diff --git "a/data/dm_maths/full_data_2/10506_11255.jsonl" "b/data/dm_maths/full_data_2/10506_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10506_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Is 26539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 3*k = -2*y - 24, 2*y + 10 = 0. Let x(w) = w**2 + 6*w + 1. Let c be x(k). Calculate the highest common divisor of 72 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 93 - 91. Suppose l*v + v - 93 = 0. What are the prime factors of v?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (4*18\/360)\/(2\/160)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 73*i - 358. What is the hundreds digit of o(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51292?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 16 = -3*r - 7, -2*z = 4*r - 26. Let u(x) = 66*x**3 + 5*x**2 - 9*x - 3. Is u(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005876774 rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**2 - 14. Let r be s(0). Let z(w) = -w - 14. Let j be z(r). Suppose j - 2\/3*o**2 + 2\/3*o = 0. Calculate o.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - w**2 - w. Let x(t) = 2*t**3 - 2*t**2 + 16*t + 9. Let r(d) = -3*c(d) - x(d). Calculate the remainder when 129 is divided by r(-6).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**7*s)\/(s*s*s**2))**20 assuming s is positive.\nAnswer: s**100","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m - 3*m**2 + m**3 - 2*m**4 + 105 - 103 - 2*m**3 to h*m**2 + g*m**4 + q + i*m**3 + n*m and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 6 = 5*s. Suppose -5*k - 2*a = -3*k - 2, 0 = k - 3*a - 1. Suppose -2*h - 10 = -0*h. Put s, h, k in increasing order.\nAnswer: h, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*x - 3*x. Let d(h) = h**2 - 6*h + 4. Let o be d(x). Put o, 0, 2 in ascending order.\nAnswer: 0, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - s = 3*s - 3, 0 = -2*n + 5*s. Let q be -2 - ((-87)\/58 - (-14)\/(-4)). Suppose q = -y + n. Solve -y*r = 3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.92 + 0.08. Let m = -77983\/194770 - -15\/38954. Which is the nearest to m? (a) 2\/7 (b) j (c) 8 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152*n - 329*n + 52*n + 58*n - n**3 + 67*n.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 511106 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a year in months?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 54 = 3*b. Suppose g = 3*g - b. Calculate the remainder when 1017\/g - 2\/(-6) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6034 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -5*c - 125. Let z be l(-25). Let w be (0 - (z - -5))*292\/(-365). Solve 0 = 5*f - w*f - 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44 - (-78508)\/1786)*(-12 + 11).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22858973?\nAnswer: 22858973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 296*g**5 - 8*g**4 + 87225*g wrt g.\nAnswer: 5920*g**3 - 96*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47 - 45.7. Let z = 1.222 - h. Round z to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.33 times -4\nAnswer: -1.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of u**3\/2 - 11*u**2\/2 + 4*u. Let b be j(5). Calculate the greatest common factor of b and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -4. Let o(h) = 2*h + 38. Let v be o(-17). Calculate the greatest common factor of x and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -12*x + 62. Let q be s(5). Solve q*d - 4*d = 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -29*t - 13. Let a(x) = 4*x**2 + 10*x + 14. Let z be a(-6). Let r = z - 105. List the prime factors of b(r).\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 57 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 456 and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*p = -1488 + 1592 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/5)\/l**10)\/((l*l**(-5\/2)*l)\/(l**(-3\/8)\/l*l)) assuming l is positive.\nAnswer: l**(-387\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tqo when three letters picked without replacement from {i: 1, q: 1, d: 1, w: 2, t: 1, o: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 i when four letters picked without replacement from {l: 10, z: 3, i: 4, x: 1}?\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*q - 117 + 33 = 0 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - 24\/(-14) - 3. What is the closest to p in 2, -1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 206845\/24 + -8617. Calculate the common denominator of -13\/10 and v.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v\/v**(-5)))\/v**0*(v\/(v*v**(-3)))\/((v*v\/v**0)\/v) assuming v is positive.\nAnswer: v**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/18, 2, 19, 2.6, 1\/5, 0.4, -14\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.704 - 2.3. Let i = 0.58358 + w. What is i rounded to three dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q = -25*q + 60. Calculate the remainder when -4*(-2 - 21\/4) is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -56 - -3739 - (-8 - 3) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64c4 (base 15) to base 6\nAnswer: -242434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k. Let m(x) = 786801034*x. Give a(m(j)).\nAnswer: -786801034*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**2 - 2*o + 46604. Let u(s) = -161*s. What is y(u(x))?\nAnswer: -51842*x**2 + 322*x + 46604","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -21, -124872, 3.\nAnswer: -124872, -21, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + -2 + 0\/3)*58. Suppose -k*x - 715 = -63*x. Does 27 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184\/23*(-7)\/(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**4 - 10*h**3 - 75*h**2 - 20*h + 100.\nAnswer: 5*(h - 5)*(h - 1)*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from hrrhrhhhhrrhr?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.03 or 21708514?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, f: 3, a: 1, d: 3, b: 1}. What is prob of picking 1 b, 2 f, and 1 d?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -386.1 - -360. Let b = -28 - m. Let t = b + -0.1. Which is greater: -1 or t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1682 - 2337 = -224*f - 211 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**2 - 21*h + 631. Determine s(-21).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 5693 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -11*n**3 + 16*n**2 - n - 18. Let u(p) = 5*p**3 - 8*p**2 + 9. Let j(r) = -9*u(r) - 4*y(r). List the prime factors of j(5).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**2 + 11*j - 11. Suppose -204*h + 393 = -423. What is t(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 610 - 605. Solve 32*v - m*v**2 + 30*v + 18 - 19*v = 0 for v.\nAnswer: -2\/5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2926482703.\nAnswer: 2926482703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of -20*(33\/12 + -4) and 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1100 and 1100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 298 - 2*k**2 + 298 - 596 + 3*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**3 - 18*h**2 - 29*h + 14. Let d be l(-8). Let o = 871 - d. What is the hundreds digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2288 by 2911.\nAnswer: -2288\/2911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + 22 + 28 + -4?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35*t**6 + 26*t**4 + 35789*t**3 + 849391250*t**2?\nAnswer: -4200*t**3 + 624*t + 214734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by 96?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-362824)\/(-93))\/(-77) + 58?\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**5\/9 - 278*o**4\/9 + 6142*o**3\/9 - 10378*o**2\/9 - 5600*o\/3 = 0. Calculate o.\nAnswer: -1, 0, 3, 25, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4*q - 1381 = -102, -o - 2*q - 427 = 0. Let r = o + 630. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5560 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-735.107.\nAnswer: 3675.535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - 14. Sort -3\/5, -1\/2, -5, s in ascending order.\nAnswer: -5, -3\/5, -1\/2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 - p**3 - 3*p**3 + 0*p**3)*(-4*p + 4*p + p**2).\nAnswer: -4*p**5 + p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - 4)*2\/(-1). Suppose -f = 2*g + 2*z + 2*z, 2*z = 2*g - 6. Suppose u - 4*u + 126 = g. Is u a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 5*i**3 + i**2 - 6*i + 21. Let v be o(-5). Let x = v + 1250. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + c + 2)*(0 - 5 + 3) - 3*c - 2*c + c + (-3*c + 11*c - c)*(1 - 3 + 0) + c - 3*c + 0*c to s + x*c and give x.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (15\/(-4))\/(18\/48). Let i = 28 + r. What is the remainder when i is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -68*v - 1166. What is y(-17)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -124455462, -124455460, -124455458, -124455456, -124455454, -124455452?\nAnswer: -124455450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/4 - 34\/(-68). Determine v, given that 18 + 12*v + 235*v**2 + 231*v**2 - 464*v**s = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of 15*h**8\/56 + 11*h**4\/12 + 7*h. What is the third derivative of r(b) wrt b?\nAnswer: 1800*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30.252 + 36.64. Let d = z + 2.58. Let s = d - 9. Round s to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 1 + 4102*t - 4101*t + 2. Let o(q) = -q**2 + q - 1. Let u be o(1). Let a be -4 + u\/(2\/2). Determine i(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.04 + -0.22. Let m = f - 0.12. Put m, 0.5, -4 in increasing order.\nAnswer: -4, m, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 673 is divided by 238?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -4*g**2 + g - 1. What is d(2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44191499.\nAnswer: 11, 73, 5003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from 1037807.5.\nAnswer: 1037812.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (((-585)\/(-12))\/(-15)*452)\/((-2)\/2) is divided by 486.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 1 = -2*k, 0*l - 1 = -l. Suppose -4*y + 167 = y - p, 0 = k*y + 2*p - 108. Suppose -4*z + y = 2*b, 2*z - 4*b - 6 = 26. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -6*b - 26. Suppose -2*z - 6*x + 5*x - 11 = 0, -x - 20 = 5*z. Let n(f) = -f. Let v(u) = z*n(u) - h(u). Differentiate v(a) wrt a.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2513512 and 9111481?\nAnswer: 72891848","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -147.37 - 0.63. Let x = 146.86 + h. What is x rounded to one decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 116430 + -116428. Let y = -6 - -10. Suppose -3*x + 32 = y*a, -6 = 3*x - 5*a + 7. Sort -3, 3, x, n.\nAnswer: -3, n, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 8*m - 4. Suppose -2*h + 6 = -4*y, -5*y = h - 2*h. Let d be t(h). Suppose -199 = -5*u + d. Does 24 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6.9 - -8.1. Let z = -18 + a. Is z > 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27094 + 11544. What is i rounded to the nearest one thousand?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 74483 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 - 4 + 4)*(0*w + 2*w - 8*w)*(-8*w**2 - 2*w + 2*w).\nAnswer: 96*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -2*g + 4, 0*g - 2*g - 3*b = -29. Suppose g*j + 3 = 17. Factor 10*w**3 - 5*w**4 + 20*w**j - 2*w - 2*w - 15 - 6*w.\nAnswer: -5*(w - 3)*(w - 1)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*i - 55*i = -3*v - 1342, 4*i - 5368 = -2*v. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2 = p, -2*p + 4 = -0*a - a. Suppose 2*m + p*u - 36 = 0, 2*m + m = 3*u + 66. What is the highest common divisor of 30 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249270 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by 12.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.54753*-3.1.\nAnswer: 1.697343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*k = 52*k - 32. Suppose 7*j = 4*j - 9. Sort k, -16, j.\nAnswer: -16, j, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 7:58 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = -2 + 62. Solve -5*v - d = -p, -p + 2 + 5 = -2*v for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 455371019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 22861292 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: Find the common denominator of 17\/27279 and 22\/63651.\nAnswer: 190953","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -53, -49, -23, 19, 71, 127?\nAnswer: 181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -303?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98460978.\nAnswer: 2, 3, 7, 11, 213119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180265.\nAnswer: 5, 31, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 10*z**3\/7 - 2494*z**2\/7 - 1672*z + 5080\/7 = 0.\nAnswer: -5, 2\/5, 254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - 147. Let x = n - -207. Calculate the greatest common factor of 36 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 7. Suppose l*u - u = -72. Calculate the common denominator of 31\/11 and ((-6)\/8)\/(u\/(-123)).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*r + 3*r**3 + r**4 - 2 - 2*r**3 + 24*r + 2*r**4 as a + j*r**2 + n*r**3 + f*r + c*r**4 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1188 divided by -35?\nAnswer: 1188\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-2)*-1*(-612)\/(-6732).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/294 + -60 + 52778\/(-1078)?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g**2 - 12*g. Let f = -683 + 684. Let n(z) = z**2 - 6*z. Let w(q) = f*b(q) - 2*n(q). Let o(j) = 4*j**2. Give w(o(m)).\nAnswer: 16*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -52*b**2. Let v(w) = -20749*w**2. Calculate d(v(s)).\nAnswer: -22387092052*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 290488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.7182 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -3266?\nAnswer: 2\/1633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4802 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4514 + 478 = -22857*p + 22473*p for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2172, 4329, 6502, 8697, 10920, 13177, 15474?\nAnswer: 17817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 2*u - 102. What is p(11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1211 + 123 + 263 - 487 - 5*i**2 to z + g*i**2 + a*i and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of t**5\/20 - 2*t**4\/3 + 7*t**3\/6 - 3*t**2 - 2*t. Let j be s(9). Let a = -68 + j. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 86054?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 1. Suppose -3*u - n - 25 = -33, 0 = 2*n - 10. Let s(b) = -8*b**3 - 1. Calculate u*q(z) + s(z).\nAnswer: -7*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - 18*z + 18. Is b(-13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*f**2 - 6*f**2 - 34*f**2 + 136*f**2 - 34*f**2 - 19*f**2.\nAnswer: 31*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 22301?\nAnswer: 22304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.1 - -3. What is the closest to -1 in 0.1, -5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 6:18 PM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 1:51 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 3*l + 0 + 29 = 0, 11 = x - 2*l for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 12322.55 times 1.5?\nAnswer: 18483.825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 10355\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -346 and -0.370537?\nAnswer: 128.205802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 456*s**2 + 38*s + 93. Is w(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -75*m**5 - 5670*m**4 + 40377*m**3 + 82932*m**2 - 37836*m + 3936 = 0. What is m?\nAnswer: -82, -2, 1\/5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-32)\/(v**(-3\/4)\/v))\/(v*v\/((v*v**(1\/79)*v)\/v)*v*v\/(v\/((v*v\/v**(-48))\/v))) assuming v is positive.\nAnswer: v**(-25671\/316)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25500?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.181284 months in millennia?\nAnswer: 0.001765107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12 - -8*(-3)\/6. Let m = -13 + h. Suppose -4*g = r - g - 6, -5*r = 5*g. Sort r, 3, m.\nAnswer: m, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkkkkk. Give prob of picking 3 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 minus 959.1391?\nAnswer: -959.1591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 337 - 148. What are the prime factors of j?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-6)*u*u\/(u**12*u) assuming u is positive.\nAnswer: u**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 2*g**2 + 4*g - 3. Let s be v(2). Suppose -5*w - 3*n + 12148 - 703 = 0, -2*n = -2*w + 4594. Let j = 2289 - w. Sort j, s, -4 in ascending order.\nAnswer: -4, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.04 + 0.26. Let q = 1166 - 507. Let l = 656 - q. Which is the second smallest value? (a) -22 (b) 1\/2 (c) l (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p = -10*p + 3360. Suppose -p*x + 144*x = -6400. What is the greatest common divisor of 16 and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 831 - 587. Suppose 2*n - a = 4*n. Let g = 172 + n. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16494 + -16484. Put -0.6, 3, o, 1 in increasing order.\nAnswer: -0.6, 1, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -857\/5 or -172?\nAnswer: -857\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 112221112102102122?\nAnswer: 112221112102102202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -195609, -195626, -195677, -195780, -195953, -196214, -196581?\nAnswer: -197072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1, -3, -2\/17, -0.1, 330, 24?\nAnswer: 330","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 530887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -129 - -129. Let a be ((-36)\/(-21))\/(j - (-4)\/14). Calculate the highest common divisor of a and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1aab - 43ea?\nAnswer: -5e95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + (sqrt(171) + sqrt(171)*-5 + sqrt(171))*-5)\/(sqrt(576)*-4).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1bd1e (base 16) to base 6\nAnswer: -2235314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 82633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 8 = -k, -z - 399 = -3*k - 320 for k.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63, -58, -53?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 + -5 + 9 + 7 - 10) + 2 - 8?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 15) in base 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 5*b. Let p(x) be the third derivative of 7*x**5\/60 + 43*x**3\/6 - 2*x**2 - 143*x. Determine p(k(t)).\nAnswer: 175*t**2 + 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 14*h**3 + 8*h**2 - 21*h + 6. Let j(v) = 9*v**2 - 49*v - 50. Let c be j(-1). Let p(g) = -5*g**3 - 3*g**2 + 7*g - 2. What is c*p(m) + 3*r(m)?\nAnswer: 2*m**3 - 7*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5293313 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 11.64*0.3\nAnswer: 3.492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-2 + -1*sqrt(112) + 1)**2 + -1).\nAnswer: 40*sqrt(7) + 560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - 1. Calculate the remainder when 48 is divided by 2 + -1 + (-18)\/u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96117 is divided by 32033.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 108151319 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 32 = 5*j, -8169*w - 12 = -8166*w for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p + 2*x = 26, 6*x = 36*p - 38*p + 2*x + 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + 13 + -1 - -1. Let i = -7 + h. Find the second derivative of -2*j**3 + 0*j**3 + i*j - j wrt j.\nAnswer: -12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1428174 is divided by 55?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 81734039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*3*(-18)\/(-72).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -190281*j**4 - 4*j**3 + 2228*j**2 + 264*j wrt j?\nAnswer: -4566744*j - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 2 z, and 1 m when four letters picked without replacement from zbmxmzxb?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -418 + 353 = -13*p. What is the least common multiple of 26 and 1\/p - -86*(-27)\/(-90)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/30 - (-13)\/(195\/(-6)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 100001000110000001 (base 2) to base 14\nAnswer: 37585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*1 - (-16 - 1296). What is the units digit of u\/9 + (-16)\/24?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143250363.\nAnswer: 3, 1768523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 572 and 67980?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2327*n + 2894*n + 2882*n - 3441*n.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 - -36. Let z = 2 - 2. What is the biggest value in 1\/5, z, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7922*o + 8*o**3 - 3964*o - 3958*o.\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1114*o + 6912 - 228 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r + 2*r + r + (-3 - 1 + 6)*(-4*r + 3*r + 3*r) + 3 - 3 + r - 82 - 326 - r + 191 as u*r + c and give c.\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.36 + -4.68. Let z = 11 + r. Is 3\/4 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 49\/4 of a millennium?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 201 = p - 2*p, 0 = 4*v - 2*p - 186. Suppose 4*y - 32 = 5*m, 5*y - 4*m = -0*y + v. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 14. Let h(r) = -r**2 - 3*r + 6. Let a be h(l). Let k = a - -21. Calculate the highest common divisor of k and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2388 a factor of 329486688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -60297443.000027 - -60297483. Let h = -0.46 + 40.46. Let s = o - h. Round s to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 170*s**3 + 312*s - 105*s - 94*s - 2*s**2 - 113*s as z*s + p*s**2 + w*s**3 + h and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from btdno. Give prob of sequence tond.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.0160111 kilograms?\nAnswer: 16.0111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -1, 4 in descending order.\nAnswer: 4, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 149851 and 11908.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((14 - 11) + 14 - 46) + 7 + 2 + 5.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-4))\/(-1)*((-50737)\/1347 + 0 + -13)\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -15.827*0.0015\nAnswer: -0.0237405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-6)*(0 - (0 + -4)). What is the common denominator of 637\/168 - 1\/(v\/8) and -89\/18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -11*v. Let n(q) = 3*q + 11. Calculate n(a(h)).\nAnswer: -33*h + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -216410 or 218?\nAnswer: 218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 597 + -469. Suppose -13 = 3*y - 4*y - 4*w, -4*y + a = -3*w. What is the remainder when 115 is divided by y?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*z + 34*z + 32*z**3 - 37*z**3.\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/sqrt(4) + 1 + sqrt(11) - (sqrt(99) + sqrt(11))*5)**2.\nAnswer: -36*sqrt(11) + 3565","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 368 and 72630032?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 6, r: 1, m: 5, a: 1, k: 1}. Give prob of picking 2 r, 1 k, and 1 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of -x**6\/360 + x**5\/40 + 49*x**3\/3 + x**2 + 24. Let g(p) be the first derivative of h(p). Determine c, given that g(c) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3 = 49. Let l be 2244\/16 + 2\/(-8)*1. Suppose -3*z + i*z - l = 0. Calculate the highest common factor of 21 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + x + 5. Let b = -44 + 38. Let k(y) = -y**3 - 7*y**2 - 2*y + 24. Let q be k(b). Give s(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.11, 1\/13, 0.5, -0.0792, 3?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*r + 2734 = 2518 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -2. Let z be 0\/i - 42\/(-3). Suppose u = -u + z. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 9*l**2 + 211*l - 1948. Let r be y(9). Calculate the highest common factor of r and 640.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (7\/1)\/(2\/(-4)). Let g = -31 - d. Is 5 a factor of (-1 - g)*9\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3571\/69575 + -1\/575. Find the common denominator of z and -40\/77.\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1*3)\/(11 - (9 - -1)). Suppose -3*q - 8*c - 12 = -4*c, 5*q + z = -c. What is the second smallest value in q, -2\/11, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104020196 to the power of 1\/2, to the nearest integer?\nAnswer: 10199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41 - 41. Let v = 64 + q. Is v a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 + 19. Let u be (-1 - (-3 + 2)) + l. Suppose -u*p - 2*h + 4 = 0, p + 4*h = 6*p - 1. Which is greater: -1\/15 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 2*h + 41 = 0, 5*f - 6*f = h + 15 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 69.802 and 132.39548.\nAnswer: 202.19748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 17 + (25 - (8 + 18 - 19))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1056499?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 3:19 PM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/42817 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/498 and 19\/387112?\nAnswer: 1161336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 342, 344, 346, 348, 350, 352?\nAnswer: 354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*i + m, -7*i + 4*i - m = -20. Suppose 3*d - 90 - 309 = 0. Suppose -t = -i*p - d, -131 = -t + 4*p - p. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 433517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -382 in 7, 6, -4\/95?\nAnswer: -4\/95","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25117.\nAnswer: 25117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 45\/(-20) - -2 - 393\/12. Let r = c + 24. Which is greater: r or -12?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of f**6\/30 + 11*f**4\/12 - 331*f**3\/6 - 383*f**2. What is the derivative of o(n) wrt n?\nAnswer: 12*n**2 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + 21 - 86 + 20 + 18*p**2 + 26.\nAnswer: 18*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 i when four letters picked without replacement from {l: 1, g: 1, x: 2, i: 1, v: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -291*u**3 - 255*u**3 - 889*u**3.\nAnswer: -1435*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 547 - 54. Let q = 558 - c. What is the highest common factor of 5 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*t + 66068 - 65996 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a - 329 = -2*a. Suppose 108 = -4*g - 4*i, 5*i = -3*g + 36 - 117. Let t = g - a. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4085557 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -18922000 rounded to the nearest one million?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, p: 1, v: 1, m: 2, u: 7, y: 2}. What is prob of sequence wpy?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 70 - 66. Let r be 54*((-3)\/6 + 2). Suppose o*g - r = g. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 5:52 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 6:56 PM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8531, 12166, 10909, 4760, -6281, -22214?\n\"Answer: -2446*j**2 + 10973*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 9*o - 3. Let g be k(-9). Let x be (0\/(-2 - g))\/(-1). Suppose -4*t + 184 - 44 = x. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 4*j + 27 = 0, 2*j + 15 = 3*v + 4*j. Solve -2*n = l + v*n + 23, -4*l + 5*n = -33 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 4 + 2 + (-38 - -1 - 3) - 6?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21231200 - -3?\nAnswer: 21231203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1474 + 556 = 14*q. What is the remainder when q is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 3 = -0. Let t be -148*-3*s\/6. Suppose -q + 2*q - 2*r = 26, -5*q - 4*r + t = 0. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 15 = q. What is the remainder when 42 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -799140231125*l**2 + 683632350*l - 146205 = 0.\nAnswer: 171\/399785","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*1*-4 - -2*sqrt(77)*-6)\/(sqrt(44)\/(1*sqrt(4)) + sqrt(22)\/sqrt(2)*-5).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**2 + 12*h - 2. Let i be t(5). Let w(o) = 3*o - i*o + 8*o. Let l(u) = 1. Let b(m) = -3*m**2 - 9. Let a(f) = -2*b(f) - 18*l(f). Determine w(a(s)).\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 34543727497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10012101231103 - 0?\nAnswer: -10012101231103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5638000 rounded to the nearest 100000?\nAnswer: -5600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2813\/2 + -5625\/4. Let a be (-1)\/2 - 0 - -1. Let -r**2 - a + 5\/4*r + t*r**3 = 0. Calculate r.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -2\/3775511?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (7 - (2 - (-5 - 7))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 1\/8 (c) -1\/2 (d) 4 (e) 7 (f) -1\/1514\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i\/i**(-5)*i))\/i**(9\/2))\/(i**1\/i*i\/i**(-10)) assuming i is positive.\nAnswer: i**(-41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -49*s**5\/20 - s**4\/12 - s**3\/6 + 2*s. Let d be a(1). Round d to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -93*r + 1. Let l be t(-6). Let h = -311 + l. Calculate the highest common factor of h and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15240915.\nAnswer: 3, 5, 338687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3566491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/4291899 and -19\/519.\nAnswer: 742498527","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -15 + 13 + -10 + 10.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27622 = 16*g - 2*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 5, -120 in descending order.\nAnswer: 5, -1\/5, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -89*h**2. Let q(a) = 29*a**2. Determine 17*q(x) + 6*s(x).\nAnswer: -41*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14592 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 y when two letters picked without replacement from {s: 2, j: 6, m: 1, z: 2, y: 6}.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 240, 241, 242, 243, 244?\n\"Answer: b + 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, w: 2}. What is prob of sequence iiii?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 6 times 26363\nAnswer: 158178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-2\/3)*(f\/(f**(-10)\/f))\/f assuming f is positive.\nAnswer: f**(34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 564808868 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b - 14. Let d be t(6). Let a(g) = 6 - 5 - 4*g**2 + 2*g - 3 - 2. Let f(m) = 0*m - m - 2*m - 6 - 6*m**2 + 6*m. Give d*a(c) + 5*f(c).\nAnswer: 2*c**2 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u + 3*u - 627. Suppose v - 2*v + 41 = -l, 5*v - 4*l - u = 0. Let b be (v\/10)\/(3\/16). Calculate the highest common factor of 16 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 5*y + 3. Suppose -6 + 39 = -11*t. Give z(t).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -131 divided by -6?\nAnswer: 131\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 433514069?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 52432 a multiple of 232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -1849*d. Let o(x) = -3*x**2 - 18*x**2 + 3*x**2 + 13*x**2 + 4*x**2. Give o(p(v)).\nAnswer: -3418801*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3657037282?\nAnswer: 2, 67, 27291323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2187\/15*(8 - 3). Calculate the greatest common factor of s and 162.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -13*a - 18. Suppose 2*b = 5*b + 12. Let k be c(b). Calculate the highest common divisor of 17 and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 20 = 2*j, 11*v - 92 = 7*v - 2*j. Suppose 0 = 3*g + 3*d - 9, -d - 4 = -3*g + 17. Calculate the greatest common divisor of g and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(24\/13)*y*y*(y*y\/y**(7\/10))\/y*(y*y*y**32*y)\/y**(-31) assuming y is positive.\nAnswer: y**(9119\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 8 = 4*i. Suppose -w + 20 = -i*o, o + 75 = 3*w + 4*o. Suppose 3*t - w - 9 = 0. Solve a = 2*b - t, -5*b = -a - 3*a - 32 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 7252201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6\/(-15) + 5\/(100\/3608).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 151 = 15*a - 11*a, -4*a + 5*i = -147. Does 19 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -38.\nAnswer: -38, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 9*x - 45. Find the second derivative of x*n - 2*n - 38*n**3 + 35*n**3 + 0*n wrt n.\nAnswer: -18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -112*l - 72. Let u(v) = 3. Let g(i) = -k(i) - 24*u(i). Let m(w) = 2*w. Determine m(g(h)).\nAnswer: 224*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2)*(i\/i**(-30))\/i assuming i is positive.\nAnswer: i**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 7*q - 35. Let n(u) = -u. Let p(l) = 2*d(l) + 10*n(l). Let a be p(26). Suppose a = 2*f + 8. Solve -4*r - c = f, r = 2*r + 3*c - 5 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1019\/32 + 127\/4. Let h = c + -17\/160. Let z = 0.1 - 3.1. What is the closest to -0.2 in z, -0.5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8510 rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*b**2 - 5*b**2 + b**2 - 3*b**2 - b**2 - 156*b + 3.\nAnswer: 2*b**2 - 156*b + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 68 + -73. Let a(n) = -5*n - 3. Let l(w) = -1 - 2 + 9*w + 8. Let d(f) = x*a(f) - 3*l(f). Let m(v) = 4*v. Calculate m(d(i)).\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 14*f**2 - 17*f - 5. Let w be v(3). Suppose -o - 3*n = -10, -w*n = -72*n + 6. Solve 2*y - o = 7 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37120861 and 19093.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2645 or -8406?\nAnswer: 2645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -l**11\/1995840 + l**9\/362880 + l**5\/10 - 2*l**2. Let s(v) be the third derivative of r(v). Factor s(z).\nAnswer: -z**3*(z - 1)*(z + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242*w + 269 = -26*w - 1459 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24950*m**2 + 6754*m.\nAnswer: 49900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1814719223 and -0.04.\nAnswer: -1814719223.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12280\/(-8596))\/(3\/(-14)*(6\/63)\/1).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.128498 nanometers?\nAnswer: 0.000000000128498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -341518 (base 13) to base 6.\nAnswer: -42215534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (-3 + 3)*-1. Let w = -0.02 + 2.02. Suppose 3*y - 3 = 9. Which is the closest to 0? (a) y (b) w (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - j + 123 = 5*a, 5*j = -4*a + 164. Let g be 1 + 0 + 1 - -1. Suppose 142 = g*w - a. List the prime factors of w.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (16 - 4 - 6 - 9 - 2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05 - 973.\nAnswer: -972.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.592912533 to 4 decimal places.\nAnswer: -0.5929","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 254 a factor of 26552391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -22 (b) 0.5 (c) -0.4 (d) -3\/239\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -45639 - -47669. What is the remainder when b is divided by 185?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-164)\/(-340) - (-3)\/(-5). Let s = 41\/14 - 3\/7. Which is the second smallest value? (a) -5\/2 (b) y (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -15*b - 1. Let g(v) = 16*v. Give g(w) + 2*y(w).\nAnswer: -14*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 3 + 2)*(6*y**3 - 4*y**3 - y**3) + (-177*y - 210 + 210)*(4*y**2 - 4*y**2 + y**2).\nAnswer: -179*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (93*w + 77*w - 3 - 172*w)*(-4*w + 3*w + 3*w).\nAnswer: -4*w**2 - 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3 (b) -0.16 (c) 361 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1873 - -6880. Suppose k = 29*b + 657. What is the highest common factor of 30 and b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4209500 and 2000?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23330131 (base 4) to base 6.\nAnswer: 1014301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -32745 minus -691?\nAnswer: -32054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d + 0*d + 2*d**5 + (-2 - 2 - 5)*(-2 + 2 + 3*d)*(-2*d**4 - 3*d**4 + 4*d**4).\nAnswer: 29*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -0.05.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -4*p + 1. Let y(g) = 9*g - 1. Let t(m) = -18*m + 2. Let b(q) = -3*t(q) - 5*y(q). What is -2*b(s) - 5*h(s)?\nAnswer: 2*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19892979?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -200469 (base 14) to base 7\nAnswer: -12102362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**2 - 3260 + 19020 + 70539 + k + 20638.\nAnswer: -4*k**2 + k + 106937","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, v: 3}. Give prob of sequence vsv.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0457 in 12, 0, 463?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.939 - -0.839. What is the fourth smallest value in -2\/7, 0, 5\/2, m?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110200 (base 3) to base 15.\nAnswer: 17c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 1 = -o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 218\/(-436)*1*8*54\/12.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -4 + 16*v**5 + v**3 + 753*v + 3*v**3 - 757*v + 20*v**2 - 32*v**4 = 0?\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y - 6. Let s be 32\/(-5) - 8\/(-20). Let k be z(s). Solve 3*u + 2*u = k for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2*x = -p + 824, 0 = 2*p - 3*x - 1623. Is p a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 8556246.\nAnswer: -8556246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37836?\nAnswer: 2, 3, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and -7045332295.42.\nAnswer: -7045332295.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011010 (base 2) to base 9.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -169954\/11 - -15474. Let w = -21602\/913 + v. Let f = w + -1241\/166. Calculate the common denominator of -39\/22 and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -722*b**3\/7 - 281868*b**2\/7 - 27566370*b\/7 - 10951200\/7 = 0. Calculate b.\nAnswer: -195, -144\/361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 432400 divided by -5?\nAnswer: -86480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + 470 = 2*u + 5*v, 2*u + 3*v - 445 = 0. Is 9 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -20010202?\nAnswer: -20010121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50)\/(1000\/(-6660)))\/9.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 250 - 244. Suppose 5*l - 16 = -2*m, -2*l - g*m + 13 = -3*m. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g, 12 = 108*b - 106*b + 3*g. What is the remainder when 196 is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1416 - 4250\/3. Which is the nearest to 5? (a) 0.5 (b) -1 (c) g (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7615 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 102\/(-148)*79\/(-158) and -79\/4?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 84 + 112 = -3*z + 64, z - 8 = 3*f for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6621529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 480725190 and 115698.\nAnswer: 480725190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 2*i**2 + 3*i - 4. Let n be o(2). Solve n*j + 3*u - 4*u + 7 = 0, 3*j = -3*u - 24 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + c - c)*(12 + 20 - 1).\nAnswer: 62*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-73 + 54 + 8 + -3 - -84).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -48 + 86. Is n a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -5 and -98\/23 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 5*c**2 - 18*c - 8*c**2 + 5*c**2 + 10 - 2*c - 3*c**2. Determine s(-13).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -813192*s**3 + 229799*s**2.\nAnswer: -4879152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1254 and 8.\nAnswer: -1.0032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/8 and -111\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 8128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-2*2\/180). Let z = 67 - w. Let h be -22*(2 + 0 + -4). Calculate the greatest common factor of z and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 0.027.\nAnswer: 0.0108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -30 + -3?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2*(5 + (sqrt(72) - (0 + sqrt(72))) + sqrt(72) + 1*sqrt(72) + sqrt(72) + -1) - 1*(3 + (sqrt(72) + 0 + sqrt(72) - sqrt(72) - sqrt(72)))*-2))**2.\nAnswer: 144*sqrt(2) + 2596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 199 divided by 24?\nAnswer: 199\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + c + 1. Let s(x) = 117*x - 4564. Let d be s(39). Let i = -5 + 1. Let q(v) = -9*v**2 - 4*v - 6. Calculate d*q(k) + i*o(k).\nAnswer: 5*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 444 = 5*f - 2*i, 0*f = -f - i + 86. Let m be 6\/9 + f\/(-114). Is m <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3313286 divided by -376?\nAnswer: -1656643\/188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2 = k, 2*x + 1 - 7 = k. Let t be (-1 - -7)*-1*(-2)\/3. Let o be t - (-2 - 2\/k). Solve -o = -i + 2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 8*i - 10*i - 4*i.\nAnswer: -22*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 0.055 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 3, 51 in descending order.\nAnswer: 51, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -22542?\nAnswer: -22540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1441 (base 13) in base 4?\nAnswer: 231232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-12)\/16)\/3)\/(-1)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5894 - -35485\/6. What is the common denominator of x and (3\/4)\/((-3)\/10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 x, and 1 t when three letters picked without replacement from {r: 1, x: 1, j: 6, t: 7}.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -83*j**3 + 5*j**2\/2 - 16*j - 1233. What is the second derivative of g(d) wrt d?\nAnswer: -498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -0*u - 18. Let z be ((-174)\/(-5))\/((363\/110)\/11). Suppose 9*b = z + 10. What is the smallest common multiple of b and u?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16571 and 8626.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 374 is divided by 101.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 9*j + 14.\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 5, 3\/7, -6, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/33 and -25\/293454?\nAnswer: 3227994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40*w**5 + 198909*w**3 - 66194244*w**2 wrt w?\nAnswer: -2400*w**2 + 1193454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of -u**6\/24 - u**4\/12 + u**3\/6 - u**2 + 23*u. Let i = 0 - -1. Determine f(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 946747554?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -160*p - 1762*p**4 - 252*p - 410*p - 606*p wrt p?\nAnswer: -21144*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*l**3 - 18467*l**2 + 369*l + 18467*l**2.\nAnswer: -36*l**3 + 369*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**11*v*v**(2\/9)\/v)**(-21\/4))**44 assuming v is positive.\nAnswer: v**(6776\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.016 - 600757817.\nAnswer: -600757816.984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away 0.95614238?\nAnswer: -1.45614238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h. Let i(q) be the third derivative of 153*q**5\/20 + 209*q**2. Calculate v(i(m)).\nAnswer: -459*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j - 4. Let f be i(-4). Let y be 1*f*55\/20. Calculate the greatest common divisor of y and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1161 + 1186 - 61*v - 2381 as i*v + q and give q.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32 + 35. Suppose -11*q + a*s + 58 = -10*q, -277 = -4*q + 3*s. What is the highest common factor of q and 803?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -4*u + 2*u - 16, 3*u + b + 13 = 0. Let h = -1 - u. Let y be ((-12)\/h)\/(-1 + 0). Solve 10 = s - y*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.35 equal to 183663?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-28)\/(-224))\/(0 - 3\/(-8)). Let s(a) be the first derivative of z*a**3 - 5 + a + 7\/2*a**2. Give s(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1458043993?\nAnswer: 7, 208291999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one quarter of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (l**3 - 1 + 1)*(3*l - 4*l - l) + 2*l - l**4 - 2*l + 5*l**4 + 6*l**4 - 2*l**4 in the form p*l**2 + v*l**4 + h*l**3 + k + d*l and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 165*h**3 - 459*h**3 - 1146*h**3.\nAnswer: -1440*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42512 and 12.\nAnswer: 127536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - b**2 + b + 4. Determine g(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 626*m**3 + 8*m**2 + 7*m - 1. Calculate k(-1).\nAnswer: -626","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -0.070928 (b) -2\/19 (c) -8.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 7 = -4*f, -18*f - 5*d - 410 = -351 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/2 (b) -0.57 (c) 0 (d) 5\/3 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y + 11. Let j = 249 + -255. Let z(r) = r**3 + 7*r**2 + 5*r + 2. Let d be z(j). Determine t(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 4*f. Let q be v(1). Suppose -s - 4*r + 13 = 0, s - q*r - 2 + 5 = 0. Solve 0*d = 5*d - s for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 - -234010?\nAnswer: 234021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3510*s - 3323 - 14182 = 3773*s - 673 for s.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 2\/59653?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 9 = -m - 4*p, -4*m - p = 9. Is m\/(3 - 9)*322 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 37, 29, 17, 1, -19, -43?\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8436 - -8454. Solve 10*h - p = 7*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (563*n - 264*n**3 - 563*n)*(2*n - 3*n - 4*n)*(2 - 7 + 2) in the form g*n**2 + f + l*n**4 + s*n**3 + i*n and give l.\nAnswer: -3960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 2*j = -24. Let q be ((-176)\/8)\/(((-4)\/j)\/1). Calculate the greatest common divisor of q and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -13*k**8\/28 - 35*k**4\/3 + 2*k - 31. Find the third derivative of v(q) wrt q.\nAnswer: -3120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 12:32 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hcchzcwzlh. Give prob of sequence ccw.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 19280 divided by -241\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-246)\/(-205) + ((-4303)\/65 - -3) - -2.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 7*n + 26. Let p(v) = 2*v + 6. Give -9*p(k) + 2*w(k).\nAnswer: -4*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z + 30173 = 106991. List the prime factors of z.\nAnswer: 3, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2212221220 - -111?\nAnswer: -2212221102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 51, 43, 13, -51, -161, -329, -567, -887?\n\"Answer: -2*i**3 + i**2 + 3*i + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 6:19 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -112 + 128. What is the highest common factor of 64 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4689 divide 917721702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, 2\/17, -2, -0.3 in increasing order.\nAnswer: -39, -2, -0.3, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-2))\/(24\/(-48))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19406 and 279.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4*u. Suppose 3*x - 4*x + 9 = u. Calculate the highest common divisor of 36 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.01 - 2.01. What is the second biggest value in 0.1, g, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107119?\nAnswer: 107119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 10, -4, 17.\nAnswer: -4, 5, 10, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23.34 + 23.74. Let v = 6 + -12. What is the closest to -2\/3 in 2\/11, s, v?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x + 8. Let z be q(7). Let i be (-5)\/z + (-19)\/(-3). Suppose 0 = 4*s + i - 46. What is the remainder when s is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g. Let y be i(-1). Let h(p) be the first derivative of -7*p**2\/2 + 8*p + 353. Let l(m) = m - 1. Give y*h(r) + 5*l(r).\nAnswer: -2*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -249550 to the nearest one thousand.\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 0.3, -3, 5.\nAnswer: -3, 2\/9, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -1. Let b(z) be the second derivative of z**6\/90 - z**5\/120 - z**4\/24 + 5*z**3\/2 - 9*z. Let x(m) be the second derivative of b(m). What is x(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*s - 35 = -395. Suppose -3*j + 3 + 6 = 0. Find the second derivative of 21*h**3 - s*h**j + 6*h - 22*h wrt h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.185 * 0.034.\nAnswer: 0.00629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 266891435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m**2 - 27*m + 2. Give x(-10).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 147605429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, v: 4, p: 1, o: 2}. What is prob of picking 2 v and 1 x?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6345 is divided by 2115.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 5*z**2 + 4*z + 23. Let c be g(-5). Find the second derivative of k**2 + 367 + 30*k - 367 - 27*k**c wrt k.\nAnswer: -162*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41 - 15. Let t = -38 - u. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 92 or 93?\nAnswer: 92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3809179.12 rounded to the nearest one hundred?\nAnswer: -3809200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.210191 to 2 decimal places.\nAnswer: -1.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 70978 = -23652. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbbb. What is prob of sequence bbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*b**2*l**2 + 50*b**2*l - b**2 - 60*l**2 - 2 wrt l.\nAnswer: 6*b**2 - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 12:32 PM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5*(1088\/80)\/17. Which is the second biggest value? (a) d (b) 0.3 (c) 54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q*q**(1\/5)*q)\/q**8)**(5\/11))**(-39) assuming q is positive.\nAnswer: q**(936\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 11 = -7. Suppose 2*i + t + 1 = 7, -3*i + 3*t = -u. Put i, 1, 46 in descending order.\nAnswer: 46, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1712133 divided by -677.\nAnswer: 2529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 29 = -m, -2*m - 2*m = -2*h + 60. Let y = 0 + m. Let a = y - -19. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.64 - 0.04. Let c = -3.1 + r. What is c rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (40\/35)\/((-2)\/(-7)). Let a be 42\/15 + 8\/d. Factor -156\/5*u**2 + 0 + 75*u**5 + 15*u**4 - 54*u**3 - a*u.\nAnswer: 3*u*(u - 1)*(5*u + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, 42, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**5\/4 + 3*x**4\/4 - 3*x**3\/2 - 2*x**2 = 0. What is x?\nAnswer: -4, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3402 (b) 0.4 (c) -10 (d) -2\/3 (e) -4\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 9*t**2 - 33*t - 114. Suppose 0*b = -5*b + 25, -m - 1 = 2*b. Let l be f(m). Solve -l*u + 1 = -6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 817.1402 and 0.1.\nAnswer: 81.71402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/3, -2, 1, 35, -2\/15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of 10*i**7\/7 - i**5\/10 + 4*i**3\/3 - 3*i**2\/2 + 147*i. Find the second derivative of q(l) wrt l.\nAnswer: 1200*l**3 - 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9732007?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 - 35 = 3*p. Let f = 66 + p. Calculate the smallest common multiple of 7\/f - 19\/(-4) and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s + 3272 - 347 = 0. Let h = s + 246. What are the prime factors of h?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 1 = -2*g - 3*l, -2*l = 2. Let m = -3154 - -3158. Solve 0 = -g*z - 2*x + m, 2*x = z + x for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 160854 (c) 4 (d) -0.1 (e) 0.065\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20522689 + -35401637369\/1725. Let s = n + -2\/575. Suppose 0 + s*r**3 + 0*r - 1\/3*r**2 = 0. What is r?\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 816212732 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12615846, 12615847, 12615848, 12615849, 12615850, 12615851?\nAnswer: 12615852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - 8*i - 2. Let u(q) = q**2 + 12*q + 3. Determine 8*a(b) + 5*u(b).\nAnswer: -3*b**2 - 4*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 637 and 182.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*g - 191769 + 9*g**2 + 94*g**2 + 191763)*(-6 + 6 + g**2).\nAnswer: 103*g**4 - 11*g**3 - 6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a537 - -4c?\nAnswer: -a4c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**3 - g - 1. Let b be (-1 + 0)\/((-1)\/(-1)). Let x be f(b). Does 14 divide 4*9 - (3 - x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 436860706?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 78*g**2 - 3*g - 9. Let m be y(-7). Suppose -c - 3469 = -5*z, -c - m = 5*z - 335. Is (-4)\/(-6) + c\/(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 2*h. Let k = 10 - 7. Suppose 0 = w + k*w + 24. Let d be w\/(-2) + 3 - 3. Calculate s(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1977232 is divided by 1734.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/1 + -6 - -2373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(85) + sqrt(85) + sqrt(85) + 4*(sqrt(85) + sqrt(85) + sqrt(85) + -2*sqrt(85) + sqrt(85)))\/(2*sqrt(500) - sqrt(500)).\nAnswer: -22*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1611.298 centuries?\nAnswer: 161.1298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7022 is divided by 1733.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = p + p. Let a = -60 - -84. Calculate the greatest common factor of p and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/6)\/i)**(-41)*(i*i**(1\/2))\/((i\/i**13)\/i))**(-18\/5) assuming i is positive.\nAnswer: i**(-876\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2006394 is divided by 59.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 31944832213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**5 - 389*j**4 - 14579769*j**3 + 23433788417*j**2 + 14579768*j - 23433788028 = 0.\nAnswer: -4287, -1, 1, 2338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14579 - -46ab?\nAnswer: 19068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 10205\/168, 0.4, -2\/3, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.703 rounded to 1 dp?\nAnswer: 19.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**3 - 5*a**2 + a + 8. Let d(i) = -i**2 - 6*i - 1. Let v be d(-5). What is the units digit of p(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 382868018 a multiple of 162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-76*z + 47*z + 31*z - 4*z**2)*(-1 - 3 + 0).\nAnswer: 16*z**2 - 8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 645 - 633. Solve 26*l - 30*l - j = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 2:59 PM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/27 and -95\/24.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ikcc when four letters picked without replacement from {c: 9, o: 4, i: 1, j: 1, k: 2}?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.96 - -0.04. Let k(f) = -f**3 + 3*f**2 + 3*f. Let v be k(4). Let l = -8.8 + 9. Which is the third biggest value? (a) l (b) n (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/8)*p)**47*((p**1\/p)\/p)**18 assuming p is positive.\nAnswer: p**(185\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**3 - 6*d**3 - 2 - 10*d**3.\nAnswer: -14*d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2612633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 115 and 11730?\nAnswer: 11730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 290579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2108127, -4216247, -6324367, -8432487?\n\"Answer: -2108120*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**3*q**6*q*q**4*q*q\/q**(4\/7) assuming q is positive.\nAnswer: q**(108\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16\/5 + -59\/20. Let p = -343 - -551. Let g = -1667\/8 + p. What is the third smallest value in g, n, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of 0*m**3 + 0*m**4 - 23*m**6 + 0*m**5 - 141\/2*m**2 - 22 + 0*m. What is the second derivative of i(t) wrt t?\nAnswer: -2760*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/49)\/((-41)\/(-287)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from thteetetehttteette. What is prob of sequence ee?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 183.0800751 rounded to zero dps?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ztzztttzzztztt. Give prob of sequence zz.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of -l**5\/60 - 2*l**4\/3 - l**3\/2 - 6*l**2. Is 24 a factor of g(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291 is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 86 and 338797?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 take away -0.0498?\nAnswer: 6.0498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*w + 3*o - 6, -12 = -2*w - o. Suppose 4*g - 300 = -g. Suppose -v + 0*v + w = s, -4*v = -4*s + g. Is 7 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37206 - -9301467\/250. What is the common denominator of j and (-320)\/792 + (-2)\/(-11) + 35\/(-6)?\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 264 = 3*h - v, -5*h + 440 = 5*v. Let z = h - 60. Suppose 0 = -5*j + 3*r + 35, -4*r + 25 = r. Calculate the remainder when z is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -103, 5 in descending order.\nAnswer: 5, 0.1, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1766986 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of n**3*u**3 - 110*n**3 + 117318*n**2*u**3 + 381*n wrt u?\nAnswer: 3*n**3*u**2 + 351954*n**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 2*j + 2*s + 17 = 0, 0 = 5*j - 2*s - 23. Suppose v - 17 = 5*u, j*v - v - 2*u = 10. Solve -2 = v*n - 0*x - x, 5*x = -5*n - 35 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -15*z**2 + 25*z + 6. Give s(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z - 3 = 67. Let p be 5 - z - (0 + 5). Solve -p*x + 8 = -3*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -344 divided by 8.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -84 + 841\/10. Let o = -0.063102 - -0.363102. Which is the closest to 0? (a) v (b) o (c) 0 (d) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*r**3 + r**2 - r**2 + 4*r**3.\nAnswer: -10*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 4*a = 6, 5*w + 15 = 20*a - 15*a for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - 3*b + 4*b)*(-3*b + 3*b - 3*b).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2306 - 36899\/16. What is the third biggest value in g, 0.3, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/917610 and 19\/2920.\nAnswer: 3670440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98880.65 days to milliseconds.\nAnswer: 8543288160000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -64, -40, 5, 10, 3 in decreasing order.\nAnswer: 10, 5, 3, 2, -40, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 116660 and 142196?\nAnswer: 218270860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.5 - -0.6. Let v(c) = -c**2 + 9*c + 4. Let s be v(9). Suppose s*u - 2 - 6 = 0. What is the closest to m in -3, u, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 248 and 9734.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1149 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/50 in 5, 0.1, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-6*((-1 + sqrt(684) + 2 + (sqrt(684) - (sqrt(684) - (0 + sqrt(684))))*1 - (-5*(sqrt(684) - sqrt(684)*-2) + -3))*2)**2.\nAnswer: 78336*sqrt(19) + 18978432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + -9 - (-16)\/256*116. What is the closest to 1\/5 in t, 1, -88, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1613790*0.6.\nAnswer: 968274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 128364 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2803 is divided by 149?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i**2*m**3 - 440967*i**2*m**2 - 150*i**2 + 39*i*m**3 - 141*i*m + 2*i + 409*m**3 + 7 wrt i.\nAnswer: 4*m**3 - 881934*m**2 - 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14 + 34 + 8)*(-z + z - 1 - z) to the form l*z + w and give w.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -43093\nAnswer: 2\/43093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-14))\/((-65)\/(11830\/(-78))*2\/(-1))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1287a (base 15) to base 16.\nAnswer: e79a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 3\/2, -0.1, 0?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 247822 to the nearest integer?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/84 and 71\/91140.\nAnswer: 91140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -81560 less than -3?\nAnswer: 81557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/2 (b) -0.05 (c) 0 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -9*r - 160. Let o be p(-29). Which is smaller: o or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 362998380*y**4 - 22367478*y**2 + 3 wrt y?\nAnswer: 8711961120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 523561799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**2 + 7*n + 44. Let x be g(6). Let y be (-56)\/(-20) - x\/(-70). Solve -4*l = -y*l + 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1034029 to the power of 1\/3, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 79.1 to the nearest integer.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2 + (sqrt(504) + -6*(sqrt(504) - sqrt(504)*1) - sqrt(504))\/((sqrt(8) - ((sqrt(8) - sqrt(200)) + sqrt(8)))*-6 - sqrt(8))*3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -399 >= -266?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.782966 nanometers to micrometers.\nAnswer: 0.000782966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n - 6062 + 22380 - 16318.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - (-4 - -2)*-1. Let v(y) = 394*y**2 - 3*y - 2. Is v(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v**2 + 45*v - 64. Calculate the remainder when 58 is divided by k(13).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/9 (b) -0.2 (c) -1\/2 (d) -2\/13 (e) -2\/21 (f) 17117\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15834554*u**4*z - z - 10358434 wrt u?\nAnswer: -63338216*u**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -7 - 5*t + 7 - 19*t. Let q(f) = -5 + 5 - f. Calculate g(q(y)).\nAnswer: 24*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**2 + 31*v - 17. What is r(14)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -83 - -568. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 31. Let r = 9992 + -9992. Solve r = -0*p + 13*p - b for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*r - 30 - 69. Suppose 101 - 1058 = -r*z. List the prime factors of z.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n + 15*n - 155 = -9*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 544442993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5037 - 3235. Is k even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 11243?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -71086 - -1?\nAnswer: -71085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69.0594*4.\nAnswer: -276.2376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 3:47 AM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1393634*s**5 + 132590626*s.\nAnswer: 27872680*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37 - 22. Suppose -2*b + f = b. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(-220)*4)\/((-18)\/(-846))?\nAnswer: 47\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h**2 + 2*h - 3*h - h)*(-4*h + 6*h**2 + 4*h) in the form r + f*h**4 + b*h**3 + p*h + v*h**2 and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a year in months?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 261321769 to the nearest integer?\nAnswer: 16165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 240, 256, 286, 336, 412, 520, 666, 856?\n\"Answer: i**3 + i**2 + 6*i + 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 305?\nAnswer: 9\/305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 435 divide 818883557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of n**4\/4 + 2*n**3 - 3*n**2 - 10*n + 302. What is j(-7)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2080080 divided by 115560\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9348 a multiple of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nvknvqvnnqkvknvnnnv. What is prob of picking 1 v and 3 k?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -4*y - 30. Let h be g(-9). What is the common denominator of 4\/14 + (-1114)\/28 and 157\/h + 9\/((-27)\/12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -5. Let a = 77.3 - 77.34. Is a at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 2079*c - 5 = -2080*c, 71 = -4*s - 5*c for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3*l**3 - 15*l**2 - 5*l - 1. Let b(n) = 2*n**3 - 8*n**2 - 2*n - 1. Let x(s) = 5*b(s) - 3*k(s). Determine x(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -170.\nAnswer: -510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -10 (b) -0.73 (c) -211 (d) -0.8 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -2.4 (c) 19.6 (d) 2 (e) -2\/7 (f) -0.03 (g) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 4, -11.5, 0.29, -25, -1?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 50112\/5*r + 363312*r**2 + 35364050*r**4 + 5853360*r**3 + 2592\/25.\nAnswer: 2*(145*r + 6)**4\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 13) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5083084121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 8 = 4*h, 5*h = 4*h - 5*b - 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 - -31 - (-10 - (12 - (-5 - -19))).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 911572 is divided by 8363?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 72905.85 litres in millilitres?\nAnswer: 72905850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1173, -904, -635, -366, -97, 172?\nAnswer: 441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*s + 4*s**2 - 16*s + 30*s.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1064)\/(-21)*(-18)\/(-8). What are the prime factors of n\/2 - (2 - -2)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 136.5 - 16.5. Let m = -136.3 + l. Let p = m + 16.441. Round p to two dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v + 3*v + 4*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 30 = 2*q, -5*d - 3*q = -d + 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(8) + 2.\nAnswer: -2*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**3*(t*t\/t**5)\/t*t)**(13\/6)\/((t**(-1))**(2\/35)*t\/((t\/(t*t**(-1\/6)))\/t)*t**(-5)) assuming t is positive.\nAnswer: t**(677\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8716 is divided by 311.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 36 = 2*o - 6*o, -u = -4. What is the remainder when 38 is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 3180 = -4*j. Let b = j - -7436\/7. Calculate the common denominator of b and 45\/161.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475) + sqrt(475)*-2 + -1)*2 + 5*(sqrt(475) + sqrt(475)*2 + 1 + sqrt(475)) + -1)**2 + -4.\nAnswer: 360*sqrt(19) + 153900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 78 + 62 = 0. Let d be (-2)\/l*6 + 2. Which is the second smallest value? (a) -2\/5 (b) d (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j**2 + 0*j**2 - 2*j**3)*(-18 - 30 - 11)*(-6 - 17 - 5) as u + w*j**3 + m*j + n*j**2 and give w.\nAnswer: -3304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*w = -6*w - 152. Let o be (w\/(-5))\/((16\/20)\/(-2)). Solve o = -q + 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -4. Suppose 2*h = 5 + b. Let x(u) = -u**2 + u - 1. What is x(h)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**4 - f**3 - 1 - f**2 + 1 - f + 8 - 5 as c + a*f**3 + p*f**2 + t*f + y*f**4 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000403 to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (3 + 1*sqrt(1216) + 3 - (0 + sqrt(1216)*-1 + sqrt(1216) - sqrt(1216)*-2*-6)**2)*-4.\nAnswer: -32*sqrt(19) + 700393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 51.069 - 0.069. Let r = c - 50.6. What is the nearest to 0.2 in r, 0.5, -2.6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(288) + -2 + (-2*(-1 + sqrt(288)))**2 + 5)*-6.\nAnswer: -6984 + 504*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*i - 17*i + 60*i - 38*i.\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*b - 19. Solve 5*d + b*p + 11 = 3, -d + 5*p = 19 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 657701 is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a4 (base 13) in base 2?