33 = 0. Suppose s*c - 4*d + 3 = -1, 3*c + 2*d = 22. Solve -c*g = 4*z - 24, -5*z + 2*g = g for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8671126 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -10*q**5 + 4*q**3 - 7*q**2 + 4*q + 4. Let l(i) = -i**3 - i - 1. Let g(a) = 4*l(a) + u(a). Find the third derivative of g(k) wrt k.\nAnswer: -600*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3*l - 116 = 0. Let p = 997 + -1027. Let s = l + p. Calculate the greatest common divisor of 28 and s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 17. Let z = 7.954 - 1.954. Which is smaller: t or z?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 291 - 291.638. Let r = u + 0.6380259. Round r to 6 dps.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 87.9 - 88. Let o = -2.94 - 0.06. Let a = o + 4. Which is bigger: a or x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -4*n + j, 12*j + 1 = 4*n + 13*j for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57285871?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**7)**9 assuming t is positive.\nAnswer: t**63","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/706384 and -1\/5936.\nAnswer: 706384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3390\/11 or -0.0633?\nAnswer: 3390\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/148 and -55\/2?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b + 284 = -6*b + 2*j, 4*b = -4*j + 280. Is b a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 14*m**2 + 7. Suppose -5*i + 12 = -r, 3*i - 16 = -2*i + 3*r. Let t(z) = z**2 + 19 - 10 - 7 + 4*z**i. Calculate -2*a(c) + 7*t(c).\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1843895, 3687911, 5531927, 7375943, 9219959, 11063975?\nAnswer: 12907991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nen when three letters picked without replacement from {e: 1, g: 1, l: 1, n: 2, s: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26047, -26046, -26045, -26044, -26043?\nAnswer: -26042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 3*p - 4. Let l be w(5). Let f be 7\/((-21)\/l) - (-5 - 1). Calculate the highest common divisor of f and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.09300018 + -0.093. What is r rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + (26 - -42 - 20).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2007 - 1?\nAnswer: -2008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(28\/5))\/(y*((y\/y**(-3\/35))\/y*y)\/y*y*y)*y**(-9\/7)\/y**(4\/11))**50 assuming y is positive.\nAnswer: y**(11030\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 460020 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5578965 divided by 17711\nAnswer: -315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 51\/4 of a microgram?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34021089 a multiple of 2155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7284 - 1701*h + 1070*h - 1556 + 3808*h with respect to h.\nAnswer: 3177","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (33 - 3)*(-1)\/(-2). Let k be (-5)\/(r\/(-9)) - -2. Factor -p**3 - 2*p**5 - 2*p**k + 0*p**5 + 5*p**5.\nAnswer: p**3*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 8, 5, 9 in ascending order.\nAnswer: 5, 8, 9, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -2545, -5, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -73 + 140. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17*j**2*q**2 + 12*j**2 + 3304947*j*q**2 - 2491493 wrt q?\nAnswer: -34*j**2*q + 6609894*j*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5*n = -5389, -14*f + 6740 = -9*f - 5*n. Is 49 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(5\/4)*t*t**(-46))\/(t*t\/(t\/t**(-20\/11))*t\/((t*t**(1\/10))\/t)) assuming t is positive.\nAnswer: t**(-9423\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-14))\/(24\/(-14)). Let k(r) be the second derivative of 0 - d*r**3 + 0*r**2 - r. Calculate k(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*0.139.\nAnswer: 0.278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-306)\/(-15) - (-4)\/(-10). Suppose 0 = -3*y + 4*n + 23, 2*y + 5*n + q = -3*y. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12840203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**2 + 14*s**3 + 5143*s + 69*s**3 + 5148*s - 10291*s - 26*s**3.\nAnswer: 57*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -2*u**4\/3 - 3*u**2 - 7*u. What is the first derivative of r(j) wrt j?\nAnswer: -16*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6802365286.\nAnswer: 2, 3401182643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 528 - 527.9. What is the third biggest value in 6, 0, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 108 = -3*d. Let q = -28 + d. Solve -p + 1 = 3*l, 3*p + q = -l + 3*l for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6397 is divided by 44?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5758 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 3:55 AM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 7 + 0 + 0 + t**2 - 8*t + 3. Let o be p(7). Suppose 50 = -24*j - 46. Sort o, j, 0 in ascending order.\nAnswer: j, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 260 (c) -3 (d) -41652 (e) 1\/5 (f) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccngncncc. Give prob of sequence ncnc.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 60.6 - 52.3. Round k to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 9.707, 3, 0.055?\nAnswer: 9.707","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, k: 1, v: 1, f: 6}. What is prob of sequence vfl?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.57 + 0.77. Let u = 1.8 - 2.8. Sort 15, u, l.\nAnswer: u, l, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*z + 11 + 16 = -3*u, -5*z + 4*u + 17*u - 1 = 17*u for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 5*k - 2*w, 4*k + 7 - 11 = -w for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -9885\/31 > 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.128 + -0.072. Which is the closest to y? (a) -4 (b) 0.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 9*j**2 + 8*j - 6. Let a be d(-8). Let i(v) = v - 2. Suppose 5*w - 36 = 14. Let z(t) = 9 - 6*t + w - 8. Determine a*z(g) - 33*i(g).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.68*-0.04\nAnswer: -0.0272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7451, -7342, -7059, -6518, -5635, -4326, -2507, -94?\n\"Answer: 14*k**3 + 3*k**2 + 2*k - 7470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o**3 + 4 - 2*o**3 - 2 + 4*o**3 + o**2 to the form j*o**2 + n*o**3 + z + v*o and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2*i - 10 = 0, 8 = -0*a + 4*a + 2*i. Suppose -a = -2*j - j. Calculate the smallest common multiple of (-4)\/(-1) - ((2 - 3) + -3) and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 + 0. Let w = 5.2 - 2. Let a = -3 + w. Which is bigger: k or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r - 3. Let i = -16 + 19. Let x(k) = 16 - i + 2*k - 6. Suppose 3*f = -3*m + 9, -f - 2*m + 1 - 2 = 0. Calculate f*g(w) + 3*x(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + n + 58 = 0, -3*n - 12 + 3 = 0. Factor 33*t**2 + 9*t**4 - t**4 - 9*t - 20*t**4 - 13*t**3 - r*t**3.\nAnswer: -3*t*(t + 3)*(2*t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from psthypstf. What is prob of sequence ts?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1125208 divided by -283.\nAnswer: 3976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -20\/367?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108371 is divided by 118.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 10*p**2 + 8*p - 27. List the prime factors of c(11).\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 569 divide 3796566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -8*d + 17. Let k(g) = 7*g - 15. Let h(v) = -6*k(v) - 5*z(v). Determine h(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4493051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -313, -953, -1593, -2233, -2873, -3513?\n\"Answer: -640*a + 327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.07 + 6.16695041199?\nAnswer: 4.09695041199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of -3*w**4\/4 - w**2. Let s(h) = 33 - 67 + 34 - h. Let z(v) = 6*q(v) - 102*s(v). Let a(n) = -2*n. What is a(z(t))?\nAnswer: 12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than -1069550601674727?\nAnswer: -1069550601674722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 70 = -2*h - 2*s, -s - 14 = h. Let q(d) = d**3 - 7*d**2 + 11*d + 11. Let p be q(7). Let l = p - h. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 + 7. Let x be 52\/z + (-2 - -1). Are x and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6 + -8)*5\/(-25). What is the biggest value in -1\/7, -8, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*s - 8*s - 12. Solve -2*f + 3 = 5*y, 0 = 3*f + f - s*y + 8 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 7*q**2 + 8*q + 12. Suppose 0 = -2*s - 3*s + l + 1, 1 = s - l. Suppose s = -4*v - 45 + 29. What are the prime factors of j(v)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 607643362 + 2?\nAnswer: 607643364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 3:22 AM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r**2. Let b = 12 - 10. Let m(o) = b - 5*o + 7*o - 2. Determine m(w(p)).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2. Let m = 5 - 9. Let r = m + 5. Let q(j) = r - 1 - 5*j**2. Calculate n(q(w)).\nAnswer: -25*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 7 + 2*c**3 - 13 - 2*c**2 + 1 - 3*c**2. Let y be x(3). Suppose 3*s + y*l - 13 = -3, 2*s - 3*l + 16 = 0. Let t(p) = -5*p - 1. Calculate t(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-5*-3*(sqrt(704) - sqrt(44))**2 + 3)*-5.\nAnswer: 89085","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -7*x - 4 + 7*x + x - 3*x. Let u(j) = -j - 2. Calculate 4*f(o) - 9*u(o).\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a hour in minutes?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -232373823.\nAnswer: -1161869115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -483*g - 1 = -482*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -3*a**5 + 76*a**4 - 377*a**3 - 796*a**2 - 340*a = 0.\nAnswer: -1, -2\/3, 0, 10, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2 + sqrt(3) - sqrt(3)) + sqrt(3))*6*-6.\nAnswer: -72 - 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 16*y - 120 = 0. Let u be y\/7 + 8\/28. Factor 9\/5*p + 21\/5*p**3 - 36\/5*p**u + 6\/5.\nAnswer: 3*(p - 1)**2*(7*p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (76 - (-32 - (-45 - 2))).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-47)\/(-5) + 18\/30. Suppose -92 + 70 = -2*s. Which is smaller: k or s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/1809 and 179\/860850?\nAnswer: 173030850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o. Suppose 0 = -3*a - 6, -4*s + 36 = -2*a. Suppose -4*k - t - 2 = 0, 4*t - 16 = -s. What is j(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -75523 + 108808. List the prime factors of f.\nAnswer: 3, 5, 7, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k - 8 = k, -2*c = -5*k - 15893. What is the remainder when c is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 + 8086830*m + 8086833.\nAnswer: -3*(m - 2695611)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r**(-11)\/r)\/r))\/r*((r*r**(-41)*r)\/r)\/r*r**(-12)*r*r*r\/r**(-13))**(1\/2) assuming r is positive.\nAnswer: r**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 + 0.8. Let k = m - 1. Let x = -2.17 - -0.17. Are x and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (76 - 3*g**2 - 76)*(-2 + 3 + 1)*(17 - 17 - 4*g).\nAnswer: 24*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 - 56 = -4*q. Suppose -19 = w - 4*w - 5*i, -q = -3*w - 3*i. Calculate the least common multiple of w and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3\/2 - 342*f**2 + 25992*f - 658464.\nAnswer: 3*(f - 76)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -22 - 23. Let c = u - -15. Solve -3*n - n = c for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fldllflflfyfbfdll. Give prob of sequence fl.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2762?\nAnswer: 2, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 2:19 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**4\/7 - 10*d**3\/7 - 16*d**2\/7 - 8*d\/7.\nAnswer: -2*d*(d + 1)*(d + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -44*g + 117*g**2 - 219*g**2 + 106*g**2.\nAnswer: 4*g*(g - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 8*j - 9. Let i be 1\/(-2)*12\/(-1). Let z be d(i). Let q = 57 + -55. What is the greatest common divisor of q and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 239714405 a multiple of 1355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.147 * 11991.\nAnswer: 1762.677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-172)\/84 + (-4)\/14 - -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65663 and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 722 and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4*a = 912, -5*m = -16*a + 18*a + 1520. Let l = m - -323. Solve 13*x = l*x - 6 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 4*o = 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 821 and 27.\nAnswer: 848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.04 + -3.04. Let n = 148.709 - -0.291. Let q = n + -148. Does q = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -45*u + 4. Let d be s(3). Let j = 272 + d. Is j a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -598 - -562. Let t = 24 - 73. Let s = z - t. Does 13 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 68 + -37. What is the greatest common factor of u and 279?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 43*m**2 - 1822*m + 78335. Calculate i(43).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5*n + 1665 = 0, 0 = 14*x - 16*x - n + 669. Calculate the greatest common factor of 105 and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 5*v**2 + 3*v - 1. Determine l(3).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 6430?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1903, 8033, 18249, 32545, 50915, 73353, 99853, 130409?\nAnswer: 165015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -171*v - 1373. Give j(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 110.7 from 5.\nAnswer: -105.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 14 - 114 = 0. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + v**2 - 2*v - 4. Give a(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-84)\/(-14))\/(1\/18). Suppose 0 = 4*v - 4*i - x, 3*v - 165 = -2*v - 5*i. Is v a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 125605, 125586, 125533, 125428, 125253, 124990, 124621?\nAnswer: 124128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-72)\/(-126)*7\/2. Let m(f) = -5 + f + 3 + 3. What is m(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/13, -0.2, -0.5, -10\/17?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3774)\/1850)\/(-51))\/((-1)\/(-925)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1410111409047867\/36272 + -38876031352. Let y = x + -3\/9068. Calculate the common denominator of 85\/2 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 196, 197, 198, 199?\nAnswer: 200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 273 + (-593 - -239) - (1 - 6)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bwvwqobsqqqqwqqsoqbq. Give prob of picking 1 w and 2 q.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3734015\/44 - -84831. Let g = p - -360\/11. What is the fourth smallest value in -4, g, -2\/3, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1973, 7889, 17749, 31553, 49301, 70993, 96629?\nAnswer: 126209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 y, and 1 g when three letters picked without replacement from ghugoogouutygo?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3057*y + 10 - 3053*y - 7.\nAnswer: 4*y + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 142*n + 2*n**3 + 13*n + 257*n + n**2 - n**2 + 2*n**3 + (-n**2 - 2*n + 2*n)*(-n - n + 0*n) - 4*n**3 + 0*n**3 + 5*n**3.\nAnswer: 7*n**3 + 412*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 517 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 133831349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 349.31 (b) 3\/20 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42 + 37. Let q be 14\/35 + (-9643)\/s. Let a = -92597\/48 + q. Calculate the common denominator of -91\/30 and a.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*h - 11*h + 3636000. Round h to the nearest 100000.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 237\/5 - ((-76)\/10 + 8). Suppose -53*t = -z*t + 54. Which is smaller: t or 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 396362.2631 to the nearest one thousand.\nAnswer: 396000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1924 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iwwbbhwirw. What is prob of picking 2 b and 1 r?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2395714l in millilitres?\nAnswer: 239.5714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4049\/27 - -150. Let t(k) be the second derivative of 0*k**2 + 5*k - 1\/54*k**4 - l*k**3 + 0. Factor t(r).\nAnswer: -2*r*(r + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dryened. What is prob of picking 1 n and 1 y?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 166*d - 4. Let r(p) = 166*p - 2. Calculate -3*r(o) + 2*w(o).\nAnswer: -166*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 b when four letters picked without replacement from {b: 18, n: 2}?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -156.891816 rounded to the nearest ten?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 50606, 3\/2, 1, -5\/2, -3 in descending order.\nAnswer: 50606, 6, 3\/2, 1, -5\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 i when three letters picked without replacement from fififbbfbfiiffif.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.78897 times -2.61\nAnswer: -2.0592117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {b: 9, k: 2}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14869116?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h*h**(-18\/5)*h))\/(h*h**1))**(2\/61))**(-33) assuming h is positive.\nAnswer: h**(-198\/305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.55*-199.\nAnswer: -905.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -87, -0.09, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**37*f)\/f*f)**35 assuming f is positive.\nAnswer: f**1365","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/791 and -3\/2207597.\nAnswer: 249458461","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -3*b**3\/2 + 13374786*b**2 - 26749569*b\/2 = 0.\nAnswer: 0, 1, 8916523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 192 and 44.\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 14 = 169*w - 171*w, -10*t - 16 = 2*w for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 * 44.\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g + 7 - 2*g - 3*g**2 + 3*g**2 - 4*g**2 - g**3. Let q be n(-5). Round q to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h + 17. Let m be r(-8). Let y = -12871 + 12868. Sort 2, m, 22, y in decreasing order.\nAnswer: 22, 2, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5500 is divided by 686.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17.8686284352 - 300.1723416008. Let p = v - -0.042360036. Let l = -318 - p. What is l rounded to four dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**25)**(-38) assuming u is positive.\nAnswer: u**(-950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/2945 or 0?\nAnswer: 1\/2945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 6*y + 2. Suppose 2*a + 74 - 70 = 0. Calculate s(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 344*s**3 + 354*s**3 + 2*s - 243*s**3 - s.\nAnswer: 455*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -3*y**5\/5 - 3*y**4\/4 - 2. Factor f(l).\nAnswer: -3*l**3*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(847) + -2)**2 + (sqrt(847) - (sqrt(847) - 6*(-2 + sqrt(847))))**2.\nAnswer: -1628*sqrt(7) + 31489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 i when two letters picked without replacement from {i: 7, h: 5}.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 613351085 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19.49 + 0.51. Let u = p - 19.98. Round u to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand y + 2*y - 4*y + (-y - 4*y + 4*y)*(-4 + 4 + 1) + 0*y + 4*y - y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s - 5818 + 1123*s**3 - 1121*s**3 + 27714 - 2*s to m + f*s**2 + u*s + w*s**3 and give m.\nAnswer: 21896","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -263 - -266. Suppose y*t - 1257 = -j, -2*t - 5*j + 571 = -267. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/565985 and -41\/32445.\nAnswer: 5093865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/6620 and -113\/37734?\nAnswer: 377340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 85 and 1343.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -39*x + 27*x. Solve g = 5*h - 24, 2*g - x*h + 6*h - 8 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 496 and 155?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.423707*8.\nAnswer: 3.389656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4*x**4 - 6*x**3 + 7. Let a(w) = 3*w**4 - 5*w**3 + 6. Let h(j) = 6*a(j) - 5*k(j). Differentiate h(p) wrt p.\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/357 and -53\/133.\nAnswer: 6783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.10104 + 20.\nAnswer: 20.10104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 5*z = -0*z - 91 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((257 - -3) + -2)\/((-6)\/(-8)). Let p = u + -206. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.308 (b) 2 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-1)*w)**(2\/25)\/(w\/(w*w\/(w*w\/w**(2\/27)))*w**3) assuming w is positive.\nAnswer: w**(-2596\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(-25)*-1*15. Let g(u) = -u**3 + 6*u**2 + u - 2. Calculate g(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 115821 + 9969. Let d = f + -125729.967. Let g = d - 60. Round g to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.649873 + -0.2.\nAnswer: -0.849873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/7)\/((-4)\/8)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18737 or 17843?\nAnswer: 17843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -9.449 times 0.133\nAnswer: -1.256717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 63605 to the power of 1\/2, to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -11 - 5*q + 16 + 8546*q**2 - 8551*q**2 + 23*q**3. Let l(p) = 11*p**3 - 2*p**2 - 2*p + 2. Give -15*l(b) + 6*u(b).\nAnswer: -27*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 100.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21.4 - -21. What is the closest to -1 in b, 0.1, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 10:12 AM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -17. Let q = 7 + c. Let l = 3 - q. Solve 4*m + 4*p = 0, 2*m + 0*p - p + l = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, r: 1, w: 2, q: 1, b: 1, s: 1}. Give prob of picking 1 r and 1 q.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0087975305 to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1936 + 2019. What are the prime factors of z?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/7 and -2.07 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 5*b = 95, 0 = -4*b + 1 - 13. Let n = l + 18. Let c = 35 - n. Solve -2*t = -t + c for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/(-40)*(-2420)\/165*(-1)\/(-6).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8586 and 1325?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 92061424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**3\/6 + 482541*o**2\/2 + 20267604*o + 425625858 = 0.\nAnswer: -42, 1447707","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1896*x**2 - 3796*x - 8.\nAnswer: -4*(x + 2)*(474*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 809608, -0.4, 0.2 in ascending order.\nAnswer: -0.4, 0.2, 809608","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.197 - -0.287. Let t be (24\/(-80))\/(18\/8). Which is smaller: t or u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0)**(-3\/10)\/(c**1\/(c\/(((((c**(-2\/11)*c)\/c)\/c)\/c)\/c)))*((c*c**(3\/7)*c)\/c**(-2\/19))\/(c**(-4\/5)*c**4) assuming c is positive.\nAnswer: c**(18402\/7315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 212734122, 212734120, 212734118, 212734116, 212734114?\n\"Answer: -2*v + 212734124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(11) + 1) - sqrt(11))**2 + -3.\nAnswer: 12 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -153?\nAnswer: -153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203924108?\nAnswer: 2, 601, 84827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 573 a factor of 5466993?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 3:40 AM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 + 31. Suppose 4*z - k = -2*k + 12, 2*z - 3*k = -8. Sort w, -4, z, 3 in decreasing order.\nAnswer: 3, z, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1478 = -21*f - 1924. Let j be f\/(-405) - 329\/860. Which is greater: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(1575) + sqrt(63)))\/sqrt(9))**2 - (-2*sqrt(7)*-2 + -1)**2.\nAnswer: 8*sqrt(7) + 6187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m - m + 2*m - 5*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23056366?\nAnswer: 2, 11528183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.9 - 0.7. Let t = b + -8.2. Let h = -8.1 - t. Sort 2, h, -3 in descending order.\nAnswer: 2, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 6. Suppose -g*r - 4 = 0, 44 = -5*d - 4*r + 190. Solve 4*m + n - 22 = -2*n, -5*m = 5*n - d for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5*h = -7*t + 395, 4*t - 307 = 5*h. Suppose -10*l = -9*l - t. Is l a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**2 + 0*y**2 - y**2 + (0*y + 2*y - 4*y)*(5 - 5 - 4*y).\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -85, -168, -251?\n\"Answer: -83*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 7 = 2*o, -2*f - 140*o + 8 + 22 = -135*o for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 4*r = 4*t - 16, -2*t = -5*r + 20. Let q = -2.737 + 1.737. Which is the closest to 1\/3? (a) -0.2 (b) 5 (c) q (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -2. Let a(q) = -13*q - q**2 + 2 - 7*q**3 - 4 + 1 + 12*q. Let m be a(-1). Solve -f*d - v = 0, 2*d = -4*v - m + 20 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9943, 9913, 9869, 9811?\nAnswer: 9739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7140 and 60375?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -24 - -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 7*k - 2. Calculate f(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 3*p = -9, 11446 - 11440 = -3*z + 3*p for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -400 = -299342*r + 299292*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -229*s**3 + 17886*s**3 - 10356*s**3 + 20416*s**3.\nAnswer: 27717*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -247 by 6.\nAnswer: -247\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.12 and 22856?\nAnswer: -2742.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1078 - -1079. Is 12\/55 at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) -1\/3 (c) -3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.29 - 0.316. Let v = 0.0260047 + x. Round v to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -138*c - 3033. Let n be y(-22). Solve 2*t + 10 = 0, -4*t - 23 = -n*b + 12 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 5*r = 55, -2*j - 212 = -4*r - 246 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 86891 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 59 + -45 + (-4 - -7 - 4)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -4*j**4\/5 - 132*j**3\/5 - 252*j**2 - 540*j = 0.\nAnswer: -15, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 2*i + 2*v, 4*i - 56 = v + 3. Let f be -2 + 4330\/(-45) - 2\/(-9). Let h = 107 + f. What is the remainder when i is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2.19 (b) 1 (c) 0.01 (d) 4\/7 (e) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 - 212 = -7*c. Let j(a) = c*a + 21 + 19 - 40. Let g(k) = 6*k. Give j(g(t)).\nAnswer: 114*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*a**4*s + 18*a**2*s + 3*a*s - 14*a wrt a?\nAnswer: 72*a**2*s + 36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 30439622784155 and 1.\nAnswer: 30439622784156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 75299280 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24809*m**2 - 65210*m wrt m?\nAnswer: 49618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1125 divide 55139335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.1 + 1.1. Let g = 66.1 - 62. Let t = g + h. Which is the closest to t? (a) 1\/2 (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p - 13*p = 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5921)\/(-955))\/(((-18)\/60)\/3).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2758*(1 + 5128 + -1). Let l = w - 24140654. Let d = l + -402370. Round d to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57740363+-64067.8\nAnswer: -57804430.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -y - 3*y - 2790, 5*p - 6959 = 2*y. Suppose 4*m - p = 1117. Calculate the greatest common factor of m and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 10 = -4*g - 3*k, -g + 14 = 5*k. Let x = g - 1. What is the smallest value in x, -0.4, -1\/11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**2. Let w(x) = -7*x + 4. Let d(h) = h + 1. Let y(l) = -4*d(l) + w(l). What is y(z(c))?\nAnswer: 22*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 = 16*l - 463. Let t be 27*(16\/4)\/4. Let v = l - t. Calculate the least common multiple of 4 and v.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9527.4681 - 9530. What is t rounded to one decimal place?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2. Let p(v) = v**3 + 7*v**2 + 2. Let u(j) = p(j) + 3*w(j). Is u(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -307, -875, -1717, -2839, -4247?\nAnswer: -5947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1464 and 49593?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -245*p**4 - 79730*p**3 + 125735*p**2 - 52300*p + 6540 = 0. Calculate p.\nAnswer: -327, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20.9 + 21. Which is the smallest value? (a) n (b) 3\/7 (c) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1521 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + -2 + -6)\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 10:53 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of -13*d**4\/12 + 5*d**3\/3 + 4*d**2 - 11. Differentiate b(o) wrt o.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(-2)*u)**(-16))**(14\/9))**42 assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 3\/7, -0.1, -2\/5, -2, 289?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6188386?\nAnswer: 2, 53, 79, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-4))\/(10\/4). Let z = 47.513 - 47. Let c = -0.013 + z. What is the nearest to 0 in f, c, 0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)*2*1)\/sqrt(11).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**0)**(7\/2)\/(g**1)**(13\/5) assuming g is positive.\nAnswer: g**(-13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.1 from -79088.\nAnswer: -79089.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201425829 is divided by 591.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*j - 4*i + 22, -3*i = 5*j - 44. Calculate the greatest common factor of j and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1617))\/(sqrt(108)*-2) - (-1 + sqrt(275)*-1*-6).\nAnswer: -187*sqrt(11)\/6 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3302*c + 6422*c + 861 = 3407*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/3 of a minute in seconds?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -n**5\/10 - 4*n**3\/3 + 5*n. What is the second derivative of s(w) wrt w?\nAnswer: -12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.656 + -2.614. What is the closest to 2\/5 in 0, -0.2, -0.4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*d - 481 = 0, 110*h + 969 = 112*h + d. Is h a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1308 + -1344 - (-44 - 2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 4*l**2 + 4*l - 1. Let i be u(3). Suppose -t + 5 = 2*v - 2, i*t - 6 = 0. Is 2 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/7 equal to 3.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of 0 - 53*k + 0*k**2 + 0*k**3 + 1\/6*k**4. Let j(y) = -y. Give j(n(q)).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_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: What is the lowest common multiple of 22 and (12\/10 - 14\/(-35))*135?\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a + 5*v = -5*a - 5, -4*a + 4*v - 28 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from tbatabttttbatbtbb?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-91)\/14 - -11)*(5 - (-417)\/(-81))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30 - 6) + 40 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -34300?\nAnswer: 34300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -193*d**3 + 6*d**2 - 22*d + 48. What is h(2)?\nAnswer: -1516","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(228)*-4*-1)\/(sqrt(96)\/(sqrt(72) - sqrt(8))))**2*6*5.\nAnswer: -960*sqrt(19) + 36600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 441414 - -450?\nAnswer: 442064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-20)*((28 - 17) + 9 + (-238)\/21)?\nAnswer: 39\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11659691\/2351544 + -2\/97981. Find the common denominator of 101\/6 and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -3*h + 1 - 10, -2*h - 11 = f. Let b = 5 - f. Is b a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**4\/7 + 30*y**3\/7 - 18*y**2 + 170*y\/7 - 72\/7 = 0?\nAnswer: 1, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -364*s**2 - 169*s - 169. Let u(p) = 13*p**2 + 6*p + 6. Give 6*t(v) + 169*u(v).\nAnswer: 13*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3080, -3, -1 in decreasing order.\nAnswer: 5, -1, -3, -3080","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21128 is divided by 1318?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 + 33. Let a be 1\/(((-65)\/(-20))\/o). Solve 2*j = a*w - 6, -5*j - 6 = 2*w - 3*j for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**4\/4 - 691*h**3\/2 - 77370*h**2 - 9463309*h\/2 + 19237481\/4 = 0. What is h?\nAnswer: -1121, -131, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20315?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 358*z - 405*z + 72. Solve -n = -z*s + 5*s + 12, 4*s + 4*n = -24 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 850 = -5*r + 775, h + 27 = -2*r for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -332432 (base 5) in base 14?\nAnswer: -433b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m**2 + 9*m + 6. Let s be n(-3). Suppose -5*i + 213 = 3*b - 0*b, -4*b = -i - 261. What is the lowest common multiple of b and (-22)\/4*(4 - s)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 288 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -13*d**2 + 4*d - 13. Calculate a(4).\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z - 5. Let b be m(-6). Suppose -4 = -3*l - 1. Let g be 1\/l + (5 - 1). Calculate the highest common factor of g and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 391 = -132. Calculate the remainder when k is divided by 1\/(-4) - 53\/(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 73526, 147050, 220574, 294098, 367622?\n\"Answer: 73524*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7373 and 707?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36428*w + 5*v + 1 = -36432*w - 3, 4*w = 5*v + 36 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {t: 4, z: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 3*o + 2. Suppose -3 - 1 = -c. Suppose 14 = 2*p + 2*h, c*p - 6*h = -h - 17. Let b be n(p). Is 2\/13 at most b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 - 32*b + 75. Determine g(-35).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 48?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19490994*i**5 - 2299*i + 532.\nAnswer: -389819880*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(102)\/sqrt(6)*-2.\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -8 (b) 2\/7 (c) 4 (d) 2\/359\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1479 - -1510. Calculate the remainder when o is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3156 (b) 0.5 (c) 5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 22 = 4*w, -4*w = -5*w - 3*j + 2. Solve 0 = d - w*d - 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891)*-1 + 4 + (sqrt(891)*-2 + -1 - sqrt(891)))**2 + -3*(sqrt(77)\/sqrt(28) + 5)*-6.\nAnswer: -207*sqrt(11) + 14355","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 23 - 3*h**2 - 2*h**2.\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-10)*-2*4\/30*-1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4061690 times 1\nAnswer: -4061690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -0*m. Suppose -16 + 21 = 5*v + d, -v - 5*d = 23. Suppose m*w + 2\/3 - 2\/3*w**v = 0. Calculate w.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25718, 25758, 25798, 25838, 25878, 25918?\nAnswer: 25958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.1? (a) 27 (b) -3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 30*m + 27. Let h be l(-29). Does 23 divide 70 + 0 + h + 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 7 = -9*m + 6*m, -16 = -3*h - 2*m. Put 1\/11, h, -1, -0.1 in increasing order.\nAnswer: -1, -0.1, 1\/11, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-12)\/(-120)*-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39521.\nAnswer: 39521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/(sqrt(22)\/(sqrt(22)\/sqrt(2))))\/(-3*-2*sqrt(1331)) + 0.\nAnswer: sqrt(2)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 943\/8 + -118. Put -0.09, 0.5, f, -1 in ascending order.\nAnswer: -1, f, -0.09, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35288\/(-616) - -48 - (0 + (-2)\/7).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3120 - 3122. Which is greater: m or 3963?\nAnswer: 3963","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3545, -3476, -3407?\nAnswer: -3338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 818, 1531, 2120, 2585?\n\"Answer: -62*t**2 + 899*t - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6742116 - -54?\nAnswer: -6742042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 127416.\nAnswer: 382248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*l - 3*w - 2 = -25*l, 0 = 3*w - 3 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9\/(-12) - -1) + 2\/(-8). Suppose -1 = n - k - w*k, 0 = -5*n + 4*k. What is the tens digit of (-220)\/(-6)*6\/n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**2 - 17*y + 6. Let c be p(-8). Let b(z) = 20*z**2 + 1. Let d be b(-1). Calculate the greatest common factor of c and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/7 - (-974)\/(-28))*22\/(-33). Put b, 0, -2, -3, 4 in descending order.\nAnswer: b, 4, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/sqrt(4)*-4 + -3 - 2*(sqrt(91)\/sqrt(63) + sqrt(13)).\nAnswer: -20*sqrt(13)\/3 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141682 = -4354*j + 25581 - 29167 + 218932 for j.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -198.121 - -198. Let a = x - -0.477. Round a to two dps.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d - 446 = -641. Solve 2*i - d = -13 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20898 and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71622 is divided by 18.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 256.48809 + 237.40947. Let p = 0.00244 + h. What is p rounded to the nearest 10?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/135)\/(10\/(-15)) + 2948\/(-110)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 185*u - 2 - 389*u + 3982*u to the form c*u + d and give c.\nAnswer: 3778","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -145 - 137 + 2*m**2 + 281 + 74*m**4 to j*m**2 + q + o*m + v*m**3 + k*m**4 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42.04 - 38. Let l = 109.2 + -143.26. Let g = p - l. What is g rounded to 0 dps?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14348159?\nAnswer: 7, 23, 89119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 13634 = 23*l. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24416 and 239582.\nAnswer: 1526","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 11, 16, 17, 8, -17, -64, -139?\n\"Answer: -l**3 + 4*l**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 9. Let v be l(0). What are the prime factors of (-66)\/(-10) - v\/(-15)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*k = -1710 - 144 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 20*l + 9. Let h(c) = -7*c - 3. Let a(r) = -8*h(r) - 3*s(r). What is the remainder when 33 is divided by a(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than 1.48068331?\nAnswer: 1.28068331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6527, 13053, 19579, 26105, 32631?\nAnswer: 39157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 4*r**2. Let l(w) = -136909786*w. Give g(l(z)).\nAnswer: 74977158010263184*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 6 - 0. Suppose -1 = -p + a - 0, 0 = -5*p + v*a + 15. Let z = -4110 - -4115. Solve -4*g = -4*l - 8, -p*g + z*l + 13 = -2*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2752596.6 nanoseconds?\nAnswer: 0.00004587661","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 4*d**2 + 4*d - 1. Let t(g) = 7*g + 4. Let v be t(-1). Give u(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, l: 7, d: 2}. Give prob of picking 1 l and 2 d.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-56)\/21*(-6)\/4. Suppose a = 48 - g. Is 11 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 40 + 2?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 16168 and -1.75440374.\nAnswer: 16166.24559626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) 1\/5 (c) -1151\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 6471717?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l + 1. Suppose 6*r = 3*n + r + 13, n + 5*r = 9. Let o be (-6)\/(-21) + (-19)\/(-7). Let g(d) = -4*d + 1 + 6*d**2 + 5*d - o*d**2. What is n*g(a) + m(a)?\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -9 + -4 + 1 - -4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0029646113 and -0.1.\nAnswer: -0.0970353887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from joqqipz. What is prob of picking 1 i, 1 o, 1 z, and 1 p?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 7646?\nAnswer: -764a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1643216?\nAnswer: 2, 102701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 6*v - 499 = 0, -p - 5*v + 140 = 34. What is the highest common factor of 101 and p?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -3 (b) -68 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 618776 is divided by 1659.\nAnswer: 1628","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - d = -2. Suppose 0 = -2*o - 2*u - d*u + 8, 5*u = 5. Suppose -p - 19 = -o*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 7 - 311*o - 18.\nAnswer: -311*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -1. Let v = -1264\/9 + 835\/6. What is the common denominator of v and ((-58)\/(-8))\/((-1)\/i)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000304 rounded to 6 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -866.58 - -0.142.\nAnswer: -866.438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 4*a**2 - 5*a + 4. Let i(z) = 2*z**2 - 3*z + 2. Suppose 84 = 3*t + 69. Let q be -3*(1 - 1 - -1). Calculate q*c(g) + t*i(g).\nAnswer: -2*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**6\/n)\/n*n*n**(-2\/41))**(3\/8) assuming n is positive.\nAnswer: n**(609\/328)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(343)*-2*2)**2 + (sqrt(343) - (sqrt(343) + 1)*5 - ((sqrt(343) - sqrt(343)*-1) + sqrt(343) - sqrt(343))*-3)**2.\nAnswer: -140*sqrt(7) + 17861","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 + 2*u**4 + u**2)*((2 - 4 + 3)*(5 - 4 + 0) - 3 + 0 + 4 - 2 - 1 - 2).\nAnswer: -6*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 7*o - 9*o)*(-2*o - 2*o + 0*o)*(-7*o + 2*o - 5*o).\nAnswer: -680*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 9:56 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 - -4.2. Put n, 4\/7, -0.04 in increasing order.\nAnswer: -0.04, 4\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, u: 1, k: 2, q: 5, x: 3, y: 1}. Give prob of sequence xxh.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vhlv when four letters picked without replacement from {f: 4, j: 1, v: 3, l: 7, h: 1}?\nAnswer: 1\/1040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47.098 - 0.098. Let q = 191851.09906 + -191898.1. Let j = h + q. Round j to 4 decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -2, 28, -147617 in increasing order.\nAnswer: -147617, -2, 2, 3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.01 + 4.01. Let i = -3 + p. What is the second biggest value in -0.3, -4, i?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 10. Let h(u) = -u**2 + 3*u + 5 - 24*u**v - 3 + 20*u**3. Let r(l) = 0*l + 4*l - l**3 - 3*l. Give -h(k) + 3*r(k).\nAnswer: k**3 + k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - j = 3*k - 4*k - 2*j - 17, -45*j - 45 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (19 - 16 - 20) - (-17 - 2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away 23119.03?\nAnswer: -23120.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10426*i + 12603*i + 63133 for i.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 6*b**3 + b**2 + 7*b - 2. Let p(n) = -5*n**3 - n**2 - 6*n + 1. Let q(l) = -7*p(l) - 6*v(l). Does 3 divide q(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222 is divided by 68?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7790449?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 950787.\nAnswer: 3, 89, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -78.28576 - -78.24. Round l to 3 dps.\nAnswer: -0.046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 270 a factor of 53730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7253291574.000000604 + 7253291617. Let j = -43 + z. What is j rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a - 4 - 40 - 12 = 0. Put 3, a, -17 in decreasing order.\nAnswer: 3, a, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 425 + 51. Let z = w - 287. What are the prime factors of z?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, x: 7}. Give prob of picking 2 w.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -y + 5, 12*y - 7*y - 5*k = 15 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**16)**(-2\/15) assuming j is positive.\nAnswer: j**(-34\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7634*j = 7379*j + 4590 for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -3720 equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 4:15 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a - 106. Determine j(-25).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 34 = 3*i. Let j(n) = 3*n**3 + 2*n**2 + 2*n - 2. What is the remainder when j(2) is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118\/(-413) - (-75)\/42.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 176351 and 118?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 + 7 = 7*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -11604 * 19\nAnswer: -220476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 9*u**3 + 2*u**2 - 15*u + 61. Let l(o) = 3*o**3 + o**2 - 5*o + 17. Let j(y) = -7*l(y) + 2*x(y). What is j(-3)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of 0*d**2 + 0*d**3 - 5*d - 11\/10*d**6 + 3\/2*d**4 + 0*d**5 + 0. Find the third derivative of y(v) wrt v.\nAnswer: -792*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*g = 1437, -3*m - 6*g + 2118 = -3*g. Is m a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 158 - 154. Suppose -a*j - 641 = -3*s + 378, -5*s + 1691 = -3*j. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3995834692?\nAnswer: 2, 227, 277, 15887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11.83 - -11.8. Which is the closest to -1? (a) 6 (b) 3\/4 (c) 3 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 615*v**4 - 974*v - 2*v**2 + 7181*v**4 + 968*v - 148 + 3*v**2 wrt v?\nAnswer: 187104*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2330623 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 839.3551 millennia?\nAnswer: 8393.551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14\/269 - 709\/1883. What is the fourth biggest value in d, -4, 3, 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(40)\/((-3*sqrt(64))\/sqrt(8))*2.\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/6*(-10)\/2. Suppose 4*j + 0*j = 12. Sort j, n, 2.\nAnswer: 2, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -3\/7, 0.1, 1.\nAnswer: -3\/7, 0.1, 2\/13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 31*u - 720 = 0. Calculate the lowest common multiple of u and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14.09 - 0.09. Let c = -13.8 + w. Is 0.03 at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 14 = -13*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1162, -2339, -3516, -4693, -5870, -7047?\nAnswer: -8224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1006.\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 6*z + 2. Let y be c(-5). Let t = -17 + 19. Suppose -3*m - t*m = 0. Sort m, y, 5.\nAnswer: y, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4214398 is divided by 600?\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + -2 + 0 + 3. Suppose 0 = -f + 3*g, -g - 11 = -n*f - 0*g. Suppose -4*x + 21 = 3*m, 3*m = 5*x + 2*m - 31. Solve x = f*c - 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1152113 at least as big as -1152114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 4*a - 69 = 0, -3*a = -3*m + 10 + 29. Calculate the greatest common divisor of m and 2040.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 29*l - 34 - 13 - 24*l.\nAnswer: 5*l - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*y - 50. Calculate the smallest common multiple of 8 and (4144\/185)\/((-4)\/y).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(170) - sqrt(170)*1)*4 + 6*sqrt(170)*2)\/(-1*sqrt(40)\/sqrt(4) - (sqrt(90)*-6 + sqrt(10))) + 1)**2*-1.\nAnswer: -169\/16 - 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-24)\/(-10) + (-2)\/5. Let w be (-16)\/8*(-2)\/4. Suppose -g + y + w = 0, -21 = 2*g + b*g + y. Put 1, g, 4 in descending order.\nAnswer: 4, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/18 - 534\/(-27). Let q = -10 + l. Does 10 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 w when two letters picked without replacement from wpphhphhhwrph.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -32903 times -26\nAnswer: 855478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -8*c - 6. Let i(f) = f**3 + 25*f**2 + 4*f + 96. Let s be i(-25). Let k(b) = -3*b - 2. Determine s*d(q) + 11*k(q).\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 11, 10.44?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 9*q**2. Let z be t(-9). Let w be 1736\/2220 + -1 + 4\/20. Which is greater: w or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-3*(-2)\/(-4)). Suppose p*r + 12 = 6*r. Solve 0 = -5*m + r*b + 11, -3*m = -2*b - 9 + 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -35*i**3 + 35*i**3 - 31*i**4 + (0 + 0 - i)*(-3*i**3 + 3*i**3 + i**3) + 2*i**4 - 5*i**4 + i**4 + (-2*i**2 - 2*i**2 + i**2)*(0 - i**2 + 0).\nAnswer: -31*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1043 - 629. Let g = s + -411. What is the nearest to -1\/4 in 0, 2\/13, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 6*b**2 - 32. Let p(c) = -2*c**2 + 16. Let y(v) = -o(v) - 2*p(v). Let n(t) = 3*t**2 - 6. Calculate y(n(s)).\nAnswer: -18*s**4 + 72*s**2 - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 4 + 0)*(-50*q**2 + 129*q**2 + 135*q**2) to the form g*q**2 + d*q + i and give g.\nAnswer: 856","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 661656 to the nearest integer?\nAnswer: 813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2724566, -2724568, -2724570?\nAnswer: -2724572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24801\/1181 + (-105 - (-5 - 0)).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 2:48 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 351780483?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4 + ((sqrt(130)*4)\/sqrt(10))**2 + -5) + -2 + -1.\nAnswer: 1239","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(144) + sqrt(144)*2)*5 - (sqrt(144) - 3*sqrt(144))*2)\/(sqrt(588)*-2 + sqrt(192)\/sqrt(4) + sqrt(12)))**2.\nAnswer: 4332\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 311 + 16 = 0. Is 5 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.017 times 5.9\nAnswer: 0.1003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/24341 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2895170 divided by -6506\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 484182, -1\/7 in increasing order.\nAnswer: -2\/3, -1\/7, 484182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 4:16 PM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - c + 40 = 0, 3*c = -3*v + 4*c + 132. Let n(x) = -x**2 + 38*x + 226. Let h be n(v). Solve 0 = 4*z - h*z - 7 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 3 = z, -5*s + 108813 - 108832 = -2*z for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 - -36. Which is the nearest to 1? (a) 5 (b) l (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 3*a - 2827, 289*a = 287*a + 10. What is the highest common divisor of 49 and s?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 1637.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 2*d - 2. Let s be h(4). Let t = 11 + s. Suppose -3*c - q + t = 0, -2*c = c - q - 11. Solve c*r - 5*j - 17 + 42 = 0, -20 = -4*j for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*m + 216 = -427 - 134. Solve 5*i - 9 = 15*f - 17*f, -6*f - m = -i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 1.5 (c) 1\/18790\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7544197 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -518.4 - -518. What is the third biggest value in -3\/4, -4.6, c, 0.4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18082 - -18324. What is the remainder when 748 is divided by f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -512, -523, -536, -551, -568, -587, -608?\n\"Answer: -u**2 - 8*u - 503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 1044 = 16*l. What is the remainder when l is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -1, 1, 29, -3 in decreasing order.\nAnswer: 29, 1, -1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 339001?\nAnswer: 13, 89, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6490694784 a multiple of 448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 860726.\nAnswer: 2, 607, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000060460544 to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cn when two letters picked without replacement from {q: 4, v: 2, c: 1, n: 3}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*x + 3 - 14 + 8 + 6 in the form k*x + m and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 199\/4 + -50. Let t = 12 - 28. Let u = -13 - t. Sort 0.5, s, u.\nAnswer: s, 0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 12187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 2*x**2 - 6. Let a(k) be the second derivative of -k**5\/10 - k**4\/4 - 7*k**2\/2 + 14*k. Calculate 2*a(s) - 3*i(s).\nAnswer: -s**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2123 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -77*j**3 - 3*j**2 - 18*j - 19768. Let c(z) = -39*z**3 - z**2 - 9*z - 9883. Let n(i) = 5*c(i) - 2*y(i). Find the first derivative of n(u) wrt u.\nAnswer: -123*u**2 + 2*u - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 837\/3906 + (-15467)\/(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -443557.4781 rounded to the nearest 10000?\nAnswer: -440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002328271154 to five dps.\nAnswer: 0.00233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 222659 to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j**3 - 3*j**3 - 6*j**3 + 4*j**3.\nAnswer: -10*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -145?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4760)\/425*315\/84?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 178 + -163 - (1 + -3 - -24)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 17 = -5*w. What is the remainder when 7 is divided by (27\/(-9))\/(w\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**5 + 10*p**4 + 13*p**3 - 22*p**2.\nAnswer: -p**2*(p - 11)*(p - 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 1:53 PM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3209 = 2*k - 3785. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -135139 - -17567743\/130. Let h = -1\/65 - z. Which is the nearest to -2\/5? (a) h (b) -1\/9 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t + 23*t**2 + 1 + 2*t - 3*t. Is z(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 t when three letters picked without replacement from {t: 12, v: 2, g: 5}.\nAnswer: 110\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 27 = -602. Suppose 5*c = -188 - 107. Let a = r + c. What is the greatest common factor of 8 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*(-1 + 0) + 8. Suppose -8*k = -3*i - 10*k + 27, -5*k = 0. Suppose 2679 = -b*g + i*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d**2 + 2*d**3 - d - 8*d**2 + 3*d in the form a*d**2 + k*d**3 + s + r*d and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -156.\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 124 - 122. Suppose 18*h = -38 + g. Sort -0.5, 0, h, 0.2.\nAnswer: h, -0.5, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3432.1 + 3432. Let p(z) = 8*z**3 + z**2 - z + 1. Let i be p(1). Which is smaller: f or i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2 + sqrt(80))**2.\nAnswer: -504 + 96*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - (-3)\/1 - (-1 - -4). Factor 55*l + 57*l + 5*l**2 - 114*l - r*l**4 + 4*l**3.\nAnswer: -l*(l - 2)*(l + 1)*(3*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -69*x**2 - 80*x. Let o(t) = 16*t. Let c(v) = -i(v) - 5*o(v). Let u(b) = -b**2. Determine c(u(y)).\nAnswer: 69*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 324 and 11763.\nAnswer: 423468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**2 + g + 4. Let j be h(0). Suppose 5*m - 6*k - 577 = -4*k, j*k + 452 = 4*m. What is the remainder when m is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3958*-0.2\nAnswer: -791.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15 + 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 2*p = -12. Let y be 7\/3 - ((-1)\/(-3) - 1). Let h be 8\/y - 2\/p. Solve 3 - 6 = -h*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 328 and 10796.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 190 and 6935.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6430 equal to 6430?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**5\/2 + 21*a**4\/4 + 3*a**3\/4 - 39*a**2\/2 + 21*a - 6 = 0 for a.\nAnswer: -2, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 128814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gw when two letters picked without replacement from {w: 1, g: 12}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 13110441 (base 5) in base 7?\nAnswer: 1044501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*q**3 + 14*q**3 + 14*q**3.\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 3639*g - 12 + 6 + 4 in the form y*g + n and give y.\nAnswer: 3639","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (10 - -1 - 9) + -6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -64538 divided by -2?\nAnswer: 32269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 2*g - 2*g)*((-4 + 3 + 0)*(-534*g**4 - 545257*g + 545257*g) + (2*g - 2*g**3 - 2*g)*(2*g - 2 + 2)).\nAnswer: -530*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of 7*u**4\/6 - u**3\/6 - 11*u**2\/2 - 4*u - 7. Let v(h) = -5*h**2 + 4. Give -4*k(b) - 11*v(b).\nAnswer: -b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 18\/5 of a kilometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x + 2298 - 26581 = 0. Suppose -x + 1033 = -3*b. Is 14 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q = 16*q. Suppose -o - 4*y = -4*o + 182, q = o - 5*y - 79. Calculate the highest common factor of 18 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 156, 619, 1396, 2487, 3892, 5611, 7644?\nAnswer: 9991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-9)*o*o*o\/(o*o\/o**3))\/(o\/((o*(o**(4\/3)*o)\/o*o)\/o*o)*o*((o*o*o\/o**7*o*o)\/o*o)\/o))\/((o**(-3)*o)**(-9))**24 assuming o is positive.\nAnswer: o**(-1298\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -548.3*-0.357\nAnswer: 195.7431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -245235*r + 1361*r**2 + 1478*r**2 + 8131 + 245235*r wrt r?\nAnswer: 5678*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**2 - 43770690*c + 159656108589675 = 0. What is c?\nAnswer: 7295115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*b = -155*b + 374402. What is the thousands digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -279161 + 20.16757.\nAnswer: -279140.83243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-28)\/(b*b**27)*b\/(b**(-2\/29)\/b)*b**(-31) assuming b is positive.\nAnswer: b**(-2463\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(((d\/(d\/(d\/(d*d**(10\/7)*d))*d))\/d)\/d))\/(d\/(d*d\/(d\/(d*d**(2\/51))))) assuming d is positive.\nAnswer: d**(2666\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 (base 10) in base 12?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -13 (b) 7 (c) 242 (d) 0.5 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*p + 42 = -2*k, -5*p = -3*k + 69. Let l(q) = 4*q - 4. Let u be l(-1). What is the remainder when -15*u*(-4)\/p is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48998771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 264 and 114675.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 1076*n**2 - 1074*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -63*u**3 - 80*u?\nAnswer: -378*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 7:41 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -27 (b) -1 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q - 14. Let v be l(5). Solve i = 4*i - v for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-4)*36\/(-27)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = j + 13 - 37, 2*n = -3*j + 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v. Let b(o) = o**3 - 9*o + 17. Let h(x) = -b(x) + 3*g(x). Let s(z) be the first derivative of h(z). Let n(a) = -2*a. Determine n(s(r)).\nAnswer: 6*r**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 7*f**2 - 4*f + 8. Let u(z) = 3*z**2 + 9*z + 7. Suppose -w - 10 = 2*x + x, -5*w - 20 = 5*x. Let y be u(x). What is s(y)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2\/5 - 2008*n\/5 + 5844.\nAnswer: 4*(n - 487)*(n - 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/(sqrt(63)\/sqrt(7)*-2) + (sqrt(133)*4*4 - sqrt(133) - sqrt(133))\/sqrt(7).\nAnswer: 27*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 27*j - 297. Calculate the remainder when z(-38) is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/(-153)*6\/9.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 7. Let g(o) = 3*o - 2. Let p(x) = x - 1. Let u(h) = 2*g(h) - 5*p(h). Let w be u(2). Solve w*a = -k*a - 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.022 and -11.\nAnswer: 0.242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11033 - -51762. What is the hundreds digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of 5\/2*h**3 - 13\/10*h**5 + 0*h**4 + 0 + 4*h + 0*h**2. What is the second derivative of q(a) wrt a?\nAnswer: -156*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 381 is divided by (-2 - 57\/(-6))*(-484)\/(-66).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -41998.\nAnswer: -5\/41998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 898 = 2643. What is the second derivative of t*p**4 + 23*p - 20*p**5 - 3541*p**4 wrt p?\nAnswer: -400*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 4*k + 4. Suppose 9 + 3 = -3*s. Let v be d(s). Solve 5 = g + v*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12.3 + -10.3. Which is the second biggest value? (a) -0.2 (b) w (c) 2\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 77271312*b**2 + 4*b + 3539868 wrt b.\nAnswer: 154542624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 199 + -196. What is the third derivative of -67*n**r + 112*n - 216*n - 32*n**2 + 106*n wrt n?\nAnswer: -402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yl when two letters picked without replacement from eylhlbd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -100110 (base 2) to base 9\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 433*w**3 + w**2 - 4*w - 2. Let h(u) = u**3 + 4*u + 2. Give -b(x) - h(x).\nAnswer: -434*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x - 1. Let w(u) = -2*u**2 - 4*u. Let n be w(-1). Let p(y) = 0*y - 3 + y + 0*y. Give n*i(r) - p(r).\nAnswer: -3*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 16*m - 19*m + 4 - 19*m + 65*m - 16*m. Let k(f) = 3*f**2 + 14*f - 12. Determine -11*a(s) - 4*k(s).\nAnswer: -s**2 - s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 103 - 1060. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-265)\/175 - (-2)\/2. Let g = o + 164\/455. Suppose 0 = -4*v - 20, 0 = 2*k - v - 5. Are k and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 0*t**3 - 5 - 10*t**2 - 4*t - 5*t - t**3. Let b be f(-9). Let r = 3 - b. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*x + 5*l, -3*x - 2 = 4*l - 14. Suppose -13*b = -x*b + 20. Is 2*(82*b)\/(-4) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 7*w - 5. Let b(p) = 10*p - 34*p + 16 - 4 + 11*p. Let i(n) = 3*b(n) + 7*r(n). Let a(v) = v. What is -22*a(t) + 2*i(t)?\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3771, -7583, -11477, -15453, -19511, -23651, -27873?\n\"Answer: -41*v**2 - 3689*v - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 - 3)*-1 + 0. Let n be (-2)\/(15\/8 + h). Solve -n = -4*a + 4*s, -3*s + 2 = 5*a - 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19562 - 17670. Is 2 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 170 and 102?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 147701 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -75*8\nAnswer: -600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - (-140)\/(-49))\/(2\/(-672)). Let k = -93 + l. What are the prime factors of k?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -74 - -77. Suppose 4*r = -2*l - 12, 0 = 2*r + m*r. Which is greater: l or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 0*z = z + 1440, -2*a + 576 = -z. Let m(l) = -l**3 + 8*l**2 + 10*l + 9. Let d be m(9). What is the highest common divisor of d and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.15 (b) -295905 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3186 + -c?\nAnswer: 3179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 12 = l. Let x = l - -9. What are the prime factors of x\/3*1 - -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9d3d - -271?\nAnswer: -9aac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*a + 7*a + 2*z + 29, -4*a + 5*z = -48. Let t(p) = p**3 - 6*p**2 - 5*p + 4. Give t(a).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z - 2*r - 8, 3*z + 12 = -4*r + 2*r for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 1 - (-11 - (-9 + -5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + 7*r + 3. Let h be d(-7). Suppose -5*p = 5*q, -q = 4*q - 5. Let m = h + p. Solve 3*g - 10 = -m*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 - (4 - 12 - (-63 + 40))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-906)\/(-14) - (-6)\/21 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2 + o**2 - 8 + 2 + 0*o + 5*o. Let h be d(-6). Let j be ((-5)\/h + -3)*-2. What is the greatest common divisor of j and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + sqrt(832) + -3 + (1*((sqrt(832) + 1)**2 + sqrt(832)) - sqrt(832))).