\nAnswer: -100101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280 = -13*j - 22*j - 5*j. Let t = -10 - -14. Suppose t*c = -j*c - 33. Let w(b) = -b - 5. Give w(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 12:54 AM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 + -23. Sort -2, f, 9 in increasing order.\nAnswer: -2, f, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2\/37)\/(j\/j**(-17))*j*(j*j*j\/(j\/(j\/(((((j*j\/j**(2\/7))\/j)\/j)\/j)\/j))))\/j*j*j**(-1\/2) assuming j is positive.\nAnswer: j**(-6355\/518)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 19*p - 51. Let q be a(6). Suppose -2*x + 2 + 16 = 0. What is the highest common factor of q and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 570 = 120. Calculate the remainder when s is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*r + 7*r + 8*r)*((4 + 7 - 6)*(0*r + 6*r - 4*r) - 3*r + 3*r + 2*r + 5*r + 0*r - 3*r).\nAnswer: 126*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - v**2 - 4*v + 3. Suppose 0 = -3*r - 3*m, r - 5*m - 10 = 4*r. Suppose 4*y - 5*c + 7*c = 6, r = -5*c. Give t(y).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1766 - 1715. What is the remainder when 74 is divided by a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65*((-8)\/56)\/((-60)\/168)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -633 - 547. Suppose -500 = 588*r - y*r. Is 50 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -3*z**2 + 32*z**3 + 1\/40*z**6 - 2*z**4 + 0*z - 1\/5*z**5 + 4. Factor g(a).\nAnswer: 3*(a - 4)**2*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 - 340 - (-42 - -2)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**2 - 1 + 35*c**2 + 3*c - 6*c**2 + 6*c**2 to h + d*c**2 + s*c and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 5:06 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 93\/13 or 8?\nAnswer: 93\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -208, -408, -610, -814, -1020, -1228, -1438?\n\"Answer: -g**2 - 197*g - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -50553, -105277, -160001?\n\"Answer: -54724*o + 4171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14509293? (a) 1 (b) -2\/11 (c) -0.2 (d) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 75\/108 - (-5)\/(-20). What is the nearest to -1 in 2, c, 3\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*w - 39 = w, 0 = -5*a - 5*w + 85. Let u be a*1*1\/3. Solve u*d - 23 = 2 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14157 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of 0 - 7\/6*w**3 - 1\/60*w**5 - 7\/24*w**4 + 2*w**2 + 0*w. What are the prime factors of a(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 249 - 248.655. What is h rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74710 divided by -1?\nAnswer: -74710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.56 - -1.7. Let c = v + -0.24. Suppose -3*l - 28 = -5*l. Which is smaller: l or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -7*k**2 + 4*k + 6. Let j(p) = p**2 - p - 1. Determine 6*j(d) + w(d).\nAnswer: -d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/(144\/30))\/(5\/6). Let r = -175 - -179. Solve f + 4*y = r, -w*f - 4*y = -5*f - 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 5*s**2 - 13*s - 40. Let a be j(-7). Let p = -283 + a. What is the greatest common divisor of 637 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 + 249\/(-15))*(-2570)\/4. Let b = -4245 + g. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 0*s + 3*s)*(s**4 - 6*s**4 + 4*s**4) + (-s**2 - s**2 + s**2)*(-s**3 + 0*s**3 + 3*s**3).\nAnswer: -6*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.42 + 0.07. Let k = 0.29 - t. Round k to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**5\/3 - 10*d**3\/3 + 8*d\/3 = 0. What is d?\nAnswer: -2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-12)*(-3)\/(-4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-15)\/5 + (-16884)\/(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -215a + 2268d?\nAnswer: 20533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**2 + 4314*q - 4317 = 0. Calculate q.\nAnswer: -1439, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 64, 155, 302, 517, 812?\nAnswer: 1199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -52*u + 1. Let n be q(-3). Suppose n = 2*t - t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 733960 and 110094?\nAnswer: 2201880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1904724, 4 in increasing order.\nAnswer: -1904724, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 7*f = -4. Suppose -f*c + 2*c = -36. Let v = c - 9. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrrrrrrrrrrryy. Give prob of picking 2 y and 1 r.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -322026 (base 7) in base 5?\nAnswer: -3242204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 11:46 PM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 3*f**3\/2 - 36*f**2 - 945*f\/2 - 1275 = 0.\nAnswer: -5, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3164.763 - 3164.4940222. Let z = -0.269 + n. Round z to 6 dps.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 475885 is divided by 95175.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**6*d*d**0*d*(d**3*d)\/(d*d*d*d\/d**6*d)*(((d\/(d\/d**(-2\/3)))\/d*d)\/d**6)**(-21) assuming d is positive.\nAnswer: d**153","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.812596l in millilitres?\nAnswer: 2812.596","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 6:24 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 136 and 244294284.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7606*r - 6337*r - 2213*r + 944*r.\nAnswer: -15212*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 87108074.548765 + -87107867. Let x = i - 175.5488. Let v = x - 32. Round v to six dps.\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (3 - -2)*(2 - 1\/1) and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/10*10\/(-4). Suppose x*c = -c + 44. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -8*i**2 - 11*i - 10. Let w be s(-1). Let l(m) = 28*m**2 - m - 73. What is the hundreds digit of l(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(972) - sqrt(972)*-2) + sqrt(972) - sqrt(972) - (sqrt(27) + -1*sqrt(108) + sqrt(108)))\/(6*sqrt(54)\/sqrt(6)*4))**2.\nAnswer: 289\/192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 181 + -178. Suppose -5*q + 7733 = -5*c - 2747, v*q + 3*c = 6306. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(3\/4)\/l**(-3\/8))**(6\/19))**41)**(2\/63) assuming l is positive.\nAnswer: l**(123\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -6*m + 5*m**2 - 4 + 3*m**3 - 4*m**3 + 6 + 3. Calculate h(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 3. Let c be (-2)\/v - (-40)\/15. Let a be 0 - (-5 + 0\/(-2)). Solve -a = c*y + 7 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(175)*3 + 0 - sqrt(175)) + sqrt(175) + -5*sqrt(175)*-1 + sqrt(175)).\nAnswer: 90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259 is divided by 222?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -438, 4, -17, 2\/3 in decreasing order.\nAnswer: 4, 2\/3, -17, -438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 544?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/95)\/(700\/(-950))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/4 + 5 + 2 + 2308131\/252?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*a - 100*a = -500. Let x = a + -1075. What is x rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 1:30 AM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away 171382?\nAnswer: -171382.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 11771 = 4*c + 5*p, -3*c + 8823 = 2*p. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o + 133593 - 66790 - 66803 + 3*o.\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7980 * -2.81.\nAnswer: -22423.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h - 29*h**3 + 33*h**3 - h**2 - 125 + 123 - 4*h**2 to u + p*h + n*h**3 + q*h**2 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 13020 (base 12) to base 2\nAnswer: 110010101011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 50603*m - 51743*m + 0 + 0 in the form d + w*m and give w.\nAnswer: -1140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, m: 8, h: 2, j: 7}. What is prob of picking 1 j, 1 e, and 2 h?\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 7*z - 4*z + 1 - z. Let k be s(2). Let u(d) = -15*d - 2023. Let o be u(-135). Is k >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x**2 - 4*x**2 - 3*x**2)*(3*x - 5*x - x) - x**3 + x**3 - x**3 + (-4*x**2 + 3*x**2 + 0*x**2)*(2*x - 2*x - 2*x).\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -1124976.\nAnswer: -5\/1124976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 909\/15659?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 11 = m + 3*j, -5*m = -5*j + 10. Suppose m*z - 7*z = 0. Let q be -2 + (z + -18 - 2). Which is bigger: q or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13734 - -832. What is the hundreds digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8070, -16140, -24210, -32280, -40350?\n\"Answer: -8070*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2529 and -0.067?\nAnswer: -169.443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -6*d + 86. Let t be l(10). Suppose 28475 = -9*z + t*z. Is 25 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ibib when four letters picked without replacement from biiibiiiiiiiiibiii.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -7. Suppose c - d*c - 68 = 4*h, -2*c = 4*h + 40. Let n be c\/(-117)*(-24)\/(-28). Which is greater: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 13. Put a, 4, 13 in decreasing order.\nAnswer: 13, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -27014618 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13526122 + 4?\nAnswer: -13526117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 127303314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/9 - 249710*r\/9 + 249692.\nAnswer: 2*(r - 124846)*(r - 9)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 78*p**2 + 1028*p**2 + 166*p**4 - 163*p**4 + 96*p**3 + 46*p**2 + 6144*p + 12288 = 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z**2 + z + 20. Let c(n) = -n**2 - 7. Let l(b) = 6*a(b) + 17*c(b). Let f be l(-6). Let q = 43 - 43. Is f at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9753635113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = -3*o - 10. Suppose -o*c = c - 15. Calculate the remainder when c is divided by (-6)\/(-4)*(3 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 4*s - 4 - 3, -3*s = 5*p + 57. Let x(f) = -f**2 - 8*f + 13. Let y be x(p). Solve 2*b - 3*z = 0, y*b - 4*z + 7*z = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*r - 31 + 31 + 7*r**3 - 27*r**3 + 5*r**2 wrt r.\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/8)\/(3\/(-12)). Suppose -4 = -4*z - 4*a, -3*z - 2*a = 2 - 3. Sort -8, y, z in ascending order.\nAnswer: -8, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 526 = -5*h - b - 10683, 4488 = -2*h + 4*b. Let i = -1333 - h. What is the units digit of (-4)\/((-24)\/i)*6\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of 0*y**2 + 5\/12*y**4 + 0*y**3 + 1\/4*y**5 + 0 - 2*y. What is the third derivative of b(g) wrt g?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by -1.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1319491, 2638693, 3957897, 5277103, 6596311?\nAnswer: 7915521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*y = 19*y + 130134. What are the prime factors of y?\nAnswer: 3, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 28879808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 219658507 to the nearest integer?\nAnswer: 14821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15 + 12617?\nAnswer: 12633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3516268.3 - 3500987.299. Let k = 15290 - o. Let i = 9 - k. What is i rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63395 and 18600.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1135 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -5*i - 1. Let c be a(-1). Suppose p + 7 = c*o, -1 = 3*o - 0*p - 2*p. Let r = 11 + -6. Is o not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, m: 3, w: 1, t: 1, i: 1, p: 5}. What is prob of sequence iw?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of -b**4\/24 - 141*b**2. Let m(v) = -152*v. What is o(m(t))?\nAnswer: 152*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -12 + (-1 - 2) + 6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -7*d**4\/8 + d**3 + 3*d**2 + 302*d. Calculate q(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2121728 and 1813.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-3))\/((-11)\/99).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/10874421 and -5\/20540573?\nAnswer: 184865157","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5400)\/192*(-1520)\/(-570).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-2236)\/(-2838)*44*(-3)\/(-8) - -10\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*a - 2 - a**2 + 6*a)*(4 + 9 + 4)*(-5*a - 26 + 26)*(-1 + a + 1)*(0 - 3 + 5) to the form u*a + j + g*a**4 + d*a**3 + t*a**2 and give t.\nAnswer: 340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ciiiicw. What is prob of sequence wic?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*y - 1. Let z be (-50 - (3 - 6)) + 3. Let m = -42 - z. Put m, y, -1 in decreasing order.\nAnswer: m, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -39 + 80 - 42 - 5*n**2 + 10*n + n**2. Let z(u) = u**2 - u - 1. Let k(r) = x(r) + 3*z(r). Calculate k(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 11*j - 18. Let k be f(2). Suppose -4*v + k = -8*v. Are -2\/311 and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15469485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3545, -13577, -29877, -52439, -81257, -116325, -157637, -205187?\nAnswer: -258969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - i**3 + 0*i - 1 + i + 2*i**2. Let r(z) = -3*z**3 + 4*z**2 + 5*z - 3. Let n be (-128)\/576*45\/2. Calculate n*q(p) + r(p).\nAnswer: 2*p**3 - p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 194, 510, 1036, 1772, 2718, 3874?\nAnswer: 5240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of d*i**2*x + 66*d*i**2 - 26*i**2*x + i**2 - 2*i*x wrt x?\nAnswer: d*i**2 - 26*i**2 - 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(26\/(-78) - 10\/(-400)*8).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44539757 divided by -2?\nAnswer: -44539757\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**2 + 3. Let q(x) = 37*x - 4112. Give q(v(y)).\nAnswer: 74*y**2 - 4001","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28.48 - 28.88. Which is the third biggest value? (a) g (b) -30 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -125*a**3*q - 2*a**3*w**3 - 2060*a**2*q*w**3 + a*q + 19*a*w**3 + 40262*a*w**2 wrt q?\nAnswer: -125*a**3 - 2060*a**2*w**3 + a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31384416\/1735 + 18089. What is the common denominator of 47\/4 and v?\nAnswer: 6940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -387, -1251, -2691, -4707?\n\"Answer: -288*k**2 - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 5) to base 15.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -248 + 239998888522\nAnswer: 239998888274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (432\/192)\/((-3)\/(-2180))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7440 and 222612240.\nAnswer: 7440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1371322 divided by 106.\nAnswer: 12937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/((c\/c**4)\/c))*c**(2\/3)*c*(c\/(c*c\/(c\/((c*c*c**(-3))\/c))*c))\/c*c**2)\/((c*c**(1\/5)\/c*c**(-2\/3))\/(c**(-4)*c\/(c**(1\/2)\/c))) assuming c is positive.\nAnswer: c**(-71\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 + 0.4. Let y = 24\/25 - 93\/175. Let j = -0.12 - -0.22. What is the third smallest value in y, j, o?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 113597.\nAnswer: -454388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.243 + -2.053. Let j = t - -0.81. Which is the second biggest value? (a) j (b) 0.3 (c) 5 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3 + 164*r**2 + 26628*r + 26460.\nAnswer: -4*(r - 105)*(r + 1)*(r + 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**3\/7 + 6448*d**2 - 246810792*d\/7 - 89211998880\/7 = 0.\nAnswer: -340, 11454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1170 by 234.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 11. Let h(s) = -2*s**3 - f*s**3 - 3*s**3 + 4 + 7*s**2 - s + 11*s**3. What is h(7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 8*q**3 + q**2 - 2*q + 1. Let n(s) = -s**2 - 5*s + 1. Let v be n(-5). Give l(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3 + 20196*w**2 - 101080*w.\nAnswer: 4*w*(w - 5)*(w + 5054)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*c**2 - 2*c**2 + 11*c**2.\nAnswer: 19*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/4 of a week?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 32631642 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 44.4 times -0.1\nAnswer: -4.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 11. Suppose 3*w = f*w + 4*q + 2, -w + 5 = -q. Solve 9 = w*n - 6 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1220 = -40*w - 115*w + 330 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 48*j - 69*j + 49*j. Let o(f) = -4*f. Let x(w) = w. Suppose 5*t - 2*y - 21 = 0, -t - 4*y - 6 = t. Let m(c) = t*x(c) + o(c). Determine m(v(d)).\nAnswer: -28*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 7*v - 3. Let k be t(2). Let h(f) = -11*f - 1 + 3 + 4*f**3 - 10*f**2 - 3*f**3. Let i be h(k). Solve i*a + a - 6 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -49*w**6 + 46*w**6 + 3*w**2 - w**2 wrt w?\nAnswer: -360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 5*r - 31, -11*m = -13*m - 2*r + 4 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5 + (-6*(-3*(sqrt(1700) + -1) - (sqrt(1700) + 4 + sqrt(1700) + 3)))**2.\nAnswer: 14400*sqrt(17) + 1530576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ympdmytyyyytddtmdyy. Give prob of picking 3 t.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 74022743?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.18458 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5783904 and 7229880?\nAnswer: 28919520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 32? (a) 1\/4 (b) 0 (c) -0.1 (d) -1\/11 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.06, -0.23, -5\/11?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-724)\/(-54) - 352\/4752.\nAnswer: 52\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -7. Let -10*q**2 - 6*q + 6 - 1 + 2*q - 3*q**3 + k = 0. What is q?\nAnswer: -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1856?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2941.07859421366 - 0.1.\nAnswer: -2941.17859421366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -2*m + m**4 + 8*m**2 + 1\/10*m**5 + 0 + 4*m**3. Find w such that a(w) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a - 21 - 19 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + 1)*((-7 - -1) + 1). Suppose -19*a + 15*a = 3*j + 7, s*a = -5*j - 5. Which is greater: j or -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 24, -0.1, 5, -5, 9\/10?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -197 or -3\/619?\nAnswer: -197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -310, 5, 880, -2, -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of s**5\/12 - s**3\/3 + 6*s**2 - 6. Give v(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q**2 - 3*q + 9. Let c be h(3). Let o = -23 + c. Differentiate u**4 + 13*u**o + 1 - 6*u**4 with respect to u.\nAnswer: 32*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6773.496 months to centuries.\nAnswer: 5.64458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -149983 by 149983.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in years?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000369 to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of q**4\/24 + 17*q**3\/6 - 2*q**2. What is the units digit of l(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 2*r**2 - 17*r - 8. What is z(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y - 2 + 8*y + 5*y + (1 - 2 + 0)*(2*y + y - 2*y) to r*y + q and give r.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.97 - 3.87. Which is the nearest to 1? (a) 4 (b) k (c) 0.03 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 165086434*z**2 + 8250778 wrt z?\nAnswer: 330172868*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 13*n**3 + 5*n - 10. Let o(c) = -4*c**3 - 2*c + 3. Suppose 13*z - 16*z = -21. What is z*o(h) + 2*x(h)?\nAnswer: -2*h**3 - 4*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -89*o**2 + 89*o**2 - o**3 + 2*o**3. Give v(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 897*o**2 - 83*o + 82. Let j be p(1). Calculate the highest common factor of j and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2638 is divided by 91?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -31686341, -31686351, -31686361, -31686371, -31686381, -31686391?\n\"Answer: -10*k - 31686331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2350 - 8\/(-2)) + (-6)\/1?\nAnswer: 2, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5602*w + 5604*w - 5*h + 13 = 0, -3*w + 15 = 4*h for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-152)\/2964 + (-1010)\/78. Let q(z) = -2*z**2 - 25*z + 8. What is q(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 677 + -677.1. Sort p, 0, -2, 68 in increasing order.\nAnswer: -2, p, 0, 68","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26b7a6 (base 14) in base 11?\nAnswer: 834164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 777.\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58, -57, -56?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -136 and 0.1182?\nAnswer: -16.0752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*i - 5*v - 35 = 0, -11*i - 8 = 2*v + 26 - 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -61 + 5?\nAnswer: -5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 6*c**2 + 387*c + 3338. Give s(-10).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.2642115 to 3 dps.\nAnswer: 3.264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 27742902, 27742904, 27742906, 27742908, 27742910?\n\"Answer: 2*d + 27742900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 276\/3 - (((-12)\/14)\/1)\/((-12098)\/42343).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b = 382 + 77. What is b rounded to the nearest integer?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u**2 + 0*u + 18\/7*u**4 + 0 - 4\/7*u**3 - 2*u**5 = 0. What is u?\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1542)\/(-30) + (35 - (-4602)\/(-130))\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11445 by 327.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 45615, 91235, 136859, 182487, 228119?\n\"Answer: 2*u**2 + 45614*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46 + -44. Let z(n) = -2*n**2 + 3. Let w(u) = -u**3 - u**2 + 1. Calculate x*w(b) - z(b).\nAnswer: -2*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 11 = -4*k. Let h = 13 + k. Let t = -10 + 20. Calculate the least common multiple of h and t.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000040645501 rounded to 7 dps?\nAnswer: -0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, u: 2, r: 1, v: 4}. What is prob of picking 3 a?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iv when two letters picked without replacement from sgvnbsninvs.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = -122*j + 126*j. Which is smaller: -236\/9 or j?\nAnswer: -236\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1595 divide 18564205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2445 and -0.28.\nAnswer: -2445.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 365894 is divided by 194?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.26 - -0.1. Let l = -0.36 + r. Let w(x) = -x**2 - 2*x + 7. Let m be w(-3). Which is smaller: l or m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 10 = -3*y. Suppose 4*s = 3*f + 4108, 4*f - y*f = -s + 1027. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67, 138, 209, 280, 351?\nAnswer: 422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 5:49 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 170 and 442.\nAnswer: 2210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 - -111512?\nAnswer: 111518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5281*b**3 + 12777*b**3 + 4934*b**3.\nAnswer: 22992*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000016117898 rounded to 7 decimal places?\nAnswer: -0.0000161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 37035466 a multiple of 1019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 77978755 and 30?\nAnswer: 467872530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21222110 + -10022002?\nAnswer: -102021112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 b when two letters picked without replacement from {j: 3, x: 4, b: 2, s: 1, k: 1}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-8 - -38) - (-79 + 73)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((15\/5)\/15)\/((-6)\/10)*27.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((2 - 3) + 0). Let g be d\/(-6) - 1\/2. What is the second biggest value in g, -4, -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 8. Let f(p) = 2*p**3 - 9*p**2 + 4*p + 29. Let m(h) = h**3 - 4*h**2 + 2*h + 15. Let n(k) = -6*f(k) + 13*m(k). Is n(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2910624*m**6 - 121355677*m**2 wrt m.\nAnswer: 349274880*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 + 1220295*n\/2 - 915219\/2.\nAnswer: -(n - 305073)*(4*n - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26693 + 26885.032. Let t = v + -192. Round t to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2\/13, 0.09, -0.4?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-253)\/(-4) - 3\/12. Let q = 249\/4 - d. Let i = -88 + 87. What is the closest to i in 4, q, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12230\/(-12) - 3\/(-19 - -1). Let w = 1448 + i. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1880\/(-2632))\/((-12)\/(-7))*-2*(-4)\/(-20)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 134, 271, 410, 551, 694, 839, 986?\n\"Answer: o**2 + 134*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 809035 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sat when three letters picked without replacement from {a: 2, t: 1, s: 1, n: 13}.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2934 divided by -978\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - v**2 - 1. Let i(m) = -4*m**3 - 7*m**2 - 6. Let x = 138 - 144. Calculate x*q(s) + i(s).\nAnswer: 2*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(784)*6)\/(sqrt(112)*3 - sqrt(112)).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bydhnhdhdqndbdhbbd. What is prob of picking 1 b, 1 q, and 1 d?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 80160\/(-18)*(-30)\/4. Round p to the nearest 1000.\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1737269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-28))\/((-41)\/(25420\/(-93)))?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -135*d**5 + 4*d**3 + 60*d**2 - 21953*d - 4.\nAnswer: -2700*d**3 + 24*d + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 7 = 4*p, -4*p - p = -4*w - 14. Let z(o) be the second derivative of 0*o**3 + 1\/135*o**6 + 0*o**p + 1\/54*o**4 + 2*o + 1\/45*o**5 + 0. Factor z(d).\nAnswer: 2*d**2*(d + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 4*y**2 + 9*y - 11. Let p be t(-6). What is the smallest value in -0.2, 0.06, p, -1\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*g**2 - 4*g**2 + 2*g**2)*(-1 + 1 + 2*g) - 16 + 0*g**3 - 3*g**3 - g + 3*g in the form l*g**2 + a*g**3 + b + z*g and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 636 and 336.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*m + 2. Let d = m + -3. Find the common denominator of 18\/d*(-18)\/8 and 73\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -67 + 94. Let b(j) = j**2 + 9*j + 8. Let q be b(-8). Suppose -3*k + 3*w = -30, 5*k = -q*k + 3*w + 48. Calculate the highest common factor of k and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + -3*(-4 - 1). Let j(l) = -a*l - 4*l + 5*l + 5*l. Let r(o) be the second derivative of -o**3\/3 - o. Calculate j(r(m)).\nAnswer: 18*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19125?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 4, -3, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m + 1. Suppose 4 = -2*p - 0*p, -14 = -u - 3*p. Let i(z) = -18*z + u*z + 3 + 1. Let l(o) = -i(o) + 3*q(o). Differentiate l(c) wrt c.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127698507?\nAnswer: 3, 23, 37, 16673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 6*x + 55. Let y be d(-9). Suppose -y = -27*s + 23*s. What is the remainder when 60 is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/9 and 91\/1405722.\nAnswer: 4217166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (126\/(-28))\/(12\/24).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/12*2*-6. Suppose 0 = u*k - 207 + 191. Solve 4*x - 14 = -5*b, 0*x + 4*b - 4 = k*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {m: 1, l: 3, w: 1, j: 1, g: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17207307.6 hours to weeks.\nAnswer: 102424.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7975? (a) -9 (b) -5 (c) -12 (d) 14\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l + 2 - 4*l + 5*l**2 - 1 + l**3 to the form r*l + a*l**3 + v*l**2 + n and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 396 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.02 + 0.02. Let v = k + 0.8. Round v to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8088784 a multiple of 3364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (52\/65)\/(38\/20 + -2). Let x be (m - -7)\/(1\/(-20)). Suppose -a + x = -11*a. Let d(s) = -2*s - 3. What is d(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)\/sqrt(108)*1)\/(-5*sqrt(6)\/sqrt(2)*1).\nAnswer: -sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*t = -360 - 612 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (84 - 104)*4\/(-40)*20\/45?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53.9999973 + -54. Round r to seven decimal places.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.238 - -86.238. Let v = b - 87.2. Which is smaller: 11 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13515 is divided by 23?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millisecond in microseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.813 - 2.813. Let k = -5 + 5.3. Let r(l) = l**2 + 9*l + 4. Let v be r(-9). What is the third biggest value in v, k, f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -571, -0.4, -10?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -5*p + 3. Calculate b(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/72349, -7, 2\/9 in decreasing order.\nAnswer: 2\/9, -2\/72349, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 54682635 - 11.\nAnswer: 54682624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 15257 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.54 - -55.74. Let p = 50 - l. What is the second smallest value in p, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 p when two letters picked without replacement from {n: 3, g: 9, p: 4}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 6\/2 - 129*7\/315\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 361 - 73a?\nAnswer: -3b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/9? (a) 1 (b) 5 (c) -1\/6 (d) 2\/11 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -32? (a) 3 (b) 0.6 (c) 2 (d) -464\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -171*r**2. Let g(s) = 3*s**2 - 51. Calculate g(u(m)).\nAnswer: 87723*m**4 - 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*v + 100*v + 17*v + 2729 + 7015 = 0 for v.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7394555.\nAnswer: 5, 7, 41, 5153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -760 divided by 76\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -78 + 56. Let w be (-3)\/(-6) + f\/4. Let g = -3 - -3.1. What is the closest to 0 in g, w, -2\/11?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -692, -1327, -2012, -2777, -3652?\n\"Answer: -5*a**3 + 5*a**2 - 615*a - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*b**2 + 3*b**3 - 7*b**2 + (2*b**2 + b**2 - b**2)*(-b + 3*b - 3*b) + 3*b**3 - b**3 + b**3.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.4064014 to 1 decimal place.\nAnswer: -26.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + 22*h + 30. Calculate t(-23).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3437 is divided by 37?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1480914 and 174.\nAnswer: 1480914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2. Let b be o(-2). Suppose -b*r = r - 125. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 54.30861 + -8.30891. Let u = i - 46. What is u rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1824 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8838 (base 15) in base 12?\nAnswer: -14845","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 12:22 AM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 1456 = 14*b + 3*b. Calculate the greatest common factor of 11004 and b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.98454 rounded to 2 dps?\nAnswer: -6.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -197 - -200. Suppose -n*s + 5*p + 13 = 0, -13*s + 4*p = -18*s + 71. What is the remainder when s is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -4*b - 3. Let v be 24\/18*(71 - b). Calculate the highest common factor of v and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/25 of a milligram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 5*m**2 - 5*m - 26. Let s be v(-5). What is the remainder when 13 is divided by (-18)\/(-2) - (s - -2 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1463, -5867, -13205, -23477?\n\"Answer: -1467*p**2 - 3*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 8*b**2 + 9*b. Let t be 0 - (-24)\/(1 - -2). Is 12 a factor of k(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26091494*q**5 - 2*q**2 - 161102932.\nAnswer: 1565489640*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41 - -5. Let q(v) = v**2 - v + 1. What is the least common multiple of (-3)\/((u\/160)\/((-9)\/(-12))) and q(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 522599 is divided by 52259.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 210236207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 48162 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 320023177 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(-6) - 132986\/84. Let u = 6306 - m. What is u rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o + 16*o**3 + 2 + 2*o - 15*o**3 + 4*o**4 as f*o**4 + v + h*o**3 + t*o + g*o**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -1\/4*r**4 - r**3 + 0 - 5\/2*r**2 + 2*r + 1\/20*r**5. Calculate the remainder when u(5) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3 + 6)*(-3*l - l + 2*l) - 55*l - 1 + 24*l + 28*l to the form j*l + g and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2801*c = -2810*c - 2988. Let t = -683 - -1164. Let l = c + t. Is l a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -1040\/11 - 1124\/11*f + 2\/11*f**3 - 82\/11*f**2 = 0.\nAnswer: -10, -1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-95)\/(-38)*(-96)\/(-840)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**2 - 5*i + 12. Suppose -153 + 286 = -105*r - 287. Determine d(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 60.8 - 67. Suppose -22*n + 37 = -29. Sort n, u, -0.5 in descending order.\nAnswer: n, -0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (96900\/557175)\/(8\/6)?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -2. Let x = -41\/12 + -1\/3. Calculate the common denominator of x and u + ((-41)\/(-11) - -2).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -135358, 0.2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 7*r. Let w be j(3). What are the prime factors of 7\/w*4*33?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 + -0.1. Let q = -21 + 20. Suppose -a = -4*d - 567 + 603, 0 = 4*d - 20. What is the closest to v in q, -4, a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1212? (a) 0.4 (b) 0.07 (c) -5 (d) 3\/4 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 29616 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1183557 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1613c80 (base 14) to base 12.\nAnswer: 37512a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38 + 229\/6. Let t be (-6)\/(77\/(-33) - 15\/(-5)). Let s = -0.5 - 2.5. Which is the closest to -0.1? (a) s (b) t (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1058*r + 1055*r + 79 = l, r - 19 = -4*l. Solve r*b = 29 - 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128638.\nAnswer: 2, 64319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1350 + -5?\nAnswer: -1355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -58130482, -116260964, -174391446, -232521928, -290652410?\n\"Answer: -58130482*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 0, 5*l - 30 = 4*p - 10. Let q be (-10)\/6*(l + -8 + -11). Is ((-5)\/(q\/(-74)))\/(1\/5) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 163051 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 2 - 35*h**2 + 4 + 34*h**2 as s*h**2 + k*h + x and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 6*p**2 - p - 29. What is the remainder when 13 is divided by z(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -2878, 1, -4\/9, 0.3, -1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 + 37 + 31)*(6*y + 3*y - 2*y) + 0*y + 2*y - y + 1.\nAnswer: 316*y + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -s. Suppose s*x + 3*x - 6 = 0. Solve -x*i + 1 = -3 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -17. Suppose x*s = 2*k + 23, 5*k - 1 = -2*s - 15. Find the second derivative of -l + s*l**4 - 2*l**4 - 3*l**4 wrt l.\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of o**3\/3 + 7*o**2\/2 - 11*o - 19. Give z(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 10) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + o + 37 = 4*b, 0 = -3*b + 5*o + 6. Let w = -3 + b. Suppose -5*n + 1055 = 5*u - n, -w*u - 2*n + 844 = 0. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 n, and 1 u when three letters picked without replacement from {u: 2, n: 2, t: 2, v: 3, q: 4}?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = t - 4*v, 3*v = 3*t + 4*v + 13 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*o - 6 = 0, 0 = -4*k + 4*o - 0*o + 8. Let i be 68\/120 - (12 - 312\/30)*(-7)\/(-28). What is s in 27\/2 + 3*s + i*s**k = 0?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7689122 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 681820.7l to millilitres.\nAnswer: 681820700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmtzgrtzmmmjmrjttz. What is prob of picking 1 m and 2 z?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 606820 is divided by 1963.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 3*l + 14, 5*l + 12 = -5*h + 6*h. Solve 3*j + 32 = -h*v - 2*v, -5*v - 29 = j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 0. Let y = -10.1 + -11.5. Let i = 22 + y. Which is the biggest value? (a) i (b) -0.1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -42, -88, -136, -186, -238?\n\"Answer: -q**2 - 43*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37623*f - 107067*f + 35908*f + 37503*f.\nAnswer: 3967*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 74, 124, 174, 224?\n\"Answer: 50*a + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**3 + 4. Suppose d - 6 + 1 = 0. Suppose -4 + 2 = 2*p, -8 = j + d*p. Is v(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -6. Let x be (4 + (-409)\/102)*4. Do h and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-146 + 368 - 164)*(0*m - 3*m + 4*m) - m + 0 + 0 - 2*m + m + 2*m.\nAnswer: 58*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2. Let m = 14 + -9. What are the prime factors of x(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1093856670283 and -0.04?\nAnswer: 1093856670283.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(1\/8)\/i*(((i**1\/i)\/i)\/i)\/i assuming i is positive.\nAnswer: i**(-31\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 367, 1779, 3205, 4651, 6123, 7627, 9169, 10755?\n\"Answer: b**3 + b**2 + 1402*b - 1037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -429.\nAnswer: -1\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 5*o**2 - 7*o - 6. Let d = -147 - -171. Suppose -5*a = -c + 33, 6*a - 3*a + d = 2*c. What is n(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63)\/(-60) + (-5 - (627\/12)\/(-11)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 70 - 56. Is k a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4686400 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 593049.\nAnswer: 3, 197683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.12 - -0.3. Let w = h + -2.02. Let i = -0.06 - 7.94. What is the second smallest value in 2, i, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 778 - 501. Let l = -141 + g. Calculate the least common multiple of 20 and l.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.5 (b) 2 (c) -8\/637 (d) 0.3 (e) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - 0.89338?\nAnswer: -1.29338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + (6 - ((-5 - (-13 - (7 - 5))) + 5)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 12 = -3*z, 2*x - 4*z = 3*x + x + 3*z - 27 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = a + 17, -2*a + g = -g + 6. Sort 1, -105, a in increasing order.\nAnswer: -105, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-25)*2*6\/4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 391337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert aa1 (base 15) to base 7.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 168*f**2 + 1587*f + 1472. Determine n(-9).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1875*g - v + 9383 = 0, 4*g + 4*v - 12 = -3*v + 4*v + 4*v for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-8) + 210\/24. What is the highest common divisor of a and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*1*-5 - (-115)\/5. Suppose -u = 3*f - 11, -5*f = 3*u - f - a. Factor -4\/5*i - 2\/5 - 2\/5*i**u.\nAnswer: -2*(i + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*j - 38 = 26 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1.134*-0.2\nAnswer: -0.2268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k. Let w(o) = -29*o. Let d(i) = -350*i. Let t(j) = -3*d(j) + 35*w(j). Calculate t(x(u)).\nAnswer: -70*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40558380 by 2703892.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from byeehbgg. What is prob of picking 1 b, 1 g, 1 e, and 1 y?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 2 (b) 2\/43145 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*q**4 + 4*q**4 + 30*q**4 + (20 + 5 - 7)*(0*q + 0*q + 2*q**4) - q**4 - 4*q**4 + 3*q**4 in the form z + u*q + t*q**4 + o*q**3 + a*q**2 and give t.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -24220, -25508, -26796, -28084?\n\"Answer: -1288*i - 22932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k + 162 = -10*k. Let y = k - 22. Let t = -282 + 284. What is the highest common divisor of t and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -4, 2, -575 in ascending order.\nAnswer: -575, -15, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5065807 is divided by 1089.\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6597936806?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 99929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 411, 1651, 3709, 6591, 10303, 14851?\nAnswer: 20241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8133451 is divided by 2033360?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -u**8\/840 - u**5\/40 - 2*u**3 + 2. Let m(i) be the third derivative of s(i). Find the second derivative of m(g) wrt g.\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 0 - 12 = -2*v, -12 = -4*w + 2*v. Solve -5 - 1 = -w*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q - 3*q + 230 = 0. Let r be 0\/q + 4\/3. What is b in -4\/3*b - b**4 + r*b**2 + 0 + 5\/3*b**3 = 0?\nAnswer: -1, 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90127255681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m + 44*h - 3 = 42*h, 88 = 5*m - 3*h for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - 1 + 1)*(95*g - 95*g - 26*g**2).\nAnswer: 52*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**3 - 10*p**2 - 12*p + 2. Let t be c(-3). Suppose -t*v - 1248 = -5*z, 4*z - 5*z + 3*v + 260 = 0. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1105 times -0.854?\nAnswer: -943.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-452)\/4520)\/(5 + (-1953)\/390).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -11 - (-2 - (-5 - -7)) - -5513?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0733 + 0.0167. What is the nearest to -1 in q, -5, -2\/11, 0.2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 69\/3920 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2691423791+13.9\nAnswer: -2691423777.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/4708 and -31\/20036.\nAnswer: 23582372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*i + 68*i = 3*k - 31, 5*k - 5*i - 45 = 0. Solve 5*v + k = 0, 12 = -2*y - 4*v - 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p + 3. Let l be s(2). Let q(r) = 2*r. Let o be q(l). Is 3\/o + 255\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -4*y - 89, 0 = -b - 5935*y + 5932*y + 14 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48849?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -686*t - 13372 = 1056*t - 98080 + 4576 for t.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/6 + 153\/27. Let m(z) = -9 + 5*z - z**3 + 0*z - 3*z + 6*z**2. Calculate m(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005237 rounded to 4 dps?\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -144, -143, -140, -135, -128?\n\"Answer: d**2 - 2*d - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 11. Let x be (0 + -2 + 1)*0. Suppose -k - q + 4 = o, x = k - q - 5. Solve 3*d = 4*b + 7, 0 = 2*b - d + k*d - 9 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4167.67 + -5\nAnswer: -4172.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -554*i + 553*i + 98*i**2 + 17*i**4 - 108*i**4 wrt i?\nAnswer: -2184*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 209 and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 165*p + 1. Let i(d) = -167*d + 1. Let a(v) = 5*i(v) + 4*w(v). Let o = -14 + 10. Is a(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8443904.\nAnswer: 2, 7, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*n = -2. Let m be -1 + (n - 54\/(-3)). What is the highest common factor of 60 and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 34 - 520?\nAnswer: -453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 1. Let k(w) = w + 2*w + 2*w - c*w. Let p(z) = z**2 - 8*z**2 - 2*z**2. Determine k(p(r)).\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from irfiihkikrikhik. Give prob of picking 1 k and 1 h.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14611 + 34764 + 258296 = 13*f. List the prime factors of f.\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45 - 56. What is the common denominator of 69\/8 and (-219)\/(-4)*m\/99?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**4\/15 - 34124*i**3\/15 - 102358*i**2\/15 - 68236*i\/15 = 0.\nAnswer: -17059, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 32*((-6)\/(-9))\/1 + -2. Let m = 1427\/78 - o. Calculate the common denominator of 69\/2 and m.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 50*t**2 - 51*t + 62. Is n(-33) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -84 - -84.4. Sort 3\/4, n, -2\/5.\nAnswer: -2\/5, n, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56747508 a multiple of 221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 9:50 PM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -625503 - -998494. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -486 = -98*p - 1065 - 1381. Put -29, p, -5 in descending order.\nAnswer: -5, p, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m**2. Let s(a) = 26 - 125*a - 4 - 5 - 9 - 9. What is s(n(x))?\nAnswer: -375*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1622.4*2.6892\nAnswer: -4362.95808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.14? (a) 4 (b) -2 (c) -21\/2 (d) 1\/4 (e) -19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b - 100 = -1. Let n(j) = j + 7. Calculate n(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 5 + (-3*sqrt(63)\/sqrt(3)*-2)\/(sqrt(567) - (sqrt(567)*1*-1 - sqrt(567))))*-5.\nAnswer: -45 - 10*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.3015824 + 2.\nAnswer: 0.6984176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*n**2 + 23*n**4 - 81*n**2 - 3 + 2*n + 37*n**2 as o*n + s + m*n**2 + j*n**4 + r*n**3 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 158612083?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183726 is divided by 62?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/84*5*-3*96\/(-320)*3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/11 (b) 2\/3 (c) 0 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -916\/357 + 42\/17. Which is the biggest value? (a) q (b) 0.4 (c) 0.3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -368 - -177.4. Let q = -191 - t. Which is the closest to 0? (a) -1\/4 (b) q (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 3. Suppose -k = -1 - z. Let u(g) = g**3 - 6*g**2 + 6*g. Let n be u(k). What is the second smallest value in 2, 0.4, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3*d**2 + 5*d - 63. Let x(q) = -7*q**2 + 14*q - 189. Give -5*x(r) + 14*y(r).\nAnswer: -7*r**2 + 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 z when three letters picked without replacement from zzwzwwwwzzzzww.\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10449, -10511, -10573, -10635?\nAnswer: -10697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -6. Let g be 2\/(26\/(-1)) + c. Let x be (-6)\/(-4)*6\/(-9). Which is bigger: g or x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**2 + 2*w + 3. Let q be s(-2). Suppose -p - 12 = q. Let m = 33 + p. Calculate the greatest common factor of 112 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -105201? (a) 47 (b) 12 (c) -2 (d) 2\/3 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20308091 by 6.\nAnswer: 20308091\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -888*a**3*u + 4*a**2*u**2 + 1092*a*u**2 + 2*u**2 + 4 wrt a.\nAnswer: -5328*a*u + 8*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9791640491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 3*v - 656, -555 = -3*v + 2*k + 103. Suppose 6*r = r - v. Let o be 2\/(-7) - r\/7. Sort o, 2, -5.\nAnswer: -5, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0 (b) 2\/9 (c) 1 (d) 123 (e) -4 (f) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1227610.\nAnswer: 2, 5, 122761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -12 - -14 - (-2*9)\/(-1). Let a = w + 12. Let h = -2 - a. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 349 - 344. Let o be 1\/(-4) + 2\/8. Solve a*i + 10 = -o for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 244\/305*20\/(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -179*n**2 - 14681*n - 243. Give u(-82).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -26\/173, 5, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*l = 3*g - 3, -3*g - 14*l - 14*l - 18*l - 1 = -41*l - 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 17*t + 20*t)*(-3*t + t + 3*t).\nAnswer: 3*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.052368 - 33.689368. Round g to zero dps.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 56 - 42. Let d be (16\/28 + -1)\/((-20)\/l). Which is smaller: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17\/11 - -15\/11. Suppose -4*m = -9*m. Is m less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-175)\/(-55) + -1 + 27\/33.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*g + 19*g - 39*g = -2912. Calculate the smallest common multiple of g and 120.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence crc when three letters picked without replacement from {r: 1, c: 2, h: 7, t: 3, u: 4}.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7516458 weeks in seconds?\nAnswer: 454595.37984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 148, 4, 1\/3, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f - 13*f + 3 = -8*f + 11*i, 5*f + 2*i = 31 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.496 + 12?\nAnswer: 55.496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*c - 3 = 0. What is the units digit of 2 - (c + (-2)\/(-1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2*j**5\/7 - 22*j**4\/7 + 18*j**3\/7 + 34*j**2 + 28*j = 0.\nAnswer: -2, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -1 - 11 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -435 - -900. Suppose 4*v + 2 + 6 = 0. Let d be 400\/3*u\/v. Round d to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11621*q**5 + q**4 - 50*q**3 + 18985696*q**2 wrt q.\nAnswer: 697260*q**2 + 24*q - 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.957 + -0.957. Which is the closest to -47? (a) -0.4 (b) k (c) 0 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4 + (-11 - -4) + 5559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 w, and 1 h when three letters picked without replacement from {w: 1, o: 8, t: 1, h: 2, q: 2, i: 2}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 4\/5 - 17\/15. Put v, -0.4, -0.73 in ascending order.\nAnswer: -0.73, -0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 5*a - 15 = 0, -4*j + 14 = -7*j - 4*a for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4276*x - 21374. Determine u(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - 560*y - 407. Let r(z) = 562*z + 488. What is 6*d(k) + 5*r(k)?\nAnswer: -6*k**2 - 550*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 1:14 AM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 444 and 410367.\nAnswer: 1641468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**7*q*q*q**12)**(1\/12)*(q\/(q**(-3\/11)*q))\/(q\/(q\/(q\/(q\/(q**(-8)*q)*q))*q))*(q\/(q\/q**5*q))\/(q*q\/(q**0*q)*q) assuming q is positive.\nAnswer: q**(573\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1031 + 2057 = -42*m + 4*m for m.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 46723.54 to the nearest 1000.\nAnswer: 47000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10677594*g**2 + 8629272 wrt g?\nAnswer: 21355188*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*a*g**2*j**3 + 991*a*g**2*j**2 + 450*a*j**3 + 13*a*j + 3*g**2*j + 2*j**3 wrt j.\nAnswer: -30*a*g**2 + 2700*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 6*y**2 - 14*y - 14. Let v be u(8). Solve 83 - 85 = -v*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/h**(2\/33)*h)*h\/((h\/h**(1\/9))\/h))**(-32)*(h**(1\/4)\/h)**(3\/11)\/(h*h**(-9)*(h\/(h*h**0*h*h))\/h) assuming h is positive.\nAnswer: h**(2099\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -l**6\/24 - l**5\/60 + 8*l**2 - 2*l. Let y = 84 + -85. Calculate h(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -74698275\/2 at most as big as -37349139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 21*w**2 + 19*w + 87. Let u be o(21). Calculate the highest common divisor of 18 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -25, -4, -2, 141, 2, 1.\nAnswer: -25, -4, -3, -2, 1, 2, 141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -5*h**2 + 5*h. Let m(d) = -10*d**2 + 9*d + 2. Let t(x) = 30*x**2 - 27*x - 7. Let z(r) = -7*m(r) - 2*t(r). Calculate 5*n(u) + 3*z(u).\nAnswer: 5*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1766 - 55. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(2\/(-18))*(55\/(-22))\/(135\/54)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.279 < -2\/139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 129 * -191937\nAnswer: -24759873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-26) - (-2)\/(156\/51). Let a be (1 - (-1 + 7)) + (-1 - -1). Let k = -4 - -6. What is the nearest to w in k, -0.3, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 281 and -1.\nAnswer: -281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79413?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -12. Let f = q - 9.2. Let w = 77.9 + -77.8. Which is the nearest to -2\/3? (a) w (b) f (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + 1)*-1*-3.\nAnswer: 3 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 4*f = 11, -81*j = -83*j + 4*f + 14 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2699 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 24*b**2 - 61*b - 22. Let f be q(21). Solve -w + 13 = 3*d - 0, -4*d = 2*w - f for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, s: 1, f: 2, j: 2, e: 2}. What is prob of picking 1 f, 1 e, and 1 s?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 + 32*f**2 - 2*f**2.\nAnswer: 30*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.51 + -777?\nAnswer: -776.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1785 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 5*g**3 + 4*g**2 + 4. Let a(q) = 12*q**2 + 0 + 4*q**3 + 3 - 9*q**2. Give -4*a(y) + 3*m(y).\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-232)\/(-6)*27\/18. Let t be (5 - 1)\/(4\/m). Suppose 11*c = 13*c - t. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12376 and 1092?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of y**7\/210 + y**6\/50 + y**5\/100 - y**4\/20 - y**3\/15 + 16*y. Let j(d) = 0. What is d?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*u - 4 = 108*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 3*z**2 - 4. Let j be o(3). Is 13 a factor of j\/26 - (-513)\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 10, 14, -1, -2 in descending order.\nAnswer: 14, 10, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.01 + 3.01. Let g = s - 1. What is the closest to 1 in g, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11732 + -11731. What is the biggest value in d, 117\/10, 0?\nAnswer: 117\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 339979, 679955, 1019929, 1359901, 1699871, 2039839, 2379805?\n\"Answer: -g**2 + 339979*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-35)\/(-49) + -1)\/(20\/70). Which is the closest to -4? (a) -11 (b) s (c) -2\/13 (d) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -490\/3 or -162?\nAnswer: -162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002685006258 rounded to six dps?\nAnswer: -0.000269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 2. Let i = m - -29. Let q = i - 11. List the prime factors of q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -11356, -45432, -102224, -181732, -283956, -408896?\n\"Answer: -11358*l**2 - 2*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2158*f**4 - 2*f - 6*f**3 - 3*f**5 + 2*f + 2149*f**4.\nAnswer: -3*f**3*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 374, 398, 426, 458, 494?\nAnswer: 534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8831 - 8827.9638. Let q = f + -0.0362. Which is the second smallest value? (a) 0 (b) q (c) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 3. Suppose 7*v - 28 = 3*v - 4*b, -v = -3*b - 19. Let f be v\/(-3) + 3 + 80\/15. Sort z, -1, f in decreasing order.\nAnswer: f, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 104 + -102.09. Let f = 0.9 - m. Let w = 0.01 + f. Which is greater: -3 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 17 + (-236)\/14.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.2 (b) 0.2 (c) -0.0278\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (116\/24)\/((-408)\/918) + (0 - -11)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1689 + -1687. Suppose 0 = -0*f - 4*f + 20. Suppose 0 = 3*j - f*q - 4, -5*q = 4*j - 7 - 10. Sort 4, t, j in increasing order.\nAnswer: t, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + (-3)\/3 + (-53)\/(-1). Let d = q + -42. Does 2 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 388819 and 8503?\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 + 6*g - 5. Let v(m) be the second derivative of -m**4\/6 - 5*m**3\/6 + 2*m**2 - 7*m. Determine 4*n(j) + 5*v(j).\nAnswer: -2*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -267 + 714*j**2 - 3*j**4 - 2139*j**2 - 711*j + 267 - 717*j**3.\nAnswer: -3*j*(j + 1)**2*(j + 237)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 4*k - 166. Let s(n) = -n + 68. Let y(i) = 2*o(i) + 5*s(i). Determine y(14).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*h + 122 + 18 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 > 243?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000006335199449 to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6080 + 6079.994846. Let r = 36.946154 + c. Let k = 37 - r. Round k to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*t**5 - 11*t**5 - 7*t**5 + (0*t + 4*t - 3*t)*(t**4 - 2*t**4 + 2*t**4).\nAnswer: -8*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((106\/14)\/((-915)\/2135))\/((-2)\/6).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*s - 2 = 4, -3*v - s + 6 = 0. Factor 2*i - i + i**v + i.\nAnswer: i*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -17 + 32\/(-96)*(-48 + -5). Suppose -72*w**3 + 0 + 0*w - b*w**5 - 144*w**2 - 12*w**4 = 0. Calculate w.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 7, 10970 in descending order.\nAnswer: 10970, 7, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -3*z - 3, 4*i = 4*z - i - 1. Let h be -50*(0 - z\/15). Find the common denominator of (-4)\/(-2) + 74\/h and -43\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 - -21. Let d = 0.1628 - 8.1628. Which is bigger: g or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -330*s - 26. Suppose -6*w - 29 - 31 = 0. Is f(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + s - 1 = 0, d - 7*s - 22 = -3*s. Suppose 3*q - 24 = i, -3*i + 7*i = 0. Let c = 51 + -51. Solve c*w - q = -d*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 68, 184, 398, 740?\nAnswer: 1240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4925*u**5 - 207*u**4 + 1119783*u**2 wrt u?\nAnswer: 295500*u**2 - 4968*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 605545145 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 534337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3505 divided by 1257\nAnswer: 3505\/1257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42909?\nAnswer: 3, 14303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.238 - 3.033. What is m rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 200 = 4*m. Suppose -32*a + m = -28*a. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 681290711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + (-5 - (-3 + -17 + 24))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8*(-1)\/12)\/(1\/2). Let z = 1.6 - 13.6. Let n = -14 - z. What is the second smallest value in -4, 0, n, y?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 886986 to the nearest integer?\nAnswer: 942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1881 (base 12) to base 9.\nAnswer: 4067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -949*w + 11382. Calculate k(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/2, -0.07, 3, 1\/3, -24, -5\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ypyypypqhhycyhyp. Give prob of picking 1 y and 1 c.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10595025 and 5445.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 + 11. Find the common denominator of -101\/8 and (2\/(-130))\/(d\/10).\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 55*z**2 + 31*z + 5. Is 21 a factor of k(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75913 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -333 - -357 - (-19 - -11)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, a: 1}. Give prob of picking 1 a and 1 f.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8\/3 + -314\/117. Let c = 57973642\/819 + -70786. Let l = c - o. What is the third biggest value in l, -2\/5, 0.2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -3*t + 4*t - j, 4*t = -5*j + 11 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m - 12*m + 10*m + 60 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 0*t = 90. What is the third smallest value in 4, t, 3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10125?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4\/49 - 1087\/1911. Calculate the common denominator of d and -19\/3.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1100\/(-30))\/(-22) + -5)*(-4 + 1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16770220 and 76.\nAnswer: 318634180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 115 - 105. Suppose -2*u + g = 3*h, -3*u + 3*h + 3 = -12. Solve 3*a + u = -2*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -4 - (3 + -2 + -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.242 + 4.758. Which is the second smallest value? (a) r (b) 2\/9 (c) 4 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z - 4. Let o be p(7). Suppose -x = o*x + 2*y + 6, x + y + 3 = 0. Solve 0 = 4*s + s - i - 4, x = -4*i + 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - 5.49220563\nAnswer: -12.49220563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 7:10 PM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3)\/k**4)**36*((k*k**(2\/11))\/k*k**(1\/5)*k)**(2\/19) assuming k is positive.\nAnswer: k**(-13852\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 95*m**2 + 1906*m - 402. What is h(-29)?\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-657)\/(3*(-11 + 10)). Let v be 15734\/(-72) - (-2)\/(-8). Let o = d + v. Which is the third smallest value? (a) 0 (b) -3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.025 and -9.\nAnswer: 0.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/3? (a) -0.5 (b) 0.127 (c) 2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2364 and 85236?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*s = -13*s + 92 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -k**2\/2 + 5248. Let c(m) = 243*m. What is c(w) + 162*u(w)?\nAnswer: 81*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65546834 is divided by 21848942?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37 - 1. Suppose 3*c - 6 = 0, -z - 4*c = -5*z - a. Is -7 at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*((b**(-10)\/b)\/b)\/b)\/b)**(1\/4))**(-49) assuming b is positive.\nAnswer: b**(637\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**4 - 4*u**2 + 7*u - 4. Let d(z) = z**4 - z**2 + z - 1. Let w = -9 - -10. Let g(n) = w*x(n) - 4*d(n). Find the second derivative of g(i) wrt i.\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8285 + 7457 = -231*g - 119*g - 11208 for g.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(6 - 1) - 99\/27)*12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(8\/7)\/((o**(-14\/5)*o)\/o) assuming o is positive.\nAnswer: o**(138\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i + 2. Let a(l) = 7*l - 5. Let v(n) = 2*n + 3. Let d be v(-2). Let b(z) = d*a(z) + 6*y(z). Suppose -2*r - r = -r. Calculate b(r).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*a**2 + 3*a**2 + a**2)*(-a**2 - a**2 + 5*a**2)*(-1 + 6 - 3)*(-4 + 2 - 3)*(-82*a + 64*a - 56*a).\nAnswer: -4440*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 2*q - 2. Let w = -41 + 36. What is a(w)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 20953145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 42*g - 173. Let c be p(-27). What is the highest common divisor of c and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {b: 5, d: 2, h: 1, g: 6, u: 2}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 9:39 PM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*i**2 - 12*i**2 - 12*i**2 - i)*(1 + i - 1).\nAnswer: -8*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (5 + 0 + sqrt(242) - 5*(sqrt(242) + sqrt(242)*2)) + -3 + -3)**2.\nAnswer: 1848*sqrt(2) + 47468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -754 + 1168. Is 54 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14.4 in -0.3, 0.4, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + v + 72 = 0, -c + 3*c - 162 = -4*v. Calculate the remainder when c is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**2 - 1372 + 2463 + 11153 - 3*r**2 - 147 to the form b*r + c*r**2 + g and give g.\nAnswer: 12097","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-16))\/((-2187)\/134136)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g + 8*x - 3*x - 32, 5*g = -5*x - 10 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -8*m**4 - 250*m**3 + 2818*m**2 + 15696*m + 3744 = 0.\nAnswer: -39, -4, -1\/4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*s = -8*s + 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and (-3)\/(-4) + 1\/4 + 143.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9664287?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 264 - -60. Let h = o + -326. Which is the biggest value? (a) -1 (b) -2\/37 (c) h (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 37255787 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 101509740 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213148?\nAnswer: 2, 13, 4099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 2)*(-2 + 0 + 1) + (-4 + 3 + 2)*(-6 + 2 + 2) + 4 - 1 - 1 + (-5 - 13 + 7)*(1 + 0 + 1))*(i**5 + 4*i**5 - 4*i**5).\nAnswer: -24*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -123894240, -123894244, -123894248, -123894252, -123894256, -123894260?\n\"Answer: -4*v - 123894236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.718987 - -0.70847?\nAnswer: 42.427457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4033 and 763?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 23*x**2 - x + 25. Let u = 184 - 161. Let s be p(u). Solve -5*b = 5 - 0, -c = 3*b + s for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(52)\/(sqrt(32)\/(1*sqrt(8))) + 2)*5.\nAnswer: 10 + 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -852526 (base 10) in base 15?\nAnswer: -11c901","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/4)\/(k**2\/k))\/(k**(-1\/4)\/k)**(6\/19) assuming k is positive.\nAnswer: k**(-103\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 4*r - 4*r)*(57 + 183 - 73) - 16*r - 7*r + r.\nAnswer: 312*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 18 = 0, 37*m = 33*m + 2*o + 578608. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(6332\/90)*-10*(-9)\/(-135). Which is bigger: p or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 121653 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 18715*f**2 - 4*f + 2. Let q(p) = -262012*p**2 + 58*p - 29. Give 29*j(l) + 2*q(l).\nAnswer: 18711*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 25 = -4*q, 3*y + q = 4*q - 15. Let t(r) = -r**3 - 10*r**2 - 9*r + 5. Determine t(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q\/((q\/q**(1\/4))\/q))*q**(10\/11) assuming q is positive.\nAnswer: q**(29\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 22 + 10 + 12 + 16 + 4*n + 0*n**2. What is r(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5213592 and 1464.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 6675403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 49 * -0.304\nAnswer: -14.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -4*b**2 + 5*b. Let v(k) = -6*k**2 + 8*k. Let d(t) = -8*h(t) + 5*v(t). Let g be 30\/105 + 2\/(-7). Let x(y) = 2*y - y + g*y. Give d(x(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -367*l - 3885. Determine p(-8).\nAnswer: -949","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ed3 (base 15) in base 12?\nAnswer: 1b30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**3 - l + l)*(0 + 2 - 3)*(-l - 16 + 16)*(-4 + 4 - 1).\nAnswer: -2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, m: 4, o: 5, y: 1, q: 2}. Give prob of picking 2 m.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7600.459 and -0.224294.\nAnswer: 7600.234706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1315, -4214, -7113, -10012?\n\"Answer: -2899*y + 1584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 366116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/22*(-6 + (-77)\/(-14)). Which is the nearest to 4? (a) j (b) 3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 + -481. Let d = 520.907 + v. What is d rounded to one decimal place?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5a58 - -3?\nAnswer: 5a5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 36*p**4 - 224*p**3 + 372*p**2 - 216*p + 32 = 0. What is p?\nAnswer: 2\/9, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 11*z + 9. Let u be p(-9). Does 11 divide u\/(-6)*48\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1595 - -1674. What is the remainder when o is divided by 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171 = 29*j - 32*j. Let y = -55 - j. Solve y*p = p - 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 2*r + 3 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 168907523?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 976016017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 0) + (-52 - -43) + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 4:01 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -436157286 and -0.125?\nAnswer: 436157285.875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/7)\/h**(-1))\/(h**2\/h)**(-2\/79))**(2\/125) assuming h is positive.\nAnswer: h**(1292\/69125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -9. Let z be 8\/6*6\/4. Let g = 36\/13 - 226\/91. What is the closest to -0.1 in f, z, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3780 = q, z + 9428 = 3*q - 1902. List the prime factors of q.\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -37 in -16, 5, -2?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (13 - 10)*3\/9 + -1. Factor -4\/3*w**3 + 0*w**2 + k + 0*w + 4\/3*w**4.\nAnswer: 4*w**3*(w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1157034?\nAnswer: 2, 3, 79, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -28275 less than -28193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, h: 2, d: 1, o: 2, m: 10}. What is prob of picking 1 s, 1 o, and 1 m?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 50153736.\nAnswer: 1\/8358956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j**3 - 3*j**2 - 5*j - 6. What is the tens digit of n(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 != -3785?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 8:02 AM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 449 - 447. Suppose -4*m + 3*p + 14 = 4*p, y*m = 2*p + 2. Let l = 0 + 0. What is the third smallest value in l, -3, m, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 + 7*s - 19. Let f be b(-11). Let w = f - -968. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1638558 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - w + c + 4 = 0, -5*c - 20 = w. Suppose -2095 = 3*j - 2101. Solve w*x = j*x + 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h**2 + 2*h + 2. Let x(f) = -7*f**2 - 5*f - 5. Let c(u) = -5*r(u) - 2*x(u). Suppose 0 = 4*s - 2*s. Let y(k) = 2*k + s*k + k. Calculate c(y(p)).\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3.056*0.3\nAnswer: -0.9168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-30)*3\/(-48)*-1. Let d(u) be the third derivative of 0*u**4 + 0*u**3 + 1\/240*u**6 - k*u**5 + 2*u**2 + 0*u + 0. Find t, given that d(t) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*g + 203 = 4*h + 39, 0 = -2*h + h - 4 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -20. Let f(d) = -d + 9. Let a be f(q). Let l be (1\/2)\/(2\/512). Calculate the greatest common divisor of a and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 5*f + 25*f - 3 + 5.\nAnswer: 30*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -864*p**2 + 2*p - 646387?\nAnswer: -1728*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*a**3*n**2 - a**3 - 30*a**2*n**2 + 229*a*n**2 + 2*n**2 wrt a?\nAnswer: -36*a*n**2 - 6*a - 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -396914, -396920, -396940, -396980, -397046, -397144, -397280, -397460?\nAnswer: -397690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - (0 + 0 + 1). Suppose 3*l - 22 + 4 = j. Does 6 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25 + 8272\/(-330))\/15*-6.\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -97.11 in -1\/3, -144, 3\/5?\nAnswer: -144","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 573944 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v**3 - 20172*v**2 + 25462080*v - 76204800 = 0 for v.\nAnswer: 3, 2520","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5894852*q**3 - 4539674*q**2 wrt q.\nAnswer: -35369112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100011 (base 2) to base 16.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 482 + -478. Suppose 6*s + 2*y = 51 + 3, 49 = o*s - 3*y. Solve -30 - s = -8*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - s = -146, -4*s + 4 + 4 = 0. Is 12 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - 5*c**2 + 3*c - 28. Let a be o(6). Calculate the greatest common divisor of 650 and a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*d - 66*d + 12*d + 18*d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -15a + -3?\nAnswer: -15d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.13? (a) 0.5 (b) 0 (c) -2\/9 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8785818 and 698382.\nAnswer: 8622","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**3 + c**2 + 3*c - 3. Let h be k(2). Suppose 0 = 4*x - w - h, 0*x + 3*w = -x - 4. Let y(g) = 0*g**2 - 2*g**2 + 2*g**2 + x*g**2. Determine y(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 85.071?\nAnswer: -425.355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i**2 + 2*i + 2. Let m(d) = 25*d**2 - 35*d - 11. Calculate -m(n) - 6*u(n).\nAnswer: -13*n**2 + 23*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -5*u + 23, 0 = 2*q + 5*u - 470 + 463 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 175 + -172. What is the tens digit of (-23130)\/(-75) - 2\/15*n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 39205.411 to the nearest one thousand.\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qx when two letters picked without replacement from pkmkmxxxmmxkqkxmxkk.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 217 and 8680?\nAnswer: 8680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 547 = 122*l + 88 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 + -8. Suppose -9*g + 42 = -39. What is the remainder when n is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -504*p + 28. Let j(s) = 164*s - 9. Calculate 16*j(k) + 5*o(k).\nAnswer: 104*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cjct when four letters picked without replacement from {j: 3, t: 1, p: 2, c: 2, u: 1, l: 3}?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -8 (c) 14 (d) 0.04 (e) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 666943449 and 3?\nAnswer: 666943449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/24*168\/(-60)*-2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j - 3*j + 4*j)*(1 - 2*j**3 - 1) - 3*j**4 + 3*j**4 + 3*j**4 + 7606*j + 1446*j**4 - 7606*j.\nAnswer: 1453*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2477?\nAnswer: 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.3, 16, -0.4, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9849.\nAnswer: 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(-220))\/(((-92)\/(-30))\/23)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1509*c**2 - 3416*c**2 + 667*c**2 to u + t*c**2 + s*c and give t.\nAnswer: -4258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2 - 5 + 2 + 0 - t. List the prime factors of p(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of r**8\/5040 - r**6\/540 + r**4\/72 - r**3 - 5*r**2. Let t(m) be the first derivative of y(m). Factor t(n).\nAnswer: (n - 1)**2*(n + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(75))**2 + sqrt(75))*6 - (4 + sqrt(75) + 1 + sqrt(75))**2 - -6*(3*(-2 + sqrt(75)))**2) + 3.\nAnswer: -1150*sqrt(3) + 4394","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 + 31 - 9)*(t**2 + 4*t**2 - 6*t**2) - t**2 - 3*t**2 + 8*t**2.\nAnswer: -37*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -441, -436, -427, -414, -397?\nAnswer: -376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5380 rounded to the nearest 100?\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*i - 44*i + 18 = 0. What is the greatest common divisor of 750 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**3 - 6*x**3 + 2*x**3)*(0 + 0 - 2*x) + 2*x**4 - 6*x**4 + x**4 + 4 - 4 + x**4.\nAnswer: 2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 141098.72 to the nearest 100.\nAnswer: 141100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 4:06 AM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 1\/3, -1\/7, -2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 281cfa?\nAnswer: -281cfc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - -3. Let z(k) = k**2 + k - 3. Calculate the smallest common multiple of s and z(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15)\/12*(-5 - -93). Let k = 326 + c. What is the remainder when k is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/2))**44\/(o*o\/(o*(o*o**(-2\/7)*o)\/o))**(-37) assuming o is positive.\nAnswer: o**(-388\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of v**5\/60 - v**4\/4 + 3*v**3\/2 - 2*v**2. Factor s(q).\nAnswer: (q - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -141 or 0.09002?\nAnswer: -141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -201*s. Let j(a) = 1854*a - 2. What is m(j(g))?\nAnswer: -372654*g + 402","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, -8699, 1 in decreasing order.\nAnswer: 1, -23, -8699","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1373 + -415?\nAnswer: e5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 9*k**2 - 3*k + 13. Is p(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h - 948 = -2460. List the prime factors of h.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 341 and 2889634.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 1, -20, 35, -2, 4 in increasing order.\nAnswer: -20, -4, -2, 1, 3, 4, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 379*o + 6513 = 3*b + 382*o, 4*b - 2*o = 8672. Does 41 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 77584129 to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/5)\/(2\/(-10)). Suppose 0 = -0*c - j*c. Is 7 a factor of 0 + (19 - (c + 1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 21*m**2 - 81*m - 561. Give p(-9).\nAnswer: -804","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + -13 + 0 + 27. Solve f = -3*u + 4*l, -u + 4*l = -1 + 5 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -182*j - 2610*j + 693*j.\nAnswer: -2099*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1318877809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - (2 - 3 - 109). Suppose 3*z = 0, -p = -2*z - 2 - 2. Suppose p*k - 35 = 9. What is the highest common divisor of m and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 7. Let n = 2 + 4. Calculate the least common multiple of a and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4758065 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -73b7 + 5?\nAnswer: -73b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**5 + 0*g**5 + 2*g**5)*(0 + 1 - 2) + g**4 - g**5 - g**4 - 28*g**5 - 151767 + 151767 + 5*g**3 - 5*g**3 + 3*g**5.\nAnswer: -24*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 5:55 PM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -19*c**2 - 73*c + 14. Let f be s(-4). Solve -4*m - a - 13 = 0, -3*m = -3*a - f*a - 19 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/(-18))\/((-2)\/(-6)). Suppose -o*q = 4*p - 0 - 2, -5*q + 50 = -5*p. Solve -4*u = 2*f + 14, -q*u = -4*f - 2*u - 2 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27018267, 27018290, 27018313, 27018336, 27018359, 27018382?\nAnswer: 27018405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 66 times -389\nAnswer: -25674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -59 - -14. Let r = w - -68. Let m = r + -22.6. Which is the third smallest value? (a) m (b) 5 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 733 a factor of 7531199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from guyvgsysj. What is prob of sequence yv?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -69, -0.3, 1, 2\/15?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 304 + -304.462. Let u = 0.562 + l. What is the nearest to 0.1 in u, -0.1, -1, -1\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 532093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = -5*j - 4*m, 3*j + 42 = 6*m - 4*m. Suppose 3*k - 231 = -30. Let h = j + k. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.18 - 0.58. Let g = l - -0.16. Let n = g + 0.44. What is the second biggest value in 3\/7, -1\/3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 661 = -119*n, 161*n + 4*c - 63 = 166*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.4, 3, 24.2, -1\/5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 482.32 micrometers in kilometers?\nAnswer: 0.00000048232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3646\/3 - -1217. Let a(n) be the first derivative of n**5 + 0*n + 9 + 0*n**2 + 0*n**4 - c*n**3. What is the third derivative of a(g) wrt g?\nAnswer: 120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 equal to -104?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*r - 209*r = -93*r - 320544. Is r a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z + 3. Let a(l) = l + 3. Let s be (1 - 2)\/((-11)\/55). Give s*w(u) - 4*a(u).\nAnswer: u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -39. Suppose 4*z + 4*y = -1 + 9, -5*y - p = -3*z. What is the remainder when 2 + 100 + z + -4 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 77 = -7*f. Let x(v) = -v**3 + 8*v**2 + 5*v + 6. Let g be x(6). Let a = f + g. Calculate the remainder when 59 is divided by a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d - 7*d - 75 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/4, -4, 70, -0.5, 1 in decreasing order.\nAnswer: 70, 5\/4, 1, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -2*k + 48, -k = -r - 7 - 5. Let g = r + 22. Suppose f = -5*t - 4*f + g, 2*f = -10. What is the remainder when 13 is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48015861 and 84.\nAnswer: 1344444108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 133*w**4 + 1126 wrt w.\nAnswer: 532*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 34572.65 weeks?\nAnswer: 20909538720000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/427 and 1090\/(-10248) + 1472\/15456?\nAnswer: 1708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q + 12. Let d be j(-10). Solve -d*o + 3 = 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 8*y**2 - 4*y - 4. Suppose -5*i - 3*h = -110, 4*i - h - 88 = h. Let s(p) = p + i - 3*p + p + p**2 - 23. Determine -4*s(d) + z(d).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 265.81 - 1.81. Let j = -263.99661 + c. Round j to 4 dps.\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12881b - -5?\nAnswer: 128823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 10*r**3 + 4*r**2 + 10*r + 8. Let d(m) = -2*m**3 - m**2 - m. Let q(y) = -8*d(y) - u(y). What are the prime factors of q(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/6 - 26\/(-4). Suppose 5*b = 4*d - 36, -q*d + 16 = -4*b - 20. Is 4 not equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13023033 (base 7) to base 11.\nAnswer: 73834a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-10\/7)\/(z\/(z**(-27)\/z)) assuming z is positive.\nAnswer: z**(-213\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -673*h + 123*h + 118*h + 111*h + 110*h + 203*h.\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 15 + 5, -h - 40 = -5*g. Suppose 3*l + 4 = 1. Let s = g + l. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -15. Let p(n) = -n**3 - 5*n**2 + 6*n + 2. Let h be p(k). Let c(x) = 2*x**2 + 4*x**h - 5*x**2 + 5*x. Give c(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111000010011101110110 (base 2) in base 7?\nAnswer: -21453221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) 0 (c) 111\/5 (d) 17 (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11249771*c**5 - c**2 + 10850699*c wrt c?\nAnswer: -224995420*c**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 4*g**2 + 6*g - 1. Let v be p(5). Let b = 384 + -383.532. Let a = b + 0.032. Put -4, v, a in decreasing order.\nAnswer: v, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1236 a factor of 118740048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 723600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-442156)\/(-3432) - 129)*(2\/(-9)*3 - -18).\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6153023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -16*j - 6. Let z be (-2)\/4 - (-3)\/2. Let g(v) = 3*v - 2*v + 2*v + z. Let s(k) = -31*k - 29. Let w be s(-1). What is w*n(o) + 11*g(o)?\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4494 by 7.\nAnswer: -642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 5*b - 3 - 32, 17 = n - 4*b. List the prime factors of (-50)\/(-4)*40\/n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -167946, -167951, -167960, -167973, -167990, -168011?\n\"Answer: -2*x**2 + x - 167945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 8892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/9 and (29 - (1 - -31)) + (-446)\/(-165)?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44 + 10 - 1561*k + 5 + 18 + 11.\nAnswer: -1561*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 108.99753 minutes in hours?\nAnswer: 1.8166255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/(-6))\/(10\/(-15)). Suppose -m = -2*b + b. Solve -g + b = 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5c3 - 51?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1173, -1238, -1303, -1368?\nAnswer: -1433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3373151235.\nAnswer: 3, 5, 97, 2318317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 40 = -k. Let p(i) = 84*i - 7. Is p(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 172259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 8 + 11)*(1 + 1 - 3)*(2*h + 0*h - 4*h) - 21*h + 20 + 11*h + 8*h.\nAnswer: 28*h + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 2:48 PM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10862386 to the power of 1\/3, to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 = -5*b + b. What is the remainder when 56 is divided by (b\/8)\/(5\/20)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 212 (base 5) to base 2\nAnswer: 111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f**5\/f*f)*f)\/f*f**1\/f)\/((f*f**(3\/4))\/(f**(-7)*f))*(f\/f**2)**(2\/5)*f*f*f*f*f**(-2\/7)*f*f**(2\/7)*f assuming f is positive.\nAnswer: f**(-103\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - n - 3. Let f be v(0). Let a(p) = -p**2 - 6*p + 4. Let l be a(f). What is the greatest common factor of 13 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -63\/845056 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1294208*w + 1776 = 1294245*w for w.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus -0.36949837?\nAnswer: -0.66949837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-242)\/690 + 1 + 28\/(-42). Suppose 32 = -5*c + 2. Let i = -7 - c. Which is bigger: i or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104232, -104235, -104240, -104247, -104256, -104267?\nAnswer: -104280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*d + 24 = -153*d - u, 5*d - 2*u - 23 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -53.72726 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50711423.\nAnswer: 7, 37, 83, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*h**4\/7 - 804*h**3\/7 - 216*h**2 + 15824*h\/7 - 19104\/7 = 0. What is h?\nAnswer: -199, -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1383 - (-11 + (-6 - -13))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 237, 377, 515, 651?\n\"Answer: -i**2 + 143*i + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d**3 - d. Let v be a(-1). Suppose 0*f = v*f - 180. Let h(u) = 4*u - 8. What is the remainder when f is divided by h(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 2, 2\/121 in decreasing order.\nAnswer: 6, 2, 2\/121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*k - 112*k = 88. Solve -12*h + 2 = -k*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 764, 3036, 6816, 12098, 18876, 27144, 36896?\n\"Answer: -k**3 + 760*k**2 - k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 160146 and 2730231?\nAnswer: 2583","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -413819, -413801, -413783, -413765?\n\"Answer: 18*n - 413837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 10*j**2 + 9*j + 69. Let k be u(11). Let s = k + -731. List the prime factors of s.\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 72\/396 + 1316\/22. Let a be (-4 - -7)*10\/l. Factor -1\/2*g - g**4 + 0 + g**2 + a*g**3.\nAnswer: -g*(g - 1)*(g + 1)*(2*g - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (3 - (-2 + 7)) + (-163)\/(-6) and -20\/61.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 6*w + 4*w + (-8 + 7 - 8 + 0 + 1 - 2 + (-4 + 2 + 1)*(0 - 2 + 0))*(-895 + 895 - 45*w))*(-3 - 3 + 9).\nAnswer: 1074*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 4*k = 15 + 3, -4*k + 4 = 4*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -43*k + 17*k + 4 + k**3 + 3*k**2 + 26*k. Let s be g(-2). What is the first derivative of s + 28*u**2 + 1 - 4 wrt u?\nAnswer: 56*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2558131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a (base 16) in base 11?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eheehh. Give prob of sequence ehh.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x - 1. Let r be c(-4). Suppose -r + 5 = a. Suppose 3*p - 5*p - 2*q + 182 = 0, 0 = -a*q. What are the prime factors of p?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2406279949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19046246 to the nearest integer?\nAnswer: 4364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.68, 18, 12, -6, -0.3?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -404 (b) 0.3 (c) 4 (d) 4\/7 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1062*v**3 + 3 - 26*v + 4 + 456*v**3 wrt v.\nAnswer: -3636*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.804 + -0.994. Let z = 229.69 - 241.7. Let i = z + l. What is i rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-525)\/(-140)*(-13)\/((-65)\/(-8))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 394 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 3:39 PM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*f**2*k**2 - 13274*f**2*k + 26*f**2 - 9797*k**2 - 28*k - 1 wrt f.\nAnswer: -10*f*k**2 - 26548*f*k + 52*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - 1. Suppose -3*w + 3 = -0. Let b be h(w). Let x(k) = k + 0 + b. Let i(r) = -3*r. Give x(i(y)).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.21 - 0.19. Let r = -2168 + 2168. Put 1, r, v in descending order.\nAnswer: 1, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2232946638 to the nearest integer?\nAnswer: 47254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, z: 8, e: 1, b: 2}. What is prob of picking 2 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + -3 + 2 - 5) + 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 8*y - 7. Determine k(-10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2))**(18\/11))**(-1\/36) assuming d is positive.\nAnswer: d**(1\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 not equal to 10518?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 114833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-85)\/(-1275) - (-7)\/(-15).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -4 + 12 + -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 604, 4 in ascending order.\nAnswer: 0, 4, 604","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 6*m - 3. Let u be t(3). Solve -u + 0 = -5*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-360)\/9 + (5 - 1). Let x = -14 - t. What are the prime factors of x?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 - 1)*(0 + j + 0) + 1 + j - 1 - 3*j + 3*j + 2 - 2*j + (0*j + j - 3*j)*(-15 + 7 - 10) to b + a*j and give a.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -16 + 6 + 5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116596 = -2*l + 3*m, -68*l + 65*l + 10*m = -174927. What is the ten thousands digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -1. Let k(c) = c + 7. Let l be k(s). Suppose -u + l*u - 18 = 0. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4739203 to the nearest one hundred thousand.\nAnswer: -4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**14\/c*c\/(c**12\/c))\/(c*c\/(c*c**2)*(c**(1\/5)*c)\/c))**(-1\/62) assuming c is positive.\nAnswer: c**(-19\/310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -112, -165, -218, -271, -324, -377?\nAnswer: -430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 178022 and 1363388?\nAnswer: 4342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + b + 18 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27.07 + -0.07. Let d = -27.55 + n. Let m = -0.54959 - d. Round m to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001268018 rounded to seven decimal places?\nAnswer: 0.0000127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 4 + 1)*(1 + 0 + 0)*(-104 - 46 - 56)*(2 + 1 - 6)*(31*b**2 - 9*b**2 + b**2) to the form j*b + c*b**2 + s and give c.\nAnswer: 28428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -185 - -186. What is the lowest common multiple of -10*(4\/j + 2758\/(-70)) and 2?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11.9999935 - 12. What is k rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -523, -3, -13142 in decreasing order.\nAnswer: 2, -3, -4, -523, -13142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 282752709?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.3156 - 57006?\nAnswer: -56998.6844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1368838.\nAnswer: 2, 684419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 58 + 849363\nAnswer: 849421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/24*(-224)\/14\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b**3 + 8 + 8*b + 4*b**3 + 7*b**2 - 6*b**3. Let x(m) = -m. Let k(w) = 18*w - 30. Let u(g) = k(g) + 15*x(g). Let z be u(8). Determine r(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(-1 + sqrt(2448)) + sqrt(2448) + (0 + sqrt(2448))*-1 + sqrt(2448) - (sqrt(2448)*3 + 3)*5)*-4)**2 + -2.\nAnswer: 72960*sqrt(17) + 3922574","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1215575?\nAnswer: 5, 48623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 8*f. Suppose r - 3 = -3*w, -4*r + 3*r - 2*w + 3 = f. Suppose r*m - 13 = 17. 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: What is the nearest to -6\/7 in -3, 0, -0.6, -2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gn when two letters picked without replacement from {j: 4, g: 2, u: 2, f: 2, n: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 + 125 = 2*x. Suppose 6*a = 5*a + 4*n + 84, -n = 2*a - 141. Let f = x - a. What is the highest common factor of 4 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 187*z + 19. Let j(x) = 514*x + 56. Let i(q) = -4*j(q) + 11*r(q). Let p(s) = 38*s. Determine i(p(o)).\nAnswer: 38*o - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-0.199\nAnswer: 0.0597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1087750.\nAnswer: 2, 5, 19, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 2\/21 (c) -4 (d) -210\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + u - 5*u - 31 = 0, 2*d = 4*u - 74. Suppose 77*v + 1856 = 19*v. Is v != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1471969833?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 18*f**2 - 7*f + 11. What is the hundreds digit of r(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 27462 + 1621?\nAnswer: 31303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.981 rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91982351.\nAnswer: 3989, 23059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08024 take away -200?\nAnswer: 199.91976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = w + 20, 126 = 5*w - b + 122. Let x(y) be the first derivative of 2\/9*y**2 + 1\/9*y**4 + 33 - 8\/27*y**3 + w*y. Factor x(d).\nAnswer: 4*d*(d - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - x - 2. Let s be u(2). Let w be (-3 + s + 4)\/1. Differentiate 3 + 3*f**2 - 10 + w + 4*f**2 wrt f.\nAnswer: 14*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -4*m**3\/3 + 5*m**2\/2 + 2. Let t(i) = -5*i**2 + 6*i. Let x be (-22)\/2 - (1 - 3). Let j = 4 + x. Calculate j*t(s) + 6*k(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -3025?\nAnswer: -4\/3025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l. Let f(g) be the second derivative of 5*g**4\/12 - g**3\/3 + 4615*g. Give c(f(b)).\nAnswer: -5*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -10) + -11 + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/5 of a centimeter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/7 in 3, 1\/5, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4100?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -115242352?\nAnswer: -115242352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/4*5 + 20\/(-80). Let x be 1\/(h\/40) - (-2)\/(-3). Suppose -2*m + x*m = 68. Calculate the remainder when 49 is divided by m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-8\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, 6, 2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/(-3) - (-23)\/((-644)\/280).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 3*o - 25 = 5, 4*l = 5*o - 45 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n + 58. Let o(p) = -p - 39. Let b(x) = 7*o(x) + 5*t(x). Let q be b(-5). Suppose q*a - 4*a = -506. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1814 (base 11) to base 14\nAnswer: bb4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9797, 39470, 88933, 158192, 247253, 356122?\n\"Answer: a**3 + 9889*a**2 - a - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1637254 + 79?\nAnswer: 1637333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -n**5\/100 - n**4\/20 - n**3\/10 - 14*n**2 - 3. Let d(o) be the second derivative of h(o). Let d(x) = 0. What is x?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 588198 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a microgram in nanograms?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14719 is divided by 734?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.2795867 litres?\nAnswer: 279.5867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d - 26. Give i(-9).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 4:32 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 35*d**2 - d + 1. Let u be g(1). Let v = u - 28. What is the remainder when 40 is divided by 2\/((-2 + v)\/35)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4\/13))**(-10\/7)\/(u*u**4*u)**(2\/53) assuming u is positive.\nAnswer: u**(1028\/4823)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/4)\/(5\/(-4 + -6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cddddc. Give prob of sequence cc.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-20)*-10)\/(-2).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**5*i**(-2\/5)\/i*i*(i*i*i**(-2\/11))\/(i\/((i*i\/i**(3\/11))\/i*i)) assuming i is positive.\nAnswer: i**(393\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z - 3 = -4*z. Let m be 2 - z - (4 + -6). Let x(p) = -3*p**2 - m*p + 42 + p**2 - 45. Give x(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 12 + 5 + (9 - 2) - -1\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91)\/(sqrt(14)\/sqrt(2)) - 1*sqrt(13)*6)*5*-2)**2.\nAnswer: 32500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*c + 11126 - 332034. Suppose c = 42*l - 13744. What are the prime factors of l?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 648 and 2673?\nAnswer: 21384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1292854, -1292856, -1292848, -1292824, -1292778, -1292704, -1292596?\n\"Answer: d**3 - d**2 - 6*d - 1292848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -8*a**2 + 196*a - 10858*a**3 - 20*a**2 + 220 + 10854*a**3 = 0.\nAnswer: -11, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 17, -45, -185, -409, -723, -1133, -1645?\n\"Answer: -u**3 - 33*u**2 + 44*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 173*x + 2433. Calculate d(-14).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5537428 and 97508?\nAnswer: 5132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, e: 5}. What is prob of picking 1 e and 1 p?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - 47*l + 351. Calculate the remainder when 75 is divided by q(39).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/10)\/((-5)\/(75\/9))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6677993 litres to millilitres.\nAnswer: 667.7993","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*v + 4 - 10 + 6 in the form i + r*v and give r.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-9 - (-2 + -24)) - -4?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13 is divided by 23\/7 + 20\/(-70).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**3\/4 - 1459*m**2\/4 + 18379*m - 123816 = 0.\nAnswer: 8, 44, 1407","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2941*r + 2941*r + 1 - 1 + 3*r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((3*sqrt(84)\/sqrt(4))\/((-2*sqrt(30))\/sqrt(10)) - (-1 + (sqrt(252)*-3)**2 - (sqrt(252) + -3 + (-1*sqrt(252))**2))).\nAnswer: -9*sqrt(7)\/2 + 2018","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 239202099?\nAnswer: 3, 83, 106739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10 - 9*n - 36 + 10*n**2 - 54 - n - 10 wrt n?\nAnswer: 20*n - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/(y\/(y**4\/y*y)*y))*y**(-2\/3)*(y\/y**(1\/3)*y)**29 assuming y is positive.\nAnswer: y**(137\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.225887 millennia to decades.\nAnswer: 422.5887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -351291?\nAnswer: -140516.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -k**3\/3 - 5*k**2 + 2*k - 3. Suppose -3*z = -o + 33, 4*z - 35 = 6*z - 5*o. Let p be c(z). Solve p*j + 5 = -3 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.04897 + -0.0537. What is x rounded to four decimal places?\nAnswer: -0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z + 4*y + 28, 486*z + 3*y + 11 = 485*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3*s = -1175, -3*s - 50 = -5*l + 1095. Calculate the remainder when 181 is divided by 38\/(-95) + l\/5.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*f + 25*f + 30 = -30 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35921280 a multiple of 2120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/15*5*(-48)\/(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 1378260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 113*t**2 - 225*t + 583. Calculate i(-115).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-21)\/56*-6*32\/(-3). Let i(u) = u + 29. Let w be i(b). Find x, given that -27\/2*x**3 + 9*x**4 + 0 - 3\/2*x**w + 0*x + 0*x**2 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/21000 and 117\/3500.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1155 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s - 5. Let n be g(5). Suppose n*l + l = -4. Let p = -2 - l. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3243.99 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -2 (c) 0.5 (d) 2 (e) 0.4 (f) 0 (g) 0.4284\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2. Let j be x(2). Suppose 0*z + j*z = 3*b - 133, 2*b - 82 = z. Let a = 57 - b. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 363 = 3*k + 2*n + 301, -n - 8 = -k - 39 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-1)*(-9)\/549*(-33)\/33\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -3*l - 4*q, 0*l + 2*q - 16 = -2*l. Suppose 4*c = -3*h + 2061, -2*c + 0*c = l*h - 2758. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 5*f + 20. Let d(a) = -3*a**3 - a**2 + 14*a - 59. Let v(k) = -6*d(k) - 17*g(k). Let b be v(-6). What is the highest common divisor of b and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -a**5\/60 + 7*a**4\/12 - a**3 - 3*a**2. What is the units digit of h(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-228)\/10*(-4)\/(-6). Let g = -653\/40 - c. What is the common denominator of -103\/10 and g?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-10) + 5243\/(-740). Let b = -32\/37 + j. What is the common denominator of b and ((-9)\/2)\/(195\/(-377))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-114)\/30)*4*20\/16?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8105.993 years to months.\nAnswer: 97271.916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 46 and -0.126.\nAnswer: -5.796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2784860 is divided by 547.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 8*y**2 + 4*y - 12. Determine u(8).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9482764\/156 + (-314)\/(-6123)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + p + 16. Let q be i(4). Suppose 16 = q*f - 4*y, y + 4*y = 5. Solve 0 = -4*j - f*h - 27, 0 = -4*j + h - 7 - 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 5) to base 10.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 4*v = -6776, 3*y + 3380 = 5*y - 4*v. Suppose -5*x + y = 4*r - 263, -1949 = -5*x - r. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p - 1. Let w(g) = -2*g**2 - 5*g - 2. Give -3*f(c) + w(c).\nAnswer: -2*c**2 - 11*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 659343 or 659346?\nAnswer: 659343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 355.2 from -0.06721856.\nAnswer: -355.26721856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.8 rounded to 0 decimal places?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3707088 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47 - 47 - 3*h**3)*(-4 - 1 + 3).\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 196 (base 11) to base 10\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -j - 2*i, 11*j + 6 = 16*j - 3*i for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12400 and 8600?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 445010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkccjaajktkakbjcj. Give prob of picking 2 a, 1 b, and 1 t.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 - (-6)\/(-1 + 3\/(-3)) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of 7*i**6\/2 - 2*i**5\/5 + 35*i**2\/2 - 36. What is the second derivative of k(r) wrt r?\nAnswer: 420*r**3 - 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 9}. Give prob of picking 2 p.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 0.5 (c) -21 (d) 17 (e) 5 (f) -11\/26 (g) -1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.182 + -0.918. Let m = -0.23 - -15.13. Let g = m - h. Which is bigger: -2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34\/12)\/(((-91)\/8190)\/(4\/(-30))).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/(sqrt(2)*-1*-2).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8118, -8109, -8094, -8073, -8046, -8013?\nAnswer: -7974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 1:52 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3.01 (b) -0.5 (c) -6\/11 (d) 4\/7 (e) -0.04 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.3 + -0.7. Suppose i = 5*i, -12 = -4*c - 5*i. Suppose -c*l = -l. Which is smaller: r or l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9588 by -6.\nAnswer: 1598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9\/68 + -2\/17. Let y(m) = m**2 - 8*m - 29. Let s be y(9). Let z = -0.0874 + -0.4126. Sort z, s, j, 1\/2.\nAnswer: s, z, j, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17979 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + h**3 - 3 + 10*h**2 + 10 in the form f*h + q*h**2 + s*h**3 + z and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(864)*1 - sqrt(864))\/(5*(sqrt(12) - (sqrt(12) - sqrt(108))) - (-1*sqrt(84))\/sqrt(7)) + 2)**2.\nAnswer: -3*sqrt(2) + 41\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.094927, -0.06, -8 in increasing order.\nAnswer: -8, -0.094927, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of 4*l**3 + 0 + 20*l - 17\/2*l**2. Find the first derivative of h(r) wrt r.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0765 - 0.4265. Sort -1, t, 2\/7 in decreasing order.\nAnswer: 2\/7, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5987.\nAnswer: 5987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -1 - (0 + -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20\/15431 - 213800\/108017. Let o be 87\/13 + -2 + -3. Let j = o + s. Which is the smallest value? (a) -2 (b) 1\/4 (c) 0.1 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -68 - -292. Suppose -k = 3*q + 4*q. Let r be (q\/12 + 2)*-6. Calculate the greatest common divisor of 4 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -7*p + 8*p - 2*p. Let g(c) = 4*c. What is d(g(a))?\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.984 + 0.066. Which is the third smallest value? (a) h (b) 1\/4 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 6*v + 3*v)*(-3*v**3 + 15*v**3 + v**3).\nAnswer: -65*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 3\/2*m**2 - 5\/2*m + 5\/2*m**3 + 1\/2 - 2*m**4 = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -213 times 0.5\nAnswer: -106.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/5*(-15)\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5661 is divided by 854.\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -28*k + 6*k**2 + 22*k - 55*k**3 + 77*k**3 + 48 + 93*k**3. Let b(p) = -p**3 - p**2 + p + 1. Let w(n) = -6*b(n) - l(n). Differentiate w(i) wrt i.\nAnswer: -327*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of 2*i**3 + 5*i**2\/2 + 3*i + 33. Let u(s) = 7*s**2 + 6*s + 4. Give 6*j(n) - 5*u(n).\nAnswer: n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k + 5*k = 5*r + 5, -8 = 3*r - 2*k for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b - 2*w - 745 + 795, 4*b + 57 = 5*w for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -4. Suppose r = 5*t + 2*l - 67, 3*l - 1 + 13 = 0. What is the smallest common multiple of ((-24)\/t)\/(3\/(-15)) and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68497 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 14) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -45364*c**2*p**3 + c**2*p**2 + 2*c**2*q - 232*c*p**3 + 2*c*p**2*q - 3*c*p*q - 2*p**3*q + 2*p**3 wrt c.\nAnswer: -90728*p**3 + 2*p**2 + 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7211.\nAnswer: 7211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 30483132 to the power of 1\/2, to the nearest integer?\nAnswer: 5521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*v**3*w + 11*v**3 - 82388*v**2*w + 26*v*w - 113800*v with respect to w.\nAnswer: 2*v**3 - 82388*v**2 + 26*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - (12\/4 - 6). Let l = x + -3. Suppose l = -2*v + 20 - 0. What is the greatest common factor of 70 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2*u = -0*i - 16, -3*i - 5*u = 26. Let v = -12 - i. What is the units digit of 1 - 1\/(-1) - v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*f + 229 = 0, 2*t + 3*t - 1220 = -5*f. Let h = t - 167. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 203 (base 5) to base 6\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1280577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 497*d + 3311 = -1659 - 3479 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 28) + 4 - (-2 + -1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - 22*f + 7. Let z be (13\/(195\/(-12)))\/((-2)\/(-55)). Let r = -42 - -94. Calculate the lowest common multiple of g(z) and r.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 59314584, 59314591, 59314602, 59314617, 59314636?\n\"Answer: 2*o**2 + o + 59314581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5412584 by 1353146.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c - 16*c + 5*c + 15*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -89 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*r = -25*r - 10. Suppose 0 = r*q + 4*t + 120, -4*q - 256 = -2*t + 14. Is q greater than or equal to -67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.4, -64, 3 in increasing order.\nAnswer: -64, -5, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -72, -11, -2\/15, 3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 593366 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 15, 0 = 2*d + 6*r - 7*r - 3. Factor -64*t + 28*t**4 - 35*t**2 - 716*t**3 + 500*t**d - 48 + 335*t**2.\nAnswer: 4*(t - 6)*(t - 1)**2*(7*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w - 38*w + 189 = 0. Let g = -1 + 2. What is the highest common divisor of w and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 - 15. Let s = 5 - u. Let t = 1.2 + -0.2. What is the nearest to 2\/3 in t, s, -2\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -696*z**2 + 72*z - 4*z - 2 - 66*z in the form a*z**2 + q*z + d and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 1\/2, 132, 128?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2604 and 190743.\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -444*u + 0 + 793*u + 0 + 0.\nAnswer: 349*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2493 + 0.0507. Which is greater: -135 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*p - 4*c, 0 = -p + 5*c + 6 + 5. Let d be ((-48)\/14)\/((24\/(-28))\/p). Calculate the common denominator of 30\/(-8)*6\/d and 113\/24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of 11*s**4\/12 - 2*s**3 + s. Find the second derivative of d(z) wrt z.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -8, -20, -36, -56, -80, -108?\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43052 by 8.\nAnswer: -10763\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*b + 32. Suppose -b = 4*k, -4*t + 0*t + 12 = -2*k. Let p(n) = -n**2. Let c(l) = 4*l**2 + 2*l + 1. Calculate t*p(i) + c(i).\nAnswer: 2*i**2 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 b when two letters picked without replacement from {r: 6, b: 2, s: 4, p: 2, q: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 154*a**3 - a + 1. Let f be c(1). Suppose w + t + 1030 = -3*w, 0 = w - 2*t + 253. Let x = 271 + w. Calculate the greatest common factor of f and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4859 is divided by 499.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1654 + -1650. Let v(y) = y - 1. Let g be v(-4). Which is the third biggest value? (a) g (b) 2 (c) p (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07*-56.85\nAnswer: 3.9795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10460 and 8891.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -32, -0.5 in descending order.\nAnswer: -0.5, -3, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1811419 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/14 + (-108)\/(-42). Which is smaller: 7\/4 or r?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 943 - 943 - 471*p**3.\nAnswer: -471*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 198*g**2 + 39*g + 7727. Give m(-198).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230759 = 47*y - 24*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -1. Let r = 5\/2789 + 1029116\/13945. Let s = r + -73. Which is the nearest to u? (a) s (b) -0.4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/9, 1\/3, -4, 5, 30?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 103078591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25452 and 63717264.\nAnswer: 446020848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03? (a) -0.53 (b) 1 (c) -1 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c + 8*i + 11, 15*i = -c + 10*i + 8 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*-14376.\nAnswer: -129384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 396850393 to the nearest integer?\nAnswer: 735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144*p - 218*p - 149*p + 2 + 1 - 1.\nAnswer: -223*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/(-12) - (-4)\/6. Let r(l) = 3*l**3 + 2*l**2 + 5*l - 5. Let z(c) = -c**3 - c + 1. Determine u*r(b) - 5*z(b).\nAnswer: 2*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d + 8. Let f be t(-8). Let p be (f + 0)*(-1 - 0). Solve 2*i - 8 = -p*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12325 (base 6) to base 11\nAnswer: -1435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 763 + 10*f + 413 + 381 - 151.\nAnswer: 10*f + 1406","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3435 - -452?\nAnswer: 4107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 13839.\nAnswer: 55356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000407456 rounded to six dps?\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9361\/(-1386) + (-2)\/(-18) and -19\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 y when two letters picked without replacement from yhyrzz?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express u + 19*u - 3*u in the form d*u + n and give d.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4 - 1192*y**3 + 3582*y**2 - 3584*y + 1195.\nAnswer: -(y - 1)**3*(y + 1195)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.38226 to 2 decimal places.\nAnswer: -11.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -57553339.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -877, -885, -893, -901?\n\"Answer: -8*h - 869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-4*(3 + sqrt(98)*2 + (sqrt(98) + 3 + sqrt(98))*5)**2*-1.\nAnswer: -288720 - 60480*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 62608?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of m**6\/225 - 14*m**5\/75 - 8*m**4\/15 + 704*m**3\/9 + 2560*m**2\/3 + 2786*m. What is n in q(n) = 0?\nAnswer: -8, -4, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 * -8.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 11:07 PM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -24314, 0, 46 in decreasing order.\nAnswer: 46, 0, -3, -24314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + 17. Let k(p) = 3*p - 31. Calculate the remainder when k(43) is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 37\/4 of a microsecond?\nAnswer: 9250","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 1920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -100*z - 920. Calculate d(-9).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-7)*9 + 4\/(-14). Solve -a = -2*y - 6, y + 2*y - b = 4*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-58)\/18 - ((-78)\/(-135) + 8\/(-10)). Put -0.3, 5, -5, 0.042, v in ascending order.\nAnswer: -5, v, -0.3, 0.042, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12.517774 or -2\/9?\nAnswer: 12.517774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of a**4\/12 - a**2 - 5*a - 7. What is n(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g + 2*o - 16, 31 - 45 = -4*g - o for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 6 = 5*q - 4*j, 0 = -5*q - 4*j - 8. Let m(g) be the second derivative of 0*g**2 - 1\/12*g**3 - 3*g + q - 1\/48*g**4. Solve m(u) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*z + 43 + 5. Is (-16 - -1)*z*(-31)\/(-15) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23\/(1355\/813 + 24\/(-9)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 696\/6*1\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-92920)\/(-3680) + 11\/(-6)*6\/(-4)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4160 = -93*q - 4392 + 2786 for q.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5834434.19 rounded to the nearest one hundred thousand?\nAnswer: -5800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*1*sqrt(7)*1.\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*((-3)\/(-1))\/(-18).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6646 is divided by 97.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/16 - 170\/8. Find the common denominator of 107\/10 and 710\/3960 + (-4)\/o.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -1279, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i + 9 = 3*x, x - 4*x + 3*i - 94646 = -94643 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lgl when three letters picked without replacement from lmqqlmxlmgq.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -96, 0, 2, -2, -3 in decreasing order.\nAnswer: 2, 0, -2, -3, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of v**5\/60 + v**4\/24 + 5*v**3 - 2*v**2. Calculate the remainder when z(0) is divided by ((-22)\/(-8))\/(2\/8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74626724, -74626721, -74626716, -74626709?\nAnswer: -74626700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-6)*276\/(-414)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1107881604*h**2 + 207885574*h - 2.\nAnswer: -2215763208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - (-4 + -3)) + (3 - 13 - -588). Solve -44*x - o + 232 = 0 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, u: 3, m: 1, n: 1}. Give prob of sequence uu.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 8*d - 4*d = -60, -2*l + 4*d + 30 = 0. Does 15 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiitt. What is prob of sequence ii?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**2 - 9*z + 12. Let t be w(11). Suppose -3*h + t = -2*b, -h + 4*b = -0*h - 55. Suppose 12 = c - h. List the prime factors of c.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110.3149675 rounded to one decimal place?\nAnswer: -110.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 665 * -166.\nAnswer: -110390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/8)\/((-26)\/8 - -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4+0.8359350109\nAnswer: 4.8359350109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.15 - 0.06. Let d = 6.91 + p. Which is the second smallest value? (a) 4 (b) d (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5660785 by -71.\nAnswer: -5660785\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*j + 1008 = 3*j. What is the remainder when j is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6316 is divided by 1057?\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 278 = 283. Suppose p = 2*j + 5*r, 4*j - 3*r = -5*r + 18. Solve j*x - x = -8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/9 + 61\/9. Calculate the greatest common divisor of u and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -950 - 944 + 2539 + 1260 - 953 + 3*g - 952.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wvvwvllwvggvwvvvvwlv. Give prob of sequence gvv.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -0.75.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11874 divided by -1.\nAnswer: -11874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -6. Calculate the common denominator of 6 + 2 - 5*(-1388)\/(-660) and (-6)\/l - (-25)\/(-21).\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 404 is divided by 93.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c - 13. Let q be l(-7). Sort q, 0.4, 0.9 in decreasing order.\nAnswer: q, 0.9, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 510*d**2 + 2 + 2259*d**3 - 510*d**2 - 2*d.\nAnswer: 2259*d**3 - 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 336056782757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 36409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -8343216 (base 9) to base 8\nAnswer: -21001503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30114355 at least as big as 30114355?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -42680 to the nearest one thousand.\nAnswer: -43000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 5*j - 231. Let y be t(47). Solve -17 = 4*b + 2*i - 7*i, -3*b + 2*i - y = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*c = 13*c - 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30634.\nAnswer: 2, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 703.86184 to the nearest 10.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 47655 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 246234 to the nearest integer?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2034062196662 + -0.4.\nAnswer: 2034062196661.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of 1\/5*q**3 + 3*q + 0*q**2 - 3\/100*q**5 + 0 - 1\/20*q**4. Find p, given that t(p) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((102\/30*-5)\/(16\/(-4)))\/((-1)\/(-16))?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -402*p**3 - 3*p**2 + 3. Let f be s(1). Let k be (30*f\/27)\/((-1)\/(-3)). Round k to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*8\/36*2\/4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7023448589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 173.\nAnswer: 51.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (15\/(-4) - 11\/(-22))*4. Let x(n) = n**3 + 12*n**2 - 14*n - 10. Calculate x(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111110 (base 2) to base 5.\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-160)\/72 - (-4)\/18\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13573*l*v + 78*v + 49 with respect to l.\nAnswer: 13573*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/2)\/(c*c*(c\/(c*c**(-5))*c*c*c)\/c*c*c))**25*(c**(-1\/8)*c*c**(1\/6))\/(c**(-2\/3)*c*c\/(c*c*c**(-1\/5))) assuming c is positive.\nAnswer: c**(-37319\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10935*a**5 + 25029*a**4\/4 + 13095*a**3\/4 - 2103*a**2\/2 - 159*a + 42 = 0 for a.\nAnswer: -2\/5, -1\/4, 2\/9, 7\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 5*l**2 + 19*l - 96. What is s(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-353017)\/(-145) + 6\/(-10).\nAnswer: 2, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3\/5, -1, 3\/2, -2\/13, -12\/5 in decreasing order.\nAnswer: 5, 3\/2, 3\/5, -2\/13, -1, -12\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0, 0.3, 5, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -g**3\/3 - 17*g**2\/2 + 17*g + 1. Suppose 3*p - 36 = 5*p. Let d be n(p). Do d and 1\/9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 200 + -149. Solve -10*m + 11 - x = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153*h = -149*h - 180. What is the remainder when 402 is divided by h?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003217218 to 7 decimal places.\nAnswer: -0.0000322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 16. Let k be 235\/45 - 4\/v. What is the second derivative of i + 3*i**2 - 2*i**2 + 3*i - k*i wrt i?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 728350889.\nAnswer: 7, 149, 397, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1*sqrt(891)*4 + sqrt(891))*6)**2 + -1 + 5*(sqrt(891)*1 + -2).\nAnswer: 45*sqrt(11) + 801889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-553)\/1106)\/((-2)\/23).\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ifmikkiieigff. Give prob of picking 1 g and 1 i.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 5*t + 2. Suppose 8 + 2 = 2*u. Let b be k(u). Let a(j) = 2*j + 1. What are the prime factors of a(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/5)\/((-4)\/10). Is 26\/(-4)*i\/1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 6 = -0*j - 5*l, 2*l - 43 = -5*j. Let i = j + -4. Suppose -i*c = -4*c + 17. Calculate the highest common factor of c and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.46 and 85969\/58 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.28 + -0.28. Sort j, -2, -3\/8 in decreasing order.\nAnswer: j, -3\/8, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 7*m**2 + 5*m - 8. Let t(w) = w - 2. Let f be t(-3). Let d(q) = -q**3 - 2*q**2 + 6*q. What is the remainder when d(f) is divided by h(-8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 30393931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -6*h + 8. Suppose -2*d + 3*w + 16 = 0, 3*d + 4*w - 17 = 7. Let k = d + 17. What is the remainder when k is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + (4 - (-4 - -8)). Suppose -484 + 1381 = 3*a + 3*k, -v*k + 608 = 2*a. Suppose -4*n = -62 - a. What is n rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9413 + 8*o + 2*o + 18818 - 9405.\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1*sqrt(52) + 1 + -5 - (1*sqrt(104)\/sqrt(2) + sqrt(260)\/(sqrt(15)\/sqrt(3))))**2 + 2.\nAnswer: 16*sqrt(13) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 6:37 AM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -363.62367 to 1 dp.\nAnswer: -363.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 959326920.\nAnswer: 2, 3, 5, 353, 7549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 3*s - 7. Let y be (-2)\/s + (-92)\/28. Let w = 0.5 - -2.5. Which is the nearest to 1? (a) y (b) w (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85bb (base 14) in base 8?\nAnswer: 55071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*r - 84*r - 7*j - 178 = -8*j, -r - 22*j + 101 = 0 for r.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-10)*10\/(-15). Let i = 0.3 + 6.7. Let r = 7 - i. Sort -4\/3, s, r in decreasing order.\nAnswer: r, s, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of 16*t**6\/3 - 144*t**5\/5 - 431*t**4\/2 - 104*t**3 + 163*t**2 - 48*t + 1383. Let p(m) = 0. Calculate m.\nAnswer: -3, -1, 1\/4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1950 and 754?\nAnswer: 56550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11.1 + 1.1. Let o = 11 - 6. Let s = o + t. Which is the closest to 0.1? (a) -0.1 (b) s (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -7*c**2 - 2*c - 1. Suppose -63*p + 89*p - 1456 = 0. Let t be p\/48*6 + -4. Let j(b) = -6*b**2 - b - 1. Give t*a(g) - 4*j(g).\nAnswer: 3*g**2 - 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5217 and 36237?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*d + 58 = g, -4*g = 3*d - 119. Let x = 5 + -11. Let j be (8\/x + 0)*-3. Calculate the greatest common factor of j and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3239\/2477790 + -2\/27531. What is the third smallest value in -2, -3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-182 - -11)*((-377)\/(-117))\/29?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 2*y**4\/5 + 4364*y**3\/5 + 127416*y**2 + 2491668*y\/5 + 371790 = 0.\nAnswer: -2025, -153, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14411 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**4\/19 - 46*d**3\/19 - 120*d**2\/19 + 1736*d\/19 - 1568\/19 = 0. What is d?\nAnswer: -14, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + 18*b - 25. Let x be ((-2)\/(-2))\/(((-3)\/(-45))\/1). What is the units digit of i(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(2 + -3 - 1). Suppose -4*v = -4*j + 28, -j + r*v - v = -3. Let l = -3 + j. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 5*s**2 - s - 2. Suppose -2*h + 25 = 3*h. Let r be k(h). Let c(w) = -w**2 - 7*w + 10. What is the tens digit of c(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -5*d + 31, 3*d + 5 - 17 = -u. Sort -1, 10, d in descending order.\nAnswer: 10, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-12)\/3)*13.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -621, -1382, -2147, -2916, -3689, -4466, -5247?\nAnswer: -6032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*m**2 - 2*m**2 + 9*m**2.\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*1*sqrt(44))\/sqrt(4).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -1\/5, -0.4, 2, -53?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -58648, -58637, -58626, -58615, -58604, -58593?\n\"Answer: 11*g - 58659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -2*i**3\/3 + 3*i**2\/2 + 4*i + 3. Let g be 4\/(-8)*(-6)\/1. Calculate r(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1048 - 1047.81. Which is smaller: j or 10?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 639 divided by 213\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 37462, 299853, 1012054, 2398969, 4685502, 8096557, 12857038, 19191849?\n\"Answer: 37484*m**3 + m**2 - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*o - 46 + 46)*((-78 + 78 - 29*o)*(2*o + 1 - 1) - o**2 + 6*o**2 + 4*o**2).\nAnswer: -343*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -523, -511, -475, -403, -283, -103, 149?\nAnswer: 485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(1\/(-3)) + 15. Let x = -14 + q. Solve -5*u - x = 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 - (-5 + 3)) + -73 + 78?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4460 = 1139*b - 120638 for b.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(500) + sqrt(500) + 2 - (2*sqrt(500) + sqrt(500) - (sqrt(5) + sqrt(15)\/sqrt(3))*-6))**2.\nAnswer: -44*sqrt(5) + 2421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 4. Let f(o) = -2*o**2 - o**2 + o**u. Let c(y) = -5*y. Give f(c(g)).\nAnswer: -50*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 3*p**2 + 6*p + 14. Let i be n(-4). Suppose -y + i + 2 = 0. What is the smallest common multiple of 11 and y?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.2 + 1.34. Let o = 0.04 - r. Which is smaller: 0.1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -125*s**2 + 47553*s + 47555. Determine z(-1).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4898, -4899, -4900, -4901?\nAnswer: -4902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 2 j, and 1 w when four letters picked without replacement from {w: 2, r: 1, z: 8, i: 1, j: 7}.\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43618 and 1158?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -5*c**3 + c. Let m be 11\/88 - (-14)\/16. Give b(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12111201 (base 3) in base 7?\nAnswer: 14464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*d**3 - 1969*d + 29*d**3 + 1861*d.\nAnswer: 7*d**3 - 108*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.5357 rounded to one decimal place?\nAnswer: 72.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2, 14, 38, 70, 110, 158?\n\"Answer: 4*m**2 + 4*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34853\/8 + 5*15\/200.\nAnswer: 4357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.1 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 459463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71226850 is divided by 41267?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -2 (c) 2\/15 (d) -0.3 (e) 10\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 15*b - b + 49*b)*(-34*b**2 - 10*b**2 + 7*b**2).\nAnswer: -2331*b**3 - 74*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 4*a + 476 = 0, q + 70 + 54 = 2*a. Suppose 3*d - 53 = -k, 2*d + 2*k = -k + 47. What is the remainder when (1 - q)*(-2)\/(-5) is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0178592282 rounded to four dps?\nAnswer: -0.0179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 15, 2*i - 5*s = -2*i + 4529. Let t = i - 119. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (74\/(-777))\/((-90)\/(-315)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 12 (b) 0 (c) 1\/8 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aqttaqaqatqaqat. Give prob of picking 2 t.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o + 10. Let z be t(-6). Calculate the highest common factor of 266 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 566796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 0 - (-10 - -4) - 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 37 (b) 3 (c) 2\/3 (d) 26 (e) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, d: 3}. What is prob of picking 1 i and 1 d?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -68*u**3 - u. Let n(y) = -y**3 - 7*y**2 - 6*y - 1. Let l be n(-6). Let t be d(l). Suppose a - t = 3*c, 2*c - 4*c - 68 = -a. Does 33 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(343) + -3 + (6*(0 + sqrt(343)) - sqrt(343)) + -6*1*sqrt(343) + -1)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185941064?\nAnswer: 2, 23242633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*h, -2*a - 2*h = -0*a - 14. Let n = 20.02 - 20.02. What is the smallest value in 16, a, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/o**(-4)*o\/o**(-2)*o)\/((o**(1\/7)\/o*o)\/(o**5\/o)) assuming o is positive.\nAnswer: o**(97\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -326\/55 - -8893\/990. Let y = -337 - -723\/2. What is the common denominator of y and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -321?\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 5 + 45*z + 2 as u*z + f and give u.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 503478 - 292277. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - -14) + -13 + 25 + -4.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-10) + (-104)\/10. Let a be 6\/f - 216\/(-10). Suppose 0 = 70*s - 62*s - 56. What is the greatest common divisor of a and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6512539 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 5*k**2 - 10*k - 47. Let g(n) = -n**2 + n - 1. Let m(d) = -2*g(d) + r(d). Let l be m(-10). Let t = l + -28678\/37. Which is smaller: t or 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**0\/i*i)**(-42))**49 assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2066 - -5688. Suppose 0 = 10*o - 8*o - g. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 4*n + 6*m + 400, 3*m = -3*n - 300. Let a be 3*(n\/(-40))\/((-2)\/(-92)). What is the highest common divisor of a and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.32, 5, 0.4 in increasing order.\nAnswer: 0.32, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 742*f**5 - 7*f**4 - 64*f**3 + 326898*f**2 - 3*f + 2 wrt f?\nAnswer: 44520*f**2 - 168*f - 384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227*i - 233*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4476239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 10:37 AM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0)**(5\/4)*(x**0)**(-17) assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -725945*k*w**4 + 3*k*w**2 + k*w - 24*w**2 + 407*w wrt w?\nAnswer: -17422680*k*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -cb5a4 (base 14) in base 8?\nAnswer: -1701414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 6 (b) -3.1 (c) -1\/5 (d) -2 (e) -1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40538 + 202825. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75368 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: Is 6718947679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 3*u + y + 199, 5*y = 5*u - 260. Suppose -u*m + 40*m + 63 = 0. Solve -3*g + 4*z - m = 7, -4*z + 6 = g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5119376 - 14324376. What is g rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 38*u**3 + 3048*u**2 + 12192*u + 2432 = 0.\nAnswer: -76, -4, -4\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 761*c**5 - 379*c**3 + 21*c**2 + 1858*c - 4 wrt c.\nAnswer: 45660*c**2 - 2274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1862 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/(-9))\/(2\/15). Suppose 4*h = -8*o + 3*o - 14, -2*o + 5*o = -6. Which is the fourth biggest value? (a) y (b) h (c) 1\/4 (d) -136\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 8 = -2. Suppose -4*p + 13 = p - 3*r, -p + 25 = a*r. Let u(i) = 2*i**2 + 4*i - 5 + 3*i - i**3 + 0*i + 3*i**2 - 5*i. Give u(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -365*k - 382*k - 12699 for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 86 + 12. Is y*1 + -7 + 9 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 8 + -4 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeveveeveeeeee. Give prob of picking 3 v.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*m**4*q + 105*m**4 - 52*m**3*q**3 + 127466*m**2*q**3 wrt m.\nAnswer: -48*m*q + 2520*m - 312*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 3*x - 85 = 0, -18*r - 75 = -22*r - x. Suppose 0 = 3*b + r - 5, -4*y + 4*b = -1784. Calculate the highest common divisor of y and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -281, 0.09, -2, -19?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (7\/14)\/((-1)\/(-28)) and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 1. Let o(r) = -r - 8. Let z(p) = -o(p) - 4*v(p). Let b be z(-2). Differentiate 5*j**b - 14 + 6 + 18*j**2 - 8*j**2 wrt j.\nAnswer: 30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 634, 1256, 1870, 2476, 3074, 3664, 4246?\n\"Answer: -4*o**2 + 634*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - (-166)\/80) + (-1)\/5. Which is the fifth biggest value? (a) 0.9 (b) n (c) -0.2 (d) 3\/5 (e) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 21*r**2 + 6. Let v be x(-23). Suppose -2*w - 2*k + v = 0, -w = 5*k - 8*k - 524. What are the prime factors of w\/15 - ((-21)\/(-9) - 2)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-4*(-57)\/(-38)))\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.9 + -192245382.\nAnswer: -192245386.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5300 is divided by 2224?\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4682421 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 37.1578363\nAnswer: 7.43156726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/75 and 83\/750.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 19*k**2 + 7*k + 86. Let r be g(-13). Suppose 0 = -5*l + r - 96. List the prime factors of l.\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 746243915 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/((-33)\/(-9)) + (0 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(-756)*3\/1?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39 + -51.5. Let m = -12 - p. Let u = 2 - -2. Put -4, m, u in decreasing order.\nAnswer: u, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.78346784 rounded to 4 dps?\nAnswer: 10.7835","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 19188\/143298 + (-93*(-1)\/19 - 5). Is c less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13749 + 15808. Which is bigger: o or 2058?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -371, -729, -1087?\nAnswer: -1445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 395, 412, 429?\nAnswer: 446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -4. Let t = n - -6. Let g be (8\/12)\/((-28)\/(-18)). What is the second biggest value in t, 2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by (-2 - -3)\/((-4)\/(-64)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r - 409*x + 412*x - 16, -x = 4*r + 18 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = b + 17, 0*h + 2*b = 3*h - 47. Let r(l) = -11*l + 11. Let n(c) = -c + 8. Let i(q) = 11*q - 53. Let s(t) = -i(t) - 6*n(t). What is h*s(v) - 6*r(v)?\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 not equal to -343.13966?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 314596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3822539.\nAnswer: 7, 181, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -248 - -111. Let a = 61 + p. What is the common denominator of -33\/4 and (-4)\/6*a\/8?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-7) - 23\/161 - 3. Let l be q*(0 - 2*(-4)\/24). Let s = 148\/1095 + -5\/73. Put s, -0.2, l, 5 in ascending order.\nAnswer: l, -0.2, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 240883424 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/14872 and -1\/24?\nAnswer: 44616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 8:56 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 40063.39mm?\nAnswer: 4006.339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*q - 9 = 31*q. Suppose 2*w = -5*a + 1, 17 = 5*w + a - q*a. Suppose -j - 3*j = -12. What is the greatest common factor of j and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (14 + 4*u**2 - 26 - 6)*(-2 + 2 + 3) as g*u**2 + k + h*u and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 9. Let c = 5 - 4.6. What is the third biggest value in n, -0.4, c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 295422665.\nAnswer: 5, 59084533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*m + 960 = -415. Solve 5*n - m = 3*g, 2*g - 29 + 9 = -4*n for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13588?\nAnswer: 2, 43, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(8 - 2))\/((-35)\/(-20))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 5*n + 13. Let y(q) = 2*q + 1. Let w(c) = d(c) - 2*y(c). Determine w(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105 and 4980?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pq when two letters picked without replacement from {n: 1, a: 1, p: 1, q: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -60 less than or equal to -276?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 4*m - 8359 - 9332, 2*m + 17697 = b. Let x = -9562 + b. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77083, -154003, -230923?\nAnswer: -307843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25.43 + -25.17. Let j = -0.46 + 0.06. What is the third smallest value in -5, n, j, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10919, 21924, 32953, 44012, 55107, 66244, 77429?\nAnswer: 88668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.351 to 1 decimal place.\nAnswer: -17.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-1)\/9*(-87)\/58*-69?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -553 - -640. Does 3 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12701 - -18324. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/8 + 1)\/((-153)\/204)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (4 - (-2 + 2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 45*g**2 - 3982*g + 3063. Give a(-45).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/14646404 and 56\/98863227.\nAnswer: 395452908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*2\/(-10) + (-24)\/(-10). Solve 2*b + v = 3*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*t + 25*t + 3*q = -27*t, t - 3*q = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/7 - (-36)\/(-21). Let w be n*11\/26 - -1. Suppose 3*h = 4*h. Which is smaller: w or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9060195272*x**2 + 15345768*x + 6498 = 0. Calculate x.\nAnswer: -57\/67306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -3101?\nAnswer: 4\/3101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/30 (b) 2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -15*k**3 + 6*k**2 - 6*k. Let i(h) = 2*h**3 - h**2 + h. What is 6*i(r) + s(r)?\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 104 = -0*x. Let c = x + 83. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-3\/8)*c**31)\/((c**17*c)\/c*c)**(-4\/17))**35 assuming c is positive.\nAnswer: c**(165935\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.16, 2\/2861, 0.152?\nAnswer: 0.152","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pllpp. Give prob of sequence plpl.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -606*c**2 - 4*c + 114.\nAnswer: -1212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h. Let j(u) be the second derivative of -u**2 + 0 - 1\/12*u**5 + 0*u**3 + 2*u + 0*u**4. Let d(g) be the first derivative of j(g). What is d(b(l))?\nAnswer: -20*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (33*l + 505 - 505)*(l**2 - l**2 + 9*l**3) as g*l**3 + c + h*l**4 + k*l**2 + i*l and give h.\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-73 - -67) + 29 + 1. Solve -4*o - 8 = -4*q, -q - r = 5*o - 8 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.066 + 1.5.\nAnswer: 2.566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3 - 5140*p**2 - 3968024*p - 806369136.\nAnswer: -2*(p + 318)*(p + 1126)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 3*g - 3. Let f(s) = -s + 1. Let o(t) = 3*f(t) + r(t). Let i = -29 + 31. Let l(d) = -4*d + d - d + i*d. Calculate l(o(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 33187 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 150 divided by -3\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*o + o + 2*o)*(1 + 0 - 2) + 4*o - 4*o - 5*o + (o + 1 - 1)*(0 + 0 + 2) + 2*o + o - 2*o.\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*i - 1198 = 112*i + 116 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of 0*b**2 - 5\/3*b**3 - 2 + 4*b. Differentiate n(r) with respect to r.\nAnswer: -10*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 2*f + 69. Calculate the remainder when r(0) is divided by (5*3 - 2) + 1.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 103060 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.023 times -2.5131\nAnswer: 0.0578013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 31*x - 4. Let y be 63\/45 - 2\/5. Let c be s(y). Suppose a - 39 = c. What are the prime factors of a?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(108) + sqrt(3) + 2*sqrt(108) + -1*(-5*(sqrt(363) + -1))**2.\nAnswer: -9100 + 557*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112697 = 70*m - 914833. What is the thousands digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1 + sqrt(242)*3*5.\nAnswer: -2 + 165*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1881, 3701, 5391, 6885, 8117, 9021, 9531?\nAnswer: 9581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27.96 + 27. Let o = 0.96 - v. Round o to one dp.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rorrrcofrorrfrot. What is prob of sequence tr?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-72)*10\/((-200)\/6).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*z - 3 = -2*r, 0 = -r - 2*z + 3. Let w be r\/((12\/45)\/4). Let y = -2 + w. What is y rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163810*h - 163809*h + 327618*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 809 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/9)\/w*w)\/w**(-1\/5)*(w\/w**7)\/((w\/w**8)\/w*w) assuming w is positive.\nAnswer: w**(49\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and 242.215.\nAnswer: 247.215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240 = -5*h + 6*h - 2*p, 0 = -3*h + 5*p - 715. Calculate the common denominator of 35\/6 and 0 - -2 - h\/(-45).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 9*q**2 - 7*q - 15. Let v be h(10). Let n be ((-55)\/v)\/(((-1)\/(-15))\/(-1)). Let o = 70 - n. Is o a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15413, -130297, -442115, -1049333, -2050417?\nAnswer: -3543833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1594 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1.9 + -2019584.45106\nAnswer: -2019586.35106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 20*p + 496. Put p, -3, -1\/5 in increasing order.\nAnswer: p, -3, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1637, 0.\nAnswer: 0, 5, 1637","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of 5*l**9\/3024 - l**6\/72 - l**3\/2 - l**2. Let u(t) be the first derivative of o(t). Find the third derivative of u(y) wrt y.\nAnswer: 300*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-5))\/(11\/((-5)\/(-20)*22))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2*g = 4, -4*o + 5*g + 0*g + 4 = 0. Suppose -62 = -o*r + 466. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 78? (a) 3\/4 (b) -1\/4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.013 in 0.5, -1\/3, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*h - r, 6*h + 4 = 5*h - 3*r. Let m(a) = 3*a**2 - a. Calculate the remainder when 16 is divided by m(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 880 - 626. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g + 1. Let p be m(6). Let z(b) = -b**2 + 2. Let y be z(-2). Put 1, y, p in increasing order.\nAnswer: p, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -s**5\/30 - 23*s**4\/24 - 3*s**3 + 17*s**2. Let j be g(-12). Let u = j + 104. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -3.451822 rounded to 3 decimal places?\nAnswer: -3.452","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -148430, -148400, -148352, -148286, -148202, -148100, -147980?\n\"Answer: 9*k**2 + 3*k - 148442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*y = 20*y - 2*z + 4, y + 6 = -4*z. Suppose 13 = w + 3*h, 11 = w - 3*h + 7*h. Find the second derivative of w*j + y*j - 12*j - 11*j**5 - 4*j wrt j.\nAnswer: -220*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2304403860?\nAnswer: 2, 3, 5, 11, 317411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**3\/7 + 384550*p**2\/7 - 28452593*p\/7 + 526347644\/7 = 0. What is p?\nAnswer: 37, 384476","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.295 - 0.005. Sort -4\/3, 1\/8, j in increasing order.\nAnswer: -4\/3, j, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -124546 divided by -2\nAnswer: 62273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1118 - 1594. Let q = w - -470. What is the biggest value in q, -1\/13, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j + 2. Let k be b(4). Let t(g) = 17*g**2 - 3*g + 2. Calculate the remainder when 2 + k*2*-11 is divided by t(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4 (b) -0.1 (c) 2\/15 (d) -15 (e) 11.2 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26332945 is divided by 3255?\nAnswer: 3250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -4*o + 10. Let w be v(7). Let s = w + 35. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 4*w = 52, -4*t + w = -3*t - 10. Let g(a) = -a**2 - 5*a + 7. What is the remainder when t is divided by g(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -0.03276726 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -203664, -212226, -226504, -246504, -272232?\n\"Answer: -o**3 - 2852*o**2 + o - 200812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 307164 and 1228656?\nAnswer: 1228656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.502407*11.52.\nAnswer: -5.78772864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u*u**12*u*u*u**(-10)\/u*u**(2\/13)\/u**(-12) assuming u is positive.\nAnswer: u**(223\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 11, -99, 5 in descending order.\nAnswer: 11, 5, -1, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + 1)*(-5 - -26). Let q = r + 21. Solve q = g - 0*g - 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9876*v**5 + 230364*v**4 - 59 - 230364*v**4 + v - 10446*v**2 + 61 wrt v?\nAnswer: 592560*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.44 - -0.04. Let x = k + -1.6. Which is the third smallest value? (a) -2\/13 (b) x (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7524 divided by 137?\nAnswer: -7524\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v**4 - 2*v**4 - 4*v**4 + 1 + 2*v**4 - 1 + (-v**4 - 3*v**4 + v**4)*(-1 + 0 + 2) to the form c + y*v**2 + h*v + g*v**3 + m*v**4 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is nine sixteenths of a minute in milliseconds?\nAnswer: 33750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24604 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -330542 (base 8) to base 15.\nAnswer: -22d16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.042 in -4, 2, 3, -1\/2, 65?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -1\/3 (b) -34\/9 (c) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - 18\/(6\/3). Let a = -7 - y. Solve a*b = b - 12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-2)*48\/(-6). Factor 9*k**4 - k**5 - 2*k + 56*k**2 + 14 - 46*k - y*k**3 + 2.\nAnswer: -(k - 2)**4*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/4 - 91813*y\/2 - 8429626969\/4.\nAnswer: -(y + 91813)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 921?\nAnswer: 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 119 - 116. Let q = 19\/6 - p. Factor 1\/6*r**3 + 0 - 1\/6*r - 1\/6*r**2 + q*r**4.\nAnswer: r*(r - 1)*(r + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in 1.125, 2, 29?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2673 times -1.2\nAnswer: -3207.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5148813474 and -40.\nAnswer: -5148813514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - j**2 + j - 106. Give a(0).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 2*n + 15. Let f be z(0). Let s be 3\/2 - f\/(-10). Suppose -w + 4*o = -s*w + 2, -5 = 5*o. Solve w*u - d = 4, 0 = -u + d + 4*d - 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -120503173691 and 0.1.\nAnswer: -120503173690.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 - 19 + 17*r**2 + r + (1 - 2*r - 1)*(0 + r + 1 - 2*r) in the form x + j*r**2 + m*r and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -2\/227, -3, 3.5?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of 89*v**3\/3 + 2*v - 52. Let r(a) = 4*a**2. Calculate r(u(b)).\nAnswer: 126736*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2218888 and 3803808?\nAnswer: 26626656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of h**5\/20 - h**4\/3 - 3*h**2\/2 - 10*h. Let k be v(4). Is 54\/1 + 2 + k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2677058?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 - -13. Let c be (-4)\/g*-3 - 2181\/3. Let j = -97 - c. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1208608034.\nAnswer: 2, 37, 16332541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 376647038 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 482 = 487. Suppose 2*l - 1 = -l - m, l + 4*m + 7 = 0. Does 12 divide (h + 0 - l)*672\/(-28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/50588 and 7\/4.\nAnswer: 50588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27346 - 45054 = -23*b - 20604. Which is smaller: b or 2251?\nAnswer: 2251","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250209889187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, q: 11}. What is prob of picking 2 x?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -83.7 - -82. What is the fourth smallest value in 0.4, 1\/3, -3\/4, b?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -4\/3, -1\/3 in decreasing order.\nAnswer: -1\/3, -4\/3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3525 and 152045.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*n*p**3*w - 5*n*p**2 + 5*n*p*w**2 + 3*n*w**2 + 186*n wrt p.\nAnswer: 6*n*p**2*w - 10*n*p + 5*n*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 2:26 PM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-20)\/(-6))\/(-2 - -6). Let k = -7\/3 + b. Put k, 0.1, 2 in descending order.\nAnswer: 2, 0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.2 - 3. Let v = -76.6 - -76.7. Put v, a, 0 in increasing order.\nAnswer: 0, v, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1474283249 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12807293 or -12807292?\nAnswer: -12807292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9\/(-6))\/(2\/4). Put -1, -4, r in increasing order.\nAnswer: -4, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 2. Let u be (-4)\/(-4) - 58*l. Let k(t) = t**3 + 7*t**2 + 7*t - 2. Let i be k(-5). What is the greatest common divisor of u and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4079 divided by 1.\nAnswer: 4079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by -15343.\nAnswer: -12\/15343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 195\/585*(-6)\/42.\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - 4)\/(1\/(-2)). Suppose i + 32 = -a. Let v = i - -73. Is v a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52142, -208587, -469322, -834341, -1303638, -1877207?\nAnswer: -2555042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3213*z**3 - 19119*z**3 + 1014*z**3 - 16746*z**3.\nAnswer: -38064*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2. Let c(d) = -6*d**2 + 4*d + 50. Calculate -c(s) + 3*n(s).\nAnswer: 3*s**2 - 4*s - 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of z**2\/2 + 299. Let u(g) = 41*g. Calculate o(u(h)).\nAnswer: 41*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 55.056 + -55. Let s = o - 0.0848. Round s to 3 dps.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - i + 29, 0 = -3*a - i + 9 + 14. Suppose 0 = -2*w - 0*w - a. Let h = 2 - w. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 17617425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/4382 and 119\/3756.\nAnswer: 26292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-191 + 264 - 743 - 744)*(-26 + 26 + 47*l**2)*(6*l - 3*l - 2*l) to the form i*l**2 + f + c*l**3 + h*l and give c.\nAnswer: -66458","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15612 - 15685. What is the closest to -1 in 4, u, -21?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**5 + 3*s**5 - 5*s**5 + (0*s**3 - 7*s**3 + 2*s**3)*(-2 + 2 - 2*s**2) - 5 + 5 + 16*s**5.\nAnswer: 27*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tst when three letters picked without replacement from {s: 10, t: 10}.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24615521073871\/160 + -153847681637. Let r = z + 3369602\/5. Let p = 1005 + r. Is p less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -581297*t*v**3 + 5*t*v**2 + v**3 - 286*v**2 + 36*v wrt v.\nAnswer: -3487782*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, 5, 3, -2\/37, -0.6, -0.011?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*f - 22*f**2 + 22*f - 22*f**2.\nAnswer: -44*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-435 - 138 - 164)*(0 + 2 + 0)*(2*m**4 - m**4 + 0*m**4) to j*m + w*m**3 + a*m**4 + p*m**2 + i and give a.\nAnswer: -1474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 156, -2\/3, 5, 0.3 in ascending order.\nAnswer: -2\/3, 0.3, 5, 156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x**2 + 6*x + 9. Let r(o) = -4*o**2 - 9*o - 13. Let v(q) = 7*m(q) + 5*r(q). Calculate v(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2. Let x(t) = 0*t**2 - 32 + 32 - 8*t**2. Determine x(z(j)).\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001668 to six dps.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -l + 8. Suppose l - 2 = 3*r. Let -c**3 - 21*c**2 + 3 + 0*c**3 + 6*c + 5*c**3 + 8*c**r = 0. What is c?\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t - 4*t + 3*t + (-t - 3*t + 2*t)*(-1 + 0 - 1) - t - 2*t + 5*t - 114*t + 57*t - 53 + 55*t in the form q*t + j and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 1. Let m(x) = 16*x**4 - 2*x**3 - 8. Let z(o) = -o - 22. Let l be z(-24). Let i(s) = l*m(s) + 4*a(s). Differentiate i(w) wrt w.\nAnswer: 128*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(77)*-2)\/(sqrt(175)*2 + sqrt(175)) - (-4*((sqrt(88)*-3 - sqrt(88)) + sqrt(88)) - sqrt(88))\/((sqrt(72)\/sqrt(3))\/sqrt(3)).\nAnswer: -31*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 66123283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = -0*w + 528. List the prime factors of w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15767624.\nAnswer: 2, 37, 53269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -11. Let b = o + -13.0009. Round b to 4 dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/80)\/((-2)\/(-5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 220347?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2658*l - 5336. What is i(2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((-1 + sqrt(12)\/sqrt(6) - (sqrt(6)\/sqrt(3) + -2)) + 5) + -3)**2.\nAnswer: 1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f\/(f*(f*f\/(f**4*f))\/f))\/f*f**(-2\/5))\/(f*f**(5\/3)\/f*(f**4\/f)\/f))\/(((f**(-1\/7)*f)\/(f**0\/f))\/f**(-6\/7)) assuming f is positive.\nAnswer: f**(-292\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 32053 + -31151.01. What is m rounded to the nearest ten?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2268, -2267, -2266, -2265, -2264, -2263?\n\"Answer: h - 2269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1425959 > 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 182a2 (base 13) in base 15?\nAnswer: dc22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 35\/15)*-3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/182 - (-2)\/14. Which is the closest to -4\/3? (a) s (b) 4 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/5, -2\/13, -7506395, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2*v**2 - 1 + (-2513*v + 266 + 2511*v - 55)*(3*v - 5*v + v))*(0*v - 6*v + 4*v) in the form y*v**3 + r*v**2 + p + l*v and give r.\nAnswer: 422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 4*x = -d + 1798, 5*x = d - 1794. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.6103ng in tonnes?\nAnswer: 0.0000000000000306103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w + 6*w - 5*w - 94*w + 80*w - 233*w + (1 - 1 + w)*(4 + 1 - 3) + 0*w - 4*w + 3*w.\nAnswer: -248*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/7, 11.5, 39, 0, 1\/2, 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0848184ug in nanograms?\nAnswer: 84.8184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v + 10*v - 53455 + 53455.\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 21393*f - 128280. What is x(6)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((810\/20)\/(-27))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*(-58)\/(-16)*(-1982264)\/62 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24368 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -6*m**4 - m**3 - 2*m**2 + m - 2. Let g(r) = 5*r**4 + 2*r**2 + 1. Let u(p) = 4*a(p) + 5*g(p). Suppose u(f) = 0. Calculate f.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1271*k - 9517 = 15903 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = l + l, -o - l + 133 = 0. List the prime factors of o.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (0 - (4 + (0 - 5)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of (-16)\/(144\/(-23265)) + -11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 28 + 24 - 53 - 43*a. Is 14 a factor of i(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/6)\/((-14)\/(-168)*28)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3813 + -363. What is the greatest common divisor of h and 200?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -320c + 0?\nAnswer: -320c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 1)\/(1 - -2). Solve x = -2*g + 3*g + 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/10, -0.3, 50\/511?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (16\/6)\/((-2)\/(-57)). Let t(k) = -k**2 + 14*k - 67. Let d be t(6). Let m = d + n. What is the remainder when m is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 9 + 27 + (0 - 1 + 2)*(-1 + 3 - 1) + 4 - 4 + 4)*(9*k - 9*k - 4*k**4).\nAnswer: -88*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2967 is divided by 198?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*i + 23*i**2 - 144*i + 113*i - 31*i**2 - 85*i.\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 2*d - 3 - 2, -1 = -z + d. Sort -13, z, -1 in decreasing order.\nAnswer: -1, z, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 6*b - 1627 = 2*f, 5*b - 3257 = 4*f. Let c = f + 1642. What are the prime factors of c?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2*w + 0)*(111 - 111 + 14*w) - w**2 + 3*w - 3*w - w**2 + 0*w + 0*w to q*w + u + z*w**2 and give z.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-12 - -11) + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a centimeter in micrometers?\nAnswer: 32500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*h = -1566, 2*m + h = -0*m + 3117. Suppose 4*g + s - m = -3*s, -3*s = g - 380. Let v = g - -146. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*g**2 + 223112\/7 - 1336\/7*g.\nAnswer: 2*(g - 334)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/43, 188, -2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 972 and 87948.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28659 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48406*r + 23734*r + 23111*r.\nAnswer: -1561*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21657*g**3 + g**2 - 239569*g?\nAnswer: 129942*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.5 + 1. Let f = -10.83 + 10. Let l = -0.43 - f. Which is the closest to 1? (a) l (b) 1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -2\/17 (c) 4 (d) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) 0.2 (c) -4\/9 (d) -5\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06473 * 0.5.\nAnswer: 0.032365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -48800 * -1\nAnswer: 48800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42 and 244958.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - y**2 + y - 1. Let n be x(2). What is the closest to -1 in -3, -0.3, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1157212387 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -723\/5 + 144. Suppose -4 = -0*j - 4*j. Sort p, j, -0.3.\nAnswer: p, -0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*d - 50*d**2 + 47*d**2 - 2*d**2 - 8*d + 7*d - 9*d.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -9*y + 72. Let r be i(9). Let n be (-3)\/r*-10*(-84)\/35. What is the highest common divisor of n and 184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j - 43. Let n be h(24). Let x = 134 + n. Calculate the remainder when x is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*((-4)\/(-2) + 3). Suppose 6*d = 3*d - 3. Sort d, -4, n.\nAnswer: n, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 935 - (0 - -1)*(-10)\/((-30)\/9) is divided by 50.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4eb (base 15) to base 4\nAnswer: -101201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 divided by -46?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (24\/6 - 7 - -2)*-6\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/4 - -1)*-4. Suppose 0 = x*t + 2*t - 56. Let k be (4\/3)\/(t\/21). Solve 0*w - 10 = k*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 408 and 2040?\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 900002\/9 + (-10)\/45. Round s to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 10*c - 17. Let q be a(2). Suppose -w + q = -17. Is 5 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from ylllyy.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*x - 16 = 4*p - 131*x, 26 = -2*p + 5*x for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13628 is divided by 126.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*g - 57*g - 858 = 99 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -18*i**3 - 4*i**2 - 3*i + 6. Calculate m(1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -0 + 6. Let t(w) = 4*w**2 - 3*w**l + 4*w**2. Let m(f) = f. What is m(t(j))?\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 5*u + 91499855 = 0, o + u + 10427682 = -7872299. Let t = -4999976 - o. Round t to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -225 (base 9) to base 4\nAnswer: -2321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 11*k - 19 = 0, -k + 12 - 65 = -4*n for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (4 - 15 - -6 - -10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 572 and 4433?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 + 37?\nAnswer: 2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000026056462 to 7 dps.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/70 + 3\/(-15)*-81. Suppose 0*p = -5*p + 1265. Suppose -s*u = -15*u - p. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -3, 718 in decreasing order.\nAnswer: 718, 24, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/((16*-6)\/(-12)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + -3*sqrt(171)*1*1 - (sqrt(171) + ((-1 + sqrt(171) - sqrt(171)) + sqrt(171))**2 + 3 + 0 + -5)).\nAnswer: -860 - 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -7*h**2 - 3. Let r(m) = m**2. Suppose -11 = -3*o - 4*g, -o + g + 6 = -0*o. Determine o*r(p) + a(p).\nAnswer: -2*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 249, 294, 341, 390, 441?\n\"Answer: i**2 + 42*i + 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 37*h**2*x - 8*h**2 + 14*h*x + 5*h - 2266372*x wrt h.\nAnswer: 74*h*x - 16*h + 14*x + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2870841.7 to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 7. Suppose o*p + 2 = 4*p. Let k(q) = 29*q**2 + q. Is 15 a factor of k(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15 + -31 - -13 - (0 - 8)) + -22 + 6\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -296569207, -296569215, -296569229, -296569249, -296569275, -296569307?\n\"Answer: -3*z**2 + z - 296569205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4705 is divided by 43?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 34618380 divided by -12\nAnswer: -2884865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 6) to base 16.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 + 29.23. Let p = k + 0.07. Let m(u) = u**3 - 7*u**2 - 18*u - 1. Let s be m(9). What is the smallest value in p, 5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2569 + -413. List the prime factors of n.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f - 2. Let x be z(3). Is -4*(-30)\/4 + x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13aa3b (base 12) in base 13?\nAnswer: -b716a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (352\/132)\/(46\/(-11109)*-23).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 11 + 2 = 0. Let y be (-1 + -1)*(-3)\/6. Put c, y, 2 in increasing order.\nAnswer: c, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.2 (b) -3\/2 (c) 9.1 (d) 0.2 (e) -2\/377 (f) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2294*i - 2290*i - 25 = 2*l + 13, -2*l = 4*i + 46 for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (sqrt(3) - (sqrt(3) + sqrt(15)\/sqrt(5))) + sqrt(1200))**2 - ((sqrt(81)\/sqrt(3))\/sqrt(9) - (sqrt(147) + 0 + sqrt(147))))*3 + 2.\nAnswer: -303*sqrt(3) + 3278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of l**7\/5040 + l**6\/240 + 7*l**5\/60 + l**4\/4 - l**2 + 33*l. Let q(s) be the third derivative of f(s). What is q(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u**3 - 6*u**3 + 14*u**3.\nAnswer: 13*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of -139*t**4\/12 - 1015*t**3\/6 + 666*t**2. What is the derivative of a(d) wrt d?\nAnswer: -278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*q**3 + 96*q**2 + 0*q - 2 + 2*q - 178*q**2 + 130*q**2 as s + m*q + d*q**2 + c*q**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*s - 8*s = -17*s + 39*x + 359, 92*x - 29 = s + 95*x for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2b4 + -1?\nAnswer: 2b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 4*i = 3*i, 2*o + 5*i = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-295)\/8*(-3)\/(300\/8) and -17\/54.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/5377 + 134473\/258096. Let x be (1\/(-8))\/((-2)\/3). Let y = w - x. Which is the nearest to y? (a) -0.1 (b) -2\/19 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -933*f + 1 + 932*f + 0 + f**3. Let n(x) = -x**4 + 8*x**3 - 6*x + 6. Let p(q) = -n(q) + 6*u(q). Factor p(d).\nAnswer: d**3*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 2*d + 3. Suppose 39*f + 154 = 388. What is the least common multiple of a(-7) and f?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 145 - 147. Let r be 13 + -2*1*(1 + n). Solve 0 = -8*z + 3*z + r for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from syosmlm. Give prob of picking 1 m and 1 l.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 64 + 76. Is 100700\/f + 2\/(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4289 - -21447\/5. Let g be 27\/(-204) - 2\/(-8). What is the smallest value in -5, o, g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qzn when three letters picked without replacement from {z: 1, n: 1, q: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (113\/(-58) - -2)*-2. Suppose -5*q + 2*q + 11 = 8*q. Which is smaller: i or q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -91 + 104. Let d(h) = h**2 + 3 - n*h**3 - h + 12*h**3 + 5. Determine d(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 23*j - 950. What is the remainder when f(123) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -543*p**3 - 30*p**2 - 8*p + 83. Let d(r) = 362*r**3 + 20*r**2 + 5*r - 52. Give 8*d(m) + 5*n(m).\nAnswer: 181*m**3 + 10*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + 686614?\nAnswer: 686616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, -2, 2\/3, 3\/7, 0.05?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*w - 27. Let r be -3*(w - (1 - 0)). Solve -5*a + 0*j - j = r, 4*a + 12 = 4*j for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s - 10. Let y(i) = -1. Let z(n) = q(n) - 2*y(n). Let d be z(-6). Solve -5*v - 4*j - 5 = 0, -1 = v + d*j - j for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, y: 3, m: 2, s: 9}. What is prob of sequence szz?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 10 = 5*n, 0*c + 3*c - 29 = 4*n for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 425 + -421. Let f be (t + (-64)\/12)\/((-26)\/(-3)). Which is the closest to f? (a) -0.1 (b) 0.1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -9. Let n be (r\/15)\/(6\/(-10)). Let m be 1\/((-1)\/((-1)\/1)). What is the nearest to m in 4\/5, -2\/5, n?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 2:11 PM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - y + 1. What is g(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -147387, -147361, -147331, -147309, -147307, -147337, -147411, -147541?\nAnswer: -147739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18811020 to the power of 1\/2, to the nearest integer?\nAnswer: 4337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17716569 and 114?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1636 (base 15) to base 8.\nAnswer: -11250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h**3 - 10*h**2 - 34*h - 232. Give q(-5).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -0.05, -3\/2494 in ascending order.\nAnswer: -4, -0.05, -3\/2494, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9699.478 grams to tonnes.\nAnswer: 0.009699478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -8. Suppose n*h - 4*t - 1 - 1 = 0, 0 = 4*h - 5*t - 3. Let w(c) = 3 - c**h - 3. Let r(d) = -d. Calculate w(r(o)).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008872149 rounded to 5 decimal places?\nAnswer: -0.00887","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 50332 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 3*c**3 - 4*c**3)*(6 - 1 - 2) - 7*c**3 + 13*c - 13*c.\nAnswer: -10*c**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-275)\/(-75) + -17)*108\/45.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 580 divided by -91770?\nAnswer: -58\/9177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.1 + -9.7. Let m = 19 + z. Which is bigger: m or -4\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1369488, -2738975, -4108462, -5477949, -6847436?\n\"Answer: -1369487*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 9:31 PM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 4*c**2 + 3*c + 2. Let i be l(3). Let m be (-1)\/(i\/150*3). Does 13 divide 131\/5 + 5\/m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 5*r - 6*k + 3, 4*r = 2*k. Let v = -7 + 9. What is the units digit of 6*r - (4 - v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 100 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 188*p**3\/7 - 556*p**2\/7 + 352*p\/7 + 16\/7.\nAnswer: 4*(p - 2)*(p - 1)*(47*p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (((-12)\/30)\/1)\/(12\/15)*-5688?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 5 + 3)*(2 + 1 - 5) - 3 + 3 + 8)*(-2 + 2 + 1)*(1 - 1 - s) to h*s + u and give h.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of 7*i**4\/8 - 14*i**3\/3 - 3*i**2. Let u be g(-7). Let p = u + 263. List the prime factors of p.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 7*k**2. Let a(h) = -19*h. Calculate a(o(w)).\nAnswer: -133*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/1564080 and 17\/10290.\nAnswer: 1564080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 34351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 2*n - 21. Let r(d) = 3*d + 4. What is the lowest common multiple of r(n) and 38\/3 - 2\/3?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -146 + 162. Calculate the lowest common multiple of w and 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 117 and 243.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3968 - 2.6032. What is the closest to -1 in c, 3\/8, 7, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 47*q**2 + 318*q - 70. What is the least common multiple of t(-10) and 1740?\nAnswer: 8700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l - 7. Let z(u) = 87*u**2 + 15*u - 42. What is -6*q(d) + z(d)?\nAnswer: 87*d**2 + 9*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 11 = 2*h - s, 0 = 3*h + s - 4. Suppose -h*z + 23 = 17. Suppose 2*k + 2*u = 5*u + 30, 113 = 5*k + z*u. Which is bigger: k or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -8 + 0*r + 0*r**3 - 1\/2*r**4 + r**2. Let x(i) = -20*i. Determine z(x(t)).\nAnswer: 240*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-26)\/(-8) + (-3)\/12. What is the common denominator of -19\/2 and 318\/12*d\/12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9560.207 weeks in days?\nAnswer: 66921.449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.097 + -0.297. What is the second biggest value in q, -3, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 327, 1122, 2673, 5232?\nAnswer: 9051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1085736418 a multiple of 373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 284023 = 74*t - 72731. What are the prime factors of t?\nAnswer: 3, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*f - 31 = 68*f - 3*m, -25 = -3*f - 4*m for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -p**5\/12 + 3*p**2\/2 + 2. Let d(q) be the second derivative of i(q). Let o(g) = 3*g**2. Give d(o(j)).\nAnswer: -45*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14951883 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 7*l**2 + 7*l - 6. Let y be w(8). Let k be (-3)\/(-2) + (-7)\/y. Suppose k*d + 1 - 5 = 0. Solve -d*u + 4 = -2*b + 16, b + 3*u + 14 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -0.68?\nAnswer: -2.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35142565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -1. Let b(w) = 63*w - 35. What is -3*b(p) + 105*u(p)?\nAnswer: -189*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1941 by 4.\nAnswer: -1941\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2\/5 + 3428*u\/5 - 3432\/5.\nAnswer: 4*(u - 1)*(u + 858)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -123*s - 949. What is the remainder when (50\/(-8))\/((-2)\/48) is divided by d(-8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z = 7*z + 297. Let l = 304 + -290. What is the remainder when z is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42344.51t in micrograms?\nAnswer: 42344510000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 3:34 AM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + (-5 + sqrt(832) + 2 - (sqrt(832) - (0 + ((3*sqrt(832) - sqrt(832)) + sqrt(832) - sqrt(832)))))**2 + -2).\nAnswer: -96*sqrt(13) + 3339","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 9008.1647 to the nearest 100.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a1 (base 14) in base 13?\nAnswer: -1cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h - 3. Let o(u) = -u - 4. Let k(y) = 3*a(y) - 2*o(y). Calculate k(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -5*g**4 - 15*g**3 - 10*g**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**4 + 12*h**3 + 39*h**2 - 120*h - 144.\nAnswer: -3*(h - 4)**2*(h + 1)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10*310 - 7?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 2.89. Let m = 0.5 + -0.33. Let r = v - m. Which is the third biggest value? (a) -5 (b) 2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -11*j**3\/3 - 9*j**2 - 997*j - 531. Differentiate o(b) with respect to b.\nAnswer: -22*b - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + b = 3, 0 = -f - 3*b - 8. Let g(w) be the third derivative of w**5\/60 + w**4\/3 + w**3 - 79*w**2. Calculate g(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148319?\nAnswer: 71, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 11*l**5 - 6371*l**4 + 32728*l**3 - 5740*l**2 = 0.\nAnswer: 0, 2\/11, 5, 574","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, w: 2, i: 4}. What is prob of sequence ei?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 19*u - 520. Suppose -30 = -3*b + p + 2, -5*b - 5*p = -u. What is the common denominator of (12 - b) + (-175)\/138 and 151\/6?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 5 - 1)*(-1 + 4 - 1)*(-3*p - p + 16*p) to the form g*p + h and give g.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(-3)\/(-1 + -2)*-67. Let x = 203 - k. What are the prime factors of x?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 238) + 45 - -78.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -0*b + 15. Let c be b\/2*8\/(-10). Factor 4\/3*w**3 + 2\/3*w**4 + 0 + 0*w + 2\/3*w**c.\nAnswer: 2*w**2*(w + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 781.1 * 0.2.\nAnswer: 156.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3593 - (-6 - 1\/(1\/(-8))). Suppose 43*m - w = 40*m. List the prime factors of m.\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 158746 + 5?\nAnswer: 158751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 16624098 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3 = -4*g - 7, -3*d + 9 = -3*g. Let m be 13\/4 - 4\/16. Put 4, m, g in descending order.\nAnswer: 4, m, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -288 - -289. Let n be 7\/(42\/27) - (u - -3). What is the nearest to 1 in -0.03, n, 0.01?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of 2*x**3\/3 - 5*x. Let b(r) = -4*r. Give p(b(t)).\nAnswer: -16*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o + 18. Suppose l = -4*l + 4*x - 39, 3*l = 2*x - 23. Calculate the smallest common multiple of k(l) and 2\/5 - 192\/(-20).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1131*y = -1124*y + 987. Let c = y - -144. Factor 6\/11*i + 10\/11*i**c + 14\/11*i**2 + 0 + 2\/11*i**4.\nAnswer: 2*i*(i + 1)**2*(i + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/2)\/3*(-165)\/(387585\/324)\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1 + (-1 - 2 + 4)*(6 - 3 - 2) - 5 + 0 + 3)*(-13*m**3 - 337026*m + 337026*m + 2).\nAnswer: 26*m**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 67 + 105*c**2 + 137*c**2 - 382*c**2 + 114*c**2 as l*c**2 + q + p*c and give q.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -529.870868 from 0.17.\nAnswer: 530.040868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -93*k + 57. Let h be y(-13). Is (h\/9)\/(4\/6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -15*c. Let n(z) = 691*z. Give y(n(f)).\nAnswer: -10365*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01078 to three dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3*c = 1208, -20 = -50*c + 45*c. What is the remainder when q is divided by 123?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 321 (base 5) to base 16.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-20*190)\/(-4) + 3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -4*a - a + 18, -2*t - 14 = -4*a. Let q be 4\/5*(-5)\/3. Which is smaller: q or t?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2 - 3 + 0. Let n(q) be the third derivative of 1\/2*q**3 - 52*q**2 + 0*q + 1\/24*q**4 + 0. Calculate -n(t) - p(t).\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 3*w**2 - 2*w + 1. Let o be j(-4). Let b = -121 - -121. Let k(p) = 45*p - 51*p + b - p**2 + 9. What is k(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 1:06 AM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -707*v**5 + 26*v**4 - 2*v**3 + 71733*v wrt v?\nAnswer: -14140*v**3 + 312*v**2 - 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 0)\/(100640\/640 + -156)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (152*x + 121*x - 346*x)*(-x - 2*x + x) + 11*x**2 - x**2 + 13*x**2.\nAnswer: 169*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9, -33, -55, -75, -93, -109, -123?\n\"Answer: r**2 - 27*r + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*d**4*q**3 - 195825*d**3*q**2 - 1235950*q**3 wrt d?\nAnswer: 8*d**3*q**3 - 587475*d**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 72 = 2*z, -3*z + 119*c + 60 = 121*c. Let f(i) = 10*i - 4. Let k be f(3). Which is smaller: k or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*(-105)\/6 + -2. Let h = 37 - b. Solve 5*d + 5*f = 20, -2*d + d + h = -3*f for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-104)*10478\/135005\nAnswer: -2\/335","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 803 and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 7*p - 18 = -g, p + 5*g = -5. Let l(m) be the third derivative of -m**6\/120 + m**5\/12 - m**4\/8 + m**3\/2 - m**2 + 107. Determine l(p).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 4*c**2 - c - 1. Let y be i(-4). Let v = 10 - 1. Let l be y\/2*5\/v. Which is smaller: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30 by -6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1012?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, w: 4, q: 2, x: 3, r: 4, n: 2}. Give prob of sequence ppxq.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 150*t**5 + 626155*t**4 + 4604910*t**3 + 1562555*t**2 - 291690*t = 0?\nAnswer: -4167, -7, -1\/2, 0, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**2 + v**2 + 4*v**2 - 4*v**2 - 3*v**2.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7931426 - 79852374 = -38*a. Round a to the nearest one hundred thousand.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 156.4 + -27.4. Let w = 129.1 - u. Let k = 47 - 49. Which is the nearest to k? (a) -0.3 (b) 1\/3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64 and 157286344.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -222, -444, -678, -930, -1206, -1512, -1854?\n\"Answer: -b**3 - 215*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 26*w**2 - 11*w. Let r(u) = -39*u**2 + 17*u. Determine -8*l(t) - 5*r(t).\nAnswer: -13*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 6*n**2 + 7*n + 6. Let j(y) = -9*y**2 + 1802*y + 1416. Calculate the least common multiple of j(201) and m(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -107*w**4 + 3*w**3 + 197*w**2 + 2?\nAnswer: -2568*w + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 b when two letters picked without replacement from {e: 8, l: 3, b: 5}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/21, -0.4, 10\/11, -0.23, 2 in ascending order.\nAnswer: -0.4, -0.23, 2\/21, 10\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 10435?\nAnswer: 10432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/(-960) + (-9)\/(-24))*(6\/(-77))\/1.\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 36*u**3 - 39 + 16 + 12.\nAnswer: 36*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/1938 and -35\/6?\nAnswer: 1938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 10:44 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.4348869kg?\nAnswer: 434886900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p - 85 - 23. Does 5 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 6 = 3*z, -3*c + 12 = -2*z - 1 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-40)\/50)\/(2\/(-5)). Let o(k) = 2*k**3 + 18*k**2 - k - 7. Let q be o(-9). Solve -c*v - 6 = q for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 644*z**3 + 1911*z**3 - 300*z**3 + 3079*z**3.\nAnswer: 5334*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1891 + 4976. What are the prime factors of t?\nAnswer: 5, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 33, 61, 139, 291, 541, 913, 1431?\n\"Answer: 4*g**3 + g**2 - 3*g + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54349.7*-0.0086.\nAnswer: 467.40742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - ((-115)\/(-130) + -1))\/(12\/(-16))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 176\/(-12)*(11\/1 + 3926\/(-364))?\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0458893 plus 0.1670252?\nAnswer: 0.1211359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243)*-2 + sqrt(243))\/sqrt(9) + sqrt(432)*-4 + sqrt(432))\/(sqrt(1089)*4 + sqrt(63)\/sqrt(7)*-2).\nAnswer: -13*sqrt(3)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.029809 rounded to three dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 11*d + 11. Calculate w(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*o - 664 - 56. Solve 3*t - o = -t + 4*h, -t - 4*h = 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 458 at least -294.268?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence grr when three letters picked without replacement from fgrfg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 15 = 3*k, -3*k - 15 = 2*d - d. Let o be (-8)\/(-20) + (-23)\/k. Suppose 0*y - y = w - 2, 0 = -2*w + o*y + 39. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from aaaaraaaaraa.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5103 - 845. Let m = v + -4257.95206. Let f = m - 0.048. Round f to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2383*q + 2*t = 2383*q, 5*t = q - 16 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3561, -6522, -9495, -12486, -15501, -18546, -21627?\n\"Answer: -s**3 - 2954*s - 606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 7024048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 19919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -d (base 15) in base 13?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002797 to 4 decimal places.\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 57954123.\nAnswer: 811357722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 2281 = 7*r - 2214, 2*u = 2*r + 26 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 696 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.791823 to 3 decimal places.\nAnswer: 0.792","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 10*m**2 + 36*m + 15. Let z be d(13). Does 3 divide 48*(-3 - 114\/z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wkkh. Give prob of sequence wh.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - (1*-6)\/2. Suppose c*m + 5 = -m. Which is smaller: -1\/2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3005000 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**2\/2 + 86*r + 1104 = 0. Calculate r.\nAnswer: -12, 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-1 - (3 - 1)) - (-4 + 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -491\/1215 + 1\/243. Which is the second biggest value? (a) 2\/3 (b) y (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 476323016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2820800 and 20?\nAnswer: 2820800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) 2\/7 (c) 2 (d) 253\/500 (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -95a (base 11) to base 4\nAnswer: -102002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**3 - 3*s**2 - 78*s - 72 = 0 for s.\nAnswer: -4, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*w = -35. Calculate the smallest common multiple of w and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 11. Let v(n) = 21*n - 7. Let s be v(u). Suppose -5*d - 4*p = -385, 4*p + s = 2*d - 35. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/39? (a) 2\/3 (b) 0.2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 7*p - 13. Let f be l(9). What is f rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**4 - 3*x**4 + 3*x**4 + (0*x**2 - 3*x**2 + x**2 + (-6*x + 2*x + 2*x)*(-2*x - 3*x + 6*x))*(1 - x - 1)*(-2*x + 4*x - 4*x).\nAnswer: -6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**3 - 117*s**2 + 152*s + 661. Determine l(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6\/5, 0.5, -0.48?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36501.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 79 = 1. Let v = -338 + 352. What is the remainder when n is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -8 - 12*m - 9*m**3 + 27*m**3 - 6*m + 2*m**4 + 2*m**4 + 4*m**2 = 0.\nAnswer: -4, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b + 88 = -10*b. Calculate the remainder when b is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*g + 6*g - 10*g**3 - 1 + 8*g**3 to b*g + o + t*g**2 + s*g**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(410\/50 - 7). Solve 5*j = 2*g + 11, -u*j + g + 3*g + 7 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -8*y**2 + 212*y - 886. What is b(4)?\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -72 + 69. Let d(i) = 2*i**2 + 3*i - 1. Determine d(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 3 - 9 = 0. Let m(f) = 15*f**3 + 3*f**2 + 2*f + 2. Let t be m(y). Let z = t - -268. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 110 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 801584.4 weeks to hours.\nAnswer: 134666179.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1445 or -1411?\nAnswer: -1411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1376 by -86.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -5. Let f = 1663 - 1112. Let h = f + -555. What is the closest to 0 in g, 2\/17, h?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - 2*z - 1. Let s be i(-1). Let p = -7878 + 7874. Let j = 0.6 - -0.4. Which is the fourth biggest value? (a) j (b) p (c) -12 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/12*6\/(-9)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 + 5*u + 3. Let k be c(6). Let h = 62888\/39 - 4850\/3. Is k less than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39589 - 39588.95. What is the nearest to 2\/3 in 2, 9, 4\/3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 3:26 AM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + 3 - 4\/(-2). Solve -2*s - 3*b - 16 = 0, -s - 8 + u = b for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 162593546?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 116*k**3 + 1216*k**2 + 236002?\nAnswer: 348*k**2 + 2432*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 23*c - 66. Let j be v(3). Solve -y - 2*g - 11 = 0, -24 = 4*y + j*g - 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -181, 2, -9593 in increasing order.\nAnswer: -9593, -181, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 4*f**2 - 13*f + 15. Let b be w(9). Let c = 1100 + b. Suppose 3*h - 5*u - 660 = 0, -55 = -3*h + u + c. What are the prime factors of h?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-1*((sqrt(192) - (3 + sqrt(192) + -1)) + sqrt(192))**2.\nAnswer: -64*sqrt(3) + 392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**9*q*q\/((q\/(q*q**(-5\/3)\/q*q))\/q*q))\/(q**6*q**(-1\/12)\/q) assuming q is positive.\nAnswer: q**(53\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 252112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1554963491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 16.8. Let o = -10.7 - -6.9. Let s = o - c. What is s rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.40012 rounded to one dp?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -2*o + 20, 2*o + 3*v = o + 14. Let k(x) = -o + 2*x**2 + 2. Let n(l) = l. Let f(r) = -3*r. Let q(g) = -6*f(g) - 15*n(g). Give q(k(d)).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6463518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s = 7*s - 7 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 878892877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-112)\/(-84) - (-97628)\/12?\nAnswer: 79, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 274721 divided by 6\nAnswer: 274721\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h**4*m + 2*h**4 - h*m*s + 526*m*s with respect to h.\nAnswer: 8*h**3*m + 8*h**3 - m*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 18*n - 196 = 0. Let x(j) = 25*j**2 + 2*j + 2. Let a be x(-2). What is the greatest common divisor of n and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w = -38*w. Solve -5*z + 20 = -w for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10*(-3 + (98\/(-4))\/(-7)). Suppose u*p - 1655 = -4*k, -4*p + k = -159 - 1165. List the prime factors of p.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - -75. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f - 31. Let k be n(22). Let t be (6\/(-8))\/(-3) + k\/12. Suppose -t*a + 4 = 2*w, -3*w + a + 4 = -2. Solve 1 = -0*z + z - 2*m, -w*z + 5*m = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*v = -v + 1052, 0 = 5*v - 5. Let k = 183 + r. Let d = -33 - k. List the prime factors of d.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 569174 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 7*c - 3. Let m(d) = 4*d + 2. Let r be m(1). Let b be h(r). Solve 2*z - 4*y = 12, -b*z - 5*y - 21 = -4*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 364?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-43*u - 314 + 314)*((0 + 2 + 0)*(0 + 1 + 1) - 1 - 3 + 2 - 2 + 5 - 2 - 2 - 1 + 1) + (-2*u + 0 + 0)*(0 - 1 + 5) to the form q*u + g and give q.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 o when three letters picked without replacement from oooooowoow.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 4*k**2 + 3*k - 10. Let b(h) = -h**2 - h + 1. Determine 6*b(n) + 2*p(n).\nAnswer: 2*n**2 - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = q - 6. Let l = 2 + -1.4. Let f = -1.4 - l. What is the closest to -2\/5 in 2, q, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5 (b) -8 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.09 + 161.9756632504.\nAnswer: 161.8856632504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2469 or -2568?\nAnswer: -2568","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o + 4254 = -4854. Let v be (-2)\/(0 + 6\/1473). Let b = o + v. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4\/9 - 17792*c**3\/9 + 17534704*c**2\/3 - 51228363392*c\/9 - 1367811454048\/9.\nAnswer: 2*(c - 2974)**3*(c + 26)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 53253 (base 8) to base 4\nAnswer: 11122223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.94 + 0.06. Let d = -698\/5 - -140. Let o = 4 - 3. Which is the nearest to o? (a) 2 (b) j (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 - 36. Suppose u = -s + 43 - 31. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/5*2*-7*(-2)\/(-966)?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -72343814 and -72343815 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f = -4*p + 27*f + 46, -3*f = -3*p + 39. Let o(j) = 6*j**2 + 2*j - 3. What is the remainder when o(2) is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6109 and 149?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 81 (b) 10.7 (c) -0.5 (d) -0.09 (e) 1\/10 (f) 3\/2 (g) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.432967 minus 1?\nAnswer: -28.432967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1132*k + 2468 = 22844 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c - 13. Let g(j) = -25*j - 25. Let s(r) = -18*r - 17. Let t(d) = 5*g(d) - 7*s(d). Give 4*k(u) - 9*t(u).\nAnswer: -5*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 36*g**4*s**2 + 296*g**4*s + 12187*s**2 + 1 wrt g?\nAnswer: 144*g**3*s**2 + 1184*g**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -824 by 1.\nAnswer: -824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 3 - 6)*(3 - y - 3) + 6 - 2 + 1 + 2*y to the form a + h*y and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/8*2 + (-7 - -8). Suppose -268 = -2*b + j*d, 15 + 125 = b - 4*d. Calculate the least common multiple of b and 198.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244775 is divided by 121839?\nAnswer: 1097","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**2 + 107398*v + 537040 = 0. Calculate v.\nAnswer: -5, 53704","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 - 26 + 1109 - 114*d - d**2 + 2*d**2 + 3*d**2.\nAnswer: 3*(d - 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.81998 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/10 - 1502\/(-10). Suppose -251 = 3*k - 4*s, -5*s + 51 + 29 = -k. Let g = f + k. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 261?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -927 by 38.\nAnswer: -927\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - y**2 + y - 11. Let v be x(0). Let h = -8 - v. Differentiate 0 + h*f**4 - 5 - f**4 + f**4 wrt f.\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18775 is divided by 186.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/9 in -6, -0.1, 1810?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 3*m**2\/8 + 32626299*m + 709650257624934 = 0?\nAnswer: -43501732","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -2. Suppose g*x - x - 16 = 0. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 3*j + 18. Suppose -6*d = -j*d + 2*p - 2, 0 = 5*d - 5*p - 20. Solve -d*x + 16 = 3*h, -h - 4*x + 4 = -2*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**3 + 3*n**3 - 3*n**3)*(28482*n - 1146*n - 8566*n + 22835*n + 12169*n + 15686*n).\nAnswer: 69460*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9671245, 9671246, 9671247, 9671248?\nAnswer: 9671249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1520633*j**3 - 24617 wrt j?\nAnswer: 4561899*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 20\/79?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -11012, -10\/9, -5, -3.1, 2?\nAnswer: -11012","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-5)\/(s**(-9)*s)*s**(1\/3)\/s**1 assuming s is positive.\nAnswer: s**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 divided by 6?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of 0*t - 31 + 0*t**2 + 4\/15*t**3 - 1\/2*t**4. Factor x(y).\nAnswer: -2*y**2*(5*y - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 260362706?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/9 - 34*y**2\/3 + 122*y\/3 + 470\/9.\nAnswer: 2*(y - 47)*(y - 5)*(y + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of 0 + 6*r + 5\/4*r**4 - 4\/3*r**3 + 0*r**2. What is the second derivative of w(f) wrt f?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2 + -6*((-1*sqrt(1900) + sqrt(1900) - (sqrt(19) + sqrt(171)*-2))**2 - (sqrt(475)*-2 + 3)).\nAnswer: -2828 - 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 4216 = -8*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f**2 + 1852*f - 1848 = 0. What is f?\nAnswer: 1, 462","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -1. Suppose -j*w = 94 - 274. Is w a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -10*f + 70. Let k = f + -13. Is 4\/23 greater than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 3*u. Let w = -0.3 + -0.1. Which is the closest to -2\/7? (a) 0.5 (b) u (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2. Let j(h) be the second derivative of h**6\/720 + h**4\/3 + h. Let s(p) be the third derivative of j(p). Calculate s(u(l)).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 23*y + 210 = 0 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -790 + 1115. Does 13 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -15146 and -15145 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10224448?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 + 7*b - 8. Let n be r(5). Let a be 14\/(-6) - (-5 + n + -1). Factor -1\/3*g**3 - 8\/3*g + 4\/3 + a*g**2.\nAnswer: -(g - 2)**2*(g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.5 - -193971.\nAnswer: 193972.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -79.34105 rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1819 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -19*b + 42. What is the smallest common multiple of 30 and a(2)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56140, 111890, 167246, 222208, 276776?\nAnswer: 330950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 124657?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 823666.\nAnswer: 2, 411833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.6 + -0.64. Let l = -0.06 + q. Do 4 and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, i: 3, z: 4}. What is prob of sequence xiii?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -s - 2*s + 50, -2*j = -4*s - 20. Put j, 3, 2 in descending order.\nAnswer: j, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k + 31800 = 16*k. What are the prime factors of k?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 + -21 + 24.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1244317 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 506047.7 millennia?\nAnswer: 50604770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/18 - 34\/(-6). Let i = 8 - 4. What are the prime factors of (-26)\/(-3) - i\/w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6780 is divided by 117.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3738 - 3650. Solve 28*h - 24 - b = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11525 (base 7) in base 2?\nAnswer: -101111000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 729*z - 395. Let y be n(-2). Which is bigger: y or -1854?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -23086 in decreasing order.\nAnswer: 4, -4, -23086","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/3 (b) -7.4 (c) 254.2 (d) 809\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -9*u**2\/2 - 2*u - 5. Let h be x(2). Let w = 42 + h. What is the remainder when w is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6339, 25363, 57069, 101457, 158527?\nAnswer: 228279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81 - 11*n**2 - 6*n**2 + 18*n**2.\nAnswer: n**2 - 81","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 22*w**2 - 85*w - 1785. What is s(-22)?\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**14\/o)**10 assuming o is positive.\nAnswer: o**130","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -120 + 36. Let n = 85331.766 + -85416. Let y = w - n. What is y rounded to 2 dps?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-4)\/96*2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 2*a**3 + (-1 + 1 - 2*a)*(-a**2 + 3*a**2 + 0*a**2) + 2*a**3 - 4*a**3 + 0*a**3 + 0*a + 2*a**3 + 0*a - 2*a - 32*a**3 - 309258 + 309258 + 26*a**2.\nAnswer: -38*a**3 + 26*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1084 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 532503 is divided by 257?