\nAnswer: -3316 - 96*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 h when four letters picked without replacement from hhhtwththwhtth?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 26454.09 rounded to the nearest ten?\nAnswer: 26450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 85 - 22342?\nAnswer: -22257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/21*2\/(-12).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-103*p + 120*p - 141*p)*(-3*p**2 + 0*p**2 + 5*p**2)*(-4*p - 3*p + 3*p + (-2*p + 3*p + 0*p)*(-1 - 3 + 6) + p - 2*p + 0*p).\nAnswer: 744*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.16 * 0.3\nAnswer: 0.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 872758803?\nAnswer: 872758806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3125566 to the power of 1\/3, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 303896227?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62 - 62 + 28*f)*(-3*f**2 - f**2 + 2*f**2).\nAnswer: -56*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(4\/(-10)*120\/48)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(13) + (sqrt(156) - (sqrt(156) + sqrt(156)*2 + sqrt(156)))\/sqrt(12) + sqrt(468)*2 + sqrt(468))*-5*-4)**2*-1.\nAnswer: -1331202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, -4\/21, -1093, 2\/9 in decreasing order.\nAnswer: 2\/9, -4\/21, -51, -1093","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 684627, 1369251, 2053889, 2738547, 3423231?\n\"Answer: i**3 + i**2 + 684614*i + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 740 at most -210?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2174064372.94000553 + 2174064364. Let s = m + 8.94. Round s to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(160) - sqrt(160))\/sqrt(10) + -2*sqrt(64))\/(((sqrt(48) - (sqrt(48) - sqrt(48)*-2))\/sqrt(3))\/sqrt(2)).\nAnswer: 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 6. Suppose -14 = -2*m - r. Solve -1 = -4*a - 9, g + 4*a + m = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 1 = 0, 5*r = -3*k + 2*r + 627. Suppose 9*q - k = q. 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 i = 0.27 + 24.73. Let d = i + -54. Let h = d + 28.99999983. What is h rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 66\/4*4\/6. Suppose 2*l - 5*t = 15, 4*l - t - 10 = w. What is the lowest common multiple of 5 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*u = -212. Suppose -10 + 54 = 11*n. Suppose -11*j = -7*j - n*t - 108, 5*t = -5*j + 145. Calculate the remainder when u is divided by j.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -141, -351, -649?\nAnswer: -1035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3304 = -5*x - 2*y + 3*y, 3*x + 3*y - 2004 = 0. Solve -x*z + 658*z = -20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 8:54 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of q**4\/4 + 8*q**3\/3 + 3*q**2\/2 + 27*q + 1. Let n be i(-8). Let h(a) = -2 + a**n + 287*a - 287*a + 8*a**2. Determine h(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-20) - (-82)\/(-40)) + 2. What is the nearest to w in -1\/2, 0.32, 5?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 11, -4048 in ascending order.\nAnswer: -4048, 7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 279169897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34600*w**5 + 2*w**3 - 5*w**2 + 1392*w + 4?\nAnswer: -2076000*w**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1966*j - 3567*j + 14057*j - 1121040 for j.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 6*b**2 + 3*b. Let t(v) = -17*v**2 - 8*v. Let f(s) = 8*g(s) + 3*t(s). Let h(j) be the third derivative of -j**4\/8 + 3*j**2 - 4. Give h(f(n)).\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 136*p - 239. Calculate the remainder when d(4) is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -7*d + 5. Let x(m) be the second derivative of 5*m**3\/2 - 11*m**2\/2 + 3*m - 9. Give 13*i(l) + 6*x(l).\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -62 - -87. Suppose -5*p = -35 - f. Solve -4 - p = -4*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -5 - -48) + 414 + -403.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-1))\/((-2)\/((-16)\/(-15))).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**2 + 2*g**4 - 5*g**3 - 8 - 3 + 10 to w*g**4 + j*g**3 + n*g**2 + z*g + v and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -230553 (base 6) to base 5.\nAnswer: -1112103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + z = -0*a + 16, 4*a - 4*z = 16. Suppose -15 = a*k - 8*k. What is the third smallest value in 0.1, 0.4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 7:26 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 10*3*1\/6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of l**7\/63 - 7*l**6\/90 + l**5\/12 + 5*l**4\/36 - 7*l**3\/18 + l**2\/3 - 5*l + 2. Solve b(o) = 0.\nAnswer: -1, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -20. Suppose 28 = 4*v + m. Suppose 4*r - 105 = -2*z + 3*r, v*z + 5*r = 117. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -1 - 9 + 3*x + 0 - 4*x. Let k(r) = r**2 - 25*r + 22. Let y be k(24). Let b be (70\/30)\/(y\/(-6)*-1). Determine u(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 6*q - 11 + 52 = 0, 2*q + 45 = -5*j - q + q for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*d**2*x**4 - 61*d**2*x**2 - 3*d*x**4 + 1236*d*x**3 + d*x**2 wrt x.\nAnswer: 72*d**2*x - 72*d*x + 7416*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {o: 4, w: 4, h: 6}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-8\/5)*i**(-2\/5)*i)\/(i*i\/i**(1\/6)*i*i**(1\/6)))**44 assuming i is positive.\nAnswer: i**(-132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -3*j**6 + 86*j**5\/5 - 71*j**4\/2 + 30*j**3 - 4*j**2 - 8*j - 68. Determine u so that c(u) = 0.\nAnswer: -2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 980 is divided by 974?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3315679 is divided by 68.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a - 18. Let x(g) = 3*g - 3. Let r(p) = -2*j(p) - x(p). Give r(-20).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 980.088 and 0.4.\nAnswer: 392.0352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 213 divide 155064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*s + 10*s**2 - 16*s - 5*s.\nAnswer: 10*s**2 - 33*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vdddydhqv. What is prob of sequence vv?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2501 - 1431. List the prime factors of n.\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 923\/18690 + -10\/623. Let t(j) be the third derivative of -2\/3*j**3 + 0*j - 12*j**2 + 5\/24*j**4 - p*j**5 + 0. Determine t(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 64 + 62. Calculate the remainder when l is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3*k - 12. Suppose k + 66 = b. Suppose -r + 5*r - b = 0. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*n - 153*n - 33*n - 58*n.\nAnswer: -298*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228*r - g + 0*g + 36 = -233*r, 0 = -14*r - 4*g - 26 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 13. What is the units digit of (-1)\/j - 275\/(-20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-407*z + 117339 - 117339)*(139*z - 139*z - 36*z**2) to the form o*z**3 + p + i*z**2 + g*z and give o.\nAnswer: 14652","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -392 by 196.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + 14 - 6)\/((-6)\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1324 and 10?\nAnswer: 6620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 301*u**2 + 15 - 4*u - 57 + 2*u + 3*u. Let v be r(6). What is v rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 375958*i**2. Let d be z(1). Suppose 4*c - d = 655974. Let p = 447983 - c. What is p rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 421*z + 107. What are the prime factors of s(7)?\nAnswer: 2, 3, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4, 3, 12, 23, 36, 51, 68?\n\"Answer: v**2 + 4*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -662601 - -213?\nAnswer: -662355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**5 + 762*h**4 - 35740*h**3 + 311376*h**2 + 1865600*h = 0.\nAnswer: -424, -4, 0, 22, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + 0)*3*5)**2 - (4 + sqrt(99)*2 - (4*(sqrt(99) + sqrt(99)*-2))**2).\nAnswer: -6*sqrt(11) + 23855","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 7*j - j + 6*j - 2*j. Suppose 0 = 2*t - 5*r - 27, 4*t + 4*r + 17 = 1. What is o(t)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37.46625 - -37.29. Round t to two decimal places.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sia when three letters picked without replacement from {w: 4, a: 2, s: 5, r: 1, i: 1, q: 3}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*y - 11*y - 5*y + 3 + y**2)*(-7*y**2 - 35*y**2 + 6*y**2) to d*y**3 + j*y + a*y**2 + l + m*y**4 and give m.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 6*s**2 - 4*s + 6. Let j be c(4). Find the common denominator of -2 + (-1 - j\/(-40)) and 3\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5885, 46964, 158429, 375470, 733277, 1267040?\n\"Answer: 5865*d**3 + 3*d**2 + 15*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (3\/14 - (-16)\/56) + (-77)\/22?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/15 in 0.42, 3, 4\/27, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*g + 1. Suppose -3 - g = -v. Solve c - 6*c - 2*u - 5 = 0, -5*c - v*u = 15 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 564 = 2*v. Suppose v = 3*l - 333. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 - -38?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*l - 1 = 0, o + 5*l = -2*o + 5. Suppose 0 = 7*k - 2*k. Suppose -17 + k = -x. Solve 4*d = -o*f - x, 4*d + 0*f = f - 11 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000035808 rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 817080 - 441223061\/540. Find the common denominator of -143\/126 and v.\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*g**3 - 3*g**2 + 3*g**2 + 0*g**2.\nAnswer: 23*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b. Let k(h) be the first derivative of 2 + 3\/2*h**2 + 0*h - 1\/3*h**3. Let m(s) = -3*s + 21. Let c be m(9). Calculate c*g(f) - 2*k(f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1 + (2*sqrt(175) + 0 + sqrt(448))**2.\nAnswer: 2271","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - 43*z**2 - 148*z + 315. What is l(-39)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -930 + 474. Let p = 644 + j. Calculate the remainder when p is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 9*j + 1543 = 6*j, -744 = -a - 4*j. Let t = -540 + a. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o. Let z(m) = -m + 1. Let y(q) = -2*q + 4. Let c(g) = y(g) - 4*z(g). What is c(a(v))?\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + -3. Let g = 21 + -21.5. What is the smallest value in o, g, 0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6523280 by 1630820.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e838 - -2b?\nAnswer: e864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-60) + (11\/(-6) - (-45)\/30)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 n when two letters picked without replacement from gngwngxwfkgk.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**5\/8 + 5431*p**4\/8 - 921403*p**3 - 922082*p**2 = 0 for p.\nAnswer: -1, 0, 2716","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 4*j - 1. Suppose -4*g - 1 - 3 = 0. Let k be x(g). Is 18\/4*(-20)\/k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -98 + 143?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 4*p - 20, -13*p = -2*m - 68 + 36 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 216.1, -5, 1 in increasing order.\nAnswer: -5, 1, 216.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t**3 + 60*t**2 - 3*t + 27. What is the remainder when 2435 is divided by x(-20)?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 4*c**2 - c - 41. What is g(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 339491\/13 + -26115. What is the closest to 58 in -0.5, 2, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4*sqrt(130)\/(2*sqrt(10)) - -2*sqrt(117)*-5) + -5.\nAnswer: -28*sqrt(13) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -5*h + 21, -2*z - 25 = 3*z - 3*h for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 425*i**2 - 12*i - 28. Let m be p(-4). Suppose 1853 = 3*j - m. What is j rounded to the nearest 100?\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 - ((14 - (4 - -1) - 10) + 57 + 12)\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13067?\nAnswer: 73, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 2102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) 0.4 (c) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 9 + 9)*(3*b**3 - 2*b**3 + b**3)*(-6 + 3 - 4).\nAnswer: -154*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oxxwswowwtosww. Give prob of sequence sost.\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48354332*-0.5.\nAnswer: -24177166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -r**4 - 588*r**3 - 454230*r**2 + 965*r + 85391 wrt r.\nAnswer: -12*r**2 - 3528*r - 908460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 51*r**2 + 28*r - 5. What is the tens digit of g(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163209 != 163210?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**2 - 8*s. Let q be b(4). Suppose 2*t - 3*d - 23 = -q*t, d = 1. Solve -2*k - t = -5*p, 0 = -4*p + 2*k + k + 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 9:33 PM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) 1 (c) 1375078\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -18 + 27 - (2 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 288 and 214152678.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**4 - 3141775*c**3 - 1288309*c wrt c.\nAnswer: 12*c**2 - 18850650*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(20\/5*20\/(-6)*(-330)\/3850)?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m + 2. Let w be r(-5). Suppose 5 + 1 = -3*i. Let c be (i*1\/(-1))\/2. Sort c, -2, w in decreasing order.\nAnswer: c, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135049003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -454*a - 4078. What is n(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8835, 8836, 8837?\nAnswer: 8838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 0*i - 2*i**2)*(-2*i - 1 + 4*i + i).\nAnswer: -6*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 a when two letters picked without replacement from awyywwaaaaaawwaywwa.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 135 in -8, -0.3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 7.18 + -1138048\nAnswer: -1138040.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 + 46. What is the remainder when 137 is divided by l?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) -5 (b) 1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ad1a (base 14) to base 15.\nAnswer: -8d5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252509814 is divided by 242.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7288, 7271, 7232, 7159, 7040?\nAnswer: 6863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 6*g + 1. Give w(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (31 - ((-20 - -22) + 3)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 3*m + 4. Let z = m + 4. Find the third derivative of -2*s**z + 3*s**6 - 9*s**2 + 4*s**2 wrt s.\nAnswer: 120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of 25*t**4\/24 + 95*t**3\/6 - 3559*t**2. Give r(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/((w\/(w*w\/((((w*w*w\/((w\/(w**12*w*w*w))\/w*w))\/w*w*w)\/w)\/w)*w))\/w))**(2\/61)\/(w**(-2\/3))**(2\/33))**5 assuming w is positive.\nAnswer: w**(-9670\/6039)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 8336416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/4, -52, 4\/5, 1\/2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.7 + -0.9. Let v = -4.2 - -4. What is the closest to i in 0.6, 0.5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 10010111101010?\nAnswer: 10010111101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229256.\nAnswer: 2, 28657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*v**2 - 20*v**2 - 1222*v**3 + 30*v**3 wrt v?\nAnswer: -7152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -h - 29 + 94, -2*h = 10. Let r = v - -40. Suppose 97 - 387 = -r*d. Does 9 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-3 + 0 + sqrt(304) + sqrt(304)) + (0 + sqrt(304))**2 + -2 + 1)*-5.\nAnswer: -1455 - 160*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - d = 0. Suppose -2*h = -h + 5*g - 19, d = -3*h - g + 15. Solve 6*s - 4*t = 2*s + 4, h*t = 3*s - 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 587\/(-9) - (-4)\/18. Let k be f\/25 - 2\/5. Let y(a) = 3*a**2 + 4*a. Does 10 divide y(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/207 and 34\/525?\nAnswer: 36225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*b*j**3*w + 34*b*j**3 - b*j**2*w + 29*b*j + 2*j**3*w + 24*w wrt j?\nAnswer: -120*b*w + 204*b + 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/588 and 107\/18.\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 19174669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/14)\/(2*2\/(-4)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-45))\/((14\/(-16))\/(24\/96))\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (550\/(-40) - -13)\/(4\/(-37056))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 47 + -89 + -4 + 1?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -164.2 - -164. Let o be (-5)\/21 + (-2)\/(-3). Which is the fourth smallest value? (a) m (b) o (c) -4 (d) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 37361384, -1 in descending order.\nAnswer: 37361384, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1586812?\nAnswer: 2, 396703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 17\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 5*r**3 - 4*r**2 + 4*r - 5. Suppose 14 = -15*o + 79 - 5. Let c(m) = -14*m**3 + 11*m**2 - 11*m + 15. Give o*c(i) + 11*f(i).\nAnswer: -i**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dnnn. Give prob of sequence dn.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 11400?\nAnswer: 11402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 0 - 1) + (61 - (138 + -72)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.94689 + 0.05311. Let l = 0.14 + -0.23. Is d not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-42)\/(-35))\/((-8)\/(-60)). Suppose -a*k = -5*k - 36. Let j = 3 + 1. Solve 5*q + j = k for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/((-24)\/9))\/(390\/80)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-three quarters of a litre?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, v: 4, t: 9}. Give prob of picking 1 v and 2 d.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -230 and -1846?\nAnswer: 424580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169*n**2 + 177*n**2 + 168*n**2 - 830*n**2 + 133*n**2 + 169*n**2.\nAnswer: -14*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -10*h**2 - 6*h - 5. Give z(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/19 (b) 4 (c) 0 (d) 0.027 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -144 by 3.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 4*t - 8, 4*t - 4*i - 37 = -21. Suppose 5*c - 440 + 405 = t. Calculate the remainder when 167 is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 1020200020000?\nAnswer: 1020200012212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -w - 5*q, -w + 3*q = 4 + 7. Let o = -0.87 - -94.87. Let t = -91 + o. Which is the nearest to 2\/7? (a) t (b) -0.03 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 182168 divided by 22771.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -5*d. Suppose w - 2 = -d. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1c3 + 1?\nAnswer: 1c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1575 - 1564. Suppose o - 3*u = 0, -2*o + 55 = 2*u + 3*u. Let q = o - h. Calculate the smallest common multiple of q and 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*v - 11*v + 5*v)*(3*v**2 - v**2 - 4*v**2 + (-7*v**2 + 2*v**2 + 2*v**2)*(2 - 4 + 4) - 1 + 1 + 5*v**2).\nAnswer: -24*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a milligram in micrograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 > -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/174 (b) -3\/16 (c) 0.3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -645, -1295, -1949, -2607?\n\"Answer: -2*v**2 - 644*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 + -28 + -1*(1 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26617715.\nAnswer: 5, 113, 47111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qrh when three letters picked without replacement from {r: 5, f: 4, q: 2, h: 1, x: 2}?\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 495918317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a - 1. Let p(r) be the first derivative of -5*r**2\/2 - 5*r + 6. Determine -p(o) + 4*v(o).\nAnswer: o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 10) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9335.0003803 - 9335. Round b to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 7824, 15664, 23524, 31404, 39304, 47224, 55164?\n\"Answer: 10*q**2 + 7810*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2.1492, 2, -0.434, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -194650589 - -583\nAnswer: -194650006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2504, 2493, 2482, 2471, 2460, 2449?\nAnswer: 2438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/5))**(-5)*(g**(-1\/4))**(-34\/7) assuming g is positive.\nAnswer: g**(45\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/32 + 103\/(-8) and -13\/31.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) + sqrt(168)\/sqrt(6) + 0 + sqrt(567))**2.\nAnswer: 1183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -542 + 1155?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from zwwjwwzwwwwwzjjwzwww.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 107*g - 1834. Give b(18).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of 9*x**2\/2 - 2*x - 3. Let d be z(2). Let m = 2 + -1. Solve -5*s = -d + m for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-45)\/(-6))\/((-24)\/320). Let s = -96 - j. Sort 5, s, 9 in increasing order.\nAnswer: s, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.44 + 2.25. Are q and 0.2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 102 + -107. Let u(v) = 6*v**2 + 3. Let w(m) = 5*m**2 - 6*m + 11. Let k(n) = 4*n**2 - 7*n + 12. Let q(o) = -6*k(o) + 7*w(o). Determine l*u(j) + 3*q(j).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -4*w**5\/3 - 208*w**4\/3 - 3664*w**3\/3 - 8320*w**2 - 19200*w = 0.\nAnswer: -20, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000015441 rounded to 7 decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*m + 98 = 44. Suppose 60723 = m*n - i - 72081, 5*i - 265580 = -4*n. What is n rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 793 = 4*k - 55. Let j be (-10 - -7) + (6 - 0) - -1. Suppose 40 = j*v - k. Calculate the highest common factor of v and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 85*g**2 - 7*g. Let o(l) = -127*l**2 + 11*l. Let m(b) = -5*o(b) - 8*u(b). Let t(c) = -c. What is m(t(a))?\nAnswer: -45*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8c0 (base 16) to base 8.\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w**2 + 4*w**2 - 2*w**3 + (5*w - w + w)*(-w**2 + 5*w**2 + w**2) + 4*w**3 - w**3 - 2*w**3.\nAnswer: 24*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -5*y - 2 - 9*y**3 + 6*y**3 + y**2 + 4*y**3. Give a(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6995 + -37388. Is 4\/(-22) + r\/(-121) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2438453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1250729, -5002897, -11256509, -20011565, -31268065?\n\"Answer: -1250722*f**2 - 2*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/3)\/w**(1\/5))**(-18\/7) assuming w is positive.\nAnswer: w**(-12\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -l**7\/1260 + l**6\/540 + l**5\/180 - l**4\/36 - l**3 - 1. Let o(m) be the third derivative of q(m). Factor o(s).\nAnswer: -2*(s - 1)**2*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 20, -1, 5, -1\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 875.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15\/7 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 27, -1, 0 in descending order.\nAnswer: 27, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 36 in -2\/7, -4, -2, 8\/7?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - (-11 - 6)) + 7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u + 17. Let m(o) be the second derivative of o**3\/6 + 4*o**2 - 7*o. Let t(s) = 5*m(s) - 3*y(s). Give t(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5661 plus -975?\nAnswer: -974.4339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m + 66. Let o be y(7). Let k = -37 + o. What is the greatest common divisor of k and 396?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1025, 1011, 973, 899, 777, 595?\nAnswer: 341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 2:11 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/36 and -87\/12681172.\nAnswer: 114130548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 13 = 2*i, 3*i = 11 + 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2 = 0, 4*l + 8 = 5*l - 4*u. Solve 0*m - l = 4*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*q**3*v**4 + 3*q**3 + 797*q**2*v**4 + 219*q**2*v**2 + 4*q*v**2 wrt v.\nAnswer: 72*q**3*v + 19128*q**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14\/45 in 1\/11, 0.2, 4\/3, 622, 2\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of r**4\/4 + 7*r**3\/3 + 7*r**2\/2 - 9*r - 5. Let s be i(-5). Solve 2*q - s*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/1189240 and -3\/18296.\nAnswer: 1189240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1241743 to the nearest 10000.\nAnswer: 1240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2654?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 168578819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**2)\/t)**15*(t*t**(-1)*t)**(9\/7) assuming t is positive.\nAnswer: t**(219\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -16 + -b29992?\nAnswer: -b299a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = o - 2*s - 66, -163 = -3*o - s. What is the second smallest value in 1\/6, o, -4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25661 + 25671. Solve -5 = 5*p, r*h - 5*h - p - 11 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6717 - 503767\/75. Which is bigger: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -82, 7.\nAnswer: -82, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of 4*h**3 - 12*h**2 + h + 6. What are the prime factors of u(3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1793344507?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 10, o: 2}. Give prob of sequence oo.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**2*p*u - 8*c**2*p + 8*c**2*u + c*u + 17*c - 2*p*u - 4*p wrt c?\nAnswer: 4*p*u - 16*p + 16*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -4*p**3\/7 + 8*p**2 + 276*p\/7 + 216\/7 = 0?\nAnswer: -3, -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -311*s**2 - 11*s - 44. Let o(w) = 62*w**2 + 2*w + 9. Let z(f) = 2*h(f) + 11*o(f). Find the first derivative of z(g) wrt g.\nAnswer: 120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1444 (base 11) to base 15.\nAnswer: 843","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**2. Let d(l) = -4 + 5 + 9 - 2037*l - 10. Determine d(q(h)).\nAnswer: -4074*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 137, 131, 123, 113?\n\"Answer: -f**2 - 3*f + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -103 + 111. Solve -5*r = -z - 17 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*f**2\/2 - 44637009*f\/2 - 13391100.\nAnswer: -3*(f + 2975800)*(5*f + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 17*m**2 + 12*m + 6. What is the tens digit of p(17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*o = 57*o. Suppose 2*k - 2*w - 531 + 73 = o, 2*w + 226 = k. Is k a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2044\/2920*(-2)\/((-1)\/(1\/28))?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1 (b) -0.04 (c) -0.4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 60.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)*-1)\/sqrt(10) - (sqrt(1900) + 1).\nAnswer: -11*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 20. Let s be 0\/(-3) + -2 + v. Solve 3*l = -4*z - 22, 4*z + s*l + 8 = 4*l for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/22620625 and 29\/105.\nAnswer: 475033125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = x + 13, -2*p = -7*p + 2*x + 31 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9251, 9249, 9247, 9245, 9243, 9241?\nAnswer: 9239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zze when three letters picked without replacement from qqtzeeee.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is h in h**3 + 8 + 0*h**5 + 0*h**4 + 2*h**5 - 14*h**2 - 3*h**3 + h**4 + 5*h**4 = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*t + 6660 = 111*t for t.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/22 and 39\/440080.\nAnswer: 4840880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -k**8\/24 - 73*k**5\/60 + k**4\/24 - 3*k**2 - 4*k. What is the third derivative of g(m) wrt m?\nAnswer: -840*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -1 - (7 + -11).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 14. Let r(b) = b**2 - 2*b - 16. What is the tens digit of r(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -c + 20. Let u(l) = -46 + l**2 - 42 + 125 - 6*l - 42. Let z be u(c). Is z <= -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2821187 (base 9) to base 2.\nAnswer: -101111010001111100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + 11*w - 16. Let l be z(9). Suppose -x = l*a - 106, -3*x + 0*x + 306 = 2*a. What is the remainder when x is divided by 35?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 4*n. Let q be (-288)\/(-54)*6\/8. Let s(l) be the second derivative of 0*l**2 + 0 + 0*l**3 + 3*l + 1\/12*l**q. Calculate z(s(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 137134441 and 4899?\nAnswer: 1633","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 97567.86 to the nearest one hundred.\nAnswer: 97600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 62 and 101029?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jaqaaaqjaqaqqqa. Give prob of sequence aa.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 53374.192 rounded to the nearest 10?\nAnswer: 53370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + 4 + -4 + -3 + 5 + 0.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 3 - 1. Let o(f) = -2*f**2 + 9*f. Let q be o(4). Sort y, -3, q in decreasing order.\nAnswer: q, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -318 + 318.06. Let i = 10 + -6. What is the second biggest value in i, -3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n - 3. Let v(t) = -4*t**2 - 270*t - 20. Calculate y(v(o)).\nAnswer: 8*o**2 + 540*o + 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 3*j + 45 = 3*r, 36 = 2*r - 5*j. Let h(x) = 27*x - 3. What is the remainder when h(2) is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2082 and 215688.\nAnswer: 74843736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1 + sqrt(432)) - (4 + sqrt(432)*3))**2 - (5*(sqrt(432) + 0)**2 - (-3 + sqrt(432) + 1 - sqrt(432))**2).\nAnswer: 480*sqrt(3) + 4781","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 4:16 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 3*s**2 - s + 7. Let z be q(5). Suppose a - z = -a. Calculate the remainder when a is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4}. Give prob of picking 3 v.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -25. Let h = -934.1 + 913.085. Let j = h + d. What is j rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-13 - -9) + (1405 + -3 - -3). Let p = 14071\/10 - l. What is the common denominator of 35\/116 and p?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 388*s**2 + 66 wrt s.\nAnswer: 776*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2052 less than 0?\nAnswer: -2052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.765 + -10.265. Which is smaller: 8 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 2*r = r + 9, -4*v - 2*r - 6 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10665562?\nAnswer: 2, 17, 29, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 14 + 0)*(-1 + 1 + 2*o)*(-4*o**2 + 0*o**2 + o**2) - 3*o**3 - 2*o**3 - 2*o**3 to the form x*o**3 + r*o**2 + y + t*o and give x.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3540 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 291*j - 2350*j + 137677 - 5901 for j.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30531\/27 + 4\/18. Suppose -c - 909 = 3*o - 51, -3*c + n = -4*o. Let j be (3 + (-10)\/3)*o. What is the highest common divisor of j and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 322.6? (a) -1 (b) -2.6 (c) -82 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03767304 rounded to four decimal places?\nAnswer: 0.0377","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -120 - -116. Does 8 divide 4*448\/(-21)*6\/u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -2*d**3\/3 + 13*d**2\/2 - 10*d - 592. Calculate c(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**5)**8 assuming i is positive.\nAnswer: i**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/50 and ((-238)\/(-116))\/(160\/176*(-11)\/(-2)).\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 22, 34, 48, 58, 58?\n\"Answer: -v**3 + 7*v**2 - 2*v + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*f - 203*f - 4944*f**2 + 102*f.\nAnswer: -4944*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 19231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-588)\/(-72) + -8 + 0 - (-2)\/(-3)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 50 = -3*q. Let d be 1 - 5\/((-10)\/304). Let w = d - q. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 711, 1045, 1379, 1713, 2047, 2381?\n\"Answer: 334*a + 377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qf when two letters picked without replacement from fkffbfccskfcqk.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -17*k + 4. Suppose 3*b - 27 = 2*p - 4*p, 4*b - 36 = p. Let f(w) = -4*w + 1. What is b*f(s) - 2*v(s)?\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -5*f + 4*g + 6, -2*g + 20 = 4*f. Let o(u) = 9*u - 17. Is o(f) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*z + 366 = 140*z - 21*z. Let d(f) = -7*f**2 + 4*f + 6. Let o(h) = 3*h**2 - 2*h - 3. What is z*d(g) + 5*o(g)?\nAnswer: g**2 - 2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -359*a**4 - 1978*a**4 + 5*a - 3*a - 629*a**4 - 1 - 1445*a**4 to the form v*a**4 + o*a**3 + f*a**2 + d + i*a and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/50 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -161\/5280 and 113\/573576?\nAnswer: 126186720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1605, -227, 1151, 2529, 3907?\nAnswer: 5285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -11594000569683 and 0.5?\nAnswer: 11594000569683.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*h**2 - 976*h**3 + 930*h**3 + h**2 as p*h**2 + n*h + l + s*h**3 and give s.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7747, 7747, 7749, 7753?\nAnswer: 7759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - h**2 + h. Let t(p) = -8*p**3 + 6*p**2 - 6*p. Suppose 205*w + 3278 = 216*w. Let o = w + -304. Give o*b(q) - t(q).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-18)\/18)\/(8\/(-950648)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10979067 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/9687251 and -22\/49.\nAnswer: 9687251","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 1. Let h be m(1). Suppose h = s + 5*z - 29, 9*z - 5 = 5*s + 4*z. Suppose -t - s*n = 17, -5*t + 0 = 2*n - 5. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18803.29 less than -17108?\nAnswer: 1695.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 2*z - 6 + 8 + 5*z**2 + 3*z**2 - 2*z**2 + z**2 + (4*z - 3*z - 3*z)*(1 + z - 1) + 2*z - 2*z - 4*z**2 in the form r*z + o + a*z**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 10:43 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = 5*t + 12, -4*j + 2*t + 13 = -3 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10002631 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**5 + 2*b**5 - 4*b**5 + (-b**3 - 4 + 4)*(-1 + 7 - 2)*(-4*b**2 + 2*b**2 + 3*b**2).\nAnswer: -3*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f**(-31)))\/f**(-35))\/(f\/f**(-2\/49)*f)**(-9))**47 assuming f is positive.\nAnswer: f**(194298\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 186, -1, -6, 1, -13 in ascending order.\nAnswer: -13, -6, -5, -1, 1, 186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 3:06 AM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2316 divided by -4?\nAnswer: -579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01765 to 4 decimal places.\nAnswer: 0.0177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 + -27 + (-62 - -30)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/u**3*u**(3\/5))**(-4)*((u\/u**(1\/5))\/u**(-2\/5))\/(u**(-2))**49 assuming u is positive.\nAnswer: u**(504\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {d: 2, l: 17}?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*1*(-12)\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 + 4 + 5)*113. Let j = p + -588. Round j to the nearest ten.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*10*12\/1980.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 203 and 29?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*r - 3*m, -5*m + 35 = 3*r - r. Let l = 1 - 5. Put r, l, -5 in ascending order.\nAnswer: -5, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, -21, -3, -4, 0 in ascending order.\nAnswer: -36, -21, -4, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of o**4\/12 - o**3 + 18*o. Let r be y(7). Which is the closest to r? (a) -1\/6 (b) -1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 5*h - 2*h + 3*h - 3*h. Let k(i) = 285*i - 4. Let w(m) = 13920*m - 195. Let y(t) = 195*k(t) - 4*w(t). Determine g(y(x)).\nAnswer: -315*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 10 = -p, -3*p = -4*w - 80 + 80 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -4*m + 2*m**2 + 3*m - 4*m + 0*m**2. Suppose -4*w = -4, -z = -2*w + 5*w - 16. Calculate the remainder when r(5) is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3*t - 1386 = 0, 3*t - 1733 = 5*f - t. Does 13 divide 6\/27 + f\/(-27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -15*i - 35. Let d be q(-3). Calculate the common denominator of d\/12*(-9 - 7930\/(-880)) and 77\/12.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in 2\/9, -3, 0.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 8*m - 262. Let s(d) = 4*d**3 - 24*d**2 + 7*d - 9. Let k be s(6). Let v be x(k). Suppose 4*p - 2*n - 5 = -3, p + 4*n = 14. Solve v*g = g + p for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + 13*g + 4. What is the remainder when 74 is divided by j(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28722, -114950, -258664, -459864?\nAnswer: -718550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1408 + 4.\nAnswer: 1412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 5*b + 35 + 348, -4*b = -5*d + 472. Let r = 4 - -10. Let t = d + r. List the prime factors of t.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -25763 - -5?\nAnswer: -25756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 747, 2994, 6731, 11952, 18651, 26822, 36459?\n\"Answer: -s**3 + 751*s**2 + s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1044035163.\nAnswer: 3, 1432147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 96 by -24.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of c**4\/24 + 7*c**3\/6 + 2*c**2 - 20. Give s(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -1\/60*v**5 + 0*v**3 - 4*v**2 + 1\/60*v**6 - 1\/210*v**7 + 0*v**4 + 0*v + 0. Let f(z) = 0. Calculate z.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94388194.34 rounded to the nearest one hundred thousand?\nAnswer: 94400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/6*36\/24. Let v be s\/5 + 2\/(1540\/413). Is 0 <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 97 - 112 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2813030 (base 9) to base 14\nAnswer: -2c29b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -2, -1, 275, 5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(441) - sqrt(441)*1) + sqrt(441))\/sqrt(7) - (-1 + sqrt(63))*-2.\nAnswer: -2 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290*j = -349*j + 777325. What are the prime factors of j?\nAnswer: 5, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 9*u**3 - 2*u**2 - 3*u + 4. Let v(l) = l**3 + 6*l**2 + 10*l + 5. Let g be v(-4). Let w = 5 + g. List the prime factors of r(w).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**2 - 7*z + 51*z**4 - z**2 - 2*z**3 + 9*z - 3 - 47*z**4 to u*z**2 + l*z**3 + p*z**4 + n*z + s and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from fcffdcffffffdfffccc.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of o**3*s**4 + 2*o**3*s - 5*o**2*s - 2810697*o*s**5 + 393388*o wrt s?\nAnswer: 12*o**3*s**2 - 56213940*o*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1994 and -0.43?\nAnswer: 0.2306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*i - i. Put -59, 4, i in decreasing order.\nAnswer: 4, i, -59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30089?\nAnswer: 30089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3804, -15223, -34256, -60903, -95164?\nAnswer: -137039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 241827815 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 555 is divided by 94.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9.00016 + 9. Round n to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q*q**(-2\/3)))**43)**(12\/17) assuming q is positive.\nAnswer: q**(-172\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -722*g + 722*g + 33*g**2.\nAnswer: 33*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 5, -2\/3, 398, -0.6 in ascending order.\nAnswer: -2\/3, -0.6, -2\/7, 5, 398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 32 = -4*r, 54*x - 55*x = 4*r - 32. Solve 2*p = -4*j + r, -3*p + 3 = 3*j - 6 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 0 - 0 - (-133)\/19 and 11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 469 divide 161163855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of u**3 - 132. Let k(b) = -11*b**2 + 2 - 2. Give k(n(d)).\nAnswer: -99*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**2 - 4*y + 3. Let c(g) = g**2 + 4*g - 2. Give 3*c(s) + 2*u(s).\nAnswer: -s**2 + 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -190*i + 99*i + 1638 for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + (sqrt(20) - (sqrt(1620) + (sqrt(1620) - -1*sqrt(1620)))))\/(1*sqrt(10)*-1)*3 + -4.\nAnswer: -4 + 75*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**3 + 25*i**2 - 10*i - 17. Let s be p(12). Suppose s*z + 54189 = -48711. Round z to the nearest one thousand.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.38 (b) -1 (c) 0.5 (d) -2\/7 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 4*k**2 + 3*k - 2 - k**3 + 2*k + k. Let a be g(5). What is the greatest common divisor of a and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -276*k + 26 + 149 + 277*k in the form f + x*k and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37 - -36.77. Let z = 3.23 + k. Which is smaller: z or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g. Suppose -y - y = 8. Let l(n) = 3*n - 3. Let k(x) = -x + 1. Let s(p) = -9*k(p) - 4*l(p). Let z(c) = y*f(c) + s(c). Give z(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 430682, 861365, 1292048, 1722731, 2153414, 2584097?\n\"Answer: 430683*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/8 and ((-495)\/(-10))\/(0 + -10).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1719252?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/15 and -4\/55.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 35659.34 milliseconds?\nAnswer: 35.65934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 183638 and 61880.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1506527?\nAnswer: 11, 151, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 4384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-36))\/((-2)\/8). Suppose -20 = 58*t - 62*t. Which is the closest to o? (a) t (b) 1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255 = 66*j - 75 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7653565 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 91 + 67 = 3*t, 0 = 5*b - 2*t - 23 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -607, -1216, -1825?\nAnswer: -2434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 8337*v = 8333*v + 35, 4 = 3*z - v for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-3) + 7360\/4600.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(-2) - (-89 + -2). Suppose -24*s - f = -30*s. What is the remainder when 43 is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3083 >= -3085?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(1\/4))\/s)**(4\/15)*s**2\/s*(s**(-8)\/s*s)\/s)**(-2\/105) assuming s is positive.\nAnswer: s**(34\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -338 = 19*j - 414 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 3*f + 6, 0*f + 2*f + 8 = -m. Let h(d) = -d + 4. Calculate h(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x. Let f be n(12). Let h be (f\/18)\/(4\/(-36)). Is 6 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - 26\/8*6. Let n = -282 - -263. Let i = n - v. What is the closest to 0 in -1\/4, 2, i?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1089769363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*h**2 + 156128*h = 0. What is h?\nAnswer: 0, 39032","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/1460754 and -35\/2678049.\nAnswer: 16068294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 6*p**2 + 2*p - 8. Suppose 0 = -2*h - 2*h - 24. Let q be d(h). Let i be 1\/(-5) + (-44)\/q. Solve -20 = -l + i*f + f, 5*l - 35 = 2*f for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189 = -12*j + 9*j. Suppose j = 4*r + 3*l, 20 = -2*r + 3*r + 5*l. Calculate the remainder when 58 is divided by r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/4 - (-6)\/(-12). Suppose j + j = k. Suppose -3*n + 8 + 28 = j. Solve 0 = -0*l - 3*l + n for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 202102200 (base 3) to base 7\nAnswer: 61266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-14) + (-3660351)\/83433 + 43.\nAnswer: -2\/137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 5*w. Suppose 45*q - 42*q - 15 = w. Let d(o) = 0 + 0 - 5*o + o**2 + 2. Determine d(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 496203 and 37633.6?\nAnswer: 458569.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -6*c + 53. Let z(o) = -7*o + 60. Let y(m) = 6*s(m) - 5*z(m). What is y(8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -66.\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.5 + -4.5. Which is the nearest to o? (a) 11 (b) 0.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 8*a - 34. Let d be l(6). Suppose 6 = -4*z + 3*w, 2*z - 3*w - 2*w - 4 = 0. Let v = d + z. Solve -3 = 2*c - v for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -32 (b) -2\/1859 (c) -0.4 (d) 247\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -333*t + 999. What is r(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -2. Let y be (-2 - (0 - z))\/1. What is the units digit of (3 + y)\/(-5 + 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f + 8. Let z be k(6). Suppose 4*v + 1 - 9 = 0. Suppose -4*c = l + v*l - 78, -2*l = 4. Calculate the highest common divisor of c and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f**3*p*q - 7*f**3 - 3*f**2*p*q**2 + 25*f**2 + 8*p*q**2 + 20*p with respect to q.\nAnswer: -f**3*p - 6*f**2*p*q + 16*p*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10873 - 15513 = -72*x + 19912. Solve -x*f - 1 = -340*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 21*v**2 - 27*v**3 - 9*v**2 - 11*v**2. What is j(1)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4*j = 0, -s + 5*j = 3*s. Suppose s = 3*i + m - 7, -5*i - 2*m = -0*i - 13. Let u be (0\/i + 0)\/2. Solve 5*h - 24 = 3*n, u*h = h - 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -89*c**5\/5 - 5*c**4 + 3*c**2\/2 + 365*c. Find the third derivative of l(z) wrt z.\nAnswer: -2136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 510.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 92 + -35. Let z = -49 + y. What is the remainder when 10 is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -503063 - 5?\nAnswer: -503101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2281? (a) 175 (b) 2\/3 (c) 2 (d) -4 (e) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34189 + 34192. Let j be (-4)\/10 - (-51)\/15. Solve 0 = -0*o + j*o - a for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y - 16. Let o be l(-13). Let j = 0 + o. Sort j, -1, 0.2 in ascending order.\nAnswer: j, -1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -z + 2, -5*t + 1765 = 5*z. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003671823792 to seven decimal places.\nAnswer: 0.0003672","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + 4497309.\nAnswer: 4497309.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 5*k - 24 = -50, -k - 6 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -6. Let s be (51\/(-26) - n)*-4. Let r = -124.9 - -125. Is s at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1812571?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + g. Suppose 5*n + 7 = -0*y - 4*y, -y = -4*n - 14. Let x(s) be the first derivative of 1 - 2*s - y*s**3 + 5\/2*s**2. Determine -5*t(j) + x(j).\nAnswer: -j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 0*j**4 - 6\/5*j**5 - 18 + 0*j**3 + 15*j + 0*j**2. What is the first derivative of f(w) wrt w?\nAnswer: -24*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a micrometer in nanometers?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/42)\/((-13)\/(-91)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-1)*h)\/h)**(22\/3)*(h*h**0*h)\/((h\/h**(4\/3))\/h))\/(h**(-5)*h\/h**(-7))**(24\/13) assuming h is positive.\nAnswer: h**(-124\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(-3\/10)*p)\/p*p*(p\/(p\/(p*p**(1\/6)*p))*p)\/p*p**(-1\/9)\/p**(-7) assuming p is positive.\nAnswer: p**(529\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 15 + 2*d + 6*d - 4*d.\nAnswer: 4*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 34405473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-11*(-70)\/308)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of -s**7\/210 + s**6\/3 - 20*s**5\/3 - 86*s**2 - 3*s. Factor b(h).\nAnswer: -h**2*(h - 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 4*k**2 + 3*k. Let x be (-22)\/10 + 1\/5. Let g be j(x). Let c = g + 3. Solve -p - 3 = 0, -m - 5 = -6*m + c*p for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence msug when four letters picked without replacement from {u: 2, y: 7, g: 7, m: 1, s: 3}.\nAnswer: 7\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12348 and 1239651?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33639, 72537, 111435, 150333, 189231?\nAnswer: 228129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/307, -3903, -2, 10?\nAnswer: 2\/307","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**5 - 2*k**5 + 5*k**5 + (14 - 14 + 8*k)*(k + k - 4*k)*(0*k**3 + 0*k**3 + 2*k**3).\nAnswer: -31*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*a**2 - 71*a**2 - 2*a**3 - 78*a**2 + 169*a**2.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 6)*(i - i - 5*i)*(0*i**3 - i**3 + 2*i**4 - 9*i**4).\nAnswer: -140*i**5 - 20*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 60, 286, 670, 1218, 1936, 2830, 3906, 5170?\n\"Answer: x**3 + 73*x**2 - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeoeoeeeooeoeeeoee. What is prob of picking 3 o?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 8 - (16 - (16 + -13)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 2:40 AM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -z + 162 - 133, 10 = 2*z for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 19 + -19 + (-2 + 6 - 2). Let b be (0 - h)*17\/(-34). Let g(z) = -z - 1. Let j(p) = -4*p**2 + 6*p + 6. Calculate b*j(v) + 5*g(v).\nAnswer: -4*v**2 + v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -40 + (-3)\/1 - 0. Let p = j - -79. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/7 - -1 - 3*598\/(-483). Factor 3*t**2 + 1\/2*t**3 - 2*t - z - 1\/2*t**4.\nAnswer: -(t - 2)**2*(t + 1)*(t + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bmmm when four letters picked without replacement from {b: 8, m: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45470 + 45448.897. Round v to zero dps.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1461 + 1530. Suppose 0 = 5*t - t - 32. What is the least common multiple of s and t?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 3. Suppose -3*y = -2*y + 4*y - 385. What is the greatest common factor of y and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*d - d - 4*d - 2*d + 0*d - d + (2 + 1 - 1)*(-3*d + 3*d - d) + 5*d - 3*d + d)*((-3 + 4 + 1)*(-3 - 4 + 6) - 2 - 2 + 5) to the form s*d + j and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 752 and 4606?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of 0*y**4 + 0*y**5 - 2*y**2 + 0*y**3 + 2\/3*y**6 + 3 + 0*y. Find the second derivative of f(l) wrt l.\nAnswer: 80*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w + w + w**3 + 1 - w + 0. Let a(f) = 6*f**3 - 10*f - 6. Let b(p) = a(p) - 2*q(p). Factor b(y).\nAnswer: 4*(y - 2)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29778 - 29777.9879697. What is n rounded to three decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 505*i - 497*i + 2*l = 0, -18 = 2*i - 4*l for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) -0.5 (c) -2\/3 (d) -1\/105 (e) -1\/4 (f) 86\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + z = 5, 4*p + 247304*z - 20 = 247307*z for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6909166 and 2222?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1772 is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/32)\/(-9 - 296\/(-32)). Let l = -1.95 - 0.05. Let q = 1 - l. Which is the closest to -2\/7? (a) -6 (b) t (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1515186 and 21492?\nAnswer: 3030372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1049 greater than 1107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228 + 81 + 12*m + 73 + 74.\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2407247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z**2 - 2*z + 1. Suppose 2*h + 3*s - 13 = -2, 0 = -2*h + 5*s - 13. Let p be r(h). Solve 2*j - 10 + 2 = -3*u, -p*j = -4*u - 8 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 3*r = 12, -6 + 26 = t + 5*r for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1914 divided by -2.\nAnswer: 957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 3 + 1 - 7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 6*h**2 - 2*h + 2. Let t(p) = -p**2 - p + 1. Calculate 2*t(v) - z(v).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 29*h**2 + 95*h - 32. Let v be i(-32). What is the second biggest value in 0.2, v, 4, 1.22?\nAnswer: 1.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -11691.3389 - -11692. Round i to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 4*q - 60, -5*q + 3*l + 78 = -l. Round q to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9*(-5)\/(-15))\/((-5)\/(-8 + 33))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/54 + -3*-3*(-2)\/6.\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7612252?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 175*g**3 - 5755*g**2 - 680*g + 660.\nAnswer: 5*(g - 33)*(5*g + 2)*(7*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 9587*d - 57509. Calculate n(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 4:12 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6434 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 54246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, v: 2, p: 1, q: 1, x: 1, l: 1}. Give prob of picking 2 s and 1 p.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 9*o - 15*o. Suppose a - 265 = -3*i, -o*i - a + 455 = -6*a. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22969840 a multiple of 470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or -2\/1451751?\nAnswer: -2\/1451751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1358112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 877*o**2 - 20205*o + 553. Calculate l(23).\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -751*b**3 - 71*b**2 + 6?\nAnswer: -4506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.046 - -14.046. Put z, -2\/7, -1.1 in ascending order.\nAnswer: -1.1, -2\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/4 - (15 + (-470)\/20). Solve -4*u = -2*z - 2, 3*z - y*z = -5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i**3*v**4 - 14*i**3*v**2 - i**2*v**2 + 30*i*v**4 wrt v.\nAnswer: -48*i**3*v + 720*i*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2046581 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49923, 199685, 449287, 798729, 1248011, 1797133?\nAnswer: 2446095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-6664)\/1029 + (-6)\/7 and -55\/21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011212 (base 5) in base 8?\nAnswer: -40060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -230*q - 11922. What is g(-49)?\nAnswer: -652","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 1. Suppose 4*q + 9 = -23. Let j = c - q. Let v(x) = -x**2 + 6*x - 2. Calculate v(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) + -1)*2)**2 - ((sqrt(7623)*2)\/sqrt(9))**2.\nAnswer: -2936 - 32*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2367 (base 9) in base 5?\nAnswer: -24022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*s - 4*o + 5*o, 5*o = -4*s + 27. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j + 24. Let i be m(-22). Is 3898\/(-4)*(i + -3 + -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from {c: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9838 = -1686*s + 4123 - 2159 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23257 + 23203. What is the fourth smallest value in -2, c, -3, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**3 + h - 2. Let t be c(2). Let o = t - -16. Suppose o = -4*s - 526 + 30. Round s to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7255 is divided by 1799.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 14808?\nAnswer: 74040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-260)\/(-70) - (-4)\/14. Let o(g) = 2*g**2 - 4*g + 6. Calculate the lowest common multiple of 18 and o(r).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11670 + -1065?\nAnswer: -12755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.19 and 1.4274.\nAnswer: -1.698606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7601497, -7601500, -7601503, -7601506, -7601509, -7601512?\nAnswer: -7601515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*g**5*r - 5*g**2*r - 12*g**2 - r wrt g?\nAnswer: 1080*g**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, p: 5, x: 4, a: 1}. Give prob of picking 1 g and 1 x.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 44150351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 5*l**3 + l**2 - 1. Let m be 38\/(-19)*(-1)\/(-2). What is u(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o - 4*o + 15*o + (2*o - 1 + 1)*(1 - 5 + 1))*(1 + 10*o - 1).\nAnswer: 90*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -183 (c) -104 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24588700 rounded to the nearest one hundred thousand?\nAnswer: 24600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 3, 8 in increasing order.\nAnswer: -3, -1, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, -45, 38, 0?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 27\/5 of a millennium?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 0.22, -2.69, -29?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67, 142, 219, 298, 379, 462?\nAnswer: 547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 628, 1240, 1838, 2416, 2968, 3488?\nAnswer: 3970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 650\/(-55) + 49 - (3 - 93\/33).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 334426 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 times 178?\nAnswer: -4806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3708321 is divided by 4618.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/((-2430)\/12)*(-20)\/(-48)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -7*p**2 + 7*p - 9. Let z(g) = 3*g**2 - 3*g + 4. Let x(l) = -4*h(l) - 9*z(l). Give x(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 62.2 + -51. Let x = u + -2.2. Let n = 11 - x. Put -0.1, 0.2, n in decreasing order.\nAnswer: n, 0.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -152 divided by -786.\nAnswer: 76\/393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5830639 to the power of 1\/3, to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(48\/30)\/(-8)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 10:06 AM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus 332.7776169?\nAnswer: 332.4776169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 6 = 26. Let q be 38\/2*(v - 3). Let h = 145 - q. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-14) + 52\/14. Suppose 0 = 36*c - 21*c - 15. Is (b - 4 - c) + 1118 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -418? (a) -0.3 (b) 2\/11 (c) 4 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 54*y**3 + 1. Let h be c(1). Let f = h + -28. Is 12 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -431*v**2 - 465*v**2 + 83 + 891*v**2 in the form d*v**2 + o + t*v and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of r**5\/60 + r**4\/6 - 3*r**3\/2 - 2*r**2 - 8*r. Let k be c(-6). Solve p = -k*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 134*v**2 + 2720*v - 539. Determine j(-109).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 76 = 97, g - 196772 = -3*v. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2900 - -6140. Suppose -b = -0*w + 10*w. Which is smaller: w or -323?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -47*d**2*w + 62132*d**2 - d*w**2 - 852*d*w - 10*d wrt w?\nAnswer: -47*d**2 - 2*d*w - 852*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -12*b. Let d(g) = g. Let t = 38 + -39. Determine t*h(u) - 10*d(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -165 - -169. Solve 14 = -o*n - 2 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 405604856?\nAnswer: 2, 19, 2668453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c + 76080 = -7*c. Suppose 0 = -2*x, -3*x - 3825 - c = 3*i. Let z = -7185 + i. Round z to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/48*4\/(-12). Let k(c) be the second derivative of 3*c + 1\/8*c**2 + 1\/12*c**3 + p*c**4 + 0. Factor k(h).\nAnswer: (h + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 4*b**2 + 1. Let s(d) = 18*d**3 + 12*d**2 - 30*d + 1636. Let h(z) = -s(z) + 3*w(z). Find the first derivative of h(l) wrt l.\nAnswer: -45*l**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10.981 - -11.1. Let w = 1.881 + j. Sort 5, 0.4, w, 0.1 in ascending order.\nAnswer: 0.1, 0.4, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 961 + -308. List the prime factors of (-17)\/((-833)\/(-14)) - r\/(-7).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1729557?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 152223 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9492*x**3 - 3133*x**2 + 3842704*x - 7?\nAnswer: 56952*x - 6266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence acc when three letters picked without replacement from scssssasscccccsscscc.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + x - 101, -3*x = -5*v + 97 + 172. Suppose 11*p = 7*p + v. Let f(d) = -13*d + 1 + 6 + 23 - p + d**2. Give f(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 108 = -0*t. Let m = t - -57. What is the greatest common divisor of m and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6477 + -6480. Let q = 0.9 - 1. Which is the closest to g? (a) -2 (b) q (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -7. Let f(q) = 27*q - 44. Let m(b) = f(b) - 6*p(b). Give m(-3).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*w**3*x**2 - 32*w**3*x - 28*w*x**5 - 2*w*x + 5*w wrt x?\nAnswer: 8*w**3 - 560*w*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.93 + -1.3. Let l = 0.03 - r. Which is the second smallest value? (a) 2\/3 (b) -1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 6, 163*x - 7554 = 159*x + 2*h. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -85.1 + 89. Let y = x + -4. Sort y, 2\/7, 2.\nAnswer: y, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mpspoop. Give prob of sequence so.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -64*((-6)\/4)\/3. Let u = 0 + 3. Suppose 7*v - d = u*v. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65298.11 millennia to centuries.\nAnswer: 652981.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15234)\/27929)\/((-4)\/((-88)\/(-378)))?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 74949698699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 1, 14, 7.\nAnswer: 1, 2, 3, 7, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a - 15, 400*a + 5 = 5*n + 405*a for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -153*k + 33348. Determine o(215).\nAnswer: 453","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 11:58 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58897\/2 - (-580)\/232.\nAnswer: 3, 9817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(6\/11)\/(q\/q**(1\/3)))\/(q**(1\/3)\/((q\/(q*q*q\/(q**(5\/3)\/q)*q*q))\/q))*(q*q*q**(-2\/3)*q)\/(q\/(q*(q**(1\/7)\/q)\/q*q))*(q**1)**(-38) assuming q is positive.\nAnswer: q**(-3181\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -t**4\/12 + 7*t**3\/6 + t**2 - 11*t. What is the least common multiple of 5 and g(6)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d - 1. Let w be r(-6). Suppose 0*n - w*n = -20. Does 16 divide 1\/n + (-63)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*t + 314 = -58*t - 71*z, -t = z + 10 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m - 3. Let l(u) = u + 1. Let k(i) = 15*l(i) + 6*n(i). Calculate k(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 5*z**3 - 6*z**2 + 9*z - 10. Let q(j) = -19*j - 186. Let m be q(-10). Let f be h(m). What is the highest common divisor of 150 and f?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 65, -0.13, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (4 - (-14 - -6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/((-60)\/6))\/(2\/68). Let s(x) = 26*x + 8. Let f(w) = -9*w - 3. Calculate q*f(z) + 6*s(z).\nAnswer: 3*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 286230 and 336?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04241 to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1626478729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -4.88. Let j = -0.02 + z. Let r = 1 - 0. Which is the third biggest value? (a) 0.5 (b) r (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**5\/5 + 81596*i**4\/5 - 244824*i**3\/5.\nAnswer: 4*i**3*(i - 3)*(i + 20402)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a centimeter in micrometers?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.10149372 to three dps.\nAnswer: 3.101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 126047 >= -5502?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 122*i**2 + 120*i**2 - 351*i**2 + 104*i**2. Let w(z) = 90*z**2. Calculate a(w(u)).