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 g, and 1 m when three letters picked without replacement from {k: 1, m: 2, g: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2880)\/8700 - (-2)\/15*3?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 5*z + 6. Let o be r(6). Suppose o = -2*d - 3*d. What is the second derivative of d*u - u - 3*u**4 + 5*u**4 wrt u?\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6497 - -6493. What is the nearest to -1 in c, -4\/3, 5, -4\/55?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21275441?\nAnswer: 11, 1934131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 6*u**5\/5 - 15*u**4 - 561*u**3\/5 + 1761*u**2\/5 - 417*u\/5 - 714\/5 = 0.\nAnswer: -7, -1\/2, 1, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -101224 times 3?\nAnswer: -303672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y + 285 = -63*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m. Let a(d) = 3*d + 1. Calculate 4*a(y) + 7*x(y).\nAnswer: -2*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111100010001000000111101 + -11?\nAnswer: -111100010001000001000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*3*5\/6. Let a = -12 - -14. Suppose 3*t = 26 - a. Put o, -4, t in ascending order.\nAnswer: o, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 275\/20*(-688)\/(-946).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -f**4\/54 + 4*f**3\/27 - 4*f**2\/9 + f - 6. Let x(v) be the first derivative of s(v). Solve x(g) = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1960*w - 46 = -2006*w, 3*t + 3*w = 24 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0534 - 1.0534. Which is the closest to -0.1? (a) z (b) -0.2 (c) 3 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 332 + 1188 = 2*j - 3*d, 2*d + 3800 = 5*j. Let l = 20 + j. What is the hundreds digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-442 + 442 + 165*q)*(-5 - 4 - 8).\nAnswer: -2805*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 781543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1274)\/(-42)*(-48)\/112?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-38202)\/(-20) - (-6)\/12. Let z = 1898 - j. Find the common denominator of z and 71\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 - 2*r**2 + 2*r + 15 - 5*r**2 to l + u*r + o*r**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -211220002?\nAnswer: 211212221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**4 + 81*d**2 - 76*d wrt d?\nAnswer: 24*d**2 + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**3 + 55 - 55 - 236*t**4)*(-2 + 1 - 1).\nAnswer: 472*t**4 + 4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 - -39. What is the least common multiple of s and (-8)\/52 + (-108)\/(-26)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 429 - 425 = 0. Which is the smallest value? (a) j (b) -5 (c) -0.61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 16 = 4*m. Suppose 0*l + m*f = l + 7, 13 = 3*l + 5*f. Which is the nearest to 2\/3? (a) -5 (b) l (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - ((-15 - (7 - 24)) + -33 + 1 + 8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/21)\/(1\/4)*65\/(-52)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -3732.\nAnswer: -7464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c - 900a0b?\nAnswer: -9009ff","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 13*w + 15. Let c be f(12). Suppose -2*y - 4 = -0*y, 0 = 5*g - c*y - 686. Is g a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u - 9 + 9)*(-25 + 6 - 30 + (2 - 5 + 4)*(3 + 9 - 4)) - 2*u - 2 + 2 + (-3 + 6 + 0)*(-1 + 2*u + 1).\nAnswer: -201*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4197, -39, -30 in increasing order.\nAnswer: -39, -30, -5, 4197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288 - 3\/7*t**3 - 1002\/7*t + 1011\/7*t**2 = 0 for t.\nAnswer: -1, 2, 336","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 7*c**2 + 22*c + 133. Determine z(-11).\nAnswer: 375","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**2 + 11*q - 6. Let h(n) = n**2 - n + 5. Let w be h(0). Let m be u(w). Let k be (-30)\/6*((-6)\/(-15))\/m. Solve 2*x - k - 4 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -422756 (b) -2\/9 (c) -2 (d) -1\/6 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**2 + 30*y + 8. Let a be o(-14). Find the common denominator of 2\/(-6)*1 + a\/15 and (-4)\/8 + (-101)\/(-22).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 356 (b) 10\/7 (c) -4 (d) 5 (e) 28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 539*y = 61*y - 6146 + 410 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.9, 52 in ascending order.\nAnswer: 0.2, 0.9, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4*v + 2. Let k(j) = 9*j + 3. Let c(r) = 7*i(r) - 3*k(r). Find the first derivative of c(f) wrt f.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -44*u**3*x**3 + 2*u**3*x**2 - 10*u**3*x - 265*u**2*x**2 - u**2*x + u**2 + 2*x**3 wrt u?\nAnswer: -264*x**3 + 12*x**2 - 60*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2309081 or -11545411\/5?\nAnswer: -2309081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 3:39 PM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -45 - -47. Suppose v = -s*v + 3*g + 540, 180 = v - 2*g. What are the prime factors of v?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 20*y - 124*y + 0 + 8*y + 6*y.\nAnswer: -90*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 7. Let i(a) = -a**3 - 4*a**2 - a - 4. Let v be i(-4). Suppose v*n - n + 12 = 0. What is the least common multiple of n and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 5*i**2 + 279*i - 15239. Give c(-90).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1228371359 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 24 = x, -2*x - 8 = 3*r + 7. Let i be (-1)\/(-2)*x\/(-45). Let d = -0.45745 + 0.05745. Sort -1\/3, 3, d, i in descending order.\nAnswer: 3, i, -1\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -k**2\/2 + 2. Let z be v(2). Is -5\/7 <= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10230 - 11321?\nAnswer: -22101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1826598683?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p - 44. Let a be y(-18). Let u be (a\/24)\/(4\/(-6)). What is the smallest common multiple of u*(-15)\/(-50)*2*3 and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 4:35 PM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3178337389 to the power of 1\/2, to the nearest integer?\nAnswer: 56377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 176 - 1230\/7. Let u = -0.86 - -0.56. Which is the nearest to 0.1? (a) u (b) o (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2. Let j(g) = 15*g**2 + 2*g + 1. Suppose -19*c + 535 = 497. Calculate c*h(z) - j(z).\nAnswer: -17*z**2 - 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxwexxxwx. What is prob of picking 1 e and 1 x?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/10 - 58414*i + 18107379\/10.\nAnswer: (i - 584109)*(i - 31)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 76*q**2 - 1835*q + 72793. Give b(65).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 1. Which is greater: 8 or d?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -337 * 5452.2.\nAnswer: -1837391.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of 1\/20*n**6 + n + 0 + 18*n**2 + 1\/15*n**5 + 11\/24*n**4 - n**3. What is the second derivative of l(x) wrt x?\nAnswer: 36*x + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k - 10. Let y be j(8). Suppose 4*c - 6 = c. Put c, 4, y in ascending order.\nAnswer: y, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -918664014*x**3 + 295307413*x.\nAnswer: -5511984084*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3502\/7 or -501?\nAnswer: -3502\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1304, -1381, -1456, -1529, -1600?\n\"Answer: x**2 - 80*x - 1225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2545869853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -2059.\nAnswer: -3\/2059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9469\/216 + 890\/27. What is the common denominator of (-16 - (-110)\/200) + (-1 - -13) and u?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -79 + 78.672. Let c = -0.028 - l. Put 1, 2, c in decreasing order.\nAnswer: 2, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2*p - 4*v - 8 = 0, -13 = -2*p - v. Solve -4*t - 9 = p*l - 7*t, -15 = -l - 5*t for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w + w = -33. Let r(q) be the third derivative of 0*q - 1\/30*q**5 - w*q**2 + 0 + 0*q**3 + 0*q**4. Let u(f) = -f. What is r(u(h))?\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 42611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 12:22 AM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4166 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/59620 and 57\/16.\nAnswer: 238480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 80 - 80.52. Let m = -115.52 - v. Let u = m + 115.000000184. Round u to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -212 in -55\/6, 1\/4, 1\/8?\nAnswer: -55\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -952981 or -952741?\nAnswer: -952981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 15 - 20 - a**2 + 14 - 22*a. What is the tens digit of c(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m**2 - m**2 + m**2 + 2*m**2 as h + b*m + c*m**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (12 + -3 + -1 - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 6*l + 2. Let k be i(3). Calculate the remainder when (-2 - (-4)\/1) + 8 is divided by -2 + k\/((-21)\/18).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 - (38 - 105) - 38\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -0.5, 0.044, 0 in increasing order.\nAnswer: -0.5, -2\/5, 0, 0.044","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99627?\nAnswer: 3, 11, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + -8)\/(1\/(-1)). Let j(b) = b - 3. Let v be j(6). Suppose v*s + 4*r = 13, s - r + 5 = 2*s. Calculate the greatest common factor of s and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266484*g**3 - 266457*g**3 + 3 - 7.\nAnswer: 27*g**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15837984 and -0.4.\nAnswer: -6335193.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 10) in base 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1356 - -60. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-30200)\/(-6342) - (-10)\/(-105). Factor -13\/3*a - 1\/3*a**3 + g*a**2 + 0.\nAnswer: -a*(a - 13)*(a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1.028, 2\/31, 5\/2, -0.6?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 s, and 1 i when three letters picked without replacement from iihihccshshcihhsc.\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) 11 (c) -0.3 (d) 68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 64660.32ns in seconds?\nAnswer: 0.00006466032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5 + -0.5. Let i = 44424\/31087 + -2\/4441. What is the closest to -1\/3 in 1, f, i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 33861 and -15.\nAnswer: -507915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 10*s - 32, -8*b + 3*b + 8 = -3*s. Solve -5*k = -3*c - 5 - b, -c - 3 = -3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 21*p**2 - 2892706704*p + 826487628 = 0.\nAnswer: 2\/7, 137747938","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of s - 178*s**2 - 122 + 42 + 41 + 27 wrt s?\nAnswer: -356","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-100303)\/(-8188) - (-3605)\/28?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 414 <= 437?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -1082.819 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 + 24.8. What is the nearest to q in 0.3, 2\/5, 6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16639 is divided by 8313?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 21682?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 444 and 72?\nAnswer: 2664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*o**3 + 5*o**5 + 4 - 12 + 5*o + 51*o - 56*o**3 - 16*o**3 wrt o.\nAnswer: 100*o**3 - 450*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4800) - (3 + sqrt(4800) + 0) - (0 + sqrt(4800)*2 + sqrt(4800))) + 2)**2.\nAnswer: 240*sqrt(3) + 43201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 58, 272, 640, 1162, 1838?\n\"Answer: 77*m**2 - 17*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -u**6\/36 - u**5\/10 + u**4\/24 + 7*u**3\/18 - 2*u\/3 - 2. What is k in z(k) = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1bb - -35?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/9)*v)**(-5\/3))**(-3\/17)*(v*v**1)**(-3\/41)*v**(-3\/7)*v*v*v\/(v*v**5\/v)*v assuming v is positive.\nAnswer: v**(-59111\/43911)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(2 - 6\/(-3)*-2). Let f(r) be the third derivative of 0*r + 0*r**3 + 0*r**4 + q - 1\/10*r**5 + 1\/40*r**6 + 2*r**2. Let f(m) = 0. What is m?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -149 + 150. Let v(x) = -x**2 - 3 + 7 + 6 + g - 7*x. Let d be 34\/(-4) - 2\/(-4). What is v(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.3 + -2.499. Let l = g - -5.199. Which is the third smallest value? (a) l (b) 0.5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/84 (b) 0.5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 56 (c) -84\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1542954400 rounded to the nearest one million?\nAnswer: -1543000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36714.\nAnswer: 2, 3, 29, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/4 + 75\/12. Let s be (-38)\/(-8) - (7\/(-28) - 0). Suppose 3*d - 4*k = -k, 2*d - 14 = -s*k. What is the highest common divisor of d and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33718069?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0 = -12. Let p(f) = -f**2 + 7*f - 5. Determine p(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3188687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 1, -3, -25 in decreasing order.\nAnswer: 5, 1, -3, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 339 and 11796?\nAnswer: 1332948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2*j**2\/11 + 179350*j\/11 + 6274800\/11 = 0.\nAnswer: -89640, -35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (3 + 3 + -8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 + -6 + 5 + -2 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 6*v**2 + 12*v - 11 - 5 + 7 + 5 + 5. Calculate s(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = r - 42, -2*r = -1 + 7. Suppose 0 = 4*x - 17 + j. Suppose -4*t = x*l + 2, -3*t - 5 = 5*l - 5*t. Let c(g) = -15*g + 1. Determine c(l).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 534768271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhq when three letters picked without replacement from {z: 1, q: 4, h: 2, r: 2}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 5:31 AM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 8:14 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1458\/(-405))\/(9\/(-75)). Suppose -57 - 3 = -2*q. Calculate the greatest common factor of n and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 1617?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4104 = -387*y - 126*y for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p*p\/p**3))*p*p)**31\/(p**(-1\/7)\/p*p**18) assuming p is positive.\nAnswer: p**(99\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2369*x**3 - 3479*x**2 - 5*x - 5. Let s(n) = 1184*n**3 + 1740*n**2 + 2*n + 2. Let q(m) = 5*s(m) + 2*z(m). What is the third derivative of q(t) wrt t?\nAnswer: 7092","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from juwuxrp. What is prob of sequence xxj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/2 + 6 + (-35)\/6. Let v = -29\/22 + 3\/2. What is the third smallest value in p, 3, v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.1612163l?\nAnswer: 161.2163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2*p**3)*(0*p**2 + 0*p**2 + 2*p**2) + 13*p**2 - 13*p**2 - 7*p**5 + (-1 + 0 + 3)*(0*p**3 - 2*p**5 + 0*p**3) - 2*p**5 + 4*p**4 - 4*p**4.\nAnswer: -9*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 9:46 PM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 722 - 710. Calculate the lowest common multiple of 25 and p.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -8*o + 1. Let w(d) be the first derivative of 4*d**2 - 2*d - 6. Let s(z) = -3*h(z) - 4*w(z). Find the first derivative of s(f) wrt f.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.40351113 to 3 decimal places.\nAnswer: 28.404","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 272398346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-86)\/14 + 770\/(188 + -78)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -8 + 4 + 3891106*h**2 - 5 - 5*h. Let b be f(-2). Let j = -10764425 + b. What is j rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1500134*p**3 - 1500050*p**3 + 3000158*p**3.\nAnswer: -26*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 29*z**2 - 64*z - 55. Let x be q(-31). Solve -d + x = -k, -k = -d + 4*k + 19 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -34?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*c - 89*c = 89*c + 83*c - 7800 for c.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkmyymkmyerky. Give prob of picking 1 y and 2 k.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(1 - (-24)\/(-21)). Let l be 192\/(-19) - 70\/21*-3. What is the second smallest value in 2, m, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + k**2 - k - 1. Let v be u(-1). Let q be 1 + v - (-24)\/(-9). Suppose 0 = -3*i + l + 7, i - l - 5 + 0 = 0. Which is smaller: i or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*a + 32*a + a)*(-a**3 - 5*a**2 + 5*a**2) - 5259*a + 5259*a + 178*a**4 - 2*a**4 - 1 + 1.\nAnswer: 122*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208 + 1862 = 95*n + 265 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*y - 0*y - 6*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2456824 and 10?\nAnswer: 12284120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 109 (b) -0.3 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1187592 times 2?\nAnswer: -0.2375184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151590436.\nAnswer: 2, 19, 97, 20563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0423 + -0.0127. What is the smallest value in -2, u, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 199 - -74. What are the prime factors of o?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**3 + n**3 - 4*n**3)*(-2*n**2 + n**2 + 0*n**2) + 145*n**3 + 2*n**2 + 83*n**3 + 6*n**5 - 277*n**3.\nAnswer: 7*n**5 - 49*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 690?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, z: 5, n: 3, y: 1, v: 1, u: 4}. Give prob of sequence ny.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/((((q**3\/q)\/q)\/q*q)\/q))\/q)\/q**(3\/2)*q**(-4\/3)*q*q\/(q\/(q*q**(-1\/5))) assuming q is positive.\nAnswer: q**(-1\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrgrbbbrrarbssabar. Give prob of sequence brs.\nAnswer: 35\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -214\/337, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t + t + t**3 + 2*t - 2*t - t**3 + (-t - 1 + 1)*(-127 + 127 - 35*t**2).\nAnswer: 35*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 977, 960, 931, 890?\nAnswer: 837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10\/3 + 23\/6. Let u = 743 + -741. Let b be u*7*(-23)\/(-161). What is the closest to 2\/35 in b, s, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(1331)*-2 + sqrt(1331) - ((sqrt(33)\/sqrt(3))**2*-1 + (5 + sqrt(11)*-1)**2).\nAnswer: -25 + 65*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 - w)*(1 - 2 + 0) - 2*w - 4*w + 4*w - 2*w + 12 - 12 + 0*w + 6*w - 5*w)*(w**3 - 2*w**3 + 5*w**3).\nAnswer: -8*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 95*r - 45*r - 51*r + 2, -2*r + 3*g = 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -295, -606, -963, -1390, -1911?\nAnswer: -2550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 34\/12)\/(231\/14 - 17)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 13*g + 6. Let q(d) be the second derivative of -d**3 - 3*d**2\/2 + 550*d. Give 2*m(v) + 5*q(v).\nAnswer: -4*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 0*o + o + o. Let m(c) = 18*c - 2. Let q be m(2). Let x(y) = 4*y**2. Let f(k) = -23*k**2. Let r(z) = q*x(z) + 6*f(z). Calculate r(v(a)).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 727 is divided by 74.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 781854 is divided by 79?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 9*p**2 + 117*p - 838. Give r(9).\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 476393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*x**4 + 3396*x**3 + 14688*x**2 + 17136*x + 3120 = 0. Calculate x.\nAnswer: -2, -2\/9, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12829050 and 789480.\nAnswer: 51316200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 > -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12678240 and 240?\nAnswer: 12678240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -14120516?\nAnswer: -5648206.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 10:40 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23137, -46279, -69415, -92539, -115645, -138727, -161779, -184795?\nAnswer: -207769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/10 in 2\/7, -2\/13, 15?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 8. Solve 0*m + 2*m = 0, 4*d + 2*m = a for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/30 and -43\/220.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/((sqrt(56)\/sqrt(7))\/sqrt(2)) + 2)**2.\nAnswer: 4*sqrt(7) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 5*u**2 + 2*u + 1. Let a be y(-4). Let f be 55\/(-165) - (-24)\/18. Sort a, -3, f, -4 in decreasing order.\nAnswer: a, f, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4797, 19274, 43419, 77232, 120713, 173862?\nAnswer: 236679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 16 - ((2 - -3) + (0 - -29)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.7 + 0.3. Let f = -1 + -4. Which is the closest to z? (a) -1\/6 (b) -0.4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 16*i**2 + 16*i - 13. Let x be c(15). Find the second derivative of -55*n + 7 + 35*n**x + 54*n + 7 wrt n.\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(sqrt(24)\/sqrt(4)*3) - sqrt(128)*-2) + -5.\nAnswer: -5 + 49*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -7, 3, -5, -51.\nAnswer: -51, -7, -5, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1725.895647 microseconds?\nAnswer: 0.0000000028536634375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 254*o**3 + 270?\nAnswer: 762*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 954793?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6 + ((-22)\/(-22))\/(-1 - 0)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14480.5 minus -531?\nAnswer: -13949.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 159954 and 53.\nAnswer: 159954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 12:21 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do -34766 and -736\/9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 799.7497 micrometers?\nAnswer: 0.7997497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -841064 divided by 644.\nAnswer: -1306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 192 and -4.\nAnswer: -768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 266447967.\nAnswer: 3, 4951, 17939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of -q**6\/120 - q**5\/10 + 5*q**4\/24 + 4*q**2 + 2. Calculate z(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-5))\/(37 + -34)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -505955, -1011842, -1517661, -2023412, -2529095, -3034710, -3540257?\n\"Answer: 34*n**2 - 505989*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2422 + 2344 = -39*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 33501863*q**2. Let w(p) = -2*p**2. Calculate d(w(h)).\nAnswer: 134007452*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/(-75))\/(4\/12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 5*n + 2 - 7 = 0, 2*n = -4*d + 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 1 (b) 28\/17 (c) 2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - 7. Which is the second smallest value? (a) 2\/9 (b) -2\/13 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -822, 0.5, 5, 53, 2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1621.4 - -1621. What is the fifth biggest value in 3\/2, -3, 4\/5, -8\/21, u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4.8 or -1187?\nAnswer: -1187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/n**(3\/2)))\/n)\/n*(n**(-2)*n)\/n*(n\/(n*n*n\/(n\/(n**(-2\/7)\/n))))**(-41) assuming n is positive.\nAnswer: n**(-199\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*m**2)*(0*m - m**3 + 0*m) + 12*m**5 - 5*m**5 + 9*m**5 + m**3 + 2*m**5 - m**3 - m**4 - m**5 + m**4.\nAnswer: 19*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - 66.45\nAnswer: -66.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -9*f - 31. Let s(g) be the second derivative of -5*g**3\/6 - 8*g**2 - 75*g + 7. Calculate 3*l(j) - 5*s(j).\nAnswer: -2*j - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 3, -1079, -1 in ascending order.\nAnswer: -1079, -7, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 740.\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 31528 and 18585756.\nAnswer: 37171512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + 9. Calculate the remainder when 75 is divided by p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -4*q**2 + 2328*q + 235840 = 0?\nAnswer: -88, 670","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1289834915 to the nearest integer?\nAnswer: 35914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-10)*105\/(-126) + 10*(-6)\/264.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, j: 8, z: 2, v: 1}. Give prob of sequence jjz.\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 7*r - 3*r + r)*(3*r**4 - r**4 - r**4).\nAnswer: -7*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215 + 227 = 4*u, 4*u = -11*p + 562 for p.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 51, 2, 5 in increasing order.\nAnswer: -1, 2, 4, 5, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 89 + -621\/7. Let h = -57 - -123.5. Let d = 66 - h. What is the nearest to 1\/2 in d, -1\/12, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 34 = -10. Let k be (40 - -13) + 3*2. Suppose l = 9*h - k. Is 9 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.04 + 1.14. What is the closest to 3\/2 in q, -1.3, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 669 is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert c9 (base 16) to base 12.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1643.1 - 1643. Which is the closest to -2? (a) 2\/7 (b) h (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of s**4\/12 - 68*s. Let w = 1 - -1. Let h(q) = -q - 10*q**w + q. What is h(y(j))?\nAnswer: -10*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, z: 1, b: 1, x: 1, m: 1}. Give prob of picking 1 m and 1 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 141377544 a multiple of 924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 997507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 246 and (6808\/4692 + (-4)\/34)*45.\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30823200 and 128430?\nAnswer: 30823200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 9399732 divided by 12\nAnswer: 783311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 102964?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n - 2. Let f(i) = 5*i - 11. Let m be (-59)\/((-6490)\/(-396)) + (-2)\/5. What is m*f(y) + 22*p(y)?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i + 2*i = 225 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -968 + 988. Let x = 1307 + -711. Suppose 4*u + h = x. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, w: 2, e: 1}. What is prob of sequence ww?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26724 divided by -34.\nAnswer: -786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 4294570?\nAnswer: 4\/2147285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36 - 72. Let s = 46.1 + d. Let k = -10.1000039 + s. Round k to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + 24 - 137*c**3 - 72*c**3 + 12.\nAnswer: -209*c**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 868472.6 millennia in decades?\nAnswer: 86847260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1642897 to the nearest integer?\nAnswer: 1282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 100 and 50.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3394 - -3400. Sort -572, t, 0.4 in decreasing order.\nAnswer: t, 0.4, -572","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2528 divided by 1068?\nAnswer: 632\/267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8488626 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**2\/4 + 1095*x\/4 - 12771\/2 = 0 for x.\nAnswer: -387, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 794116 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyzi when four letters picked without replacement from {i: 2, z: 1, y: 11}?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124950 (base 10) to base 4.\nAnswer: 132200112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(-52 - 10 - 18)*(35*x - 6*x - 4*x).\nAnswer: 4000*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -551 + 550.7. Let y = -9 + 4. What is the third biggest value in -3\/7, 2, y, x?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (35 - 33) - 46.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -4*d + 7*d + 4, -4 = -4*i + 4*d. Suppose n + i = 3. Suppose 5*a - 33 = 27. What is the lowest common multiple of n and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 7:53 PM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9098135227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1593 + 4434*x - 50 - 1540)*((x - 4*x + x)*(-4 + 1 + 4) - 5*x + 2*x + x + 3 - 3 + 2*x) to s*x + k*x**2 + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2481.639798 rounded to the nearest one hundred?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 12. Let u be (-2 - m)*(-11)\/(-4). Let p = 14 + u. Solve 17 = p*d + 4*r, 0 = 4*d - r - r + 14 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 24 = -2*x. What is the greatest common factor of 12 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1715, -6852, -15415, -27404?\nAnswer: -42819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3*j + 4*m = 0, -4*j + 3*m = 0. Suppose -x - 4*x + 140 = j. Let q = x + -15. Calculate the remainder when 24 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of 2*n**6\/45 + n**5\/24 + 5*n**4\/8 + 11*n**3\/3 + 25*n. Let z(m) be the second derivative of x(m). Is z(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3418739130 to the nearest integer?\nAnswer: 58470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -20*x - 39. List the prime factors of n(-11).\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-8)\/(96\/66).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - 3. What is the remainder when (81 - 4) + 6\/z*-4 is divided by 23?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 11) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 36187 - -1270?\nAnswer: 37447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/((32\/12)\/4). Suppose 3*p = -c, v + 1 = 6*p - 3*p. Sort -5, v, 1 in descending order.\nAnswer: 1, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (148\/(-10))\/((-31262)\/910 - (-4)\/26) and 3 + -7 - (-181)\/27.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-30)\/(-60))\/((-3)\/(-252)). Let o = -88 - -124. Let t = -22 + o. What is the highest common factor of t and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4\/5)*w*w*w**(-2\/23)*w\/(w*(w**1*w)\/w*w)*(w\/(w\/(w*w*w**(-2\/3)*w)))\/w)**(-5\/8) assuming w is positive.\nAnswer: w**(-77\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1920 = -983*w + 1103*w for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4105 is divided by 196.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-3) - (2\/3)\/2. Suppose -5 + f = -2*d. Solve -3*b - d = 10 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 j when four letters picked without replacement from dnkjjjjkkn?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 141 + 0?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56 and 44?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1938712.69 to the nearest one thousand.\nAnswer: 1939000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 5045 and 25226\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2286, 3, -12089 in descending order.\nAnswer: 3, -2286, -12089","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 3*s**3\/8 + 28521*s**2\/4 + 271149147*s\/8 = 0.\nAnswer: -9507, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16988 - 1510. Does 221 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**2*j*k**3 - 2*b**2*j*k**2 + 4*b**2*j - 1540*b**2*k**3 - j*k**3 + 2*j*k**2 + 195*j wrt k.\nAnswer: -6*b**2*j - 9240*b**2 - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1176764 is divided by 30.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32195)\/(-10549) + (-1)\/(-11).\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**3 - 5*z**2 - 8*z + 4. Is a(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 15*g = 3*b - 7*g + 240 - 214, 6*b + 3*g + 45 = 0 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 37, -0.26, 1.37?\nAnswer: 1.37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13390 is divided by 150.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11267 or 7631?\nAnswer: 7631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.5 - 1.5. Which is the second biggest value? (a) 2\/3 (b) 0.5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -eb (base 15) to base 10.\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + o + 4. Let j be n(0). Suppose 0 = j*b - 2*b - 396. Let x be 3*((-220)\/(-6))\/5. Calculate the greatest common factor of b and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.468543 millilitres in litres?\nAnswer: 0.003468543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 156 and 102756?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -141666.1811 - -857.66.\nAnswer: -140808.5211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/303 and 22\/2085.\nAnswer: 210585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 215 divide 81915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1430315767 to the nearest integer?\nAnswer: 1127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.182062 millilitres to litres.\nAnswer: 0.000182062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1895 - 3799 - 577*x**4 + 1902 - x**3 to w*x**2 + f*x + k + y*x**4 + z*x**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43594?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 302 bigger than -9.36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 2*p - 8, 5*j + 4*p - 5 = p. Let b be j - ((-10)\/(-2) - 1). Let k = b + 15. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13634.\nAnswer: 2, 17, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 302 is divided by 143.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46078048 - -46077975.999999. Let q = i + 72. What is q rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, a: 10, o: 4, z: 4}. What is prob of sequence too?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-25)\/(-1) + (3 - 0\/(-4)). Suppose t - 38 = -2*o. What is the smallest value in -0.2, o, 1\/5, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7567, -10262, -12967, -15688, -18431, -21202, -24007, -26852?\n\"Answer: -f**3 + f**2 - 2691*f - 4876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*33\/88)\/((-1925)\/(-308)*1\/(-15))?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/5 in -1, -2, 2, -9253?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/288 and -115\/864?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.059? (a) 6\/11 (b) -4 (c) 0.3 (d) -81256\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4314 (b) -3\/5 (c) -3 (d) 0 (e) -59 (f) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01 * 453.\nAnswer: -4.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 4, 1\/6, -6, -0.3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1bb154 (base 12) to base 7\nAnswer: -4134325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 2 - 20. Is (-9)\/m - 253\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -4 + 0*j - 1 + 2*j - 3*j. Suppose 0 = -5*z - 7*q + 9*q - 39, 2*z + 22 = 4*q. What is c(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4 + sqrt(98))*3*4)**2 - ((sqrt(98) - (sqrt(98) + (-3*sqrt(98))**2*-2)) + -2))*6 + -4.\nAnswer: 48384*sqrt(2) + 87920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 - 3 - (1 + -2 + 2). Suppose -3*t = 5*q - 26, -5 - 11 = k*t - 5*q. Suppose -4 - 6 = -t*c. Solve -1 = 5*h + v, -2*h - 5*v - 10 = -c for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.123, -1\/11, -2, -11 in decreasing order.\nAnswer: 0.1, -1\/11, -0.123, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s - 2*s + 3*s)*(-4*s**2 - 9*s**2 + 48*s**2) + s**3 - 6*s**3 + 0*s**3.\nAnswer: 30*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*r**3*x**4 + 273*r**3*x**3 + 7*r**3*x - 17*r**2*x**2 wrt x?\nAnswer: 168*r**3*x + 1638*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 0 - 0 - (0 + (-790)\/(-460)) and 37\/((-35)\/21*6).\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 20*q + 17. Let b be u(-19). Let x(i) = -77*i**3 + i**2 + i - 5. Is x(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a*b**4 + 1380782*a + 56965*b**3 - 2*b wrt b.\nAnswer: 12*a*b**2 + 341790*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14224 + 1013?\nAnswer: 20242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -0.5, 10.51, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 49886 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dbdddbbdbbdbbbddbbd. Give prob of sequence dbb.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (25\/(-150))\/((-2)\/12). Let j(g) = 8*g + 7. Let v(l) = 123*l + 1 - 54*l - 68*l. Give t*j(z) - 5*v(z).\nAnswer: 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110 + 55 + 55 + 0*l + 65*l.\nAnswer: 65*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 7*r - 15. Suppose -36 = -4*j - 6*g + 2*g, 4*j + r*g - 32 = 0. Calculate the remainder when j is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-15)\/(-30)*4\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**5 + m**4 - m**2 + m + 1. Let v(s) = 40*s**5 - 3*s**4 - 22*s**2 - 3*s - 3. Let i(u) = -3*b(u) - v(u). What is the third derivative of i(j) wrt j?\nAnswer: -2580*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 8:31 PM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*z - 22. Let f = z + -10. Calculate the remainder when f is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52963725?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -22435433 (base 7) in base 13?\nAnswer: -537731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.5 - -0.1. Let j(y) = y**2 - y - 10. Let r be j(-3). Which is the second smallest value? (a) v (b) -2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*h**3 - h**3 + 8*h**3 + 3 to w*h**3 + l*h**2 + r*h + j and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 950226 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -99 in -4\/767, 2\/9, -7.8?\nAnswer: -7.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzsumumhb. Give prob of sequence mz.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from nnvnnnvnrrvrnr.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1.27 + -18.9913\nAnswer: -17.7213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -562, -598, -20, 1166, 2954, 5338, 8312, 11870?\n\"Answer: -k**3 + 313*k**2 - 968*k + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*v - 7 - 10 + 13*v.\nAnswer: -8*v - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2, 0.1, 1580?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28708 and 352.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 9. Suppose -x*b - 9 - 119 = 0. Let o = -7 - b. Is o a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206906657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6052361 to three decimal places.\nAnswer: 0.605","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*x - 86 = -136 - 70. Suppose -4*o + 3*o + 143 = 3*l, 0 = 4*l + 5*o - 187. Solve -7*v - x*v = -l for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 50*k**2 - k - 76. Let j be m(5). Calculate the greatest common divisor of j and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 246 - 122. Suppose -w + 6 = -k. Suppose -4*n + k = 26. What are the prime factors of n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -1, -137?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 2:16 PM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 2) + 1 + (0 - 7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 2*v - 367, -3*y + 9 = 2*v - 212. Suppose -y = -13*d - 8. Let s(o) = o**2 - 3*o - 2. Determine s(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + sqrt(38)\/sqrt(2) + -2 - (sqrt(19) + (sqrt(931) + sqrt(931) + sqrt(931) + sqrt(931) + sqrt(931) + -2*sqrt(931))**2).\nAnswer: -8381 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 51641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 383 - 148 = 0. Calculate the common denominator of 28 and n*(-2)\/8 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(306)*-2*-6)\/(sqrt(81)\/(-2*sqrt(9)) - sqrt(9)))\/((sqrt(72) - (sqrt(72) + 3*sqrt(72)*2 + sqrt(72) + sqrt(72)))*-3).\nAnswer: -sqrt(17)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1890794*y**4 + 4680172*y wrt y?\nAnswer: -22689528*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2370649?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 15. Let s = -155 - -89. What are the prime factors of c\/(-14) - s\/14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2351 is divided by 56.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(468)\/(sqrt(9)*-2*-6) + -3*(sqrt(4212) + 1).\nAnswer: -323*sqrt(13)\/6 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14644681 is divided by 395802.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 7*g + 35. Calculate a(9).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**4 - 18*j**3 - 20*j**2 = 0. What is j?\nAnswer: -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*v = 5*b + 50, b - 102 = 2*v - 91 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.84 - 6. Let t = 1.04 - l. Let c = t + -0.2. Which is greater: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of 1 + 5*h + 1\/2*h**2. Let m(l) be the third derivative of -l**4\/8 - 2*l**3 + 9*l**2. Give -12*k(g) - 5*m(g).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 31906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1121205 (base 10) to base 12.\nAnswer: 460a19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 10*g - 15 = 7*g, -5*g = -3*d - 23 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of 22*b**7\/35 + 4*b**3 + 41*b**2. What is the derivative of y(t) wrt t?\nAnswer: 528*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 27*r**4\/4 - 221565*r**3\/2 + 454559061*r**2 - 101007654*r = 0. Calculate r.\nAnswer: 0, 2\/9, 8206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 + -25. Let q(t) = t**2 - 11*t + 21. Let x be q(10). Suppose 0 = -x*a + 5*a. Solve a = h*w - m + 16, -5*w + 4*w - 13 = 2*m for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 1\/6, 2\/25, 0, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/8)\/((-42)\/28).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 3*h**2 + h. Let a be d(3). Let k be a - (0 + 2)\/(-2). Solve k*q + 9 = -11 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 2:47 AM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8489\/2 or -25?\nAnswer: -8489\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2812*g - 1298*g**4 - 190*g**4 - 298*g + 782*g**4 - 1480*g**4 wrt g.\nAnswer: -26232*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/12, 99.24, 59 in ascending order.\nAnswer: -5\/12, 59, 99.24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 65 = 6*c, -1748*l + 1747*l = -2*c - 15 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*p - p**2 - 4*p)*(-6 + 2 + 2) + p + 4*p**2 - p)*(-p + p + 4*p)*(-3*p + 3*p - p**2).\nAnswer: -24*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 236*a + 450. Let v(i) = -i. Let g(j) = 4*n(j) + 36*v(j). Determine m so that g(m) = 0.\nAnswer: -225, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 7. Suppose b*g + 3*g - 185 = 0. Suppose -132 = -5*p - g. Is p a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 2*c - 119, -201 = -5*r + c - 3*c. Suppose 3*n = 22 + r. What is the remainder when n is divided by (-502)\/(-46) - (10 + (-3016)\/299)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -541449*y**2 - 145*y - 14. Let i be p(-7). What is i rounded to the nearest 1000000?\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -110, -118, -130, -146, -166, -190, -218?\nAnswer: -250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 946.\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-39)\/(-182))\/(240\/56)*4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 179754, 0, 684 in ascending order.\nAnswer: 0, 2, 684, 179754","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1.9*0.0875\nAnswer: -0.16625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 65218717 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -519 + 285 + 234 - 3*f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 19*v**2 - 203*v + 315. Calculate t(-27).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -y, 4*y - y = 5*c - 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 6, 1486 = 2*a - 6*t + 2*t. Let x = a + -313. Is 44 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4.4136168 and -2.9.\nAnswer: 1.5136168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189319 is divided by 4115?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -444072 (base 10) to base 3\nAnswer: -211120011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, h: 4, e: 2, v: 1}. What is prob of picking 2 h?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6184)\/(-7730)*((-2)\/76*-15 + 0).\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -319*g + 170. Let f(s) = 8*s. Let m(r) = -40*f(r) - 8*k(r). Differentiate m(o) wrt o.\nAnswer: 2232","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (-6 - -31) - (-10 - (-7 - 15))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110000100100011100111001 - 101?\nAnswer: -110000100100011100111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1895 divided by 3?\nAnswer: -1895\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-5) - 418\/55. Let s be (2\/(-8))\/(2\/z). Solve -3*l - 1 = -p - 14, 3*l - s = -2*p for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.2, -4, 2\/9, -54.\nAnswer: -54, -4, -3, 0.2, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 884.5.\nAnswer: -3538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/9 - 64\/(-6). Suppose -i = 3*u - 7, -4*i - k - 7 = 3*u. Let l = i + 18. What is the greatest common factor of l and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1021323 (base 4) in base 16?\nAnswer: -127b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - 12. Let l = q - -34. Let i(w) = -5*w**2 + w. Let z(h) = -4*h**2 + h. Calculate l*i(u) - 4*z(u).\nAnswer: u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 33*h**2 + 148. Give p(33).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -550 + 550 - v. Let g(h) = 2*h**2. What is j(g(l))?\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1006*c = -1007*c + s + 7, 0 = c + s + 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q. Let i(c) = -10*c**2 - 449*c. Give i(o(h)).\nAnswer: -40*h**2 - 898*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + p - 3 = 0, -4*p = 4*j + 84. Calculate the common denominator of 1*(-1 - (-106)\/j) and 4\/(-22)*(-47)\/2.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -327811835?\nAnswer: -327811831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z. Let b(c) = -270*c**2 + 17*c - 17. Let a(x) = -45*x**2 + 3*x - 3. Let v(o) = 34*a(o) - 6*b(o). Calculate v(m(g)).\nAnswer: 360*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -25\/12*o**4 - 15*o + 11\/2*o**2 - 1 + 0*o**3. Let v(d) = -13*d**2 + 6. Calculate -6*j(n) + 11*v(n).\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -8*o + 17. Suppose 3*i + w + 17 = 0, -8*i + 5*w = -3*i + 15. Let x(n) = -n + 1. Let k(r) = i*x(r) + s(r). Is k(-7) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 4*f**2 - 5*f + 1. Let p be y(5). Let u be (-6 + (-430)\/(-80))*-8. Suppose -u*d + 12 + 18 = 0. Solve -3*r + p = 2*k - 4, 2*r - d = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3872 = -15*q + 3902 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**3 + 2*c**2 - 3*c - 2. Let r be l(-2). Let z = -4 - r. Suppose 5*n - 10 = -z*n. Solve -n*q = -0*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 5) to base 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*r**6 - 11*r**6 + r**2 - 10*r**2 wrt r?\nAnswer: -2160*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**3 + 3*b**3 - 6*b**3)*(2 - 44 + 18).\nAnswer: 72*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 74125726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2858335*r**3 - 10467148*r?\nAnswer: 17150010*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 1\/3, 1\/4, 5\/4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -2*k. Suppose -5*r = -3*r - 2. Suppose 0 = l - 6 + r. Solve 5*t - t - 7 = z, k = l*z - t - 22 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*m**4 - 4*m**2 + m**2 + 3*m**4)*(1 - 10 - 17)*(5 - 5 - 3)*(-1 + 2 + 2) to z*m**2 + j*m**3 + i*m**4 + p + g*m and give z.\nAnswer: -702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-5*(-18)\/525)\/(-1*(-20)\/70)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + 1. Let q = j + -11. Let c = q - -4.9. Is c smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 1. Let h(b) be the third derivative of b**5\/12 - b**3\/6 - 56*b**2 + b. Calculate h(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 50?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40194\/5 - -7992. Let x = -68 - -115. Let k = y + x. Which is the third smallest value? (a) -3\/5 (b) k (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6619612231 to the power of 1\/3, to the nearest integer?\nAnswer: 1878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 17, -46761, -4 in decreasing order.\nAnswer: 17, 4, -4, -46761","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 37475694 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 8\/((-24)\/(-45)). Let b = 5103 - 30539\/6. Is d bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (24 + -30 - (3 + -1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -19 - (-8 - (-42 + 25)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3*q - 3*m + 501, -3*q = 4*m - 754. Let z = 5884 - 82443\/14. What is the common denominator of -2 + -1*q\/(-28) and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 100 and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1501, 11915, 40153, 95119, 185717, 320851, 509425, 760343?\n\"Answer: 1484*h**3 + 8*h**2 + 2*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 302 > 302?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -v - 3*v - 38, 4*h = -5*v + 30. Let u = -19 + 38. What is the remainder when u is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*w**2 - 9*w**2 - 2*w**2 to the form r*w + n + o*w**2 and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**4 + 4084971 - 26*z**2 - 5*z**2 - z + 22*z**3 - 4084968 as x*z**3 + a*z + i + p*z**4 + c*z**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5753*0.2.\nAnswer: 1150.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/6 of a day in minutes?\nAnswer: 4080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0 (b) 80 (c) -4 (d) 1\/7 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1301320 (base 4) in base 7?\nAnswer: -30151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2028423115?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0 (b) 0.01 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30997 is divided by 43.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -32. Suppose -4*k + 58 = -82. Let m be (-23)\/x - (-14)\/k. Sort 2\/9, -3, m in ascending order.\nAnswer: -3, m, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3616641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2021112 + -20110011?\nAnswer: -11011122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*r + 7 = 0, -3*r - 6 + 1 = 4*i. Sort 2, 4, 16, i in increasing order.\nAnswer: i, 2, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2363912, 2363898, 2363866, 2363810, 2363724, 2363602, 2363438?\nAnswer: 2363226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.6 - -0.3. Let y = 4\/105 - 34\/105. Let u be 15\/(-150) + -5 + (-162)\/(-45). What is the nearest to y in a, u, 6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -15, -6, 3, 12, 21?\n\"Answer: 9*u - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4fd (base 16) to base 3\nAnswer: 1202022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/10721655 and -9\/4765180.\nAnswer: 42886620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g - 7*g + 2*g)*(7*g**3 + 13*g**3 + 13*g**3)*(-g + 3*g - 8*g).\nAnswer: 1584*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31460*m**4 - 24170*m wrt m?\nAnswer: -377520*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -10*h. Let u(w) = 14*w + 1. Calculate u(s(d)).\nAnswer: -140*d + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -10*v. Let j(y) = 98708*y. Give j(u(d)).\nAnswer: -987080*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3213*y**2 - 40*y**4 - 1607*y**2 + y**4 - 85 - 1607*y**2 wrt y.\nAnswer: -936*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000048864289 rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 2\/3 (c) -7946\/11 (d) 0.2 (e) 1\/2 (f) -1\/135\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a + 80. Let r be u(0). Suppose r = 5*m + 50. Suppose 0 = -3*p - 2*x + 24, 2*x = 2*p - 0*x - 16. Solve -2*w = -2*v + m, -v = -3*v + p for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**3 + 3*k**2 - 2*k - 1. List the prime factors of f(2).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1307432 is divided by 986.\nAnswer: 982","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 6*g**2 - g - 4. Let n be a(-6). Let s = 6 - n. What is the remainder when 8 is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 12796*m + 263. What are the prime factors of z(6)?\nAnswer: 41, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/5 (b) 83\/28 (c) -2 (d) 5\/4 (e) -71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1810 + m - 2163 - 2929 + 1592 - 119 in the form l*m + s and give s.\nAnswer: -5429","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 790 = 5*n - 900. Let r be 5\/(-20) + n\/8. Suppose 2*d + 2*v = r, -3*v = 2*v - 5. Is d a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1462541 and -34?\nAnswer: -49726394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53 by -53.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 0.4, -2, 1, -1\/14, -33\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.0093 - 1.1\nAnswer: -1.1093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000632 to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3 - 15474*d**2 + 201476*d - 186000.\nAnswer: -2*(d - 12)*(d - 1)*(d + 7750)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5*h + 391 = -334, 2*h = 5*t - 1865. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 389869*r - 141958 with respect to r.\nAnswer: 389869","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-46)\/(-42) - (-4)\/(-6). Let x = 364 - 362. Let m be (9\/42)\/(0 + x\/4). Which is the nearest to l? (a) -5 (b) 0.5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 4*t + 5. Let p be v(-6). Let k = 5 + p. Suppose -6*c = -2*c + 4, 7 = -5*s - 2*c. Put k, 3, s in decreasing order.\nAnswer: 3, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/10 (b) 9951 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -68 or 489?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, f: 1, a: 1, q: 3, h: 6, g: 4}. What is prob of picking 1 q, 1 a, 1 b, and 1 f?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 902451443.\nAnswer: 17, 53085379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7\/18 - 37\/72. Let z = 0.452 + -4.452. Put s, -1\/2, 5\/3, z in decreasing order.\nAnswer: 5\/3, s, -1\/2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -141993277 greater than or equal to -141993277?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1391 and 383981?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 7:15 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**3\/7 + 18*y**2\/7 + 132*y\/7 + 16 = 0. What is y?\nAnswer: -4, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2508 and 13348.7.\nAnswer: 33478539.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 49 + 31 = 0. Suppose -23*j - 12 = -2*p - 19*j, -2*p + 5*j + 13 = 0. What is the derivative of -29*y**4 - 20*y**4 + 48*y**p + s wrt y?\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - f**2 - 3*f**4 + 2*f**3 + f - 1 + 0 as n*f**2 + y*f + o + t*f**4 + v*f**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s - 25. Let z be m(17). Let k = z - -12. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55110191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -627569 and -9.2.\nAnswer: -627578.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7235, -7232, -7229, -7226, -7223?\nAnswer: -7220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**3 - 2 + 2)*(1 + 3 - 3)*(-9*u**2 - 38*u**2 - 27*u**2)*(-4 + 1 + 0) + (4*u**4 - 2*u**4 + 2*u**4)*(5*u - 10 + 10).\nAnswer: 242*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1379428449?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 5, 10 in ascending order.\nAnswer: -4, 1, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.9 - -0.1. Let m = 4 - r. Let k = m + -2. Put 0.5, -0.3, k in increasing order.\nAnswer: k, -0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*1.61\nAnswer: -3.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 18.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 5*u - 4*n, u + n = -3 + 4. What is the remainder when 109 is divided by -2*(2 + u) - -18?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-224)\/616 + 82\/165.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 8*n + 9 + 6 - 11*n. Is 6 a factor of b(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.1 (b) -2 (c) 1701 (d) -0.4 (e) -42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = a - 48. Calculate the lowest common multiple of a and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4869?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = q + 4*n, -7*n = 3*q - 2*n - 32. Let k = 24 - q. Determine z, given that -4*z - 14*z**4 - 4*z + 12*z**2 + k*z**4 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 21*q**2 + 124*q + 115. Let p be k(-6). Calculate the highest common factor of p and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2 - 158728*i - 2064140.\nAnswer: 4*(i - 39695)*(i + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/183520 and -133\/520.\nAnswer: 2385760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 487 is divided by 124.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, q: 1, y: 3}. Give prob of sequence yo.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/52)\/1*3445\/(-1325)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.57 - 7.09. Round u to 1 decimal place.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4}. Give prob of sequence ooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82 - (25 + 28) - -76.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.56 - 0.06. Let u be 18\/54*(-24)\/(-10). Which is the nearest to u? (a) -8 (b) 4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 3*s - 251. Let i be 1\/3 + ((-1565)\/15 - -6). Let d = i + s. Solve 0 = 3*v - d*v + 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 33 = 2*s + 6*g, 0 = 3*g - 15 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 18*g + 3. Let u be o(2). Calculate the highest common factor of u and 117.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1757252 < -1757254?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -166736, -166735, -166734, -166733?\n\"Answer: b - 166737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 16, -13*c + 11*c - 3*l = -42. Suppose 3*o = -a + 610, -198 = 14*o - c*o + 5*a. Calculate the remainder when o is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 3 + (9 - 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: e (base 16) to base 6\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 + -9 + 4213\/(-110) - -19) + 7?\nAnswer: -13\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5572438?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/26*1198\/(-4193)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 12*o - 197. Let f be y(19). Suppose 0 = 7*p + f - 178. What is the remainder when p is divided by 32\/6*3\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81, -165, -235, -285, -309, -301, -255, -165?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/5 + 10*h - 48\/5.\nAnswer: -2*(h - 24)*(h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1324 is divided by 147.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 9*r**2 + 1. Suppose h = -10 + 1. Suppose -4*v - 2 = 2*o, v + 11 = o - 3*v. What is the smallest common multiple of o and s(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102 (base 4) to base 5\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21650831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 292 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 10*p**3 + 40*p**2 - 14*p - 4. Let u(y) = 3*y**3 + 13*y**2 - 5*y - 1. Let a(i) = -5*j(i) + 16*u(i). What is n in a(n) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 95094903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000363 rounded to seven dps?\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 4:51 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00092631421 to five decimal places.\nAnswer: -0.00093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3716669, -7433365, -11150061, -14866757, -18583453?\n\"Answer: -3716696*t + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + (-5)\/((-10)\/(-4)). Let b(j) = -2*j + 7. Let v be b(5). Let z be v + 5 + (i - -4). Calculate the greatest common factor of 9 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 76 - 62. What is the highest common divisor of u and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.27566 nanometers to kilometers.\nAnswer: 0.00000000008527566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 3*v - 48 - 64, 3*v - 108 = 3*i. Suppose -58 = -10*b + v. Calculate the greatest common divisor of b and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -5*a - 15 - 15, -4*a = t + 36. Let f = a + 13. Suppose 0*c - 48 = -f*c. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4*g - 19. Let m be t(8). Let i = m + -9. What is the greatest common factor of 20 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, k: 1, p: 12, u: 2, j: 2}. Give prob of picking 2 j, 1 u, and 1 k.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 + 141. Let a(p) = p**2 + 10*p + 14. Let s be a(-14). Calculate the highest common divisor of s and l.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaiaaazaiapap. Give prob of sequence pip.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y + 11 = -19 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 53 = 3. Let t be 288\/30 + (-4)\/n. What are the prime factors of 2\/5 - (-56)\/t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-195)\/(-12))\/((-6405)\/1098*6\/(-56))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 + -3 + -1)\/(-2). Let u(y) be the first derivative of 0*y**3 + r*y**4 + 0*y + 0*y**5 - 1 + 1\/2*y**6 - y**2. Find the second derivative of u(g) wrt g.\nAnswer: 60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 44976833?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-2)*3*(-1)\/(-45)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*i - 4830 - 4833 + 14498 - 4833.\nAnswer: -80*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8.48 + 14.5. Let x = z - 0.42. Let d = 5.599997 - x. Round d to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 682110 and 1908?\nAnswer: 1364220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 568482 to the power of 1\/2, to the nearest integer?\nAnswer: 754","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and 10311.982877.\nAnswer: 10307.982877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of -h**6\/24 - h**4\/3 - 9*h**2. What is the second derivative of p(n) wrt n?\nAnswer: -30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10931 + 10958. Solve 0 = 1681*q - 1690*q + g for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -13*t**2 + 4*t. Let q(y) be the first derivative of -15*y**2\/2 + 3862. Give x(q(r)).\nAnswer: -2925*r**2 - 60*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(-3) + (-2)\/(-2). Let u = -496 - -534.3. Let w = u - 38. Sort d, w, -0.4 in ascending order.\nAnswer: d, -0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -157440 rounded to the nearest 10000?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 4. Let x(r) = -r**2 + 7*r - 9. Let q be x(5). Put c, 1\/3, q in increasing order.\nAnswer: c, 1\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 126 - -51. Let b = 178 - l. What is b rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (80*c**3 + 58*c**3 + 19*c**3)*(c + 5*c - 2*c).\nAnswer: 628*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 4093?\nAnswer: -4088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 15 = -j + 6*a, -j = a + 3. Let q = 25 + j. Let o be 9\/(-4 + q\/8). Which is smaller: -4 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11260 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -3337, -2\/15, 3\/2 in descending order.\nAnswer: 3\/2, -2\/15, -0.3, -3337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1373, 3416, 6203, 9734, 14009, 19028?\nAnswer: 24791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 + 3*z**2 - 6*z**2)*(1 - 5 + 1)*(2 - 2 + 1).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -195.3 - -195. Let x = 0.24 + -0.2. Which is the closest to 0? (a) q (b) x (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 10828.\nAnswer: 54140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.224737 - -0.225. What is g rounded to 5 dps?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-10) - (-9)\/5. Suppose 5*q - 12 = -4*p, 3*p + c*p - 15 = -3*q. Solve -7 = p*r - 22 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, v: 6}. What is prob of sequence vm?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -46\/5, 2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -811 by 811.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from acuacujcccccjcccaccj. What is prob of sequence cujc?\nAnswer: 11\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 4*v**3 + 5820*v**2 + 270332*v + 264516 = 0.\nAnswer: -1407, -47, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -40. Is 16 a factor of u\/(2\/((-12)\/(-3)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.5 + -2.5. What is the third smallest value in 0.05, s, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - x. Let m(q) = 4*q**2 + 4*q - 1. Let k(u) = -u**2 + 22*u + 1481. Let r be k(51). Give r*n(h) + m(h).\nAnswer: 2*h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -13*q + 2921. Let d(u) = 5*u - 973. What is 8*d(f) + 3*r(f)?\nAnswer: f + 979","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -8*y**3 - 6*y - 11. Let c(s) = -7*s**3 - 5*s - 11. Suppose -565*a - 68*a = 1119 + 2046. Calculate a*t(z) + 6*c(z).\nAnswer: -2*z**3 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 860094 is divided by 71674?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(459))\/(sqrt(48)*1).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k*k**0)))\/k*k**(2\/7)*(k\/(k*k**(2\/3)))**(-49) assuming k is positive.\nAnswer: k**(692\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -y**4\/36 + 2*y**3\/9 - 2*y**2\/3 - y - 2. Let g(a) be the first derivative of p(a). Determine i, given that g(i) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 2*k + 2*k = 204, 3*h = -4*k + 149. Calculate the remainder when h is divided by (90\/(-11 + 1))\/((-2)\/(-8)*-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 123335 * -478.6\nAnswer: -59028131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 55 = -b, b = -4*p + 5*b + 20. Is 2 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 4:32 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 26*v - 230. Give q(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-7)\/(28\/27))\/((-6)\/16). Calculate the common denominator of -103\/18 and -146*(-7)\/180 - l\/45.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**2 + 0*b**2 + 2*b**2 + ((-4 + 5 - 3)*(-4*b**2 + 2*b**2 + 3*b**2) + 0*b + b**2 + 1848 - 1843 + 5*b)*(-1 + 0 + 3).\nAnswer: -b**2 + 10*b + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-15)\/(-90))\/(5 + (1 - -1)). Let q(k) be the second derivative of -1\/7*k**2 - 2\/21*k**3 + 0 - 10*k - w*k**4. What is f in q(f) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*n**2 + 2*n**2 - n**2)*(-3 - 9 - 29*n + n + 14 - 3).\nAnswer: -252*n**3 - 9*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hsgr when four letters picked without replacement from {s: 1, h: 1, r: 1, g: 1, w: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 68.9876 centimeters?\nAnswer: 0.000689876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 640 = -44*p + 68 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13 + 34?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2849 + -2639. What is the greatest common divisor of n and 4095?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4585?\nAnswer: 5, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80 divided by -40.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, 1, 1\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-217*i - 13*i - 18 + 8 + 38*i)*(-2*i + 3 - 3).\nAnswer: 384*i**2 + 20*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153414*d = 153418*d - 35*f - 354, 2*d - f = 12 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33888374621 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3210617918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 106836*r**2 + 25914*r?\nAnswer: 213672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5 = 2*j. Let m be (3\/j - 4) + 7. Let n = -24 - -28. Solve v + 5 = 3*f - m, n*f - 23 = 3*v for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58331587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 40577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 54457373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/16 and -7\/362.\nAnswer: 2896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 95, 56, 28, 1, -1.\nAnswer: -1, 1, 28, 56, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lcmmmsucmuu. Give prob of sequence suml.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*b + 98 = 31*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 13, t: 1, b: 1, g: 3, u: 2}. Give prob of sequence grr.\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = g + a, -4*a = g - 6*a - 4. Suppose -27 = -g*b + 3*b. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 989 - 4?