\nAnswer: -40500*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 3:03 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*r**5\/2 + 715*r**4 + 16319*r**3\/2 - 27349*r**2 + 17778*r - 3276 = 0. Calculate r.\nAnswer: -39, -21, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1755 divide 810742405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1322 - 100?\nAnswer: -2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(19) - 4*(sqrt(76)\/sqrt(4))**2).\nAnswer: -3*sqrt(19) + 228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*p**5 + 797496*p**4 + 65468691*p**3 + 32584818*p**2 + 4066872*p = 0 for p.\nAnswer: -16532, -82, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - s**2 + s - 1. Let x(f) = -f**3 - 7*f**2 + f. Let z(p) = 2*u(p) - x(p). Let b = -6 + 11. What is the remainder when 8 is divided by z(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10263?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 295\/(-25) + 9?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, 0.3, -239, -0.3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15259*g**3 + 11*g + 109.\nAnswer: 91554*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = t + 17, -6*i - 15 = t - 2*i. Let y = t + 38. Find the common denominator of -95\/6 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of 2*w**2 - 6*w - 2. Let r be g(4). What is the highest common factor of r and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 169*w - 174*w + 1885. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 - -3611733.281671?\nAnswer: 3611732.481671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -9*t + 306 + 360 - 87 + 10*t. Let x(u) = -4*u. What is x(o(p))?\nAnswer: -4*p - 2316","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 147197*n**3 - 31*n - 86327250?\nAnswer: 441591*n**2 - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(3\/(-15)*-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -68270 to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 12:35 PM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -j**2\/2 + 5*j + 1. Calculate the least common multiple of g(4) and 624\/65 + (-4)\/(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -597*i**2 - 369. Let p(k) = 2*k**2. Calculate m(p(j)).\nAnswer: -2388*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (40*m**2 - 4*m**2 + 10*m**2)*(-1 - 2*m**2 + 1) to b*m**2 + p*m**3 + j + f*m + t*m**4 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 8536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**3 + 3. Let z(s) = -s**3 + 7*s - 4. Let x be z(0). Let v(h) = 3*h**3 + 3. Give x*v(i) + 5*j(i).\nAnswer: -2*i**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 478462*t**3 - 108*t - 547.\nAnswer: 2870772*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10100110110001 (base 2) to base 12.\nAnswer: -6215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3610738*l**3 + 1382*l**4 + 3610738*l**3 + (-3*l + l**2 + 3*l)*(0*l + l**2 + 0*l).\nAnswer: 1383*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.78 to 1 decimal place.\nAnswer: -6.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 0)\/(6 - 4). Suppose 4*u - 17 = g, 0*u + 9 = 3*u - 2*g. Suppose -50 = -i*v - u*v. Calculate the lowest common multiple of v and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15*(-6)\/24)\/((-5)\/(-20)). Suppose -3*v = -5*q + d, -137*v = -138*v - 3*q + 9. Do v and -13\/25 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q + 5*k = -9*q - 26, 0 = q + 3*k + 14 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2262598?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, s: 5, r: 1, d: 1, l: 1}. What is prob of picking 1 z and 2 s?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -157 + 189. Sort 1, 4, j, 5 in ascending order.\nAnswer: 1, 4, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00198513 to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21356?\nAnswer: 2, 19, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 19 + 76 = 0. Let t = -80 - k. Differentiate 23 - 36*o - 38 - t wrt o.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -81 - -88. Let i = p - -5. Let o be 6\/(-8)*8\/i*0. Solve o + 4 = -4*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -20*w + 116. Let v(q) be the second derivative of -1\/2*q**w + 0 + 0*q**3 + 0*q**4 + 6*q - 1\/2*q**2. Differentiate v(z) with respect to z.\nAnswer: -30*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -7, 10, -5, -3 in ascending order.\nAnswer: -7, -5, -3, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 17*x**2 + 10. What are the prime factors of u(-17)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -98? (a) -2\/13 (b) 8\/5 (c) 64 (d) -2 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 974 + 57 = -2*f, -4*f = 3*h - 1025. Let w = -350 + h. Which is the second smallest value? (a) 0.1 (b) 4 (c) w (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = g - 1293 + 70, -2*x = 2*g - 1226. 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: Let w be (1\/2)\/(1\/4). Suppose 2 = 2*k, -4*h = k + 1 - 10. Factor x**4 - 2*x**5 - x**h + x**5 + 3*x**3 - w*x**3.\nAnswer: -x**2*(x - 1)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5770 + -5755. Calculate the remainder when 769 is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p - 2*p**3 - 3*p - p + 0*p**3 + 4*p**3 - 2*p**3 + (-p + p - p)*(-2*p**2 + 3*p**2 - 3*p**2) + 2*p**2 + 2*p**3 - 2*p**2 - 4*p**3 + p**3 + p**3.\nAnswer: 2*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 24026?\nAnswer: -24026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43042 is divided by 215?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a tonne in kilograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*f + 154 = 2*b, 3*b - f = -447. Suppose -c + 535 = -l + 3*l, -4*l = 4*c - 1064. Let p = b + l. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of g*m**4 - 156269*g + 88*m**4 + m wrt m?\nAnswer: 4*g*m**3 + 352*m**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23644760.\nAnswer: 2, 5, 47, 12577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -25, -28, -19, 8, 59?\n\"Answer: t**3 - 10*t - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114542896.\nAnswer: 2, 13, 379, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 14*q + 36. Let y be u(14). Let b = y + -10. Find the first derivative of 529*p**3 + 29 - 529*p**3 + b*p**4 wrt p.\nAnswer: 104*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-20))\/((-12)\/(-448)*7)*(-45)\/(-2).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qt when two letters picked without replacement from {h: 4, d: 2, g: 2, t: 2, p: 3, q: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2*v + 19 = g, -5*v = -g - 7. Suppose -8 = k - g*k. Solve -k*n + 25 = n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -96, -316, -750, -1470, -2548, -4056?\nAnswer: -6066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - a - 1. Let w(r) = 7*r**2 - 6*r - 6. Let x(k) = -6*l(k) + w(k). Let q(b) = -95*b. What is q(x(d))?\nAnswer: -95*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -32. Solve -4*n + 30 = -y + 8, -4*y + 4*n = x for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + t = 1935 - 1936, 3*q - 19 = 5*t for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (959\/(-274))\/(2\/(-4))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2040 and 89420.\nAnswer: 536520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*s**4 - s**3*x - s**2 + 2*s*x + 17*x wrt s.\nAnswer: 240*s - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of 2*n**3\/3 + 153*n**2 - 834. Factor f(h).\nAnswer: 2*h*(h + 153)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7551, -30311, -68163, -121041, -188879?\nAnswer: -271611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*(-2)\/14)\/(1560\/624).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -76*r**4 - 3*r**2 - 3*r**3 - 10 + 11 - 83*r**4 - 27*r + 194*r**4 wrt r?\nAnswer: 840*r - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) 4 (b) -0.7085 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4414 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17752*h + 17757*h - 3*y = -4, -44*y + 42*y + 10 = 4*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -100000101 (base 2) to base 7\nAnswer: -522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3 = 5*b, -b + 29 - 32 = -2*l. Let k = 4 - -21. Find the first derivative of -16*g**l + 32*g**2 - 15*g**2 + k wrt g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59806304.\nAnswer: 2, 1868947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -4*z - 2 - z**2 + 3*z - 3*z. Let d be 23\/(-4) + ((-7)\/4)\/7. Calculate o(d).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2841 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-7\/5))**(-41) assuming o is positive.\nAnswer: o**(287\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3074.33 - -3261.8. What is a rounded to the nearest 10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13214262 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 7*y - 92 = 0. What is the highest common factor of 184 and y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*c**4 - 8563017*c**2 + 1080281*c + 1 wrt c.\nAnswer: 72*c**2 - 17126034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 790 + 179 = 0. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) + (1*sqrt(78) - sqrt(78))*-2 + (-1*sqrt(78) + sqrt(78))*3)\/((sqrt(594)\/(sqrt(22)\/sqrt(2)))\/sqrt(9)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -205 - 40. Let j = l + 49. Suppose -3*g + 2*d + 51 = -j*g, 2*d = 5*g - 81. Does 3 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -7*y**2\/5 + 416232*y\/5 + 118924\/5 = 0.\nAnswer: -2\/7, 59462","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n. Let d(y) = -4 + 2 + 1. Let o(f) = -4*f - 1 + 6*f + 5. Let q(l) = 12*d(l) + 3*o(l). Calculate q(p(i)).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -7 + 851 - (1 + 0). Suppose -2*g - m = -3*g + 2*h, 4*h = -g + 837. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -17, -5, 7, 19?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -114762, -229789, -345086, -460659, -576514, -692657?\nAnswer: -809094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-41)\/(-4)*6)\/(3*39\/(-1716)*-66).\nAnswer: 41\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*w)*(-w - 46*w - 10*w) + (0*w + 0*w - 3*w)*(-1 + w + 1)*(4 - 3 - 2).\nAnswer: -111*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4285.\nAnswer: 5, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 66703 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 3*j - 237, -z + 2*j + 245 = -3*j. Suppose 0 = -17*v + 14*v + z. What is the highest common divisor of v and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m**3 + 321*m**2 - 2392*m + 230. Let r be x(-114). Factor -14\/3 - 2\/3*n + 14\/3*n**r + 2\/3*n**3.\nAnswer: 2*(n - 1)*(n + 1)*(n + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjuuujjjjuujjjjj. Give prob of sequence uuj.\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 4 + 21. Let i = -55 + 97. Let m = i + -39. Put m, 2\/7, w in ascending order.\nAnswer: w, 2\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 7334590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*g - 45*g + 933*g**2 - 61*g + 934*g**2 - 1864*g**2 + 122*g.\nAnswer: 3*g**2 - 38*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 722274 less than -196244?\nAnswer: -918518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3163, -3089, -3015, -2941, -2867?\nAnswer: -2793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -2\/7 (b) 0.3 (c) 51 (d) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 9 = -3*p. Solve -m - p*m = -6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and 41118.50294?\nAnswer: 41120.50294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*c**2 + 19*c**2 - 36*c**2.\nAnswer: -50*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**3 + 33*v**2 - 13*v - 43. Let w be x(16). Suppose -5*o = 5*b, o - 5*o + w*b = -27. Solve o*s + 62 = 50 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1430 + -10?\nAnswer: 1420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - m - 5*a = -15, -2*m + a = -18. Suppose 0 = -m*j + j + 708. Is (j\/4)\/(4\/16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1634.91 to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 2) in base 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -81235\/18 + 4516. Find the common denominator of -125\/1686 and a.\nAnswer: 5058","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*n**3*p - 3*n**2 + 39917*n*p + 43935*p + 23 wrt n?\nAnswer: 12*n**2*p - 6*n + 39917*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5587 - 2807. What are the prime factors of s?\nAnswer: 2, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tj when two letters picked without replacement from zoxlojt?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 218.9994424 - 219. What is j rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-348)\/7)\/6*-7?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u - 1. Let v(d) = 7*d + 6. Let i(y) = 15*y + 13. Let j(a) = 2*i(a) - 5*v(a). Suppose 2*p - 20 = 7*p. Determine p*t(c) + j(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 395 = 5*v - 2*s, -11*v = -14*v + 4*s + 237. Let l be 6 + (-2)\/((-1)\/(-1)). Suppose -l*u + 36 = -0*u. What is the remainder when v is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11112886 and 9512?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 13 = -3*l. Which is the second smallest value? (a) l (b) -22 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 5531*z + 644046. What is u(-119)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4505 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2172122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 6*w**2 + 6*w - 8. Let h be x(-7). Is 32 a factor of h\/(-5) - 159\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 + -2)*(-44)\/(-2). Suppose -k + 5 - 1 = 0, -5*k + h = 3*t. Suppose 0*s + 4*s = t. Is s at most -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -217\/5 - -44. Let x = -6.4 - -6. What is the second smallest value in x, n, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 280970?\nAnswer: 1966790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 0*n = n + 10, 0 = -3*r + 4*n + 1. What is the second derivative of 14*v**3 + 19*v**5 - 18*v + 18*v**3 - 32*v**r wrt v?\nAnswer: 380*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 3 - 46*y**3 - 1.\nAnswer: -46*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 11*z**2 + 2*z - 55. Suppose 6*b - 248 = -188. Let m be o(b). Solve 0 = m*g - 63*g - 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*f = 4, -t - 2*t + f - 12 = 0. Suppose 0 = v - 0 - 8. Let a = v + t. Solve 3*l + l = -a*d, -12 = d + 4*l for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 + 74 = 3*c. Find the common denominator of (-6)\/c - (-396)\/(-209) and 0 + -2 - (-20)\/(-14).\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1248283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55.6 - -56. Sort -1\/4, -7, w, 3 in ascending order.\nAnswer: -7, -1\/4, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-2)\/(-154))\/(432\/4392) and -41\/462.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1951*n**2 + 8*n**3 + 1951*n**2.\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 168500, 168508, 168508, 168494, 168460, 168400?\nAnswer: 168308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 1. Calculate the least common multiple of 2 and (-9 - -10)*28\/j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -n**4\/4 - n. Suppose -y - 5*d + 10 = 0, -23*y + 25*y - 20 = -d. Let s(h) = 2*h - 14*h + y*h**2 + 12*h. Calculate q(s(w)).\nAnswer: -300*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-4)*(-1 - 164\/(-12)). What is the highest common factor of u and 304?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2264*d - 749*d - 751*d - 754*d - 8. Let r(g) = g - 1. Give -18*r(j) + 2*s(j).\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 631\/230 + -258\/115. Which is the nearest to 4? (a) w (b) 5 (c) 2 (d) 80\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4 = 2*i + a, -a - 4 = -2*i. Suppose -9*h + 6*h + 309 = i. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**2 - 5*b + 1. Let y be u(4). Let g be 36*(18\/4)\/3. Let a = -35 + g. Solve -3*q + 2*n = -8*q + a, -y = -5*q - 4*n for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in -5, 3, -164, -2\/7, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in -0.03, -1, 0, -23?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -272175*r**2 + 494349 wrt r?\nAnswer: -544350*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3411?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (7390369\/(-56))\/31*-8 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 154727979?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 537, 1059, 1563, 2043, 2493, 2907?\nAnswer: 3279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 r, and 1 l when three letters picked without replacement from {n: 1, l: 1, e: 1, r: 1, y: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -517345.121 to the nearest 100.\nAnswer: -517300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(-6)*8\/22?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -15. Let c be 4\/((2 - m)\/(-2)). Suppose -c*y - 3 - 21 = -4*h, 0 = 5*y + 10. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 2*p + 8, -3*p - 16 = p. Suppose -4*q - 3 = 2*r - 3*r, -4*r - 4*q = 8. Let a be (2 + b)\/(r\/2). Sort 0, a, -1 in ascending order.\nAnswer: a, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -196 divided by 5?\nAnswer: -196\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/39 and 19\/1365?\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 8) to base 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.01 minus 61486265688?\nAnswer: -61486265686.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 252 in 1, 0.05, 2\/13, 5\/4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 3*i**2 + 2*i. Let m be z(-2). Is 9 - -50 - m\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*(-4)\/(-12) - 2. Let h be p\/(-5) + (-512)\/(-40). Calculate the greatest common factor of 13 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4379, 8762, 13145, 17528, 21911?\nAnswer: 26294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -95853260*r**2 - 13798*r - 416.\nAnswer: -191706520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + 1 - (61 - 20)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/3*2603796\/183601?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 107233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xohi when four letters picked without replacement from ooxhiiiiixxxi.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 80) + 359 + -290.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 136718 by 5.\nAnswer: 136718\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 6*t - 8149980 = -4*w, 2*t - 4*w = -3259980. What is t rounded to the nearest one hundred thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16973?\nAnswer: 11, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -72 + 75. Suppose -2*j + 2*x + 51 = -1, -v*x - 128 = -5*j. Solve 2*a - 5*n + j = 0, 20 = a + 4*a + 4*n for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1434, -5, -76, -3 in descending order.\nAnswer: 1434, -3, -5, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31466 - -31745. What is the greatest common factor of 1829 and w?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 49154\/(-240) - ((-1351)\/(-105) + -13). Let q = 1054\/5 + u. Find the common denominator of q and 98\/9 - 4\/18.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*(1 + -2 + 0). Let m(d) = d**3 - 3*d**2 - 2. What is m(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1087 + -3)*(-62)\/4. Let r be (6\/4*14)\/(15\/25930). Let w = r + m. Round w to the nearest one thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**28)**50\/((b\/b**(3\/7))\/(b**37\/b)))**(-47) assuming b is positive.\nAnswer: b**(-472256\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12765939?\nAnswer: 3, 4255313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161 is divided by 58.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/14)\/((-39)\/(-182))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -46.902, -3, -33, 4, 0, -1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 176 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1203 - 1189. Solve 0 = -5*s - 5*k - 10, -3*s - b = -5*s + 4*k for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*h = 114, 3*h = a - 2*h - 112. List the prime factors of a.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i**2\/3 - 135236*i\/3 - 97611248\/3 = 0 for i.\nAnswer: -707, 34516","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 921118449?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/3 - 232*p - 697\/3.\nAnswer: (p - 697)*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -14*u + 5. Let t be q(0). Suppose 1\/3*f**t - 2\/3*f**2 + f**4 - f + 2\/3*f**3 - 1\/3 = 0. Calculate f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/2759 in 2, -4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -36 - -2?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(637) + sqrt(637) + -4 + -4 - sqrt(637)) + (-4 + sqrt(637)*-1 - sqrt(637)) + 1)*1)**2.\nAnswer: 140*sqrt(13) + 737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*u - 4*u**2 - 4*u**3 + 24*u + 0*u**3.\nAnswer: -4*u**3 - 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 2 - 14. Calculate the smallest common multiple of f and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**3*f**3 - 6*d**3*f - 4*d**3 + 26*d + 4900*f**4 wrt f?\nAnswer: -12*d**3*f + 58800*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12435 - 4?\nAnswer: -12443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1031123 - 2?\nAnswer: -1031131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((1 + sqrt(242) - sqrt(242))*-1 + sqrt(242) + -3))**2*-1.\nAnswer: -4128 + 1408*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -13*r + 69. Suppose -9*i + 707 = -4*i + 4*s, 4*i - 582 = r*s. What is the highest common divisor of i and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -887208*c + c**2 + 887208*c.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*k - 30*k + 26*k - 312 = 0 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((126\/(-9) + 17)*-1)\/11\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13284 and 49692.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 - 3)*(2*x - 3 + 3) - 5*x - 2*x + 3*x)*(-2 + 4 - 1).\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kyy when three letters picked without replacement from kkkyykkkk.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -35*x + 406. Let h(u) = 13*u - 134. Calculate -8*h(f) - 3*o(f).\nAnswer: f - 146","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1527633 * 0.4.\nAnswer: 611053.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -1 (c) -0.5 (d) 0.18 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and 7584.\nAnswer: 7584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -378 divided by -6?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-7))\/(4\/14). Let z = f + 1. Suppose -2*k + 4 = -0*k. Solve -k*l + 13 - z = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -161609 at most as big as -161600?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.91 + -0.09. Let p = -21.42 + -0.58. Let z = -18 - p. What is the second smallest value in 2\/3, z, b?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -3*v - 0*x + 50, 3*v - 40 = x. Find the first derivative of v*b - 6 + 10*b - 1 + 0 wrt b.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7165.3 - -7261. What is x rounded to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*z + 97*z**2 - 90*z**2 + 4*z)*(6 - 6 + 3*z**2).\nAnswer: 21*z**4 + 48*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43 - (3 + 1 + -9 + 1 + 12).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -2\/19, -1\/104, -3, -1\/6, -3\/5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -46551.33.\nAnswer: -46547.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 19\/4*(-2 - -6). Suppose -4 = 32*o - 33*o. Suppose 2*j - 106 = 2*i, -5*i = -o*j + 60 + 148. Calculate the highest common divisor of j and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 1 + 4 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31.8 + 73.52. Let m = f - 42. What is the biggest value in 0, m, 2, 3\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11876\/5 + -2375. Let r = -3 + 0. Which is the closest to -1\/4? (a) i (b) r (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c**3 - 2*c**2 - 2*c + 9. Let f(y) = 11*y**3 + 5*y**2 + 7*y - 29. Let w(j) = -2*f(j) - 7*o(j). Give w(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5*r**3 + 113*r - 113*r)*(-3*r + 3*r + r).\nAnswer: -5*r**4 - r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 55618552193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -373, -746, -1121, -1498?\n\"Answer: -f**2 - 370*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22 - 411?\nAnswer: -334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6360 and 11660?\nAnswer: 69960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-12)*21\/(-644)*-8.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/10225 + 593068\/92025. What is the common denominator of t and (-1618)\/140 - (-4)\/(-28)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 t when three letters picked without replacement from {b: 1, p: 3, n: 3, l: 2, t: 1}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148191 is divided by 240?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -853764 at most as big as -853833?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 + 58. Let j = c - 39. What is the nearest to -2\/7 in j, -0.02, 0.2?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**3 - 76*s**2 - 2*s - 28. Calculate the remainder when 112 is divided by q(-38).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -126*n + 11626723 + 3040559. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49484214 a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 868.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8232483.\nAnswer: 3, 7, 373, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/2 - 103*i**2\/2 - 2491*i\/2 + 8427\/2.\nAnswer: -(i - 3)*(i + 53)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 27, 13, -13, -57, -125?\n\"Answer: -l**3 - 7*l + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 2*r - 554, 46*r - 48*r - y = -554. Is r a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(513)*2)\/((-1*sqrt(96))\/sqrt(2)).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203989.\nAnswer: 203989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 661088 is divided by 220362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 263876591839 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 37 = -3. Suppose 4*y = 5*y + 28. Let k = 33 + y. Calculate the least common multiple of d and k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1202348 to the power of 1\/2, to the nearest integer?\nAnswer: 1097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12683728 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 721613551?\nAnswer: 163, 4427077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 2:47 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j = 10*j - 18*j - 85. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**2 - 3. Let t(y) = 6*y**2. What is b(t(j))?\nAnswer: 72*j**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -135585 or -135584?\nAnswer: -135585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14120\/50 - (-10)\/(-25)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (5 - 5 - 8).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -71 + 99. Suppose -5*b - 5*k = -20, -5*k + 2 - 6 = -b. Suppose -h = -u - 3*u + b*s, 4*u - 14 = -3*s. Solve -q + 0 = -u for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of -v**5\/60 - 5*v**4\/24 + 7*v**3\/6 + v**2. Let u be 8\/(-28) + (-20)\/28 + 2. Let n be (-6*2)\/2 + 1 - u. Determine w(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1631, -12914, -43541, -103184, -201515, -348206, -552929?\nAnswer: -825356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -168355.29458 + 168359. Let c = n - 3.71. Round c to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 6*u**2 + 2*u + 5. Let n be r(6). Suppose -4 = l - m - m, n = 2*l + m. Let s = -1441 + 1495. Calculate the greatest common divisor of s and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -3*b**2 - 8*b + 8. Calculate f(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 + -17. Let t(g) = -3*g**2 + 7. Let a be t(0). Let u = z - a. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnn. What is prob of sequence nn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of 16*x**5\/5 + 132*x**4 + 1100*x**3 - 1852*x**2 + 960*x + 5689. Determine q, given that i(q) = 0.\nAnswer: -24, -10, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of 8*a**6\/15 + 41*a**4\/4 - 8923*a**2\/2 + 227*a - 12. What is the derivative of b(y) wrt y?\nAnswer: 64*y**3 + 246*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 460*a - 104008. Calculate r(226).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 742603 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19681 * 19.\nAnswer: 373939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of m**4\/10 - 2*m**3\/3 + 8*m**2\/5 - 8*m\/5 + 17. Suppose p(u) = 0. What is u?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 163*g. Let t(j) = -j**2 - 31. Calculate u(t(v)).\nAnswer: -163*v**2 - 5053","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 4:20 PM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a minute in milliseconds?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**2. Let m(q) = 0*q**2 - 4*q**2 + 5*q**2 + q**2. What is d(m(p))?\nAnswer: -8*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -3, 5, 1202, 4 in descending order.\nAnswer: 1202, 5, 4, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1385162639 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 662 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 498149 is divided by 10377.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -1\/10*w**2 + 30 - 299\/10*w = 0.\nAnswer: -300, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3. Let i(x) = -4*x - 110*x**2 + 111*x**2 + 4*x + 3 + 8. Calculate -6*i(b) + 22*u(b).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f + 6. Let u be h(-6). Is (-2 + u)*(-3)\/(-6) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -6*w - 94. Let q be b(-16). Solve q*u - u = -1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35685768 divided by 1486907\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -1) + 132 + -126 + -11 - -29.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -4)\/(20\/6 + -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 2*k - 22, -5*w + k - 37 = -w. Let b(q) = -q**3 - 7*q**2 + 7*q + 6. What is the least common multiple of (4 + -1)\/((-2)\/(-4)) and b(w)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200)*2)\/sqrt(5))\/sqrt(8).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -110\/3 + 36. Let v be 1\/((-1)\/((-2)\/(-2))). Suppose 3*s - h = -10, 4*h + 20 + 5 = -s. Which is the third biggest value? (a) y (b) s (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4838503 + -139?\nAnswer: 4838364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5368 + 5368.010276. Round k to four dps.\nAnswer: 0.0103","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 659, 944 in decreasing order.\nAnswer: 944, 659, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 93*b**2 - 11*b - 1. Let j(s) = -46*s**2 + 5*s + 1. Calculate 3*d(x) + 7*j(x).\nAnswer: -43*x**2 + 2*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 21 + 9 = 2*g, -2*g = -10. Suppose -9 = -8*l + d*l. What is the second derivative of 2*b**l + b - 3*b**3 - 3*b**3 - 2*b**3 wrt b?\nAnswer: -36*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 6*t + 6. Let q be k(-6). Let m be (-4)\/18 + q\/27. Suppose m*g + 18 = 3*g. What is the smallest common multiple of g and 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6022 - 1393. List the prime factors of y.\nAnswer: 3, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9 - 3) + 3 + 10. Let t be 396\/(q - 5)*-1. Solve -4*p - 99 = -t for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 1 + 10. Suppose 2*v = -2*c - 50, 2*v + 50 - 5 = p*c. Let g = v - -19. Sort 4, -12, g.\nAnswer: -12, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, u: 3, d: 3, p: 1, h: 3, q: 2}. Give prob of sequence qheq.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -732 divided by -4?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111100011100110100110101 + -1000?\nAnswer: 10111100011100110100101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p**2 - 38*p - 3. Let m be q(9). Put 3, -2, m, -5 in ascending order.\nAnswer: m, -5, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1993.7318755244 and -0.3.\nAnswer: -1994.0318755244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1397 + 25?\nAnswer: 1411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + -5 + 1)*-3. Suppose o*h - 5 = 16. Solve -2 + h = -n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3551 by -34.\nAnswer: 3551\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1288 and 2254.\nAnswer: 9016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.00491902 and 29692.41.\nAnswer: 29692.40508098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 + 5 - (-46 + 53).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of -f**4\/12 + 4*f**2. Let t(o) be the second derivative of -o - 1\/12*o**4 + 0*o**3 + 0*o**2 + 0. Give m(t(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2\/6 + (-44)\/(-12)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -133589 or -133601?\nAnswer: -133589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 178, 116, -204, -782?\n\"Answer: -129*y**2 + 325*y - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 11:46 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5114*m**3*u**2 - 3686*m**3*u + u**2 - 4*u wrt u.\nAnswer: 10228*m**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of 8 + 4*v**2 - v + 2\/3*v**3. What is the units digit of d(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 m when two letters picked without replacement from msmoohfh?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.045 (b) -1306 (c) 86 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 152*x**2 + 1364*x - 24. What is y(-9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -a09 (base 14) to base 8\nAnswer: -3661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -1. Let w(f) be the third derivative of -f**4\/24 + 2*f**3\/3 - 4*f**2 - 7. Let b = 0 - 1. Determine b*q(x) - w(x).\nAnswer: x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*h - 1778 = h for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**2. Let d(t) = 171*t. Give d(y(j)).\nAnswer: 342*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v - 3 - 2 + 5 + 213*v**3.\nAnswer: 213*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 11*v**2 - 8*v - 18. Determine g(9).\nAnswer: 801","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*k + 2*m = 110*k - 2, -k - 4*m = -2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*j = 13. What is the greatest common divisor of 91 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/8 of a century?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6383 + 6422. What is the smallest common multiple of (2\/4)\/(2\/28) and t?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/2 - 376058*b.\nAnswer: -b*(b + 752116)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 0)*(w + w - w) - 1365 + 682 + 33*w + 681.\nAnswer: 30*w - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1754631031?\nAnswer: 31, 59, 959339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2\/19)*z*z**(-1\/9)\/z assuming z is positive.\nAnswer: z**(-37\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6087 in 4, 0.4, 0, 1\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -18*p**3 + 4*p**2 + 3. Let s(b) = 17*b**3 - 6*b**2 - b - 3. Calculate 3*m(i) + 2*s(i).\nAnswer: -20*i**3 - 2*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7027 divided by 28?\nAnswer: -7027\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**2 + 20*z - 1668*z**3 + z**2 + 1665*z**3.\nAnswer: -3*z**3 + 20*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 y when three letters picked without replacement from {y: 2, i: 8, u: 7, a: 2}?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s - 10. Let c = 4 + 5. List the prime factors of p(c).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + 10*w + 1. Let t be n(7). Calculate the greatest common factor of 33 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22578424 divided by 2052584.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-164))\/(81\/((-5184)\/32))?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(((v\/(v**5*v))\/v*v)\/v))**30*(((v*v**(1\/8)\/v)\/v)\/v)**10)**(-4\/35) assuming v is positive.\nAnswer: v**(-153\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - 3*t + 6*t)*(t**4 - 3*t**4 - 5*t**4) + 7*t**5 + 2*t**5 - 10*t**5 - 4*t**2.\nAnswer: -15*t**5 - 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 1169 = -356. Let z be -9 - o\/(-35) - 134\/(-812). Is 0 > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a7058 - -5?\nAnswer: -a7053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -612 by -3347.\nAnswer: 612\/3347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2020 (base 12) in base 10?\nAnswer: -3480","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1530 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.2, -0.3, 51, 6, -2?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -601*(-56)\/49*(-28)\/(-8)?\nAnswer: 2, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 429*o + 38 = 431*o. Calculate the remainder when 168 is divided by o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(1 + -2) + -1. Suppose -4*m = 0, 2*g - 5*m - 133 - 155 = s. Calculate the greatest common factor of g and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*v**2 - 73*v**2 - 107*v**2 + 9*v**2.\nAnswer: -210*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -686 divided by 4\nAnswer: -343\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((1092\/(-143))\/(-21))\/(1\/11)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -16*v - 10. Let l(s) = 2 + 17*s - 23*s + 9*s. Let i be (-316)\/(-28) + (-2)\/7. Give i*l(g) + 2*u(g).\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19.9 + 19.792. Round f to 2 decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, b: 3, e: 4, s: 1, c: 4, d: 1}. Give prob of picking 2 e.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of -x**6\/135 + 2*x**4\/27 - 4*x. Solve r(q) = 0 for q.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -57*w - 159. What is the units digit of p(-31)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39451293 is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3024 (base 5) in base 4?\nAnswer: 12011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1551067 and 1772648?\nAnswer: 12408536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 5:49 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -1932?\nAnswer: 192a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4*f. Let v be s(-1). Suppose 2*q + 7*a = 3*a - v, -3*a = 15. Calculate the remainder when q is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 6*f = 4*f - 14, 0 = 3*j + 5*f - 4. Let o be (2\/j)\/(1\/30). Suppose 9*y - 4*y = o. What is the greatest common divisor of 44 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 19316204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + 2*b + 2. Let o be i(3). What is the remainder when 6*(-6)\/(-3) + o is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*k - 2)*(135 - 135 + 20*k)*(2 - 5 + 2) + 1 + k**2 - 1.\nAnswer: 41*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -50119088*n - 120448646.\nAnswer: -50119088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (12242\/30605)\/(4\/210)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 4*n + 6. Suppose 12 = -12*d + 9*d. Let c = -4 - d. Suppose c = 5*i - 2 - 18. Give g(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 23440765 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -8*v - 321. What is f(-39)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-72)\/(-54)*-110*(-6)\/64 and -85\/54?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -4 (b) -1 (c) 0 (d) -5\/82\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 35444\/(-2)*14\/28. Let m = -15278 - v. Let b = 9657 + m. Round b to the nearest 100.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/4, -34962.57, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3*(sqrt(2057) - (-2 + sqrt(2057))) + sqrt(85)\/(-2*sqrt(605)) + -2)**2.\nAnswer: 8*sqrt(17)\/11 + 32929\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**5\/5 - 23*z**4\/5 - 43*z**3\/5 - 21*z**2\/5.\nAnswer: -z**2*(z + 1)**2*(z + 21)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3100, -3088, -3070, -3046, -3016?\nAnswer: -2980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 4, 4701?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus 114244418?\nAnswer: 114244418.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 18*h**3 + h**2 - 6*h + 3. Let p be (6\/(-4))\/((-60)\/40). Calculate the remainder when 37 is divided by x(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -391, -1613, -3643, -6475, -10103, -14521, -19723, -25703?\n\"Answer: n**3 - 410*n**2 + n + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 634598*g + 90614*g + 283405*g + 9786*g.\nAnswer: 1018403*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 40171*a**2 - 7*a - 5. Let c be q(6). Suppose -3*f - 2 = 1, 2*b - 5*f - c = 0. Let r = b - 1503052. What is r rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20815 is divided by 1299?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 278828.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 6:17 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvdd when four letters picked without replacement from vedvvdvvvvvvvve.\nAnswer: 11\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 450 - -41?\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 + 6 - 6)*(-6*d - 5*d + 5*d + 5*d)*(-181*d + 320*d - 8*d) as g*d**2 + w*d + b and give g.\nAnswer: -1441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 27 in ascending order.\nAnswer: -2, 3, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4554 (b) 3 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*a - 30*a**2 + 9*a**2 + 16*a**3 + 21*a**2 wrt a?\nAnswer: 96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 34*404\/(-32) - 1\/(-4). Let n = 26170\/61 + s. Is n greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 235 = -5*d, 3*s = -s - 16. Is 17 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 11:32 AM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 2. Let a = l + 0. Let v be a\/(-2)*6\/1. What is the closest to 0.1 in v, 3\/7, 0.5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46 and -9\/875?\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -12121221 (base 3) to base 5\nAnswer: -112402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - (sqrt(77) - (-6*(2*sqrt(77) - sqrt(77)) - sqrt(77) - sqrt(77))))\/(-4*(sqrt(11) + sqrt(11)*2)).\nAnswer: 2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/((-81)\/66) - (-4)\/6. Let f be (-822)\/(-54) - n\/36. Suppose -f*y + 2511 = -204. What are the prime factors of y?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4880 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 340*v = -20499 + 37159 for v.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(242) + -5 + 2.\nAnswer: -3 + 22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 453.3423 nanoseconds in seconds?\nAnswer: 0.0000004533423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express k + 2*k - 4*k - 2 + 46*k**3 - k in the form b + m*k**2 + d*k**3 + g*k and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16 - 1733646?\nAnswer: -1733630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = q + 6967, -37*l + 32*l + q = -8710. Calculate the highest common factor of l and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1419.7 and 0.2381.\nAnswer: 338.03057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.27 in -0.2, -0.3, 7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -54 - -61. What is the nearest to 0 in 1, -0.3, 0.4, j?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 6*q + 2*q)*(-4 + 4 - 3) - 2*q + 2*q + 2*q + q - q - 2*q + (5 - 4 - 3)*(-q + q - 2*q) + 5*q - q + 0*q.\nAnswer: 11*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 299*h = 300*h - 10. What is the remainder when h is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 5 + 4237*h**2 + 3*h + 3 - 4185*h**2.\nAnswer: 52*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1362731, -1362733, -1362737, -1362743, -1362751?\n\"Answer: -y**2 + y - 1362731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.08 - 3.08. Let l = -15.933 + -0.067. Which is the fourth smallest value? (a) l (b) 0.4 (c) n (d) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 31*g + 93. Let s be k(3). Solve 4*a - s + 13 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 2*l + 32 = 0, -61*p + 2*l - 52 = -68*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 5*m + 2. Give v(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/5, 0.5, 5\/5332, 4006?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -153, -55, 6, 1, 2, 5, 3 in decreasing order.\nAnswer: 6, 5, 3, 2, 1, -55, -153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -660*b**3 + 1310*b**3 - 652*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w - 4*w - 4254 + 4271 = -j, -4*j = 6*w + 64 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 19*x**2 + 297*x - 134. Let r be m(-31). Calculate the greatest common factor of r and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 214576 and 0.2.\nAnswer: 42915.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 0 = -d - 3, -13*h + 17*h = -15*d - 22*d - 263 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -57*h**4 - 6*h + 3. Let r(i) = -113*i**4 - 11*i + 5. Suppose 15*c = 17*c + 22. Let x(v) = c*a(v) + 6*r(v). What is the derivative of x(m) wrt m?\nAnswer: -204*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -211\/110 - -21\/10. What is the closest to -0.4 in 1\/6, -2, s?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*r**4 + 26*r**4 + 36*r**4)*(2 + 3 + 0)*(4 + 4 - 4).\nAnswer: 640*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.00726, -5, -24, 1, 1\/6 in descending order.\nAnswer: 1, 1\/6, -0.00726, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -711925a?\nAnswer: 711925b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-3)*(5 + -2) - -2. Is ((-50)\/50)\/(h - (-2704)\/(-2702)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + 0.06550621.\nAnswer: -0.33449379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*m = 71*m - 263*m + 3570 for m.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22896.39 rounded to the nearest 100?\nAnswer: 22900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9181 is divided by 58?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, i: 1, t: 1, n: 1, j: 2, c: 2}. Give prob of picking 1 t, 1 q, and 1 j.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -782980?\nAnswer: -78298","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4394850 = 10*j + 5*j. Let r be 4 + j + 1 - -5. What is r rounded to the nearest ten thousand?\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 242, 392, 544, 698, 854, 1012, 1172?\nAnswer: 1334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-1 + (-9)\/(-3)). Suppose -o*n - y + 8 = -77, y + 179 = 4*n. Is 16 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 796\/(-14)*(-891)\/85536 - (-20)\/(-35).\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2927496280.\nAnswer: 2, 5, 73187407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -4*d + 23, -5*d - 4*h + 9 + 13 = 0. Let l = -3 - d. Suppose 8*q + 4*g = 10*q - 16, -g = -2*q + 10. What is the third biggest value in q, l, -3\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d - 11*d + 10*d = -8*d. Solve o + 4*z = d, 5*o + 5*z + 3 = 18 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/36, -0.5, 0.3, 4\/3, -2 in ascending order.\nAnswer: -2, -0.5, 1\/36, 0.3, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.378315244 rounded to one decimal place?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -96916, -193829, -290742, -387655, -484568?\nAnswer: -581481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2*f - 18 + 0 = 0, 2*p = 5*f + 21. Let h = 12 - p. What is the smallest common multiple of 26 and h?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 268*f**2 - 4*f + 2. Let s be c(2). Suppose 2*t = -5*r + 1101, -5*r + 33 + s = 3*t. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -4*n + 12, 2*n - 12 = -2*n. Solve 0 = 2*s - z*s + 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7121, -6331, -4197, -47, 6791?\nAnswer: 16989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1107)\/90 - (-30)\/500*5?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*u = 5*l + 12, 0 = -5*u - 2*l - 21. Let r be (1\/(-1))\/((-3)\/156) + u. Suppose 0 = 4*b + 3*b - r. What is the least common multiple of b and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4215.967 milliseconds in seconds?\nAnswer: 4.215967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 0, -357 in increasing order.\nAnswer: -357, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6349518*d*y**2 - d*y - 1693044*d wrt y?\nAnswer: 12699036*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g - 3. Let j(u) = -7*u**2 + 485*u - 140. Let a be j(69). Give y(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oostttsotossoosttss. Give prob of sequence ooot.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a - a - 4*a - a + 1 + a**2. What is the least common multiple of 25 and w(-4)?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161 = -12*m + 65 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/2)\/a)\/(a**(3\/4)*a))**(-1\/9)\/((((a**(-1)*a)\/a)\/a)**35)**(-1\/29) assuming a is positive.\nAnswer: a**(-251\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 0.2 (c) -106 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 314, 625, 936, 1247, 1558?\nAnswer: 1869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 AM and 7:56 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4b80 (base 12) in base 8?\nAnswer: 20620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/(-5)*4*14420\/56?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 8 - 24*o.\nAnswer: -24*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 151956 a multiple of 268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 6*g + 7. Let s be l(7). Let m = -0.03 + 0.04. Which is the third smallest value? (a) m (b) -2\/7 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 527 + 1146 + 79*x**2 + 6*x**3 - 125 + 1020 + 1636 wrt x?\nAnswer: 18*x**2 + 158*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -0.1, -16, 562?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 234*r**2. Let t(m) = -81 - 2*m**2 + 81. What is t(z(v))?\nAnswer: -109512*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -12508, -46819, -104002, -184057, -286984?\n\"Answer: -11436*w**2 - 3*w - 1069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 5*h + 20217, 2*h = 4*w + 14013 - 94773. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16498487 - -1.97928.\nAnswer: 16498488.97928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/4*(-36 + 20). Let c(m) = 2*m**3 + 2*m**2 + 7*m - 8. Let k be c(s). Suppose -k = -10*p + 1350. Is p a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10636, 21216, 31786, 42346?\nAnswer: 52896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -24*s + 11. Let d be j(-12). Suppose -5*m = -0*m - 5*p - 730, -730 = -5*m - 4*p. Suppose 5*g - m = d. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 4. Let f = q + 0. Find the third derivative of f*r**3 - 3*r**2 + 5*r**2 + r**3 wrt r.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i\/(i**(-13)\/i)*i**(-2\/21) assuming i is positive.\nAnswer: i**(334\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -5*z**3\/3 + 189. Let q(u) = 75*u**2. What is n(q(m))?\nAnswer: -28125*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 23*x**2 + 23*x - 26. Let i be s(22). Is 15*i\/(-12) - -2454 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1896954836 - -1896954500.9999282. Let c = n + 335. What is c rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36 + 87. Let o be x - (0 - (4 - 0)). Calculate the greatest common factor of o and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 64*g + 73 + 113*g + 14*g - 38*g. Suppose -3*q = -5*k + 71, 3*q + 6 = 15. Is f(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 10*f + 11. Let v be w(11). Suppose z = -2*i + 15 - v, -4*i = -4*z + 48. What is the least common multiple of 10 and z?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1208)\/12198 + 44\/418. Let h = t + 1583\/3531. Let -2\/11 - 1\/11*g**2 + h*g - 2\/11*g**3 = 0. Calculate g.\nAnswer: -2, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -k - 2*k. Suppose 12 - k = 12*b. Solve -14 = -b*v - 5*v + 3*t, -t = -2*v + 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 11*k**3 + 17*k**2 + 114*k + 14. Let v be q(-12). Is (-50)\/(-300) + v\/(-12) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-1 + 6 - (-14 - -16))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6.59 and 0.0770723093.\nAnswer: 6.6670723093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5074 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (24\/10)\/(18\/135). What is the units digit of (-16)\/72 + 22\/b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1583975 to the power of 1\/2, to the nearest integer?\nAnswer: 1259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 371913808 to the nearest integer?\nAnswer: 19285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, c: 10, j: 2, d: 1}. Give prob of picking 2 j.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 24 = 2*t. Is -14*(t + (-49)\/2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-81)\/270*-5)\/(((-3)\/(-5))\/((-544)\/170))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - 95\/(-5)) + -1 + 0. Suppose -c - 29 = -25*o. Solve o*r = 4*n + 2, -n = r - 0*r + 5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32109 is divided by 37.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 9:03 AM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -107.888, 5, -6, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 67 - 58) + -1 + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*q**4 + 722*q**3 + 7*q**2 - 37*q**2 + 688*q**3 - 1412*q**3 as i*q + b*q**3 + p*q**4 + s*q**2 + u and give s.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64\/(-24) - 130\/(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 317350.\nAnswer: 2, 5, 11, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 1:37 PM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/114 and -41\/111.\nAnswer: 4218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 63 = 18. Let r(a) = -52 + 5*a - 11*a + 70 - 3*a. Let f be r(1). Calculate the highest common factor of f and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -156237.05.\nAnswer: -31247.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 44, -5, -2167 in decreasing order.\nAnswer: 44, 4, -5, -2167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8485.\nAnswer: 5, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 2 + 2 + 8765*b + 3 - 8767*b.\nAnswer: -2*b + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6, v: 4, i: 2}. What is prob of sequence ig?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 571632792?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64 and 128?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 6*s**2 - 6*s + 6. Let j = -7 + 11. What is the smallest common multiple of 4 and n(j)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.1, 5, 0, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 6*q. Let t(d) = -18115*d**2. Calculate s(t(k)).\nAnswer: -108690*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**3 + 7*c**3 - 4714010*c + 9428033*c - 4714016*c.\nAnswer: 9*c**3 + 7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 131935 and 158322?\nAnswer: 791610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 5:00 PM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = -7*l - 113. Let z(r) = r**3 - r**2 - 2*r - 2. Give z(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*d**3*o*x**2 + 413*d**3 - 2*d*o*x - d - 3*o + 1710*x**2 wrt x?\nAnswer: -10*d**3*o*x - 2*d*o + 3420*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3841764 a multiple of 1556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + v**2 + 2*v + 1. Let b(m) = m**3 - 2*m**2 + m + 7. Determine -b(o) - 2*f(o).\nAnswer: -3*o**3 - 5*o - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 64 = 4*i, -7*z - 2*i - 32 = -3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (47 - 53) + -2*(-15)\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7501\/3 + -2500. What is the nearest to 0.02 in -4\/67, 3\/2, c?\nAnswer: -4\/67","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -5*y + 7. Let r be c(9). Let s = r - -53. Let h be s\/6*24\/20. Sort 2, h, 1 in increasing order.\nAnswer: 1, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -125 divided by 78?\nAnswer: -125\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6991891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2257 = 5*v - 2*l, 4*l - 1803 = -4*v + 3*l. Let o = 1602 - v. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1964517870 to the nearest 1000000.\nAnswer: -1965000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.12716 to 2 dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 9*k**2 - 2*k - 1. Let b be (4\/10)\/(2\/10). Is v(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -560 - -2095. Suppose 6*f - r = f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -210 - -213. Sort -33, -5, 1, a in increasing order.\nAnswer: -33, -5, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14 + -9 - ((-6)\/2 + 1). Is 6 a factor of ((-153)\/(-12))\/((-333)\/48 + o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v**2 + 5*v**2 + 0*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of v**6\/120 + 3*v**5\/20 - v**4\/8 - 14*v**3\/3 + 8413*v**2. Determine c(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 16, g: 4}. What is prob of sequence wwgw?\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 10*g = -24. Suppose -g*d - 4 = -6*d. Suppose d*a + 0 - 4 = 0. Solve 0 = 5*n - a*s + 9 + 17, -n = 5*s - 11 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*u = 6*u - 137*u + 1106 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 72297100 rounded to the nearest one hundred thousand?\nAnswer: 72300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -33*m + 23*m + 11*m. Let n(y) = -12*y**2. Determine l(n(x)).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*p**3 + 21*p**3 - 68*p**3.\nAnswer: 47*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35181*r**3 - 4*r**2 - 11329315 with respect to r.\nAnswer: -105543*r**2 - 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, e: 4, t: 10}. Give prob of sequence ent.\nAnswer: 100\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0.2, 5, -23.56 in ascending order.\nAnswer: -23.56, -6, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 5. Let r = -120 + 175. What is the highest common factor of v and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 450 - 441. Let i(k) = -k**2 + 5*k + 52. List the prime factors of i(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-136)\/(-10) - (-4)\/10. Let i = d - 10. Solve -i*r = 2 + 14 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 14 = -v, -2*v + 20 = -0*y - 4*y. Factor 0 - 1\/3*z**4 + 1\/3*z - 1\/3*z**3 + 1\/3*z**v.\nAnswer: -z*(z - 1)*(z + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/5))**39\/(w\/w**(4\/9)*w**(7\/6)) assuming w is positive.\nAnswer: w**(547\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 60 or -14171?\nAnswer: -14171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -89*q - 19058 + 41575. Let s(n) = n**2 - 3*n - 6. Calculate the remainder when q is divided by s(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**2 - 8*a + 6. Let o(n) = n**2 + n + 1. Let r(z) = g(z) + 3*o(z). Let j be r(7). Let w = -1 + j. What is the remainder when 65 is divided by w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -12, 0.032, 2, -3 in increasing order.\nAnswer: -12, -3, -2\/9, 0.032, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.0242125 + -131.9732975. Let p = -5.9 - 129.1. Let f = o - p. Round f to 4 decimal places.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 21\/5 of a gram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 6*f**2 - 10*f + 2. Let v(x) = 20*x**2 - 61*x + 3. Let b(t) = 2*p(t) - v(t). Calculate b(7).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -73*t - 690. Calculate m(-9).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3986 - -4428. What is the smallest common multiple of 1 and h?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -88*j**4 + 254*j?\nAnswer: -1056*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000110011000 (base 2) to base 10.\nAnswer: -8600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n*n**(-1)\/n)**(1\/40)*(n**(-1\/4)\/n)**(-47)*(n**(-8)\/n**(-2))**(2\/21) assuming n is positive.\nAnswer: n**(16297\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 241?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/4 - 1) + 43\/86?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10.3 and -0.87.\nAnswer: -8.961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - f - 6 = 0. Let n be 1 + (76\/(-18) - f). Which is smaller: n or -0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-75)*7945\/(-454).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 699000 is divided by 719?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(6\/(-14)) - (-67 + 72). Suppose -2*n - 5*i + 846 = 0, 4*n - 5*i = -b*i + 1692. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3*d**2 + 0 + 3 - 1 + d**3 - 5. Let p be o(3). Let k be ((0 - 2)*1)\/(-2). Put 4, p, k in ascending order.\nAnswer: p, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -723, -724, -725, -726, -727?\n\"Answer: -d - 722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1343101 (base 7) to base 5.\nAnswer: 21210003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) - -3*sqrt(176))\/(sqrt(324) + (sqrt(324)*-2 - sqrt(324))).\nAnswer: -4*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-3))\/((-2)\/(24\/(-4)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*z + 52*z + 31*z - 118*z.\nAnswer: 53*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 0*h + 4 = 0. Suppose 0 = 5*z - h*z - 3. What is the nearest to -1 in 5, z, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 5 (c) 10 (d) -4 (e) -4\/7 (f) 39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 5 (b) 12 (c) 0.5 (d) 1.349\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 2)*(-2*a + 3*a + a)*(7 - 4 + 2) + (-1 + 1 - 2)*(-a - 7*a + 0*a) as r + h*a and give h.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**5 - 84*b**4 + 7*b**2 + 1?\nAnswer: -60*b**2 - 2016*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 191.99999366 + -192. Round u to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 + 4)*(-64 + 1). Let r = 202 + u. Suppose -d + r = -6035. What is d rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 6*r**2. Let o be x(6). Let s = 45 - 27. Suppose -u + 4*u - s = o. Let d(p) = -p - 1. Let z(n) = -2*n**2 - 6*n - 6. Calculate u*d(k) - z(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z. Suppose -81 = 3*s + 6*s. Let m = s + 11. Let f(g) = -28*g**2 - 15*g**2 - 9*g**2 + 6*g**m. Determine l(f(t)).\nAnswer: -92*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*49\/770 + 178\/20 + -9?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 26*g + 21*g = -12, 2*g = -3*j + 23. Let v(n) = -2*n**3 + 15*n**2 - 10*n + 14. Calculate v(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18402 - 18400. Let -5*y - 5\/4*y**4 - 5\/2*y**3 + 35\/4*y**w + 0 = 0. Calculate y.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/18096 and 53\/4?\nAnswer: 18096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -55 (b) 36 (c) -2\/501\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 10*p**2 - 14*p + 1. Suppose 6*l + 2*l + 54 - 142 = 0. Determine i(l).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -3*p**2 - 126*p + 129 = 0?\nAnswer: -43, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 936757575 a multiple of 325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n. Let x(m) be the first derivative of m**5\/40 + m**3 + 3. Let p(d) be the third derivative of x(d). Determine p(o(q)).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -12. Let k = 12 + -7. Suppose 2*y - 3*z = 2*z - 10, 5*y = -3*z - 25. Which is the second biggest value? (a) k (b) y (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 76\/16 + (-2)\/(-8). Let a be (55\/(-10))\/(1\/(-2)). Suppose -5*r = -9 - a. Solve -j*z - 4 = r*v + 3, v + 7 = -3*z for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9534 - -389?\nAnswer: 98bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91368453?\nAnswer: 3, 11, 139, 19919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-34 - 26 - 27)*((-1 + 2 - 3)*(1 - 1 - y) + 0 + 0 - y - 3 + 3 + y).\nAnswer: -174*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1388872 and 2.\nAnswer: 1388874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(-6) + (-1)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -2 (c) -23 (d) -68 (e) 1\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5e0 (base 15) to base 3.\nAnswer: -1211110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 3*u - 14, -12 = -2*u - 0*u + 2*s. Let g = -1511 - -6099\/4. Let c = g + -613\/44. What is the third biggest value in u, -3\/2, c?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 8 + 2. Suppose -v + 6 + 4 = 0. Suppose 0*g = o*g - v. Solve g = 3*p + 17 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) -423 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 4*z**2 + 2*z - 6. Let k be h(4). Let s be (-1 - -1) + (2 + -4 - -5). Suppose -75 = -s*r - k*r. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 584 + 585 - 1744 + 575 + 10*w.\nAnswer: 10*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-4.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2053.1934 months to centuries.\nAnswer: 1.7109945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 563 a factor of 734936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + 4*k - 5*k)*(0*k - 5*k + 4*k) + k**2 - k**2 + k**2 - 2 - 2*k**2 + 2 - 2686*k**2 - 368 - 2341*k**2 + 368 - 284*k**2.\nAnswer: -5314*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 6*m - 36735. Round m to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 - -6383060?\nAnswer: 6382982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*x**2 + 27*x**2 + 18*x**2 + 47*x**2.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -439.83 to the nearest 10.\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 164349 and 41872473.\nAnswer: 376852257","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -9*a - 2. Let r(s) = -440*s - 99. Determine 99*i(d) - 2*r(d).\nAnswer: -11*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 101 + -106. Let s(a) = 313*a**2 + 7*a - 1. Is s(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 6:59 PM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -539 - 299 = -147*y + 632 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i**3 + 3*i**2 + 2*i + 8. Let p(f) = -3*f - f**2 - 4*f**3 + 2*f**2 - 3*f**2 + 0*f - 9 + 2*f. Let q(a) = 3*h(a) + 2*p(a). Calculate q(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 660 divide 46650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*b*v**2 - 15*b*v + 258*b - 170*v - 75 wrt v?\nAnswer: -4*b*v - 15*b - 170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42595634927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 646 is divided by 22?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, s: 2, r: 2, p: 1, l: 1, z: 2}. What is prob of picking 1 r and 2 s?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(242))**2 + sqrt(2) + 2*(-2 + sqrt(2)))*-6.\nAnswer: -1452 - 282*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.38 + 2.48. What is the nearest to 0 in -0.5, x, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37 + -26. Let r(h) = h - 4. What is the lowest common multiple of t and r(6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 > 100?