\nAnswer: 985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -419504779 and -419504779 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/11590 and 49?\nAnswer: 11590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y - 1. Let a(v) = -9*v + 2. Give a(f) + 3*o(f).\nAnswer: -6*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zphh when four letters picked without replacement from {n: 8, z: 4, p: 2, q: 3, h: 2}?\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -16*j**3 + 34*j**2 + 11*j + 11. Let o(p) = 3*p**3 - 7*p**2 - 2*p - 2. Give -11*o(t) - 2*v(t).\nAnswer: -t**3 + 9*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 432*b**3 + 9411*b**2 - 9347*b**2 - 426*b**3.\nAnswer: 6*b**3 + 64*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 67, 45 in decreasing order.\nAnswer: 67, 45, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + c - 1. Suppose -4*r - 12 = -32, -16 = -g - 3*r. Let a(t) = -24*t - 1 + 27*t - 8*t. Determine g*x(k) - a(k).\nAnswer: -k**2 + 6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vee when three letters picked without replacement from evevvnevn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -17*h - 4299. What is l(-263)?\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -5 - 0. Let w = 40.07 + -40. What is the second biggest value in w, -1\/5, c?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75280 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-45)\/9 - -8)\/(1\/(-2)). Let k be 12*(-2)\/v - 1. What is the closest to -0.2 in 2, k, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -0.028251092?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, 6, 108, 320, 678?\nAnswer: 1218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18836 less than 5.634?\nAnswer: -18830.366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*y + y - 650. List the prime factors of (-17010)\/y + (-4)\/(-26).\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27536102?\nAnswer: 2, 11, 1251641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 49217131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of (-3)\/2*104\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-94891)\/(-144810)*3 - (-1)\/(-5). Let v = j - -4\/4827. Find the common denominator of v and 67\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1455 + 2167. What are the prime factors of b?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -30*c + 27*c - 1, 5*s = -5*c - 10. Let q(y) be the first derivative of -8 - 2\/33*y**c + 0*y - 2\/11*y**2. Factor q(b).\nAnswer: -2*b*(b + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12637.96 to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.0078, -4, 1\/11, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -8 + (12\/3)\/2. Let g = 7 - d. Calculate the highest common divisor of 143 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1743082 (b) 8 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = m + 2*m. Let f = m - -6. Let d be (-22)\/4*(1 + f). Calculate the highest common factor of 11 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (4 - 3 - -4) + -9 + -5\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -115, -215, -357, -547, -791, -1095?\nAnswer: -1465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of 1211*r**5\/20 + 287*r**4\/3 - 15*r - 1. What is the third derivative of u(o) wrt o?\nAnswer: 7266","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 0.2, 3, -234?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -20*h**3 - 47*h**2 + h + 8. Calculate t(2).\nAnswer: -338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 19 = 2*h, -3*x + 16 = -3*h + 2*x. Solve 5*f + 5*g = 0, -5*g + 36 = -7*f + h*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 8*g**2 + g - 12. Calculate y(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 4*j + 27 + 21 = 0, 0 = -m - 2*j. Let z(u) = 4*u**2 - 33*u + 5. Determine z(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s + 0*s + 6*s)*(-41*s**2 - 34*s**2 - 107*s**2 - 4*s**3) in the form v + j*s**4 + u*s**2 + f*s + b*s**3 and give j.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**3 - 8*p**3 - 7*p**3 + (p**2 - 2*p**2 + 3*p**2)*(-3*p + 0*p + p) + 6 - 6 - 2*p**3.\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1632225 and 435804075.\nAnswer: 435804075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 150059 and 3094?\nAnswer: 1547","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x + 162. Let q(y) = 109*y. Give q(h(s)).\nAnswer: -109*s + 17658","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 5*m + 3*a - 6, 2*m + a - 4 = 0. Suppose -2 = m*n, -5*w - 2*n + 18 = -0*n. Solve -5 - 11 = -w*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -5*v - 2*v - v**2 + 1 - 9 - 2*v. Let k be s(-8). Is k >= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27578615?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2. Let f = -18 + 22. Suppose 14 + 6 = f*b. Let y(u) = -4*u + b*u + 0*u. Give j(y(x)).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 13) in base 5?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (870 + 127*z**4 - 870)*(4*z + 0*z - 7*z - 3).\nAnswer: -381*z**5 - 381*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 177892430?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*v - 831 + 891. Solve -v*i - 3*c - 3 = -12, 2*i - 5*c = -29 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 234 - 239. Is (-7190 - (b - -1))\/((-18)\/9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - 8*i - 14. Let u be a(-10). Let n(t) = t**2 + 3*t + 3. Let o(s) = -6*s**2 - 17*s - 17. Let f be (-5)\/(-1)*-1 - 1. Calculate f*o(y) + u*n(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -790 >= -779?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4 + (sqrt(15)\/sqrt(27)*6 - (sqrt(15)\/(sqrt(3)*2) + sqrt(5) + sqrt(405)\/sqrt(9)))**2).\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -5*s**3 - 59*s**2 - 27*s + 193. What is w(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 4*s**3 - 18*s**2 + 79*s - 183. What is v(8)?\nAnswer: 1345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2000302, 2000308, 2000312, 2000314?\nAnswer: 2000314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of -5*n**7\/42 - n**6\/60 + 20*n**3\/3 - n**2 + 12*n. What is the first derivative of y(h) wrt h?\nAnswer: -100*h**3 - 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 15) in base 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by -12950?\nAnswer: -13\/12950","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z*z*(z**2\/z*z)\/z*z)\/(z*(z*((z**(-3\/4)*z)\/z)\/z)\/z)*z**(8\/3)*z*z\/(((z\/((z\/(z\/z**(1\/7)))\/z))\/z)\/z*z) assuming z is positive.\nAnswer: z**(887\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/(-2) - -35)\/(-1). Let t = 42 + j. Let d be (-12)\/((-45)\/(-10) - t). Is d greater than or equal to -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -5*m + 3*n - 10, 2*m - 6 = -4*n. Suppose 4 - 19 = 5*o, -3*s + 3*o = -27. What is the second biggest value in s, -0.4, m?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 13168188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-14)*m**(-8\/5))\/((m**8*m)\/m)**20 assuming m is positive.\nAnswer: m**(-878\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*q**2 + 26*q - 26*q)*(-2*q + q - q)*(5*q - 8 + 8).\nAnswer: 230*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (34 - (0 - 2)). Let b be (-10)\/a*(-21)\/(-6). Let v = -126\/6407 - 4\/149. Which is smaller: b or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1631 - 1630.9. Which is the biggest value? (a) -5\/3 (b) 0.08 (c) g (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 30*s. Let b(d) = d. Let t(u) = u. Let g(f) = b(f) + t(f). Give c(g(y)).\nAnswer: 60*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-6)*874\/6118?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -2\/9 (b) -316965 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/12*(-390)\/105)\/1?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((h - 3*h + 0*h)*(0 + 4 - 2) - 3*h + 0*h + h)*(-9*h**3 + 6*h**3 + 2*h**3 - 43).\nAnswer: 6*h**4 + 258*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 6. Let t(p) = -p**3 + 3*p**2 + 3*p - 2. What is the remainder when t(3) is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of 0 - 1\/2*w**3 + 29\/2*w**2 + 39\/10*w**5 + 76*w + 0*w**4. What is the second derivative of y(n) wrt n?\nAnswer: 468*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6585, -6611, -6655, -6717?\n\"Answer: -9*w**2 + w - 6577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -136 * 0.12\nAnswer: -16.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6311 is divided by 5077?\nAnswer: 1234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 633.349 nanometers to millimeters.\nAnswer: 0.000633349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 54701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 5*t - 2. Suppose -5*p = p - 6. Calculate d(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 3)*(3*p - 4*p - p)*(-26 + 15 + 57).\nAnswer: 92*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -236 + 1571. Let l = u - 822. Is 24 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-124)\/8*(-2016)\/(-504)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18)\/45 + 7\/5. Differentiate 11*i**3 - h - i**3 - 4*i**3 with respect to i.\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36.86 - 38. Round f to 1 dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 4*i + 72 + 107, 4*t + 3*i = 792. Is t a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12962*z**3 - 4233*z**3 - 4363*z**3 + 3*z**2 - 4365*z**3 - 3*z**2.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 224*p + 1270. Determine n(-6).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of -o**5\/120 + o**4\/24 + 5*o**3\/6 - 5*o**2. Let t(d) be the first derivative of w(d). Differentiate t(q) wrt q.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4925086.\nAnswer: 2, 2462543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + i = -4*z - 5, 13 = -3*z + 4*i for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 17. Suppose -3 = -i*c - 1. Are c and 2\/13 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -40, -327, -636, -967, -1320, -1695, -2092?\n\"Answer: -11*q**2 - 254*q + 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -1104525323?\nAnswer: 1104525314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a hour in minutes?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 54140 + -14667. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -452441 (base 9) to base 11.\nAnswer: -175520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 69 and 759?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide ((-115)\/25 + 5)\/(3\/2910)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 3*k + 3. Let o be v(0). Suppose -o*u + 53 = -1. Solve 10 = 3*f + 4, -u = 5*b + f for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 divided by 1628.\nAnswer: -75\/1628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-1 - (-2)\/6). Let z = 41 - 38. Solve 0*a + d*a = -z for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -53.052 to 0 dps.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 4, -0.18, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 300 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggurqrs. What is prob of picking 1 u, 2 g, and 1 s?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 2 + 4)*(3 + 12*w - 3*w + 4*w) to the form z + h*w and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 4*t + 1240 = 0, -3*t - 512 - 343 = -2*v. Is v a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338 is divided by 144.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 + -100?\nAnswer: -b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/3 or 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -5*p**3 - 6*p**2 + 6*p**3 + 3 + p**3 - p**3 + 12*p. Determine m, given that k(m) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1))**47*(g\/(g\/(g**(-1\/2)*g*g*g))*g)\/g**(1\/2))\/((g**(-1\/3))**(-2\/21)\/(g**(-1\/2)\/g**1)) assuming g is positive.\nAnswer: g**(-5737\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n**2\/n*n))**(-14))**(-1\/13)\/((n**(2\/5))**(1\/3)*(n**2)**49) assuming n is positive.\nAnswer: n**(-1472\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 33*n - 1982. Give i(60).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -5\/2*y**2 - 2*y**5 - 105 + 15*y - 15*y**3 + 45\/4*y**4. What is a in n(a) = 0?\nAnswer: -1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 789\nAnswer: 3945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*((i\/((i**(-6)\/i)\/i))\/i)\/i*i*i*i**(-3\/20))\/(i**8\/i*i**(-24)) assuming i is positive.\nAnswer: i**(537\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of y**6\/120 + y**5\/60 + y**4\/24 + 173*y**3\/6 + 31*y**2. What are the prime factors of z(0)?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 903 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**4 + 40*r**3 - 52*r**2 - 88*r = 0. What is r?\nAnswer: -11, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 15 = 2*u, 19*u + 20*r = 15*r + 9*r - 195 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(432) + sqrt(432)*-2))**2 + -1.\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence muu when three letters picked without replacement from wucmcwuwwwwu.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - (-4611)\/(-1545)) + -1. Let r = l + 27239\/3605. Find the common denominator of r and -37\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 319419433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6764503 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 888961?\nAnswer: 888961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 115896 divided by 6\nAnswer: 19316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 112 + -35. Suppose 3*h - 372 + 372 = 0. Suppose -8*q - p + 237 = h. Does 4 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4668, 4673, 4678?\n\"Answer: 5*s + 4663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2486 - x**2 + 2486 - 15*x)*(-2*x + 3*x - 2*x) in the form y*x + z + m*x**3 + f*x**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3850 + 4029. Is m even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 3, 46*g - 47*g = y - 5359. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -4*o - 117, -13*z + o = -8*z + 2 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1678657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -5*n**4\/12 - n**2\/2 - 13*n. What is the derivative of v(m) wrt m?\nAnswer: -10*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c3198a (base 16) to base 6.\nAnswer: 1134014414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200)*1)\/sqrt(4))**2.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 156998510*s**2 + 82343235*s.\nAnswer: 313997020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 2*c + 4*w - 76 = 0, 22*w - 20*w = 28 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 2*x)*(-1 - 4125*x - 1219*x + 1428*x) to the form d*x + z*x**2 + y and give z.\nAnswer: -7832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 3*d**2 + 15*d + 23. Let o be i(3). Solve -6 = 2*r - c, 0 = 5*r + 4*c + o + 14 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 4*f + 48 = 0, 6337*f - 33 = -2*h + 6332*f for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9*(10\/15 + 1). Let k be -3 - (-6 + 1) - 32\/w. Which is the nearest to -2? (a) -0.5 (b) -2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 2681328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 747705892.\nAnswer: 2, 47, 3977159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 9*r**2 + 2*r + 3. Calculate z(-9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + 1 + 0)**2*-2*-5.\nAnswer: 180*sqrt(2) + 1630","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3 + a + 0*a + 4. Let q(s) = -40*s + 12. Let f(l) = 17*l - 6. Let v(b) = 7*f(b) + 3*q(b). Calculate 4*k(g) + v(g).\nAnswer: 3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21816915 is divided by 269?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/120 and -76\/15.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oh when two letters picked without replacement from {p: 1, o: 2, j: 5, d: 1, h: 6}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 12. Let t = u + 6. Suppose 0 = -3*q - 15, -2*i + 2*q = -3*q - t. Which is bigger: i or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -897*g + 518 = -13834 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1454, -5, 5, -1, -3, -4.\nAnswer: -5, -4, -3, -1, 5, 1454","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wxg when three letters picked without replacement from {w: 1, o: 2, m: 2, d: 2, x: 1, g: 1}.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 108 + -77. List the prime factors of q.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**2 - 29946*o - 149805 = 0. What is o?\nAnswer: -5, 9987","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 114418801, 114418796, 114418791?\n\"Answer: -5*d + 114418806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 9*z - 1368 = 0. Does 60 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 41536 and -0.32?\nAnswer: -13291.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -339252, -339260, -339280, -339318, -339380?\n\"Answer: -v**3 - v - 339250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*a + 1 = -11*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-1 + 5) - (1 - 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0.2, 5, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10803 - 4074. What is the remainder when d is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 1 = 11. Let a(o) = 0 - 3 - 1 + 5*o. Let f be a(t). Calculate the highest common factor of 4 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (23 - 0) + -79 + 9 + 72?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 9:17 AM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -157*k**3 + 5*k**2 + 2*k - 16. Let a be u(-2). What is the highest common divisor of 785 and a?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 5*l = 2*q - 5, -2*l = -5*q + 31. What is the remainder when 12 is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5133 + -5069. What is the greatest common factor of g and 42?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -419.3 - -419.3. What is the nearest to 0 in -2\/9, s, 1, -3\/13?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x - 23. Let w be d(-11). Put -2, w, 4, -35 in ascending order.\nAnswer: -35, -2, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-6) + (-32)\/(-12). What is the remainder when h\/(-12) + (-267)\/(-12) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79195, 79227, 79261, 79297, 79335, 79375?\nAnswer: 79417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 360530\/(-396583) - (284\/(-22) + -1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -3*i - 5*j, 8*i + 3*j = 3*i - 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 120962 + -1241?\nAnswer: 119721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 755776*v**3 + 3*v + 702990 with respect to v.\nAnswer: 2267328*v**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -606 + 2147. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -128605537.577\nAnswer: -128605536.577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 232, 611, 1236, 2107, 3224?\n\"Answer: 123*s**2 + 10*s + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 259 divide 328057429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 64.2 - -44.8. Let z = 115 - k. What is the smallest value in z, 0.3, -2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1489876 by 372469.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 5*r**2 - 2*r + 6. Let q be g(2). Let m(n) = -20*n**2 - 19*n**2 + 59*n**2 - q*n**2. Let z(t) = -39*t. Calculate m(z(i)).\nAnswer: -3042*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 + 0.1. Sort 2\/17, x, 13.\nAnswer: 2\/17, x, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (269*q**3 + 305*q**3 - 216*q**3 + (-4 + 7 - 2)*(-2*q + 2*q**3 + 2*q))*(-3*q**2 - 2*q**2 + 7*q**2).\nAnswer: 720*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 2*f + 2*f + 4*g, 6 = f + 3*g for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of g**3\/6 - 51*g**2\/2 + 21*g + 202. Let b(k) = 1. Give -b(n) - c(n).\nAnswer: -n + 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z*z**(-4)*z*z)\/z)\/(z\/(z*z**2))*z*((z*z*z*z\/z**0*z)\/z*z)\/z*z\/z**(-4\/5)*z)**(6\/5) assuming z is positive.\nAnswer: z**(264\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 12*d**2 + 14*d - 12. Calculate the least common multiple of q(11) and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of x**6\/120 + x**5\/20 + x**3\/2 + 411*x**2. Let c(p) = p**3 + p**2. Determine -2*c(w) + v(w).\nAnswer: -w**3 + w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40965\/(-8193))\/(1\/11).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64199*z**2 + 0*z - 64178*z**2 + 0*z.\nAnswer: 21*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 3*w + 7. Let x be l(4). Solve q - 4*p = -11, -1 = -3*q - 3*p + x for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-217)\/(-77) - (0 + 3)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.05 and -3484.446?\nAnswer: 174.2223","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 6 = -9*l. Suppose -d - 3*k + 3 = l*d, -5 = 3*d - 5*k. Does 10 divide -10*(-6 + d)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/5 - 694756*i**2\/5 - 120697176749*i\/5 - 8927787000794\/5.\nAnswer: -(i + 74)*(i + 347341)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 5*f = -1, -4*a + 6*f + 7 = 7*f. Solve a*x + 5*m + 16 = 0, -2*x - m = -4*m - 16 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9cbf4 (base 16) in base 9?\nAnswer: -1177633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 6\/2495?\nAnswer: 6\/2495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 280362*h**3 + 22*h**2 - 16460*h wrt h.\nAnswer: 1682172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43.63 - 48.63. Which is the fourth smallest value? (a) 4 (b) 18 (c) 3\/4 (d) 1\/2 (e) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208224?\nAnswer: 2, 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37 and 3367.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 1 - (-80 - -99)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 7:32 PM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xbxb when four letters picked without replacement from {x: 5, b: 9}.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 31240300 (base 6) to base 3\nAnswer: 1201002121000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 26930714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 5. Let a(d) = -d**2 + 4*d - 10. Let j(t) = t**2 - 3*t + 9. Let b(p) = 3*a(p) + 4*j(p). Let n(f) = -5*b(f) + 6*q(f). Let w(y) = 3*y. What is w(n(o))?\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/((-6)\/4) - -9. Let k(s) = -2 - 2*s**3 - s + 13*s**2 - 14*s**2 - s. Let n be k(-2). What is the greatest common factor of i and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r**28\/r*r)*r*r*r*r*r*r**(-14)*(r**11)**35)**36 assuming r is positive.\nAnswer: r**12600","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xfbf when four letters picked without replacement from bxfbbfb?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -38663, -39035, -39405, -39773, -40139?\n\"Answer: p**2 - 375*p - 38289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, p: 5, v: 6}. Give prob of picking 1 p and 2 v.\nAnswer: 75\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 226 - 221. Let q(f) = 4*f**2 + g*f**3 - 785 - 7*f + 781 - 4*f**3. Determine q(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1836) + (sqrt(153)\/sqrt(3) - sqrt(51))*-5)\/((-3*3*sqrt(33))\/sqrt(11)).\nAnswer: -2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 63*11\/143 - 8\/(-52). Solve 5*c = 3*z + 4, -s*c - z = -7*c + 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 559373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43135.\nAnswer: 5, 8627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 77580476 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 o when two letters picked without replacement from tttotmlo.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.08571ml to litres.\nAnswer: 0.02808571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 j when four letters picked without replacement from {j: 2, s: 11}?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvddvvvdvvv. Give prob of sequence vdd.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -352 - -352.5. What is the third biggest value in 3, -2.5, d?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 281 - 126. What is the remainder when y is divided by 27?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 48b + 48016?\nAnswer: 484a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -u**6\/120 - u**5\/12 + u**4\/6 + 5*u**3\/2 + 63*u**2 - 16. Let q(f) be the second derivative of l(f). Determine q(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*b + 30 - 30)*(0 + 0 + 6)*(2*b - 4*b + 0*b)*(0 + 0 + 2*b) in the form u*b**2 + j*b + p*b**3 + z and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -7\/6, -5, -0.1, 3\/4?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - t**2 + 25*t + 65. Calculate f(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/9, 46, -3006?\nAnswer: -3006","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + l**2 - 2*l + 2 + 2 + (2*l + 2*l - 3*l)*(0 + 2*l + 0) - 1 - l**2 + 1.\nAnswer: 2*l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141396 is divided by 23.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 3 - -1 - (-5 - -13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -334794 + 14*k**4 + 10*k**4 + 334795 - k - 4*k**3 + 3*k**2 to s + h*k + j*k**4 + g*k**2 + c*k**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -93 + 281. Suppose j + 3*j - a = 0. Let m = j - 27. Solve -z - 4*z = -5*d + m, z + 4*d - 6 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 328 = 288. Put 2, 11, z in decreasing order.\nAnswer: 11, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1)*(3*p - 3*p - 2*p) + 0 - 2*p + 0 - 7*p + 3*p + p + (-2*p + 3 - 3)*((-1 + 0 + 2)*(-1 + 4 + 3) - 4 + 1 + 2).\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 17921*v + 358497. Calculate l(-20).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 231\/(-14)*(2 - 16\/12). Put m, -3, 2, 1 in ascending order.\nAnswer: m, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25255883 is divided by 8418611?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*h + 55*h + 598 = -53*h. Let l(c) = 11*c - 290. Calculate l(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -407106?\nAnswer: 2\/203553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, p: 2, j: 1, v: 4, k: 2, i: 1}. Give prob of sequence ivk.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 96188 to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 96*x. Let m(k) be the third derivative of -k**6\/90 + 95*k**3\/6 + 261*k**2 - 2*k. Let i(y) be the first derivative of m(y). Calculate u(i(p)).\nAnswer: -384*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -332 + 327. What is the second biggest value in d, 0.2, 20?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 2:32 AM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 258*k**3 - 40*k**2 + 256*k - 4. Let z(w) = 259*w**3 - 30*w**2 + 257*w - 3. Let n(q) = 3*o(q) - 4*z(q). Find the second derivative of n(j) wrt j.\nAnswer: -1572*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 168 - 144 = 0. Let c(w) be the second derivative of -o*w + 11\/51*w**3 + 0 - 3\/17*w**2 + 2\/51*w**4. Factor c(j).\nAnswer: 2*(j + 3)*(4*j - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -g**4\/12 + 4*g**3\/3 - 3*g. Let c be f(8). What is the smallest value in c, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1368*z + 685*z + z**3 + 691*z)*(z**2 + 0*z**2 - 2*z**2).\nAnswer: -z**5 - 8*z**3 - 5*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -676*n = -674*n - 2*b + 6, 0 = 52*n - 5*b + 250 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 100 + 88 = 0. Solve a = q - 1 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*a = 65*a - 45. Let f be 4 + -1 - (2 + a\/(-9)). Solve -f*z = 5 + 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 23 = 3*b - h, -5*b + 4*h = -41. Suppose b*y = 362 + 193. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 - -0.1. Suppose 0 = 321*p + 743 + 454 - 234. What is the nearest to -0.2 in 2\/11, p, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4410 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence deb when three letters picked without replacement from {d: 1, e: 2, b: 4, j: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 34.\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 29692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than -1225103?\nAnswer: -1225103.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.60372 and 54\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 325955145.\nAnswer: 3, 5, 2411, 9013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -681508, -1363020, -2044542, -2726080, -3407640, -4089228?\nAnswer: -4770850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(-3*sqrt(11)*2) + 1 - ((sqrt(45)\/sqrt(5))\/sqrt(3) + sqrt(243) + sqrt(243) + -2 + sqrt(243)))*-5.\nAnswer: -15 + 845*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o + 5*m + 15, -o - 3*m = o - 11 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -28816 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.2 (b) 19 (c) 0.3 (d) -5820\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 378786 rounded to the nearest 10000?\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23976?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4\/75 + 7\/150. What is the nearest to n in 0.4, -0.4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -10) + 0 + -1 + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29159 - 30358. Which is greater: -1202 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/3428000 and -71\/368852800?\nAnswer: 1844264000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 39286 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 26*s + 16 - 3*s - 3 - s**3 - 9*s**2. Let h be i(-11). Is 4 greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 j, and 1 w when three letters picked without replacement from {w: 2, j: 9, x: 6}?\nAnswer: 27\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4919.77 centuries?\nAnswer: 5903724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-6)*((-30)\/8)\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -125*t**2 - 186 + 299 - 117*t**2 - 113 + 248*t**2. Let c(l) be the first derivative of -l**3\/3 + 4*l - 1. Calculate m(c(p)).\nAnswer: 6*p**4 - 48*p**2 + 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104 + 105 + 109 - 13227*o - 318.\nAnswer: -13227*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (18\/12)\/(6\/40). Let g(h) = h**2 - 10*h + 7. Let l be g(w). Suppose 2*b + 41 = 167. Calculate the highest common divisor of l and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-27)\/36 + (-12)\/(-16). Suppose 6*r + 3*r - 90 = z. Solve 4*f = 2 - r for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 less than -1\/320?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 785778 divided by -56127\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of 1\/6*x**4 - 13\/6*x**3 + 0*x**2 + 3*x + 0. What is the second derivative of q(f) wrt f?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 17 (b) -1 (c) -55 (d) 0 (e) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 m when two letters picked without replacement from {m: 5, i: 2}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o - 3*o - 12*o + o + 1 - 1 + (-2 + 2 - 1)*(-o + 0 + 0) + o + 5*o - 4*o + 0*o - 3*o + 2*o.\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*z - 125. Suppose -z = -0*k - k. Suppose 4*t - k = 34. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -3*f + 140681, -74188 - 66490 = -3*f - 2*l. What is the thousands digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of 29*m**7\/30 + 583*m**3\/6 - 653*m**2. What is the derivative of x(p) wrt p?\nAnswer: 812*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (7 - 29) + 10 + 4 + 45 - 0.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**20*k*k*k**22*(k**(-1))**1 assuming k is positive.\nAnswer: k**43","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 11*o**2. Let x(j) = -j. Let d(l) = -11*l**2 - 2*l. Let u be 0 + -3 + 2 - 1. Let s(v) = u*x(v) + d(v). What is h(s(q))?\nAnswer: 1331*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8209094 is divided by 530.\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 6:56 PM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -917 (b) -1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3 + 0. Let c be ((-6)\/(-15))\/(3\/(-45)). Let k be ((-9)\/(-15))\/(c\/4). What is the closest to k in 1, -2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3242 rounded to 2 dps?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-25)\/30 - 0 - 1136\/(-96). Suppose -2286 = -3*j + 3*w, -4*j + 2218 = 4*w - 806. Calculate the greatest common factor of j and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -438 - -627. Let n(x) = 593*x - 17089. Let p be n(29). Calculate the greatest common divisor of d and p.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)\/sqrt(125) + (2 + sqrt(68))**2)*-3*5*-4.\nAnswer: 492*sqrt(17) + 4320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6}. Give prob of sequence iiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 4*q - 9. Let r = -13 + q. What is the closest to 2 in -1\/4, 1, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -4. Suppose 4*r = -2*w - 14, -6 = 5*r - w + 8. Let h be (2 + (2 - 3))\/(-2). Which is the closest to 1\/4? (a) g (b) h (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + -1 + (-18)\/(-9). Suppose 0 = -r - p*r + 15. Let t(q) = -r*q - 2 + 2 + 0*q + 4. Let w(i) = 3*i - 3. Give -3*t(a) - 4*w(a).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 5*f + 272. Let o(c) = -7*c - 270. What is -2*o(p) - 3*w(p)?\nAnswer: -p - 276","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 34*(810\/60)\/(-27)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (27\/(-18))\/(2\/(-4)). Suppose d*o = o - t + 236, 3*o = -3*t + 351. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3\/2 + 167775*n**2\/2 - 671028*n + 1342008.\nAnswer: -3*(n - 55917)*(n - 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 126499519, -1, -0.5 in decreasing order.\nAnswer: 126499519, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p. Let z(s) = -414*s. Give y(z(n)).\nAnswer: -414*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 169\/270 and -109\/42?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 13*h**2 - 46*h + 10. Determine d(3).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/32, 0.1, -1\/2, -10, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-9)\/(-12))\/((-6)\/(-20)). Let h = 124\/3 - 41. Let m = 17.4 + -16.9. Which is the second biggest value? (a) m (b) h (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 - 61 = -4*n. Suppose -d - 4*d = -n. Let t be 0\/(2 + (2 - 1)). Which is the second smallest value? (a) t (b) d (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1879240.4163+21\nAnswer: -1879219.4163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - 25 - -41 - 23.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (3 + (-3872)\/962). Let q = -29786\/1443 - d. Calculate the common denominator of 15\/2 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 54.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + 41*s + 150. Give g(-38).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16339924 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45 + 47. What is the fourth biggest value in -21, -3, w, -4?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*l + 6*l + 0*l)*(-1 - 1 + 4) + 689 - 689 + 11*l)*(-3*l + 3*l - 2*l) + (4 - 5 + 0)*(-1 + 1 + 2*l**2).\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 2*t + 2*l + 10, -5 = -5*l. Find a such that 10*a**2 + 2*a**5 + 10*a**4 + 2*a**4 - 8*a**3 + t*a**3 - 22*a**4 = 0.\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 820.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3)*w*(w\/w**1*w)\/w*w)\/(w**(-1\/5)*((w*w*((((w**8*w)\/w)\/w)\/w)\/w*w)\/w)\/w) assuming w is positive.\nAnswer: w**(-34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3614 + -2454. Let t = -632 + y. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/5 (b) -0.1 (c) 80\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-5 - 3 - -5) + 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 11*r**2 + 10. What is the remainder when 27 is divided by p(11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) - (2*sqrt(80) + sqrt(80))*-4) + sqrt(80))**2.\nAnswer: 15680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 343278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(2\/43)\/(v*v\/v**(-3)*v*v) assuming v is positive.\nAnswer: v**(-299\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2112111011 (base 3) to base 15\nAnswer: ebd7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 27*(-1 + (4 - 1)). Let g be ((-36)\/b)\/((-2)\/(-309)). Let n = g + 146. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 60*o**3 - 325*o**2 + 315*o + 100 = 0?\nAnswer: -1\/4, 5\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -76, -16, -2\/63, 112, 0.1 in descending order.\nAnswer: 112, 0.1, -2\/63, -16, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 496986 and 74130.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -0*o. Suppose n + 5 = o, 5*l - n + 2*n = 0. Factor -56*s - s**2 + 56*s + l.\nAnswer: -(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 9:43 PM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 77 = 28. Let h = -17 - s. Suppose -3*d = h*c - 206, 6*d = 3*c + d - 169. What are the prime factors of c?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/3079 and 47\/5?\nAnswer: 15395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*c - 2*c. Let f(t) = t**2 - 2. Calculate the remainder when (-4 + 3 - -7) + -1 is divided by f(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 183 - 137. Let z = 56 - t. What is the highest common divisor of 220 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 + 71. Let q = g + -10. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 7*j**2 + 4*j - 5. Let l be 28\/16 + (-2)\/(-8). Let f(c) = -2*c**2 + 3*c**2 + 3*c + 7*c**l - 4 - 2*c**2. Calculate -6*f(h) + 5*s(h).\nAnswer: -h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 1:46 AM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1224*88.\nAnswer: -107712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1)\/a)**(1\/11)\/((a\/(a*a**(-1)))\/(a**2\/a)))\/((a**(1\/2))**(-7\/6)\/(a**(-1\/7)\/a**(4\/5))) assuming a is positive.\nAnswer: a**(-2501\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2*a + 950 = 0. Let m(y) = -14*y**2 - y - 1. Let p be m(3). Let t = a + p. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1779 and 36472?\nAnswer: 6488.3688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 5 + 0 + 2 + (-1 + -1*sqrt(1053))*-2)**2.\nAnswer: 396*sqrt(13) + 4333","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 259060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, 1\/10, 0.3, 175, 0?\nAnswer: 175","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -385*t + 37774 = 35464 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 9*r**2 + 11*r - 20. Let v(f) = -3*f**2 - 4*f + 7. Suppose 35 = 3*x + 2. Let j(i) = x*v(i) + 4*u(i). What is the first derivative of j(y) wrt y?\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/(-4))\/((-27)\/216). Let j(a) be the third derivative of a**4\/12 - 10*a**3\/3 - 9*a**2. Let n be j(u). Is n greater than -51\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -552*p + 546*p + 6 = 0. Suppose 0 = b - 0 + 2. Let o = 46\/231 - 8\/21. What is the closest to p in 3, o, b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.54 - 1.6347. Let k = t - -0.121. What is k rounded to 3 dps?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 4. Let a = 36 - p. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 11 = -2*x + 18, -4*x - 3*c = 7. Suppose -2*d + 5*d - 18 = 0. Solve x*l - 4*w - 13 = -l, d = -2*l - w for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (14\/8)\/(2\/16). Suppose z*k = 10*k - 28. Let y(s) = -s. Determine y(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2838133515.\nAnswer: 3, 5, 7, 43, 193, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - a32a8ba?\nAnswer: -a32a900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15965 is divided by 3193.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 445654896?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b**3 - 7*b**2 + 5*b + 3. Let z(t) = t**3 + t**2 - t. Give g(p) + 5*z(p).\nAnswer: 2*p**3 - 2*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 12*c - 9. Suppose -1 = r, 4*m - 4*r + 8*r = -44. Give w(m).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/(sqrt(1440)*2).\nAnswer: sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1645\/2 - -828. Let r*y**3 + 2*y + 4\/3 - 23\/3*y**2 - 7\/6*y**4 = 0. What is y?\nAnswer: -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 938781638, 938781639, 938781640?\nAnswer: 938781641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -0.09.\nAnswer: -0.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 85859100 to the nearest integer?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/328 and 25\/6?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 290 divide 366738930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 7*u**2 + 9*u - 9. Let s be g(7). Let d = 58 - s. Suppose -d*k + k - 5*i = -20, -k + 5*i = 20. Solve k = 2*j - 6 - 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3\/2 + 69*o**2\/2 + 11064*o + 21978.\nAnswer: -3*(o - 99)*(o + 2)*(o + 74)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**2 + 68005*j - 544161. What is o(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 4*v = 82, -u + 192 = -5*v + 193. Let n(x) = -4*x - 7. Let s(a) = a + 2. What is u*s(i) + 4*n(i)?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 - 7 = -2*o + 2*a, -2*a - 14 = 5*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2986*n - 11968. What is o(-4)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278*d + 274*d = -5*h - 28, 5*d - 4*h = 26 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 22 = p + 5*n, 2*p - 6 = n. Suppose -20 = -5*u + 4*f, 5*u - 9 = f - p. Solve 2*w + w - 1 = s, s + 2*w - 9 = u for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6.2 in 1\/2, -0.4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.2 - -4. Let u = -0.16 - -0.16. What is the smallest value in -1\/3, v, -3, u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8443460*g**3 + 520*g**2 - 6903*g?\nAnswer: 50660760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-76)\/8*8\/(-38))\/(-8). Let s be (-6)\/4 - (-6 + 3). Which is the closest to -2? (a) h (b) 2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5 + 0.1. Let c = 33\/4154 + 24561\/45694. What is the closest to o in -3, c, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36.3 - -36.29999783. What is o rounded to 7 dps?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -6*k**2 - 7*k + 7. Let d(n) = 5*n**2 + 6*n - 6. Let u(l) = 7*d(l) + 6*f(l). Let a(s) = -46*s + 258870 - 258870. Give a(u(z)).\nAnswer: 46*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 3*u**2 + u - 5. Determine o(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101574144.\nAnswer: 2, 3, 7, 47, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23747?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 2*m - 12899, -5*m - 14*b = -16*b - 32243. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191 = 42*v + 779 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (158 - 127) + (3 - (0 - -13)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 0 + 0)*(-22 + 43 + 5) - 3 + 2 - u - 2.\nAnswer: -53*u - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133606824.\nAnswer: 2, 3, 13, 428227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 7120 = 7*r. Let p = -4 + 9. Suppose -r = -p*m + 365. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/5 + 26315918*u\/5 + 173131885045681\/5.\nAnswer: (u + 13157959)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n + 9. What is t(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 583*b - 778*b - 116*b - 1207*b in the form t*b + d and give t.\nAnswer: -1518","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 239 + -160. Suppose -2*j = -c + 26, -2*c + 3*j = 8*j - l. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-4*(-1 + sqrt(1053)) - ((sqrt(130) + (sqrt(130) - sqrt(130)*-1))*-3)\/(-1*sqrt(640)).\nAnswer: -16 + 1143*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one eighths of a centimeter?\nAnswer: 26250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4102038911 to the nearest integer?\nAnswer: 1601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3077, -2891, -2575, -2123, -1529, -787?\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -3*r**7\/14 + r**5\/30 + 5*r**3\/6 + r**2 - 26*r. Find the third derivative of c(f) wrt f.\nAnswer: -1080*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23499 = 4*j - i - 34581, -29062 = -2*j - 5*i. What is the ten thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*q**3 - 1485*q**2 - 81760*q + 646800 = 0. What is q?\nAnswer: -220, -84, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.199439ml in litres?\nAnswer: 0.001199439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 8 and -3\/5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 - 441 = -5*h. What is the second derivative of -65*v**4 + 2*v + 6*v + h*v**4 wrt v?\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-11)*(-100)\/((-5200)\/(-234))\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16180 + 16182. Let k(v) be the second derivative of v + 2\/3*v**3 - 1\/6*v**4 + 0*v**f - 1\/10*v**5 + 0. Suppose k(b) = 0. Calculate b.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.1 - -4.09978. Round w to 5 dps.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -24, -30, -36, -42, -48?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.117 + 0.017. Which is the nearest to -2? (a) -2 (b) q (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -3*w**5\/20 + 3*w**3\/2 - 3*w**2 - 86*w + 69. Let o(b) be the first derivative of s(b). Factor o(r).\nAnswer: -3*(r - 1)**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39038 is divided by 31939.\nAnswer: 7099","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -180.32551 to 1 decimal place.\nAnswer: -180.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -78887, -78874, -78847, -78800, -78727, -78622?\n\"Answer: d**3 + d**2 + 3*d - 78892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/3)\/(((-66)\/6)\/11).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a + 8*a**2 - 2*a**2 - a**2 - a**3 - 3. Let v be o(5). Suppose -3*x = -7 - v. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19192.\nAnswer: 2, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a - 1. Suppose 4*t - 114 - 6 = 0. Let y = 35 - t. Calculate b(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xzw when three letters picked without replacement from wiwwiiiiwwzwiwwixwpx.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 3 + 5. Put -1, z, -3 in descending order.\nAnswer: -1, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 e when two letters picked without replacement from {k: 1, d: 2, e: 1, t: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 35957953 to the power of 1\/4, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/l**(-6))\/l)\/l)\/(l*l\/(l**(-3)\/l)))\/((l\/(((l**1*l)\/l)\/l))\/l*l*l)**25 assuming l is positive.\nAnswer: l**(-51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 154, -1, 216 in increasing order.\nAnswer: -6, -1, 154, 216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20337 is divided by 194?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by -1656\nAnswer: -11\/1656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -612 - -5865.\nAnswer: 5253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140 - 48 + 7*x - 20 - 17 - 21 - 35.\nAnswer: 7*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -25, -77, -153, -247, -353, -465, -577?\n\"Answer: c**3 - 18*c**2 - 5*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 27 + 20362?\nAnswer: 20411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 - -53. Calculate the greatest common divisor of 24 and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 5, 1, 0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/4 of a hour?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2221.785627 rounded to the nearest integer?\nAnswer: 2222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -h - 3*h - 35, 4*h = 5*i - 47. Let u(p) = 9*p - 7. Let x be u(h). Let t = -46 - x. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + (2 - 1)*-9. Let d be ((-38)\/r)\/(4\/24). Round d to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -1842.6.\nAnswer: -3685.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8878381 kilograms in grams?\nAnswer: 887.8381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 412, 825, 1238, 1651?\nAnswer: 2064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3241089431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence end when three letters picked without replacement from {n: 2, r: 4, d: 7, y: 3, e: 1}?\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 76\/28 - (-4)\/14. Suppose 0 = 4*q + 4 + 4. Let i = 0.3 - 0.5. What is the nearest to -1 in h, q, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -6*s + 4. Let j(g) = 7*g - 4. Let p(n) = -5*j(n) - 6*l(n). Let c be p(5). Put -3, 5, c in descending order.\nAnswer: 5, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3133 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -24 and -6372.8466657.\nAnswer: -6396.8466657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -349*v**3 - 6*v**2 + 5*v. Let g(q) = -353*q**3 - 5*q**2 + 4*q. Give 5*g(l) - 4*t(l).\nAnswer: -369*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 908?\nAnswer: 1\/454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38 + (-5 - 7) + 26?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8\/11, -2\/5, 18?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24467.59778 rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -3\/10, -3\/7, 1.5, 0.4?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-36)\/(-10) - 4\/(-10). Suppose -2*v = -l - 3 + 6, -5*l = u*v + 27. Let z(i) = i**3 - 17*i**2 - 16*i - 37. Let c be z(18). Is c greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(((-10)\/(-4))\/(-5))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/7 + 54172*c\/7 + 733651396\/7.\nAnswer: (c + 27086)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*h = -6*h + 184, -3*h + 282 = -3*p. List the prime factors of ((-22)\/(-4))\/((-7)\/p).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 0*r = 0. Suppose 10*c + r*c = 2*c. Which is greater: c or -5\/44?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 43 = -0*o + 2*o, 5*o = -4*j + 25. Let l be 0\/(1\/(2\/(-4))). Let c = o + l. Calculate the greatest common factor of c and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 945783.\nAnswer: 3, 23, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2. Let k(w) = 6*w**2 + 38*w + 136. Let f(h) = -k(h) - 5*u(h). Let z be f(-32). What is the greatest common divisor of z and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 2*d - d + 19 - 3.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1407.\nAnswer: 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 0 + 0 + -58 - (-5166 - -5161)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.09 - 0.09. Sort 0.3, b, 4 in increasing order.\nAnswer: 0.3, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h - 54 - 336 = 0. What is the remainder when 118 is divided by h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53561.13kg in nanograms?\nAnswer: 53561130000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 98 + -231 + 210?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 15. Solve -h + s = 4*a - 3, -a + 23 = -4*h for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2873811 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 + 66*q - 14 - 139*q + 71*q)*(10 + 4 + 0).\nAnswer: 14*q**2 - 28*q - 196","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 92, 84, 82, 86, 96?\n\"Answer: 3*b**2 - 17*b + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*c + 7. Let n(j) = j**2 - 3*j - 3. Let k be n(c). Suppose -17 = -12*s + 11*s - 4*g, -2*s + g - 2 = 0. Sort k, 0, s.\nAnswer: k, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98 - 225 = -30*i + 67 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 0*g - 5*f - 12, 2*f = 3*g - 12. Suppose -g*t = -t - 102. Let r = t - 11. List the prime factors of r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101122102121212 + -120?\nAnswer: 101122102121022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s = -20*s - 195. Let h(m) = -m**3 - 39*m**2 + 4*m + 159. Let w be h(s). Solve c + 15 = -2*v + w, -3*c + 4*v = -14 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = k - s + 23, 3*k - 5*s - 16 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14243780 (base 9) in base 8?\nAnswer: 32725035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 44*j - 441. What is i(-7)?\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58\/219 - 335\/438. Suppose 5 + 0 = -5*w. Let v be (-2 - 0)*w\/21. Which is the smallest value? (a) v (b) 0.02 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 271318674\nAnswer: -1\/135659337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 6*f - 2*f**2 - 2*f**2 + f. Let m be n(5). Suppose -3*a + s = -2 - 2, -5*a - 20 = 5*s. Solve a = 3*x - m - 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -5*n. Let m(g) = -2*g**2 - 5*g - 5. Let u be (-2 + 4 - 9) + 11 + -9. Let x(k) = -3*k**2 - 8*k - 8. Let s(b) = u*x(b) + 8*m(b). Determine s(a(h)).\nAnswer: -25*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, 0.5, 0.8, 4407, 0.05, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -146 or -881\/6?\nAnswer: -881\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4\/161 + 65\/161. Let v = 26.6 - 27. Which is the second biggest value? (a) o (b) -4 (c) 0.2 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00298263232 rounded to five decimal places?\nAnswer: -0.00298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2. Let h(w) = 11*w**2 + 2*w + 4. Let p(d) = -22*d**2 - 5*d - 9. Suppose 10*r = r - 18. Let f(o) = r*p(o) - 5*h(o). Give f(b(m)).\nAnswer: -44*m**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/32 of a kilogram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2110)\/22)\/(4\/(-36)). Let y = 866 - b. Let g = -6502\/9 - -718. What is the common denominator of g and y?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 2*l + 5. What is x(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3 - 19562*f**2 + 48019278*f - 905318118.\nAnswer: 2*(f - 4881)**2*(f - 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a meter in millimeters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -444 > -475?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 17839.\nAnswer: 160551","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -60*r**5 + 1096*r**4 - 25305*r**3\/4 + 10152*r**2 + 30643*r\/4 + 2355\/2 = 0.\nAnswer: -1\/3, -1\/4, 5, 6, 157\/20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 4*g + 106, -5*a - 6*g = -2*g + 251. Which is smaller: -49 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41.844 times 35.5\nAnswer: -1485.462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrqrrrrrrrqrr. What is prob of sequence rqrq?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 97 + 33 = 5*r - 16, 0 = r + 9 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 - 31 + 56 + 609*u**3.\nAnswer: 609*u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1177*d + 20226 = 6751 - 41344 - 500 for d.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4803 (b) -1\/2 (c) -1632.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(57\/(-95)*(-10)\/6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -2*s**2\/9 + 4*s\/9 + 640\/3 = 0.\nAnswer: -30, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8.68 and 5.\nAnswer: 13.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 151792?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.51*-1006360.\nAnswer: -513243.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3079*h**2. Let z(d) = -d. What is z(a(l))?\nAnswer: 3079*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -11*y - 138. What is w(-12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 11:52 AM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2211883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2848*u**6 - 10*u**5 - 3*u**4 - 9*u**2 - 43124.\nAnswer: 341760*u**3 - 600*u**2 - 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-286)\/(-2860))\/(1\/(-36))*((-117)\/26)\/9?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30774685?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of m**5\/20 + 7*m**4\/3 - 34*m**3 - 3045*m. Factor h(j).\nAnswer: j*(j - 6)*(j + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 5 + 3*w + 0*w**2 - 5 + 6*w. Let p be j(7). Let x be (-3)\/6*(-8)\/12. Which is the nearest to -0.1? (a) p (b) -8 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s - 2. Let a be n(2). Suppose 0 = -3*l + a*v - 12, -4 = -l - v - 1. Suppose -3*i = -2*i + 2*y - 8, l = y - 3. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4176 + 2656628.\nAnswer: 2660804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 16\/24)*(-1395)\/(-2170)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 5 = -4*u. Suppose 2*a + a = 4*h + 121, -97 = 4*h + u*a. Let g = h - -46. Is 7 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*k**4\/2 + 843015*k**3 + 5364957*k**2\/2 + 459855*k = 0. What is k?\nAnswer: -3, -2\/11, 0, 51095","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 3)*((25*r - 14*r - 23*r)*(-1 - 3 + 0) + 0*r + 0*r - 8*r - 5*r + 0*r + 0*r).\nAnswer: 105*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*(5 - 6 + 0)*((0 - 5 + 3)*(-3 - 3 + 5) + 566 - 238 - 233)*(15 - 15 - 5*x**3).\nAnswer: 485*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 17*w - 3. Let h be u(4). Let s = -4876\/3 + 1561. Let v = s + h. Which is the third smallest value? (a) -1 (b) -5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 493664 and 10064?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1092 and 22?\nAnswer: 12012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**2 + 5*h + 4. Let o(m) = 3*m**2 + 6*m + 5. Suppose -4*w + 0*w = 4*f + 32, -4*f + 13 = -5*w. Let k = 8 - 4. Give f*o(s) + k*d(s).\nAnswer: -s**2 + 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - s = 4*s + 35, -s - 23 = 4*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -398, -410, -422?\nAnswer: -434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -409*l**3*s + 2*l**2*s - l**2 + 61*l + 25*s + 2 wrt l.\nAnswer: -2454*l*s + 4*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*w - 3. Let r(q) = -4*q + 4 - q**w - 2 + 5*q**2. Is r(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {e: 2, x: 2, s: 8, m: 1}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -146448 (base 9) to base 6\nAnswer: -1532455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10 + (-2688)\/273 + (-921057)\/(-39)?\nAnswer: 11, 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -20. Let p(j) = -j - 1. Let v be p(k). Solve v*s - 6*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3 + 3 = 0. Differentiate -11*i**4 - 203*i**2 - 4 + 203*i**k - 5 with respect to i.\nAnswer: -44*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21610029?\nAnswer: 3, 7, 21001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/3 (b) -199 (c) -0.13 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 8, b: 1, s: 4}. Give prob of picking 2 j.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - 23)\/(-17 + 28).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 652 and 652 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6285820637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 26*b + 123. Let g be o(5). Let v = g + -86. List the prime factors of v.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -220*l - 3017. Calculate y(-14).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 8*x**2 - 3*x - 10. Suppose -3*y - 15 - 9 = 0. What is the remainder when 68 is divided by r(y)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of -p**5\/25 - p**4\/5 + 29*p**3\/15 - 12*p**2\/5 - 309. Factor x(h).\nAnswer: -h*(h - 3)*(h - 1)*(h + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**3 + 6*i**2 - 5*i + 5. Let g(p) = 3*p**3 + 6*p**2 - 5*p + 6. Let o(l) = -3*g(l) + 4*u(l). What is the units digit of o(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6, f: 1, l: 4, s: 2, n: 3}. What is prob of sequence lnc?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -208*y**2\/3 + 228*y.\nAnswer: -4*y*(52*y - 171)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 2*d + 34, x + 54 = 5*x + 3*d. Does 11 divide ((-138)\/x)\/((-4)\/140)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - f**3 - 1)*(0 - 2 + 0)*(-9*f - 132*f - 43*f) to v*f**4 + g*f**3 + h*f + x + y*f**2 and give v.\nAnswer: -368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -903 (base 10) to base 15\nAnswer: -403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 1\/1990758 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4186*n - 2*i = -4184*n - 24, -10*n - i = -48 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = b + b + 4, -2*b = 2*o - 8. Suppose 2*y + b = 4*v, -y = -v - 2*v + 1. Solve v*u = -u + 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1140 divided by -285.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k = -9*k. Suppose 10*x + k*x - 750 = 0. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of t**3\/2 + 9*t - 7. Let l(i) = 21*i**2. Give q(l(f)).\nAnswer: 63*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 321 - 322.37. Round w to 1 dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 7*g**2 + 5*g + 2. Let y be s(-4). Find the third derivative of -5*h**4 + 21*h**2 - 15*h**2 + y*h**2 + 0*h**4 wrt h.\nAnswer: -120*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -31 + -25253?\nAnswer: -25314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11333 (base 4) to base 16.\nAnswer: 17f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110 (base 3) in base 5?\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-6))**(1\/2) assuming w is positive.\nAnswer: w**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/18 and -13\/172?\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.89 and 195.8214.\nAnswer: -761.745246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 340 divide 1559240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 h when two letters picked without replacement from vhelllehnenvhu?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -213\/80 - -49\/16. Is -115 at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 342 = 3*t + 54. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m + 744156. Suppose -3*k + 3*i + 6 = 0, -3*k - 1 - 1 = i. Let v be f(k). Suppose -315844 = -2*p + v. What is p rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39 - -41. Solve 0*q - x*q = -6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + a - 36. Determine t(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**3 + 10*x**2 - 249*x + 713. Determine o(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 28239*h - 423559. Calculate m(15).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 310*w**2 - 4*w + 18. Let q(r) = -929*r**2 + 11*r - 52. Let b(x) = -4*q(x) - 11*z(x). What is the units digit of b(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -611*s = -625*s + 42. Let r(t) = 4*t**2 + 2 - 9 - 3*t**2. Let x be r(s). Solve 2*u - 2 = h - 8, x*h + 23 = -3*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (180\/25)\/((-42)\/(-40)) + -7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -196 - -207 - (20 + -8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 14*q**2 - 3*q - 3. Let m be o(-14). Suppose -2*x + 3*z - 59 = 0, -5*z + 4*z + 3 = 0. Let c = x + m. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11885 + 11884. Which is the closest to 1\/2? (a) t (b) 16 (c) 1\/54 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -327 + -283. Round j to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/(-12))\/(2\/(-72)). Suppose 14*z - b = 17*z. What is the units digit of (-39)\/(-2) - (-4)\/z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 + 86800\/(-2300) + -5 + 0.\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 603 and 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26269 and 241.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 692*0.1.\nAnswer: 69.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - 1. Let h(w) = -w**2 + w - 2. Let k(v) = -2*v**2 + 2*v - 5. Let y(c) = -5*h(c) + 2*k(c). Let d(m) = 6*p(m) - 3*y(m). Solve d(g) = 0 for g.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/3879470 and 129\/70.\nAnswer: 3879470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 322447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/1792 and -73\/8?\nAnswer: 1792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2023498308?\nAnswer: 2, 3, 13, 12971143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(2\/5)*n)**(-31)*(n\/((n**(-3)\/n)\/n))\/(n**(-4)*n))**(30\/13) assuming n is positive.\nAnswer: n**(-1218\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, m: 2, s: 1, z: 1, f: 1, i: 2}. Give prob of picking 1 m and 1 z.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c - 3*c + 5*c + 2. Let g = -25738 + 25740. Determine x(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*p + 2778*p**3 - 114*p - 5554*p**3 + 2754*p**3.\nAnswer: -22*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d - 9, 0*d - 2*d + 26 = 4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yuelluhulluuulh. What is prob of picking 2 l?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2340235390 rounded to the nearest 100000?\nAnswer: 2340200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 0. Is 7 + (3 - d) - 1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9574825 by 5525.\nAnswer: 1733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (51\/34)\/((-18)\/(-4)*(-6)\/(-900))*-1?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/20 - (-3536)\/10. Let k = -325 + w. Calculate the remainder when 55 is divided by k.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + x - 4*d + 3, 4*d - 8 = 0. Let y(g) = -2*g**2 + 10*g - 5. Let u be y(x). List the prime factors of 7*(20\/(-14))\/u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - 0\/(-1) - -7. Suppose -3*d + 20 = 5. Find the first derivative of -3 + d*p**4 + 5 - j*p**4 wrt p.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppp. What is prob of sequence ppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/10 (b) 2\/51 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.59781l in millilitres?\nAnswer: 10597.81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 813893 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10562?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - v + 25. Let m(a) = a**2 - 5*a - 6. Let l be m(6). List the prime factors of q(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3 + sqrt(2299)*-1 + -5 + -1*(sqrt(2299) + (3*sqrt(2299) - sqrt(2299))**2 + sqrt(2299)) + 2*(sqrt(2299) + -1).\nAnswer: -9195 - 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 - 2*v - 7*v + 0*v**2)*(-7 - v**2 + 3*v + 7).\nAnswer: 2*v**4 + 3*v**3 - 27*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - x + 62 = 0, -3*x = 4*c - 6*x - 124. List the prime factors of c.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -100 + 105. Suppose -10 = -2*y + 2*x + 8, -y + v*x + 29 = 0. Solve 2*i = y*u - 2*i + 12, -i = -3*u - 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 24 = -4*c, 0*c - 5 = c. Let i be (-1)\/((-2 - u)\/9). Suppose -3*g = -0*g - 9. What is the greatest common divisor of i and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*(-40)\/(-5)*1960\/2940?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**2 + q**2 + 0*q**2 + (0 - 1 + 2)*(-5*q**2 - 2*q + 2*q) - 3 - 1725*q + 1725*q - 2*q**2.\nAnswer: -9*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 22*s**2 - 43*s + 73. Give u(22).\nAnswer: -873","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -o**4\/4 + 2*o**3 - 33*o**2\/2 + 108*o - 7330. Calculate z(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a1 - -4?\nAnswer: -199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 10222210 (base 3) to base 4\nAnswer: 231132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -403*y - 194*y + 183*y.\nAnswer: -414*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/5))**(-16))**(-2\/29)\/((g\/(g*g\/(g*g**5)))\/g**2*g**(-4)\/(g\/(g*(((g**(1\/6)\/g)\/g)\/g)\/g*g))) assuming g is positive.\nAnswer: g**(3719\/870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 845 + 929. Suppose 0 = 14*t - 130 - p. What is the smallest common multiple of t and 2?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 33 = 5*o + 48, 9 = -3*o for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 290 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 0*k + 0 - 48*k**4 + 4 - 162*k**4 + 2*k - 356*k**4 wrt k?\nAnswer: -2264*k**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence doo when three letters picked without replacement from {d: 2, o: 3, q: 7}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 17*l + 3024. Let f = 426 + l. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*(232\/216 + -1)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**5\/5 - 6*x**4 + 236*x**3\/5 - 774*x**2\/5 + 1107*x\/5 - 108.\nAnswer: (x - 20)*(x - 3)**3*(x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 52*m**3 + 2*m**2 - 33*m + 160. List the prime factors of c(5).\nAnswer: 5, 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9809189, -39236744, -88282667, -156946958, -245229617, -353130644?\n\"Answer: -9809184*g**2 - 3*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t + 0*t - t + (2*t + 1 - 1)*(0 + 2 + 0) + t + 0*t + t + 15 - 5*t - 15.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1028432?\nAnswer: 2, 17, 19, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 22908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/7))**(-5\/7)*r*r*r\/r**4*r*r*r*r**(-2\/7) assuming r is positive.\nAnswer: r**(74\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 496 a factor of 8852608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of 13*k**6\/144 - 23*k**5\/120 + 59*k**4\/12 + 18*k**2 - 1. Let x(q) be the second derivative of m(q). Differentiate x(w) wrt w.\nAnswer: 65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -9 + 25. Let o(w) be the first derivative of w**4\/4 + 2*w**3 - w**2 - 9*w + 4. What is the least common multiple of u and o(-6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6282.\nAnswer: 2, 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-9 - (10 + -6))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*-6*6\/(-9). Suppose -r*d = -d - 18. Let i(z) = -z**3 + 6*z**2 + z + 6. What is the units digit of i(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - -52)*(-378)\/(-24). Let t(r) = -r**2 + 10*r + 149. Let b be t(18). Suppose b*k - 2*x - 4338 = -333, -k + l = -4*x. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -583\/102459 or 1?\nAnswer: -583\/102459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1661*z**2 + 90*z**2 + z**3 + 1 - 6*z**3 - 1751*z**2 - 1.\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -17a1 - 137?\nAnswer: -1918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -3*t + 29705, 2*t + 19782 = 4*t + 4*d. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 2 = -18. Let w = -51144 + 51154. Solve h*n + 17 = 5*z, -2*z - 7*n - w = -3*n for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.18, 104747, -2, 3, 9 in decreasing order.\nAnswer: 104747, 9, 3, 0.18, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/2)\/(2\/22). Let s(a) = -a**2 - 12*a - 11. Let p be s(-12). Let w be ((-10)\/3)\/(p\/363). Calculate the highest common factor of w and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-6)\/((-144)\/(-40))*4?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3480 and 336?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 8) to base 15\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -1 (c) -9\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in -0.05, -3, -1\/12, -26?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-8)*27\/(-9)*2*200\/15?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 4*w + 2. Let h be l(3). Let d be ((-8)\/(-20))\/(2\/50). Suppose -k - 3*r = 5 - 2, 5*r = -d. Solve -4*o = -j + k - 20, 0 = j - h*o + 21 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/9*(-1086)\/181?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 3*a - 6 + 5, 5*c - 26 = -a for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -259 (b) 0.8 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37 + -56. Let r = d + 173. Is 16 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2037 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005536 rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211 + 611 = -5*r. Let q = r + 398\/5. Let y = -0.08 + 4.08. Sort y, q, -1 in ascending order.\nAnswer: -1, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 470654, 940368, 1410082, 1879796, 2349510?\n\"Answer: 469714*i + 940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.13 take away 2?\nAnswer: -24.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 11853 times 34\nAnswer: 403002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k - k**4 + 6*k**3 - 4*k**3 - 62 - 4*k**2 + 61 to the form o + s*k**2 + c*k**3 + g*k + b*k**4 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + c + 4, 0 = 3*v + 3*c - 6. Factor -2\/7*s**2 + 12\/7*s**4 + s**5 + 3\/7*s**v + 0 + 0*s.\nAnswer: s**2*(s + 1)**2*(7*s - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -375309 divided by 7359.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.193 + 149.807. Let g = f + -149.96. Which is the biggest value? (a) -5 (b) g (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sfwq when four letters picked without replacement from {h: 1, e: 1, f: 1, q: 2, s: 1, w: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2739?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g**2 - 2440*g + 372100 = 0 for g.\nAnswer: 305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o**3 - 4*o**3 - 2*o - 2 - 2*o**3 + 2*o**3 in the form p*o**3 + m*o + k*o**2 + v and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 640*f - 2646*f + 1556*f + 1444*f.\nAnswer: 994*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -649, -707, -755, -793?\n\"Answer: 5*b**2 - 73*b - 581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/4? (a) 0.1 (b) 0.3 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 3133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.338 - 0.238. Sort 0.5, z, 1.3 in ascending order.\nAnswer: z, 0.5, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52 divided by -52\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 712, -4355, -12776, -24545, -39656, -58103, -79880, -104981?\n\"Answer: b**3 - 1683*b**2 - 25*b + 2419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 136 - 500. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1008 and 24.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-2\/5)*m)**(-7\/5)*(m*m**(-2\/7)\/m)**(-31) assuming m is positive.\nAnswer: m**(1158\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 74.8 + -75. Let f = 2\/531 + 2114\/2655. What is the fourth smallest value in -7, v, 0.1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 5*d + 4*p = 26, 0 = -2*d - p + 8. Suppose -10 = d*l - 3*l. Find the third derivative of l*f**2 + 2*f**2 - 4*f - 6*f**3 + 4*f wrt f.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, n: 1, m: 4, x: 5}. What is prob of sequence mn?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -404 = 7*r - 1762. What is the smallest common multiple of 11 and r?\nAnswer: 2134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide (52\/10)\/((-25)\/(-1500))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 4*y**2. Suppose 0 = -5*r + 3*r. Let m(f) = 2*f**2 + 2*f**2 - f**2 + r*f**2. Determine q(m(o)).\nAnswer: 36*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and -841798.\nAnswer: -841803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*4\/16*2*1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388 is divided by 78.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 72\/6131?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, z: 2, m: 1, c: 1, k: 1, v: 2}. Give prob of sequence vvz.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 5*d = 208, 0 = 4*f - 2*f - 5*d + 476. Let r = 234 + f. Solve -4 = r*x + 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1100143423 + 1?\nAnswer: 1100143424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.11 + -2.2. Let u = z - -0.49. Let l = u + -7.7. Round l to zero dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41874090017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**2 + 2 + 3 - 1 + 30837*k + 3*k**3.\nAnswer: 3*k**3 + k**2 + 30837*k + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 765512?\nAnswer: 2, 11, 8699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1816.999995028 + -1817. Round q to seven dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 6*l**2 + 4*l - 4. Let u(t) = -7*t**2 - 5*t + 3. Let z(q) = -6*o(q) - 5*u(q). What is the least common multiple of z(0) and 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -6*s**3 - 3*s**2 - 4*s - 2. Let f be c(-1). Solve f = -4*g + 3*a, 2*g + a + 17 - 2 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 6, 35 in decreasing order.\nAnswer: 35, 6, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r = 178 + 38. Which is the nearest to 1? (a) 0.2 (b) r (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*m = 3*m + 54 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 18 = 4*x, -2*x + 10 = 6*y - 5*y. Solve 24 = -6*l - x*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 3*z**4 + 112476*z**3 + 7634283*z**2 - 7971726*z - 15493536 = 0?\nAnswer: -37424, -69, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -846*g**2\/5 + 1699*g\/5 - 853\/5 = 0.\nAnswer: 1, 853\/846","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 1849052?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zqh when three letters picked without replacement from {h: 6, f: 2, q: 3, z: 2, m: 3}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 315757105 and 55.\nAnswer: 3473328155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00334948593 to seven decimal places.\nAnswer: -0.0033495","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 561, 566, 571, 576, 581?\nAnswer: 586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g*g**(2\/15)*g))\/g**1*g**(-3)*g*g**(-1)*g)**(2\/37))**(4\/3) assuming g is positive.\nAnswer: g**(-496\/1665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y\/(y**18\/y*y)*y)\/y)\/y*y*y**(9\/5) assuming y is positive.\nAnswer: y**(-66\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.317 - 0.073. Let o = -0.39 - r. Let s be (-12)\/70 + 2\/(-5). What is the second biggest value in s, -2, o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11\/2 + 1\/2*b**2 + 6*b = 0. What is b?\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 12:01 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 48*o**2 - o. What are the prime factors of s(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 2*t + 6*m + 56, 48 = -2*t - m. Let n = t + 20. Suppose 3*x = 3, -w - 4 = -4*x - 0. Which is bigger: n or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 310, 596, 884, 1174, 1466?\n\"Answer: a**2 + 283*a + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23332699 or -163328894\/7?\nAnswer: -163328894\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q + 1. Suppose -5*o - 62 = -37. Let x be r(o). Let t(f) = 2*f**2 - 6*f. Let l(j) be the second derivative of -j**3\/6 + j. Determine x*l(n) + t(n).\nAnswer: 2*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - -1 - (-13 - -12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184169 = 75*j - 181994 for j.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tcctttjctcctrcirc. Give prob of sequence cji.\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 5*h - 81 = -25, 2*h = 4*h + 20 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - 1955\/645)\/(-2). Which is smaller: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 704*x - 707*x + 17, 3*t = -3*x + 27 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*r**3*u**2 - 35374*r**3*u - 101980*u**2 + 3*u wrt r?\nAnswer: 27*r**2*u**2 - 106122*r**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -1140*m - 49. Let h(s) = 3609*s + 148. Let o(f) = -6*h(f) - 19*u(f). Calculate o(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 116 - 164. Let k = z + 62. Calculate the least common multiple of k and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*i**5 + 16*i**4 - 81*i**4 - 9196*i + 9310*i wrt i.\nAnswer: -60*i**3 - 780*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - 9*k. Suppose k = -7*c - 15 + 57. Suppose -18 = -7*p + c*p. Calculate the greatest common divisor of 2 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one fifth of a minute?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 181961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + m**3 + 0*m)*(3*m - 5*m + 0*m + (4 + 0 - 5)*(-2 + 2 + m) - 4*m + m + 4*m).\nAnswer: -2*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 9*n**2 - 25*n + 16. Let l be a(-6). Let f = l + -357. Suppose -43 = -4*d + 25. Calculate the remainder when f is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a year in months?\nAnswer: 258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*b**3 - 3*b**3 - 2*b**3 + (2*b - 3*b + 3*b)*(b**2 + b**2 - b**2) - 3*b**3 + 13*b**3 + 2*b**3.\nAnswer: 15*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1950 divided by -6?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -39810975?\nAnswer: 15924390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.046830847 rounded to 4 dps?\nAnswer: 0.0468","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.596 and 91556.\nAnswer: 91556.596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*k - 20861 = 5*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + 0. Suppose x*r - 92 = -20. Suppose -4*m + r = -0*m. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-3)\/30 + (-2)\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/1)\/2*8. Suppose 0 = l*v + 3*v + 721. Let j = v - -165. Does 22 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 592 + -584. Let p be (-2)\/o*0*5\/(-10). Factor 10\/3*g + p + 5\/6*g**2.\nAnswer: 5*g*(g + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n**3 + n**3 - 2*n**3.\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-47)\/8 - (20 + -11 + -15). What is the nearest to r in 44, 4, 2, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 129, 128, 127, 126, 125, 124?\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 - -1. Let p = x + 42. Suppose -2 = 375*m - 377*m. Sort m, -2, p.\nAnswer: -2, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -8. Suppose -3*d - 4 = 4*k - 3, -3*d = -3*k - j. Let c(z) = 23*z**2 - 2*z + 1. Let t be c(d). What is the greatest common factor of t and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.58153 millilitres in litres?\nAnswer: 0.09558153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 147, 14, 1, -0.64?\nAnswer: -0.64","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7957400 rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from ppjappej.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5*i = 12, -x - 3*i - i + 15 = 0. Suppose -3 = -x*u + 3. Suppose q - u = -q. Is 2 at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 58\/(-10) + ((-3348)\/(-567) - (-4)\/42). What is the third biggest value in 69, 1\/3, 1, w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -158037364*u**3 + 49027*u - 4585 wrt u?\nAnswer: -948224184*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**4\/5 - 700*q**3 - 117458*q**2\/5 - 1324224*q\/5 - 4983264\/5 = 0.\nAnswer: -1716, -12, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 = 26*u - 28*u. Is 29 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1202769400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 24 + 7 = 4*c, 3*c + 40 = -5*s. Let g = s + 15. Suppose -q = 2*l - 5*l + 16, g*q = l + 2. Solve -3 = 3*w + l for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-1\/12))**(-10)*(g\/(g*g**(-2\/11)))**(-32) assuming g is positive.\nAnswer: g**(-989\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y - 5. Let b be i(-12). Suppose b = -7*t - 49. Let q be 8\/3*4\/t*-9. What is the highest common divisor of q and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -320 - -318. Let v = 3 + -5. Which is the closest to p? (a) -0.2 (b) v (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(2299)*2 + -5)*-5*2)**2.\nAnswer: -13200*sqrt(19) + 920500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h**2 + 2*h**3 - 1 - 3*h**2 - 2*h**2.\nAnswer: 2*h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47273 + 19100 = 2055*x + 8130 - 11627 for x.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 171379972?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42462755 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 472604535 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 746259799?\nAnswer: 20297, 36767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 to the power of 1\/2, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/15)\/(1\/(-5)). Suppose 4*p - 24 = 0, -22*d + 2*p - 3 = -19*d. Sort -1, r, d.\nAnswer: r, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1121 - 1134. Which is the closest to q? (a) -4 (b) 47 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*2 - -1)*(-48 + 82)*(-13)\/26.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1477456 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44033, -88072, -132117, -176168?\nAnswer: -220225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 315116 - -12533089.\nAnswer: 12848205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 11:02 PM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*l - 12*l - 11*l - 7*l = 8*l + 8, -w + 251 = 59*l for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24815?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 40 = -8. Suppose 0 = 3*n - 4 - 68. Let x = z + n. Solve 0 = -5*u - 5*j + 30, -u - j - 2*j + x = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 185*w**3 - w**2 + w. Let x be f(1). Suppose -3*g = 2*g - x. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 3*f = -59*f + 560. Solve 3*w - 1 = -z + 17, 2*w = f for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 2) + 9 + -5 - -5?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -k - 1, -2*v + 179*k = 178*k - 1. Let w = 0 - 0. Which is the closest to v? (a) 1 (b) 0.3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**4)\/w**(-3\/5))**(-1\/6) assuming w is positive.\nAnswer: w**(-14\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 145328333 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 72 + 45\/(1260\/(-1862))\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 33024482 or 33024528?\nAnswer: 33024528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 30518901 to the power of 1\/3, to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 9:12 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1541 + 153*f**2 - 14*f**2 + 3049 - 1508.\nAnswer: 139*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4 (b) -5 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 4*j + 16588 = 0, 2*j - 12466 = 3*h - 6*h. Suppose 4*y - 5*d = -0*d + 4140, -h = -4*y + 2*d. What is y rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 2 (c) 4 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*u + 8*u - d + 45518, u + 5*d - 15168 = 0. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z + 0*z - 4*z)*(1 - 3 + 4) + z + 2*z - 2*z + 2*z - 2*z + 3*z - 2*z + 3 - 3 + (3*z - 2*z + z)*(-2 + 4 + 0).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.2843434 rounded to one dp?\nAnswer: -6.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 13 = -f, f - 33 = -1554*g + 1556*g for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -433130 to the nearest 10000.\nAnswer: -430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(20)\/sqrt(4)*-4 - sqrt(10)\/(sqrt(4)\/sqrt(2)) - (sqrt(180)\/sqrt(192))\/(sqrt(33)\/(sqrt(33)\/sqrt(3))))**2.\nAnswer: 2205\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(539)*1 - ((-4 + -2 + sqrt(11) + sqrt(11))**2 + 1*(0 + sqrt(11))))*-5.\nAnswer: -150*sqrt(11) + 390","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*g + 38*g + 21*g - 91*g - 4*g**2.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2914?\nAnswer: 2, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 6 + 3 = m, -5*o - 3*m - 9 = 0. Suppose -4*t = 5*c - 0*c - 105, -2*t - 10 = o. Calculate the remainder when 95 is divided by c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -y - 19, -3*a + 2*a - 4*y + 8 = 0. Let h = a + -4. Let j(f) = -f**2 + f + 2. Determine j(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003561 to four decimal places.\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.305 + 0.005. Let y = 241530.69962 - 241533. Let o = h - y. What is o rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*a - 35*a + 1560989*a**2.\nAnswer: 1560989*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (62\/204 + (231\/374)\/21)*210\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-2))\/((-1)\/(-6)). Let b be 8 - (2 + -2 + q). Sort 4, b, 2 in descending order.\nAnswer: b, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30616910 rounded to the nearest ten thousand?\nAnswer: -30620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 269225 - -13479\nAnswer: 282704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 54 + -82. Let c = -43 - b. Let l = c + 42. Calculate the remainder when 80 is divided by l.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1388657 at most 1388658?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 2886.\nAnswer: 11544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 2)*(2 - 4 + 1)*(-158*g + 243*g - 756*g - 315*g).\nAnswer: 2958*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1655 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/((sqrt(36) + sqrt(9))*6) - 1*(sqrt(60)\/sqrt(10))\/sqrt(3).\nAnswer: -17*sqrt(2)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ugmeayu. What is prob of sequence uuga?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7132.62188 rounded to the nearest ten?\nAnswer: -7130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11\/(-121) - 92\/(-44). Solve -k*j = 5*u - 9*u - 12, 2*u + 4*j + 26 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v**5\/10 - 1401*v**4\/5 + 1965593*v**3\/10 - 1950202*v**2\/5 - 1370880*v - 784000 = 0. Calculate v.\nAnswer: -1, 4, 1400","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.09 + 0.01. Let c = -143.8968 - -144. Let a = c - d. What is a rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38145888 is divided by 12715290?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-5*(sqrt(136) + -2*sqrt(136) + sqrt(136)))\/sqrt(8))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c*c*c*c\/c**(-1\/2)*c))**34\/(c**8\/c**6))**(4\/3) assuming c is positive.\nAnswer: c**(-484\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of z**5\/20 + z**4\/12 + z**2 + 2*z. Let x(q) be the first derivative of d(q). Find the second derivative of x(u) wrt u.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(25)\/(-3*sqrt(125)) - (sqrt(245) + 4 + sqrt(245)*-1 - (5 + (1 + sqrt(245))**2)).\nAnswer: 71*sqrt(5)\/5 + 247","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 37. Suppose -3*q = -2*v + 127, -3*q = -7*q - 20. Let h = v - t. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 629*k + 671*k - 48175 = -338*k + 463*k for k.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -134 - 4?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 3*c + 1. Give o(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -9*y**2 + 14*y - 1. Let i(g) = -4*g**2 + 7*g. Calculate 5*i(p) - 2*l(p).\nAnswer: -2*p**2 + 7*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -66 - -71. Suppose 3*z + 1079003 = s*a + 4*z, -z = -3. What is a rounded to the nearest ten thousand?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -4*m - 19. Let j be s(-6). Suppose -2*z + 0*z = 2. Let p = z - -1. Solve p = b - j for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 0.0257?\nAnswer: -0.0514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/2, 23, 9?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1423\/20 - -285\/4. What is the closest to 3 in 0, -5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1)*(1 + g - 1) + 3*g - 4*g + 0*g - 2*g + 0*g + 0*g - 51*g - 14*g + 10*g + 4*g + 9 - 9.\nAnswer: -52*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9855 - -138. Round g to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/912 + -661\/2128. Let u = 31176\/7145 - -31827023\/21092040. Let g = u - -1\/369. Calculate the common denominator of o and g.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 292 = -492. Suppose 3*h - 11 = -3*j - 83, 2*h + 5*j + 36 = 0. Let k = t + h. Solve 0 = -7*g + 4*g - k for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6999 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 65*n - 158. Let u be x(-6). Let h(s) = -s**2 + 17*s - 6. What is h(u)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/10 of a millimeter?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 43 = -31. Suppose c - 2*a = -0 - w, -c = -a - 1. Solve -1 - 14 = c*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 15 = 4*v, -4*l + 2*l = 5*v - 22 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 5 + 2)*(-72 - 66 + 139 - 30*c).\nAnswer: -390*c + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by ((-9)\/(-6))\/((-5 - 6)\/(-132))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 14) in base 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4240741221 to the nearest integer?\nAnswer: 65121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19864 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5295 - 1818. Let d = u + -1693. List the prime factors of d.\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294*b - 12150 - 16830 = -5193 + 2967 for b.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31 and 527?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*m = 0. Solve -n - 4*k - 8 = -5*n, m = 2*n + 4*k - 16 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 - -17. Let a(h) = h**3 + 4 + 8*h**2 - 233*h + 228*h - 1. Is a(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + f + 4835 = 0, 4835 = 2*y + 3*y + 5*f. Calculate the remainder when y is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1026, -3, 15 in descending order.\nAnswer: 15, -3, -1026","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5 (b) 4 (c) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 64 = -r. Let s(a) = 4*a**2 - 80*a + 416. Let v be s(16). What is the greatest common divisor of v and r?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + 1 - (554 + -570).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.168424 and -0.2.\nAnswer: 0.0336848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1272 - 1276. What is the nearest to 2\/7 in j, -5, -0.004, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -199673*q**5 + 4*q + 128 wrt q.\nAnswer: -3993460*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-18))\/(1\/(-4)). Let r = 14.18 + -14. Which is the smallest value? (a) r (b) -2\/7 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) -1\/2 (c) 9 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6315 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.16, -173\/3.\nAnswer: -173\/3, -0.4, 0.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*b + 16 + 8. What is the units digit of ((-20)\/16)\/(3\/(-804)*b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7*(-22)\/(-1463))\/(-1*1).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 15*k**2 + 6*k - 33. Let p be a(-16). Let m = -125 + p. Solve -m*n - 8 = -2 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, y: 2, u: 1, w: 1, v: 1, t: 1}. Give prob of picking 1 v and 1 w.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of 7*z**5\/20 - z**4\/6 - z**3\/3 - z**2\/2 + 22*z. Let v = 13 - 10. Suppose -2*u - v = u. Determine f(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1258\/(-157) + (12 - 429\/33)*(-4 - 4).\nAnswer: -2\/157","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 1. Let j(h) be the second derivative of -h**3\/6 + h**2\/2 + 33710*h. Let z(w) = -w**3 - 5*w**2 + 6*w - 1. Let g be z(-6). What is g*j(o) - 2*y(o)?\nAnswer: o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 424468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -5 - -7 - -10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 202330?\nAnswer: 202324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 12) in base 14?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3705 and 862485.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -865*t**2 + 316*t**2 + 5 - t**3 + 555*t**2 - 2*t. Let w = -2 + 4. Suppose -15 = -w*u + 5*k - 2*k, -5*k = u - 1. What is c(u)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 208.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84 and 16428.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -1, -33286 in descending order.\nAnswer: 5, -1, -5, -33286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 509 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-850)\/221 + 4 - 4860\/(-351)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3685 plus 0.2?\nAnswer: 3685.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-8))\/(10\/472). Let x = 12 + f. Let i = 18.7 - 19. Which is the closest to 0.2? (a) -1\/3 (b) i (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/8)\/((-45)\/(-60))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**2\/5 + 10218*n\/5 - 133172\/5 = 0.\nAnswer: -5122, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m - 7. Let l be r(9). Factor 2*q**2 - 3*q**l + 3*q**2 - 2*q.\nAnswer: 2*q*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37\/488 + 3\/61. Let l be ((-7)\/7)\/(1 - 4). What is the second biggest value in r, l, -1\/5, 1\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83399611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102 + -11?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(520)*1)\/sqrt(10))\/(sqrt(100)*-2) + -2)**2.\nAnswer: 2*sqrt(13)\/5 + 413\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.036 + 0.064. What is the third smallest value in -5, d, 0.4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -51 - -57. Let q(c) = 5*c**2 - 7*c - 4. Let z(t) = 4*t**2 - 6*t - 3. Let f(s) = h*z(s) - 5*q(s). What is f(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**5 + 2*a**5 + a**5)*(-25 + 108 + 22).\nAnswer: 105*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**5 - 2*z**5 + z**5 - 4*z**5 + 4*z**5 + 2*z**5 + (3*z - z - 3*z)*(-4 + 4 + z**4) - z**5 + z**5 + z**5 - 90*z**4 - 47*z**5 + 90*z**4 - 6*z**4.\nAnswer: -46*z**5 - 6*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 377823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1004 divided by -441\nAnswer: 1004\/441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1653741918 to the nearest integer?\nAnswer: 40666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2271026890 rounded to the nearest 100000?\nAnswer: -2271000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*y + 118*y - 161 + 161 + 10*y.\nAnswer: 184*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(8*3\/60*5). Let n(p) = 742*p**2 + 743*p**w - 1483*p**2. Let x(c) = -95*c**2. What is n(x(m))?\nAnswer: 18050*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/(-63) - (-12)\/54 - 6\/(-72)*-9.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 1984*p**2 + 36*p - 1446. Let v(i) = 1987*i**2 + 27*i - 1447. Let l(k) = -3*o(k) + 4*v(k). What is the first derivative of l(t) wrt t?\nAnswer: 3992*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-1))\/(10\/65*-13).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -127018 divided by 9.\nAnswer: -127018\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 19 = -26. Suppose 0 = -4*d + 2*a + a + 9, -g = 5*d + 5*a. Suppose 0*u**2 + d - 2\/9*u + 2\/9*u**3 = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 14515330.\nAnswer: -72576650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175164 is divided by 136?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 268 + -268. Is r > -18\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 6*o**2 - 7*o - 6. Let b(x) = x**2 - 6*x + 4. Suppose -3*n + 2 = -n. Let m be -7 - -5 - (-6 + n). Let d be b(m). What is u(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 3 - 8. What is the greatest common divisor of k and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3281639?\nAnswer: 59, 55621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 90\/(-117) + 16?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179944 is divided by 238.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*c**2 + 4*c**2 + 2*c**2 + (-361*c**2 + 3*c**2 - 698*c**2)*(-4 + 2 + 3).\nAnswer: -1055*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 3)*(-3*c + 4*c - 2*c) - 5*c - 4*c + 6*c + (-3*c + c + 3*c)*(0 + 0 - 1) - 1 + 2*c + 1 + c + 0*c - 12*c + 2*c - 4*c + c.\nAnswer: -15*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.252 and 0.5.\nAnswer: -0.626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(700)*1 + -5 + (sqrt(700) - -1*(sqrt(700) + sqrt(700)*-4))*-3 + -3)**2.\nAnswer: -1680*sqrt(7) + 34444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.03 - 0.97. Let v be ((-1)\/6)\/((-18)\/54). Which is the closest to 2\/5? (a) 1\/4 (b) v (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*w = 368 - 123. Let u(b) = -6*b**2 - 7*b + 2. Let x(p) = 11*p**2 + 13*p - 4. Calculate w*u(o) - 4*x(o).\nAnswer: -2*o**2 - 3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of r**7\/280 - r**5\/60 + r**3 - 6*r**2. Let o(x) be the first derivative of s(x). Find the second derivative of o(i) wrt i.\nAnswer: 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7668, -0.1, -9 in decreasing order.\nAnswer: 7668, -0.1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = o, 7*l - 2 = 2*l - 3*o for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 - 12. Calculate the smallest common multiple of j and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5538637.13 + -5538608.1299983. Let w = -82 + 53. Let h = r + w. What is h rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 9, -6, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -8*f + 0 + 1\/2*f**3 - 4*f**2. Calculate the remainder when k(11) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 7*o - 163 + 324 - 156. Let p(u) = -11*u - 8. Give -8*l(s) - 5*p(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 207149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1122 (b) -4 (c) -0.1 (d) -1\/3 (e) -0.07 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkbkkbkkkbkk. Give prob of sequence bbkk.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -1359*b + 2580. What is the hundreds digit of s(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32*s + 557 - 204*s**5 - 543 + 1949*s**5 wrt s.\nAnswer: 34900*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) 5 (b) 2 (c) 3 (d) -58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 921617.\nAnswer: 53, 17389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven quarters of a kilogram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-18) + 0)*6. Let z = 26 - 28. Which is the third smallest value? (a) z (b) g (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2263?\nAnswer: 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + -10. Let f be (44\/(-7))\/((-2)\/p). What is the greatest common divisor of 33 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 356072 and 4888?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7080 is divided by 236?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g + 22*g - 4*r + 39 = -2*r, 42*r = 3*g + 39*r + 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 56886320 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1701\/378 - ((-3)\/2 + 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -6*t**2 - 3*t - 21*t**3 + 20*t**3 - 5*t. What is the remainder when 23 is divided by p(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5*r = -10, 0 = -5*q - 2*r + 10. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2731 - 67. What are the prime factors of k?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -6. Suppose -14 = -3*x + 2*h, -4*h - 18 - k = -5*x. Suppose -2*z + 39 + 49 = 5*r, 26 = z - x*r. What is the remainder when z is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3639.\nAnswer: 3, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7814 (base 12) in base 10?\nAnswer: 13264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*a + 17*a + 93 = 0. What is the second derivative of -67*d**3 + 43*d**3 - a*d + 6*d wrt d?\nAnswer: -144*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y*y**(-1\/3)*y)\/y*y**(-2\/9)\/y)**(-15)*(y**5\/y**(-5))\/((y\/y**(1\/5))\/(y**(1\/3)*y)) assuming y is positive.\nAnswer: y**(58\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 11) in base 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220) - sqrt(220)*2)\/sqrt(4))\/sqrt(11) + -3 + (-2*sqrt(60) - sqrt(60))\/sqrt(12).\nAnswer: -4*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ft when two letters picked without replacement from fffffttftftttt?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*a + 4. Solve -l = a*l - 25 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 96\/4 + 2205\/(-45) + 26?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (85\/(-510))\/((-2)\/(-3))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -72*(-8)\/42*(1 + 6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 11*j**2 + 10*j - 13. Give h(12).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 343087162?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -36*v**2 - 7*v + 18. Let z(w) = 6*w**2 + w - 4. Determine 2*j(t) + 11*z(t).\nAnswer: -6*t**2 - 3*t - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 1aa?\nAnswer: -1a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47088 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7494477*f**2*m**3 + 213506*f**2*m + 13*m wrt m?\nAnswer: 44966862*f**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*u**2 + 91*u**2 - 358*u**2 + 89*u**2 + 82*u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 388*k + 103*k**4 - 388*k + 2*k**4 + 3*k**4 - 6*k**4 + (55*k + 15*k - 13*k)*(4*k**3 - 2*k**3 - k**3).\nAnswer: 159*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183 = -196*k + 94 - 81 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1023 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1336 equal to 1337?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 668597?\nAnswer: 439, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 174 = 4*k, 4*r + 135 = -k + 2*k. Let y = r - -47. What is the highest common divisor of y and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/3530 and 167\/21180.\nAnswer: 21180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -120524.0121029 + 120524. Round q to 4 decimal places.\nAnswer: -0.0121","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -326000 to the nearest one thousand.\nAnswer: -326000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + p - 2. Let d(r) = r**3 - 5*r**2 - 7*r + 8. Let n be d(6). Let u be b(n). Calculate the remainder when (-2)\/u*2*-28 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 286, 624, 1178, 2110, 3582, 5756, 8794, 12858?\nAnswer: 18110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, q: 11, d: 1, g: 2, o: 5}. What is prob of sequence dgw?\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1723709 is divided by 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of 0*j**3 - 13*j + 8 + 0*j**2 - 1\/5*j**5 + 0*j**4. Differentiate n(r) with respect to r.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 50*q**2 - 1128*q - 5279. Determine u(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 6083 - 61. Calculate the highest common factor of j and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 - 26 + 18*g)*(2*g + 4*g - 3*g).\nAnswer: 54*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 539792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -36327\nAnswer: 108981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 2:55 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6590115916 to the power of 1\/7, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 74*a - 107474 + 33475 - 103157. Is 266 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 6:31 PM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of 4\/3*f**3 + 0*f**2 - 3*f + 1\/4*f**4 + 45. Suppose 1 = -2*u - 7. What is w(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-1 - -10 - (-30 - -36)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-2\/5))\/y)**(-38)*(y*((y\/(y**(3\/2)*y))\/y)\/y*y*y)\/(y**(-1\/20)\/y) assuming y is positive.\nAnswer: y**(63\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 537 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/12))**(1\/25) assuming l is positive.\nAnswer: l**(1\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - b**2 + b. Suppose -n - 12 = n + 3*i, 4*i - 12 = 2*n. Let c(d) = 3*d**3 - 2*d**2 + 2*d. Give n*v(h) + 3*c(h).\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i + 1. Let z(r) = 106*r**2 + 5*r + 8. Determine -8*h(m) + z(m).\nAnswer: 106*m**2 + 13*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.8 plus -0.0693?\nAnswer: 35.7307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/10130 and 17\/33429?\nAnswer: 334290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + 1. Let v(k) = -k**2 + 4*k. Let i(x) = -2*b(x) + v(x). What is i(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 5*n**2 + n + 4. Let c be k(4). Let s(m) = m**3 + 6*m**2 - 5*m + 5. Let l be s(c). Let p = 44 - l. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14.8 - -12.8. Let x = -3.18 + 0.18. Let w = -2 + x. Which is greater: b or w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 8:16 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -832, -808, -784, -760?\n\"Answer: 24*n - 856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04*226.\nAnswer: -9.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.29 and -0.89?\nAnswer: 1.1481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 0.4 (c) -1\/4 (d) 4\/11 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 356534 (b) 41 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 0.3, 25651, -1\/2, -5\/2?\nAnswer: 25651","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 5*v - 8 = 0, -8 = 2*s - 6*s + 3*v for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.9, -51, -2 in increasing order.\nAnswer: -51, -2, 0.9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 greater than 4540\/213?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3960300 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 0)\/((-4)\/(-76)). Suppose w - 43 = -3*i. Calculate the least common multiple of i and 36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 2*k**2 - 8*k - 1. Let i be f(-4). Let z be ((-18)\/i)\/((-10)\/14). Put z, -2\/15, -2 in ascending order.\nAnswer: -2, -2\/15, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4 + 524452*m**3 + 34385432898*m**2 + 550066235680*m + 2200130691200.\nAnswer: 2*(m + 8)**2*(m + 131105)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1405384*y + 2*l = 1405383*y - 8, -463*l = 5*y + 1852 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -116\/3*s**3 + 73\/4*s**4 + 0*s**2 + 103 + 0*s. Find the third derivative of i(t) wrt t.\nAnswer: 438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-2\/9)*o*o*o**(-27))\/((o\/(o\/(((o\/(((o\/(o\/o**(1\/43)))\/o*o*o)\/o))\/o)\/o)*o))\/((o\/o**(-7))\/o)))**(2\/13) assuming o is positive.\nAnswer: o**(-11420\/5031)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/735987 and 47\/9.\nAnswer: 2207961","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - w - 180 = 0. Is 12 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 + 27. Suppose v = 5*x + 2*i - 601, -i + 103 = 3*x - 257. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*w - 9*w - 45*w)*(w**3 - 2*w**3 - 4*w**3) + 4*w**3 - 2*w + w**4 - 4*w**3 as c*w**2 + p*w**4 + b*w**3 + u + v*w and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 141*k**3*n**2 - 40*k**3*u - k**2*n**2*u - 49962*k**2*n*u + 5*k*n*u - 5623*n**2*u wrt n.\nAnswer: 282*k**3 - 2*k**2*u - 11246*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 41489, 82969, 124435, 165881, 207301, 248689, 290039, 331345?\n\"Answer: -c**3 - c**2 + 41490*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34703845?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 91806 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 10 = q, 0*q - 4*h = -q + 14 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - -3) + (-3 - 2\/(-2)). Let b(o) = -o + 10. Let u be b(y). Suppose -4*t + u = 4*z - 83, z = -4*t + 22. What are the prime factors of z?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 g, 1 x, and 1 j when four letters picked without replacement from gxxgxnnxjgxjg.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -34, -0.3, -2\/7, 1\/5, -4\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c + 11. Let h be o(10). Let a = h - 31. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/(-35) - (-9736)\/5. Let k = v - 7733\/4. Find the common denominator of -69\/16 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1345557126.\nAnswer: 2, 3, 127, 1765823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 40537 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.55609 minus -772892?\nAnswer: 772891.44391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.49 * 104.5.\nAnswer: 51.205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 298*w - 13104 = -2*r, 2*r + 22*w + 52 = 23*w for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus 97913?\nAnswer: -97912.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.00408 times -0.15?\nAnswer: 0.150612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 399703603 to the nearest integer?\nAnswer: 737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2228062071?\nAnswer: 3, 43, 53, 325883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a1 (base 11) to base 14.\nAnswer: -25c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 701 + 4257 = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10.9 + -37.8. Let t = i + -36.7. What is t rounded to zero dps?\nAnswer: -85","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 6*m + 4. Let a be t(-5). Let d(n) be the second derivative of -n**5\/4 - n**3\/6 + 42*n. Give d(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 16 = 3*k, 27 = -5*k + x + 39 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1234090 + 1234092.700095. Let d = w - 2.7. What is d rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1570 + 4*b - 3*b**2 + 1577 + b**4 + 4*b**2 to p + m*b**2 + v*b**3 + j*b**4 + a*b and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6982.8 rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -18, -270, -946, -2256, -4410, -7618, -12090?\n\"Answer: -35*h**3 - 2*h**2 - h + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 27\/45*10 - (1 + 0). What is the highest common factor of y and 367?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/168 + 4505\/5355.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b\/b**8*b*b))\/b**(1\/14)*(b**(-3\/7)\/b)\/b**32 assuming b is positive.\nAnswer: b**(-57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -34 (c) -196.6 (d) 1\/2 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1565301 - -1?\nAnswer: 1565302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*t + 154*t = 70*t + 8798 + 4502 for t.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/5)\/(385149\/(-22135)).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of 0*j**6 + 0*j**3 + 0*j**2 - 3\/56*j**8 - 1\/12*j**4 + 0*j**7 + 0*j**5 + 4*j + 0. What is the third derivative of f(h) wrt h?\nAnswer: -360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - ((6 - 17) + 4) - 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 5*w - 2. Let n be d(4). Let f = -10 - n. Let p(q) be the third derivative of q**5\/30 + q**4\/6 - 5*q**3\/6 + 4*q**2. What is p(f)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of -y**7\/133 + 11*y**6\/285 + 3*y**5\/190 - 13*y**4\/38 + 40*y**3\/57 - 12*y**2\/19 - 10*y. Let g(c) = 0. Calculate c.\nAnswer: -2, 2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12942167 is divided by 2588430?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -17 - -83d4?\nAnswer: 83bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 120, 2, 4336, 0.03 in increasing order.\nAnswer: 0.03, 0.1, 2, 120, 4336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1542899*s + 4 - 13*s**2 + 15*s**2 + 1542737*s.\nAnswer: 2*s**2 - 162*s + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v. Let m(s) = -s**2 + 7*s + 9. Let h be m(10). Let i = h + 19. Let f be b(i). Put 4, f, 5 in descending order.\nAnswer: 5, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*f**2 - 10*f**2 + 10*f**2 + (2 - 1 + 1)*(-2 + 2 - 2*f**2) in the form v + g*f + k*f**2 and give k.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 31 = 5*n, -42*f + 44*f = 3*n - 11. Solve 0 = n*t - q - 9, 0*t + 12 = -4*t - 4*q for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 37*c**2 + 12*c - 429. Let t be u(37). Let v be (55\/44)\/((-1)\/(-12)). Solve -4*h - t = 5*w, w + v = -4*w - 5*h for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19431796.2999981 - -19431781.3. Let o = -15 - z. What is o rounded to seven decimal places?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 3 = -0*u. Let v = u - -5. Suppose -5*q + 32 + 18 = 5*b, 0 = -5*b - v*q + 45. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 3:44 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 238844.\nAnswer: 2, 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0116462 rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107, -213, -319, -425, -531?\nAnswer: -637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3*d = 3*h, d = -3*h + 24. Suppose 139 = -4*k - h. Let f = -13 - k. What is the remainder when f is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 798 is divided by 252.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 19281*j**2 + 25*j + 26. What are the prime factors of d(-1)?\nAnswer: 2, 31, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52 - 36. Let m = v + -4. Let r(x) = 3*x**2 + 3. Let h be r(-3). Calculate the greatest common factor of m and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344265 to the power of 1\/2, to the nearest integer?\nAnswer: 587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 607779829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -884*h. Let g(c) = 321107*c**2. Determine g(v(b)).\nAnswer: 250930991792*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*g - 29607 - 29126 = -59455 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*j**3*o + 1498579*j**3 - 12*j**2*o - 6*j*o - j - 1130*o wrt o?\nAnswer: -2*j**3 - 12*j**2 - 6*j - 1130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 3*v**2 + 2*v + 3. Let f be 1 - (2\/1)\/(3\/6). Determine x(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*o**3 - 21*o**2 + 4*o.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -8\/13 (c) 0.1958 (d) -0.8 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 23, 40, 57?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence syrs when four letters picked without replacement from {y: 5, h: 1, r: 3, s: 7}.\nAnswer: 3\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 53905*s**2 + 160*s + 44 wrt s.\nAnswer: 107810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmg when three letters picked without replacement from grgigggiirimirgmrg.\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*r - 4, -3*r = -2*o - 1 + 9. Calculate the greatest common factor of o and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -93031\nAnswer: 279093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06547 to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/7 - (-668)\/1456. Let h = 1\/13 + z. Factor -1\/2*s**2 + 0 - h*s**3 - 1\/4*s.\nAnswer: -s*(s + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29\/60 - 7\/15. Let s(j) be the third derivative of 0*j**3 - v*j**5 - 4*j**2 + 0 + 0*j + 1\/240*j**6 + 1\/48*j**4. Factor s(t).\nAnswer: t*(t - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -302, -656, -1012, -1370, -1730, -2092?\nAnswer: -2456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/15*(-960)\/(-256).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 438977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 4:51 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 20 = 8. Suppose -2*x - 6 = -3*x - 4*t, 0 = 2*x - 4*t + 24. Let y be (-2)\/(-6) + 14\/x. Put y, l, 0 in increasing order.\nAnswer: y, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23251393 and 187?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -0.98. Let i = -255\/4 + 2797\/44. Which is the smallest value? (a) k (b) -0.5 (c) 5 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a millimeter in nanometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/4)\/((-493)\/(-986))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/36)\/(6\/32). Let g = 21 + -20.6. Let n = 1868\/17 - 110. Which is the closest to 0.1? (a) q (b) g (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 344 - 326. Calculate the remainder when 125 is divided by c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of n**5\/20 - n**4\/12 + 25*n**2\/2 + n + 2. Suppose -w - 5 = 5*g, -3*w = 4*g + 24 - 9. Is x(g) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 1\/981355 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**20)\/o)**(2\/17)\/((o\/((o\/((o\/(o\/(o**(-2\/5)\/o)))\/o*o))\/o))\/(o*o*(o\/(o\/(o\/(o\/(o**33\/o)))*o))\/o)) assuming o is positive.\nAnswer: o**(2964\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(3\/5)*d**9*d)**45)**(-6\/29) assuming d is positive.\nAnswer: d**(-2862\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 878*m = 4*z + 879*m + 23, m - 12 = 3*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 591660.\nAnswer: 2, 3, 5, 19, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7753 (base 11) to base 15.\nAnswer: 3067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.26 + 1.\nAnswer: -4.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 517155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -174052 rounded to the nearest 10000?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 1\/2, 2\/11, -5.4, -2269\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 5*n**2 + 80*n + 329. Give v(-10).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -101*i**2 + 38*i + 2 wrt i?\nAnswer: -202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -74907 divided by 273?\nAnswer: -3567\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000002703985888 to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 1, -2*q - 101 = -5*h + 58. Let o be (-2)\/(-7) + q\/(-7). What are the prime factors of (o\/10)\/(6\/30)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -62, -123, -184, -245, -306, -367?\n\"Answer: -61*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3*m + 4 + (-4*m + m + 4*m)*(2 + 4 - 4))*(-22*m + 31*m**2 + 2 - 33*m**2 - 15*m).\nAnswer: 2*m**3 + 37*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 124*m**2 - 180*m + 219. What is the tens digit of k(-125)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -19*b**2 + 1 + 28*b**2 + b**3 - 2 - 4 - 2. Give x(-8).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18896 is divided by 100.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -15*p**3 + 17*p**2 + 59*p - 312. Determine g(6).\nAnswer: -2586","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*z + 4*w + 23, 4*z - 5*w - 45 = 0. Suppose -f = -5*k - 32, -k - 28 + 0 = -2*f. Suppose -2*u = -2*h + 38, z*u - 3 = f. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 4*h**2 + 4*h + 3. Let c(q) = -5*q - 6*q + 23*q - 4 - 4*q. Let z be c(0). Calculate i(z).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256*x = 252*x - 12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -594 + 599. Which is the closest to 0.1? (a) h (b) -0.1 (c) -2\/5 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25399501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -49 + 48.38. Let w = 0.6356 + a. Round w to three dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 145214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t. Let y(i) = -i**3 - 4*i**2 - 2*i - 6. Let a be y(-4). Let q(p) = p**2 - 4*p**2 + 2*p**a. Give k(q(x)).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -319858 + 24627132\/77. Let c = j + 172\/7. Suppose 5*d - 6*p + p - 5 = 0, 3*p + 9 = 0. Are c and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 + 32 + -87 + 32 + 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 152313 divided by 2?\nAnswer: 152313\/2","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 3*k - 3. Let p(a) = -1. Let i(h) = b(h) - 5*p(h). Suppose 12 = -2*j + 5*s, -14 = -4*j - s + 6. Suppose c + j*c = -10. Calculate i(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 11*k - 4. Let n be d(11). Let v = n - -14. Let r be (-16)\/v - 2\/5. Are 4 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 12:46 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -56, 1, -1.\nAnswer: -56, -5, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(126\/(-4)))\/(56\/((-28)\/(-2))*2)?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - 9*u**2 + u - 3. Let x be b(-9). Let s be (-15)\/x - 6\/(-8). Suppose -s = 3*y - 5. Which is greater: 0 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 128*n**2 + 130*n**2 + 3.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 13) to base 11\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/36*3)\/(1\/(-4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1304405 = -4*i + 335603. Let d be i\/10 - 1\/5. What is d rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -7. Suppose 0 = -4*i - 1 + 13. Suppose 441*t - 448*t + 5 + 9 = 0. Solve d = i*j - 10, 3*j - f*d = -6*d - t for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 98621791 to the nearest integer?\nAnswer: 9931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*u**2 - 33*u**2 - 29*u**2 - 27*u**2.\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1895\/4 - -462. What is the common denominator of 4\/(-18) - (-467)\/36 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5650560 and 48.\nAnswer: 5650560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 31040262 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, -0.4, 4, 98, -11\/5, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*k - 53 - 71 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111834?\nAnswer: 2, 3, 19, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from {y: 5, e: 4, s: 7}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l - 5*w + 8 + 13, -4*l + w - 15 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*u - 8*u - 77. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.00536 - 3.02236. Round m to one decimal place.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x + 3*x + x + (8 - 8 + 5*x)*(3 + 3 - 3)*(-2 + 3 + 1).\nAnswer: 34*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 f when two letters picked without replacement from {f: 14, r: 5}?\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-15)\/(-50) + 25718\/220. Which is greater: a or 117?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43163 divided by 3772?\nAnswer: -43163\/3772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12036917 to the power of 1\/2, to the nearest integer?\nAnswer: 3469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 + -4)*(-12)\/28. Suppose 0 = -v - x*j + 27, 0*v + 4*j - 86 = -3*v. Calculate the greatest common divisor of v and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 3\/4, -1\/160, -2\/5 in descending order.\nAnswer: 3\/4, -1\/160, -2\/5, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 45 in 3, -0.1, -1, -0.03?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 1 + 1 = 5*a, 34 = 5*x - 2*a. Suppose b - x*b = -30. Solve -b*r + 2*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -30790, -32639, -34488, -36337, -38186?\n\"Answer: -1849*o - 28941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 9:17 AM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3.5*245\nAnswer: 857.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -66.9 in 3, -1, 2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j + 20 + 28 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 13*h + 49. Suppose -84*y + 2*d + 50 = -87*y, 0 = d - 5. What is i(y)?\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/18169 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41044516 to the nearest integer?\nAnswer: 6407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 220327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*n - 10*n - 41*n + (-1 - 3 + 3)*(-2*n + 3*n + n) to o + u*n and give u.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 109\/3 - 36. Let o(t) = t - 3. Let u be o(-5). Let a be -1 + 0 + (-6)\/u. Sort -0.3, s, a in descending order.\nAnswer: s, a, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33123043 (base 5) in base 3?\nAnswer: 112112100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 3 + -6 - (-6 + 11 + 7)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -3*r**3 + 39*r**2 + 42*r = 0?\nAnswer: -1, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10840 + 28249. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 15 = -3*s - x, 5*x - 5 = -s. Suppose -2*r + 7 = s. Let k be -3 + (-2 - -3)*3. Put r, k, 5 in increasing order.\nAnswer: k, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -198987*t**5 + 8*t**4 + 18*t**3 + 480891476*t**2?\nAnswer: -11939220*t**2 + 192*t + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.4204819 microseconds to days.\nAnswer: 0.00000000009745928125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -31 - 24. Suppose k - 24 = -5*w + w, -w - a = -4*k. Let c(n) = -4*n + 10. Let s be c(2). Solve -3*d = -2*f - 7, 0*d + w*d + s*f - 17 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -543101 + 5*z - 6*z + 543087. Calculate t(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of d**7\/5880 - d**6\/630 + d**5\/280 + 2*d**3\/3 + 38*d + 2. Let s(w) be the third derivative of u(w). Factor s(p).\nAnswer: p*(p - 3)*(p - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 3*j = -17, 14*r - 3*j + 9 = 11*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 f when three letters picked without replacement from {f: 3, j: 9}.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/5 and 355\/2627*(-2)\/(-11).\nAnswer: 2035","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.03, -0.6, 3\/8, -35, 2\/9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -29754098 plus -117.1?\nAnswer: -29754215.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence csdn when four letters picked without replacement from {s: 1, c: 1, n: 1, x: 2, d: 4}.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hr when two letters picked without replacement from {h: 1, m: 2, y: 1, e: 1, r: 2, u: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/3 and -25\/10017.\nAnswer: 10017","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 7*p**2 + 4*p + 1. Determine c(-7).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 167222050 to the nearest integer?\nAnswer: 12931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jo when two letters picked without replacement from {j: 2, o: 4}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000067 to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -f**3\/3 + f**2 + 2*f + 1. Let h(w) = 5 + 7*w + 0*w**2 - 3*w**2 + 2. Let n = 38 + -24. What is n*b(u) - 4*h(u)?\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*m = 52*m - 84. Let h(z) = -8*z**2 - 7*z + 5 + z**2 + z**2. Let n(q) = 5*q**2 + 6*q - 4. Calculate m*h(l) - 7*n(l).\nAnswer: l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 520920276 to the power of 1\/2, to the nearest integer?\nAnswer: 22824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37598 and 902?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2 + 4 + (sqrt(117) - sqrt(117)*4) + sqrt(117))*-2)**2.\nAnswer: -7200*sqrt(13) + 50400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14333*j*p**3 - 587*j*p**2 wrt p?\nAnswer: -85998*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 17*i + 20. Let m be o(-7). Let r = 165 + m. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i - 15 = -19*i. Let u be i + 1 + ((-2)\/1 - -1). Solve -4*p = -u*w - 20, 5*w + 1 = -4*p - 11 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18220.51665 seconds to weeks.\nAnswer: 0.030126515625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/3)\/(-1*(-1)\/(-6))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 4*k + 82. Let n be p(-19). Suppose -20*r + n*r = -1274. What are the prime factors of r?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -8*o + 5. Let r(c) = -5*c**2 - 2*c + 1. Let v be r(1). Let t = -6381 - -6376. Let l(g) = 9*g - 6. What is t*l(z) + v*n(z)?\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence im when two letters picked without replacement from {g: 1, m: 1, i: 4, b: 2, w: 4, r: 7}.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -7. Let t = -92 - -95. Let w = g - t. What is the biggest value in w, 0.3, -1\/6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**6*z\/(z*(z*z**9*z*z)\/z))**38\/((z*z**(-2\/5))**29)**(40\/3) assuming z is positive.\nAnswer: z**(-384)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 56055067 + 14?\nAnswer: 56055103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of 1\/60*i**3 + 0*i**2 + 1\/120*i**4 - 24*i + 0. Factor t(u).\nAnswer: u*(u + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -49.52 * 0.02.\nAnswer: -0.9904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1485569 is divided by 12917?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 112 = 47. Let j = t + 25. Solve s + j = 5*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 less than 172967?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-5\/3)*x**45)\/(x**46*(x*x**(-13\/3)*x)\/x))**32 assuming x is positive.\nAnswer: x**(64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9305?\nAnswer: 5, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**2 + 5*v - 24. Give m(-7).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -213a455 (base 12) to base 2\nAnswer: -11000000010010100000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 3.9, -1\/2, -3\/2, 0 in decreasing order.\nAnswer: 3.9, 0, -1\/2, -3\/2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4\/6 - 196*t**3\/3 - 4350*t**2.\nAnswer: t**2*(t - 450)*(t + 58)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 55046.44l in millilitres?\nAnswer: 55046440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 405085545 and 230.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -169.4 and 25.6.\nAnswer: -143.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 z when two letters picked without replacement from {z: 9, g: 6, c: 1, l: 1, h: 1, y: 2}?\nAnswer: 27\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p**5)\/p)\/p)\/p**7)\/(p**(-2\/21)\/p**6)*((((p\/((p*p*p*p**0*p*p)\/p))\/p)\/p)**(-47))**(-37) assuming p is positive.\nAnswer: p**(-182530\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -7*p**2 + 2*p. Let r(d) = 20*d**2 - 6*d. Calculate 8*n(c) + 3*r(c).\nAnswer: 4*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -373 + 47*z**2 - 368 + 741.\nAnswer: 47*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 6*c**3 + 7*c**2 - 6. Let q(m) = 7*m**3 + 8*m**2 - 7. Let x(v) = 6*p(v) - 5*q(v). What is x(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(1\/((-3)\/2)). Let b be ((-105)\/x)\/(-7)*4. Let g(z) = -z + 5. Let y(w) = 2*w - 8. Let v(t) = b*y(t) + 8*g(t). Determine v(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*k - 2*k + 1 + 18*k in the form n*k + g and give n.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/2 - 178*y**2 + 2167*y\/2 - 905.\nAnswer: -(y - 5)*(y - 1)*(y + 362)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 667080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 76, 0, -0.5, -315, -0.3, -0.1 in descending order.\nAnswer: 76, 0, -0.1, -0.3, -0.5, -315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of k**5\/140 - 5*k**4\/42 + 16*k**3\/21 - 16*k**2\/7 + 56*k. Let l(f) = 0. Calculate f.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 - 19)*(51*f + 11*f - f) as i + b*f and give b.\nAnswer: -1037","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 393 is divided by 110.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2277772 divided by 2?\nAnswer: 1138886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - 1) + 11 + -9. Suppose -o*r + r = -8. What is the derivative of 5*u**3 + 6 + 6 + r*u**3 - 4 wrt u?\nAnswer: 27*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + 3*p - 7. Let o be 29\/9 + (-8)\/36. Suppose -d - 2*s = 5, d - 5 = 2*d - o*s. What are the prime factors of z(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3971*a**3 - 4*a - 4. Let q be i(-5). Suppose 737375 + q = n. Let d = -543766 + n. Round d to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.0001 - -10. Round z to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 7) to base 6\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -5, -16, -45, -98, -181, -300, -461?\nAnswer: -670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*g - 19*g - 55*g)*(0*g - g + 2*g) to w*g + n*g**2 + r and give n.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of h**4 - 3*h**2\/2 - 2. What is the second derivative of l(f) wrt f?\nAnswer: 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3\/2102 + 87239\/4204. Find the common denominator of 178\/24 - (3 + -2) and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2*r**4\/9 + 1130*r**3\/9 + 541882*r**2\/9 + 180250*r\/3 = 0.\nAnswer: -309, -1, 0, 875","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -4, 6 in ascending order.\nAnswer: -5, -4, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 13769221 and 27538441\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*f**2 + 4)*(5 - f**3 - 5) + 8*f**5 - 7*f**5 + 8*f**5 - 5*f**4 + f**3 - 392*f**5 + 395*f**5 + f**3.\nAnswer: 10*f**5 - 5*f**4 + 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 48208008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**2 + 2*g + 9. Let y(w) = -w**2 + 5*w - 4. Let m(n) = -n**2 + 6*n - 4. Let k(z) = 6*m(z) - 7*y(z). Let h(b) = -7*k(b) + 3*x(b). Give h(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express d**2 - 2*d - 94*d**4 + 96*d**4 - 2*d**2 in the form k*d**4 + a*d**2 + z*d + r*d**3 + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - -9. What is the remainder when 35 is divided by w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -113, -112, -113, -116, -121?\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 155, 380, 691, 1082?\nAnswer: 1547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 8*p**2 - 8*p + 35. Let o be z(-4). Solve 4*u - 8 = o*m, 4*m + u + 0*u + 17 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45 + -42. Solve 0 = 2*g + 6, -q*g = -5*u + 31 - 7 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -989a1 (base 12) to base 13.\nAnswer: -70b61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 5. Let q(u) = 9*u**3 + u**2 + u. Let n be q(-1). Let d = -9 - n. Solve -t*h - 2 + 4 = -2*o, -2*h + 4*o - 4 = d for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -592357*t - 592366. What is m(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.8 times 200140?\nAnswer: -1160812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 11*g**2 - 15*g + 10. Let s be p(9). Find the first derivative of 1 + x**3 + 164*x + 19 + 11 - s*x wrt x.\nAnswer: 3*x**2 + 127","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000018920439 to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2.1, 32, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*h - 57 = -4*d, 5*d = 4*h + 93. Let j(t) = -2*t**3 - t**2 - 23*t + 6. Let z be j(d). What is z rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7120 + -185093\/26. Which is smaller: r or 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(36) - sqrt(144)\/sqrt(4))*-6)\/(sqrt(24)\/sqrt(36)))\/((-4*sqrt(300) - sqrt(300) - sqrt(300)) + sqrt(96)\/sqrt(2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 5079.84 to the nearest ten.\nAnswer: 5080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 879 to the nearest ten.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 5*x - 25 = 0, -3*z = 2*z + 4*x + 20. Suppose -4*q + 3*h + 7 + z = 0, -h + 19 = 4*q. Solve -s = -5*s + q for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45828376 divided by -4?\nAnswer: 11457094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -55, 0 in descending order.\nAnswer: 2, 0, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9245\/17 + -1627\/3. Which is bigger: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -138.4 times 3?\nAnswer: -415.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (-117 - (-4 + 14 + -12) - -20).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 7, q: 1, n: 4, g: 5, b: 1, j: 2}. What is prob of sequence qnb?\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9413381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29833 is divided by 259.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 15, -s = 3*g - 20 - 77. Let r(y) = 44*y - 551. Calculate the remainder when s is divided by r(13).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 67\/340 - 5\/34. Let x = 101740 + -406963\/4. Sort x, 4, o, 2.\nAnswer: x, o, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3540\/13 at most -337?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -428.34748 - 664\nAnswer: -1092.34748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/8 and -29\/94103984.\nAnswer: 94103984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7 - 7)\/(2\/2). Is 2\/19 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s**2 + 38*s + 72 = 0. Calculate s.\nAnswer: -36, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (5 + 4)) + 1 - 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21507 a multiple of 201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 365 is divided by 168?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-1))\/(2312\/(-2023))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 97 - 87. Let u(o) = -o**3 + 13*o**2 + 13*o + 15. Is u(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, v: 3, o: 2, i: 4, c: 1}. Give prob of sequence jvj.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106858.