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2182144*p + 1296. Let d be x(9). Round d to the nearest one hundred thousand.\nAnswer: -19600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 102618*n**5 - 8*n**4 + 2949*n - 812.\nAnswer: 2052360*n**3 - 96*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 equal to -649675?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 0. Let f be 9\/7 + (-38)\/133. Calculate the greatest common divisor of b and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64*t**2 + 12*t**4 - 2 - 9*t**4 + 595*t - 596*t - t**3 to the form o*t**2 + b*t**3 + y*t + g*t**4 + p and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/1 + 6\/3. Let z = -1491 - -22373\/15. Which is bigger: n or z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -617 - -6674?\nAnswer: 605a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 850*o + 44802 + 41224 = -11724 for o.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41682909?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 5:10 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12054 and 24108.\nAnswer: 24108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 745978.5 weeks?\nAnswer: 451167796800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s*(s**14*s*s*s)\/s*s*s))*s**(-12))\/(s**(1\/7)\/(s**(-3)*s)) assuming s is positive.\nAnswer: s**(34\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7810 to the power of 1\/2, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (54\/45)\/(3\/10). Suppose -k - t = -7. What are the prime factors of (-36)\/(-4)*(2 + k)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from xyyeexyeqyxeeye.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g*g*g**0\/g)\/g)**44)**(1\/3) assuming g is positive.\nAnswer: g**(44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 260 = 5*a, -276944*a - 220 = 5*y - 276947*a for y.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -18\/11, 4, 0.7633?\nAnswer: 0.7633","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of 5*g**2\/2 - 17*g - 3. Let f be t(7). Solve -3 = j + 2*v, 6 = 4*j + v + f for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1218 and -19?\nAnswer: 23142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -q**3\/3 + 7*q**2\/2 - 9*q + 89. Calculate d(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000303410479 to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12368\/20*(-25)\/(-2). Suppose -12434 = -2*p - 5*c, -17162 = -4*p + 2*c + m. Let b = p - -2378. What is b rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43 - 28. Let z = -1 - x. Let q = z - -16. Which is the closest to q? (a) -5 (b) -0.4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 8:35 PM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in decades?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 2.5. Let x = -7.6074 + 11.6074. Sort c, -6, x.\nAnswer: -6, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-6 + 0) - 1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -6 + 3. Suppose -38 = -49*s + 60. Which is bigger: n or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) - (sqrt(66) + ((sqrt(66) - sqrt(66)*2)*-2 - sqrt(66))) - sqrt(66) - (1*sqrt(66) - sqrt(66))*1)\/((sqrt(6)*2*2 + sqrt(6))*5).\nAnswer: -2*sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3722096.782558 + 0.5.\nAnswer: -3722096.282558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b - 3. Let z be i(8). Suppose z*t - 2 = 7*t. Let v be 4 - t - (-238)\/(-38). Which is smaller: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20652168 is divided by 2581521.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l - 5*l + 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1308 - -1308. Let o = 4.9 - 0.9. Let l = o - 1. Sort t, -5, l in ascending order.\nAnswer: -5, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from {k: 11, j: 2, d: 1}.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3673*r + 21635 - 21635.\nAnswer: -3673*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c7 + 1e?\nAnswer: -a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.9 - 0.83. Suppose -19*b = 378 - 112. Let y be -30 + 26 - (0 + 60\/b). Put y, f, -0.4 in increasing order.\nAnswer: -0.4, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 63 + -66. Is (-618)\/v + 0 + (0 - -2) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*s + 9*s - 1 + 2*s**2 - 351*s**3 + 346*s**3 + 5*s as p*s**3 + r*s + j*s**2 + d and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i**2 + 18*i - 15. What is r(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 3*x + 3714 = -7239, j = -2*x + 3649. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3*p + 7. Let i be c(4). What is the tens digit of i + 3 + (47 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-61 + 6\/3)\/1*-1. Let w = a + -14. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b + 1 + 0 - 1. Let y(z) = -3*z**2. Determine x(y(r)).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 10. Suppose 4*y - 7*y = q. Let w = 3 - 2. Which is the nearest to y? (a) 5 (b) w (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = 5*w + 122. Let n = w + 42. Suppose 13*k - 16*k - n = 0. Sort k, 5, 1.\nAnswer: k, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in -2\/7, -2510, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 3:23 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**2 + 2*g**2 - g**2 - 5*g**2 + 3*g**2 + 11*g**2 + ((2 - 2 + 2*g)*(6 - 2 - 1) - 4*g - 3*g - 9*g)*(-3*g + 0*g + 5*g)*(0 - 4 + 2).\nAnswer: 51*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of x**4\/6 - 3*x**3\/2 - 3*x**2\/2 + 14*x + 154. Suppose 8 = -d - d. What are the prime factors of j(d)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4 = -l. Let y(a) = -2*a**3 + 3*a**2 + 3*a + 1. Let q be y(-1). Suppose q*k + l*k = 0. Solve -5*o + o = k for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6952 - 6908. Suppose -4*u + 2*u = -48. What is the least common multiple of x and u?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 135 - 130. Suppose -3458 = -2*n + 2*l, -34*n + 36*n - 3444 = -j*l. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-25))\/((-8*(-19)\/(-1824))\/(20\/8))\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 119311508.40000026 - 119311511. Let r = y - -2.6. What is r rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2*i + 22. Let d be ((-4)\/8)\/((-19)\/1672). Calculate the greatest common factor of i and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(24480\/150)\/(-34).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 510 = a - 499, -91*m = 3*a + 737 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 29, 22, 15, 8, 1, -6?\n\"Answer: -7*j + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a. Let k(i) = -5 + 2 - 7*i + 2 - 3*i. Let b = -237 + 255. Determine b*u(o) + 2*k(o).\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*z + 469 = 3*z + 25*z. Calculate the smallest common multiple of 16472 and z.\nAnswer: 115304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 257, 13, -2, 92 in increasing order.\nAnswer: -2, 13, 92, 257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -4*m. Let k(s) = -2*s - 10. Let j be (-2 + (-15)\/(-3))*-2. Let q be k(j). Let y(c) = 27 - 27 + q*c. Give y(n(f)).\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -3*x**2\/2 + 4. Let h(m) = -4*m - 2*m + 2*m + 6*m. Give y(h(j)).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5991686 times -1.4\nAnswer: 8388360.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -52 - -31. Is 2\/9 smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1041924.\nAnswer: 2, 3, 13, 6679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*u - 16. Let h(r) be the first derivative of r**3\/3 + 13*r**2\/2 + 58*r - 37. Let i be h(-7). Solve -b + o = -5, 2*b - u = 5*o + i for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96616 is divided by 15642.\nAnswer: 2764","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and (2\/4 - (-4)\/(-40))*320.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29528, 59045, 88574, 118121, 147692?\nAnswer: 177293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1248*f - 118734 = 724*f - 4559*f - 314*f for f.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 2*i. Let d(n) = n**2 + 5. Let z be d(i). Suppose -1844 = -z*h - 559. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.384, -2, 2\/75, -1 in increasing order.\nAnswer: -2, -1, 2\/75, 0.384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 8*m + 1. Let s be o(-8). Let x be s\/(-6) + (-1226)\/(-12). Let k = -512\/5 + x. Which is the second smallest value? (a) k (b) -2 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44395040 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-81))\/4 + (-4316)\/1404 + -21\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 + 3*f**3 - f**2)*(-10 + 10 + 5*f).\nAnswer: 15*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38275033*h**2*k**2 + 22*h**2*k + h**2 + h*k + 121 wrt k?\nAnswer: -76550066*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 0 = -3*s - 3, 0 = t - 3. Let b(r) = s - 50*r**2 + 49*r**2 - 4. Suppose 4*d - 8 = u + 2*d, d = -5*u + 4. Calculate b(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/45 + 22\/144.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 226041572 to the power of 1\/3, to the nearest integer?\nAnswer: 609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (29 - 3)\/((-10)\/(-55)). Let r = 77 + s. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 457812.2mm?\nAnswer: 457.8122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 23*i. Let z(m) be the first derivative of 2*m**3\/3 + 66*m**2 + 13695. Calculate r(z(v)).\nAnswer: 46*v**2 + 3036*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + d**2 + 2*d + 1. Let o be l(-1). Let j = 1 - o. Suppose j*n = 2*f - 7*f - 10, -4*n = 5*f. Calculate the greatest common factor of 5 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of 0*d**5 + 0*d**7 - 14*d - 53\/4*d**4 + 0*d**6 + 5 + 0*d**2 - 3\/28*d**8 + 1\/6*d**3. Find the third derivative of h(j) wrt j.\nAnswer: -720*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 169*z**2 + 1603 wrt z.\nAnswer: 338*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15558940 to the power of 1\/2, to the nearest integer?\nAnswer: 3944","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -131 - -127. Does 18 divide (a - 1)*1 - -159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 0, 6, 5 in descending order.\nAnswer: 6, 5, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 98 + -97.9. Let x = 3 - 2. Which is the second smallest value? (a) x (b) q (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/10)\/((-66)\/33). Which is the third biggest value? (a) -3 (b) 0.7 (c) -1\/9 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8585912 to the power of 1\/3, to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3835, -15869, -35723, -63403, -98915?\nAnswer: -142265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000293349031 to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1059\/4675 + -19\/425. What is the third biggest value in -12.4, -3\/2, b, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000978371 rounded to 7 decimal places?\nAnswer: 0.0000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*(-4)\/6 + 18. Calculate the highest common divisor of 32 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -43 in -3\/5, -0.03, 2\/3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2 = -2*y, -5*y - 8 = -4*x - 0. Let g(k) = -12*k**3 + 2*k. Give g(x).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 1:02 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-9\/2)\/((b*b**3*b)\/b)*(b**(-2\/21))**(-23))**(5\/2) assuming b is positive.\nAnswer: b**(-1325\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 - 21. Let z(q) = -q**3 - 16*q**2 - 63*q + 20. Let a be z(-8). Is u >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 360.77 and 5?\nAnswer: 1803.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -402*c + 12216. Determine d(29).\nAnswer: 558","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68, -55, -42, -29, -16, -3?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -135*q**4 + 2*q + 77 wrt q?\nAnswer: -1620*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29016 is divided by 1209?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11.956 + -14.32. Let r = -2.3 - c. What is r rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/80*(-816)\/306.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 1227 = 2*z - 52031, 6*z - m = 152356. What is the thousands digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -97\/20. Calculate the common denominator of -55\/18 and w.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -8*b**3 + 66*b**2 + 1213*b - 9826. What is y(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 34, 30, -2.\nAnswer: -2, 2, 30, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2 = 3. Suppose -d*v + 1371 = -284. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221904?\nAnswer: 2, 3, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express k**3 - 3*k**3 + 3*k**3 + (-2 - 5 + 4)*(-880*k**3 - 848*k**3 + 1583*k**3) as c*k**3 + r*k + i*k**2 + j and give c.\nAnswer: 436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-15)\/10)\/((-3)\/(-16)). Let m = 16 + u. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of 0*m**4 - 17\/2*m**2 - 1\/3*m**3 + 34*m + 0 + 9\/4*m**5. What is the second derivative of a(k) wrt k?\nAnswer: 270*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 6 = -q, -12 = -2*q - 2*m - 4. Suppose -q*u - u = -4*j + 77764, -3*j + u + 58321 = 0. Round j to the nearest one thousand.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rara when four letters picked without replacement from rarrra?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-141*s - 79*s**2 + 141*s - 41*s**2)*(5 - 1 - 2).\nAnswer: -240*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1921*u**2 + 1354.\nAnswer: 3842*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 6 = 3*l, -765*y + 4*l = -762*y + 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*x**3 - 2*x + 2*x - 81*x**3 + 36*x**3.\nAnswer: 63*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 181585 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/52*(-8)\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - -5*(sqrt(171) + -2*sqrt(171)))*-4*-6)\/(-2*(sqrt(729) + -2*sqrt(729))*-5).\nAnswer: 16*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248 = -5*i + 92. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10967 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (210\/(-60))\/(175\/(-60))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 157848824 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 2*c - c)*(-c**4 + 2*c - 2*c)*(2 + 0 - 6)*(2 + 2 - 2).\nAnswer: -8*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 52 and 8.332?\nAnswer: 43.668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -2052?\nAnswer: 2052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2. Let s(b) = -952*b - 1319*b + 1306*b. Calculate s(n(j)).\nAnswer: 965*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/13)\/d**(5\/9))\/((d*(d\/(d\/(d\/(d**(1\/17)\/d))))\/d)\/(d**(3\/8)\/d)) assuming d is positive.\nAnswer: d**(-47225\/15912)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 2.266147 kilometers?\nAnswer: 2266147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + -3. Suppose 0 = 8*c - 7*c + 2. Let s be (112\/12)\/(c\/p). What is the greatest common factor of 70 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66539899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4 = 6. Let x be ((-3)\/g)\/(8\/(-16)). What is the greatest common factor of x and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 290.7 and -0.5.\nAnswer: -145.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -566, -2521, -6366, -12611, -21766, -34341?\n\"Answer: -85*q**3 - 435*q**2 - 55*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l - 11. Let d(c) = -c - 5. What is 5*d(q) - 2*i(q)?\nAnswer: -q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -520412*t + 4*t**2 - 6*t**2 + 520412*t.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 4*f - 3. Let r(c) = 3*c - 1 - 7 - 4 + 10. What is -2*d(g) + 3*r(g)?\nAnswer: -2*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (30 - (17 + -1)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 9 - 21 = 0. Let 3*f - 11*f - 68*f**o - 50*f**5 - 70*f**3 + 56*f**2 + 140*f**4 = 0. What is f?\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -358945 divided by -360\nAnswer: 71789\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -19*u + 2. Let d(c) = -96*c + 11. Suppose 0 = 46*w - 47*w - 6, p + 2*w + 14 = 0. Determine p*d(o) + 11*g(o).\nAnswer: -17*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13497, 26991, 40485, 53979, 67473, 80967?\nAnswer: 94461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 477, 476, 475?\nAnswer: 474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 12, d: 5, n: 2}. Give prob of picking 3 e and 1 d.\nAnswer: 275\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*o + 2 = -108*o. Solve o*v - 22 = -v - 5*w, 2*v + 17 = 3*w for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pnxx when four letters picked without replacement from {p: 3, x: 3, n: 5}?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i + 31*i - 204*i - 50*i + 44*i.\nAnswer: -183*i","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-192)\/(-2))\/((-7350)\/1225).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 <= 2046756?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46848 - -9957. Suppose 0 = -2*h + 10, -2*g + h - s = -g. Round g to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(((v**(-2\/27)\/v)\/v)\/v)\/v*v*v)**(-1\/3))**(-4\/17) assuming v is positive.\nAnswer: v**(-116\/1377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x + 71*x - 135033 = 0. What is the thousands digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 7:39 AM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -5*d - 126 + 15, 0 = 5*d - 15. What is the greatest common factor of r and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1dd8 - -5?\nAnswer: -1dd3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10776\/(-20)*70\/(-28)?\nAnswer: 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 15*w**3\/4 - 1277*w**2\/2 - 40777*w\/4 + 3938429 = 0.\nAnswer: -1076\/15, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/13 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2458 times 710?\nAnswer: -1745180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, k: 9, x: 2, y: 6}. What is prob of picking 1 x and 3 k?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 171781307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(120)*2)\/sqrt(6))\/(sqrt(40)*-2 - sqrt(10)))**2.\nAnswer: 8\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 1606, -3, -0.1, -10?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 131419289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 6*r + 5. Let h = -0.45 - -0.05. Let j = -38 + 75\/2. Which is the closest to r? (a) h (b) j (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2ac5 (base 16) to base 3.\nAnswer: 120000112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.19 + 0.32. Let p = k + -0.33. What is the second smallest value in -1, p, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 649788.\nAnswer: 2, 3, 173, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 76*s - 139. Let b be j(15). Suppose q + 12*i - b = 7*i, 2*q - 2077 = 5*i. Is 17 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/39 + 20\/(-8)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**2\/11 - 35239*x\/11 - 8810\/11 = 0 for x.\nAnswer: -1\/4, 8810","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d + 5*q + 15, -37*q = 3*d - 42*q + 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/5)*o)**3 assuming o is positive.\nAnswer: o**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 1, 257 in increasing order.\nAnswer: -0.5, 1, 257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 15*h - 18. What is g(-24)?\nAnswer: -378","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -3. Suppose 5*k + 3*p - 1097 = 0, 0 = -2*k - h*p + 180 + 258. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 3) + -355 + -3. Is (3*f\/(-3))\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1491517523 and -0.27.\nAnswer: -1491517523.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1283 and -133.12698.\nAnswer: -1416.12698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**2 - 2*l + 1. Let g(w) = w**2 - w + 2. Calculate -3*g(y) + 2*n(y).\nAnswer: y**2 - y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 6:05 PM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 33948908 a multiple of 406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3489396*d**4 + 1491134*d**2?\nAnswer: -83745504*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.8 (b) 2\/11 (c) 8 (d) -46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of p**5\/60 - 5*p**4\/24 - 7*p**3\/6 - 3*p**2\/2 + 4. Let c(g) be the second derivative of o(g). Give c(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/59, 1, -0.0697, -4, 3?\nAnswer: -4\/59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p + 3. Let u(s) = s + 2. Let x(i) = 5*u(i) - 3*y(i). What is the units digit of x(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 574308443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g - 121 = -130 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**5 + 3*d**5 + 0*d**5 + (0*d - 3*d + 2*d)*(d**4 + 2*d**4 - 2*d**4) - 5 + 5 + 7*d**5 + (-2*d**3 - d**3 + 2*d**3)*(1 + 3*d**2 - 1).\nAnswer: 5*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1620, 3061, 4034, 4305, 3640, 1805, -1434?\n\"Answer: -39*b**3 + 1714*b - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -276085.00005 - -276076. Let y = -9 - p. What is y rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 28 and 438641.43.\nAnswer: 438669.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -24\/21485405?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 449802 + 140?\nAnswer: 449942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 489999*x + 1. Suppose -y = -2*y. Let h be 1 + y + 2 - 2. Let n be d(h). What is n rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.19918 decades to months.\nAnswer: 1103.9016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1187659 to the nearest integer?\nAnswer: 1090","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**4 + 0*i**3 + 0*i**3 + (6*i - 2*i - i)*(-2*i**2 - i**3 + 2*i**2) + 0*i**2 - 3*i**2 + 2*i**3 - i**4 + 6*i**2.\nAnswer: -3*i**4 + 2*i**3 + 3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -5*q. Let t(p) = 2*p. Let j(s) = -8*t(s) - 3*y(s). Let b(d) = -d**2. Calculate b(j(c)).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyyyyyyby. Give prob of picking 1 y and 1 b.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -303649*f*t**3 + f*t**2 + 6*f*t + 31*f + 2*t + 252 wrt t.\nAnswer: -1821894*f*t + 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of 2*n**3\/3 - n**2\/2 - n. Suppose -53 = -289*l + 814. Give w(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*l + 175 = 13*l + 19*l - 167 for l.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*((-24)\/9)\/(-8). Suppose -z + 5*u - 9*u = 13, -u - 5 = s. Calculate the smallest common multiple of z and (-4)\/(-10) - (-18)\/5.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4772936*v - 2561668 wrt v?\nAnswer: 4772936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tfitp. Give prob of picking 1 t, 1 f, and 1 i.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -5*j**3 + 2*j**2 + j + 2. Let x be y(2). Let o = 49 + x. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -325*s = -7821 - 2310 - 8719 for s.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4*r - 11. Let s(f) = -f + 4. Let a(d) = 2*n(d) + 7*s(d). What is the tens digit of a(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4543?\nAnswer: 7, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-15)\/3)\/(2\/(-10)). Suppose -2*p + 175 = 3*t, -9*p = -5*t - 8*p + 270. Let v = b + t. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.27868 and 2237.\nAnswer: -623.40716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52728, 105458, 158188, 210918, 263648?\nAnswer: 316378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3931 + 34484. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/89080 and 31\/306.\nAnswer: 801720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 13 = -12, w + 5 = 2*h. Solve 4*p - 37 = 5*m, -w*p - 7 = 5*m + 3 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-1)*1\/(-6). Let t be (-4)\/(-10) + (-7)\/(-20). Sort g, t, 2 in decreasing order.\nAnswer: 2, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z = 17 - 251. Solve -3*l - z = i, l + i = -3*i - 17 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**2\/7 - 319100*k - 89096708750 = 0.\nAnswer: -558425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f + 1. Let q(m) = -11*m**3 - m**2 - m + 5. Give -6*p(s) + q(s).\nAnswer: -11*s**3 - s**2 - 7*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/6*(-360 + 357) + 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 51 = 16*q, -5*z - 4*q = 89 - 26 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2 - 2*i**2 - 2*i + 3 + 4*i. Calculate n(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = -24*b + 50 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 63, 104 in decreasing order.\nAnswer: 104, 63, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 PM and 11:55 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.01 + 0.51. Let x = y - -0.5. Let b be 0 + 3 - (-20)\/(-7). What is the nearest to 0.1 in x, b, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -124 + 1817. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -5*k**3 + 14*k**2 - 15*k - 175. Determine v(9).\nAnswer: -2821","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d + 4. Let q be c(5). Suppose q*g - 4*g - 10 = 0. Let a(t) = 5*t + 3*t**g - 5*t. Let v(n) = -2*n. What is v(a(l))?\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1 - 271*k**2 + 351*k - 1 + 273*k**2 + 55*k**4 + 16*k**4 + 31*k wrt k?\nAnswer: 852*k**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13617729*b**2*f**2 + 8898*b**2 + 46*b wrt f?\nAnswer: -27235458*b**2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 5*t - 2. Let o be (3\/(-9))\/((-3)\/(-45)). Calculate u(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 206*h - 4107. Give d(-18).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 13.3 * 12224\nAnswer: 162579.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o - 1375 = 1459. Suppose -4*f + 5*f + 60 = 0. Calculate the common denominator of o\/30*f\/24 and -133\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 38, 75, 112, 149, 186, 223?\n\"Answer: 37*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 26 - -12?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - j. Let h be u(-4). Let p(l) = -12*l + 8*l + 44 + 8*l. Let y be p(4). Calculate the highest common factor of h and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 269*d**2 - 2 + 394*d**2 - 2 + 9685*d**3 - d + 776*d**2 wrt d.\nAnswer: 58110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116 + 116 - 2*m**3 - m**3.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 - 2*w**2 + 5*w**2)*(-21 - 159 - 433 - 20 - 3).\nAnswer: -636*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -312 minus -1345?\nAnswer: 1033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1842263, 1842691, 1843119?\nAnswer: 1843547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2\/3 - 3176*o - 3812\/3.\nAnswer: (o - 1906)*(5*o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -1. Let c be -56 - -3*(-3)\/18. Let k = -57 - c. What is the second biggest value in t, 5, k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8756792.\nAnswer: 2, 11, 151, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 771, 538, 5, 0.1 in descending order.\nAnswer: 771, 538, 5, 4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 5*j - 1458, -j - 5*b = 4*j - 1450. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -377*c**2 + 867*c - 867*c.\nAnswer: -377*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 845509?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40330331402 + -21?\nAnswer: -40330331423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 108*n - 3. Let u be (72\/(-30))\/(4\/(-10)). Let h be s(u). Suppose 0 = 3*v - 0*v - h. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1660 + -1613. Sort 1, j, 7 in ascending order.\nAnswer: 1, 7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -4*o - 31 - 5, 4*o - t + 11 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 4*k**2 - 4*k. Let y(f) = 4*f**3 + f**2 - 4*f + 4. Let n be y(1). Calculate v(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -15 + 7 + 5 - y + y**2 + 0. Let p = 9 - 6. Let m be r(p). Solve 2*f + 10 = 5*a - m*f, 2*a = 4*f + 6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 11:25 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.8, -37.44 in descending order.\nAnswer: 0.8, 0, -37.44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**6)\/s)**46 assuming s is positive.\nAnswer: s**276","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.7 + 0.3. Which is the third biggest value? (a) x (b) 0.9 (c) -0.5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4715?\nAnswer: 5, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 1:18 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1004 a factor of 5982836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46.9 + 47. What is the biggest value in 0.18, z, -3?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8099303 and 15618.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 7015567 and -4.\nAnswer: 7015563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2248 - -2248.5. Let z(y) = y + 4. Let o be z(-5). What is the nearest to -0.51 in 2\/9, d, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t - 1. Let w be h(-1). Suppose -c + 18 = b + w*c, 4*c = -4*b + 32. Suppose 0*g + b*g = 2700. Round g to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -4\/7 (c) 2\/69 (d) 3 (e) -6\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p = 124 + 188. Let b be -2 + 21\/4 - p\/(-13). Factor 1\/2*z**2 - b*z**3 - 1\/2 + 1\/4*z.\nAnswer: -(z - 2)*(z - 1)*(z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 7*r**2 + 22. Let z be p(8). Calculate the remainder when 201 is divided by 1*(12\/(-10))\/(z\/1820).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8797340*r**3 + 14651679*r**2 wrt r?\nAnswer: -52784040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*n = 4*r - 93, 4*n + 858*r + 860*r + 43 + 6 = 2579*r - 856*r for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n - 4. Let x be i(8). Let d be x\/10 - (-26)\/10. Let y be (3 + 6)*1\/d. Solve 0*u = y*u + 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus 83451328400?\nAnswer: 83451328400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 5*b + 6*b - 20 - 6*b. Let x be p(5). Let j = -140 + 129. Sort 0, j, x.\nAnswer: j, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 6*c**2 + 8*c + 164. Calculate k(-6).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -850 + 21253\/25. Let r = 14.377 - 15.377. Which is the smallest value? (a) 1\/4 (b) r (c) 2\/9 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33 - -14. Let v = a - -26. Calculate the remainder when 12 is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 4*k + k)*(-k**2 + 4*k**2 - 5*k**2) + (-767*k - 2242*k**2 + 767*k)*(k - 4*k + 2*k).\nAnswer: 2234*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (87 + 42*v - 87)*(-10 - 16 + 9)*(3 - 5 + 3) as u + q*v and give q.\nAnswer: -714","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -10097815.42 to the nearest 1000.\nAnswer: -10098000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1969, 3995, 6049, 8131, 10241, 12379?\nAnswer: 14545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-252)\/(-56)*4\/(-33)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2410?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1128 a factor of 569328672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 26*f**3 + 5*f**2 + 8*f - 2. Is a(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 2:57 PM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6)\/(36\/102))\/(3\/(-81)) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(68)*4 - (-2*(sqrt(68) + sqrt(68)*2 + sqrt(68)) + sqrt(68)))\/((sqrt(28) + sqrt(112)*2)\/(sqrt(7)*-2*-2)).\nAnswer: 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -1\/3, 50, 11.94?\nAnswer: 11.94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 2*s - 11, 7*s - 3*s = 4*k + 28. Let j be 3 + 1*76\/(-13) - k. Sort j, -2\/5, 0.7 in ascending order.\nAnswer: -2\/5, j, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 6*q + q = -17, 3*b - 5*q + 1 = 0. Let m = -12 + 35. Calculate the remainder when m is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in -1\/5, -1.7, 106.455?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/25)\/((-105)\/(-35))?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/8)\/(224\/56)\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24159546.7 rounded to the nearest 100000?\nAnswer: -24200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5827344?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2319 bigger than 5846?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 29 = -4*l, 4*h + 3*l + 5 = 2. Calculate the lowest common multiple of h and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kikik. Give prob of picking 1 k and 1 i.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 276 - (-2 - 0\/(1 - 5)). Let q = p - 158. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 666158127, 666158128, 666158129, 666158130, 666158131?\n\"Answer: b + 666158126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.09, 1, 2, -3\/2, -115\/8?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -46\/3102765?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 8*i + 18. What is n(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 2*r - 100, -a + r - 29 = -9. Let y = a - -11. Does 6 divide 4\/18 - 106\/y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 5*t**2 + t + 3. Let y be b(3). Let l = 52 - y. Is l at least as big as -2\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -140 + 165.1. Let o = -52.3 + m. Let s = 27.1999873 + o. Round s to 6 dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) -1 (b) 4 (c) 0.6 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31064731 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 491*i - 488*i - 27 = 0. Suppose -i*u = -165 - 1122. List the prime factors of u.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a decade in months?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lzzzznzfzzzzzzzczccz. Give prob of sequence zlnc.\nAnswer: 7\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -125*v**5 - v + 5?\nAnswer: -2500*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -7*v - 5. Let x(y) = y**2 - y - 1. Let o be x(3). Let z = 2 - o. What is the smallest common multiple of 16 and t(z)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -100.216, -5, -1\/12 in decreasing order.\nAnswer: -1\/12, -5, -100.216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -4*b**2 - 10*b - 14 + 3*b**2 + 5. Let z be p(-8). Suppose z*h - 5 = 2*h. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-5)*1)\/(-60*(-4531)\/(-14775)).\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*y + p - 152, 5*p = y - 32. What is the highest common factor of y and 11058?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -959 - 385 = -40*h + 1473 - 617 for h.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2539920 is divided by 881?\nAnswer: 878","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-8) - (1 - 2). Suppose -2*i - f + 0*f = 0, -f = 3*i. Are i and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33146?\nAnswer: 2, 16573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8 - (13 - 70\/14). Let f be -1 - -1 - 4\/(-26). What is the second biggest value in f, z, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2 - 3 - 1 + 2*m. Let l = 0 - 2. Calculate j(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**3\/5 - 5643*c**2\/5 - 1795761*c\/5 + 864113151\/5 = 0. Calculate c.\nAnswer: -1067, 253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 3:29 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_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: Let b(o) = 4*o**2 - 2*o - 1. Let u be -1 + 3 + -4 + 5. Suppose 2 = 4*h + u*s - 75, s + 1 = 0. Calculate the remainder when h is divided by b(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 8\/1401, 4, 3, 8, 2, 3\/2 in ascending order.\nAnswer: 0, 8\/1401, 3\/2, 2, 3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1394807 a multiple of 251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -6008543 and -6008547 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 619291 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 978293588 to the nearest integer?\nAnswer: 31278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2198 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 86501223 - 42451223. Suppose r = 2*x + 3*x. Round x to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 9*q**3 + 8*q**2 - 8*q + 6. Let y = 29 + -5. Suppose y*o - 31*o = 42. Let s(n) = -n**3 - n**2 + n - 1. Give o*s(f) - b(f).\nAnswer: -3*f**3 - 2*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of i**4\/6 - 2*i**3 + 48*i**2 - 1. Determine n(11).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 71.4 + -364.4. Let r = 288 + g. What is the nearest to -0.3 in 0, -1, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -358229646 by -3.\nAnswer: 119409882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -124.794 to 1 dp.\nAnswer: -124.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(((s**(-1\/3)\/s)\/s*s)\/s)*s)\/(s\/s**8))**(-7\/2)*((s\/(s**(-2\/3)*s*s))**(1\/2))**11 assuming s is positive.\nAnswer: s**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3 + 108*o**2 - 1287*o + 5082.\nAnswer: -3*(o - 14)*(o - 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.31*-15.\nAnswer: -4.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 32180 from -7.\nAnswer: -32187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - 22 - (-5 + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11316\/13 or -869?\nAnswer: -869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of 0*m**7 + 0 + 1\/84*m**8 + 0*m**6 - 5*m**2 - 1\/15*m**5 + 0*m**3 + 0*m**4 + 0*m. What is the third derivative of n(w) wrt w?\nAnswer: 240*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, f: 1, z: 1, i: 2, d: 2, m: 1}. Give prob of sequence dimd.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*((-3)\/18)\/((-5)\/(-15))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 74 + 8. Let q(z) = -171*z**2 + 90*z**2 + 18*z**3 + a*z**2 + 1. List the prime factors of q(2).\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 692, 1396, 2098, 2798, 3496?\n\"Answer: -i**2 + 707*i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -b**7\/30 + 7*b**5\/60 + 31*b**3\/3 + 36*b**2. What is the first derivative of x(j) wrt j?\nAnswer: -28*j**3 + 14*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1382 + 1382 - 38*b**3)*(0 + 2 - 3 + 2*b) in the form h + z*b**4 + w*b**2 + o*b + a*b**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**4 + 0 + 0)*(-2 + 1 + 3)*(2 - 14 - 7 - 5 - 2 + 5 + (0 - 1 + 2)*(-4 + 6 + 1)).\nAnswer: 36*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 759 + 761 - 1520 - 33*h**2 + 35*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dqi when three letters picked without replacement from {d: 4, i: 2, r: 1, q: 5, n: 2}.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 5851 = -3*m, -12*m + 7*m + 9733 = 3*q. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*x + 26606 - 13343 - 23*x - 13263.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 323 - 101 - 2*m - 396 + m**2 + 4*m - 634 to k*m + z*m**2 + i and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 25, 37, 43, 37, 13, -35?\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32853 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 329795 and 1180?\nAnswer: 77831620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4265 - 21324\/5. What is the third smallest value in 1\/4, p, -22?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -329 - -334. Calculate the smallest common multiple of 10 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 805 and 1610.\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 36*m**2 - 4*m - 8. Is q(-2) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 289023 and 13881?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6399*j*k*x**2 - 5837508*j*x**3 + j*x**2 - 6*j + k*x**3 + 2*k*x**2 - 3*k*x wrt x?\nAnswer: -35025048*j + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -178147 (base 10) in base 6?\nAnswer: -3452431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-3\/4)\/i)\/i**(-2\/3))**(-5\/2)*((i\/i**(-7))\/(i\/((i\/(i**(-2)*i))\/i)*i))\/(((i**(-1)\/i)\/i*i*i)\/(i\/(i\/((i\/i**4)\/i)))) assuming i is positive.\nAnswer: i**(101\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 2*x + 12. Let l(t) = -t**2 - 3*t - 2. Let c be l(-1). Let r = -2 - -23. What is the remainder when r is divided by g(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42763421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 + v - 5)*(2 + 1 + 0)*(-2*v + 0*v - 2*v)*(2*v - 4*v + 4*v) to z*v + j*v**2 + g + b*v**3 and give j.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32410260\/11 - -2948703. Suppose 2*y - 9280 = -2*y. Let f = g - y. Find the common denominator of -55\/7 and f.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/25))**(5\/14) assuming p is positive.\nAnswer: p**(1\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4*j = k + 34, -2*j + 5*k + 14 = 0. Suppose 12 = -2*x + 3*b, 3*b - 12 = -3*x - 0*b. Solve -2*a - 8 = 2*z, 5*z = -x*z + 3*a + j for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + sqrt(612) + (-5 + sqrt(612))**2 + sqrt(17) + (sqrt(17) - (-2*sqrt(136))\/sqrt(8)))*-3.\nAnswer: -1911 + 147*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 3. Suppose 0 = -12*s - 15*s + 23*s. Let o be s\/((-2)\/(-2))*(-27)\/(-27). Solve -2*u + 5*g - 10 = o, -u - 4*u = y*g + 25 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -49 (b) -0.6 (c) -0.368 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by (-7)\/(-3)*(-2 + 5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/852 and 107\/109008.\nAnswer: 7739568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-4 - -4 - 2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 v, 1 x, and 1 t when four letters picked without replacement from bxtvytl?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 53045 + 0?\nAnswer: 53045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 q when four letters picked without replacement from qqqyqqqmqqqyqmqqyqqq.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -1 + 9 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + -2 + -2 - 11) + 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5 - 0.8. Let p = -15 + 8. Which is the third biggest value? (a) 1 (b) p (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7765*t - 15510*t + 7737*t.\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 4:27 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m**4 - 5*m**4 + 5*m**4 + (0*m**2 - 2*m**2 + m**2)*(3*m**2 - 3*m**2 + m**2) + (3*m**3 - 5*m**3 + 0*m**3)*(4*m - 4*m - m).\nAnswer: 5*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 156 - 121 = 5*j, 2*j = 3*m + 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -8*f**6\/5 - f**5\/30 + f**4\/24 + f**3\/6 - 11*f**2. Is t(-1) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 683198.7 months to millennia.\nAnswer: 56.933225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.6 + -4.4. Suppose 0*f - 2*f + 4*u + 6 = 0, 0 = 4*f - 2*u - 12. What is the second smallest value in -2\/3, z, f?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4664406 and 39647451.\nAnswer: 79294902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 773572739 is divided by 948?\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 26*t**3 + 0.\nAnswer: -26*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*p - p + 250, -3*z + 766 = -4*p. What are the prime factors of z?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10297.000001434 + -10297. What is n rounded to 7 dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3262.914857 rounded to the nearest 100?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148*z - 753 = 29*z - 39. Solve -2*p - 3*h = 1, 0 = z*h - 3*h - 9 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 604597, 601755, 598913?\nAnswer: 596071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10100111 (base 3) in base 6?\nAnswer: -15151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004449 rounded to 7 decimal places?\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 8. Suppose -2*c + v = -0*c. Suppose d - 3*a = -5, d + 1 = -c*a - 4. Sort d, 5, -2.\nAnswer: d, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -5. Suppose 114 = 4*v + 3*s, -u*v + 4*s + 68 = -3*v. What is the highest common divisor of 10 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -s**4\/12 + 5*s**3\/6 - 5*s**2\/2 + s - 6. Let f(j) = -2*j. Let o be f(-3). What is k(o)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**2 + 13*i - 1. Let z be o(6). Sort -38, z, -3.\nAnswer: -38, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**3 + 2*p**2 - 4*p + 6. Let s(j) = -4 + 5 - 2*j**2 + 3*j**2 + j - 2*j. Determine -n(g) + 4*s(g).\nAnswer: 2*g**3 + 2*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -7 - (0 - -1) - -1. Suppose -2*s - 2 = -6. Put w, 5, s in ascending order.\nAnswer: w, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -2. Suppose 0*p + 3*p = -4*n - 78, -4*p = u*n + 80. Is ((-498)\/(-2))\/((-27)\/n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1299 = 2*o - 5*p, -o + 56 = 5*p - 586. Is o a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 500917 (base 12) to base 11\nAnswer: 780820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-58)\/78)\/(15\/(-45)). Is q >= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 10:42 AM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8.04 - 7. Let k = p + -1.24. Let u = -1.8 - -0.6. What is the smallest value in 1\/2, u, k?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a + 108. Let r(l) = 2*l - 3. Calculate h(f) + r(f).\nAnswer: f + 105","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.7 + 4. Suppose -12*t + 10*t - t = 0. What is the nearest to -2 in 4, w, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -60 - -101. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 83 - 23. Suppose 0 = -3*w - 2*v - 115, 2*v = 5*w + 7*v + 195. Let b = w - g. List the prime factors of b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 991?\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -370, -730, -1090, -1450?\nAnswer: -1810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3280 - 3280.5468. What is t rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/14)\/(10\/(-35))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 195944245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -3, -1510, 5, 4, -10 in ascending order.\nAnswer: -1510, -10, -3, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -905 >= -906?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 4:36 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 17908 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.28 + 1.5. Let q = -7281.78038 + 7283. Let s = q - t. What is s rounded to 5 dps?\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -8 + 3 - 1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14997465 divided by -15.\nAnswer: 999831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21555595 + -21540397.903. Let b = -15190 + m. Round b to 0 dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 380 - 374, 7*o - 2*m + 95 = 0 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/6*(-6)\/(-10). Let y(w) = 5*w - 3. Let q be y(-7). Let k = 3.88801 + -3.58801. What is the smallest value in k, q, r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 48*j**2 - 152*j + 42. Calculate w(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 8*j + j + 4*j + 4.\nAnswer: -3*j - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*o**4 - 5*o**4 - 4*o**5 - 3*o**5 + 0*o**5 + o**5 + (-2 - 3 + 2)*(-o**5 + 0*o**5 + 3*o**5) - 2*o**5 + 9*o**2 - 7*o**3 - 7*o**2 - 3*o**5.\nAnswer: -17*o**5 - 7*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 y when two letters picked without replacement from uyaba.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5415, 5417, 5419, 5421, 5423, 5425?\nAnswer: 5427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - -5. Let n = u - 3. Calculate the remainder when 14 is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 122 + -84. Suppose -2*f + 29 = 5*x, 0*f - 4*x - 56 = -2*f. Let n = b - f. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (14\/(-6) - -1)*3. Let u be (-3)\/(-12)*-2*h. Find the third derivative of -2*c**3 + 10*c**u - 4*c**2 - 3*c**3 wrt c.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26318 + -183110\/7. Is 159 at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -5 (b) -0.2 (c) 2\/3 (d) 4\/883 (e) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (81 - (-3 - -69))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 102 (base 4) to base 11\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(25\/(-30) + 1). Let i = -2 - y. Calculate the smallest common multiple of i and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14*(-5)\/(-50)*5)\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -36 divided by -2904143\nAnswer: 36\/2904143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 733969 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + z = 2*z - 1, 5*z = -b + 17. Suppose 12 = 5*q + b. Let w be -10*((-1)\/2 + 0). Put q, w, 0 in increasing order.\nAnswer: 0, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -9. Let a = 6 - s. Solve b - 5*m = -a + 8, -2*m + 1 = -b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 829.54 micrometers?\nAnswer: 0.00000082954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2664325 is divided by 1418?\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmlmllllmmlmmmllllm. Give prob of picking 2 l.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7059\/(-2860) + (-2)\/11 and -49\/2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 117.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -7741a9 (base 15) to base 11\nAnswer: -3232428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*q**2 - 3*q**4 + 10*q**2 + 23 + 53 - 22*q**2 with respect to q.\nAnswer: -12*q**3 - 40*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - -2. Suppose -5*q + 35 = -f. Is q a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 445009463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -97040 by 19408.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11232332301 (base 4) to base 2.\nAnswer: 101101110111110110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - -1. Let c = -34 + -75. Let q = c - -110. Put u, -17, q in descending order.\nAnswer: u, q, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 4*x - 6 - 229*x - 2.\nAnswer: -225*x - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = -y + 10510571*t - 10510566*t, -2*y - t = -155 for y.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-2 + (3 - -1)). Let v = i - -4. Solve v*f - 2 = 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -0.137715?\nAnswer: -0.27543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 7.1, -0.1 in ascending order.\nAnswer: -0.2, -0.1, 7.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - ((42 - -14) + -17 - (16 - 3)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z - 17. Let s = -16 + 1. Let q be k(s). What is the third biggest value in q, -0.5, -0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, m: 8, v: 2, t: 1}. Give prob of picking 2 v and 1 m.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-4)*(-544)\/(-4760))\/((-21)\/5).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 2*z - 36. Suppose 5*n + 18 = -z. Let y = -4 - n. Sort 2\/3, y, -4 in decreasing order.\nAnswer: y, 2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -167*m**2 - 22*m - 11. Let a(z) = 83*z**2 + 12*z + 6. What is -11*a(w) - 6*p(w)?\nAnswer: 89*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4}. What is prob of picking 4 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4793026 - 791142?\nAnswer: -5584168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8695*f**3 + 10713*f**3 - 21661*f**3.\nAnswer: -2253*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1765*m**3 + 12*m**2 - 2*m - 172?\nAnswer: 10590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4003*w**2 + 4013*w**2 - 11936*w**2 + 3926*w**2.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32573?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (58 - 70 - 172 + (2 + 1 - 5)*(3 + 2 - 4) - 3 - 2 + 4)*(4*u + 2*u + 2*u) + 0*u + u + 3*u in the form x*u + k and give x.\nAnswer: -1492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*w**3 + 52*w + 16*w**3 - 7*w + 18*w - 9*w**3 as y*w**2 + l*w + m*w**3 + p and give l.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -219 - -1529\/7. Let t = -23.9 - -23. Let h = -0.5 - t. Which is the closest to 0.1? (a) z (b) h (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 4) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p**2 + 20 - 4 + 3*p**2.\nAnswer: -p**2 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1177f7 (base 16) in base 2?\nAnswer: 100010111011111110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 1629838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = t - 6*t - h, 4 = t - h for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33 and 2237191.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 256755*s. Let z(n) = 28*n. Determine z(c(f)).\nAnswer: 7189140*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(294))\/(sqrt(2) - (sqrt(2)*2 + sqrt(2))*3) + 3 + ((sqrt(363))**2 - sqrt(3)) + (sqrt(6)\/sqrt(2)*-1)**2.\nAnswer: 3*sqrt(3)\/4 + 369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c + 3. Suppose 21 = -21*i - 42. Let a be (4 - i - 13) + 32. Let n(q) = -12*q + 13. Determine a*l(w) - 6*n(w).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1264058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of 0*m**2 - 5\/4*m**4 + 0 - 5\/6*m**3 - 1\/6*m**6 - 3\/4*m**5 + 18*m. Factor h(l).\nAnswer: -5*l*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a microsecond in nanoseconds?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 56625*g*w**2 + 3*g*w - 193120*g - 4*w with respect to w.\nAnswer: 113250*g*w + 3*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 56 divided by 14\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -4*r**2 - 2*r - 1 - 4 - 5*r. Let d(p) be the second derivative of p**4\/12 + p**3\/6 + p**2\/2 + 6*p + 48. Determine c(w) + 6*d(w).\nAnswer: 2*w**2 - w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {y: 2, p: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -6659 plus -19018983.205?\nAnswer: -19025642.205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**3 - 2*d**2 - 2915*d - 5810. Determine s(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.48 + 8.7. Let u = -0.22 + q. Which is the closest to u? (a) -0.4 (b) 3\/8 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 243 + -243. What is the closest to d in -3, -0.06, 0.2?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 186975 and 24?\nAnswer: 1495800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, i: 1, e: 3, p: 4, t: 1, d: 1}. Give prob of sequence pipt.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 7)\/(126\/273).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**3\/3 - 49*k**2\/3 + 101*k\/3 - 17 = 0. Calculate k.\nAnswer: -51, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4031 and 655226?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(1053)*-2.\nAnswer: -108*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/5 + 1416\/(-15). Let z = -94 - t. Suppose 4*m = -2*n - 3*n + 26, z = -m + 4. Solve -9 = -n*q - 1 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 6*r + 729. Let k = 83 + r. Solve -k*o = 3*o + 20 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9812 - 11271. Sort 0, m, 5.\nAnswer: m, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -374 - -567. Suppose 2*y = 5*s - u, -2*y - 192 = -5*s + y. Suppose 5*w + 3*b = -0*b + s, 0 = -2*w - b + 15. Solve w + 0 = -2*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*k - 8 = 103*k. Solve 5*v = -10, 2*v + k = c + 4*v for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 z, 1 c, and 1 b when four letters picked without replacement from dkzbtbcbdbkc?\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38460*c**4 - 2*c**3 - 478958*c.\nAnswer: -461520*c**2 - 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j. Let h(q) be the third derivative of 113*q**5\/60 + 145*q**3\/6 + 31*q**2. Let g(p) be the first derivative of h(p). Calculate v(g(b)).\nAnswer: -452*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (0 - (-4 - 0)) - 1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 2*f**2 - 4*f - 3. Let z be a(-4). Let g = -3 + 5. Calculate the lowest common multiple of g and -2 - (z - (-2)\/2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/51153 and -65\/16762.\nAnswer: 2966874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of h**6\/6 + h**5\/10 + 7*h**2 - 70*h - 2. Find the first derivative of p(z) wrt z.\nAnswer: 20*z**3 + 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1232\/2407 - -429066401\/50547. Let w = l - 8486. Calculate the common denominator of w and -97\/30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g**2 + 21*g + 44. Give q(-8).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 5*r + 29. Let f(n) = n + 1. Calculate 6*f(c) - z(c).\nAnswer: c - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, n: 8, j: 8}. What is prob of picking 2 j and 1 n?\nAnswer: 56\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9.25927 grams?\nAnswer: 0.00925927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-6)*-3 - -7. Suppose -j*a + 5*a = -8. Suppose -300 = -a*h - 76. Is h a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1106, 1210, 1314, 1418, 1522?\nAnswer: 1626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16.6 - 17. Let r = 0.3 + p. Let d(k) = -k**2 + 36*k. Let q be d(36). What is the nearest to q in r, -0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6602387 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 34\/252*5*-2. Let d = 11\/7 + p. Let j = 22\/5 + -56\/15. Which is the second biggest value? (a) d (b) -4\/5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18709 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 3*y = 0. Suppose -4*p + 2*p + 4 = y. Solve -d + p = 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/598276 and 75\/85468?\nAnswer: 598276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 788213 - -2?\nAnswer: 788215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/13, -4, -23208 in decreasing order.\nAnswer: 1\/13, -4, -23208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/4 greater than or equal to 4\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 - -21. Let f be (2\/6)\/(i\/(-6)). List the prime factors of 2*f + (-60)\/(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 63*s**2 - 8*s + 22. Let o be u(3). Suppose o = 9*m - 1244. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/10 in 0.3, 1, 189, -1\/8, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -489 + 2769 = 24*h. Suppose -2*o = -5*o + 165. Suppose o + h = 3*s. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x**2 - 7*x**2 + 3*x**2)*(35*x + 89*x - 49*x) + 0*x**3 - 3*x**3 + 4*x**3 to the form p*x**2 + f*x**3 + m + c*x and give f.\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 40 + -3a?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((183\/6)\/(2\/4))\/1. What is the highest common divisor of n and 427?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -4.6. Let h = -4 - -11. Let z = h - 12. What is the closest to z in s, -2\/7, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g - 2*g - g + (g + 0 + 0)*(4 - 5 - 1) + (3 + 1 - 2)*(3*g - 5*g - 5*g) + 4*g + 0*g - 6*g.\nAnswer: -19*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 5*v. Let f(q) = 4*q + 9. Let m(h) = -11*h - 26. Let y(j) = 2*j**2 + 1. Let w be y(1). Let z(s) = w*m(s) + 8*f(s). Let p be z(-5). Determine r(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h - 305 - 804 + 4 - 282 - 14.\nAnswer: -3*h - 1401","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 144?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of -h**6\/120 - h**5\/12 + 5*h**4\/12 - 3*h**3\/2 - h**2. Suppose -8*i = -3*i + 40. Is p(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1513 - -1515. Solve a*p - 15 = -9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 37*d**2 + 183*d - 6. Give w(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 8, -48, 3, -1, -4 in decreasing order.\nAnswer: 14, 8, 3, -1, -4, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-3) - 4\/(-6). Suppose -5*f - 41 + 16 = q. What is the units digit of (-15)\/6*6\/f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -302321140 (base 5) to base 14.\nAnswer: -238568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -29.56 from -0.5.\nAnswer: 29.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.271 (b) -0.2 (c) 1.6 (d) 10 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2087369351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 k when four letters picked without replacement from {y: 2, a: 2, k: 7}.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 2:40 PM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5803 >= 3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -25 times 2.3006\nAnswer: -57.515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 1151 = -11*c + 15*c, -2*c - 5*b = -571. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22242.3 + 23825. Let g = x + -1315. Let y = 257 - g. What is y rounded to zero decimal places?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*4\/(-5) + (-3 + 0 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102536417 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6895385513?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -107 - -106.7. Let t be 3 + (-3 - (-4)\/9). Which is the second biggest value? (a) t (b) o (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 40, 18, 6, 10, 36, 90?\n\"Answer: p**3 - p**2 - 26*p + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gz when two letters picked without replacement from {m: 4, a: 7, z: 3, g: 1, i: 2}.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-13 - 0)*(6 + -8). Let s = h + -49\/2. Factor 3\/2*c + 3 - s*c**2.\nAnswer: -3*(c - 2)*(c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 374*d**3*o**2 - 3*d**2*o**2 - 7*d**2*o - 2*d*o**2 wrt d?\nAnswer: 2244*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5135894083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -909 bigger than -905?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*3*(1\/(-3))\/((-8)\/(-216)*-27)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 4*z - 248, -18*z + 30*z = 3*o + 750. Calculate the highest common divisor of z and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 39234.506 rounded to the nearest 100?\nAnswer: 39200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 394357637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4601020 divided by -87\nAnswer: 4601020\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41 - 46.4. Let s = -13.6 - i. Let h = s - -8. Which is the third smallest value? (a) -3\/8 (b) h (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(-5)\/105*-1.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(66) + -4*sqrt(66)*1)\/(3*sqrt(864)))**2.\nAnswer: -11\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21603523861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of p**4\/4 + 17*p**3\/6 - 2*p**2 + 37*p. Let s be u(-6). What is the second derivative of 446 + 35*w + 3*w**s - 446 wrt w?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 13*v**2 - 11*v - 12. Is h(-13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 4*c + 5 = 0, 8*c - 11*c - 18 = 4*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12638624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + h - 3346 = -p, 0 = p + 4*h - 3342. Suppose -796 = 6*c - p. Suppose c = 19*n - 12*n. List the prime factors of n.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 59249306 to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*v + 5 = -111. Solve -v*k + 24*k + 60 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36 - -8 - 8 - (-16 + 24)) + 10?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 6115 = 4*r, 4*b = 9*b + r - 6130. Suppose 1228*d = b*d + 66. What are the prime factors of d?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(12\/(-149)) + (-1)\/(-6). Let y be 320\/u - (-2)\/10. Calculate the greatest common factor of y and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*4*sqrt(50)\/(sqrt(5)*-2))\/(sqrt(360)\/((sqrt(200)\/sqrt(5))\/sqrt(5))).\nAnswer: -10*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 - 22. Let d(b) = -b**2 + 10*b + 15. Let j be d(m). Suppose 0 = -l - j*l - 5. Put l, -3, -5 in ascending order.\nAnswer: -5, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 376 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5746, 5749, 5760, 5785, 5830, 5901, 6004?\n\"Answer: w**3 - 2*w**2 + 2*w + 5745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence htkh when four letters picked without replacement from ffokohofffokofhtkffz?\nAnswer: 1\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1116, -2230, -3344, -4458?\n\"Answer: -1114*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29 - (12 + -4)) + 0 + 8 + -2?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -344?\nAnswer: 1\/344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120 + 10210?\nAnswer: 11100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, -3, 1, 17, -1, 3.\nAnswer: -48, -3, -1, 1, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25000 and 39740?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/2)\/(2\/12 - (-83 - 4290\/(-52))).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - 10 + 14*w**2 + (w + 0*w + w)*(-4*w + 3*w + 3*w) + (7 + 1 + 1)*(-5*w**2 + 8 - 8) as m*w**2 + c*w + q and give m.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 312 (base 4) to base 13\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69605309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 82\/4 + (-18)\/36. Let o = f + -18. Suppose -100 = -7*i + o*i. What is the remainder when 34 is divided by i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of c**4\/12 - c**3\/3 + 3*c**2. Let w be n(2). Suppose 5*t + 2 = 3*y + 5, -5 = 5*y - t. Sort -21, y, w.\nAnswer: -21, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y. Let o(j) = -1. Let h(f) = 4*f + 1. Let c be h(-1). Let n(v) = 3 + 2*v**2 - 3*v**2 + 5 - 5. Let t(k) = c*o(k) - n(k). Give t(b(g)).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 533 is divided by 107.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7795336 - -5?\nAnswer: 779533b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 839 + 842 - 242*m - 3*m**2 - 1675 + 5*m**2 + 242*m.\nAnswer: 2*m**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4788? (a) -8 (b) -0.3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 3)*(340 - 343 - 3*c + 0*c + 2*c**2) in the form j + w*c**2 + g*c and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.11 + -0.19. Let r = 6.26 - 0.06. Let q = -0.2 + r. Which is the smallest value? (a) q (b) s (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, k: 1}. What is prob of picking 3 j?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.115 + -3574697649.\nAnswer: -3574697649.115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16*5\/192*24\/(-135)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*v**2 + v**3 + 3997*v - 8107*v + 4111*v - 15 + v**4 in the form r*v + h*v**2 + n*v**4 + b + u*v**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 807766871 + -1097?\nAnswer: 807765774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 157, 0.0447, -1.\nAnswer: -1, -2\/11, 0.0447, 157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1464*y - 3910*y**2 - 774*y**2 + 2568*y**2 wrt y.\nAnswer: -4232","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 138 = -2*z + 3*z - 4*q, 0 = 492*z - 488*z - 2*q - 84 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from feefpfpfpfpfp. What is prob of picking 2 e?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 5) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = -142 - 1002. What is the lowest common multiple of v and 7?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of t**5\/20 + t**2. Let d(j) = -3*j**2. Calculate d(q(p)).\nAnswer: -27*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 5*y**2. Let v(a) be the third derivative of -29*a**5\/60 + a**2 + 54. Determine r(v(u)).\nAnswer: 4205*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119606 is divided by 587?\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -111827, -223694, -335555, -447404, -559235, -671042, -782819, -894560?\n\"Answer: d**3 - 3*d**2 - 111865*d + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -193 + 89. Let h = -104 - g. Let 3\/2*x - 1 + h*x**2 - 1\/2*x**3 = 0. What is x?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m - 34386*j + 34381*j + 13, 2*j = -10*m + 50 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2 + 8*a + 8. Let r be x(-4). What is the greatest common divisor of 32 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46750, 93486, 140222, 186958?\nAnswer: 233694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -13, -35.\nAnswer: -35, -13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.48 + -0.08. Let f = v - 0.4. Which is the closest to f? (a) 1\/5 (b) 4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 64 - 65.3. Let x = p + 1.31. Which is smaller: 2\/3 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 169 + -44 - (25 - -49).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 5*i**2 + 2*i + 5. Does 18 divide b(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5712353 and 5360?\nAnswer: 456988240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 97, 190, 283, 376?\n\"Answer: 93*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 69*m**2 - 23*m - 235. What is the units digit of g(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 0.5. Let b = 0 + -0.1. Let p = -95 - -94.6. What is the nearest to b in -4, p, q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 - 0 - -2)*7\/2. Let v(k) = -4*k**2 + 5*k**2 + 5 - 9*k**2 - 3*k + 2*k. Let a(q) = 7*q**2 + q - 4. Give w*a(l) - 6*v(l).\nAnswer: -l**2 - l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -362240?\nAnswer: -362235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -88*y**2 + 879*y. Let q(j) = 50*j**2 - 441*j. What is 3*k(a) + 5*q(a)?\nAnswer: -14*a**2 + 432*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 5*u + 10, -5*x - 3*u + 2*u = -29. Suppose -60 = q - x*q. What is the highest common factor of q and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1241.9109 rounded to the nearest 10?\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*d**4 + 45*d**3 + 20*d + 240 - 180*d**2 + 24*d**4 + 31*d**4 = 0. Calculate d.\nAnswer: -12, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 59 and 6077.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 577530.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence za when two letters picked without replacement from {a: 4, z: 10}.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*c - 382 = 306. Solve 0 = 13*v - c*v + 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 + 3 = 4*t, -s + 1 = -3*t for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53754, 107450, 161146, 214842?\nAnswer: 268538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1606 + 5468. Is -2 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w - 2. Let d(p) = 3*p - 21. Let y(i) = -d(i) + 9*g(i). Let o(f) = -5*f - 3. Calculate 5*o(u) + 4*y(u).\nAnswer: -u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + z - 40 = -t, -z = -2*t + 23. What is the common denominator of 151\/30 and ((-16)\/168)\/(t\/7)?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 9*d - 113. Let x(i) = i**2 - 3*i. Determine j(q) + 3*x(q).\nAnswer: 3*q**2 - 113","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1335 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -c**9\/75600 - c**8\/16800 + c**6\/1800 + c**5\/600 + c**4\/4 + 5*c. Let l(z) be the third derivative of n(z). Solve l(o) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73065 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*g - 7. Let u(s) = 11 + 4*s - 4*s**2 - 4 + g*s**2. Give u(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -115801570, -115801568, -115801566, -115801564, -115801562, -115801560?\n\"Answer: 2*h - 115801572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 174300.\nAnswer: 0, 3, 174300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -51999521 and -7.72?\nAnswer: 51999513.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -205*z + 55. Does 36 divide p(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (4 - 5) + (-1 - 15) - -5?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 24, 26, 34, 54, 92, 154?\n\"Answer: m**3 - 3*m**2 + 4*m + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-5002038.\nAnswer: -20008152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 169329420 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891) - (sqrt(891) + -1)) + 5)*-3.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 divided by -63335380.\nAnswer: 5\/12667076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -164110 (base 9) to base 4.\nAnswer: -120300231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 100693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 633029*x**2 + 56*x**3 - 2 + 2 - 633029*x**2.\nAnswer: 56*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 40109515.8 to the nearest one hundred thousand.\nAnswer: 40100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-3 + 5 + -1*(3 + 2*sqrt(1100)))*-4)**2*-2.\nAnswer: -3520800 - 32000*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*o + 75997 = 75970 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -5*g + 86. What is p(16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j**5 - 260*j**4\/9 - 16*j**3\/9 + 28*j**2 + 142*j\/9 + 8\/9 = 0. Calculate j.\nAnswer: -1, -4\/63, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -22 (b) 786 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04031 rounded to three dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 823*(11\/33 - (-2)\/3)?\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 3. Let l = p - 2. Suppose l = 5*h - 0*b + 3*b - 70, -2*h - 5*b = -47. What are the prime factors of h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -333 or -327?\nAnswer: -327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {d: 1, c: 4, h: 7, o: 1, f: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*r = 326 + 104 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 54, -56, 0, -5, -11 in ascending order.\nAnswer: -56, -11, -5, -1, 0, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**3 + 30*k**2 + 23*k - 655. Determine b(14).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2\/15)*j*j*j*(j*j\/j**(-5\/7))\/j assuming j is positive.\nAnswer: j**(481\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.26, -2\/7, 0.5, 3\/16, 2\/7 in increasing order.\nAnswer: -2\/7, -0.26, 3\/16, 2\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 6*r**2 - r - 6. Let q be v(3). Let p = -15 + q. Suppose -3 = -p*t - 6. Do t and -1.3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 9:50 PM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*x + 8*x - 3*x)*(-2*x - 3 + x - 13).\nAnswer: 27*x**2 + 432*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120128 is divided by 40033.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 116*n - 31 + 12*n.\nAnswer: -104*n - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8815505 is divided by 8815500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 7) to base 10\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -66, -111, -174, -261, -378?\nAnswer: -531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -605 (base 8) to base 6.\nAnswer: -1445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 581.3544 rounded to the nearest 10?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 2\/9 (c) -3 (d) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -105b17 (base 13) to base 5.\nAnswer: -44243112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/60 and 65\/29864319.\nAnswer: 597286380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 168\/(-160)*(-585)\/728. Does -4\/9 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 297 divided by 27.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 89, 1, 0, -2, 82, 4 in descending order.\nAnswer: 89, 82, 4, 1, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -62227217 divided by -1517737?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -384 = 27*v - 26*v. Let g = -361 - v. What is the remainder when 81 is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*k**2 - 16*k**2 + 7*k**2.\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(160\/12))\/(24\/(-20)). Suppose -i = -4*f + 11, -i - 2*f = -f - 9. Which is the closest to t? (a) i (b) 0.3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 3:11 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*h - h - 3*h + 16 + 27 - 12 to the form n + j*h and give n.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 688 + -472. Is 36 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20? (a) 16 (b) 1 (c) 2 (d) -3\/5 (e) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 2*j - 652 = 0, 5*j - 427 = 5*d - 1107. Suppose 3*w - d = -0*w. What are the prime factors of w?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11893 not equal to 11894?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of d**6\/600 + 59*d**5\/150 + 3481*d**4\/120 + 26*d**2 + 8. Find u, given that q(u) = 0.\nAnswer: -59, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(12\/5)\/p**(-13))\/(p\/(p\/p**11)*p*p\/(p**(-2\/27)*p)) assuming p is positive.\nAnswer: p**(449\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.7 - -0.2. Which is the closest to -0.3? (a) -0.3 (b) 1\/7 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175318685 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 7:58 AM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10956?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 517981*l + 162. Determine j(0).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of -n**4\/6 + 3*n**2. Let p(b) = -46*b + 45*b + 69*b. What is p(l(x))?\nAnswer: -272*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by 84684785.\nAnswer: 11\/84684785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2029 = 2*i - 7*h, 4*h = -3*i + 2986. List the prime factors of i.\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(((-2)\/(-7))\/(-1)). Suppose 5*y + v = 51. Suppose 0 = y*l - l. Solve 4*z + 2*q - 18 + 2 = l, 5*q = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1729439 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 91*c - 26. Let p(q) = -13*q - 133. Let j be p(-10). Let o(u) = -10*u + 3. Calculate j*x(i) - 26*o(i).\nAnswer: -13*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54\/11, -26\/9, 3 in increasing order.\nAnswer: -26\/9, 3, 54\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2806 (base 13) to base 14.\nAnswer: -214c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4275270967 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4890*w = 4894*w + 3*h + 31, 7*h = -5*w - 29 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 188 divided by 47\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 6 = -0*p - 3*q, 2*p = 3*q + 21 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7 - 125\/2)\/(2\/(-4)). Let k = -127 + v. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26*k**4 - 101*k**4 - 6*k**4 + (0*k + 0*k + 25*k**3)*(-4*k - 3 + 3).\nAnswer: -181*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 7*p**2 + 7*p. Let v(b) be the second derivative of 13*b**4\/12 + 13*b**3\/6 + b. Let q(c) = -2*c**2 - 3*c + 8. Let d be q(2). Give d*v(j) + 11*w(j).\nAnswer: -j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 750359249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.00588 + 1.00588. What is the closest to w in -3\/8, -0.04, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14420.6 and -0.8?\nAnswer: 11536.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5*g = 2*y + 8, 0 = -4*y - 4*g + 88. Suppose -51*b = -y*b + 170. Put 1, 9, b in decreasing order.\nAnswer: 9, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + d + 2. Let v be s(-1). Suppose -2*c = -3*i + v*c + 236, -3*i - 2*c = -206. Is i a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 3 (c) 0.3 (d) 0.01 (e) -15\/7 (f) 6 (g) 1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -909*h + 25. Let c be y(-2). Let j = -694 + c. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/4033 - 8076\/20165. What is the closest to w in -10, -23, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/75*10*-72. Let q = 126 + f. Solve -s - 2*s - 3*k - q = 0, 2*s = 5*k + 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((7\/12)\/(14980\/1605))\/((-2)\/(-4))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q*q\/(q**(-47)\/q)*q)\/q)\/q**(-7\/3) assuming q is positive.\nAnswer: q**(160\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -164900 rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence buu when three letters picked without replacement from hhuhubhhhhuhhuu?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 11*z - 10*z = 39, 52 = -4*v + 5*z for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -3*w**5 - 3*w**4 + 15*w**3 + 15*w**2 - 12*w - 12 = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1015117 and 70685.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -78*q + 115 - 141 + 80*q as i*q + d and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -p**4\/4 - 5*p**3\/3 - p**2 - 562. Determine q(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8648 - 8645. Solve -2*o + y*s + 9 = -3, -s = -o + 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -w**7\/4200 + w**5\/200 + 35*w**4\/24 + 3*w**2. Let b(h) be the second derivative of p(h). Factor b(s).\nAnswer: -3*(s - 1)*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2618 and -35.\nAnswer: 9.163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(56)\/sqrt(128))**2.\nAnswer: 39\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9377*p = -9353*p + 24 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 98 = 4*u. Is 6146\/u - (-2)\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4536 + 4540. Let f be (-20)\/(-12) - (-4)\/(-6). What is the tens digit of 74*4\/(8\/f)*t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3 + (-2*sqrt(567))**2.\nAnswer: 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -8 - 0 - (-3534 + 57). Suppose 0 = -4*x - 17*o + 19*o + 4602, 3*x + 2*o - k = 0. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/(-12))\/(4\/(-6)). Is 2\/19 at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 4048036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 11\/((-2145)\/26) - 52\/(-615)\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2a935a74 - -1?\nAnswer: 2a935a75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -1 + 4 + 12*p - 2. Let h(o) = -o**2 - 3*o + 14. Let b be h(-6). Let l be 12\/b*(-2)\/6. Determine g(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -3.4. Let v = 85 - 82. Which is the nearest to 0.1? (a) p (b) v (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/4 - -2)*-507. What is the hundreds digit of (5 - q)*-1 - 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of 55*z**7\/6 + z**4\/12 - 38*z**2 + 9*z - 3. What is the third derivative of i(c) wrt c?\nAnswer: 23100*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 1:33 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 22. Let y = j - -17. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003538 to six decimal places.\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 2 + -13 + (-7 - -16)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 5*u**3 - 3*u**2 + 3. Suppose -17*c - 6 = -20*c. Let o(a) = -5*a**3 + 3*a**2 + a - 4. Let d(g) = c*o(g) + 3*b(g). What are the prime factors of d(2)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37268 - -29777. List the prime factors of y.\nAnswer: 5, 11, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-3)*51 + 7. Let a(l) be the second derivative of -l**5\/20 - 11*l**4\/12 - 5*l**3\/3 - 3*l**2\/2 + 40*l. Calculate a(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16935 divided by 15891.\nAnswer: -5645\/5297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.949 + 2.1. What is u rounded to two decimal places?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171 = 17*x + 120. Is x at least as big as -881?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36164443 to the power of 1\/3, to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000286955 to 5 decimal places.\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2942535888 rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 7:36 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -38*a - 12. Let i be f(3). Let h = i - -248. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 8865 (b) -9 (c) 0.04 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6318 + 4894. Is -1424 bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, d: 16}. Give prob of sequence ddd.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10422133321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(2\/5)*j)\/j)\/j*j**(-13)\/j*((j*j\/(j*j**(1\/8)*j))\/j)\/(j\/((j**(2\/9)\/j)\/j)))**(-4\/13) assuming j is positive.\nAnswer: j**(6661\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 1970*r. Let s(j) = -12*j. Give s(d(q)).\nAnswer: -23640*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-14) - 6\/42*-18?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 568089942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t**3 - 223*t**2 + 71*t + 224. Determine y(74).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 6*j - 6. Let g be y(9). Let s = -21 + g. Let -3*l - 3\/2*l**3 + s + 9\/2*l**2 = 0. Calculate l.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 872.245 rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1044047347?\nAnswer: 7, 409, 364669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-216996)\/(-108) - 2\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from tdwdwdw?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 172235 and 69153?\nAnswer: 45986745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27939 and 170113?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.082*463.86\nAnswer: -38.03652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67 + -60. Suppose w*q - 34 = 8. Is 5476\/(-2)*(-3)\/q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 4 = u, 5*u - 20 = 7*r - 2*r. Suppose 4*x - 655 + 515 = r. What is the highest common factor of x and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1784, 3561, 5336, 7109, 8880, 10649, 12416?\n\"Answer: -u**2 + 1780*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2460195 divided by -3?\nAnswer: -820065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 2:09 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4773 (base 8) to base 16.\nAnswer: 9fb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 245589473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 213424, 2\/5, -120.\nAnswer: -120, 2\/5, 213424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200 = 26*f - 8 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 5:20 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 0, -2*d + 8 = -4*y - 2. Suppose -7*i - d*t = -2*i + 5, -3 = -i - 5*t. Let p = 7 + i. Calculate the greatest common factor of p and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h + 0*h + 2*h.\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12524 is divided by 395?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 6:30 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*((-51159)\/(-25581) - 2). Let k = -349621\/119378 + r. Find the common denominator of (-4)\/(-22) - 1878\/(-440) and k.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 39*s**3 + s. Suppose -2*a + 0*o = 2*o + 8, -5*a - 3*o - 10 = 0. Let z be p(a). Calculate the greatest common factor of z and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/72 and 32\/15.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 6*n. Let z be p(6). Which is the nearest to -2\/7? (a) z (b) 2\/5 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3083508 divided by 558.\nAnswer: -5526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19999673 to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + 140*c + 2880. Calculate y(-25).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 b, and 1 r when three letters picked without replacement from {v: 1, x: 4, s: 8, b: 2, r: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**2 - 4*u**2 + u**2 + (-3*u - 3*u + 5*u)*(-10*u + 10*u - 18*u).\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 231*t + 172*t - 350*t + 3171 - 1587 - 1584.\nAnswer: 53*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-63)*35\/15\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-6) + 1 + (-57)\/(-6). Suppose g*t - 24 = 5*t. Suppose 0*f + t*f - 44 = 0. Does 11 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 74 - 122. Let p = h + 67. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 11*k - 1350. Suppose -5*x + k = 85. What is the least common multiple of 11 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -100477 - -12258103\/122. Find the common denominator of 43\/2 and v.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-677384)\/(-480) - (1\/(-4) - 0). Let a = q - 1413. Calculate the common denominator of a and -17\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 bigger than -69\/23254?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/11, 0.16, -2, -250079?\nAnswer: -250079","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(3*(-1)\/9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9, 24, 45, 72?\n\"Answer: 3*g**2 + 6*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 14 - 2. Let p(c) = -c + 3 - 2*c - 11. List the prime factors of p(g).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36 - -36.038. Let o = n - -7.562. Let p = 8 - o. What is the third biggest value in 1\/2, p, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (m + m + 0*m)*(1 - 11 - 3) + m - 33 + 31 - 3*m in the form c*m + d and give c.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -k + 4 - 21, -5 = 5*k - 4*r. Suppose 5*d - 13 = -k. Suppose -2*u + 8 = 0, 0 = 3*f - 3*u - d*u + 14. Solve 6 = -0*z + f*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1610 + 2267 - 3877 - 11*x - 2*x**2 + 11*x.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -x**4\/24 + x**3\/6 + x**2. Let n be 1 + 5 - 36\/9. Suppose 4 = o - n*o. What is w(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 37*m**2 - 63*m + 6. Let u(s) = -78*s**2 + 127*s - 13. Give -13*k(g) - 6*u(g).\nAnswer: -13*g**2 + 57*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.95784564 - 1.95784563. Let r = b + 1. Round r to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -17184, 42, -5 in decreasing order.\nAnswer: 42, 2, -5, -17184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*l + 7*l + 5922. Let b = 329 + l. Factor -1\/3*i + 2\/3*i**4 + b*i**3 - 2\/3*i**2 + 0 + 1\/3*i**5.\nAnswer: i*(i - 1)*(i + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155960112 a multiple of 3104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -12546\nAnswer: 25092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 3:30 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-41)\/287)\/((-3)\/3).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 2*r + 5*x - 13, 3*r = -5*x + 37. Let n = -61 - -425\/7. What is the nearest to 1 in -5, r, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63.16287km to meters.\nAnswer: 63162.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 47*v + 931. Determine q(62).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by ((-1 - 0)*1)\/(2\/(-16))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 3*h - 13, -4*f + 6*f - 5*h = 15. Is f < 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 12:19 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zdd when three letters picked without replacement from {d: 9, z: 10}.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z + 0*z + 2*z + (-5 + 6 + 0)*(0*z + 0*z - z).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -474 and -12374843918.\nAnswer: -12374844392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2653*n + 24397 = 440*n - 2350*n - 25796 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (21 + (11 - 3 - -2) + -21)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/6 + 9\/(27\/6)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.12 - -3.28. Let p = -4 + m. Let k = p - -0.60000001. Round k to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5*n = -x + 9, 5*x = 2*n - 10. Let z(y) be the second derivative of -y**4\/12 - y**3 - 2*y**2 + 2*y - 18. Calculate z(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 29314*k + 9114?\nAnswer: 29314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 11 = q, -7*q + 4*q - 4*o = -27. Solve 16 = -h + q*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -4, 637, -2 in increasing order.\nAnswer: -4, -2, 15, 637","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/10)\/u**(-1\/29))\/(u**8*u\/(u\/(u\/((u*u**(-30))\/u)))) assuming u is positive.\nAnswer: u**(-11271\/290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-2\/17))**(-1\/7))**(1\/5)\/(((l*l**2*l)\/l)**(-4\/3)\/(l**(2\/7)*l*(l\/(l\/(l**(-6)*l)))\/l)) assuming l is positive.\nAnswer: l**(-444\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(2448)*-2 - -5*sqrt(68)) + (sqrt(612)*-1 + 3 - sqrt(612))*-1.\nAnswer: -2*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -242, -1483, -4830, -11333, -22042, -38007?\nAnswer: -60278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16.2 + 14. Let z = m + 2. Let r = 3.7 + -0.7. Put r, z, 0 in increasing order.\nAnswer: z, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 78\nAnswer: -1\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.1723 times -0.07?\nAnswer: -0.222061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m**(16\/7)\/m)\/m)\/m)\/m**(-6\/7))**32 assuming m is positive.\nAnswer: m**(32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 g, and 1 c when three letters picked without replacement from bbbbbgbwcbwbcb?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**2 + 2621*g - 851810. Calculate f(714).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1293, -4266, -8929, -15288, -23349, -33118, -44601?\nAnswer: -57804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 2*g - 68, 0 = y + 38 - 36. Suppose -32*a + g*a + 162 = 0. What is the remainder when a is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-1)\/(9\/(-12))).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**3\/10 + 53*m**2\/10 + 233*m\/10 - 57\/2 = 0.\nAnswer: -5, 1, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.6 + -0.4. Let a = 4 - -1. Suppose a*v = -15, -3*i - 4*v = i + 28. What is the closest to f in -0.5, -0.3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, m: 3}. Give prob of sequence sss.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 17187540, 17187541, 17187542, 17187543, 17187544?\n\"Answer: p + 17187539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus 523813.2?\nAnswer: 523813.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -1, -237, 3, 7, 5 in ascending order.\nAnswer: -237, -4, -1, 0, 3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.17 - 1.364. Let z = v + 0.107. Round z to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 3*q + 6, 0 = 2*u + 3*u - 5*q. Suppose -5*y + v = 0, -u*y - 6*v + 2*v = 23. What is the nearest to 1\/2 in y, 5, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00211517606 to seven decimal places.\nAnswer: -0.0021152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 22.8999 and 1.6.\nAnswer: 36.63984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2114944 divided by -104\nAnswer: -20336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g**4\/2 - 8883*g**3 + 79720693*g**2\/2 - 3610957266*g + 82621938002 = 0. What is g?\nAnswer: 46, 8837","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1630 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 604 a factor of 147247348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(-4) + -1267 - -4. Is o\/(-13) - 10\/65 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 8 and 0.027 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 301 + 3?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 178, 403, 718?\nAnswer: 1123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 108876482 and 20696.\nAnswer: 435505928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*d - 3*i, -i + 0*i + 12 = 4*d. Solve 0 = -l + 5*f - 26, f - d - 2 = l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 26022, 26025, 26028, 26031, 26034, 26037?\n\"Answer: 3*g + 26019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4, -246, -906, -2194, -4320, -7494, -11926?\n\"Answer: -35*m**3 + m**2 + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -17. Let n(h) = -h**3 + 6*h**2 - 5*h + 3. List the prime factors of n(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7 + 0.20705950797601?\nAnswer: 2.90705950797601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5*(sqrt(475) + sqrt(475)*1) + (sqrt(228)\/(sqrt(24)\/sqrt(2)) + sqrt(19) - sqrt(19)*-1*-5).\nAnswer: 4 + 47*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 - 16. Solve s = -5*f - g, f + 5*g - 13 = g for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 118705 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1618973\/610038 + -1\/23463. Suppose 22 = -v + 1. Calculate the common denominator of v\/(-924)*10*15 and k.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/326 and -17\/2100?\nAnswer: 342300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -13*w**7\/14 - w**3\/2 - 9*w. What is the second derivative of u(g) wrt g?\nAnswer: -780*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of 0*y**5 + 0 - 17*y**2 - 5\/3*y**3 - 1\/720*y**6 + 1\/48*y**4 + 0*y. Let x(u) be the first derivative of d(u). Factor x(s).\nAnswer: -(s - 1)*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236139 is divided by 891?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 12 - 3*q**2)*(-5 + 3 + 4)*(-699*q + 104*q**2 + 1402*q - 701*q).\nAnswer: -624*q**4 - 12*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 + 4)*(-11*n**5 + n**5 - 9*n**5).\nAnswer: 57*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 87727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1879*h = 627*h - 14368 + 82030 for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -33 - -1 - (-2 - (82 - 6))\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 5 + (sqrt(1053) - (sqrt(1053) - (sqrt(1053) + sqrt(1053)*2 + 2))))**2 + -4*(-5 + 1 + 0 + sqrt(1053) + sqrt(1053))**2.\nAnswer: -7399 + 900*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 17 + 53*n.\nAnswer: 53*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3729136.\nAnswer: 2, 233071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3*h**3 + 17*h**2 + 262*h - 1835. What is b(7)?\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0.2, 173, 0.4, -1\/3, -3, -25\/21?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 440*g**2*l - 301*g**2 wrt l?\nAnswer: 440*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + -3 - (2 + -1). Is -21 bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -16, 43, 334, 977, 2092, 3799, 6218?\n\"Answer: 20*n**3 - 4*n**2 - 69*n + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 6:02 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - (-7 - 10)) + 9 + (2 + -29 - -12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-48))\/((-22)\/198)*4\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1657, -2\/19, -10.5, 2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 6*v**3 - 58*v**2 - 391*v + 3. Let j be x(-6). Put -2, 2, -1, 0, j in decreasing order.\nAnswer: 2, 0, -1, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, m: 1, h: 2, n: 2, q: 6}. What is prob of sequence hnrm?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 3*a + 3. Suppose 26 = -14*f - 2. Determine o(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 381, -5, 13 in decreasing order.\nAnswer: 381, 13, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 247*b**2 + 11*b + 10295. Let i(l) = l**2 + l - 145. Let k(y) = -i(y) + j(y). Differentiate k(u) with respect to u.\nAnswer: 492*u + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 v when two letters picked without replacement from jvjdddvdv?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 55603.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 161160 and 5430480?\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 + 33788?\nAnswer: 33741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/9)\/((-100)\/(-36) + -3). Suppose 0 = y*d + 3, 9*d = 2*s + 4*d - 261. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5)\/(-15))\/((-2)\/18). Sort -2, -4, v in decreasing order.\nAnswer: -2, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149599.\nAnswer: 211, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 63*v**3 + v**2 - v + 2. Let y be x(2). Let h = 765 - y. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23933640?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -15*c**2 - 18*c - 4. Let w(p) = -42*p**2 - 55*p - 12. Let v(h) = 17*g(h) - 6*w(h). Let b be v(8). Solve 3*x + b = -x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.79968055 rounded to two decimal places?\nAnswer: -8.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 95*k*w**4 + 14*k*w**3 + 3*k*w**2 + 158*k - w wrt w?\nAnswer: 2280*k*w + 84*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 1 - 31. Let m be (-1 - i)*1\/(-3). Let a(n) = -n**2 - 9*n - 2. What is the units digit of a(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, -3.3, -0.5, -1 in decreasing order.\nAnswer: -1\/9, -0.5, -1, -3.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k + k - k)*(k + 2*k - k + (-3 + 0 - 1)*(-k + 3*k + 0*k) + 0*k - k + 2*k) to the form q + o*k + l*k**2 and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 70 - 4*j**4 + 73 + 61*j**2 + 3*j**4 + 72 - 211 to the form m*j**4 + t*j + o*j**3 + c*j**2 + r and give c.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 25*g**3 + 1116 + 2*g**2 - 1119 - 24*g**3 - 2*g. Let n(y) = y**2 - 1. Determine 2*i(m) - 6*n(m).\nAnswer: 2*m**3 - 2*m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -14. Let b be (24\/(-9))\/((-26)\/39). What are the prime factors of (q\/(-5))\/(b\/(-50))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3330 + 3329.8. Is 8.6 != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 840?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 201*w + 196*w - 16, 3*c - 2*w - 24 = 0. Solve -24 - c = -16*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8368548 + 17043948. What is o rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + 1 + sqrt(98)) + ((sqrt(200) - -1*sqrt(200)) + -3 - ((-2*sqrt(200) - sqrt(200)) + -3))**2.\nAnswer: -21*sqrt(2) + 4994","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/15)\/(-1*(-4)\/4300). Let m be (q\/45)\/(10\/(-3)). Let t = m + -8\/3. Put 2\/19, 1\/4, -4, t in increasing order.\nAnswer: -4, 2\/19, t, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -44 (b) 1\/4 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(125)\/(sqrt(15)\/sqrt(3)))\/(sqrt(450)\/sqrt(10) - sqrt(5))*1 + -5)*4)**2.\nAnswer: -80*sqrt(5) + 420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3*w**2 - 60*w - 35. Determine y(-20).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 565 a factor of 538907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44 - -29. Let i be 5\/(d\/(-2)) + 552\/9. Suppose -g + i = g. Is 23 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-645*z**2 - 884*z**2 + 87*z**2)*(5*z - 5*z + 3*z) + 0*z - 2*z**3 + 0*z.\nAnswer: -4328*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 335431?\nAnswer: 509, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -1) + (74 - 76).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 2330656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17796 + -20634. Which is smaller: -2839 or p?\nAnswer: -2839","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*n + 29*n + 3*y - 15 = 0, -3*n - 5*y + 24 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, f: 1, m: 1, x: 2, a: 1, s: 1}. What is prob of sequence xxg?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = 19 - 51. Suppose w = -3*b + 34, 3*b = 2*w + w + 18. Let z = -786 - -786. Solve -v + 8 = o*d + 3*v, z = -2*v + b for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.3 less than -483?\nAnswer: -554.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 3 = 5*u, -d + 0 = 2*u + 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -162 + 425. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -23*v - 264. Let f(z) = z**3 - z**2 + 6*z - 12. Let k be f(0). Let r be l(k). Solve r = 2*d + 2*d, 2*d - 14 = 2*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*y + 5*y = 63 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = -3*h - 6*j, -2*j - 3689 = 5*h - 3660 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 175\/4 + -44. Let m = 485.8 + -485.7. Which is the closest to -1? (a) 2 (b) -3 (c) m (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27748*k - 4703*k + 551667 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -23, -43, -75, -125, -199, -303, -443, -625?\n\"Answer: -w**3 - 13*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a gram in micrograms?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.3 and 320159.\nAnswer: 1696842.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 2 + 55*a - 4 - 3)*(-8*a**3 + 13*a**3 - 4*a**3).\nAnswer: 55*a**4 + 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*l - 549 = -38*l + 13*l for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 49*n - 251. Calculate t(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 7:21 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + s + 1. Let j be d(0). Let t(q) = -q**3 - 7*q**2 + 8*q + 6. Let o be t(-8). Solve 5*n - j + o = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 17, -76 in decreasing order.\nAnswer: 17, 9, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 84580 or -1633?\nAnswer: -1633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 6:18 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-6*296\/(-16))\/(-3) - (6 + -6).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/22 - 7\/(-77)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/9 + (-61)\/(-3). Find the common denominator of (-241)\/21 - (-3)\/21 and -2*1 - 96\/k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/11856 and 61\/416.\nAnswer: 23712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in -9, 2\/7, -14, -2, 1\/210?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1865 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 - -32. Suppose 33 = 4*c + 3*b, -45*b + 30 = 3*c - 48*b. Let w = r - c. Solve w = 5*q + 2 + 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 68\/439 or 1?\nAnswer: 68\/439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**10*u**(-5\/4) assuming u is positive.\nAnswer: u**(35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/2030 and 199\/210.\nAnswer: 6090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/136 and 211\/(-595) - (-800)\/700?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 3:47 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 939.6409 centuries?\nAnswer: 1127569.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-10)\/5)\/(4\/(-150)). Let b = 54 - i. Let g be (0 + b\/(-12))*4. Solve 25 = -2*w + g*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 60 - 34137?\nAnswer: -34057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 105, 93, 73, 45, 9, -35?\n\"Answer: -4*m**2 + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 104\/2*(505\/10 + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 376376911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.09? (a) -3 (b) -0.024 (c) 3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.16 - 2.16. Let w be 3*(4 + -1)\/27. Put i, w, -5 in descending order.\nAnswer: w, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55803*i**2 - 47844*i**2 - 73955*i**2 + 25860*i**2.\nAnswer: -151742*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 450 and 137363400.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4404405, 8808812, 13213219?\nAnswer: 17617626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 387 - (3 + 4 + -4). Suppose -4*a - q + 369 = 0, 0*a = -4*a + 4*q + f. Is 25 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -23*u. Let o(i) be the third derivative of -47*i**4\/8 - 3*i**2 - 143. Determine o(z(r)).\nAnswer: 3243*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -36\/161 and -131\/1890.\nAnswer: 43470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10161, -10131, -10101, -10071?\n\"Answer: 30*y - 10191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h**3 + 24782600*h**2 - 30708887920585*h + 61417676710810 = 0. Calculate h.\nAnswer: 2, 2478259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 208 and 12742256.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.6 + -1. Let i = 461 - 465. What is the closest to u in -0.3, -1, i?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -315, -314, -313, -312, -311, -310?\n\"Answer: p - 316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -371 + 94*y + 125 + 125 + 121.\nAnswer: 94*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 5:17 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tiitx. Give prob of picking 1 i and 1 t.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 6:49 PM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 5*z**2 - z - 2. Suppose 2*r - 30 = -3*r. What is the units digit of f(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1a (base 12) to base 7\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 3*c**2 + c - 1. Let j be k(-4). Suppose 113 + 217 = 6*h. Calculate the greatest common factor of h and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6466235251.\nAnswer: 7, 923747893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3.6 (b) 1 (c) -2\/7 (d) 6.1 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -99\/16, 4, -3, 3660 in decreasing order.\nAnswer: 3660, 4, -3, -99\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -y - 3*a + 52, -5*y - a = -44. Suppose -3*z - 10 = -y*z. Factor 3*s + 4 + 4*s - s + z*s**2.\nAnswer: 2*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19\/115903 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101366717?\nAnswer: 37, 79, 34679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 32*z + 230. Let d be c(-7). What is the third derivative of 33343*s**2 - 33353*s**2 + 15 + 67*s**6 + 122*s**d wrt s?\nAnswer: 22680*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 553112250?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -49 + 49.255. Let u = -0.035 + c. Let w = u - 0.2200366. Round w to six dps.\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.11 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 = 709*c - 5793 - 639 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38)\/(3*7\/(-42)*-4)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 + 138420?\nAnswer: 138629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1694)\/70 - -23 - 736\/20.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -3*c**5\/4 + 1275*c**4\/4 + 3861*c**3\/4 - 3831*c**2\/4 - 4503*c\/2 + 1926 = 0?\nAnswer: -3, -2, 1, 428","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 4*o - 11*o - 2*o**2 + 3*o**2 + 5 + 0*o**2. What is p(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -3*d + 55. Let t(h) = h**2 + 7*h + 8. Let s be t(-6). Solve z - s*z - d = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129*y**3 + 49*y**3 + 83*y**3.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + 320 = -3*j. Let s be (-2 - (-32)\/20) + j\/(-5). Is (3\/(-9))\/(s\/(-5238)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5830199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-252)\/270*(76\/(-95) - 372\/210)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**2 - 10*h + 18. Let r be y(7). Suppose -r = -t + 24. What is the remainder when t is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 9*h**2 - 20*h - 3. Let m be j(-6). Let c be (-72)\/7 + 2\/7. Let k = c + m. Does -1 = k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26179739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45238201 to the nearest integer?\nAnswer: 6726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 7*w**2 - w + 2. Let n be a(-7). Suppose -q = 4*o + 1 - n, -5*o - 5 = 0. Let g = q - 12. Sort -1, g, -4 in increasing order.\nAnswer: -4, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*g - 25*g - 106 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h - 5*b + 46215 = 19*h, h - 9285 = 5*b. Calculate the highest common divisor of h and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -0.055.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -2*d - 8. What is the remainder when d is divided by -8*2\/32 + 17\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/21 + (-2)\/(-7). Let l(a) = a**3 + a**2 - 50. Let j be l(m). Let h be j\/(-3) + (-2)\/3. Calculate the highest common divisor of 8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of 0*z + 1\/21*z**6 + 0*z**3 + 0*z**5 + 0*z**2 - 1 - 1\/14*z**4. Factor q(u).\nAnswer: 2*u**3*(u - 1)*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o + 7. Let u be b(2). What is the highest common divisor of u and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77270 and 215.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 473 - 665 = 0. Let -4*r**5 - 10*r - 14*r - 24*r + 94*r**3 - 42*r**3 + a - 64*r**2 = 0. Calculate r.\nAnswer: -4, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -1.8. Let v = -433\/5 - -87. Which is the closest to v? (a) -0.5 (b) g (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.157 + 5.157. Which is the second biggest value? (a) o (b) 0.2 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 149, 130, 47, -100?\n\"Answer: -32*f**2 + 77*f + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 143 - 139. Let p = -214 + 214. Solve -3*s - 5 - x = p for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from etttrxxtttxtcttttttr. Give prob of picking 1 t and 1 r.\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**3 - 40*i**3 - 66*i**3)*(-i**2 + 3 - 3).\nAnswer: 108*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/6, 0, -1989?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*h - 3 + 30*h + 3 as j*h + l and give j.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26417 is divided by 911.\nAnswer: 909","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 115171 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-5 - (-2 - 0) - -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23696.\nAnswer: 2, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71635, -76186, -80737, -85288?\nAnswer: -89839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7576262587 to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5647000 rounded to the nearest one hundred thousand?\nAnswer: 5600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*p + 43 = 71 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7.067199 millennia?\nAnswer: 7067.199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8171*h**2 + 8542*h**2 - 15580*h**2.\nAnswer: 1133*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(17))*-2 - (sqrt(68) + (sqrt(68) + sqrt(68) + sqrt(68) + -1 - sqrt(68)))**2.\nAnswer: -611 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 9*d**2 + 3*d + 3. Let m be a(-2). Let l(n) = 3*n - 1. Let t be l(4). Let u = 0 + t. Calculate the greatest common factor of u and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**6*o*o*o**2)**(-6\/29)\/(o\/o**(1\/6)*o*o*o**(-1)\/o*o**(-2\/7)*o\/((o\/(o**(-4)*o)*o)\/o)) assuming o is positive.\nAnswer: o**(3239\/1218)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -a**5\/60 + a**4\/24 + 4*a**3 + 3*a**2. Suppose -6*r + 5*r = 0. Does 8 divide q(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 666 (b) -1 (c) 2\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/4*(16\/168)\/((-10)\/(-14)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1419059718 is divided by 2015?\nAnswer: 2013","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44*n - 2018 + 2018)*(-2 + 2 - n)*(-2 - 2 + 5)*(-n - 3*n + 19*n + 5*n).\nAnswer: -880*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 351.15 - 351. Is 0.4 less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37986070?\nAnswer: 2, 5, 107, 131, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-3 - 3) + 16 - 18 - 6) + -119\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (3 - -1) + -31 + 31.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 9, 0.5.\nAnswer: 0.5, 1, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bilyylbiblbb. Give prob of sequence ib.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15004167?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -5*x - 4*x**2 + 5*x**3 - 8 - x**3 - 3*x**3. Calculate the remainder when i(6) is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 54*p - 128*p - 2 + 13*p**2 - 12*p**2 + 65*p + 9. Give r(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4*a**3 + 5*a**2 - 7*a - 12. Let c be b(-5). What is the units digit of c\/(-6)*21\/14*2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3\/76600 + -445239\/38300. Suppose 2 = -2*s - 8. Calculate the common denominator of (-3 - s) + (-54)\/(-32) and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.01 (b) -5008\/39 (c) 127\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -749\/48 + -33\/16. What is the third smallest value in 3, 0, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of t**2\/2 + 21*t + 2. Let z be y(-9). Calculate the highest common factor of z and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -171*o - 2557. What is y(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, 1\/3, 2\/3, -1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y = -y - 9 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w - 140 + 140 + 33*w**2. Let y be u(2). Suppose -5*m + y = -4*k, -2*m + 2*k + 52 = -2. What is the highest common divisor of m and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**3 - 5*t**2 + t + 1. Let j(u) = -5*u**2 + u. Let s be j(-1). Let p = s + 10. Is n(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27800603?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 k, and 1 e when three letters picked without replacement from {k: 3, f: 2, z: 1, e: 1, u: 5, l: 3}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (360\/(-52))\/((-157548)\/(-35932))?\nAnswer: -30\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1599.246 litres?\nAnswer: 1599246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 22 and 2645169002.23.\nAnswer: 2645169024.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*4\/(-36))\/((-7)\/(-42)*16).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -8*c**3 - 3*c**2 - c + 5. Let l be w(3). Let b be 6\/2 + (l - 4). Let y = b - -359. Is 39 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-180)\/(-108))\/((-30)\/54)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 17, 73, 137, 209?\n\"Answer: 4*v**2 + 44*v - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v*v**(-9))*v*v)**21 assuming v is positive.\nAnswer: v**252","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 137395991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -13*t**4\/12 - t**3\/6 - t**2\/2 - 4*t - 51. What is d(2)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 0*j = 2*j + 2, -j = -3*n + 6. Let s(k) = 65*k**2 + 2*k. Calculate the remainder when s(n) is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 9. Let v be (10\/(-4))\/(2\/(-4)). Suppose -r = 4*y + 16, 0 = 3*r - 4*r + v*y + 20. Is 9 a factor of j(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + 15*w + 14. What is b(-13)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 6:34 PM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2582*n - 1431 + 1431.\nAnswer: 2582*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = n - 5233, -6539 = 47*s - 52*s + n. List the prime factors of s.\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120 (base 10) to base 2.\nAnswer: 1111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 6) to base 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4084 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1120121100 (base 3) to base 9\nAnswer: -46540","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let l be (24\/(-15))\/((-12)\/30). Solve -q - 8 = 5*z - 3*q, -z + l = q for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65735367?\nAnswer: 3, 21911789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 6276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 174702287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r = y - 12*r - 7, -11*y = -8*y - 4*r - 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 94\/12 - 5\/(-30). Solve 4*q + 2*n + f = 6*n, 0 = -5*n for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 12*v = 24*v - 40375. Does 25 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -481519 divided by 157.\nAnswer: -3067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 69. Let f = 143 + -73. Suppose -3*q + k + f = q, -4*q + 66 = k. What is the remainder when z is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*y**2 - 4*y**2 + 2*y**2 - 13*y**2.\nAnswer: -28*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 764044 is divided by 84892.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 2)*(-2*m**3 - 4*m**4 + 2*m**3) + 2*m**4 - 5*m + 0*m + 4*m - 5*m**2.\nAnswer: -6*m**4 - 5*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u**2 - 24*u**2 - 9*u**2 - u**2 to y + t*u**2 + v*u and give t.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(72)*-2)\/sqrt(4))\/(sqrt(441) - sqrt(441)*2 - sqrt(9)) - -6*(sqrt(288) + -1 + 1 + sqrt(288)))**2.\nAnswer: -1154*sqrt(2) + 333057\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w + 12. Let q be h(5). Let j be q\/1 - 56\/30. Let g(m) = -m + 6. Let l be g(9). What is the closest to 1 in l, 0.4, j?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4889164 and 8032198.\nAnswer: 112450772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 99 and 10940?\nAnswer: 10841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 128563944 a multiple of 248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 1432 = -4*t, 3*c - 2*t - 492 - 587 = 0. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -83*t + 820. Let y(n) = -55*n + 549. Let l(i) = -5*c(i) + 8*y(i). Determine l(11).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*n**5 - 245*n**4 + 4291*n**3 - 1368*n**2 - 2*n - 133 wrt n?\nAnswer: -120*n**2 - 5880*n + 25746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -17a + 0?\nAnswer: -17a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**2 + 29*u + 27. Let q be z(15). Suppose -3*x + 7*h + 13 = 6*h, -q = 3*h. Solve -x*k + 10 = 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1154577?\nAnswer: 3, 23, 29, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1269324167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of h**5\/20 - h**4\/2 + h**3\/2 - h**2\/2 - h. Calculate u(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133 = -b - 128 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21137*k + 21138*k = 2*p + 5, -4*p = -k + 9 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/((l*l**(2\/3)*l*l)\/l))\/l**(-5)*l**(1\/2)\/l*l**2)\/(l**(2\/15)*l\/l**(-2\/5))**(2\/89) assuming l is positive.\nAnswer: l**(5161\/890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1026661, -2053204, -3079749, -4106296, -5132845, -6159396?\nAnswer: -7185949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 14*m**2 + 13*m + 13. Let t be u(13). Let h(p) = -2*p**3 - 13*p**2 - 2*p - 13. Let k(c) = -c**3 - 6*c**2 - c - 6. What is t*k(x) - 6*h(x)?\nAnswer: -x**3 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8668198 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -120, -11, 162, 399, 700, 1065, 1494?\nAnswer: 1987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001287122 to 6 decimal places.\nAnswer: 0.001287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -64*w**2 + 162*w**2 - 84*w**2 + w. Calculate r(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -50240000 to the nearest 1000000.\nAnswer: -50000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 165183863 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11191\/3 - -3729. What is the second smallest value in w, -1\/3, -2\/7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -7*m + 6. Let r(k) = -3*k - 3. Let t be r(-2). Suppose 6 = b - t*b. What is the units digit of w(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3680 divided by 5?\nAnswer: -736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -492632*m**2 + 2*m - 4948162 wrt m.\nAnswer: -985264*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 106619668055 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4521?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -8*w**3 - 4*w**4 + 1\/5*w**6 + 48*w**2 - 1\/14*w**7 - 4*w + 6\/5*w**5 - 7. Factor z(m).\nAnswer: -3*(m - 2)**3*(m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 759702 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.147 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 855 and 168270.\nAnswer: 9591390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1133844 divided by -6?\nAnswer: -188974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/10706 and -113\/6.\nAnswer: 32118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, a: 2, q: 4, x: 2, g: 3}. What is prob of sequence gqgg?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (-46)\/6)*(-27)\/39?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/80 and 151\/5850360?\nAnswer: 11700720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -g**3*m*s*v - g**3*s*v - 2*g**3*s + 40*g**2*v**2 + 1370*g*m*s*v**2 + 8*g*v + 4*v wrt m?\nAnswer: -g**3*s*v + 1370*g*s*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (0 + sqrt(448) + 5 - sqrt(448)) + (sqrt(448)*-1 - sqrt(448))*2)*-5)**2.\nAnswer: -16000*sqrt(7) + 181700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2274026 (base 8) to base 12.\nAnswer: 25b15a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-30)\/9 + 35 + (-6976)\/96.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -27*z**2 + 3*z + 2. Let p be q(-2). Let x be 2\/(-8) + 284\/p. Let j = -30\/7 - x. What is the second biggest value in -3, j, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.084 - 1.574. Let y = 48.99 - 70.88. Let o = y - r. Round o to 0 decimal places.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4080 = -484*y + 203*y - 229*y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.7 and -2.\nAnswer: -5.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 344 + -441?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((4 - 4)\/(-1))\/(-3 - -1). Suppose c*j + 5 = j - t, 4 = 4*t. Calculate the lowest common multiple of j and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -243, -1, 19 in descending order.\nAnswer: 19, -1, -243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 8:39 AM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 0*y - 259 = 4*y, 5*y = -3*u + 250. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 9) in base 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 50620620 - -1?\nAnswer: 50620621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22111200022 (base 3) to base 5.\nAnswer: -20324220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 104 + -516\/5. Which is the smallest value? (a) 0 (b) -4 (c) p (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12461830.\nAnswer: 2, 5, 43, 73, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**3 - 4*u**2 + 1 + 4*u**2)*(0*u + 0*u - 2*u) - 144 + 26*u**4 + 144.\nAnswer: 22*u**4 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 90 = -2*n - 88, 2*n + 0*l = -8*l + 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 3*h**3 - 3420*h**2 + 423504*h - 13927488 = 0.\nAnswer: 68, 1004","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - h**2 - 2*h - 20. Let g be i(0). Let b = g - -21. Is 0.07 greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 7*n. Let f be r(-7). Suppose f = 2*c + 2 - 12. Let q(d) = d**2 + 2*d + 5. Let k be q(-5). Calculate the greatest common factor of c and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 1. Let q be (b*(14 - 3))\/1. Calculate the greatest common factor of 11 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*h - 60*h**3 + 331*h**3 + 5*h + 20*h - 128*h**3 - 131*h**3.\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.06 + 0.04. What is the third smallest value in -3, -1\/4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 0.135, 2\/9 in descending order.\nAnswer: 18, 2\/9, 0.135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1376107, 2752228, 4128365, 5504518, 6880687, 8256872, 9633073?\nAnswer: 11009290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**3*b)\/b**8*b**(-3)*b*b**(-3\/4)*((b\/(b*b**(-1\/7)))\/b**(-4\/5))\/(b*b**2*b\/(b**2*b*b)) assuming b is positive.\nAnswer: b**(-673\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -1\/30*z**5 + 2*z**2 + 0 - 1\/60*z**6 + 0*z**3 + 0*z**4 + 0*z. Factor w(j).\nAnswer: -2*j**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12752 and 11888?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*l = 43*l - 4, d = l + 2737. Let y = d + 5795. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623365252 to the power of 1\/3, to the nearest integer?\nAnswer: 854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6027 + 22. Suppose 4*d - g + 334 = f, -1435 = -d - g. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + c - 985 = -5*l, 3*l - 5*c - 587 = 0. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s*s\/(s*s\/s**(-2\/5)))\/s)**(-15)*(s**(4\/7)\/s)\/(s**(-1)*s) assuming s is positive.\nAnswer: s**(-66\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 150?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 49*l**2 + 203*l**2 + 376*l**2 as h + k*l + g*l**2 and give g.\nAnswer: 628","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -9. Suppose 3*k - 56671229 = 5*y, -m*y = 7*k - 3*k - 75561629. Let j = -8890408 + k. Round j to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 107*i*z**3 - 322*i*z**2 - 2*i - 209*z**3 - 2*z**2 - 20*z wrt z?\nAnswer: 642*i - 1254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -465*l = -463*l + 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 95017782473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-4)\/(-5))\/(146\/43070) is divided by 123?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3043.296 kilograms in nanograms?\nAnswer: 3043296000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 1 + 2*i**2 - 3*i + 3 - i**2. Suppose -23 + 7 = -4*w. Let h = -1 + w. Calculate m(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 68.513616 milliseconds?\nAnswer: 0.00001903156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 129847916 to the nearest integer?\nAnswer: 11395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3512 (base 7) to base 5\nAnswer: -20113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 76253, 76421, 76599, 76793, 77009, 77253, 77531?\n\"Answer: i**3 - i**2 + 164*i + 76089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 6033 and 6077 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72272968?\nAnswer: 2, 9034121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 105 + (-7089)\/63 - -8?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-84)*(-3 - (-159)\/57). Let v = -137\/266 + m. What is the closest to v in -5, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/96 and 74\/27021.\nAnswer: 864672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -14*q**2 - 7*q + 3. Let f = -55 + 51. Let a(x) = 7*x**2 + 4*x - 1. Let u(r) = f*p(r) - 7*a(r). Differentiate u(w) with respect to w.\nAnswer: 14*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 12 - 5 = c, -f = -2*c + 2. Let i be (f + -20)\/(1\/(-2)). Suppose l + 7*l = i. Solve -z + l*o + 2 = 0, 5 = -z - 3*o - 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of 0 + 7*o**2 + 1\/24*o**4 + 0*o + 0*o**3. Give c(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-9)\/(-24))\/(3\/24). Let v(x) be the second derivative of -1\/105*x**6 + 1\/42*x**4 + 0*x**f + 0*x**2 + 1\/70*x**5 - 5*x + 0 - 1\/147*x**7. Factor v(t).\nAnswer: -2*t**2*(t - 1)*(t + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 1053294.\nAnswer: 7373058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*w = 22*w - 3*y + 1, -4*w + 18 = -y for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: Calculate prob of picking 1 k and 1 e when two letters picked without replacement from {r: 3, e: 1, a: 2, k: 1, b: 6}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 4*n - 147, -2*n = 2*q + q - 147. Is q a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r, 1 w, and 1 u when four letters picked without replacement from ggurutwtwgtgwrwggg.\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -24259, -24277, -24307, -24355, -24427, -24529?\n\"Answer: -x**3 - 11*x - 24247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(825) - sqrt(363)\/(3*sqrt(11)))\/(sqrt(108)*1 + sqrt(108) + sqrt(3) - (2*sqrt(3) + sqrt(3) - sqrt(3))*-4).\nAnswer: -16*sqrt(11)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-23) + 1 + (-1512)\/6210.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, y: 1, p: 1, w: 2}. Give prob of sequence wyvv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 7.7. Let s = -48 + 47.6. Sort t, s, -3\/7, -4\/7.\nAnswer: -4\/7, -3\/7, s, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29204 and 12250.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 316*w**2 - 28*w**3 - 25*w**3 - 5*w - 11 - 318*w**2. List the prime factors of y(-2).\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2214656 (base 7) to base 12.\nAnswer: -111bb8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g**2 + 14*g + 1. Is z(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -6*m. Let f be q(-3). Suppose -2*v = 5*u + f, 3*u - 2*v = -6 - 8. Let g be -1*3*((1 - -6) + -6). Put 4, g, u, -2 in descending order.\nAnswer: 4, -2, g, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2848*k + 1. Suppose -4*v - 24 + 0 = 0. Let b be m(v). Let u = -307655\/18 - b. What is the common denominator of -59\/16 and u?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c. Let d(o) = 4821*o - 47. What is y(d(g))?\nAnswer: 9642*g - 94","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/18*-2 - 1094\/(-6). Let n be (j\/(-6) - -5)\/(1\/(-3)). Let l = 80 - n. What is the lowest common multiple of l and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30360 divided by -6072\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, g: 11}. What is prob of picking 2 g?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 116\/(-120) + 3\/18.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 29846, 25692, 21538, 17384, 13230?\n\"Answer: -4154*x + 34000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/960 and -67\/72.\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -32, -33, -36, -41, -48?\n\"Answer: -o**2 + 2*o - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of -c**6\/120 - 13*c**5\/60 - 11*c**4\/24 - 5*c**3\/3 - 2586*c**2. Calculate u(-11).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/107)\/k*k)\/k*k\/(k**6\/k))\/(k*k\/(k*k**(-20)\/k)*k**(-11\/4)) assuming k is positive.\nAnswer: k**(-10371\/428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 7:53 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -79 - -83. Suppose n*v = w + 20, -v - 2*v = 3*w. Solve 0 = 3*z - 4*z + v for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(-2\/7))**47\/(v*v**(-6\/5)*v*v**(-8)\/v))**(1\/3))**(2\/21) assuming v is positive.\nAnswer: v**(4804\/2205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r + 2*r + r**3 - 2*r - 5*r**3 as j*r + l + p*r**3 + i*r**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -4*z + 3*b, -3*b - 5 = -2*z + 4*z. Suppose 0 = -p + 2. Solve p*f - f - 1 = l, -z*f = -4*l - 9 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.5, -3.2, -0.3, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111000010101 (base 2) in base 3?\nAnswer: 101120020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 2) in base 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -5*z + 299, -3 = 3*z + 5*x - 212. Let r(h) = h**2 + h - 3. Let l = 6 - 3. Let i be r(l). Calculate the highest common factor of i and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -530 + 982 - 39*o**3 - 476.\nAnswer: -39*o**3 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(68)*-2)**2.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 11, 11.12?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00152363404 to five dps.\nAnswer: -0.00152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-15))\/(6\/15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -110765606*k**4 - 2*k**2 + 4469*k + 87?\nAnswer: -2658374544*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253 is divided by 52.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3000 + 3?\nAnswer: -2553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 7*l - 6*l + 1 + 0. Let d be t(4). Solve -3*i = -d*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + f + f)*((82 - 308 - 164)*(-1 + 1 - 4) - 1 - 1 + 3).\nAnswer: -3122*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 136.077205 rounded to 2 dps?\nAnswer: 136.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-261)\/(-6)*-1)\/((-1155)\/(-22) - 51)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - 1\/(-1) - -5. Let c be 1\/d - (-4)\/(-3). Let q be (9\/(-12))\/(c\/8). Calculate the greatest common divisor of 6 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 345756569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**2 - 7*j. Let h = 162 - 157. Let w(v) be the third derivative of v**5\/60 + v**4\/8 + v**2. What is h*w(y) + 2*u(y)?\nAnswer: y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 27 = -6*p. Let t(g) = -2*g**2 + 12*g + 2. Let l be t(p). What is the units digit of l\/(-20) - (-4)\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3951982752 to the power of 1\/2, to the nearest integer?\nAnswer: 62865","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (24 - 93) - 6?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 4*x - 83. Let u be h(20). Let f be 15\/3 + (u + 2)\/1. Solve 1 - 5 = i + f*t, 3*i = -5*t + 2 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a + a - 3*a)*(3080 - 1502*a - 3080).\nAnswer: -3004*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 4 = 3*q. Let b(n) = -18*n**3 + n**2 + n. Let c be b(q). Let z = 35 + c. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25014076?\nAnswer: 2, 6253519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-9710)\/(-15))\/(2\/6 + (-2)\/10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -10*j - 260. Determine t(-37).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 3:27 AM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4*u - 3*p + 9 = 0, -15 = -u - 5*p. Suppose 5*g + 7 - 27 = u. What is the greatest common divisor of 16 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + -1*(-10)\/2. Let x(p) be the first derivative of 0*p - 1\/9*p**2 - 1\/18*p**4 - 1 + 4\/27*p**m. Suppose x(q) = 0. Calculate q.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -q - 4. Solve d - q*d + 4 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 k when three letters picked without replacement from hyyhcyheyeyhhekhk?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.48 - 0.28. Is -6 bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1606 + 2?\nAnswer: 1608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/4*1164\/4. Let f = 1236 - q. Let a = 519 - f. List the prime factors of a.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 1 = 0, -2*x + 3*y + 4 = -3. Suppose x*l = -2*l + 16. Suppose -4*v + 3*v = 4*q - 16, -l*q = 5*v - 16. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1745?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - -19. Suppose 4*v - 310 + h = 0. What are the prime factors of v?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p**3 + 11*p**3 + 27*p**2 - 761 + 2*p + 354 + 406 - 9*p**2 to b*p + s*p**3 + c + g*p**2 and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 863*z - 3*o = 861*z - 4, 2*z = 4*o - 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 25\/(-70)*-4 - 4\/(-7)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*n - 23 + 15 + 8*n**2 + 8 as m + x*n + l*n**2 and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 5*t**2 - 4*t - 24. Determine p(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 50328 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4114968353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 561487*o**2*z**3 + o*z**3 + 131*o - 698*z**2 + 2 wrt o?\nAnswer: 1122974*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 54.737, 2\/7.\nAnswer: -1, 2\/7, 54.737","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -x**3\/6 - x**2\/2 - 22*x. What is c(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -47\/4, 1, -2\/17 in increasing order.\nAnswer: -47\/4, -2\/17, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((480\/30)\/(-64))\/((-6)\/(-32))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 + 0 = 8*r. Let i be r\/(-5) + (-27)\/45. Solve -1\/5*q**3 + 0 + 0*q - 2\/5*q**4 + 0*q**2 - i*q**5 = 0 for q.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 835724940 to the nearest integer?\nAnswer: 942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r + 27. Let p be w(-23). Suppose -8*v + 13 = -5*v - 2*o, 0 = p*v - 5*o - 8. Solve -3*d - 7 = -v for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 19*h**2 + 28*h + 507. Calculate x(17).\nAnswer: 1561","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 166 - 232. Let r be 31\/11 - 12\/y. Solve -4*m + 16 = -r*k, 1 = k + 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -21*a**2 - 2*a. Let v(p) = 1196*p**2 + 115*p. Let c(i) = -115*m(i) - 2*v(i). Let n(k) = 3*k**2. Give n(c(h)).\nAnswer: 1587*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of 6 + 27\/10*f**5 + 0*f**4 + 17\/2*f**3 + 6*f + 0*f**2. What is the second derivative of m(o) wrt o?\nAnswer: 324*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 391100 is divided by 4712.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/1520 and 57\/30280?\nAnswer: 1150640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4 + sqrt(1573) + 2 + -3).\nAnswer: -10 + 22*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 10:45 AM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + 12 + 5 + -34.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -252413\/3 + 2539637\/30. Let f = b - 515. Suppose 4*p**2 - f*p**3 + 0 - 2\/5*p = 0. Calculate p.\nAnswer: 0, 2\/19, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q**2 - 55*q\/4 + 15\/4 = 0.\nAnswer: 3\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*n + 64*n - 29*n - 893*n**2 as i + x*n + t*n**2 and give t.\nAnswer: -893","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(375)*-5 + (sqrt(15) + (sqrt(2160)*-1 - sqrt(2160) - sqrt(15)) - sqrt(15)))\/(((sqrt(120)*-2)\/sqrt(6))\/sqrt(4)).\nAnswer: 25*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285*o + 288*o = 570*o - 10*m - 95, 0 = o + 2*m + 25 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1621992)\/(-312) - (-4)\/13. What is c rounded to the nearest one hundred?\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -273, -1540, -4917, -11460, -22225, -38268?\nAnswer: -60645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -25 + -3 + 34.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 6948, 1413, -3 in decreasing order.\nAnswer: 6948, 1413, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23845 - -4779. Let s = w + 858031\/45. What is the common denominator of -43\/45 and s?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 14*c - 9. Let d be m(8). Suppose 3*l = 0, q - 585 = -2*q - 4*l. What is the highest common divisor of d and q?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -706 + 723. Suppose 1200 = i*l - 7*l. What is the smallest common multiple of l and 90?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -1\/60*y**4 + 3\/10*y**3 + 0*y**2 + 0 - 41*y. Find u such that z(u) = 0.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 15. Suppose 4*l**4 - 2*l**3 + 5*l**5 - l**5 - l**5 - 5*l**q = 0. Calculate l.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/7))**(-27) assuming c is positive.\nAnswer: c**(-27\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*m - 8 = -18*m + 4*h, -4*h - 10 = -3*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l - 2. Let u be f(-2). Put 3, u, 2243 in increasing order.\nAnswer: 3, u, 2243","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 825*n**2 - n - 1554*n**2 + 759*n**2 - 5917*n**2 - n as t*n + x*n**2 + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r + 4 = 9*r. Suppose v - 38 = r*k + k, 3*v + 3*k - 54 = 0. List the prime factors of v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 60359329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100936.\nAnswer: 2, 11, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -714 + 779. Suppose 69*r = l*r + 20. Solve -3*o + w - 1 = 2*w, -r*o = -w - 1 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {e: 2, t: 5, d: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -119154 * -2.\nAnswer: 238308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000028379 to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 258 = 2*l, 0*l + 2*l = -2. Let w be v\/(-60) + (-1)\/5. Put 1\/2, -4, w in descending order.\nAnswer: w, 1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**(-1))**(5\/11)\/(g**(-1))**(-45))\/(g**(-2\/9)*g**(-2\/9)*g)**(-3\/19) assuming g is positive.\nAnswer: g**(-27875\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xeeeexeeeexexxee. What is prob of picking 1 e and 1 x?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5b6d6 (base 16) to base 12\nAnswer: -160872","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -197, 3\/4, 3, 5696 in increasing order.\nAnswer: -197, 3\/4, 3, 5696","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 149413217 divided by -121573\nAnswer: -1229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6586570 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: Calculate prob of picking 1 w, 1 a, and 1 n when three letters picked without replacement from {n: 1, w: 3, a: 9, d: 2, f: 2}.\nAnswer: 27\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2355549857.\nAnswer: 2355549857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 + 23.046. Let z = -0.614 - p. Let g = z + 0.36. Which is the closest to 0? (a) -3 (b) g (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + c + 1. Let q(a) = -a + 2. Suppose 5*b - 2 = -2*h + 1, -3*b = -h - 15. Let d = -2 - h. Let y be q(d). What is t(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3667394 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -2. Let m = -1 + 2.1. Let a = -0.1 + m. What is the biggest value in -2, c, a?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*n**3*o**2*p**3 + 393376*n**3*o*p**3 + 2918*n**2*p + 2*n*o**2*p**2 + n*o*p**2 + 2*o**2*p**2 - 26*p**3 wrt n?\nAnswer: 168*o**2*p**3 + 2360256*o*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 235253540 (base 7) in base 16?\nAnswer: df5185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -14187243, -14187226, -14187209, -14187192, -14187175, -14187158?\n\"Answer: 17*b - 14187260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**2 - 21*c + 6. Suppose 3 = 9*k - 10*k. Let v be ((-22)\/8)\/(((-24)\/k)\/32). Determine j(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/6)\/1*(-9)\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/84 - (5572\/196 - 3).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 11 = 4. Let w = h + -4. Find the second derivative of k**3 - 1 - k + w wrt k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4990 + 54757\/11. Let o = u + 323\/44. Calculate the common denominator of o and (-31)\/(-4)*(-6)\/1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74728485 to the power of 1\/2, to the nearest integer?\nAnswer: 8645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let j be (-196)\/(-11) - (-6)\/33. Let p be (-2)\/(-9) + 32\/j. Let v(c) = p*c + 2*c - 2*c - 4*c. Let y(t) = t. Give v(y(w)).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2422249 is divided by 5781.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-eight fifths of a meter?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**31)**(-46)\/((m\/m**(1\/18))\/m**(-7)) assuming m is positive.\nAnswer: m**(-25811\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-47 + 86 - -9) + -8 + (2 - -2) + 8\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -777 = 121*o + 770 - 458 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 4318\nAnswer: 3\/2159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 3*z = 8 + 19, -z + 20 = 5*x. Suppose x*v - 13 = 2. Solve -v*h + 3 = -17 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9756*i**3 - 9231*i - 87*i**2 + 87*i**2 - 1764*i**3 wrt i?\nAnswer: 47952*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18.86, -0.3, 0.16 in increasing order.\nAnswer: -18.86, -0.3, 0.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 141441*b**5 - 16*b**4 - 1687*b**2 - 756.\nAnswer: 8486460*b**2 - 384*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 0.9, 9927\/4, 2\/3, 0.3, 2 in ascending order.\nAnswer: -4\/7, 0.3, 2\/3, 0.9, 2, 9927\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 2*k**3\/5 - 38244*k**2\/5 - 76494*k\/5 - 38248\/5 = 0?\nAnswer: -1, 19124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3615279166 + 0.14.\nAnswer: -3615279165.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-20)*22\/11?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o - 8*o**3 + 0*o**2 + 4*o**2 - 6 + 9*o**3. Let x be s(-3). Suppose x = 5*a - 9*a + 12. Solve -a*u - 4 = -p, -5*u - 18 = 4*p - 0*u for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-60)\/96*(-3 + (-17)\/(-5)). Which is smaller: 2.48 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -8*a + 1. Let p be y(-2). Let w = p + -14. Solve -6*i + i - 2*u = 13, w*i + u + 7 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -6 (b) 3\/2 (c) 5\/3 (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 26\/5 and -20.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**3 + 2*z**2 + 2*z + 6. What is the remainder when 673 is divided by d(-2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29763 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.1, -0.2, 2, 0.006.\nAnswer: -0.2, 0.006, 0.1, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2155100, 2155096, 2155092, 2155088, 2155084, 2155080?\n\"Answer: -4*p + 2155104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/(-6)*(-660)\/8. Suppose -5*b + 17 = -0*n + 2*n, 5*n + 5*b = 5. Let a be (-79)\/n - (-15)\/60. Calculate the greatest common divisor of x and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*j - 42938, 0 - 1 = d. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**2. Let b(h) be the second derivative of h**3\/3 - 3*h. Calculate b(w(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 1416 = -4*j + 32835, -2*w + 2*j + 62888 = 0. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 9 (c) -32 (d) 2 (e) 3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 1 + 3 - (-6 - -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2 + 1131390*u + 320010833025.\nAnswer: (u + 565695)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3*(-217 - 1)*7\/(-42) is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 860009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(13\/3)\/b**(-12))**37)**(-1\/11) assuming b is positive.\nAnswer: b**(-1813\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -8*l**3 + l**2 - 12*l - 115. Let h be p(-4). Which is bigger: 479 or h?\nAnswer: 479","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5)\/(65\/13)*-4711?\nAnswer: 7, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/15*(6\/9 - 2))\/((-834)\/2780).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -474*3.\nAnswer: -1422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100000000001000001011 (base 2) in base 11?\nAnswer: 2a614a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 27 and -22514.641.\nAnswer: -607895.307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 82 in -0.4, -0.1, -1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18186 divided by -1.\nAnswer: 18186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 12:39 AM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1 + (sqrt(27) - sqrt(3)))**2.\nAnswer: 4*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 - (-28 + -53 + 100).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-3))\/((-45)\/17550). Differentiate -510*s - 77*s**2 + 148 + 77 + 510*s - z*s**2 with respect to s.\nAnswer: -414*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 20, -5*z - 22 = -4*z - 5*c for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 79992 and 29910544.\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4451.897 decades to months.\nAnswer: 534227.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -144, -308, -490, -696, -932, -1204, -1518?\nAnswer: -1880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o - 3*p - 1, 2*o = o + p - 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4246, -4357, -4460, -4555, -4642, -4721, -4792?\n\"Answer: 4*o**2 - 123*o - 4127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -103187 or -722299\/7?\nAnswer: -103187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18*b**3*c + 1354*b**3 - 3*c wrt c.\nAnswer: -18*b**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of -i**4\/24 + i**3\/2 + i**2. Suppose -3*h - 18 - 3 = 0. List the prime factors of a(h).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 611960263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 206*j**2 - 5*j + 124. Let u(d) = 3*d**2 - d + 3. Let l(c) = -3*t(c) + 15*u(c). What is the derivative of l(q) wrt q?\nAnswer: -1146*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x - 4 - 7*x + 6 + (4 - 3 - 2)*(0*x - 5*x + 3*x) in the form q + o*x and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*s + 198 = 125 + 1344 for s.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 754321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 72*l - 1119. Determine x(16).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3*q**2 + 3*q + 1. Let x(y) be the third derivative of -7*y**5\/30 + 2*y**4\/3 + 2*y**3\/3 - 2*y**2 + 125*y - 5. Determine 16*b(k) - 3*x(k).\nAnswer: -6*k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 4 + -2 - 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2396389 to the nearest integer?\nAnswer: 1548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 40 in 0, -7491, -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a. Let q(x) = 668*x**2. Give c(q(h)).\nAnswer: -668*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -o + 10, 0 = p + 2*o + 2*o - 2. Let x(q) = 26 + 6*q**p + 2*q + q**3 - 34 - q - 2*q**3. Give x(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 3*y**2 + 4*y - 1. Let m be l(-4). Let c be (-3*26\/(-6))\/(m\/16). Does 13 divide (2 - -3)*c\/(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**2 + 46*s + 164. What is k(31)?\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/((g*g**16)\/g*g*g)*g))**28 assuming g is positive.\nAnswer: g**476","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w**(2\/9)*w))**(-18))**(-29))**48 assuming w is positive.\nAnswer: w**(-5568)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -3 (c) 8\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yryryppyyrpprpw. Give prob of sequence wy.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 2:55 AM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + (-27*2)\/(-2). Suppose 17*u - p = 7*u. Solve -3*l - 14 = 1, t = u*l + 15 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of -143*p**7\/210 - p**5\/20 + 2*p**4\/3 - 7*p**2 + 13. Find the third derivative of x(c) wrt c.\nAnswer: -3432*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -178, -1472, -4986, -11830, -23114, -39948, -63442, -94706?\n\"Answer: -185*p**3 + p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3133223 (base 4) to base 14\nAnswer: -5307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 13*c + 79. Let k be o(-6). Let f(p) = 26*p**2 - 4*p + 5. What is the remainder when f(k) is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 5:52 AM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -195 - 5. Let v = 383 + u. What are the prime factors of v?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 133780712?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c + 16. Let j(g) = -g - 16. Let m be (3\/(-6))\/((-1)\/(-6)). Let u(l) = m*y(l) - 4*j(l). What are the prime factors of u(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -s**5\/20 - 3*s**4 + 18*s**2 - s - 39. Let y(w) be the first derivative of o(w). Solve y(q) = 0 for q.\nAnswer: -24, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v + 4. Let q(w) = -w + 1. Suppose 12*o - 10*o - 296 = 0. Suppose -4*n + 24 - o = 0. Let a = 30 + n. Calculate a*d(l) + 5*q(l).\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (10\/22)\/(11670\/(-1556))\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1865056 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1723 + 1033. Let i = 1037 + m. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 5:31 PM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 16 + 9*o)*(o - 3*o - 2*o**4 + 4*o) - o**3 + o**3 + 3*o**5 + (2*o**2 - 3*o**2 - o**2)*(2*o**3 + 2*o - 2*o).\nAnswer: -19*o**5 + 18*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -40, -41, -42, -43, -44?\n\"Answer: -l - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.09859 rounded to 1 decimal place?\nAnswer: 28.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 33*b - 30*b + 1808 = 0, -2*p - 5*b = 890. Which is bigger: p or -451?\nAnswer: -451","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26437 is divided by 161?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**5\/9 - 254*w**4\/3 + 161186*w**3\/9 + 66259274*w**2\/9 + 72236560*w + 1614781600\/9 = 0.\nAnswer: -332, -5, 293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/14475 and 26\/5.\nAnswer: 14475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 44926722 a multiple of 241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 244506437?\nAnswer: 7, 53, 659047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m. Let x(g) = 2*g**2 + g - 2. Let q = -11 - -9. Let d be x(q). Let b(z) = d*z**2 + z**2 - 3*z**2. Determine b(o(l)).\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -14, 9673.\nAnswer: -14, -5, 9673","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2612189, -2612197, -2612205, -2612213, -2612221, -2612229?\nAnswer: -2612237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 u, 1 t, and 1 x when four letters picked without replacement from ueeqdeteqqux?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.04 (b) -2 (c) -20 (d) 428\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 9 = 0, -28 = s + 3*s - 4*j. Let c(z) = z**3 + 5*z**2 + 2*z + 1. Determine c(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, u: 4, j: 4}. Give prob of sequence ttjt.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - (0 - (-1 - 7))) + 4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -190 - -190.1. What is the closest to -0.3 in -2, d, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -311*o**4\/4 - 123*o**2\/2 + o + 333. Find the second derivative of l(h) wrt h.\nAnswer: -1866*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 160*q**2 + 55*q - 4. Let b(f) = -80*f**2 - 30*f + 2. Calculate -11*b(l) - 6*j(l).\nAnswer: -80*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 9879.662 minutes?\nAnswer: 592779720000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*0.041921706.\nAnswer: 0.083843412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3881661, 3881662, 3881665, 3881670?\nAnswer: 3881677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 9:37 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 160 and 24880.\nAnswer: 49760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 44 - 91. Let t = -28 - r. Which is smaller: 13 or t?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*v + 228*v + 133*v - 3599*v**3.\nAnswer: -3599*v**3 + 399*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 111605 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 1642*d - 500*d - 6484*d - 12430*d - 1389*d as h + s*d and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - -1 - 4 - 12) + 2. Sort l, 31, 0 in descending order.\nAnswer: 31, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*f + 24*f - 343*f + 119*f.\nAnswer: -108*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 615\/3510 - (-38)\/684?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -60ed - -3?\nAnswer: -60ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 4*w + 66. Let g be b(-13). Solve -4*f = -g - 2 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by -84.\nAnswer: -11\/84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 10:46 AM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65, -124, -183, -242?\nAnswer: -301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 5*k - 75 - 47 - 47 + 169. Let z(j) = 6*j + 1. Determine 3*n(t) - 2*z(t).\nAnswer: 3*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 75*z + 75*z - 140*z + 3 to the form v + j*z and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of 0*c**6 + 0 + 0*c**2 - 6*c + 1\/4*c**4 - 4\/21*c**7 + 0*c**3 + 0*c**5. What is the third derivative of s(b) wrt b?\nAnswer: -480*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -179*x**5 - 78*x**4 - 76815*x.\nAnswer: -3580*x**3 - 936*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -28, -29?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 0 - 12*h - 31\/2*h**2 - 2\/3*h**3. Is y(-13) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-7)*(-1 - -2). Let q = -3005\/11 - -273. What is the nearest to -0.1 in 0, y, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 442 + -441.146. Let n = c + 0.026. Let z = -0.8853 + n. Round z to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 464466?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2224 + 2224 + 563*o + 133*o - 4449 + 0*o - o + 0*o + (0 - o + 0)*(4 + 3 - 6) in the form q*o + c and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2895*l + 8698*l - 2894*l - 2906*l.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.759 + -6.364.\nAnswer: -5.605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 913 divide 20590889?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -4*f + 332, -70*f - 5*n + 330 = -66*f. What is the remainder when f is divided by 36*((-4)\/3)\/(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 969*i - 2036. What is a(2)?\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -2 + (0 - (2 - -1)) - -1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43 + 278 - 3)*(2 - 2 + 2*n + (-1 - 4 + 4)*(-3*n - n + 2*n) + 27 - 27 + n).\nAnswer: 1590*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x**2 + 249876*x - 5995296 = 0. What is x?\nAnswer: 24, 83268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 531661 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -487, -2385, -5637, -10237, -16179, -23457?\n\"Answer: l**3 - 683*l**2 + 144*l + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 100, 77, 5, -17, 0, 9.\nAnswer: -17, 0, 4, 5, 9, 77, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1923907 divided by -110\nAnswer: 1923907\/110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 40446 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12752.8*0.31.\nAnswer: -3953.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 113 = -377. Suppose -10 = -2*b - 16. Let n = b - -15. What is the greatest common factor of c and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 8*j**2 + 14*j. Let g be a(-6). Let i be (g + -35)\/(1\/(-220) - 0). What is i rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sy when two letters picked without replacement from {s: 1, u: 2, y: 1, c: 1, d: 2, e: 2}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -667473, -667465, -667449, -667425, -667393?\nAnswer: -667353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from zzzzgytztyzzz.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.2 - -4. Let q be -1 + -1 + 1\/(14\/24). Which is the biggest value? (a) q (b) d (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 4:38 AM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (4 - -50) - (-73 + 56)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 267155*a**4 - 7289445*a**3 - 5421340*a**2 + 2135820*a + 560 = 0. Calculate a.\nAnswer: -1, -2\/7633, 2\/7, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 861.\nAnswer: 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1692)\/658 + (-8)\/(-14).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5)\/3 - -3)*6. Suppose 6*r = 10*r - 20. Let v = c - r. Solve 0 = -2*k + 11 - v for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 0*n + 2*j - 2 = 0, -4*j + 4 = 5*n. Suppose 5*l + 3*g + 4 = n, 2*l - 7*g - 14 = -3*g. Suppose 3*z - 14 + 2 = 0. Which is greater: z or l?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.7 - 0.59.\nAnswer: 1.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32*x**3\/3 + 44*x**2\/3 - 4*x.\nAnswer: -4*x*(x - 1)*(8*x - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47772 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 2\/30319?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 63*l + 36. Let v be m(9). Let n = 603 - v. Let d(r) = -3*r**2 - 3*r + 1. Let w(a) = -4*a**2 - 4*a + 2. Let i(s) = -3*d(s) + 2*w(s). Determine i(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + (-7)\/(-4))*(-6)\/15.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4*y = -0*y + 163, y = 3. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(112) - (sqrt(112) - (sqrt(112) + 3 + sqrt(112)*-3 + sqrt(112))))**2 + sqrt(252)*-5*-3)*4.\nAnswer: 968 + 528*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*m - 59*m = 65*m - 5*u + 5, 2*m - 53 = -9*u for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*147\/8575*5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(343) - (sqrt(343) - -1*sqrt(343) - sqrt(343))**2 - sqrt(343) - ((1 + sqrt(7) - sqrt(7)) + -5)) + sqrt(175) + sqrt(175)*2 + -3 + 1 + -2).\nAnswer: -1715 + 75*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - sqrt(6)\/sqrt(2))*-2*-4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ug when two letters picked without replacement from gugug.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l - 3*l + 102. Let p = l + -76. Let f = p + 62. Does 20 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -2*m**3\/3 - 7082*m**2\/3 - 6271520*m\/3 - 12458200 = 0.\nAnswer: -1865, -1670, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 384 and 320?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 239*d**2 + 5*d + 6. Is 29 a factor of x(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11153709 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -l**4\/12 - l**2. Let t(j) = -4457 + 8*j - j + 4457. Determine p(t(k)).\nAnswer: -14*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23430.\nAnswer: 2, 3, 5, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 12*g**2 - 2 + 14*g**2 - 2*g**3 in the form p*g**3 + c*g**2 + v + s*g and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 10:59 PM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j**(-3\/4)\/j)\/j*j*j*j*j*j*j**(-1)\/j)\/(j\/j**(2\/5)*j*j*j**(-6)))**(-12) assuming j is positive.\nAnswer: j**(-279\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14217 is divided by 2366?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -455*a**6 - 72*a**2?\nAnswer: -54600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 977009 and 319.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*u + 980 = -505. Determine m, given that 55 + u*m**2 + 20*m - 275 + 39041*m**3 - 39046*m**3 = 0.\nAnswer: -2, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of 10105*r**7\/7 + 2*r**3\/3 - r**2 - 1355*r - 3561. Find the third derivative of q(j) wrt j.\nAnswer: 1212600*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 9*o**2 - o - 7. Let d be f(-9). Suppose -d = -4*i - 42. Let z be 3\/15 + (-249998)\/i. What is z rounded to the nearest one thousand?\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - -47026852227536.\nAnswer: 47026852227534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 0*t**2 - 4*t**3 + 3 + 6*t**2 - 6*t**2 wrt t?\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58383711.\nAnswer: 3, 6487079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: -9+1228\nAnswer: 1219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 83 - 57. Let z be 6\/(-9) - h\/(-3). Find m, given that -11*m**2 + 3*m**4 + 0*m + z*m**2 - 2*m + 0*m**3 - 2*m**5 + 4*m**3 = 0.\nAnswer: -1, -1\/2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - (3 - 5)) + 2. Suppose j*y = -2*y + 48. Is y a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 4*q + 41, 3*q + 7 = a + 6*q. Let x(m) = 2 - 1 - 12 + 6 + 3*m. What is x(a)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -10, -67, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00681 to four decimal places.\nAnswer: -0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -58528.1 take away -0.04?\nAnswer: -58528.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-50)\/30)\/(20\/(-24)). Suppose -d + y = 3*y + 77, s*y - 207 = 3*d. Which is greater: -70 or d?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3215 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wcj when three letters picked without replacement from {o: 7, c: 3, w: 3, j: 6}.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + 4\/3)\/((-3)\/(-36)). Suppose 10*r = m*r - 30. Let s = -3 - -6. Solve 2 + s = -r*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 282*h**2*j*t + 25*h**2*j - 1328*h**2*t - 144*h**2 - 699*h + 5*t wrt t.\nAnswer: 282*h**2*j - 1328*h**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -305 - -218. Let q = -86.999836 - m. What is q rounded to five dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 6*i. Let c be r(2). Suppose 4*o - 4 = c. Suppose -2*y = o*j - 701 - 165, 5*j = -2*y + 1081. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35517 + 55950. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-32)\/8 + -12*1\/(-2). Does 9 divide (b + 46)\/(4\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(-20\/9)\/c*c)\/((c*c**(14\/3)\/c)\/c))**(-1\/4) assuming c is positive.\nAnswer: c**(35\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + -14 + (3 - -7).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3*i + 468 = 1624, 1176 = 4*s + 2*i. Let u = s + -287. Solve -4 = k - u*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22232 + 1?\nAnswer: -22231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (318\/10)\/(15\/75)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/3633 and 77\/33738633.\nAnswer: 236170431","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6552, 4, -4, -5, -15 in decreasing order.\nAnswer: 6552, 4, 1, -4, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14*h**2*q**2*z**3 - 6*h**2*z**2 - 3*h**2*z - 1481*q**2*z**2 + 21*z**3 + z**2 + 6 wrt q.\nAnswer: -28*h**2*q*z**3 - 2962*q*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -0*x - 3*x. Suppose -23 = -4*k - x*a, k + 4*a - 15 = -6. Suppose -k*l + 61 = 1. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1375) - (sqrt(1375) + sqrt(1375)*1 - sqrt(1375)) - 5*sqrt(495))\/(-5*sqrt(176) + (sqrt(704)*2 + sqrt(704) + sqrt(704) - sqrt(11))).\nAnswer: -15*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1153\/15 - -77. Let d be (-68)\/48 - 9\/(-12). What is the nearest to 1 in d, p, 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + n - 11. Let p be 2 - ((-36)\/6 + 0). What is the tens digit of w(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 5. Calculate the remainder when -55*(30\/(-75))\/(1*2) is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 2*b - 4*i + 374, -178 = b - 5*i. Let v = b + 442. Let a = v + -144. Does 21 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {v: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 50*1.79718\nAnswer: 89.859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -435 by -1.\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1144.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, i: 1, h: 1, k: 2}. Give prob of picking 1 i and 1 x.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19305 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2200423 (base 5) to base 3.\nAnswer: 1220121002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/84 and -103\/1920672?\nAnswer: 13444704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 10*z + 5. Let t be a(-10). Suppose 2*r - 51 = t. Solve c + 3*c - 2*d + r = 0, -3*c = 4*d - 1 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 + 26. Suppose g = 5*d + 2*n + 2 - 17, 0 = 2*d + 2*n. Suppose 0 = 4*w + w - 15, -d*w - 18 = -k. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 2*f + 3*x + 6, 2*f - 6 = 3*x. Suppose 0 = n + 4, 4*w = -f*n - 2*n. Solve -c - 3 = 3*v + 1, -2*c - v = -w for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -212727, -212717, -212705, -212691, -212675?\nAnswer: -212657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.135 and -0.2?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s. Let l be z(0). Let b be 1\/2 + 15\/20. Does l = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = g - 4*c, -5*g + 10*c = 8*c + 322. Let r be g\/(-9) - (-85)\/51. Solve 0 = 3*l - r, -l = -5*u - 3*l + 11 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3992*b - 15201*b - 6396*b to d*b + i and give d.\nAnswer: -25589","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 3*g, -3*o - 2*g + 16 = o. Factor -2*b**3 + 5*b + 10*b**2 - o*b**3 - 7*b.\nAnswer: -2*b*(b - 1)*(4*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/19)\/c*(c*c\/c**(-2\/59))\/c assuming c is positive.\nAnswer: c**(156\/1121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 3310.\nAnswer: 69510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 4) in base 8?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -3*r + 1, -5 = -2*a + 2*r + 1 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2152331, 4304656, 6456971, 8609276?\n\"Answer: -5*j**2 + 2152340*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + (4 - 0))*-2. Let m(k) = -3*k + 2. Let a(z) = -3*z + 3. What is v*a(y) + 5*m(y)?\nAnswer: -3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-4 - 5) + -2 + 13 + (-5 - 2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/2, 0.178, 0.3321, -2\/9, 3\/14?\nAnswer: 0.3321","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 smaller than 32.15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 61 - 85. Let x be 8\/(-6)*6\/v. Which is the second biggest value? (a) x (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -2*v**3\/3 - 2*v**2 - 5*v. Suppose -3*f + 9 = -39. Calculate the lowest common multiple of f and j(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 182*u**2 - 5097*u + 5097*u.\nAnswer: -182*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9868704 is divided by 248.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 a factor of 2221332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 9324.006 nanograms?\nAnswer: 0.000000000009324006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 444 is divided by 112.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 5 - 2*r**5 + (r**2 + 0*r + 0*r)*(r**3 - 2 + 2) + 2*r**5 + r**5 + 0*r**5.\nAnswer: 2*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -4 in ascending order.\nAnswer: -5, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2))**(1\/5)\/((y\/(y*y\/(y*y**(-16)))*y)\/(y\/(y**(6\/11)\/y))) assuming y is positive.\nAnswer: y**(883\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 + 1.1. Let a = y + 0. Let x be (-1280)\/(-44) - (-12 + 4752\/363). What is the nearest to -0.1 in a, -0.3, x?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/3 - ((-14)\/(-12) - 1). Let z = 14352 + -14363. What is the biggest value in z, 9, j?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2776, -2779, -2782, -2785, -2788, -2791?\n\"Answer: -3*b - 2773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + q. Let x(k) be the first derivative of 5*k**4\/4 + 5*k**2 + 26. What is -10*a(o) + x(o)?\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -167885, -167968, -168047, -168122, -168193?\n\"Answer: 2*x**2 - 89*x - 167798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1130 and 56387.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26914003933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g - 4*g + 4*g)*(-2*g - 2 + 2) + 1 - g**2 - 1 + 3*g**2 - 3*g**2 - g**2 as r*g + l + f*g**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**2 - y - 4. Give s(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 61227*w**3 - 657052*w**2 wrt w.\nAnswer: 367362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 589 + 144. Which is smaller: 443 or v?\nAnswer: 443","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 64 - 25. What are the prime factors of j?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 324833 is divided by 227?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -4*y + 286 + 161, -5*l = -y + 107. Is y a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -8*q + 422. Let b(v) = -6*v + 420. Give 6*b(k) - 5*c(k).\nAnswer: 4*k + 410","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 8, 3\/13, -4\/3, 19\/5?\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4\/7, -2, -3\/4, 2\/5, 83?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 30763 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29486427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 5, 32, -5, 1, 3 in ascending order.\nAnswer: -5, 1, 3, 5, 25, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*z**4 + 237*z**6 + 78 + 11*z**2 - 2529*z**3 - 2528*z**3 + 5057*z**3 wrt z.\nAnswer: 28440*z**3 - 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 474*w - 476*w + 14*c + 146 = 0, -5*w = -c - 25 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 410*f - 764. Let p be m(2). Put p, 6, 2 in increasing order.\nAnswer: 2, 6, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.2 and 330367.\nAnswer: -396440.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**5 + 799254*g**4 - 159700939872*g**3 - 319405076768*g**2.\nAnswer: -g**2*(g - 399628)**2*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/2, 0.5, -2, 7.2?\nAnswer: 7.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.22 - 0.32. Let t = -3.5229 - 1.4771. What is the second biggest value in q, t, 1.29?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15.3506 + -5.3506. Let g be -1*4*(-20)\/16. Suppose 2 = -y - 4*n - 0, g*y + n = -10. Which is the nearest to y? (a) 0.4 (b) z (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12343 (base 7) to base 8.\nAnswer: -6301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -15 + (0 + -9 - -25)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0080226325 to six decimal places.\nAnswer: -0.008023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69694920 and 540?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 823 + -820. Suppose -c = -2*c. Suppose f + n = 53, c*n + 194 = d*f - 4*n. List the prime factors of f.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.58 - -0.52. Let x = m - 2.4. Let z = -0.47 + 0.27. What is the nearest to z in -2, -3\/2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of -2*f**3\/3 + 235*f**2 - 932*f - 3922. Factor r(w).\nAnswer: -2*(w - 233)*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p + 0*p - 59950 - 5*p.\nAnswer: -4*p - 59950","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 4*g**2 + 26*g - 1. Let t be p(-7). Suppose -j - 1 = 0, 2*r - 8*j = -t*j + 9. Which is the nearest to r? (a) -2 (b) -3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g - 2*g + 5*g**2 + g + (1 - 1 - 2)*(-g**2 - 3*g**2 + 5*g**2).\nAnswer: 3*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-4)*1856\/23200\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 112 and 213784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83357 is divided by 16529.\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 4*d**2 - 7*d - 22. Let s be v(-4). Let t be (-2)\/20*-5 - s\/(-4). Solve -y + t*k - 5 = -1, 2*k = 4*y - 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + 8. Let d be 4\/((400\/15)\/(-20)). Put d, 2, t, -4 in descending order.\nAnswer: t, 2, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 43 = -77. Let t be 148\/a + (-25)\/5. Factor -12\/5 - 3\/5*z**2 - t*z.\nAnswer: -3*(z + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7124.814 centimeters?\nAnswer: 71.24814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(6\/(-3)))\/(-3)*1026\/(-228)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 216 and 240?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 6:30 PM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -254*o = -247*o - 7 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -12*l**2. Let n(s) = 1077*s - 569*s + 1 - 535*s - 1. Give n(b(k)).\nAnswer: 324*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9541, -32448, -70637, -124114, -192885, -276956?\nAnswer: -376333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2747 - 4344. Is -1598 at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9619, 9349, 8899, 8263, 7435, 6409, 5179, 3739?\nAnswer: 2083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n - 5*n + 305. Let g be 7\/((-350)\/170)*18\/(-1). Let z = n - g. Which is the second biggest value? (a) -1\/4 (b) 2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*z = 143*z - 2939 - 695 - 682 for z.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - 3*n + 0*n)*(9 - 7*n - 9) + (14 - 14 - 161*n)*(0 + 2*n + 0).\nAnswer: -301*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 94\/11369505 and 103\/8610.\nAnswer: 22739010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from owquidwoidwidwiwwuww. Give prob of picking 1 i and 2 d.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 2*n = -196. Find the second derivative of -10 + n*r - 32*r**2 + 10 wrt r.\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -191 - -323. Does 66 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(19) + -1 + -5)**2 - ((sqrt(19) - 1*sqrt(171)) + 1 + sqrt(931))**2.\nAnswer: -408 - 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71315465.\nAnswer: 5, 13, 37, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12685\/3 + -4230. Let h(y) = y - 4. Let u be h(5). Which is the closest to 0.1? (a) -4 (b) u (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 100*r + 1239. Calculate the remainder when 4287 is divided by m(-12).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5765563*u**3 + 1451102 with respect to u.\nAnswer: 17296689*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 187*x - 7091. Let f be l(38). Let b = 48 - 40. Solve -11*d + b = -f*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 916588590 to the nearest integer?\nAnswer: 30275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3255 * 0.3\nAnswer: -976.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*n = -243*n - 428*n - 309*n - 21792 for n.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-8) + (-386)\/(-8). Suppose -4*b + j = -5*h, b - 2*b + 3*h + 12 = 0. Solve 2*a = -2*g - 16, -2*g - b = 3*a + 9 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53951, 54245, 54553, 54881, 55235, 55621?\nAnswer: 56045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 538, 3995, 13066, 30457, 58874, 101023, 159610, 237341?\nAnswer: 336922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.7899 + -0.2101. Let m = 21 - 17. What is the closest to -2\/3 in -3\/8, m, o?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 13, b: 5}. What is prob of sequence bii?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 572 and 2836119?\nAnswer: 11344476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 3*o - 5, -12 = 6*x + 8*o - 11*o for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/((-120)\/(-9)) + (-1)\/(-4). Which is the second smallest value? (a) 2\/5 (b) 6\/29 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 828 - 297. Suppose -z = -3*v + 822, -8*v + 6*v = 5*z - f. Is v a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l + 4669 - 4669 - 5*l + 6*l. Let q = -6 - -11. Determine r(q).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1105 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -185, -734, -1649, -2930, -4577?\n\"Answer: -183*p**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -76 bigger than -110?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*u**5 - 1399258*u**4 - 139039*u - 9 wrt u?\nAnswer: -80*u**3 - 16791096*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*g + 8. Suppose -2*h = 2*h - 12. Suppose -2*t = -g - h. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2\/147 + -316\/1617. What is the closest to 0.2 in 0.2, c, 0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 614872009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of 2*f**2 + 77 + 2*f**2 - 19 - 5*f**2. Let n(z) = z - 6*z**2 - z. Calculate l(n(y)).\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/4)\/(7770\/(-10360) + (-38)\/(-16))\nAnswer: -20\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 7*k**5 + 3*k + 2. Let t(c) = -36*c**5 - 14*c - 11. Let u(a) = -22*h(a) - 4*t(a). What is the second derivative of u(n) wrt n?\nAnswer: -200*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*a = 144. Suppose -a*d + 2*v = -45*d - 1748, -v = 4*d - 2316. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3156 is divided by 79?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 - 4 + 4)*(1987 + 1382 - 1079).\nAnswer: 2290*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 4045?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.27 + -27.16682.\nAnswer: -27.43682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 33*s - 145 = -57*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (5 - 5) + -1 + 1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*j + 15*j + 20*j)*(3*j - 3*j - j).\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v - 1544731 = 1521269. What is v rounded to the nearest 10000?\nAnswer: -440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66109?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 3 + 18 = -2*u, -4*u + 25 = j. Let c = -7 + j. What is the units digit of (-2 + -2)*1\/c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 23 = -4*l - 49, 7*o - 2*o + 31 = -3*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56\/192)\/((-23275)\/1995).\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2939*k + 2939*k + 2*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1388 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 114011897 by 2.\nAnswer: 114011897\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 6. Suppose -w = -g*w + 245. Calculate the greatest common factor of w and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/2 + (8 - 5). Let u(l) = 0*l**2 + a*l + l**2 - 3 + 1 - 6. Give u(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1903752.\nAnswer: 2, 3, 137, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 3*c - 15, 5*t + 7*c = 2*c. Let a be 9\/(-3)*(-4)\/t. Let f = 16\/3 + -5. Put a, f, 1 in decreasing order.\nAnswer: a, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g**2\/4 - 308433*g\/4 - 848221 = 0. Calculate g.\nAnswer: -11, 308444","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 15\/4 of a meter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -9. Let q be ((-55)\/(-44))\/(f\/4). Which is bigger: q or 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 567386.9mm to centimeters.\nAnswer: 56738.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7442 + -65?\nAnswer: -7527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -57\/77 + 44628\/60599. Is f greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 5*w**2 - 169*w**3 + 170*w**3 + 3*w**2 - 8*w - 2*w. Does 12 divide g(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150 = -117*h + 84 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + h - 20 = 0. Let s(t) = -t**2 + 5*t + 10. Calculate the lowest common multiple of h and s(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 840 and 2587080?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 195750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 i when two letters picked without replacement from {i: 1, u: 4, f: 9}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1752914843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 0) + 1 - (12 + -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 14*o**2 + 20*o + 85. Does 21 divide h(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -2.2. Let w(c) = -c**3 + 9*c**2 - 7*c - 6. Let l be w(8). Suppose l*k + 4 = k. What is the smallest value in k, j, -1\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 7:24 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 1:16 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -154 - -88021?\nAnswer: 87867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.63 - 1.63006784. What is h rounded to 6 decimal places?\nAnswer: -0.000068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 7, 2661.\nAnswer: 2, 7, 2661","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11880093*b - 26174002.\nAnswer: -11880093","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**4 + 18949*f**2 + 3556*f - 1?\nAnswer: 24*f**2 + 37898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**2 - 3*i - 3. Let n be p(-2). Let z(w) = -w + 14. Let u be z(n). Suppose -u*q = -4*q - 7. Is -7 not equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-6 - (-35)\/10)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -2\/4870163?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2583 = 42*s - 1323. What is the remainder when 385 is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1103663 (base 7) to base 14.\nAnswer: 376da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 4*n**2 + 13*n. Let d(l) = 4*l + 0*l**3 - 717 + 2*l + l**3 + 2*l - 6*l**2 + 708. Let b be d(5). Give w(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*p + 268*p - 3955 = -1227 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 11*n**3 + 6*n**2 - 9*n + 5. Let l(q) = -44*q**3 - 26*q**2 + 36*q - 23. Give 2*l(m) + 9*u(m).\nAnswer: 11*m**3 + 2*m**2 - 9*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 6:27 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10142.3 rounded to the nearest 100?\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 401*t**2*x**2 - 1260*t**2 + 512472*t*x**2 wrt t?\nAnswer: 802*x**2 - 2520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1737?\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - -1)\/4*4. Let y = k - 1. Suppose -14*d + 15*d = -y. Let v(a) = a**2 + 2*a + 1. Calculate v(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-10 + 9 + (-1 - 1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {q: 1, z: 1, h: 2, c: 1, a: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 4 = -f. Suppose 4*t - f = 3*t. Calculate the highest common factor of 5 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence chgc when four letters picked without replacement from {c: 1, g: 2, h: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 31550447531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -47, -1 in decreasing order.\nAnswer: 3, -1, -4, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1361 divided by -1719.\nAnswer: 1361\/1719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-166)\/(-18) - 9 - (-4)\/9.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - (91\/(-14))\/(3\/168174). Let g be -7*v\/117 - 4\/(-26). What is g rounded to the nearest 1000?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39154723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 34.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -2 + -4 + (1 - 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7340730, -7340783, -7340834, -7340883, -7340930, -7340975?\n\"Answer: z**2 - 56*z - 7340675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 12 = -0*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 10:49 PM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, t: 5, y: 2}. What is prob of picking 1 i and 1 t?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o - 18. Let l = -225 + 408. Let s = 175 - l. Determine v(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10823*i + 14108 wrt i.\nAnswer: -10823","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (20\/60)\/(((-1)\/1)\/(-3)). Suppose 5*q - 4 = a. What is the smallest common multiple of 10 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -81*d - 980. Let r(i) = -16*i. Determine -p(v) + 5*r(v).\nAnswer: v + 980","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z + 1. Let g(d) = 21. Let v(a) = g(a) + w(a). Let r be v(-12). Solve -x = x - r for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10694338\/25 + 427704. Let j = -348\/5 - r. Suppose 5*u - 10 = -2*g, 2*g - 7 = -2*u - 3. Which is greater: g or j?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8037693371\/1185 + 6782864. Let l = d + 1\/237. What is the nearest to 0 in l, 2\/15, -0.3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 893.1477 litres in millilitres?\nAnswer: 893147.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 1:39 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i**3 - 7*i**3 + 3*i**3 + (3*i**2 + i**2 - 2*i**2)*(i + 0*i - 4*i) to r + n*i**3 + h*i + t*i**2 and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**2\/5 - 63717*p\/5 + 15660378\/5 = 0. What is p?\nAnswer: -21482, 243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + 1. Suppose -l*i - 6 = -21. Solve -x - 2 = -i*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 4:19 AM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 51216132 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(192\/168))\/((-1)\/(-2)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 4*y. Let m = 10 - y. Calculate the least common multiple of (-30)\/(2 + (-14)\/4) and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uur when three letters picked without replacement from {z: 2, u: 2, o: 4, r: 4, j: 1, e: 1}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(13) + 1 + sqrt(13) + -5 + (sqrt(13) + (sqrt(52)\/sqrt(4))**2 - sqrt(13)).\nAnswer: 5 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001 - -11010?\nAnswer: 110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 6. Let t = x + -3. What is the units digit of (1 + t)\/(1\/3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z. Let r = 16 - 11. Let o be s(r). Suppose 5*y = 2*d + 14, 2*y - 4 = -d - 2. Sort d, -4, o in increasing order.\nAnswer: -4, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1872 - 2038 = -17*u. What is the greatest common factor of 2438 and u?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13 times -57?\nAnswer: -7.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3 - 4099*q**2 + 194520*q - 1417932.\nAnswer: -(q - 38)*(q - 9)*(q + 4146)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from {v: 2, c: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66, -55, -34, -3, 38, 89?\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -7*m**3 + 57*m**2 - 10*m + 14. Let x be k(8). Let g(b) = b**2. Calculate g(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 2*l**2 - l - 2000. Let c be b(0). What is c rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3))\/((-1)\/(-12)*-3)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of t**2 - 98. Let z(m) = m - 1. Let p(h) = 37*h - 3. Let s(n) = p(n) - 2*z(n). Calculate s(c(w)).\nAnswer: 70*w - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 77 = -2*k - 97, 0 = 3*k - 4*b - 20 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 352036 - -2?\nAnswer: 352040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.037 - -0.00696924?\nAnswer: 0.04396924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(-2\/7)\/p))**(-29)*(p**(-1))**16)\/(p**4\/(p**(4\/3)\/p)*(p*p**(4\/5)*p*p)\/(p\/((p*p*p*p**(-6)*p*p)\/p*p))) assuming p is positive.\nAnswer: p**(-9214\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*j**4 - 252*j**3 - 91865*j wrt j.\nAnswer: 216*j**2 - 1512*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -17, -802, -3 in decreasing order.\nAnswer: 1, -3, -17, -802","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*y**5*z**3 - 39*y**2*z**3 + 10*y*z**3 + y*z - 2*z**2 wrt y?\nAnswer: -120*y**3*z**3 - 78*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 933, -1, 25, 4 in descending order.\nAnswer: 933, 25, 4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-21)\/(-35) + (-18)\/30. Let d(v) = 6*v. Let b be d(1). Suppose 2*j - 49 = -x, p = -b*j + j + x + 133. Is 8 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5412555 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -235 - -17302?\nAnswer: 17045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and 6.91427.\nAnswer: 9.91427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -644*s**2. Let u(f) = 8*f**2. Calculate j(u(r)).\nAnswer: -41216*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/6*(-48)\/84?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**4 + 2311*r - 4629*r - 11*r**3 + 7*r**3 + 2315*r - 1 - 72*r**2 to the form i*r**4 + y*r**3 + d + u*r + s*r**2 and give s.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 6:34 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 26 = 4. Solve -2 = -5*t + s*a + 2, 0 = 2*t - 4*a + 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of -13*p**6\/30 + 4*p**3 + 23*p. Find the second derivative of n(c) wrt c.\nAnswer: -156*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 735\/(-343)*(-1)\/5\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-6))**9 assuming y is positive.\nAnswer: y**(-54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 7*d - 5*n + 25, -13 = -5*d + 4*n. Solve -5*j = 15 + d for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 1906794*y + 409. Let n(q) = -q. Determine f(n(t)).\nAnswer: -1906794*t + 409","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -120 - -4729. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 7*t**2 - 10*t - 7. Let o be d(-8). Suppose -o*s + 4*s - 4*m + 89 = 0, 43 = 3*s + 5*m. Let f = 46 - s. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + 19*v - 16. Let g be b(18). Suppose -g*j + 12 = 4*j. Suppose -j = -o - o. Solve 2*w + o = -1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3161 and 96998446.\nAnswer: 3161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-14)*(-22 + 19) - (-110)\/322?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - (0 + 53)\/(12\/(-36)). Let w = -154 + h. Solve 9 = -2*n + 4*s - 3, 4*n - w*s - 1 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 65 - 64.53. Let s = -0.531 + a. Let x = -5.239 + s. What is x rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*s - 28*s + 60. Let k be s\/6 - (-10)\/2. Determine g, given that 3*g**2 - 3\/2*g + k - 3\/2*g**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -93, -196, -305, -420, -541?\nAnswer: -668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 11345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 302 (b) -4 (c) -0.8 (d) -507\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 6*b**2 + 6*b - 7. Let i(l) = 2*l**3 + 12*l**2 + 13*l - 15. Let j(z) = 13*c(z) - 6*i(z). Give j(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i + 1. Let x(u) = 41*u + 2. Let j(a) = -6*d(a) + x(a). Let k be j(4). Calculate the highest common divisor of 17 and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 68*d**2 - 14*d + 7. Is o(20) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*b - 63 - 33 = 0, b = -a - 78. Suppose 631 = 5*h - 2*f, -h + 123 = -f - f. Let k = h + a. Is 17 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*q - 2*w, 5*q + 4*w = -14 - 23. Let r = 4 - 3.8. Sort r, 2\/5, q in descending order.\nAnswer: 2\/5, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 8, u: 6, x: 3}. What is prob of sequence nnxu?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 less than -0.7424?\nAnswer: -63.7424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16882 and 4861649?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 - 20. Which is the biggest value? (a) y (b) -1 (c) -5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -234 - 245 + 953 + 951*f - 237 - 237.\nAnswer: 951*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gtggpppt. What is prob of picking 2 t?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 6*l. Let y(s) = -5*s. Let h(m) = 4*q(m) + 5*y(m). Let f(r) = 30*r + 134*r - 23*r + 13*r. Give h(f(w)).\nAnswer: -154*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -3\/341, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8109400 rounded to the nearest 10000?\nAnswer: -8110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 579*v - 309*v - 10530 for v.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + a**2 + a + 28. Is 4 a factor of h(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 o when three letters picked without replacement from wnnnowwn.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(-5 - 109*l + 109*l - 13*l**2).\nAnswer: -13*l**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 1:26 PM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 0*q + 5*q)*(-12*q**3 + 16*q**3 - 7*q**3) + q**4 + 2*q**4 - q**4.\nAnswer: -4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 + -2. Let f = 29 + o. Let n be (2 + 3\/(-2))*f. Solve 3*p = n*c + 2 + 2, -5*p - 24 = c for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 70\/(-16583)*-16 + (-4)\/46. Sort -0.3, 0.2, m.\nAnswer: -0.3, m, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m + 7. Suppose 36 = 2*v - 0*z - z, -17 = -v + z. Suppose f + i = 5*i - 3, 5*f = 3*i + v. Let u be r(f). Solve 0 = -u*w - 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*h - 6. Suppose 10 = h*n - 3*t, 5*n + 6*t - 3*t = 25. What is the second smallest value in n, -1\/2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 - 9 = 9*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 0*a - 20330 = 0. What is the common denominator of a\/(-171) - (-2)\/(-9) and 53\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215242 is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3+-70\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 977819?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*t = 2058*t + 56700 for t.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64 - 181 - 68*z + 55 + 62.\nAnswer: -68*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 140 and 379526.\nAnswer: 3795260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2183 divided by 59\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1506.00002894 - 1506. What is z rounded to six dps?\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.3 - -4.5. What is the second smallest value in i, -2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u\/(u\/(u\/u**(-2))*u))\/u*u*u)*u**(-4\/7))**(3\/11)*u**(-4\/7)*u*u*u**(4\/5)*u**(-2\/11)\/u*(u**7\/u*u)\/u assuming u is positive.\nAnswer: u**(349\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29808 + -2089. Calculate the remainder when h is divided by 198.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, s: 1, m: 1, g: 5, a: 1}. Give prob of sequence gs.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*l + 16*l - 167*l - 133*l.\nAnswer: -340*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -201031420?\nAnswer: -201031411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -155 - -153 - (-2 - (0 - 1) - -5)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 6*t**3 - 18*t**2 + 52*t - 237. Is 208 a factor of u(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 174*c + 8181. Let g be p(-47). What is the nearest to -5\/2 in -12, -2, g, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*i - 8034 + 213. Suppose 4*o = -2*u + 1414, i = 5*o - 4*u - 931. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 4. Let f be (q - 1)\/(5\/(-10)). Suppose 1 = 4*w + 4*p - 11, 0 = -f*w - p + 11. Solve w = -4*h - r, 3*h - 5*r + 27 = -2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m - 8. Let f be p(-5). Suppose -2*x = -x - 2. Let z be x\/(-6) - 28\/6. Sort -2, z, f in increasing order.\nAnswer: z, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1945417 divided by -6.\nAnswer: -1945417\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 56747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7618 is divided by 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in nineteen quarters of a hour?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 78795358 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 v when three letters picked without replacement from srrrrjjkzrrrvjvvzv?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**0)\/p)**(-14)\/(p**2\/p)**(-8) assuming p is positive.\nAnswer: p**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/2256 and 143\/4512?\nAnswer: 4512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 644, 648, 654, 662, 672?\nAnswer: 684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z - 3. Let l = -25 - -33. Let c(a) = 9*a - 8. Determine l*m(t) - 3*c(t).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11 + 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.9 - 3.1. Let h = -13.9 - 111.1. Let x = h - -125.3. Sort b, 0.4, -2, x in ascending order.\nAnswer: b, -2, x, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/128*-4*(180 - 188). Which is the closest to 4? (a) i (b) -65 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1906093 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -169409, -338749, -508089, -677429, -846769, -1016109?\nAnswer: -1185449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 57104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -488 - d2a?\nAnswer: -13b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 103 + -58. Let c be ((-18)\/(-8))\/(1\/4). Calculate the highest common divisor of i and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 300 and 76.\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 12) to base 5\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5 = -6. What is the tens digit of (-227)\/t - (5 - 7 - -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + -2*(sqrt(700) + -2) + sqrt(700))**2*-1 + -5.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of 0*a - 1\/24*a**4 + 1\/2*a**3 + a**2 + 0. Let x(i) = 2 - 5 + 2. Determine 2*t(y) + 5*x(y).\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/3 - 716*i**2\/3 - 42205*i + 42444.\nAnswer: -(i - 1)*(i + 324)*(i + 393)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*g - 65 = 0. Does 13 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25754\/527957 - (-14)\/1394?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 times -1.024\nAnswer: 0.8192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -173\/600 and -57\/1600.\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*u + 5 - 50*u**2 + 138*u**2 - 46*u**2 - 44*u**2 to the form c + d*u + i*u**2 and give d.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1625 and 625.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-65)\/(-52))\/(-2*(-1)\/8). Suppose b*u = -u + 15684. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70486?\nAnswer: 2, 13, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -89*z + 61. Does 4 divide w(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1234.1 - -1234. Which is the smallest value? (a) t (b) 2.3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 3:06 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 375923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 0 + (46 - 79)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 9. Let a = z - -11. Let g(r) = 5*r**3 - r**2 - 2*r + 1. What are the prime factors of g(a)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 8*t**2 + 8*t + 12. Let w be d(9). Solve 3*g + w*y = 6, -y + 5 = -4*g + 8 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*3*(-8)\/840.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -y**5\/20 + 5*y**4\/6 + 11*y**3\/6 - y**2\/2 + 52*y - 108. Let p(t) be the first derivative of u(t). Calculate p(11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 2:30 PM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6671998?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**1*x)\/x)\/x)\/x*(x**(-5)\/x)\/x*x\/(x*x*((x**(-4)\/x)\/x)\/x)*x**(-1\/5)*(x**(1\/2))**(-7)\/(x**(4\/5)*x*x**(-4)*x*x) assuming x is positive.\nAnswer: x**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 694 = 7*w + 4*m, w - 312 = -5*m. Suppose 470 = f - w. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 925622886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.51 + -1.6. Let n = x - -0.05. Is 2\/3 < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 340304 (base 5) to base 14.\nAnswer: 44dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*z - 31*z - 4*h = -112, -5*h = 5*z + 265. Let f be 7\/3*z\/(-21). Let k(i) = 4*i - 6. Let q(m) = -9*m + 13. What is f*q(c) + 14*k(c)?\nAnswer: 2*c - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6*(-2)\/3)\/(-2). Solve h*n = 6*n - 16 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1222444 + -1222440.999996. Let j = -3 + l. Round j to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/88)\/(20\/5870) - 2\/(32\/(-6)).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggy when three letters picked without replacement from mgmgmymmikgmgmgk.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -274*r**2 - 278*r**2 - 273*r**2 + 830*r**2.\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -226246738 or -226246737?\nAnswer: -226246738","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of 4*b**3\/3 - 43. Let t(x) = -5*x**2. Determine t(k(z)).\nAnswer: -80*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -7ddeeb (base 15) in base 5?\nAnswer: -3020132441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -155\/3034752 and 47\/1517376.\nAnswer: 3034752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of 17*t**5\/4 + 13*t**4 + 25*t. What is the third derivative of x(f) wrt f?\nAnswer: 510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -84642.51 to the nearest 1000.\nAnswer: -85000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -5*o**3 + 10*o - 58. Let x(q) = q**3 - 2*q + 11. Let f(z) = 2*k(z) + 11*x(z). Determine f(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51927894 to the nearest integer?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -7 (c) 0.04 (d) -0.2 (e) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -266*g - 5560. Calculate s(-21).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 4 - (-3 - (-3 + -3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvjvvvvvvvvjvvvvv. Give prob of sequence vv.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -318189000 to the nearest 1000000.\nAnswer: -318000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*(2\/13 + 54\/156). Which is greater: -2\/171 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -131 - -165. Solve -15 = -z*w + 31*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 6)*((0*u**2 - 3*u**2 + 2*u**2)*(-4*u**3 + 5*u**3 - 3*u**3) + 5*u**5 - 2*u**5 + u**5).\nAnswer: -36*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - 25*g + 40. Let w be m(-24). Calculate the greatest common factor of 80 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 56 = -4*j - 9*w - 21, -4*w - 22 = -2*j for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 2905?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*f**2 + 10 - 2*f - 10)*(-1123 + 1123 + 51*f).\nAnswer: 816*f**3 - 102*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 265775212 to the power of 1\/5, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -120474\/469 or -256?\nAnswer: -256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 = f - 3*x, -21*f - 2*x = -23*f + 222. Solve -45*o + f = -30*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010101 - 101111100100001110?\nAnswer: -101111100010111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -331*z - 2553 = 255*z - 517*z for z.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gy when two letters picked without replacement from yrkgwrrzrkzk?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 6*c + 2. Suppose 0 = i - 0 - 1. Let g(u) = -u. Let h = -4 + 9. Suppose -14 - 6 = -h*l. What is i*q(j) + l*g(j)?\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.59, 1, 0.3, -1\/199, 0.2 in decreasing order.\nAnswer: 1, 0.59, 0.3, 0.2, -1\/199, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 > 191075?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence efll when four letters picked without replacement from {f: 1, l: 2, c: 1, e: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = t - 6 - 10, t + 20 = -5*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 2*k + 20 = 5*c + k - 10 - 10, -238*c + 4*k = -1646 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.318 - 1.\nAnswer: 6.318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14939431 to the nearest integer?\nAnswer: 3865","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -67*a**2 + 112*a - 90. What is the first derivative of o(q) wrt q?\nAnswer: -134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1072365337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s - 2. Suppose i - 2*g = -0*i + 3, -3*g - 15 = 2*i. What is k(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.262505 centimeters in nanometers?\nAnswer: 52625050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1494, -1500, -1506, -1512?\nAnswer: -1518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -88811 or -355245\/4?\nAnswer: -355245\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*y = -35*y. Suppose -3*m + 4*b + 65 = -y*m, -b - 65 = -4*m. Solve -2 = -5*q - a, 4*q - 4*a - m = q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, h: 1, x: 1, v: 2, z: 1, i: 7}. Give prob of sequence gvz.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 6*s - 7. Suppose -2*h - 2*l = 10, -2*h - 3 = -2*l + 7. Calculate d(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 42, 52, 48, 18, -50, -168, -348?\n\"Answer: -2*k**3 + 5*k**2 + 9*k + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -9.2 and 4619 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -2 (c) -1.05 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*j + 19 = 0, -5*s - 5*j + 6*j = 1. Is ((-28 - s)\/(-1))\/(24\/32) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 g when two letters picked without replacement from rrssgsnnnrrgrhssrgr.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -3*v - 20, -4*u + 5*v = -0*v - 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 6690853062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -4731*(-15)\/225 - ((-9)\/15 + 0) is divided by 20\/(-6)*2*-3.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-902*t + 1267*t - 3060*t + 1 - 3462*t)*(-2*t + 3*t + t)*(-t**2 + 2*t**2 + t**2) as u*t**4 + n*t**3 + m + b*t + w*t**2 and give u.\nAnswer: -24628","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 11*k**2 - 1. Let n(z) = -11*z**2 + 1. Let x(a) = -7*n(a) - 6*v(a). Let t = -11660 - -11686. What is the smallest common multiple of t and x(-1)?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 28\/(-35)*45\/162. Let p = -0.9 + 0.5. Suppose x + 2 = -0*x. What is the closest to x in z, p, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 265256436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 12 = -4*y, -5*d + 3*y = 13 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g + 634270 = 634120 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1696 or 1695?\nAnswer: 1696","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 22, 18, 12, 4, -6?\n\"Answer: -c**2 - c + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + (-31576)\/(-28) - 4\/(-14). Suppose k = 2*w + 319, -4*k = -4*w - v - 147. What are the prime factors of k?\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, s: 1, p: 3, t: 6}. Give prob of sequence tpus.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-645) + (-754)\/430.\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -51*h**3 + 860 - 6*h**3 - 40*h + 71*h**3 wrt h?\nAnswer: 42*h**2 - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 + 0)*(-5 + 5 - 1)*(-4 - 4 + 1)*(0*c - 5*c - 37 + 19) to q*c + x and give x.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 539527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-2)*(-70)\/7. Let r = 56 + -56. What is the closest to r in -4, -1\/4, u?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 6588*d**2 + 17*d - 14. Let m(z) = 4393*z**2 + 12*z - 10. Determine 7*m(p) - 5*t(p).\nAnswer: -2189*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -541*m**2 - 20555*m + 122. Give a(-38).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -9 - 138846816\nAnswer: -138846825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 10*n + 264. Give b(-26).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r\/r**(2\/9)*r)\/r**(-2\/19)*r**5\/r**15 assuming r is positive.\nAnswer: r**(-1046\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/1*4\/(-8). Suppose 100 = 5*z + 5*q, -z + q + 10 = -0*q. Suppose u*m - 34 = -5*i + 7, z = 3*i. Solve m*x = 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 242.80287 to zero decimal places.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**3 - 6*w**2 + 4*w - 4. Let j be q(-4). Let b(y) = 2 - y**2 + j*y - 11*y + 6*y**2 - y**3. Determine b(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 1 = -7. Suppose -3*v + r*v = -3*n + 113, -n + 3*v = -27. Suppose 2*p - n = -p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.8 + 0.2. Let l = 1.9 + -1.2. Is l != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -548062 divided by -548062.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7838*a**4\/3 - 3247*a**3.\nAnswer: -a**3*(7838*a + 9741)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-2))\/((-1)\/(-68)). Let i = 5 - o. Calculate the greatest common factor of 26 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/152 and 49?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*q = 91*q - 132 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 121 + -2645\/22. Calculate the common denominator of q and 53\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -a**8\/112 + a**4\/4 + 6*a**2. What is the second derivative of n(t) wrt t?\nAnswer: -60*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 52\/5 of a litre?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5*(-3)\/(30\/(-8)). Suppose -k - 288 = -5*n, -v*n + 2*n - 813 = 3*k. Let x = -124 - k. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + ((-4)\/(48\/(-27)) - 72\/(-96)). Sort -2, u, -143.\nAnswer: -143, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 316 + -319. Sort -5, f, -33.\nAnswer: -33, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 3471561?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 13.606 and 5?\nAnswer: 8.606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6813\/2 + 3409. Determine z so that s*z**2 - 5\/2*z**3 + 5\/2*z - 5\/2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 284530, 1138083, 2560672, 4552297, 7112958, 10242655?\n\"Answer: 284518*u**2 - u + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -19481, 1 in descending order.\nAnswer: 1, -4, -19481","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -434*x**4 + 1 - 6*x**3 - 419*x**4 + x + x**2 + 816*x**4 as t*x**2 + r*x**4 + b + i*x + f*x**3 and give r.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 10. Let c = 5 - 3. Suppose c*g + 65 = 2*r + 3*g, q = -5*r + 2*g + 140. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 - -2) + 2 + 0. Which is bigger: 1\/7 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 7 = -3784*k + 3785*k, 3*h + 11 = 4*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -126 (base 7) to base 14.\nAnswer: -4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of p**4\/4 - 3*p**3 + 1. Let z be t(9). Suppose z + 3 = 3*x. Let a(d) = 2*d**2 + d. Calculate a(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14752, -29819, -44880, -59941, -75008, -90087, -105184, -120305?\n\"Answer: -s**3 + 9*s**2 - 15087*s + 327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26845 or 95?\nAnswer: 26845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-163620)\/1595295 + (-4520)\/39?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -13*a + 68. Solve -a*n - 4*c = -2*n + 20, -3*c = 4*n + 25 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 812381*k**3 + 812318*k**3 - 1624693*k**3.\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 0.1221985 weeks?\nAnswer: 0.8553895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4645?\nAnswer: 5, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120021020202 + 221112?\nAnswer: 120022012021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*t - 43*t - 135. Let u be (5\/t)\/((-4)\/6). Let p = -2\/81 - 73\/324. What is the biggest value in 2\/19, u, p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2\/7, -7, -3 in increasing order.\nAnswer: -7, -3, -2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.03942 take away 52499898?\nAnswer: -52499901.03942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(0 + 1) + 33\/(-126). Let x = q - -1\/84. Let r be 2 - ((-34)\/14)\/(-1). Which is the closest to x? (a) r (b) 4 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + 0. Let t = n + 0. Suppose 1 + t = h. Calculate the remainder when h is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m. Suppose 3*h = 2*h. Let i(a) = -2 - 1 + h*a**2 + 3*a + a**2. Let w(u) = -u**2 - 2*u + 2. Let p(g) = -2*i(g) - 3*w(g). Calculate q(p(s)).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13101 is divided by 437.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 335090946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 b when three letters picked without replacement from ezlnebr?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/69024 and -43\/237270.\nAnswer: 3796320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*i**4 + 39*i**4 - 14*i**4 + (-5*i**4 - 4*i**4 + 25*i**4)*(3 - 2 + 0).\nAnswer: 59*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/9 (b) 4 (c) -2 (d) -0.23 (e) -365\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p + 3*p + 25*p to the form l*p + f and give l.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 149*c**3*l**3*m - 231*c**3*l**3 + 4*c**3*m - c**3 + 15*c*l**2*m + 44*c*l**2 wrt l?\nAnswer: 894*c**3*m - 1386*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4*n**2 - n. Let q be o(1). Suppose -q*u + 32 = u. Calculate the remainder when 23 is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 10*k**2 + 2*k - 8. Is 12 a factor of v(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 4*z + 5. Let k be y(0). Suppose 0 = -k*m - 4*u - 24 + 5, 0 = 5*u + 5. Let t be 1\/m*(-225)\/10. Is t less than 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 11:53 AM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2302486?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q = -2 - 34. Suppose 2*r - 8 = -2*z, -2*r = 3*r. Solve -k - 2 = 3*w, -q*w = -z*k + 24 - 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - r**2 + 2 - 6 - 2*r)*(2*r**2 - 6*r**2 + 2*r**2).\nAnswer: 2*r**4 + 4*r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 343619\/10 + (13\/(-208))\/(10\/(-16))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**3 - 3*k**2 + 4*k + 4. Let t be g(4). Suppose -t = -2*y + 16. Suppose -y + 23 = -w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3631*m**2 + 12949094*m - 12949094*m.\nAnswer: 3631*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three eighths of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 5*x - 2. Calculate w(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -510 by 6.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2636 and 202313?\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5 = 115. Let d = 190 + p. Suppose 4*f + 0*f - d = 0. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -1556, -6, 7, 8, -1 in decreasing order.\nAnswer: 8, 7, 3, -1, -5, -6, -1556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 27 - 25 + 2 + r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**3 + 5*f**2 + 6*f + 8. Is o(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 927650.2 litres in millilitres?\nAnswer: 927650200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2*o + 4 = 3*k, -2*k + 12 = -3*o. Suppose 4*l + 7*x - 2*x = 21, k = -5*l + 2*x + 51. Calculate the remainder when 34 is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*f + 2508 + 768 = 0. Let u(l) = -l**2 - 26*l + 33. What is u(f)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g + 1. Determine x(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -159.66 and 330.\nAnswer: -52687.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, -1, -35, -107, -229, -413, -671?\nAnswer: -1015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2606.\nAnswer: 2, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v**2 + 34*v**3 + 5*v**2.\nAnswer: 34*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.12 + -3.02. Let l = v - -6.9. Let j be (-2)\/3*3\/9. Which is the smallest value? (a) 1\/3 (b) l (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -400 (base 6) to base 2\nAnswer: -10010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.6, -0.22, 3?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13 + 255?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 200 (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -395454.92 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 2*u = -3*f - 11, 2*u - 13 = -f. Let p(k) = k**2 - 2*k - 3. Let a be p(5). Solve 0 = f*i - 6*i + a for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 14*f. Let y(w) = -11*w. Let o(j) = -3*r(j) - 4*y(j). Let k(m) = 49*m. What is k(o(h))?\nAnswer: 98*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, i: 2, a: 5}. Give prob of sequence ziza.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -15, -11, 1\/56?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-555)\/222)\/(26\/(-8) + 2). Find the second derivative of 6*k**h + 20*k**2 - 139*k + 377*k + 10*k**2 wrt k.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78157.72t to grams.\nAnswer: 78157720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 1. Let g be -1 - (0 - v)*-1. Let n be (-1)\/(-4) + 21\/(-36). Which is greater: n or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 215*f + 217*f + 814*f - 1465*f + 218*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1297758 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/24 - (-8)\/(-32)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3419940?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212210020101200 (base 3) to base 13.\nAnswer: 2807a90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 3*p - 2*p = 22, -5*t + 28 = p. Is 86 + t\/(-3) + 1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1815\/52 + 457\/13. Let x(o) be the first derivative of -1\/6*o**3 - k*o**2 + 0*o - 5. Let x(w) = 0. Calculate w.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 5*h = 120, -4*n - 8*h + 108 = -6*h. Solve 5*k = 9*g - 6*g + n, -3*g - 14 = -2*k for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00060582 rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**2 - 4*c - 8. List the prime factors of k(5).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 100396 and 22457?\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 109148 or 109150?\nAnswer: 109150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 615*f - 5. Let o be a(6). Suppose c - 5715 = o. What is c rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/35 + ((-340)\/150)\/(-2*2\/(-84))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (12 - 3) - (-7 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-17)\/(-8) - -2*1*-1. Let f = -26 - -24. Let u = 15 - 59\/4. Which is the closest to 0.1? (a) g (b) u (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = -7*c + 17 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.99 - -0.01. Let r = 563\/55 - 106\/11. Sort g, 1.1, r in descending order.\nAnswer: g, 1.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 9:34 PM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27283 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -3223?\nAnswer: 16115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**2 + 3*i**2 - 4*i**2)*(4*i - 3*i + i) + 10*i**3 - 7*i**3 + 6*i**3 + (i - 7 + 7)*(0*i**2 + 0*i**2 + i**2).\nAnswer: 14*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 + 712\/72)\/1.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3044357, 3044355, 3044353, 3044351, 3044349, 3044347?\nAnswer: 3044345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(-3) + (-8)\/3 + 21\/14. Factor -s*z**3 + 0 - 5\/2*z - 3*z**2.\nAnswer: -z*(z + 1)*(z + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 149632416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 921089690 a multiple of 298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3100.005765 + -3100. What is t rounded to four dps?\nAnswer: 0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 13*w + 22. What is a(-9)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/8 or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 t when two letters picked without replacement from tfkhtkhhhkyythfht.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4344 divided by -2?\nAnswer: 2172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.025 - -6091?\nAnswer: 6090.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -199894 (base 10) to base 6.\nAnswer: -4141234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 299790123 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 981 a factor of 466696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2\/7*j**4 - 6\/7*j**2 + 100\/7 - 2*j**3 + 110\/7*j = 0?\nAnswer: -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51748983 and 286?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -m**5\/20 + 5*m**4\/6 + 13*m**3\/6 - 8*m**2 + 261*m. Determine x(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1974 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 15*t + 504 = 0. Let q be 90 + t - (5\/1 + 0). Calculate the highest common factor of 9 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 - -0.1. Let d = 261.9 - 262. Which is the closest to d? (a) 0.3 (b) v (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6816 and 1439040?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39 + -38.67. Let a = l - 0.03. Let i = -0.4 + a. Is i at least as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 632880 and 116028?\nAnswer: 6961680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 115?\nAnswer: -11a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -269, -1002, -2217, -3908, -6069, -8694, -11777, -15312?\n\"Answer: o**3 - 247*o**2 + o - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**2 + 18*x - 14. Let z be h(8). Suppose -5*i + 18 = z*q - 3*q, -4*i - 4*q = 0. Let c be i*1\/((-15)\/(-25)). Sort 4, c, -1 in ascending order.\nAnswer: -1, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -4, 5, 16, 29, 44?\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 131 + -121. Solve 5*l = -4*c + i, 4*c - c - 5*l = -10 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227814 a multiple of 188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 230161847561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - -8 - 5 - 41\/(-6))*9?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -901478\/3 less than or equal to -300494?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x. Let b be f(3). Let n(p) be the second derivative of -p**5\/20 + p**4\/3 - p**3\/6 - p**2 + 8*p. Calculate n(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28*9\/(-53676)*-6?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of 0*a**3 + a**2 + 0 - 1\/8*a**4 + 0*a. Let l(q) be the second derivative of q**3\/3 - q. Calculate l(r(p)).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 37224252*p - 23320335?\nAnswer: 37224252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + 1. Let k = 35 + -18. Suppose k + 7 = f*y. Solve -y*m = o + 22, 8*m = 2*o + 3*m - 21 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 260165.3 * -6.7.\nAnswer: -1743107.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.797 - -0.297. Sort 0, -5, -6, t.\nAnswer: -6, -5, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -4. Let c be (3 + -1)*(-2)\/(-4). Is c equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5409 + -6081.4. Let u = k + 673. Sort u, -0.1, 2\/3 in descending order.\nAnswer: 2\/3, u, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o**2 - 2*o + 1. Let r be i(-3). Find the first derivative of 70 + 5*h**2 - r - 17*h**2 wrt h.\nAnswer: -24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7808 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**2 + 4*r**2 + 147*r**3 + 118*r**3.\nAnswer: 265*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*j - 3*y - 15 = 0, 0 = 4*j - 4*y - 20. Suppose 2*g - 13 + 3 = j. Solve g = -3*h + 2*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**2 + 75*r**3 - 75*r**3 - 2 + 20*r**3 + 2*r to the form x*r + v + j*r**3 + s*r**2 and give j.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -33 at most -35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b + 6034*b**2 + 0*b - 5942*b**2 as c*b**2 + i + r*b and give c.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39123 and 2692683?\nAnswer: 1701","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) + sqrt(102) + sqrt(102)*2*5)\/((sqrt(18)\/sqrt(3) + sqrt(6))*-1)*-1.\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 s when two letters picked without replacement from {y: 2, m: 5, b: 4, s: 1, e: 1, f: 7}?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 225322905*f*r + 65031261*f wrt r.\nAnswer: 225322905*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 5*g + 605 = 0, -113 = 5*w - 4*w - 3*g. Suppose -5*m - 4 = -2*x, -4*x + 5*x = -3*m - 9. Is (m\/2 + 0)*w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**2 + 2*y + 4. Suppose 9*z - 20 - 16 = 0. Suppose k + 23 = z*h + h, 0 = 4*k - 4*h + 28. Give p(k).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u - 2*u + 3*u - 5 + (-4*u + u + 9*u)*(-1 - 2 + 0) as c + o*u and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -4*k + 17, 2 = 3*k - 4*g - 14. Let h = 11 + -8. Let u(m) = m. Let b be u(h). Solve -b*o = -o - k for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29550 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/(-6)*(-14)\/(-21). Suppose -g + 8 = 2*w, -2*w + 6 + 2 = -5*g. Suppose g + a = l. Solve f - l + 3 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 + (-11616)\/(-1287))\/(2\/12).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -8, -5, 0.5, 5\/8?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-1)\/4 - (-88)\/(-608)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 6*h**2. Let r(z) = -13*z**2 + 4*z**2 + 3*z**2 + 9*z**2. Determine u(r(o)).\nAnswer: 54*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 296 + -1 - (-14 - -8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -38 + 1ab5601?\nAnswer: 1ab55b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 12*t**2 + t + 1. What is the remainder when -1*(-113 + 4) + 192 + -194 is divided by i(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 4)*(2 + m**2 - 2) + (857 - 857 + 227*m)*(4*m - 4*m - 3*m).\nAnswer: -680*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (39 - 0)*((-157248)\/1183)\/144\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 549124 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 + 5*g**2 + 4. Suppose 7 = h + 2. Suppose 4*w - 46 = -38. Suppose a = w*a + h. Determine q(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2*h + 20 = 0, 3*h = -4*o - 2*h - 17. Calculate the highest common divisor of o and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**2 + 4*a**2 + 6*a**2 as y*a + d*a**2 + x and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) - (sqrt(14) - sqrt(28)\/sqrt(2)))\/sqrt(2) + -3.\nAnswer: -3 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 - 41. Let n(b) = -b**2 + b + 2. What is the least common multiple of n(0) and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66653 by -4.\nAnswer: -66653\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -74.116 + 0.116. Let l = 73.9929 + s. What is l rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/4)\/(38\/152)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 141 = -7*h + 2*h, -2*u + h + 81 = 0. Calculate the highest common divisor of u and 377.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6.96 in -1\/39, -11, 2.6?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 15*f**2 + 2*f - 1. Let i be d(-3). Suppose -3*n + i = 29. Let x = -31 - -49. Calculate the remainder when n is divided by x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 1014420 = 28*x. Round x to the nearest 1000.\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53 * 5\nAnswer: -265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -13, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - -3)*(-3)\/(-6). Suppose -4*w + 532 = -g*w. Suppose -3*q + w = 2*r, q + 5*r + 95 = 3*q. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 879332893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -c**3\/3 + 6*c**2 - 7*c - 180. What is g(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16.37 + -0.37. Let h = -16 + x. Suppose -156 = 88*z - 114*z. Which is the nearest to 2\/7? (a) 1\/10 (b) h (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/(-3*sqrt(8)) - sqrt(325)*-2) + -5.\nAnswer: -5 + 29*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4435 and 22415.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 4*r + 2*r + 13, -4*u - 4 = -2*r. What is the least common multiple of 12 and (27\/81)\/(u\/90)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/9 + 6\/(-18) - -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/25 and -2\/111325.\nAnswer: 111325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 7:32 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 0.4, -4, 0.21?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-1) - 66\/11. Let t(c) = 2*c**2 - 281 + 8*c - 276 + 562. Give t(r).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 9*s**3 - s**2 + 3*s - 1. Let n be j(1). Let b = 82 + -43. Let k = n + b. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 333422301304 - 1?\nAnswer: 333422301303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75 + -23 + 13 - 71?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -359 at most -356?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.26 - 0.01. Let z = b + 0.05. Let n = 1 - 3. Put z, -4\/5, n in ascending order.\nAnswer: n, -4\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 27 - 123 = 0. Solve 16 = -4*q, 0 = 2*z + q - 5*q - v for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -3*t**5\/5 + 3*t**4\/4 - 2*t**3\/3 + 6*t**2 + 23. Find the third derivative of l(v) wrt v.\nAnswer: -72*v + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + q - 105 = -3*d, 0 = -q - 4*d + 38. Calculate the greatest common divisor of 12 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4356639 = -60*w + 21828639. Round w to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.7 - 0.3. Let y be -13*(6 - 0)\/((-10)\/(-10)). Let h be y\/18 - (-5 - 0). What is the biggest value in h, 0, -4, k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -201 + 221. Let t = j + -18. Solve -t*y - y + 40 = -5*m, -10 = -2*y for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 119172 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**4 + o - 1. Let r(x) = -x + 1. Let p(h) = 8*h - 7. Let j(z) = p(z) + 2*r(z). Let s(y) = j(y) - 5*q(y). Find the second derivative of s(n) wrt n.\nAnswer: 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/2, -193, 55.81?\nAnswer: 55.81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 2115.425 millimeters?\nAnswer: 211.5425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -36*f**3 - 288*f**2 - 69*f - 584. Give k(-8).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 j when two letters picked without replacement from {u: 7, s: 3, p: 1, j: 5}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -29*t**2 - t + 1. Let s be r(1). Let w = 21 - s. Calculate the highest common factor of w and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + (1 + sqrt(272))*4 - (sqrt(272)*3 + sqrt(272) + sqrt(272) + -5))**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 5*l**3 - 2*l**2 - 6*l + 6. Let m(a) be the second derivative of -a**5\/5 + a**4\/6 + 5*a**3\/6 - 5*a**2\/2 + 1735*a. What is -6*m(f) - 5*w(f)?\nAnswer: -f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-376)\/2)\/(-1) + 1. Suppose -y - 9 = -3*x. Is x a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 15 + 0 = 0. Suppose -4*x = -5*o + 34 + n, 5*x = -4*o - 18. Let d be 3\/(27\/x)*-6. Solve -6 + 18 = d*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28906 is divided by 9623?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 5*u + 2. Let d be n(5). Let l be d*1*20\/(-8). Let v = -89163 - -89161. What is the nearest to -1 in v, -3\/7, l?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 16) to base 6.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i + 2*i - 3*i)*(8 - 21 - 47)*(-3*i - i + i) to u + g*i + v*i**2 and give v.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (3*(sqrt(9)\/(sqrt(9)\/sqrt(3)) + 1)*-5 - ((sqrt(300)*2 + 3 + sqrt(300) - (0 + sqrt(300))*5) + 0)))**2.\nAnswer: -170*sqrt(3) + 364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 287005.\nAnswer: 5, 61, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*0.2.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000006024 rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*-2*(-1)\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.9171 - -0.0829. What is the third smallest value in o, -1\/58, -1\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -716 (c) -4 (d) 1.53\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 347565671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1789870 to the nearest 100000.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*r + 105*r = -11. Let v(d) = -d + 13. Let b be v(r). Let y = 2 + -1. Solve -b*m + 3 + y = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 14*m - 59. What is w(-9)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, m: 3}. What is prob of picking 2 n?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 i when four letters picked without replacement from xxxiixxixixixiiiixii?\nAnswer: 99\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/110 greater than or equal to -30\/101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1425)*2)\/(sqrt(3)*-1*1).\nAnswer: -10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**3\/17 + 14113950*z**2\/17 = 0.\nAnswer: 0, 7056975","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 8\/63*(-28)\/(-48)\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*o - 1 = -m, 2*o = -3*m + 20. Solve -3*i = 3*t, 3*i - 15 = m*t - 4*t for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 9*p + 8. What are the prime factors of 223 - ((0 - -3)*p)\/(-3)?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.08 (b) -5 (c) -2\/11 (d) -5\/4 (e) 245 (f) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -21319 and -21319 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 831 (b) -1 (c) 245 (d) -5 (e) -0.2 (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 3*x - 18 = 43, 0 = 2*p - 4*x - 14. Suppose 3*q = -p + 1. Suppose 5*f - 4*j + 2 = 0, -5*j - 1 + 22 = 3*f. Sort f, q, -1 in decreasing order.\nAnswer: f, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 13*f**2 - 5*f + 7. Let b(g) be the third derivative of -g**5\/10 + g**4\/8 - 2*g**3\/3 + 3*g**2. Let o(v) = 5*b(v) + 3*i(v). Is o(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 42 = 2*v. Let b = v - 40. Solve b*r = 9 + 1 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {s: 3, o: 5}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41.6 - 43.34. Let j = v - -1.33. Is -0.02 at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 47*c. Let p(d) = -110*d. Let r(n) = -3*p(n) - 7*u(n). Suppose 3*o - 8*o = -20. Let f(w) = -4*w - 19*w**2 + o*w. Determine f(r(m)).\nAnswer: -19*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 5*g + 6, -g = -w + 5*w - 2. Put -72, 2, g in decreasing order.\nAnswer: 2, g, -72","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-1 - 3 - -5) - 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 2\/23, 0.1, -0.3, -95, 4105.4?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(3\/22)*i*i*i\/i**(3\/7)*i*i*(i**(-8))**33 assuming i is positive.\nAnswer: i**(-39777\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10006 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-7))\/(54\/(-252)). Sort a, -5, 6, 15 in decreasing order.\nAnswer: 15, 6, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((0 - -27 - 28)\/23)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-42)\/(-2) - (5 + 1 + -1). Let l = -13 + t. Solve l*j + 21 = -4*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/7)\/(17\/119)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -24. Let c(j) = j**3 - 7*j**2 + 4*j + 2. Give c(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 240443241?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3 = -2*f - 2, -f = 3. Calculate the remainder when 213 is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1436470 to the power of 1\/3, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3 - 23*j**2 + 49*j - 25.\nAnswer: -(j - 1)**2*(j + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2914 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -17 - 25 + 40 + 17*x + 6*x. Let b be v(1). Put b, 5, 0, -4 in decreasing order.\nAnswer: b, 5, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 7*p - 27. Let d be o(5). Suppose 0*x = x - 8. Let m(a) = a**3 - 9*a**2 + 9*a - 8. Let s be m(x). Solve s*r + d = 4*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*2 - (3 - 24). Let r be (-12)\/(-24) - g\/(-2). Calculate the greatest common divisor of 20 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {b: 4, t: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fgwnhnssssnnhfsng. What is prob of sequence fgf?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7610472, -7610474, -7610476, -7610478?\nAnswer: -7610480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 876?\nAnswer: 4380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 a factor of 2532121063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**3 + 42*d**3 + 5*d**3.\nAnswer: 45*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -27112 at most -26350?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*sqrt(153) + (-3*(2*sqrt(153) + sqrt(153)) - sqrt(153)) + sqrt(153))\/(sqrt(9) + sqrt(225)*2 + (sqrt(90) + 2*sqrt(90))\/sqrt(10)).\nAnswer: -15*sqrt(17)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4567498 less than 1.4?\nAnswer: -4567496.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40888.\nAnswer: 2, 19, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23381452.\nAnswer: 2, 503, 11621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 167?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69151193?\nAnswer: 167, 547, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 2:35 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*h. Let o = h - -2. Suppose -b + 4*m = -15, -18 = -b - 3*b + o*m. Solve 2*s - 14 = -4*r - 6, -6 = -b*r for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110030 + 10?\nAnswer: -110020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2351 - -2371. Solve -v = -r - 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 2)\/(4\/(-362)). Suppose -4*h - 112 = -3*d, h + 0*h - t = -4*d. What is the remainder when d is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -156 + 161. Let p = -7 - -20. Which is the closest to 0? (a) 0.2 (b) z (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*n - 62 = 0. Suppose 4*b - n = -5*g, 0*g = g + 5*b - 23. Determine w, given that 2\/7*w - 2\/7*w**g + 2\/7*w**4 - 2\/7*w**2 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -1, 1022, 14, -5.\nAnswer: -5, -1, 14, 15, 1022","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -23. Let y = 4 - m. Let o be -1*(-1)\/((-1)\/(-3)). Solve -o = -3*l + 6*l, -3*l = 5*x - y for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -5*t + 5, b - 2*b + 2*t = -11. Solve 5*m = -p + b, 3*m - p - 3 = -0*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 607181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-20)\/(-4))\/(-50))\/((-295)\/(-126850))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2638 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 0 = 4*f. Suppose -f*y + o = 14, -5*o + 22 = 3*y - 5*y. Let m(h) = -4*h - 9. What are the prime factors of m(y)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8118 is divided by 302?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z + 11 = 11*z. Is -9 at most as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + 6*b + 2. Let w be g(6). Solve -w*k - 2 = 4 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 5*v + 25 = -a, -5*a - 3*v + 34 = 0. Solve -a*s - 25 = -x, -23 = 2*s + 16*x - 19*x for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 136\/(-10) - (-68)\/(-170). Is (0 + -2 - -21783) + (-56)\/g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/21)\/(r\/(r*r**(-7\/8)*r*r)))**(1\/14) assuming r is positive.\nAnswer: r**(205\/2352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -78*h - 3*h**2 + 90*h + 13*h**2 - 47 + 71. What is the units digit of t(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 114?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -32, 5, -1, 30 in decreasing order.\nAnswer: 30, 5, -1, -2, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(0 - 1) + -2. Let i = 8 + -6. Sort -1, i, o in decreasing order.\nAnswer: i, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000904 rounded to 5 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, z: 1, t: 1, u: 1, x: 1, b: 2}. What is prob of sequence xb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c + 8. Let x be p(8). Determine w so that x*w + 2\/11*w**2 + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -651, -717, -739, -645, -363, 179, 1053?\nAnswer: 2331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (24 - -2)*(-1)\/2. Let v = -3 - -7. Let q = v - a. Calculate the remainder when 49 is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -113.1562623 - -5157?\nAnswer: 5043.8437377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 68467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -189171 + -0.2?\nAnswer: -189171.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.7795 and 5.\nAnswer: -3.8975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6194 or 49559\/8?\nAnswer: 6194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 73635 or 73638?\nAnswer: 73635","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wg when two letters picked without replacement from {w: 9, y: 3, g: 5, m: 1}.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 10*n**2 + 30*n + 12. Let p(x) = 7*x**2 + 20*x + 8. Let h(z) = 5*g(z) - 7*p(z). Let k be h(-6). Let o = k + 32. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h - h + h)*(3 + h - 3)*(2 - 2 - 4*h).\nAnswer: -20*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/25*5)\/(5\/50*35\/(-49))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -54 - -54. Suppose 3 = 3*i, -4 = 4*b - 4*i - f. Suppose h = -2*m - 121399999, 4*m - 4*h = -b*m - 242800004. What is m rounded to the nearest 1000000?\nAnswer: -61000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.02 - 0.71. Let y = 0.26 - x. Let p = -2.33 - y. What is p rounded to one dp?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*m - 37*m + 11 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -122 * -7823.58\nAnswer: 954476.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 9 = -3*b. Let l = b - 2. Let a = 0 + 1. What is the lowest common multiple of a and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11093, 11212, 11333, 11462, 11605?\nAnswer: 11768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1828084 to two decimal places.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 389 + 163 = 46*r. Suppose 18*i + 342 = r*i. Sort -1, 4, i in ascending order.\nAnswer: i, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 4*g - 2. Let d(j) = -j + 1. Let x(s) = -2*d(s) - p(s). Let i(w) = -10*w. Give x(i(b)).\nAnswer: 20*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 233593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1273 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16788844*s**2*z**2 - 35*s**2*z + 99885*z wrt z?\nAnswer: 33577688*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*m + 5. Suppose 0*o - 40 = -5*o - 5*v, 5*v - 13 = 4*o. What is the second derivative of 2*t**3 + t + m*t**3 - 3*t**o wrt t?\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17.957 and -4496?\nAnswer: 80734.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 12*d - 14*d - 304, 4*b + 4*d = 328. Suppose 8*m + 18*m = b. Solve 2*j = -3*x + 9, -3*j - m*x + 0 = -6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/198 and 107\/8817678.\nAnswer: 96994458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -5*j**2 + 3 + 3*j**2 - j**2 - 3*j. Let d(m) = m**2 + m - 1. Calculate 4*d(o) + r(o).\nAnswer: o**2 + o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-666)\/10)\/(27\/(-180)). Suppose 4*g + 3*a + a = k, -12 = -4*a. What is the highest common factor of 96 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-18)*x*(x\/(x**(-2\/17)\/x))\/x)\/((x\/(x*x**(-2\/3)))\/(x\/((x\/(x*(x*x\/(x\/x**7)*x)\/x))\/x))) assuming x is positive.\nAnswer: x**(-334\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -197716 - -3?\nAnswer: -197713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.34 and 0.56?\nAnswer: 2.4304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31755 + 23901 = -1546*w for w.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211*c = 2*q - 214*c - 7, 3*c - 3 = -3*q. Suppose 1\/5*r**q + 6 + 17\/5*r = 0. What is r?\nAnswer: -15, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 612 - 608. List the prime factors of 5\/5*6 - u - -1167.\nAnswer: 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 5*x - 9 - 0, -3*x = -15. Let a be 0\/(2*4\/n). Suppose -4*k + 137 = -r, 4*r + 7 + 13 = a. Is 11 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31.3 - 30. Let s(h) = -3*h - 5. Let c be s(-2). Which is smaller: c or b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/165*(-6 + (1 - 0))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -66\/161 + 16\/23. Let d = -0.3 - -0.1. Let j = -0.3 - d. Which is greater: j or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 74*z + 404. What is m(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c + 11. Let q be o(-14). Let v be -8 - ((-3 - -3) + q). Let k = 15 + v. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 3*o - 5*z, -4*o - z - 3 + 7 = 0. Suppose -5*m + 0*m = -40. Let b be m\/6 + 10\/(-30). Sort -5, o, b, -2.\nAnswer: -5, -2, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(136)*2)\/sqrt(8) + (-2*sqrt(136) - sqrt(136))\/sqrt(8) - ((sqrt(136) - sqrt(136)*-3*5)\/sqrt(8))**2).\nAnswer: -4351 - sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + (4\/2)\/(-1). Let d = -0.11418 + 0.01418. What is the closest to -1 in -2\/9, m, d?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 5*r + 63504, -4842 = 3*r - 4860. Is v a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -204, -205, -206?\nAnswer: -207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1 - -391 - 20\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + k**2 + 4*k + 4. Let m be d(-3). Suppose f = 44*v - 49*v + 144, f = v - 30. Which is smaller: m or v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81651 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 - 38 + 13*h)*(2 - 2 + 2*h**2).\nAnswer: 26*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -556.\nAnswer: 3\/278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-22)*-6*3\/(-9))\/(114\/152)?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-three fifths of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11021100221 (base 3) to base 12\nAnswer: 40807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 843.\nAnswer: 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 20 - 11 - 16\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-1\/2))**35 assuming w is positive.\nAnswer: w**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -304*d + 10556562 = 10591826 for d.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 216.2242 meters to kilometers.\nAnswer: 0.2162242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2 + c + c + 2*c - c**2 - 2. Let o(k) = -k**2 + k - 1. Let v(j) = -5*o(j) + r(j). List the prime factors of v(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 11 = -f, 32 = 5*f + 5*h + 7. Let b(j) = 2 - 20*j - 56*j - f + 1. Let p(l) = -4*l. What is b(p(u))?\nAnswer: 304*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31722 + 31722. Solve j = -2296*s + 2283*s - 65 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6050 = 33*i + 6182 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-41)\/(-30) + (-4)\/(-30). Let h = -338 - -499. Let d = h + -809\/5. What is the biggest value in -6, d, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88 and 418?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t**2 - 236*t - 3090. Determine f(-16).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*q**4 - 401*q**2 - 179*q**5 - 21*q**4 - 897*q**2 wrt q.\nAnswer: -10740*q**2 - 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 413 (base 7) in base 15?\nAnswer: db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 25 + 17. Let v = -20 + o. Calculate the remainder when v is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2004 a factor of 276730356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is ((513 - -41)\/(1*-2))\/((-2)\/106) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a**2 + a - 8. Suppose m - 5*f = 12, 3*m + 4*f = f - 18. What is the remainder when 187 is divided by j(m)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -1. Let x be 1*(0 - -2) - p. Suppose 9 = 2*b - r, x*r + 2 = 3*r. Round b to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2271 and 262679?\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3991010642.\nAnswer: 2, 1995505321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -869 - 75 + 2*r**2 - 3*r**2.\nAnswer: -r**2 - 944","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10836 and 4867170?\nAnswer: 29203020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -6 - (0 - 8) - 14 - 46\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4020?\nAnswer: 2, 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a42fd1 - -2?\nAnswer: a42fd3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4119 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3124*b - 72093 = 62239 for b.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -326*l**2*s**3 - 36933*l**2*s**2 + 668786*s**3 + 23*s wrt l?\nAnswer: -652*l*s**3 - 73866*l*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (4 - (-2 - -3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28506077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of -b**7\/4410 - b**6\/1260 + 7*b**4\/24 + 38*b**2. Let y(u) be the second derivative of k(u). Find w such that y(w) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q = -27*q + 7*q - 3*k + 78, -5*q = -17*k + 4 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.5, 2\/3, 1\/7, 0.122, 383?\nAnswer: 0.122","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 12 = 0, t - 26 + 1 = -3*h. Solve -4*a + 2*d = h*d + 37, 17 = -4*a - d for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of -1\/10*v**5 + 0*v + 2*v**2 + 0*v**4 + 0*v**3 + 0. Let u(l) = -2*l. Give u(i(n)).\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and 0.6001177?\nAnswer: -3.6007062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8 (b) -11\/13 (c) -1\/4 (d) -1125\/7 (e) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2266371209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3682385?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, s: 3}. Give prob of sequence ssh.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2 + 4707*d + 4710.\nAnswer: -3*(d - 1570)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4b + -1c6?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + d - 8 = 0, -3*h + 3*d + 20 = 2*h. Let b be (6\/(-3))\/h*-10. Suppose -3*w + 4*w + 9 = 3*f, -b*w - 2*f = 11. What is the biggest value in -1\/6, 0, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 1:13 PM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -123*t + 127*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 2\/5 (b) -2\/21 (c) 0.7 (d) -1\/56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19079, 75913, 170605, 303161, 473587, 681889, 928073, 1212145?\nAnswer: 1534111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 226, 16, -50 in decreasing order.\nAnswer: 226, 16, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.05 and -739?\nAnswer: 739.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2 + 1925666*w.\nAnswer: 2*w*(w + 962833)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5 = -3*o - 40, -5*i = 4*o + 45. Let a = o - -5. Suppose a = -2*b + 311 - 85. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3\/7 - 3195*k**2\/7 + 456*k.\nAnswer: 3*k*(k - 1064)*(k - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2404 is divided by 56.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 + 131 = 6*r + 50 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -168, -169, -172, -177, -184, -193?\nAnswer: -204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ac2d - -7d?\nAnswer: -abb0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7960 - 1041 = 17*b. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 54, 0, -6, -10 in descending order.\nAnswer: 54, 1, 0, -3, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -414.19 and -4.\nAnswer: 1656.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 196*i + 1171. Let s be d(-6). Put 2, 57, s, -4 in ascending order.\nAnswer: s, -4, 2, 57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 148?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*r**3\/3 + 2146*r**2\/3 - 84*r = 0. What is r?\nAnswer: 0, 2\/17, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3611139 and 9807?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4188 is divided by 61?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 752*i - 523365. Calculate h(696).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**5 - c**4 + c**2 - c + 1. Let t(l) = 9*l**5 + 11*l**4 - 7*l**3 - 27*l**2 - 10*l - 10. Let m(i) = 6*f(i) + t(i). Factor m(u).\nAnswer: (u - 2)*(u + 1)**3*(3*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*v + 13*v + 2*v**2 + 16*v - 53*v.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 17382 + 1.4379?\nAnswer: 17383.4379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 3*l - 3, 0 = -2*k + k - 4*l + 9. Find the common denominator of -33\/16 and 4 + (-108)\/56 - k\/(-3).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 17.56646cm?\nAnswer: 0.1756646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8056 - 4108?\nAnswer: -12164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 165 + -110. Suppose 4*s = -s - i. Let z = 23 + s. Does 4 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36*q*t*u**3 - 3*q*t - 699914*q*u - 273*t*u**3 + u**3 wrt t.\nAnswer: 36*q*u**3 - 3*q - 273*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 + (18 + 1 - 32) + 1?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 1:35 AM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -23 (b) 2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*q - 5, -2*q + 2291 = 5*t. Suppose -1013 = -3*j - 2*b, 212 = 2*j - 5*b - t. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12196*a = 12285*a + 534 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lvl when three letters picked without replacement from {l: 1, f: 5, v: 6, o: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n + 12. Let k(c) = c + 13. Let f(h) = 7*i(h) - 6*k(h). Let d be f(-4). Let t = 4 + d. Solve 0 = t*p - p - 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3352.03589 to zero decimal places.\nAnswer: 3352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a decade in months?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2601789 to four decimal places.\nAnswer: 0.2602","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -90*b - 527 - 2353 for b.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-74 + 0)*5\/10. Suppose 0 = 3*d + 829 - 721. Which is smaller: i or d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 12*y**2 - 13*y + 12. Let v be z(-13). Let p be 236\/v + (-4)\/(-3). Let u = p + 38. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -293 divided by -1\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 330370157?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 988, 1074, 1218, 1420, 1680?\n\"Answer: 29*w**2 - w + 960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 16763.6 from 77.\nAnswer: -16686.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 2*m = -10. What is the first derivative of c**m - 1 + 0*c**2 + c**2 wrt c?\nAnswer: 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3561, 6571, 9581, 12591, 15601, 18611?\nAnswer: 21621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 326692 to the nearest integer?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -3*o**5\/7 + 24*o**4\/7 + 69*o**3\/7 - 90*o**2\/7 = 0.\nAnswer: -3, 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -3*c + 14, 2*c - f - 36 = 3*f. Is 6 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3327*c + 23149*c**3 - 23149*c**3 - 1589*c**4 wrt c?\nAnswer: -19068*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 384873614.\nAnswer: 2, 19, 10128253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or -3521?\nAnswer: -3521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -31*x**3 - 5*x**2 - 2*x - 2. Let l(b) = -59*b**3 - 10*b**2 - 4*b - 4. Determine 6*l(p) - 11*z(p).\nAnswer: -13*p**3 - 5*p**2 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -36889 and 1.\nAnswer: -36889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 1839*r**2 - 6*r + 2. Let h = -300 - -301. Is q(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103 - -20300011?\nAnswer: 20233302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/(s*s**11)*s*s*s**(-2\/9)*s*(s**5)**(3\/7) assuming s is positive.\nAnswer: s**(-320\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*u - 3*u + 2*u + 429*u + 411*u - 337*u + u + 4*u - 4*u - 2 + u + 2 - 5*u + 2*u + u + (-6*u + 3*u + u)*(1 + 0 + 1) - 4*u + 3*u - u - 3*u + 5*u + 0*u.\nAnswer: 490*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -95, -103, -115, -131, -151, -175?\n\"Answer: -2*q**2 - 2*q - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 25*(16\/10 - 2). What is the tens digit of 3\/(-3)*(h - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7998776, 15997578, 23996382, 31995188, 39993996, 47992806, 55991618?\n\"Answer: w**2 + 7998799*w - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 756576 divided by 5\nAnswer: 756576\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -11. Let v be 84\/20 - (2 - (-2 - 0)). What is the nearest to 2 in 0.5, p, v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 420191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 293414596*h*m - 308241834*h with respect to m.\nAnswer: 293414596*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -4*l**2 - 5*l - 5. Let r(a) = a**2 + a + 1. Suppose 5*x - 65 = 10. Let k = x + -10. Calculate k*r(i) + v(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of 14*z - 1\/80*z**5 + 0 + 2*z**2 - 1\/48*z**4 + 0*z**3 + 1\/420*z**7 + 1\/160*z**6. Factor a(l).\nAnswer: l*(l - 1)*(l + 2)*(2*l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -8*o + 7. Let q be h(13). Let p = q - -102. Solve -2*i - 15 = -p*f, -6 = -4*i - f - f for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 7*d**2 - 47*d + 288. Let u be m(5). What is v in 1\/4*v**u - v**2 + 3\/4*v + 0 = 0?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 1 = -5*y - 30, -k = -y - 3. Let v be y\/(0 + -3 + 2). Solve 0 = -v*a + 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8554*j**2 - 14*j**3 + 9 + 17089*j**2 - 8542*j**2.\nAnswer: -14*j**3 - 7*j**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**3 + 22*h**3 - 16*h**3.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sxsssxxdsddsd. Give prob of picking 2 d.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -164*r**2 - r + 1. Let g be n(1). Let j = -111505 - -111509. Sort -4, j, g in decreasing order.\nAnswer: j, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 2 + 12*f**4 - 2*f - 3*f**3 - 2 + 2*f**4 + 0 to the form a + w*f**4 + n*f**2 + o*f**3 + z*f and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*d - 16*d + 20*d = -171 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1134*i**5*y + 7*i**3*y**2 - i**3 + i**2*y - 236*i**2 + 47*i*y**2 wrt i?\nAnswer: -68040*i**2*y + 42*y**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 3*i + i**3)*(-4 + 5 - 3 + 3 - 2 + 2 + (3 + 0 - 4)*(0 + 1 + 1))*(1 + 0 + 0).\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -290735*u**2 - 51325?\nAnswer: -581470*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 297, 657, 1001, 1317, 1593?\n\"Answer: -2*l**3 + 4*l**2 + 362*l - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-4))\/(-1)*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 728242.\nAnswer: 2, 41, 83, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i + 7 - 8 + 1.\nAnswer: 9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1680 + -1676. Solve -5*j + 20 = f, -3*f - 2*f + y = j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - 1\/((-14)\/(-5904)). Let l = v + 417. Find the common denominator of (-93)\/4 - (-15 + 11) and l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2182 - -8787\/4. Let l = 15 - x. Let q = 0.3 + 0.1. What is the third smallest value in 0.3, q, l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-3))**(12\/7)\/(l*l**(6\/5)*l**15))**25 assuming l is positive.\nAnswer: l**(-3910\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35 or -55?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -64.93 - -64. Round d to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*u**2 + 53*u**2 + 185*u**2.\nAnswer: 263*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.084 and 40?\nAnswer: 3.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**3 - 17*y**2 + 3*y - 9. Let n(p) = -13*p - 1. What is the remainder when h(-9) is divided by n(-2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1316, 1319, 1322, 1325, 1328, 1331?\nAnswer: 1334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - b**2 + b + 2. Let d be y(0). Let o(z) = -5 + d*z - 2 + 2. What are the prime factors of o(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 9 = -2*x. Let t = 3.52 + -3.72. Which is the biggest value? (a) 2\/7 (b) x (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2314, 1, 4, 9, 5 in increasing order.\nAnswer: -5, 1, 4, 5, 9, 2314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 547435 and 875?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 110 = -14*s + 146, -s + 9 = -q. Suppose -3*p + 4*p = -4*f - 10, 0 = -5*p - 5*f - 5. Is s smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 934 = 9*i - 4*i + 3*r, 0 = -5*r + 15. Suppose -i*y - 110 = -190*y. Which is smaller: 25 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2749648.96 to the nearest 100000.\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.93242 weeks in hours?\nAnswer: 12924.64656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 103782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 3510371 and 3.\nAnswer: 3510374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 352*a + 7*a**3 - 203*a - 149*a.\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(((-8)\/48)\/((-1)\/(-16))).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2009910 and 4019820?\nAnswer: 4019820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 + 0.2. Let z = -2.9 + -1.1. Let b be (-2 - -4)*(-2)\/6. What is the closest to b in -0.4, m, z?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1444289 is divided by 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/8 (b) -3\/7 (c) 12 (d) 590\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 79474165 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -n**5\/30 - n**3\/6 - 2*n**2. Let z be f(3). Let j = -13 - z. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3170?\nAnswer: 2, 5, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - -6 - (-5 + -6). Let w = h + -10. Which is the third smallest value? (a) -2 (b) w (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 849\/469133 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 42*q - 1. Let i be p(-1). Let o = -30 - i. What is the remainder when o is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = f + 3*f. Find the second derivative of -46*i**2 - 2*i + f*i + 16 - 7 wrt i.\nAnswer: -92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -55, -74, -93, -112, -131?\nAnswer: -150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k + k + 4*k + 2*k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7150 greater than or equal to 7150?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 23 - 5 = 0. Calculate the remainder when (-218)\/o + 2\/3 is divided by 459\/36 - 2\/(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**2\/7 + 12*f\/7 + 12\/7 = 0. What is f?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -4, 0, 9.9, -0.4, 7743?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.181 or -2392?\nAnswer: 0.181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-6 - 1)) + -7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 482?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -3*n - b - 13, 17 = -4*n + b. Let x be n + 16\/5 - (-424)\/5. Suppose 0 = -6*i + x + 24. What is the lowest common multiple of 18 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w + 7. Let m(k) = 2*k + 6. Let d(h) = 5*m(h) - 4*n(h). Let a be d(1). What is the third derivative of 0 + a*j**4 + 9*j**4 + 0 + 13*j**2 wrt j?\nAnswer: 312*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oocm when four letters picked without replacement from tooooomocmoooomomom?\nAnswer: 55\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -95 + 96 - (35 + 2)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*k + 59*k + 9*k = -25*k + 1496 for k.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 22175?\nAnswer: 243925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 7*v + 10. Let o be k(8). Let -4*j**2 + o*j**2 + 128 + 67*j + 2*j**3 + 10*j**2 + 29*j = 0. What is j?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 54\/561901?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 233 - 237. Let p = 0.4 - -0.3. Let z = p - 0.7. Are r and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (5 + 2 + -4)) + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 1 + (-39 - -39)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29 and 464?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -281*a**3 + 9*a**2 - 18122*a wrt a?\nAnswer: -1686*a + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 22*p - 3. Let q be m(2). Let r = 44 - q. Suppose 5*k = 4*b - 1017, -4*k + 793 = r*b + 38. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**3 + 0*x**3 + 4*x**3 + 2*x**3 - 3*x + 3*x + (-x + x - 3*x)*(-19 + 19 + 24*x**2).\nAnswer: -69*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llqllppplplphqpphqlh. Give prob of picking 1 h and 1 q.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1964, -1959, -1954, -1949, -1944, -1939?\nAnswer: -1934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*c = 38*c + 16. What is the hundreds digit of 12 + c + (382 - -6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of -5*a**8\/84 + 11*a**7\/105 + a**5\/30 - 703*a**3\/3 - 834*a**2. What is the third derivative of m(k) wrt k?\nAnswer: -1200*k**2 + 528*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4262*y + 1061*y + 3196*y.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11507, -10936, -10403, -9908?\nAnswer: -9451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -3*b**2\/2 + 518. Let g(w) be the second derivative of -w**3\/3 + w. What is g(p(i))?\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*t - 6 = 121*t. Suppose -4*y + 5*y + 4*u = 109, 4*u = -t*y + 230. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 16*k**3 + 2*k**2 - k - 1. Suppose 0 = -3*b - 4*q + 25, 0 = 13*b - 14*b + 2*q - 5. Let w(h) = 16*h**3 + 3*h**2 - h - 1. What is b*z(s) - 2*w(s)?\nAnswer: 16*s**3 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2732 and -4?\nAnswer: -10928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*u - 65*u - 45 = 0. Suppose 0 = -5*r - 4 + u. Solve 26 - r = 5*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -31*g + 254. Suppose 10*f - 319 = -239. Let o be y(f). Is -4.4 smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -220*o*t**3 + 41*o*t**2 - 240*o + 96 wrt t.\nAnswer: -660*o*t**2 + 82*o*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 11*m + 405 = 0. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-54)\/105 + (-8)\/(-10). Which is the nearest to o? (a) -0.6 (b) 2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64315.\nAnswer: 5, 19, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -7\/2*k**2 - 7\/3*k**3 + 33 + 0*k. What is the second derivative of b(f) wrt f?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 w when three letters picked without replacement from {w: 1, g: 4, e: 2, a: 6}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 + 1 = -2*x. Let c be x + -1 + 3 + -3. Suppose 4*o - 3*f - 100 = -0*f, -o - 4*f = -c. Is o a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 a when three letters picked without replacement from {a: 17, m: 3}.\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1074.8 - 1075. What is the nearest to u in -3\/8, -5, 2\/35, -0.5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 753668689.\nAnswer: 19379, 38891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 26*y**2 - 9*y - 4. Let a(u) = -17*u**2 + 6*u + 3. Determine -7*a(k) - 5*p(k).\nAnswer: -11*k**2 + 3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1290 = -4225*t + 4096*t for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 5*x - 246, 3*c + 17 + 86 = 2*x. What is the remainder when 132\/33 + (1 - (-392)\/1) is divided by x?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -23*b**2. Let i(k) = 2*k. Give i(g(o)).\nAnswer: -46*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -929, -1781, -2633, -3485, -4337?\nAnswer: -5189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -38992704 divided by 298?\nAnswer: -130848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 11:07 AM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**2 + 8*n + 2789. List the prime factors of c(-69).\nAnswer: 11, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 12 + 16 = 0. Let r = 73 - v. Is 10 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (215 + -4 - 3)*1\/1 is divided by 54.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462.208 years in decades?\nAnswer: 46.2208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -50 + 563. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 5*d - 0*d. Let i be 1\/(2 + 0)*6. Suppose i*o - 2*o = 6. Calculate the highest common factor of o and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 5*x + 810 = 0, -11*x = f - 10*x - 156. Let c = 162 - f. Solve -y + 24 = -5*y - c*d, 12 = -3*d for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1770 by 3.\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 338 - 310. Suppose -b = -9*w - 1. Solve s + k = -3*s + 12, -w*s + 9 = -4*k for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n**4 + 460*n**3 + 7100*n**2 + 33440*n + 50880 = 0.\nAnswer: -6, -4, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 3, -1, -2, -3, -20 in decreasing order.\nAnswer: 14, 3, -1, -2, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -3*t. What is the derivative of t*q**4 - q**4 + 0 - 4 + 4*q**4 wrt q?\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4389.\nAnswer: 3, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/9 + (-4)\/(-18). Suppose y = -5*o + 45 - 10. Calculate the lowest common multiple of o and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*d + 35*d + 166 + 3*d - 17*d.\nAnswer: 31*d + 166","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*f - 4*l - 11*l + 0*l = 130, 2*f = -f + l + 19 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22825, 45437, 67839, 90031, 112013?\nAnswer: 133785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5089 is divided by 780.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4*g**2 + 3*g**2 - 3*g**2. Let u(h) = 4*h + 3. Let t(m) = -5*m - 4. Let y(z) = 3*t(z) + 4*u(z). What is y(q(r))?\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.167 + 39.231. Let r = w + -38. Let v = -0.035 + r. What is v rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 240*h**4 + 4*h + 5. Let q(j) = -720*j**4 - 11*j - 15. Let r(p) = -3*q(p) - 8*v(p). Find the second derivative of r(x) wrt x.\nAnswer: 2880*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of 2*y**2 + 106*y - 61. Let x be m(-26). Solve f = 6*u - u - 16, -x*f = 5*u - 13 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*1.18\nAnswer: 5.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 506 + 409. Suppose -4*l = -w + o, w + 3*l = 111 + 86. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m**2. Let b(k) = 4*k + 3. Let l(q) = 3*q + 2. Suppose u + 7 + 7 = -4*j, 5*u = 4*j + 2. Let g(w) = j*l(w) + 2*b(w). Determine n(g(h)).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 14 = 2*u. Suppose -u*b = 3*b - 847. Does 7 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-6)*(-63)\/(-14). Suppose 8*b - 40 = h*b. What is the smallest common multiple of 16 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 10*y + 8 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -13*a**2\/2 - 36*a - 21. What is the common denominator of k(-5) and -41\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15.8 + -15.9. Which is the closest to g? (a) 3 (b) 23 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p**3 + 6*p**3 - p**3)*(8217*p - 4121*p + 5 - 6866*p - 25749*p - 5) to t*p**3 + z*p + m*p**2 + a*p**4 + y and give a.\nAnswer: -85557","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of -o**5\/30 + o**2. Let x(h) be the second derivative of -2*h**3\/3 - 5*h**2\/2 + 192*h. Calculate d(x(p)).\nAnswer: -32*p**2 - 80*p - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 41 - 65. Suppose 496 = f*u + 472. Solve u = q + q - 2*j, 4*q + j = 13 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(392)\/(sqrt(7) - 1*(sqrt(448) - sqrt(7) - sqrt(7))))\/((sqrt(288) + (sqrt(288) - -3*sqrt(288)))*4).\nAnswer: -sqrt(7)\/600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -98948649*d**5 - 136587*d**2 - 2*d + 1097?\nAnswer: -5936918940*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112932669 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 65929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 k when two letters picked without replacement from okollk.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (357\/(-490) - -1) + -6 + 4 and 11\/16.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9\/10, -30, 1, -28, 3 in descending order.\nAnswer: 3, 1, -9\/10, -28, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6348 is divided by 87.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qkb when three letters picked without replacement from qkcebbebbkck.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 1:42 PM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 76\/1240101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f - 1. Suppose -2*u - 2*u = -20. Suppose 0 = -u*w + 8 + 7. Let m(y) = y - 1. Let i(x) = w*m(x) - 2*t(x). Let a(n) = n - 1. Give -a(k) - i(k).\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -120 (c) -100\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 12 = -13. Suppose 59 = -4*f + h*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -3*c**5\/7 - 60153*c**4\/7 - 6709239*c**3\/7 - 27732045*c**2 - 361892850*c\/7 = 0.\nAnswer: -19939, -55, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(3)*5 - sqrt(18)\/sqrt(54) - (sqrt(108) + (0 + sqrt(363))**2)) + 3.\nAnswer: -360 + 11*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -242\/19 + 7535\/608. What is the biggest value in n, 0, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4 - 6628*m**3 + 5497920*m**2 - 10969344*m.\nAnswer: 2*m*(m - 1656)**2*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1518*o + 60 = 1530*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 9) to base 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3404010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -155*f - 10 - 28 + 159*f. Calculate x(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*x - 4*x + x**2 + (-3*x + 2*x + 4*x)*(0*x - 2*x + 3*x) + 4*x**2 - 2*x - 9 + 10 + 1 to the form w*x + v*x**2 + k and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*q**3 - 12*q**2 + 44*q**3 - 16*q**2 + 54*q**4 + 4*q**2 - 8*q**5 - 13*q**3 = 0 for q.\nAnswer: -1\/4, 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 56*f - 1. Let z(i) = 11*i**2. What is h(z(g))?\nAnswer: 616*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -2, -20, 1, 9, 2, 72 in ascending order.\nAnswer: -20, -12, -2, 1, 2, 9, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 325 + -324.9. Let j be 1\/((-10)\/4*126\/(-90)). Let l = -0.2 - -0.3. Which is the nearest to l? (a) j (b) -0.1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 229, 455, 681, 907?\n\"Answer: 226*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 38*n - 14. Let h be t(6). Let f = h - 97. Is f a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122093 (base 11) in base 13?\nAnswer: 69b78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rfy when three letters picked without replacement from {r: 1, y: 2, z: 5, p: 4, f: 2}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9.25172 and -0.1?\nAnswer: 0.925172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 3:10 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1062806?\nAnswer: 2, 17, 31259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -353.\nAnswer: 5\/353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1.2, -2\/2121, -0.3.\nAnswer: -1.2, -0.3, -2\/2121, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5, 2, 0, -49, 127, -3\/2?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2763309 is divided by 92?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33111024 (base 5) to base 12.\nAnswer: 119017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-2))\/((11\/33)\/((-34)\/238))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.62 - 0.19. Let g = -0.03 + x. Which is the second smallest value? (a) g (b) -1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3915*o - 11757. Calculate x(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -60362207\/70 + 862343. Let s = -167\/5 + x. Find the common denominator of -91\/6 and s.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 217*g + 2405. Calculate the remainder when 1364 is divided by t(-11).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of y**7\/6 - 23*y**6\/16 - 187*y**5\/24 - 185*y**4\/16 - 35*y**3\/12 - 11*y**2 + 38*y. Solve x(f) = 0.\nAnswer: -1, -1\/14, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51758 is divided by 616?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (4 - (2 - 2)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jeencje. Give prob of sequence cjn.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -4 + 243*n**2 + 5 - 1 - 241*n**2. Let a(c) be the second derivative of -10*c**3\/3 + c. Determine a(s(w)).\nAnswer: -40*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -227.5 - -184. Let t = 56 + k. Let x = t - 13. Which is the third biggest value? (a) 5 (b) 4 (c) x (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**3 - 174*g**2 - 172*g - 211. Let s be r(-86). Which is bigger: s or -3815\/18?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001233416 to seven dps.\nAnswer: 0.0000123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 0. Suppose 0 = -733*w + 729*w + 3*t + 49, 0 = 4*w + 5*t + 39. Solve q = w*m - 64 + 44 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42823?\nAnswer: 11, 17, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 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 1834 + 0.49.\nAnswer: 1834.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/3)\/s)\/((s**(1\/2)*s)\/s))\/(s\/(s**0\/s))**7*(s**11*((s**(-4\/7)\/s)\/s)\/s*s*s*s)**(9\/7) assuming s is positive.\nAnswer: s**(-517\/294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1478486 is divided by 2230?\nAnswer: 2226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 41*y**2 - 2*y + 15. Let u be m(-41). Which is smaller: 96 or u?\nAnswer: 96","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 0. Suppose 3*s = o - 2*o + 11, f*o = s + 3. Sort s, -4, 2.\nAnswer: -4, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19532208 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 2*r + 3. Suppose -22 - 3 = -5*k. Suppose -2*w = k*d - 10, 5*d + 0 - 10 = 4*w. Calculate the lowest common multiple of d and l(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5658579*r**5 + 45247*r - 17.\nAnswer: -113171580*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -159*p**2. Let t(x) = 3*x**2. What is o(t(f))?\nAnswer: -1431*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 16.44. Let u = -0.3 + c. Let m = u - 0.42. Round m to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4275350, 4275349, 4275348, 4275347, 4275346?\n\"Answer: -v + 4275351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of c**6\/24 + c**5\/20 - c**4\/8 - c**3\/6 + c**2\/8 + c\/4 + 20. Let d(h) = 0. Calculate h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -54*s**2 - 84*s**3 + 30*s**2 - 1 + 25*s**2 as u*s**2 + i*s**3 + h + y*s and give i.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1325083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*f - 7793 = -12929 for f.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 38\/8325?\nAnswer: 38\/8325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.18 - -0.06. Let t = 0.22 + p. Let g = -0.5 - -3.5. Sort t, -1, g.\nAnswer: -1, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2838 and 516?\nAnswer: 5676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -11*c + 6. Suppose -y = 3*y + 24. Suppose -48*m + 35*m = 442. Let q(h) = 2*h - 1. Let r(o) = m*q(o) + y*p(o). Give r(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.653 minus -0.04?\nAnswer: 34.693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uwh when three letters picked without replacement from wshhqsquv.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-28))\/((-108)\/(-126))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 13*z**2 + 14*z - 20. Let n be s(12). Suppose 4*r = -0*r + 720. Suppose 6*a = a + r. Solve 4*v = -16, -v + a = -n*q - 5*v for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3*a - 2. Let s(g) = -9*g. Let c(y) = 62*y + 85. Let m(d) = c(d) - 7*s(d). Determine -255*h(t) - 6*m(t).\nAnswer: 15*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from rrrrjrrjrj?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 400*g**3 - 99399*g**2 + g + 179460295.\nAnswer: 1200*g**2 - 198798*g + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -6*c. Let l(a) be the third derivative of -5*a**4\/24 - 5*a**2. Let j(u) = -3*l(u) + 2*v(u). Let w(f) = -2*f. What is j(w(p))?\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2128 and -2.\nAnswer: 4256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -12*m + 38, 74*m = 69*m + 2*x + 17 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -550*q**4 - 3*q**2 + 3*q - 382. Let i(m) = -m**4 + m**2 - m - 2. Let g(v) = -3*i(v) - z(v). What is the first derivative of g(x) wrt x?\nAnswer: 2212*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9457 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 3, -1\/2, -79?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v - 21908 + 21908. Let c(u) = -14*u + 2. Give c(i(n)).\nAnswer: 14*n + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05108*0.07.\nAnswer: 0.0035756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -10128, -40351, -90678, -161115, -251668, -362343, -493146, -644083?\n\"Answer: -h**3 - 10046*h**2 - 78*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 8885*q - 248819. Calculate d(28).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1798 is divided by 60.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21.72 + -8. Round y to zero decimal places.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 69565225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -29\/2*b**2 + 5 + 6*b. What is the derivative of o(a) wrt a?\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -117*c**5 - 2*c + 87*c**2 + 7*c**2 + 2*c - 78*c**5 wrt c?\nAnswer: -11700*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3291*r - 2921. Determine o(1).\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**5 - 296*m**4 - 11298*m**3 - 37516*m**2 + 110120*m - 61008 = 0?\nAnswer: -82, -62, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 91575575 and 402530?\nAnswer: 183151150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 = -4*b + 443. Let v be 1\/(-5) - (-176)\/b. Does 28 divide (-1 + v)\/((-2)\/(-56))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-1260)\/50)\/(1253\/(-179)))\/((3\/(-10))\/(-1))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-89)\/(-178))\/(2\/36)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -454481, -454479, -454477, -454475?\n\"Answer: 2*u - 454483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 5:35 AM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 32909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*i + 32*i - 5 = 5*p - 46, 4*i + 77*p = 758 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 176 and 16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -9580a?\nAnswer: 95805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o**2 - 6*o - 30. Let a be j(5). Calculate the remainder when (36\/a)\/(-1*(-9)\/(-240)) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 24*h. Let s be b(5). Let p be (10994\/12)\/23 + 3\/18. What is the highest common divisor of p and s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 + (-13)\/((-702)\/333)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*v - 372 = 96. Let g be 0 + 3 - (0 - 2). Let r(i) = i**3 + 5*i**2 + 6*i + 10. Let d be r(-4). Sort v, d, g in ascending order.\nAnswer: d, g, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -250234 (base 6) in base 4?\nAnswer: -11121232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (5 - 4 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 10:26 AM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -131*f + 1493. Give v(-2).\nAnswer: 1755","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/623832 and 67\/1559580?\nAnswer: 3119160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-96)\/(-20) - 4)*(0 - (-1)\/2). Which is the nearest to 1\/4? (a) 7 (b) t (c) -0.054 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -61*w**5\/8 + 2113*w**4\/8 - 5321*w**3\/4 + 9929*w**2\/4 - 15937*w\/8 + 4669\/8 = 0. Calculate w.\nAnswer: 1, 161\/61, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1243 and 168157?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-67)\/(-4) + (-5)\/(-20). Let z(u) = u**3 - 9*u**2 + 16*u + 4. Let h be z(7). Which is greater: h or v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25579525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {n: 4, s: 9, g: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -49*x + 133. What is the remainder when k(-2) is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45533045.\nAnswer: 5, 29, 314021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011111001 - -1000?\nAnswer: 1100000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f. Let x(z) = 5*z + 3. Let m(a) = 12*n(a) - 3*x(a). What is m(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1300 + 1?\nAnswer: -1233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(204)\/sqrt(48) + 5 + (sqrt(816) + sqrt(816)*2)\/(sqrt(75)*2 + sqrt(3) + sqrt(3)).\nAnswer: 5 + 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*f**5\/13 - 82*f**4\/13 - 230*f**3\/13 - 138*f**2\/13 + 126*f\/13 + 108\/13 = 0. What is f?\nAnswer: -6, -3, -1, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -j + 50. Let i(a) = -3*a**3 + 3*a**2 + 18*a + 27. Calculate the remainder when j is divided by i(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77075391.\nAnswer: 3, 61, 421177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*r - 3*r = -27993. Calculate the greatest common factor of r and 1457.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 139.9 - -34.1. Let q = 169 - d. What is the second smallest value in q, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1)*g*g**(-7\/5)\/g)\/(g**4)**14 assuming g is positive.\nAnswer: g**(-292\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3336.93 seconds to microseconds.\nAnswer: 3336930000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 3:22 AM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39620259 and 1701.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 144 and 5594?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 485671 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*o**5 - 5*o - 753*o**2 - 2*o**5 + 766*o**2 + 190*o**6 wrt o?\nAnswer: 22800*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 657 a factor of 9425322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 8 + 9 - 3*i**2 - 11 - 11*i + 9*i**2. Is c(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**5 + 25*b**4 - 144*b**3 - 680*b**2 + 6800*b - 6000.\nAnswer: -(b - 10)**3*(b - 1)*(b + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 421*s**3 + 20*s**2 - 224*s - 419*s**3 - 128*s**2 = 0.\nAnswer: -2, 0, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -0*j + 2*j. Suppose 6*b + j = 9*b. Let u(m) = -m**2 + 3*m - 3. Give u(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*s = -15*s - 312. Solve -17*p - 60 = s for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**2*x\/(x*x**3)*x*x**(1\/7)*x\/(x*((x*x**3)\/x)\/x) assuming x is positive.\nAnswer: x**(-13\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - 20*l + 715. Calculate w(15).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 0)*(f - 5*f + 2*f) + 0 - f + 0 + 444*f - 3320*f + 1349*f + 2*f - 3*f + 2*f + 3.\nAnswer: -1525*f + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in ninety-one quarters of a meter?\nAnswer: 22750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 66 = -3*o, 0 = 2*o + z - 2*z - 42. What is the greatest common divisor of o and 160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 6*s - 5. Let j(x) = x**2 - 2*x + 9. Let q(u) = -3*u + 1. Let p(l) = -j(l) - 5*q(l). What is -6*p(c) + 17*z(c)?\nAnswer: 6*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -413342 - 1402?\nAnswer: -420244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2430 is divided by 244?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 b when four letters picked without replacement from bqgpqggyyqq?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of l**4\/12 + l**3\/6 + l**2\/2 - 15*l + 1. Let o(k) = k + 2. Calculate -3*d(m) + 2*o(m).\nAnswer: -3*m**2 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t + 27. Let u(j) = -2*j + 14. Let o(g) = -6*p(g) + 11*u(g). Let y be o(5). Solve -3*a - y = -5*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o**(-14\/11)\/o)))\/o**(-10\/7))\/(o*o**(2\/71))**47 assuming o is positive.\nAnswer: o**(-268802\/5467)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*d**4 - 3*d**4 + 3 + d + 0 + 2*d in the form q + g*d**2 + k*d**4 + f*d**3 + b*d and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1526770300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 16*(-5270)\/9920*(-2)\/34\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49824 - 25524. Calculate the remainder when m\/190 - 4\/(-38) is divided by 44.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41879.\nAnswer: 41879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**3 - 126*m**2 + 129*m - 108. Calculate c(62).\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 - 525900828*k - 34571460111385698.\nAnswer: -2*(k + 131475207)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 9*v**2 + 9. Let d be n(9). Let c = -6 + d. Does 36 divide 56\/(3 - 2)*c\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 11. Let s(r) = -2*r - 5*r**2 + r**3 + r + 6*r. Let l be s(q). Solve -2*v + l = 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 73 - -43. What is the least common multiple of 8 and o?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.062 + 55725\nAnswer: 55724.938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - 134. Let z be ((-88)\/24)\/(2\/c). Suppose -5*s = 3*p - 156, -5*p + 0*s = -5*s - z. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 62*f + 442. Let q be x(-7). Solve -14 = -q*s - 46 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4177)\/(-5) + (-18)\/45 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 1 + 1 + 0. Suppose -2*m + d = 2*d - 1596, f = 4*m + 3*d - 3194. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/18783831 and -151\/20491452.\nAnswer: 225405972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -571 divided by 4\nAnswer: -571\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36 + 66 + 52)*(8 - 8 - 19*t)*(2 + 0 - 5).\nAnswer: 4674*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -0.47, -0.1, 1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -3 (c) -2 (d) 61\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**3\/x*x)**(3\/32))**15 assuming x is positive.\nAnswer: x**(135\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 4*c**2 + 4*c + 2. Let v be l(-3). Let d = 108 + -108.017. Let m = -5.017 - d. What is the third smallest value in 3\/8, v, m?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52319167 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 912 - 912. What is the smallest value in -3, 1\/16, n, 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.52 + 4.52. Which is the fourth smallest value? (a) 2 (b) 0.141 (c) 0.1 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 72.59 - 72.5. What is the fourth biggest value in -1\/6, -2\/5, -9\/5, b?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of -v**4\/12 - 11*v**3\/6 - 7*v**2\/2 - 2*v. Let b be h(-10). Let i be (b*2)\/(2 + -3). Which is greater: -5 or i?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 420*i**3 - 407*i**3 - 10*i - 4 + 0*i + 3 in the form p*i + g*i**2 + u*i**3 + r and give u.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 271?\nAnswer: 2981","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4*l - 62 = -0*q, 0 = 5*l - 25. Suppose 4*b + p - 26 = 0, -4*b + 7 + q = 2*p. What is the first derivative of -b + 5*g**3 - 15*g**3 - 3 wrt g?\nAnswer: -30*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*n**2 + 17*n**2 + 7*n**2 + 10*n**2 - 4*n**2 + 12*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1*(-2 + 3))\/(8\/32). Sort 1, -4, s in increasing order.\nAnswer: -4, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) -13997\/2 (c) -3 (d) -5 (e) 0 (f) -0.01 (g) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a century in years?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5754 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aqaaaaaaaqaqaaaqqaq. What is prob of sequence aa?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - a = 4. Suppose a = -d + 6. Suppose -3*b + 3 = -9. Solve -4*i - 4 = b*t, -2*i - 4 = t + d*i for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11100294)\/(-213588) + 0 + -52.\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 6. Let a(b) = b**2 - b - 6. Let l be a(c). Suppose l = -8*m + 7*m + 203. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/8 of a gram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -o - 7. Does 25\/2 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 2*l - 6, -34 - 2 = -2*w - 4*l. Suppose h = -0*h + 2*y - 50, -h + 3*y = 53. Calculate the remainder when (-6 + 3)\/(6\/h) is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ypb when three letters picked without replacement from yyyyyyzpyybyzpyyyypz?\nAnswer: 13\/2280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5.7*40482\nAnswer: 230747.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -5 + 5 + -4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -4*r - 5*b, -12 = 3249*b - 3245*b for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -34457, -68850, -103265, -137702?\n\"Answer: -11*g**2 - 34360*g - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 37, 102, 237, 466, 813, 1302?\nAnswer: 1957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 6*h**2 + 6*h + 7. Let t(l) = 14*l - 9. Let b be t(-3). Let s = -58 - b. Let j be f(s). Calculate the greatest common divisor of 70 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*l**2 + 2*l**2 + 0*l**2)*(2200 - 4737 + 2491 + 1379)*(l + l - l) as v + d*l**2 + t*l**3 + j*l and give t.\nAnswer: -3999","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -3.4. Let w = -0.6 + x. Which is the nearest to w? (a) 2\/13 (b) -5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/910 and 139\/32032.\nAnswer: 160160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/103056390 and 51\/125957810.\nAnswer: 1133620290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 133056 and 1008?\nAnswer: 133056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -117\/226 - -2\/113. Let a = -19 + 94\/5. What is the nearest to 0 in 0, i, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (34*l + 41*l - 105*l)*(1 - 2 + 0) as o + b*l and give b.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 2233, 984, -3, 3 in ascending order.\nAnswer: -3, 2, 3, 984, 2233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 1. Let m be (1 - (2 - y))\/(-2). Suppose 0 = -g - d - 4*d + 11, m = 3*g - 4*d - 52. Does 10 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 263 = 5*f - 490, -f + i + 153 = 0. Suppose 438 = -4*c + y + f, -3*c + 5*y = 204. Let g = -17 - c. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 337261226303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7511*p - 7549*p = -5415000. Round p to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4317 + -3001. Let m be (x\/12)\/((-4)\/(-12)). What is the greatest common divisor of m and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 12752*z**2 - 12770*z**2 + 1 - 23*z in the form v*z + t + n*z**2 and give n.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 6*w**3 - 7*w**2 - w + 2. Let f(h) = 10*h**3 - 10*h**2 - h + 3. Let b(q) = -2*f(q) + 3*m(q). Calculate b(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29810.46 tonnes to milligrams.\nAnswer: 29810460000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2320078 to the power of 1\/2, to the nearest integer?\nAnswer: 1523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 334450525 + 4?\nAnswer: 334450533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from kkkbfkdfk?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -3, 0.016 in descending order.\nAnswer: 0.3, 0.016, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) + (sqrt(15)*-3 + sqrt(15))*2)\/sqrt(3).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zbp when three letters picked without replacement from pmbzmqpbzbmqmvqz?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-228)\/8)\/(6\/(-8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3*q + 2. Let s(i) = 16*i - 11. Let r(b) = -2*s(b) - 11*u(b). Let o = -3 - -4. Let c(p) = -6*p**2 - 12*p. What is o*c(f) + 12*r(f)?\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 721*j = 717*j. Suppose j = -71*x + 61*x. Solve x = -7*d + 12*d + 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 224\/(-48)*60\/70.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 8*a**2 + 9*a - 3. Let c be r(9). Let w be (1\/c)\/((-8)\/120). Suppose -w*o + 425 = -0*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 51*l**3 - 4 - 4 + 74*l**3.\nAnswer: 125*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(133)*1)\/sqrt(7).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 15*i = 10*i, 5*i = -4*x + 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13833 - 55331\/4. Which is smaller: 1\/805 or h?\nAnswer: 1\/805","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 133 = -5*s + 31, 3*s = -4*y + 316. Let z = 124 - y. Suppose 0 = 2*x - 0*x - z. Is 11 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150*h**3 + 161*h**3 + 149*h**3 - 431*h**3 + 10*h**2 - 10*h**2.\nAnswer: 29*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6304131?\nAnswer: 3, 700459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**3 + 44690*s**2 - 22298*s**2 - 22333*s**2.\nAnswer: -2*s**3 + 59*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (-1881)\/143 - (-9 - 1375\/(-143))?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 e when three letters picked without replacement from effeee.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**2\/7 + 49047216*u\/7 - 14013492 = 0. What is u?\nAnswer: -16349074, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*h - 11. Suppose -p = u - 2 + 3, u = 4*p + 9. Let d(g) = 77*g**2 - g + 1. Let c be d(u). What is the highest common factor of c and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/3 or 124598?\nAnswer: 124598","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-10)\/(-3) - 3)*795 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10261317 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 3*u + 3*u**3 + (-1 - u**2 + 1)*(-2*u + 0*u + 3*u) - u + u + 2*u**3 + 3*u**3 - 2*u**3 + u**3)*(-3 + 3 + u**2).\nAnswer: 6*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40182 - -40196. Suppose 3*i = -5*o + 50, 4*i + 0*o = o + 82. What is the least common multiple of f and i?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -23*o. Suppose 0 = 8*x + 5*x - 65. Let d(a) = 15*a. Calculate x*t(f) + 8*d(f).\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -35. Suppose 0*r + t = 2*o + 4*r, -9 = -2*o + r. Suppose 2*y + 120 = o*y. Calculate the highest common factor of 75 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3078 and 46104336?\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22478491?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239732 is divided by 521?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -66.\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7068 = -3*i + 5*r, -1947 = -5*i + 5*r + 9833. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 10, h: 9}. Give prob of sequence ahh.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5*l - 25 - 1 = 0, 14 = -n - 5*l. Let b be (-6 + 4)*6 + n. Let d(m) = -2*m + 31. What is the tens digit of d(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -793\/576644?\nAnswer: -793\/576644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 394 + 20 = 0. Suppose 5*r + 51 = -79. Let s = r + g. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-9))\/(14\/(-21)). Which is the nearest to 0.01? (a) -1\/4 (b) s (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 452633?\nAnswer: 4\/452633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11151 is divided by 115?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of 4*b**5\/5 - 28*b + 1. What is the derivative of n(w) wrt w?\nAnswer: 16*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20984260 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23003?\nAnswer: 23003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18.57438 - -29.4252. Let w = i + -48. Round w to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-14)\/(((g\/(g\/(g**(6\/11)\/g)))\/g)\/g)*g*g**1*g*g\/g**5 assuming g is positive.\nAnswer: g**(-138\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h + 5*s + 11, h + 0*h = s - 1 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 2*a + 46, 88 = 6*i - i + 4*a. Calculate the least common multiple of (-3)\/(-1*3\/12) and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 430 + 1893. Is 4643\/2 at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3861123533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 356\/(-1837) + 0 + (-10)\/(-55). Let k = r + 509\/668. What is the smallest value in -4, k, -3, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -7*k**3 + 651*k**2 - 1895*k + 445. Give z(90).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/4*2*2. Solve -2*j = -3*j - y for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/7 + 6\/7*x - 2\/7*x**2.\nAnswer: -2*(x - 2)*(x - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 6:02 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 11:03 AM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 7*z - 13. Let o be f(5). Let i be -1 + 2 - o - (-1165083 - -87). Round i to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201209 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 0, -3, -5, 4672, 90 in decreasing order.\nAnswer: 4672, 90, 3, 2, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000007598 to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 26 = 2 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(2\/(-1))*536\/((-12)\/3)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m - 1. Let x be q(-2). Solve -x = -0*b - 5*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -149\/595 - 3\/85. What is the fourth smallest value in 5, 3, -3, y?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 times -0.033\nAnswer: 0.00198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76556668 and 9700.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 974.476l in millilitres?\nAnswer: 974476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 533 = -525. Solve -4*u + w + 25 = 0, 4*w = 3*u + j - 39 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 239 in -4, 0.4, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -21210120 (base 3) to base 15\nAnswer: -1a40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.6 + 1. Let j = 1.5 + -1.9. Which is the smallest value? (a) q (b) j (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/6132154 and 103\/2127482?\nAnswer: 104246618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1656456867 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55 - 36*h**2 + 28374*h - 28376*h + 23 + (-2*h - 2*h + h)*(3*h + 0*h - 4*h) to the form s*h + u + o*h**2 and give o.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 5*o**2 - 2*o + 3. Suppose -36*w = -45*w - 99. Let z(v) = 25*v**2 - 11*v + 16. Give w*g(b) + 2*z(b).\nAnswer: -5*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**2 - 3*q**2 - 2*q**2 + (-q - 2*q + 13*q)*(-1 + 1 + q).\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -622.68355 rounded to one dp?\nAnswer: -622.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34218 is divided by 25670?\nAnswer: 8548","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (15 - -28) + 3\/9 + 20\/3. Solve 172*x - 162*x - m = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 6*d - 25. Let i be 6\/(-18)*(d - 7). Factor 0 - 4\/9*c + 22\/9*c**i - 2*c**4 - 8\/3*c**3.\nAnswer: -2*c*(c + 2)*(3*c - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -0.26, 18\/11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 8862 divided by 14\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224*p = -1345255 + 1371239 for p.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 875\/313?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1916552602 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 3*s = 4*l + 13, 5*l = 5*s + 10. Let p be (3 + -5 - -1)\/l. Solve -6 = -r - p for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 5*t**2 - 5510*t + 505495. Determine o(1001).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*2\/(-12))\/(2898\/378).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*(d*d**(-15\/8))\/d*(d*d*d*d**(-2\/61)\/d*d)\/d*((d\/d**(3\/2))\/d)\/(d**(-4\/7)*d) assuming d is positive.\nAnswer: d**(-2857\/3416)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -7*d. Let t be h(9). Let z be (-6)\/24 + -1*t\/12. Which is the closest to -1? (a) 2 (b) -2\/3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4691, -10532, -16371, -22208, -28043, -33876?\n\"Answer: i**2 - 5844*i + 1152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2510670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -727787, 82 in descending order.\nAnswer: 82, -1, -727787","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h**3 + h**2 - 2*h - 2. Calculate l(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 3*d**3 + 3*d**2 + 2*d**3 - 2*d**4 + 2 - 3 in the form w*d**4 + f*d**2 + q + m*d**3 + a*d and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 = 25*u - 60 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from zzuzzzzzuuzuzuuzzzu?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**3 + 12*u**2 + 5*u. Let i(g) = -g**3 - g**2 - g. Let j(c) = -5*i(c) - z(c). Find the third derivative of j(t) wrt t.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (2 + (-6 - -1) - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 73*b**3 + 4*b - 74*b**3 - 3 + 2*b**2 + 2. What is p(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-5*1*sqrt(39))\/sqrt(3) - (-4 + sqrt(26)\/sqrt(2)*-3)).\nAnswer: -20 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 98*r - 119. Let k(q) = -5*q + 6. Let v(z) = -6*g(z) - 119*k(z). Let s(m) = -2*m + 20. Calculate s(v(b)).\nAnswer: -14*b + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/15 and 121\/9984.\nAnswer: 49920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-422127)\/238)\/(-93) - (-3 + 22)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.4, -1\/2, -2\/923, -3 in decreasing order.\nAnswer: -2\/923, -0.4, -1\/2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5491 in 3, -5, 300?\nAnswer: 300","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 3113\nAnswer: -5\/3113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/4 - 1\/(-2). What is the closest to -1 in v, 5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001222 rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 12*l - 525 = 10*l, -3*l - 525 = -5*j. Suppose 3*z - 495 + j = 0. List the prime factors of z.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 + 5*v)*(-2 + 1 + 0)*(83*v + 16*v - v + 0*v + 5*v - 3*v + 4*v + 2*v - 4*v + (6 - 3 - 1)*(-v - 3*v + 6*v)) to r*v**2 + p*v + b and give r.\nAnswer: -530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4888*b**5 - 2*b + 1979.\nAnswer: -97760*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 - 11 = 3*b. Suppose -7*m + 2 = -b*m. Let o = 40 + -409\/10. Which is smaller: m or o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*p + 3*p - 2*p)*(0 + 0 + 1) + (3 - 5 + 4)*(-p + 0*p - p) - 3*p - 4*p + 5*p - 5*p + 0*p + 2*p to the form f*p + m and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 2*s - 4. Let c be z(-4). Suppose -5*k + 43 = -42. Let h(g) = 15*g + 6*g**2 - k*g - 5*g**2 - 4. What is h(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 + 2 - 2)*(6*t + 2117 - 2139 - 5*t).\nAnswer: -t**3 + 22*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -5. Let h(b) = -b**3 - 7*b**2 - 8*b - 6. Let o be h(g). Suppose 4*f - o = 3*f. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (154 - (-6)\/(-9)*6) + -4. Suppose 414 = 3*g - 5*q, g = -2*q + q + w. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32978 to the power of 1\/2, to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*(v*v**(-2\/23)*v)\/v*v)**(-1\/69))**(1\/4))**(1\/17) assuming v is positive.\nAnswer: v**(-67\/107916)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3773518 is divided by 152?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b. Let i(x) = -x**2 - 7*x - 19. Let o(j) = i(j) - 5*z(j). Let l be o(-8). What is the highest common factor of l and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001 + -100011?\nAnswer: -101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of m**6\/120 - m**5\/40 + m**3\/2 - 2*m. Let z(h) be the second derivative of j(h). Find the second derivative of z(a) wrt a.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 36535 = 8*d - 4*d, 18*x = -3*d + 657423. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 1:39 PM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1696)\/(-2120))\/((-2)\/20) - -10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + 0 + (18 - 11). Calculate the highest common factor of b and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -359\/131 < -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14327 + 12*c**2 - 14332 - 34*c**2 + 372*c**5 wrt c?\nAnswer: 22320*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(-10\/7)*b*b)\/b*b**(3\/20)*b assuming b is positive.\nAnswer: b**(381\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ataa when four letters picked without replacement from taafaafxftxaaat?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 52*a**3*x*z**2 + a**3*x + 2*a**3*z + 1524*a**3 + 11*a**2*x*z**2 + 12143*a*x*z**2 wrt a?\nAnswer: 312*x*z**2 + 6*x + 12*z + 9144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(21)\/(-4*sqrt(3)) + -1 + sqrt(1008)*2)**2.\nAnswer: 285*sqrt(7)\/2 + 63319\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -342a7 (base 12) to base 7\nAnswer: -406504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20805 + -13515. Calculate the highest common factor of 27 and b.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3702603104614 take away -0.07?\nAnswer: 3702603104614.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-7 - -2) - (-8 + 17 - 3).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4892 is divided by 55?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -15*u - 102. Let a be v(-7). Suppose 5*o - 15 = 4*p, p + o = 2*o - a. Solve -f + p*x = -x, 0 = 2*f - x - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 335648 + -81?\nAnswer: 335557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 5*d. Let o be -1 - (-3 + 0 + 0). Suppose o*c - 12 + 2 = 0. Let n(a) = 2*a - c*a + a. Determine n(h(s)).\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 24645697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*q + 3*p + 55 - 121, 5*q - 3*p - 2 = -12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 - -8*(-1)\/(-2) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 931484 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3079234006 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 6\/(-21) + 886\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*l**5 + 327419*l**4 + l**3 + 3*l**2 - 1413606*l.\nAnswer: -120*l**2 + 7858056*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1337670 - 2972302645\/2222. What is the common denominator of k and 11\/1212?\nAnswer: 13332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -872 - -3130. List the prime factors of d.\nAnswer: 2, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 6:22 PM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 312 (b) -2\/7 (c) 1190 (d) 1 (e) 18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 50916 rounded to the nearest 1000?\nAnswer: 51000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 91, 256, 421, 586, 751?\nAnswer: 916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from {p: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 7*v - 3*v + 119604, -3*v = 4*z - 119604. Suppose 556*f - z = 553*f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*m - 59 + 14. Sort -1, m, 18, 1 in descending order.\nAnswer: 18, 1, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gtro when four letters picked without replacement from thgro?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((4 - 2)*-1)\/((-1526)\/6867)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -f + 19. Suppose f = y, -11*y + 876 = 2*m - 15*y. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/18 and -143\/153396.\nAnswer: 153396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 7, -27, -5, 3, 196, -195.\nAnswer: -195, -27, -5, 0, 3, 7, 196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**4 - 2*j**3 + 2*j**3 - j**4 - 3 + 3 + (j**3 - 2*j + 2*j)*(-633 - 17*j + 633)*(4 + 4 - 6).\nAnswer: -32*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 55939182 to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/2566936 and -17\/12.\nAnswer: 7700808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t\/(t**(-2\/9)\/t))*t**(2\/11)*t**10*t\/(t*t**(3\/17)) assuming t is positive.\nAnswer: t**(14782\/1683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 49*r + 211. Let t be l(53). Is 24 a factor of -4 - 1\/t*764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002389 to six decimal places.\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 840, 838, 836?\nAnswer: 834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3381446, -3381452, -3381460, -3381470, -3381482, -3381496, -3381512?\n\"Answer: -g**2 - 3*g - 3381442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 5:01 PM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3161963 - 50240*j**3 - 3161963.\nAnswer: -50240*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 31 (b) -4 (c) 2 (d) -8\/19 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2988 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65905 and 807.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -67410, 2\/9, -0.4, -5, 83?\nAnswer: -67410","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4427, 8884, 13369, 17882, 22423, 26992, 31589?\nAnswer: 36214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62861 is divided by 31430.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*q - 50*q - 462 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-8 - (-15 - -9)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -24 - ((1 - -4) + -2)) + 1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 209977973 to the nearest integer?\nAnswer: 594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -y**4\/2 - 1373*y**3\/2 - 24282*y**2 - 289656*y - 1155168 = 0.\nAnswer: -1337, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11087, -11085, -11099, -11141, -11223, -11357?\nAnswer: -11555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30 by -3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by 17?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2*q**2 + 2*q**4 - 1 + 3*q**3 + 4*q**2 - 4*q**3 + 2*q - 1 to the form s + i*q + t*q**2 + f*q**4 + c*q**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 3 (b) 1741 (c) 35 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -7, -1324 in descending order.\nAnswer: -2, -5, -7, -1324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10\/15)\/((-1)\/(-24)). Let d be 2 + -2 - 6\/g. Let n = -19 + 20. Is n bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.6, 10, 98, 25, 4?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13724*m**2 - 2880*m.\nAnswer: -27448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 143*l + 145*l = 3, -4*k - 10 = 5*l. Let d(q) = -q - 4. Let z = -2 - 2. Let f be d(z). Solve 0 = 2*i - k*g - 14, f*i + 6 = 5*i + 2*g for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/4*1808\/9492*(-24)\/2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-2)*j)**4\/((j\/((j\/j**6)\/j))\/j*j**3*j) assuming j is positive.\nAnswer: j**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24987.6 + -25032. Which is greater: o or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a century in decades?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 9:27 AM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100 - -320?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1 and -23.947 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5*w. Let k(x) = 3*x + 16. Determine t(k(b)).\nAnswer: 15*b + 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30836 + -333.4.\nAnswer: 30502.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3340 + 3329. Sort 11, 5, o, -2\/3 in descending order.\nAnswer: 11, 5, -2\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 1 + 26. Suppose -19 = d + 4*u, d + 2*u + 0*u + i = 0. Suppose 4*y - 21 = -d. Solve -y*z + 0*z + 20 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pqq when three letters picked without replacement from vqpqppp.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/50 of a century?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hryytzzhx. Give prob of picking 1 x and 2 y.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of p**4\/6 + p**2\/2 - p. Suppose 2*k + 0*k - x + 2 = 0, -3*x = 5*k + 16. Does 4 divide m(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 851 + -656. What is the greatest common factor of p and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42 + 78. Suppose 4*y + 28 = 2*y + 3*j, j + x = -5*y. Let o = -5 - y. Does 2 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -19544*a - 2912008. Give s(-149).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -5*t**2 - 5*t. Let q(v) = -5*v**2 - 4*v. Let p(d) = 6*c(d) - 5*q(d). Factor p(o).\nAnswer: -5*o*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 181 = -5*z + 646, 0 = -s + 5*z + 238. What is the nearest to s in -0.4, 6\/7, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m**5 + 0*m**5 - 2*m**5 + (5 + 2*m**2 - 5)*(-11*m**3 - 11*m**3 - 7*m**3).\nAnswer: -56*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -5*r + 2, -2*y - 3 = -r. Sort 0, y, -194.\nAnswer: -194, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.029, 12\/7, -1 in descending order.\nAnswer: 12\/7, -0.029, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -242 less than 1319801043?\nAnswer: 1319801285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 12:22 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 20766, 20776, 20786, 20796, 20806, 20816?\n\"Answer: 10*i + 20756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3)*(-10 + 2 + 0)*(-i + i + 3*i) - 2*i - 4*i + 4*i.\nAnswer: 22*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 85689087 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17383 - -17457.19. Let l = q + -75. Round l to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 864 = 3*y - 2*h, 4*y - 7*h + 11*h - 1152 = 0. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-2))\/2*0. Let b = 2 - v. Find the third derivative of -2*o**2 - b*o**6 + 0*o**6 + 4*o**2 wrt o.\nAnswer: -240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2bd + e?\nAnswer: -2af","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 7*a**2 - 7*a + 2. Suppose 0*d = -3*d - 18. Let i be v(d). Suppose b - 1 = 0, 4*b - b - i = -c. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 180 = n - 5*n, -2*n + 5*y + 90 = 0. Factor n*d**3 - 32*d**2 + 0*d**3 - 4*d - 10*d**2 + 8.\nAnswer: (3*d - 2)**2*(5*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*y + 2*y**2 + 15*y - 4*y**2 + (-1 - 2 + 5)*(2*y**2 - 2*y**2 + 2*y**2))*(y**2 - y**2 - 3*y**2).\nAnswer: -6*y**4 - 3*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 739150 - -122?\nAnswer: 739272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -23*g - 24. What is w(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - (144\/24 - (-166)\/(-18)). Put 0.3, -2\/3, -0.4, r in increasing order.\nAnswer: -2\/3, -0.4, r, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -533.9 + 599.83. Let q = c + -66. What is the closest to -1 in 3\/7, q, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*i - 6 = 0, -r - 5*i + 3 = r. Solve -r*m = -t - 14 - 1, -5*t + 21 = 4*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2258 divided by -2\nAnswer: 1129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l**2 - 1 + l**2 - 3*l**3 - l**3 - 2*l. Let b(t) = 5*t**3 + 3*t**2 + 3*t + 2. Let d = -681 - -683. Determine d*b(p) + 3*a(p).\nAnswer: -2*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2033, 1965, 1899, 1835, 1773, 1713?\n\"Answer: w**2 - 71*w + 2103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d - 4. Determine n(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.4, 10, -0.1, 1\/737?\nAnswer: 1\/737","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -90 - 10*s - 12*s + 32*s - 175 - 6*s in the form v + m*s and give v.\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -878 or -876?\nAnswer: -876","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 41*j - 6. Let v(f) = -4*f - 2. Let h(c) = 2*c. Let s(n) = -9*h(n) - v(n). Determine 11*s(g) + 4*x(g).\nAnswer: 10*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert a63 (base 12) to base 15.\nAnswer: 6b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4588585*q**3 + 3706586*q**2.\nAnswer: -27531510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -61 or -52?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-705)\/1880*-2*4\/32?\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27036, 56703, 86370?\nAnswer: 116037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 489, 501, 523, 555?\nAnswer: 597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -74 or -176?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -447 (base 13) to base 12.\nAnswer: -513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 481125 is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2215738?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 892019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11429874*k**2*q + 2*k**2 - 491*k*q + 8961*k wrt k.\nAnswer: 22859748*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -15, -10 in decreasing order.\nAnswer: 3, -3, -10, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 380 and 13320824?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-529)\/(-1518)*-6 + (9 + -7 - -1)?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, c: 1, o: 6, d: 1, n: 3}. Give prob of sequence oidi.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 68 divided by 17\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of -o**7\/840 - o**6\/160 + o**5\/60 + o**4\/8 + 99*o**2 + 2. Factor z(k).\nAnswer: -k*(k - 2)*(k + 2)*(k + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/9*-3)\/(24\/24)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5610 and 5814?\nAnswer: 319770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 divided by -39?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/184 and 119\/24.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (84 + (-5964)\/70)*(-15 + -1 + 1). Solve 0 = -0*u + q*u - 108 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 540, 2\/11, -0.5 in increasing order.\nAnswer: -0.5, 2\/11, 540","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -5*o + 7. What is p(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2878 by 266.\nAnswer: 1439\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 62501977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 865489111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-4 + 0 - -8)) + 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3*p**3 - 2. Let n(d) = 7*d**3 - d + 4. Let f(h) = -h**2 + 3*h + 5. Let r(m) = -m - 3. Let v be r(-8). Let j be f(v). Determine j*g(x) - 2*n(x).\nAnswer: x**3 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -123? (a) 0.1 (b) 0.4 (c) 25.658\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 22*b**2 - 28*b + 36. Give m(23).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2096770526 to the power of 1\/3, to the nearest integer?\nAnswer: 1280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 791, 5, 4, -6, -5 in increasing order.\nAnswer: -6, -5, 4, 5, 791","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - 877\/4*1. Let y = x - -75343\/348. Let j = y + 12\/29. Which is the third smallest value? (a) -2\/3 (b) 0.5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3918 + 19189 + 0*k + 12*k - 14*k)*(-2 + 2 + 2*k + (-1 + 2 + 1)*(-2 - 2*k + 2)).\nAnswer: 4*k**2 - 30542*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -352 = -7*f + 9*f. Let i = 401 + f. Suppose -i - 283 = -4*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1043 + -998.05. Let i = -1.05 - o. Are i and -2\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 25\/6. Let q be 12\/(-135)*6\/4. Which is the second biggest value? (a) 3\/5 (b) w (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 3, -584, 46068 in descending order.\nAnswer: 46068, 3, 2, -1, -584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6303847?\nAnswer: 11, 263, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/((-180)\/(-972)*9\/(-30)). Suppose 3*o = 2*o - 1. Let h = o - b. Is 17 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.13? (a) -844.5 (b) 4\/9 (c) -5 (d) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - f = 26, -12 - 13 = -4*z + 5*f. Suppose -d = -3*q + 2, 2*d + 3*q - 8 = 6. Suppose 0 = -z*g + 5, 2*g = -d*y + 6. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -s**6\/20 - 43*s**4\/12 - s**3\/3 + 98*s**2. Find the second derivative of q(j) wrt j.\nAnswer: -36*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3719533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.147 in 2\/9, -6\/5, 2, 1, -10, -0.44?\nAnswer: -0.44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 832492\/13 or 64037?\nAnswer: 832492\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 898220.\nAnswer: 2, 5, 97, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5*h = 2*b - 90, 2*b + 30 = -h. Let y = 44 + h. Calculate the remainder when 78 is divided by y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 354965?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 4402?\nAnswer: 4355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/4*12\/(-18))\/(229\/(-458))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from aaaafaahaahavfvh?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/11 (b) 1 (c) 0.05 (d) 13.7 (e) 0 (f) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12513 rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, s: 2, d: 3, t: 3, j: 3, x: 2}. What is prob of picking 1 d, 2 t, and 1 x?\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-22)\/(-2) - (7 - 5)) + -6. Let o(f) be the second derivative of f**5\/20 - f**3\/2 + 2*f**2 - 5*f. Calculate o(x).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 18*n**2 + 18*n + 6. What is a(19)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(133)*-2)\/sqrt(7) - (5 + sqrt(38)\/sqrt(2) + sqrt(19))**2) + (1 + sqrt(2736))**2 + (0 + sqrt(1539))**2 + -1.\nAnswer: 2*sqrt(19) + 4172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*n - 38217 = 18544. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11358 is divided by 2828.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a meter in micrometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 143*s**2 + 9 - 11 - 19*s**2. What is the units digit of j(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -558*y + 307. Let l be u(-7). Let r = 8556 + l. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -545716600 to the nearest 1000000.\nAnswer: -546000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -r**2 + 2115*r - 7646 with respect to r.\nAnswer: -2*r + 2115","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -38077 and 5?\nAnswer: 38082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -326613 (base 7) in base 16?\nAnswer: -e0f1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -23*g**2 + 3*g + 37. Let c(k) = -69*k**2 + 7*k + 111. Let l(w) = -6*c(w) + 17*r(w). Is l(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 3*h + 7*q - 5*q, -2*q = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 230244 (base 5) in base 9?\nAnswer: 12220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/1)\/(-2 + 1). Suppose i = -k*a + 15, -3*a - 2*a + 3*i + 54 = 0. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23 - 2464?\nAnswer: -2441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1181\/13 + -91. Which is the smallest value? (a) -0.2 (b) -5 (c) -3 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5811 - 69823\/12. Calculate the common denominator of -133\/12 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + (-4)\/(-1 + 3). Suppose 0 = q*p + 4 - 56. Suppose -5*g = x - p, 3*x + x + 46 = 5*g. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = v - 15, 5*v = 5*b - 15. Suppose -4*u + b = -2*u. Suppose -4*n + 9*n + 85 = -4*p, 109 = -u*n + 5*p. Round n to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.00606*0.29\nAnswer: 0.0017574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -7\/2 (b) -8 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 494*r + 13 + 9.\nAnswer: -494*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a century?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 14*d - 3. Let m(l) = l**2 - 10*l + 2. What is -5*h(n) - 7*m(n)?\nAnswer: -2*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -3\/56*w**8 + 0 + 0*w**2 + 0*w**5 + 31*w + 19\/12*w**4 + 0*w**3 + 0*w**6 + 0*w**7. Find the third derivative of b(c) wrt c.\nAnswer: -360*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 14*p. Let c(b) be the first derivative of 5*b**2 + 149. Determine o(c(h)).\nAnswer: 140*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxu when three letters picked without replacement from xuxxuxuuxuxx.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -53*q**3 - 2*q**2 + 3*q + 2. Let m(f) = 265*f**3 + 11*f**2 - 16*f - 11. What is -11*c(h) - 2*m(h)?\nAnswer: 53*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13311 - -4439. Let z = -63 + 70. Suppose 2*s - c = z*s. What is s rounded to the nearest one hundred?\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - (-13 + -6 - -39 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -43369*l**2*p**2 + 33*l**2 - 35*l*p**2 - l + 2547 with respect to p.\nAnswer: -86738*l**2*p - 70*l*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}