\nAnswer: 2, 23, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*u - 4*u**3 + 1 + 16*u + 0 to t + g*u**2 + d*u**3 + y*u and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -4*y**2 + 3*y + 1. Let d(p) = 9*p + 11*p - 17*p**2 + 5 - 1 - 8*p. Let i(z) = -2*d(z) + 9*g(z). Let r(c) = 2*c**2 - 3*c - 1. Give 5*i(j) + 6*r(j).\nAnswer: 2*j**2 - 3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3744, 7573, 11402, 15231, 19060?\nAnswer: 22889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 + 22. Suppose -5*g + 15 = 4*s, 4*g + 5*s - 6 = 2*g. Which is bigger: g or x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7777 divided by -5.\nAnswer: 7777\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -54615046 divided by 27307523\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -63.5 - -16. Let r = 47.5239 + b. What is r rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 774 (base 13) to base 9\nAnswer: 1670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/2207917 - 951612517\/640295930. Let w = s + -2\/145. What is the closest to 1\/3 in -1\/5, -10, w?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-267)\/(-5) + 30\/(-75).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 110 in decreasing order.\nAnswer: 110, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of 4*w**4\/3 - 85*w**3\/6 + 115*w**2. Let k be t(3). Solve k*u - 10*u + 3 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 30234 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-2))\/((((-2205)\/(-14))\/(-45))\/((-14)\/(-4)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -106*h - h**4 + h**2 - 4223 + 4106 + 105*h + 7*h**3 to the form d*h + z*h**3 + l*h**2 + g*h**4 + s and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1072 + 1b?\nAnswer: -1056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33409 is divided by 31?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3315252 is divided by 1793?\nAnswer: 1788","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*j + 1 + 3 - 7 with respect to j.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 + b**2 + 0*b**2)*(287*b**2 + 1304093*b - 1304093*b + (4*b + 2*b + 0*b)*(-b - 3*b + 6*b)).\nAnswer: 598*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3334 + -3313 + (2 - (-18 - -1))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6932 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/10, 0.5, 10, -76.44 in descending order.\nAnswer: 10, 0.5, -1\/10, -76.44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1021*b - 287 = -1020*b + 2*z, -4*b - 1148 = -5*z. Is -287 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1630 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 2:30 PM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 704124.\nAnswer: 2, 3, 19559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 16.7. Let r = q - -1.7. Suppose -8*x = -35 - 5. What is the closest to -1\/2 in r, 0.2, x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*b = -108*b + 16 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*v = -12. Suppose u + v = 2*u. Let c be (-12)\/(-90) - u\/(-15). Is c at least 1.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35041, 70108, 105173, 140236, 175297, 210356?\nAnswer: 245413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -26*d - 26. Suppose 8 + 8 = 2*q. Let k(s) = 17*s + 17. Let j(r) = q*k(r) + 5*f(r). Is j(5) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/187880 and 89\/68320.\nAnswer: 751520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -165 (base 8) to base 11.\nAnswer: -a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-3) + 7 + -7. Suppose -3*i + 4*g + 40 = 2*i, 0 = 2*g + 10. Suppose 34*c**3 + 78*c**i - 13\/3*c - 2\/3 - n*c**2 + 45*c**5 = 0. Calculate c.\nAnswer: -1, -2\/5, -1\/3, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/19, 1\/938, -11.128?\nAnswer: -11.128","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**5\/5 + 3468*y**4\/5 - 1062416*y**3\/5 + 633284*y**2 - 3159474*y\/5 + 210400 = 0?\nAnswer: -2000, 1, 263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1134 and 16524?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 3 + -9 + 4 + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33195836 is divided by 516?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*j**4*p**2 + 101598*j**2*p - j*p**2 - 29*j*p - 905*j + 7*p wrt j.\nAnswer: -156*j**2*p**2 + 203196*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5033 divided by 428?\nAnswer: -5033\/428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q + 5*c - 40 = 14*q, -3*c + 24 = -2*q. Find t, given that q + 6\/7*t - 2\/7*t**3 + 4\/7*t**2 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -143 + 122. Suppose 0 = 2*o + 5*d - 116, 8*o + 2*d - 290 = 3*o. Let s = t + o. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 15. Suppose -7 = h + u*n - 1, -5*h - 4*n - 8 = 0. Solve h = -4*x + 9 + 11 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 78? (a) 0.03 (b) -1\/2 (c) 0.3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = 2*t - 12, 30*p + 4*t = 28*p + 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7023323 = 56*r + 7024891 for r.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + u - 390 = 4*u, -2*q + 196 = -u. Let g = -2 + 12. Suppose -8 - g = -2*j. What is the highest common divisor of j and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 83 - -1122. Is 22 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 9 = -33. Let r = b + 18. Suppose 3*o + 11 + r = 2*i, 5*o - 5 = 0. What is the remainder when i is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand r + 2*r**2 - r + (8*r + 0 + 0)*(r + 17 - 7 - 1).\nAnswer: 10*r**2 + 72*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 7*f**3 + 2*f + 1. Let c(w) be the second derivative of w**5\/20 - w**4\/2 + 5*w**3\/6 - 2*w**2 + 3*w. Let h be c(5). Let a = h - -3. What is u(a)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, a: 1, t: 2, m: 1, l: 1, d: 1}. Give prob of picking 1 l and 1 t.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1684*m + 7 = 1685*m - r, -21 = -5*m - 2*r for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*i**3 - 1 - i**2 + 38*i**3 + 0*i**2 as l*i**3 + q + o*i + n*i**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6558863 to the power of 1\/2, to the nearest integer?\nAnswer: 2561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 9:43 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 91 + -79. Suppose 5*r = 3*r + 5*p - 20, 3*p = q. Solve 4 = -r*a - 4*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 15*g - 47. What is t(-6)?\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 10849 + 9081 = 0. Calculate the greatest common factor of k and 1144.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -147*y**3 - 1033 wrt y.\nAnswer: -441*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1295 + -4 + (-20)\/5.\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22900 + 30293 = 447*k for k.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of r**6\/120 + r**5\/30 + r**4\/24 + 10*r**2. Let m be g(-2). Sort m, -3, -7.\nAnswer: -7, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4333\/64 - -1365\/64. Let r = 46 + y. What is the smallest value in 4\/5, r, 0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -6*j. Let d(w) = 4*w**2 - 2*w. Let o(v) = -9*v**2 + 5*v. Let s(b) = 5*d(b) + 2*o(b). Determine x(s(q)).\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 0*s**3 - 2 + 0*s**2 - 2*s - 3*s**2 + s**3 - 2. Let i be a(6). Suppose 0 = -k, 5*k + 14 = 2*l - i. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -131 + (-6 - (-1 + -25 - (-441 - -439))).\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -16*z**7\/21 + 7*z**3\/6 + z - 30. What is the second derivative of x(y) wrt y?\nAnswer: -640*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*c - 5*a - 279 = -7*c - 4, -49 = -4*c - 3*a for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 479*o**2 - o + 1. Suppose -1 + 4 = 3*g. Is f(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3381 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 523 + 526 - 1050 - 78*j**2 - j + 12*j**2.\nAnswer: -66*j**2 - j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -3*a**3 - a**2 - 3*a + 3. Let p be s(0). Solve -p*c + 2*g = -9, -2*c = -5*g + 9*g - 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11379051?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28455 - -28459. Which is the fourth smallest value? (a) l (b) -3 (c) -5 (d) -1\/6 (e) -0.0781\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 20 = 2. Let l(x) be the second derivative of x**5\/120 + x**4\/24 - 11*x**3\/6 - 27*x. Let h(d) be the second derivative of l(d). Calculate h(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48181071 is divided by 24090519.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*w = -38*w + 96 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 8085 = -12*u + 6*u. Does 33 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 12:46 AM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*o - 6 = 0. Suppose -n + 5 - 3 = -a, -o*a = -n + 2. Let g = n - 3. Sort g, 3, -3 in increasing order.\nAnswer: -3, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -11703, -46801, -105301, -187203?\n\"Answer: -11701*g**2 + 5*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-33)\/(-12))\/(1\/4). Let t(i) = -i**2 + 12*i + 7. Let n be t(a). Suppose -j + n = 6. What is the remainder when 33 is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60583150913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-10)*0)\/(1 + 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -5*q**4\/6 - 133*q**3\/6 + 59*q + 2. What is the second derivative of s(c) wrt c?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -13*z**2 + 2*z + 11. Let j(o) = 7*o**2 - o - 6. Let h(x) = 9*x + 25. Let u be h(-4). Calculate u*j(d) - 6*v(d).\nAnswer: d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13003 - -2073?\nAnswer: -10710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3568837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4989, 4938, 4885, 4830?\n\"Answer: -w**2 - 48*w + 5038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-16)*-20 - (6 - 1). Suppose 0 = -5*u, -4*r + 28 - 8 = -z*u. Solve 4*o - r = 3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16697 or 16694?\nAnswer: 16694","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (2 + -3)) + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 15) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 6064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3427696 divided by 3028?\nAnswer: 1132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 570 divided by -6\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**4 - 264*n**3 + 9224*n**2 - 33792*n + 32768 = 0. Calculate n.\nAnswer: 2, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/30 + (-8)\/(-24). Factor -3\/5*p**3 - 3\/5*p**4 + 0 + 0*p - 1\/5*p**5 - k*p**2.\nAnswer: -p**2*(p + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-76)\/(-3))\/((-21)\/((-24570)\/(-12))). List the prime factors of (i\/10)\/(7\/(-28)).\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u + 10. Let i be g(5). Suppose m + 1 = 2*x - 2*m, -i*x = -4*m - 6. Let y(p) = -6 + 13*p**2 - 10*p**x - 8*p**2 - 4*p + p**3. Calculate y(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.064 * -33.01\nAnswer: 2.11264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*l**2 + l**5 - 14*l**2 - 1)*(6 + 0 - 3).\nAnswer: 3*l**5 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 10 - (-55 - -51)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 2*k + 1. Let n be z(-2). Suppose 5*s - 2*w = 1 + 6, -4*s - w = -3. Let q be s\/(-5 - -6)*(1 - 0). Solve 2*p + n = -q for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -c**2\/2 - 21*c - 81. Let p be h(-21). Let z = 9 - 4. Solve 4*i = -2*s - p*s - 10, 0 = z*i - 5*s + 35 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3\/157 (b) 0.3 (c) -3.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 66\/15)\/(27\/(-90)). Let m = n - 21. Let f(r) = r**2 + 4*r + 6. Let v(s) = -2*s**2 - 9*s - 13. Give m*f(l) - 6*v(l).\nAnswer: -l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (-3 - 2) - (-5 + -35 - (-3 + -3))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50)\/75*2\/124*30?\nAnswer: -10\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15\/75 + 82\/(-10). Let u(m) = -m**2 - 7*m + 10. Give u(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2639 and -5.\nAnswer: -2644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1.26592*158\nAnswer: 200.01536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/2, -184, 0, 1\/3, 0.0141?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2883.4416 rounded to the nearest 100?\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of -j**5\/60 - 3*j**4\/4 + 23*j**3\/6 + 2*j**2 + 10. Calculate x(-19).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 3. Let o(b) = b**2 - b + 2. Let p be o(z). Suppose -58 = -p*m + 210. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 199, 404, 609, 814, 1019?\n\"Answer: 205*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7364 + 7363. Let i = 16.1 + -15. Let z = -0.8 + i. What is the third biggest value in z, -3, s, 2\/13?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21630 divided by -7.\nAnswer: 3090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -160, -156, -152, -148, -144, -140?\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-52)\/65)\/(-26*18\/360)\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1986 is divided by 127.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*d**5 + 16065*d**4 - 151760*d**3 + 198705*d**2 + 350320*d - 16320 = 0. Calculate d.\nAnswer: -1, 1\/22, 3, 8, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/14 and -37\/3514.\nAnswer: 3514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/13? (a) 0.1 (b) 22\/13 (c) -2\/9 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 20*d**2 - 17*d + 17. Let g(l) = -l**2 - 8*l + 12. Let f be g(-7). Calculate the remainder when p(f) is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20296*l**3 + 49158*l wrt l?\nAnswer: -121776*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 919?\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 766208808528 and 0.4.\nAnswer: 766208808528.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -1, 4, -2, -3 in decreasing order.\nAnswer: 4, -1, -2, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, u: 7, t: 9, p: 1}. What is prob of picking 1 p and 2 t?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - 131*m + 513. Determine z(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 186234859 to the nearest integer?\nAnswer: 571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-32)\/48*6\/26. Let t be 4\/(-10) + 14\/10. Is t > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -0.4, -131.86, -4, 5 in descending order.\nAnswer: 5, 2\/15, -0.4, -4, -131.86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 5*j - 12 = 0. Let f(c) = c**2 + c - 2. Let v be f(-3). Suppose 0 = -o - b + 6, 3*b + 8 = -v*o + 28. Is o smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20\/839 - 84939\/8390. Calculate the common denominator of g and 41\/88.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - -3)\/(2 - 0). Let t be y + -5 + 2 + -5 + 10. Suppose -t*x - 2*x + 564 = 0. List the prime factors of x.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - -3 - 7 - (40 + -38)*-7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 14 + 8 + 5175*g + 12)*(2*g**2 + 2*g**2 - 3*g**2).\nAnswer: 5175*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12 - 13*n + 12)*(-3 + 4 + 3) to z + a*n and give a.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 5*m + 24, -3*r - 2 + 15 = -2*m. Let d be r\/14*((-74)\/12 + 5). Put -5\/4, d, -3 in decreasing order.\nAnswer: d, -5\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - -4. Let z(y) = y**3 - 4*y**2 + 3*y - 2. Let o be z(2). Let r(k) = -k - 4. Let c be r(o). Solve c = 4*n - u for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + c**2 - c - 5. Let n(w) = -4*w**3 + 3*w**2 - 3*w - 16. Let r be -10*((-28)\/(-10) - 3). Let g(d) = r*n(d) - 7*p(d). What is g(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 73928.863 * 4\nAnswer: 295715.452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*p**2 + 5*p - 179*p**2 + 51*p**2 + 48*p**2 + 40*p**2 - 726 in the form i*p + r*p**2 + y and give y.\nAnswer: -726","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 655 in 0.3, -5, -151.8, 0, 2\/9, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -410179 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -i**6\/320 + i**4\/64 - 9*i**2. Factor j(h).\nAnswer: -3*h*(h - 1)*(h + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -111\/55 + 20\/11. What is the closest to i in 4\/3, 0.2, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(432) - (sqrt(432)*2 - sqrt(432)))**2*-3)*6.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*w + 3. Let z be -3 - (0\/w)\/(-1). List the prime factors of (z - 9)\/((-9)\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2413900 rounded to the nearest 10000?\nAnswer: 2410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2840368*x**3 - 4190814*x**3 + 389344 + 6319848*x**2 - 2716944*x + 2131010*x**3.\nAnswer: -4*(107*x - 46)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 + -2)*(-15)\/(-6). Suppose -n*y - 10 = -2*l - 2*l, l - 9 = -2*y. Calculate the smallest common multiple of y and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, 14, -9\/5, -5, -536, 1\/4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 n when three letters picked without replacement from tniueiutouuuutttenit.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 349941.4 decades in millennia?\nAnswer: 3499.414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (7 + (-42)\/14)*4*2\/(-4)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 5*n = f + 4, 0 = 3*n - 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1302*t + 648*t + 662*t.\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a + 2*a - 20. Let i be (23\/37)\/(21\/28). Let h = -6\/37 + i. What is the smallest value in a, -2, h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 + (8 - 17) + 7 + (-3 - (-3 + -3))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 6*a**2 - 9*a + 3. Let i be ((-8)\/(-6))\/((-200)\/(-150)). Let j be 7*i*((-30)\/6 + 4). Calculate n(j).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1247149095 a multiple of 1801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144) + 2*sqrt(144))\/(sqrt(36)\/(-1*sqrt(12) - sqrt(12) - sqrt(12))).\nAnswer: -36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + l + 5 + 0*l**2 - 3. Let s be f(-1). Is -1\/3 >= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*w**3 + 118*w**4 - 9*w**3 + 430 + 28*w**3 - 119*w**4 in the form d*w + t*w**4 + q + j*w**2 + k*w**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 75*z**3 - 10*z**2 - 9*z + 59. Is c(12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -87, -64, -43, -24, -7?\n\"Answer: -n**2 + 26*n - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 20 + (-63)\/(-9) + 10310\/(-645).\nAnswer: 2\/129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*(-3)\/18*-2. Let z(s) = -36*s - 2. What are the prime factors of z(m)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/((-3)\/9*-2). Suppose 4*b = -5*m + 43, -s*m - 3*b + 27 = -0*m. Let u = -17 + m. Sort u, -2, -3 in descending order.\nAnswer: -2, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 5:02 AM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1367, -2743, -4119, -5495, -6871, -8247?\nAnswer: -9623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 32 = q, 16 = 197*q - 193*q for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6\/5 (b) -2\/9 (c) 6 (d) 22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(120)\/sqrt(2))\/((2*sqrt(1452) - sqrt(12)) + sqrt(12)))**2.\nAnswer: 20\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 44018, 44019, 44020?\n\"Answer: g + 44017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + -1)\/((-1)\/5). Let z(s) = -1 - 9*s**3 + v*s**3 + 2*s**2 + 3*s**3. What is z(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27575.\nAnswer: 5, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**(-1)*g*g**(-3\/2)*g*g**8*g**(-11)*g assuming g is positive.\nAnswer: sqrt(g)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 53*b + b**3 - 2 + 55*b**2 + b**4 + 51*b in the form z*b + q*b**3 + u + s*b**2 + l*b**4 and give s.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 334796 - 334796 - 2539*b to t + c*b and give c.\nAnswer: -2539","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/180*-9*(-52)\/1*-1.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 2\/3, -0.3, -1\/11, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 140 and 3710.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 463413314 to the nearest integer?\nAnswer: 774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, s: 5, q: 1}. What is prob of picking 3 e?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -206, -58, 72, 178, 254, 294, 292, 242?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-216)\/135)\/(6*1)*-3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(1\/4))**(6\/19) assuming p is positive.\nAnswer: p**(9\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1297, 1296, 1295?\n\"Answer: -m + 1298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34213615 (base 7) to base 15.\nAnswer: 3dc81a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (61\/671)\/(26*(-12)\/(-1320)*1).\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 2:48 PM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00019529 rounded to five dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/4 (b) 3 (c) 0.3 (d) -5 (e) 7\/4 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4102 and 22512362.\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3*u + 4. Let j be g(3). Which is smaller: -4 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(720) + sqrt(720) + -5 - (sqrt(720) + 2*sqrt(720) + -2)**2) + (2*(sqrt(720)*-1*-4 + sqrt(720)))**2 + 3.\nAnswer: 168*sqrt(5) + 65515","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41622688 to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 5*y**2 + 7*y - 7. Suppose 5*c + c - 18 = 0. What is the remainder when 76 is divided by h(c)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 58612\/((-234)\/27 + 10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2043?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 7:26 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 15. Let u(o) = k - 3*o**2 + 4*o**2 + 0*o**2 + 2*o. Is u(-7) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 66*s**2 - 56*s + 585. Let w be m(-65). Solve 0 = -2*p - 4*k - 14 + 34, 4*p + 4*k - 28 = w for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - -0.098?\nAnswer: -0.302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 696 + -2501. Let o be (1\/(-1))\/((-5)\/w). Let y = o - 379. Round y to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0059626 hours to microseconds.\nAnswer: 21465360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1047.613 * 0.1.\nAnswer: -104.7613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 4.2. Let y = 3 + q. Let l = -0.6 + y. Sort l, -2, -2\/13.\nAnswer: -2, l, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 482694 by -6.\nAnswer: -80449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 293435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-4))\/(14\/(-28)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ieeqe. Give prob of picking 1 i and 1 e.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 68148 and 396.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by 7143672.\nAnswer: 1\/595306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18504462733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 6, 15, -1.\nAnswer: -1, 2, 6, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10549 - -10552. Let v(t) = -3*t**3 + 4*t**2 + 3*t. Determine v(q).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 11:05 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*b**3 - 2*b - 24*b**2 - 7*b**4 - 4*b**3 - 8*b**3 + 17*b**3 + 2 to f + s*b + a*b**2 + h*b**4 + r*b**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -51*h + 50*h. Calculate the remainder when 103 is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*a**2 + a**2 - 2*a**2 - 3*a - 8*a**2 + 3*a + (4*a**2 - 2*a**2 + 0*a**2)*(-3 + 3 - 1) - 4*a**2 + 5*a**2 + a**2.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (20 + -17 + -9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 15*c**3 + 6*c. Let n(f) = f**2 + 9*f**3 - 17*f - f**3 - 18*f**3 - 34*f**3. Let k(p) = 6*n(p) + 17*y(p). Find the third derivative of k(z) wrt z.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*x = -13*x - 54 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1621074?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1161576, -1161547, -1161518, -1161489, -1161460, -1161431?\nAnswer: -1161402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 2:58 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/12 and -41\/14633372.\nAnswer: 43900116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2 + 20189040*t - 25474833507600.\nAnswer: -4*(t - 2523630)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 142, -3, 1, 0, -293, -2.\nAnswer: -293, -3, -2, 0, 1, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -19880 less than 36859.2?\nAnswer: 56739.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 15, 3*z - 5*s + 13 = -0*s. Suppose 0*y + z*y = 28. Let g(l) = 5*l - 9. Does 11 divide g(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 690 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*b**2 + 0*b + 0 - 1\/3*b**5 + 1\/3*b**3 + 0*b**4.\nAnswer: -b**3*(b - 1)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 142*w = -y - 139*w + 113, -221*y - 647 = 5*w for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 42*s**4\/5 + 3264*s**3\/5 + 62946*s**2\/5 - 18252*s\/5.\nAnswer: 6*s*(s + 39)**2*(7*s - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(3009\/2805 - ((-114)\/(-30) - 3)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/((-4)\/(-17 + -3)). Let p(m) = -2 - 4*m - 3 - m. Does 13 divide p(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -168 + 167. Sort v, -3, -21 in increasing order.\nAnswer: -21, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(-2\/7)\/y))\/(y\/(y\/y**(-6\/5)*y)))**(1\/14)\/((y**(2\/7)*y)**(-39))**(-39) assuming y is positive.\nAnswer: y**(-958073\/490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5597684km to meters.\nAnswer: 559.7684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g + 1. Let u = 7 + -11. Let v(x) be the second derivative of x**4\/12 - x**3\/3 + 3*x**2 + 36*x. Determine u*b(f) + v(f).\nAnswer: f**2 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/8232 and -95\/55076?\nAnswer: 2313192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 974.7204m to millimeters.\nAnswer: 974720.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.13 - -0.23. Let p = -0.1 + h. What is the nearest to 1 in 0.1, p, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - -10515098?\nAnswer: 10515095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifteen quarters of a gram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 7) in base 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15c9a4 - 20?\nAnswer: -15c9c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i + 12. Suppose 47 = 3*c - 2*r + 13, -4*c = 4*r - 52. Let t be ((-10)\/15)\/(1\/c). Let u be p(t). Put -5, -22, u in ascending order.\nAnswer: -22, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 11 = 5*r, 5*t = -r + 10. Let y = -10740 - -10744. What is the nearest to t in -0.1, 3\/5, y?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29290 to the power of 1\/2, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2276890323 + 2276892819.998749. Let i = -2497 + f. Round i to 4 dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 10:01 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 6*t**2 + 1. Let x(b) = b**3 + b**2. Let h(f) = m(f) + 4*x(f). Let r(k) = 9*k**3 - 4*k**2 + 1. Calculate -5*h(v) + 3*r(v).\nAnswer: 2*v**3 - 2*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/5 - 57\/15. List the prime factors of (m\/(-5))\/(10\/25).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 15 = -2*v, 4*i = 11*v - 16*v + 5. Sort -12, 8, v in descending order.\nAnswer: 8, v, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17599024679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p. Suppose -40*s = -50*s + 1330. Let j(b) = -760*b + 266. Let k(r) = 23*r - 8. Let i(o) = s*k(o) + 4*j(o). Give q(i(x)).\nAnswer: -19*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*o - 384 = 3*d, -93489*o - 25 - 1 = 5*d - 93494*o + 4 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9079 = -2*m + 3127. What are the prime factors of m?\nAnswer: 17, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**17))\/q**42 assuming q is positive.\nAnswer: q**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -338*t**5 - 3*t**2 - 180*t?\nAnswer: -20280*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1921699039?\nAnswer: 13, 147823003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-6) + 15\/9. Let a(b) = -5*b + 18. What are the prime factors of a(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23089 is divided by 7674?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10824, 9353, 7882, 6411?\nAnswer: 4940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3*z**2 + 2*z + 3. Let g(o) = 215*o**2 - 14*o + 11. Calculate -6*c(h) - g(h).\nAnswer: -197*h**2 + 2*h - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y**2 + 2*y. Let j(s) = 21*s**2 - 10*s - 6. Let g(i) = 20*i**2 - 10*i - 5. Let d(r) = 5*g(r) - 4*j(r). Give 2*d(o) + 11*h(o).\nAnswer: -o**2 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - (1 + 1)) + 2\/2. Let s(p) be the first derivative of -9\/2*p**2 + 5 + p. Calculate s(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 2*t - 632, d - 6*d - 1047 = 3*t. Calculate the remainder when (-12 - (-33 + 3)) + 32 is divided by 12\/10*d\/(-9).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179048?\nAnswer: 2, 22381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - -1. Let w = -17.97 - 0.03. Let h = d - w. Which is the smallest value? (a) -1\/8 (b) h (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42 - 20. Suppose -3*r = -5*b + j, -2*b - 6*r + 14 = -2*r. Suppose -o - 2*u + 30 = -u, -b*u + 86 = 3*o. Does 16 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jgj when three letters picked without replacement from pgniijpgnpjppjpgdd.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 45*(-6)\/(-1170) - (-33263)\/(-377)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.053 * -1.1\nAnswer: -0.0583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 4864670.9?\nAnswer: 4864670.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1916 - -1916. Solve k*y - 13*y = -2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -22, 0 in descending order.\nAnswer: 0, -1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12459, 24921, 37385, 49851, 62319, 74789?\nAnswer: 87261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (104\/(-48))\/(-13)*6. Is k\/((-4 - 2)\/(-24)) - -599 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**3 + v**2 + 7*v + 3. Let r(y) = 11*y**2 + 2*y - 6. Calculate the remainder when r(4) is divided by m(-3).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 165 and 220?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -1\/84*b**8 + 1\/15*b**6 - 70*b**2 + 0*b**3 + 0*b + 0 + 0*b**7 - 1\/6*b**4 + 0*b**5. Let n(h) = 0. Calculate h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181440 = -195*f + 27*f. Is f a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -54 + (153 - (62 - 33)).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjjv when four letters picked without replacement from {h: 2, v: 2, o: 4, j: 8, q: 3, a: 1}?\nAnswer: 28\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5346223 (base 8) to base 13.\nAnswer: -3b0355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/5)\/a*a**(-10)*a*a)\/(a**(-1\/4)\/a)**(-43) assuming a is positive.\nAnswer: a**(-1251\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -26231, 67, -5 in ascending order.\nAnswer: -26231, -5, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -3*m + 4. Suppose 2*i = -8, -2*u - m*i = -3*u + 20. What is the remainder when 33\/3*(-2 + 3) is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166693561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 431634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 444017 is divided by 221332.\nAnswer: 1353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -2\/11*s**5 + 0*s - 4\/11*s**2 + 0 + 4\/11*s**4 + 2\/11*s**3 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/168 and -33\/4.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90\/(-4) - ((-72)\/(-16) + -9).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 45 = -5*v - n, -5*n = 4*v + 5. Let s = 1.9 - -0.1. What is the biggest value in -3\/5, v, s?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 8*j**2 + 2*j - 2. What is the least common multiple of 16 and w(1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 164 - 688. Let w = -544 - q. Let g = -0.02 - -3.02. What is the third smallest value in g, w, 0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 2. Let f be (-22)\/4 + k\/6. What is the units digit of (-9)\/f*(3 + 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -18*((-30)\/12)\/5. List the prime factors of (-3)\/z*-15 + 1213.\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23766 - 25290 = 16352*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 20.2 and -0.4?\nAnswer: 20.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 40*s - 387. What is t(18)?\nAnswer: 333","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 216 + -200. Let r = 50 - 26. What is the highest common divisor of i and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2 = 0, -2*z = 4*g - 9*g + 10. Sort -8, -3, z in ascending order.\nAnswer: -8, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*z - 2*z - z)*((-3 + 5 + 3)*(-2*z + 0*z + z) + 3*z + z - 6*z - 2*z - z + 5*z).\nAnswer: 5*z**2 - 5*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 6*u**2 - 456*u + 4906. Determine h(13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 2:14 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1813, -3513, -5213, -6913?\nAnswer: -8613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -12, 0.12, -0.6, -15, -2\/7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l\/(l**(-1\/5)\/l*l))*l)**12)**(-29) assuming l is positive.\nAnswer: l**(348\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -907, -1802, -2697?\n\"Answer: -895*o - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 2\/59161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aklgy. Give prob of sequence yl.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 0*d + 2*d)*(4131*d + 4188*d - 2951*d + 965*d).\nAnswer: 6333*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 37280819629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-130)\/(-13) - (1 - -7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 39992, 112 in increasing order.\nAnswer: -10, 112, 39992","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4 - 1)*(6*t - 5*t + 9*t + (4*t - 6*t + 5*t)*(10 - 3 - 3) + 4*t + 0 + 0) to k*t + u and give k.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13643 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, o: 15}. Give prob of picking 1 o and 1 t.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 859 and 9.\nAnswer: 7731","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mymmmmxmmmmmm. What is prob of picking 3 m and 1 x?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g - 4. Suppose 4*j - 3*w + 43 = 0, -3*w = -5*j + 2 - 55. Let h be 14\/(-35) + (-44)\/j. What is n(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 6:56 PM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yfenxnf. What is prob of sequence xf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + -4 + (-1 - -4). Let o(i) = -1 - y + 3 + 4 + i. Let x be o(9). What is the highest common factor of x and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11\/7, 0.026, 3.\nAnswer: 0.026, 11\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -7*g. Let y(l) = l**2 + l - 3. Let d be y(-3). Let x(f) = f - d*f - 2*f. What is 3*p(a) - 5*x(a)?\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 6674?\nAnswer: -6674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -2*k. Let z(f) = -f**3 - 3*f**2 - 1. Let u be z(-2). Let d = k - u. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (((-375)\/250)\/(9\/28))\/((-2)\/(-339)). Is -791 at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 - -25. Solve -2*d + q*d = 6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -7.01.\nAnswer: 35.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 111423242503 - 3?\nAnswer: 111423242500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 703 and 8?\nAnswer: 5624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 0 - 2) + 0 + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*(27\/6)\/9. Is -9\/5 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 774828645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1506 and 21470289.\nAnswer: 753","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g**(-1\/2)\/g)\/g*g)\/g)\/g)\/(g\/g**(-3))*(g*g**(-1\/3)*g)\/g**(2\/7) assuming g is positive.\nAnswer: g**(-257\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 16, 91, 2, -1, 6 in increasing order.\nAnswer: -1, 2, 4, 6, 16, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 22*l + 231. What is v(31)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -17497 and 9080?\nAnswer: 26577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) -3.9 (b) 6 (c) -2\/9 (d) 8 (e) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13143*z**3 - 3*z - 13180*z**3 - 2*z**4 - 4 + 2)*(-2 + 4 - 3)*(-3 + 1 + 1) to w*z**3 + b*z**4 + q*z**2 + o + g*z and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 4:58 AM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 111\/24758 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 203, 384, 565, 746?\n\"Answer: 181*m + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 8971285 times -1\nAnswer: -8971285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -151*k**2 + 24*k - 4?\nAnswer: -302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -20012411?\nAnswer: -20012414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 4*b - 86, 40 = 3*u - u + 3*b. What is the smallest common multiple of 20 and u?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 4*c - 26, -7*c - 1455 = -r - 1492 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -17*s**2 + 0 - 1\/60*s**5 + 0*s**4 - 2*s + 2\/3*s**3. Give g(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 8*q**3 + q**2 - 6*q. Let x(l) = 24*l**3 + 3*l**2 - 17*l. Let d(k) = 17*p(k) - 6*x(k). What is the third derivative of d(z) wrt z?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 1:16 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/4 and (-8)\/(5\/((-5)\/14)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - 0. Let h = 8.8 - 8.6. Suppose 6*u - 3*u - 9 = 0. What is the closest to v in u, 1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 12 = -3*s. Let h be (-3)\/((-2)\/s - 1). Calculate the common denominator of 4\/h - (-71)\/(-2) and -11\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, m: 5, u: 1}. What is prob of picking 4 m?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by 118.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 2*w + 14. Let q be o(-5). Let r(z) = -24*z**3 + 2*z**2 + z. What are the prime factors of r(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -4. Suppose 10 = 4*d - 6. Suppose 0*k = -2*k - 5*j - 21, d*j + 18 = -2*k. Sort -8, o, k in decreasing order.\nAnswer: o, k, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 7*g = -2*t - 14, 4*g - 2*t - 16 = 0. Suppose -4*w + 50 = 6*x - 3*x, -g*w - 38 = -3*x. Calculate the highest common divisor of 266 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -248*p - 18513 + 26697 for p.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and -963673994337.\nAnswer: -963673994337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2*s**2 - 2)*(-278*s**2 - 75*s**2 - 38*s**2) to the form g*s**4 + a*s + n*s**3 + r + z*s**2 and give g.\nAnswer: 782","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3512\/285 + 37\/3. Let n = -731 - -515. Let p be n\/96 + -1 + (-27)\/(-12). Is p != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/206995 (b) 2 (c) 0.1 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 8*t + 13*t**2 - 5 - 3 - 4*t**2 - 17*t. Let i be a(-1). Suppose i*c - 223 = -13. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -210100 (base 4) in base 13?\nAnswer: -1096","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-1.3558.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*b - 1120 = 2*g, 5*g = -5*b + 1415. Let c = b - 193. List the prime factors of c.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 - 2)*(1283 - 2615 + 1507)*(0*h - 2*h + h)*(-2 + 2 + 2*h) in the form c + l*h + k*h**2 and give k.\nAnswer: 350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.24, -25, -0.6, 37, 1.1.\nAnswer: -25, -0.6, 0.24, 1.1, 5, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 28\/14*3\/18*4\/((-4)\/(-177))\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4026975 rounded to four decimal places?\nAnswer: 0.4027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 4, 14, -5 in descending order.\nAnswer: 14, 6, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2753 * -3.\nAnswer: 8259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 12*o + 8*o - 2360 = 0, 0 = -g + 5*o - 1166. Let n be (-2)\/2*(-1)\/((-7)\/g). Calculate the greatest common factor of n and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 115459 in -2\/9, 9, 5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.58836 to three decimal places.\nAnswer: -1.588","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 68 + -95. Let q(w) = -w + 26. What is the remainder when 261 is divided by q(o)?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 7*m**2 + m. Let t be l(1). Let c(b) = 0 + 7 + 8*b + 8*b**2 - 2*b - b**3 - 22. What is the remainder when c(t) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 528118590 divided by 7438290\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/12*(-2)\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 5*f - 22, 4*f - 19 - 13 = -4*r. Solve 2*j = f*j + 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*b = -28 + 5, 0 = -2*y + 3*b - 16. Let u be (-1)\/y + (1118\/10 - -4). Let a = -110 + u. Calculate the greatest common factor of 15 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -0*x - 5*c - 3, -4*x - c + 64 = 0. Let y = 1 - -1. Let v(w) = 4*w**3 - w**2 + 2*w + 1. Calculate the remainder when v(y) is divided by x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - -4 - -8 - -5 - -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s + 0*s - 2*s**2 + (s + s - s)*(-2*s - 2 + 2))*((0 + 2 + 1)*(-2 - 1 + 5) + 12 - 18 + 258) as y*s**2 + f + o*s and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 661281 is divided by 165314.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-7)\/r*r**12)**(-1\/3) assuming r is positive.\nAnswer: r**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 2*l**2 - 2*l + 1. Let u be i(2). Let p(a) = -a**3 - 20*a**2 - 20*a - 20. Let k be p(u). What are the prime factors of k - (4*40)\/(-2)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29451, -117355, -263869, -468999, -732751, -1055131, -1436145?\nAnswer: -1875799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1512 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - -60. Is 63 equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -615100 to the nearest 10000.\nAnswer: -620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -88\/62107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1218 - -2268. What is the highest common factor of q and 168?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-6))\/(1\/10) - (571 - 567). What is the fifth smallest value in r, 5, 23, -1, -0.1?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**2 - 4*f - 11. Let j(g) = g**2 + 3. Let n(h) = 4*j(h) + q(h). Let d(v) = v**2 + v - 1. What is -2*d(w) - n(w)?\nAnswer: -4*w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12081.\nAnswer: 3, 4027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + i - 3*i = -142, 4*s - 124 = i. Let q be ((-8)\/10)\/((-6)\/s). Suppose -5*f = -3*g + 836, 0 = -3*g - q*f - f + 886. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2915*g - 111018 - 97865 = -568*g for g.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12008*g + 108 = -11999*g for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - 1. Let t = 0 + -0.1. Let u = -0.9 + t. Which is the third biggest value? (a) d (b) u (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 969.2229l to millilitres.\nAnswer: 969222.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 65 + -59. Suppose z*f - 10*f + 572 = 0. Calculate the remainder when f is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 21 = -6. Let y be k\/(2\/(-8)*-3). Let g be (39\/(-12) - y)*132. Calculate the highest common divisor of 66 and g.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.6688cm to meters.\nAnswer: 0.586688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -0.045, -3\/4?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 46\/(3496\/(-1501)) + 26\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -1279*q**8\/56 - q**4\/2 + 97*q**2\/2 + 3139*q. What is the third derivative of n(f) wrt f?\nAnswer: -153480*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 11:38 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 14*g + 53. Let t(m) = 22*m + 79. Determine -5*t(p) + 8*w(p).\nAnswer: 2*p + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooofhwowwpfofo. What is prob of picking 2 w and 2 o?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 42865987 or -1\/16?\nAnswer: 42865987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 198, 675, 1604, 3135?\nAnswer: 5418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**2 + 241*c - 877. Determine d(-124).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 38081*y**2 - 190383*y - 81. Determine j(5).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/5, 1.1, -3\/86, -0.5, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9169 is divided by 8089?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-967*x**2 + 1830*x**2 - 6 - 942*x**2)*(-x**3 - 1 - 7*x**2 + 7*x**2).\nAnswer: 79*x**5 + 6*x**3 + 79*x**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 31 + ((-246)\/(-63) - (5\/75)\/(63\/(-90)))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) + sqrt(125) + sqrt(125) + -1 + sqrt(125) - sqrt(125)) + (sqrt(5) - sqrt(500)\/sqrt(4) - sqrt(5)) + 4 + (2*sqrt(5))**2*-4 + 5.\nAnswer: -72 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -66 and 10.36618606.\nAnswer: -55.63381394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -h**6\/90 + h**4\/24 - h**3 - 1. Let p(r) be the third derivative of z(r). What is the derivative of p(w) wrt w?\nAnswer: -8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/(9\/1980*10). Calculate the highest common divisor of 165 and m.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-30)*108\/28. Let l = m - 2\/7. What is the nearest to l in -0.4, -4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2160)\/(-25) + ((-8)\/5)\/4. Let b be (-69)\/2*2*-1. Let c = r + b. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) - sqrt(190)*-2*-3)\/(sqrt(10) - (-1*sqrt(90))\/sqrt(9)).\nAnswer: -5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 79.68 to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.31 * 0.04.\nAnswer: 0.0124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -437?\nAnswer: -435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-92)\/276*5\/((-10)\/24)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18872)\/(-20)*1\/(-1744). Let x = -1\/1635 + r. Find the common denominator of 95\/2 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 6*z + 4. Let t be i(3). Suppose t - 8 = h. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3\/10 (b) -17 (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 7, j: 3, x: 2, t: 3}. What is prob of sequence jxtx?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 32274 = 33041. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -813 bigger than -2089?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 70 + 35. Let j = -105 + q. Let f = 48 - 28. Solve j = 5*k + 5*s + f, -k + s - 10 = 5*s for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 16. What are the prime factors of (59 - (2 - -2)) + x?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x\/x**4)\/(x\/(x*x**(-1))))\/(x\/((((x\/x**(2\/5))\/x)\/x)\/x))**(-24))\/(((x*x**(-7))\/x**(3\/7))\/((x\/(x**(1\/2)\/x)*x*x)\/x)**(-2\/25)) assuming x is positive.\nAnswer: x**(2969\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -17258855 equal to -17258855?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, f: 5, e: 1}. What is prob of sequence fxfx?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -2*k + 3, -2*j - 3*j + 5*k - 10 = 0. Let w be -2 - (1*4)\/j. Let t(p) = -1 + 8*p - 8*p - 3*p + 4*p. Determine t(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2308*i - 4*m = 1156*i + 1153*i - 30, -m = -4 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 18\/103, 0.5, -11\/10?\nAnswer: 18\/103","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -354576 divided by 12.\nAnswer: -29548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5*g = -18, 0*h = h - 3*g - 9. Suppose h*x + 6 = 10*x. Is x less than or equal to -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 3. Let v = 19.8 - 18. Let y = -1.3 + v. Which is the third smallest value? (a) s (b) 2\/7 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28994490 a multiple of 2898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -5\/2*g**2 + 7 + 6*g. Let a(x) = 4*x - 5. Let j(k) = 6*a(k) + 5*l(k). Let q(v) = -5*v. Calculate j(q(m)).\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(((y**(2\/35)\/y)\/y)\/y*y))*y**(-15))**(-38))**47 assuming y is positive.\nAnswer: y**(1059098\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + b - b)*(-4*b - 2*b + 4*b)*(0*b**2 + 5*b**2 + b**2)*(6 - b - 6).\nAnswer: -24*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35844, -71709, -107572, -143433, -179292, -215149?\nAnswer: -251004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**3 + 68314*d**2\/3 - 144308*d - 318976\/3 = 0. What is d?\nAnswer: -11392, -2\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.216 + 218.784. Let c = 448 - x. Let s = 229.0000161 - c. What is s rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1132 in 4\/9, 0.3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/112 and 91\/2.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126*7.371.\nAnswer: 928.746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -9*p + 6*p**2 + 0 - 3 + 10*p**3 - 9*p**3. Let q(c) = -6*c**3 - c**2 + c. Let i be q(1). Is x(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 5490 = -5*u, 2*j - u + 5*u = 2190. What is the remainder when j is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -221*q + 2364. What is the remainder when g(10) is divided by 78?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1447.\nAnswer: 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 4*m + 20 = 0, -4*m + 7 = 3*p - 6. Let y be (-78)\/15 + (p + -5 - -3). What is the closest to 2\/3 in y, -6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 6012?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 38 in -1, 0.02, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -15\/29 (b) -1\/10 (c) 0 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -2\/3 (c) 4\/7 (d) -1 (e) 346\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 6*a**2 + 1. Let y be s(-6). Let j = 0 - y. Let u be j\/(-3) - 5940003\/9. Round u to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -413140 by -82628.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 6 + 98\/(-10)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 17. Let r = -15 + v. Solve 0 = l + r*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r - 128 = 11*r + 4*h, -196 = -3*r + 4*h. What are the prime factors of r?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(448) + -1*sqrt(448))*6 - (sqrt(448) + 0 + -2)) + -4)*-1.\nAnswer: 5 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**4 + a**4 + 4 + 0*a**4 + (0*a**2 - 2*a**2 + 3*a**2)*(2*a**2 - 4*a**2 + 0*a**2) to the form s*a**2 + p*a**4 + k + n*a**3 + l*a and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.02919*26\nAnswer: 0.75894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 156 and 4.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -5*v**2 + 2*v - 2. Let m(h) be the third derivative of -h**5\/10 + h**4\/24 - h**3\/3 - 3*h**2. Let s(k) = -5*a(k) + 4*m(k). Determine s(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -90046*5\nAnswer: -450230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 2 (b) -40 (c) 3\/5 (d) 0.5 (e) -507\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 2*u + 0*u - 7 = 0, 3*z - 12 = 3*u for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 6:55 AM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(224)*-1)\/sqrt(7)*-3 + -5).\nAnswer: -12*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3\/5 - 33*l**2\/5 - 15*l - 39\/5.\nAnswer: 3*(l - 13)*(l + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-3)*(-657)\/(-292)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 12:09 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**2\/5 + 69*a\/5 + 154 = 0.\nAnswer: -55, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 20. Let x be 54\/(-5) + 3\/(-15). Let y = a + x. What is the highest common divisor of 63 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19478531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2752 equal to -2757?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1095*g + 1095*g + 9*g**2.\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6.7 and 2.130022553.\nAnswer: 8.830022553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/9 (b) -7 (c) 1\/2 (d) 4.9898\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + d + 1. Let t be r(-3). Suppose 3*j - t = -22. Let n be 7\/21 - 1\/2. Sort j, n, 0.3 in ascending order.\nAnswer: j, n, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (57\/(-2))\/((-1803)\/(-16828)). Put 2, -4, s in increasing order.\nAnswer: s, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in 15, -18, -1\/33, 0.2, -6\/7?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -d**4\/4 - 2*d**3 - 3*d**2\/2 + d + 13. Determine m(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 3*o + 71 = 0, 2*k - 3*o - 55 = -12. Is 3 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -3, 1\/6, 111, -342.\nAnswer: -342, -3, 2\/15, 1\/6, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 11*l**2 + 4*l + 7. Suppose w + 4*b - 13 = 0, -4*w - 5*b + 32 = -8*w. What are the prime factors of i(w)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 175 + -170. Suppose -k = b - g, b + 20*k - 17 = 22*k. Solve -9*l - b = 9 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38670?\nAnswer: 2, 3, 5, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(180) + 2 + sqrt(180))**2)*1.\nAnswer: 48*sqrt(5) + 725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + q**2 + q + 1. Let k be i(-1). Suppose k*s + 19 = s. Suppose 5*t + s - 129 = -5*c, 4*t = 5*c + 70. Is t a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -h**4\/7 + 4*h**3\/7 - 16*h\/7 - 36. Find q, given that d(q) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3, 24, 61, 114, 183, 268, 369?\n\"Answer: 8*u**2 - 3*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 divided by -24790.\nAnswer: -3\/2479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20420512 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 AM and 6:17 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.008 (b) 0.5 (c) -4.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and -115740?\nAnswer: 115739.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 314707 to the nearest integer?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -91224 (base 11) to base 16\nAnswer: -208f8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2*k**3 + 3 - 13*k + 13*k + 26*k in the form p*k + a + q*k**3 + x*k**2 and give p.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1390 and 2202280?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d**3 + 7610095 - 6*d**3 - 7610095 - 6*d**3.\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 518450875\/6656 - 311569\/4. Find the common denominator of 109\/20 and u.\nAnswer: 33280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 5 = g, 8 = -2*b - 0*g + 5*g. Let q = -8457339827\/1808 + 4677732. Let m = 2\/113 + q. Which is smaller: b or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (59\/(-2832))\/(3\/((-27)\/3))\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -3*g + 64. Suppose g*w - 14 = -4*w. Calculate the least common multiple of 92 and w.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of j**6\/6 + 7*j**3\/6 + 317*j**2\/2 - 969*j + 1. Differentiate r(i) with respect to i.\nAnswer: 20*i**3 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 154 and 10238?\nAnswer: 788326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 36\/5*(-28)\/(-448)*-120 - 6. Let w be -4 + 0*1\/(-2). Sort 4, -2, w, q.\nAnswer: q, w, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1963.8 - -1964. What is the smallest value in -4, v, 51?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (4 - (-8 + -4 + 11))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -2\/9, 7, -0.4, -10, -2\/87 in descending order.\nAnswer: 15, 7, -2\/87, -2\/9, -0.4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 578 = -193. Calculate the remainder when s\/4 - (-19)\/(-76) is divided by 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 times -0.4?\nAnswer: -14.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -830220221*n**4 - 1051485668 wrt n?\nAnswer: -3320880884*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1*2*sqrt(225) - (-2*(sqrt(225)*-2 - sqrt(225)) - sqrt(225))))\/((1*sqrt(6480) + sqrt(45))\/(-2*sqrt(18)\/sqrt(2))).\nAnswer: -18*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + 7*h**2 - 9*h + 9. Let r be c(-8). Let n(u) = -3 - u**3 + u + r*u**3 + 0*u - u**2 + 2. What is the units digit of n(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 31, -792, 1\/10, -6, 3?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 72\/1 + -869 + 833\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 4)*(14*a - 35 + 35 + (0 + 2 + 1)*(a + 2 - 2))*(3 - 3 + 3*a) to z*a**2 + t + h*a and give z.\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 12 = -4*d. Calculate the greatest common divisor of 6 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 3*c**2 + 4. Let w be d(3). Suppose -w*n - 200 = -4*u, 4*u + 5*n - n - 224 = 0. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 815937 is divided by 14568.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (3\/4 - (-299)\/1012) + 8\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1892926644.806383 + 5.\nAnswer: -1892926639.806383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91353*q + 4*l = -91366*q + 60, -5*l + 6 = -q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 q when three letters picked without replacement from mlqlqllmmlqql.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 138\/13? (a) -5 (b) -0.2 (c) -6\/1267 (d) 0.3 (e) -3 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - -1) + 3558\/(-1992). Let s be (172\/(-83))\/2 - -1. Let x = s - v. Put x, -3, -3\/2 in increasing order.\nAnswer: -3, -3\/2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**2*a)**(-2\/11)\/(a**(1\/3))**(25\/7))\/(a**2*a**(-8))**20 assuming a is positive.\nAnswer: a**(27277\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -152 (base 6) in base 13?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/10614 and -193\/67860?\nAnswer: 4139460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7126357 and 1342313.\nAnswer: 5761","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 40016*h + 64. Let z be v(-4). Let m be ((-11)\/(165\/z))\/(4\/4650). What is m rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -809, -14, -1.\nAnswer: -809, -14, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-280)\/(-196))\/(8\/(-28))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l + 2. Let c(m) = 1. Let p(z) = -6*c(z) + s(z). Let h be ((-9)\/(-18))\/(2\/8). Let a be h\/3 - 3\/(54\/102). Give p(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 w when three letters picked without replacement from wwwwjjz.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j - 2. Calculate x(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 3*m**2 + 2*m - 1. Let b be (-3 + -4)\/((-1)\/1). Let o = b + -4. Give s(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -60 + -1 + 0 - (10 - (31 + -28 - -6)).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -m + 26. Let c = -1075\/33 - -98\/3. Is c equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 6*j**2 + 14*j + 15. Let n(i) = -i**2. Let o(b) = 5*n(b) + s(b). Let t be o(-13). Solve -2 = t*q + 4 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.5 + 0.42. Let p = 0.04 + z. Which is the closest to 1? (a) -0.2 (b) p (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 15686*z**3 - z**2 + 121*z - 243. Is h(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 5*q - 5. Let g(t) = t**3 - 19*t**2 + 88*t - 48. Let s be g(12). Calculate k(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 4 + -3 + (13 - 14)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28*j**6 + 0*j**6 - 16*j**2 - 8*j**2 wrt j.\nAnswer: -3360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - 19*c**2 + 21*c - 52. Let z be o(18). Let t = -0.27 - -0.97. Let s = t - 0.5. What is the nearest to s in 4\/7, z, 5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -107*s + 2*s**2 - 119*s + s**2 - 68*s in the form i + g*s**2 + h*s and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 7. Suppose 3*a = 4*a + 9. Let q be 34\/6 + s\/a. Which is smaller: q or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1301 - -11?\nAnswer: 1312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -367*m**3 + 246.\nAnswer: -1101*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9394 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -791.53 times 5\nAnswer: -3957.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5346, 5340, 5322, 5286, 5226, 5136, 5010, 4842?\n\"Answer: -a**3 + a + 5346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -43 + 4*n**2 - 81*n + 15 + 14 + n**3 + 16 + 10*n in the form j*n**3 + a*n + s + k*n**2 and give a.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 94746786 a multiple of 172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -22*x**2 - 11*x + 15. Let f be b(4). Let a = 1522 + f. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 39860 or 528?\nAnswer: 39860","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w**2 - 14*w**2 - 15*w**2)*(-1 - 2 - 2) in the form n + c*w**2 + k*w and give c.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 647 = 4*o, -173 = o - 2*o - 5*s. Let u = -93 + o. Suppose -5*l + u = -0*l. Calculate the remainder when 24 is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 6 = 3*z. Let r(n) = n**2 + 4. Let a be r(3). Let d = 1 + 2. Solve -z*i - a = -4*u, -3*i + d*u = u + 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/16)\/(-3*3\/72)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -580*l - 583*l + 1738*l - 580*l.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12056 (base 7) to base 3\nAnswer: 11021212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-19) + (-5280)\/(-1824). Let c(x) be the first derivative of x**3\/3 + 11*x**2\/2 + 14*x - 3. Let y be c(-10). Sort o, y, 1, -2 in increasing order.\nAnswer: -2, 1, o, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -88, 0.1, 9\/7 in decreasing order.\nAnswer: 9\/7, 0.1, -1\/3, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*t + 1 - 1)*(-3 + 2 - 1) + (-6*t + 3*t + 4*t)*(-9 - 11 - 27) as j*t + m and give j.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 1 - 7. Suppose -28 = -q - 5*f, -z*q - 4*f + 9*f - 19 = 0. Solve 3*m = 4*m - u + 6, 4*u - q = -3*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -5902 and 0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -0.9 (c) 0.05 (d) -17\/23 (e) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*r**3 - 3*r**2 - 29*r**3 - 27*r**3 + 3*r**2.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -4. What are the prime factors of 41\/j - (-3)\/(-12)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 782 + -16420\/21. Let v = -0.1 - 0. Which is the second smallest value? (a) v (b) u (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17585403 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16060240, -16060237, -16060232, -16060225, -16060216?\nAnswer: -16060205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1876 and 4378703?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 10:33 PM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 5*z - 66, -3 = -4*z - 11. Let b be 62\/15 - x\/(-285). Let m(s) = -s + 11. Calculate the least common multiple of 5 and m(b).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 756\/(5 + -23) + 52 + -32.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(-3*sqrt(150)) - (sqrt(5) + sqrt(5)*2 + sqrt(5) + 3 - sqrt(35)\/(-2*sqrt(7))))**2.\nAnswer: 137*sqrt(5)\/5 + 20389\/180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 4. Let t be (-2)\/14 - (-1545)\/35. What is the highest common factor of u and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/(-10))\/((-1)\/(-5)). Suppose -1 = -2*h - 11. Suppose 2*z = -2 + 12. Put z, d, h in decreasing order.\nAnswer: z, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 89883.\nAnswer: 719064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 742 - 18*d - 7*d + 87 + 818.\nAnswer: -25*d + 1647","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13897 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*h**4 - 13328*h**3 + 1379348*h**2 - 26164520*h + 5746368 = 0 for h.\nAnswer: 2\/9, 24, 173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 24. Suppose 2*v = -2*m + 20, 2*v + 3*m = z - 0. Suppose 5*s - 5*k = v + 10, 0 = -5*s + 4*k + 15. Which is bigger: s or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/663 and 133\/16614.\nAnswer: 282438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((27\/(-3))\/45)\/(1\/2).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -255, -248, -235, -216, -191?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 874 + -874.2. Let q = -1.1 - -6.1. Let j = 7 - q. Which is the biggest value? (a) u (b) -18 (c) 3\/7 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192*l**2 + 192*l**2 - 491421*l**3 + 121265*l**3.\nAnswer: -370156*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -8. Suppose -5*i = -5*p - 5, -i + n = p - 3. Suppose -j + 36 = p*j. Is 11 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 1\/4 (c) -1\/3 (d) -1\/6 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5 or 5091?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-15)*w**(-1\/16) assuming w is positive.\nAnswer: w**(-241\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 378213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 0.3 (c) -0.3 (d) 2\/5 (e) 7\/2 (f) -5\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*n + 4483 - 13688. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.21 - -553.41. What is j rounded to the nearest 10?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-36)*j**(2\/5) assuming j is positive.\nAnswer: j**(-178\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 2972, -56, 5\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91531 is divided by 30416?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 129? (a) -13.1 (b) 2\/23 (c) 2 (d) 0.3 (e) -1\/10 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3053.51 - -3066. Let t = -12.5 + v. Are t and 2\/19 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43 (base 13) to base 11.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -3*z - 210. Let l be (-4)\/(-18) - z\/18. Factor -2*v - 2*v**l - 2*v**2 + 2*v.\nAnswer: -2*v**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -10*v**3\/3 + 1018*v. Let p(n) = -26*n. Give p(m(a)).\nAnswer: 520*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -f**6\/20 - 3*f**5\/20 + 5*f**2. What is the third derivative of c(j) wrt j?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/342 and 63\/8588.\nAnswer: 77292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 + 6*k + 36.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 13*l**4 + 7*l**3 - 122*l**2 + 128*l - 92. Let q(p) = 12*p**4 + 9*p**3 - 122*p**2 + 129*p - 79. Let j(m) = 3*i(m) - 4*q(m). Factor j(z).\nAnswer: -(z - 2)*(z + 5)*(3*z - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of 2*m + 1\/2*m**2 + 1 + 1\/4*m**4 - 2\/3*m**3. What is the units digit of s(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of 5\/2*b**3 + 11*b + 0*b**2 + 0. Let w(f) = 2*f**2 - 3. Let k(y) = -2*y**2 + 2. Let u(d) = -3*k(d) - 2*w(d). Give u(s(v)).\nAnswer: 450*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 47190 to the nearest 1000.\nAnswer: 47000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-312)\/(-65) + (20\/(-15))\/(2\/6)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17636 is divided by 33?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(12\/11)*h*h**(2\/55)*h assuming h is positive.\nAnswer: h**(172\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 3*b - 20, 3*b - 1015 = -4*c. Let j = -327 + c. Are -71 and j equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -815*z + 814*z + 14 = -3*u, 0 = u + 5*z - 6 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5\/(-4) - (-8349)\/132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**9)\/y)**(-21)*(y**(-10\/11)\/y)**(-2\/57) assuming y is positive.\nAnswer: y**(-39487\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 82\/315 and 31\/28156100.\nAnswer: 253404900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3198\/42 + (-13)\/(-7) + -1. What is the greatest common factor of 2 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qw when two letters picked without replacement from tqtfqvqvwffvdwqqttqv?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -6*t + 376. What is w(56)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 times 37\nAnswer: -2.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*o**2 + 126039021*o + 3*o**2 - 126039021*o.\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-108000)\/(-48000)*(-2)\/(-9)*-5\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**3 + 2*w**3 - 4*w**3 + (w - 2*w + 0*w)*(-2*w**2 - 4*w**2 + 4*w**2) + 4*w**3 - 5*w**3 + 2*w**3)*(w - 4*w + w).\nAnswer: -4*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 9*m + 8 = 0. Suppose -3*g = g + m. Sort g, -2\/7, 2 in descending order.\nAnswer: 2, -2\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 2*q**2 - 7*q + 30630. Let p be m(0). What is p rounded to the nearest one thousand?\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 61, 4 in ascending order.\nAnswer: -2, 4, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + j = -3*j - 15, -2*j + 10 = 2*h. Suppose v + 0*v - 9 = 3*z, -15 = h*v + 5*z. Let c(g) = -2*g**2 + 3*g**2 - g - 4 + v*g**2 - 4*g. Give c(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -9*z - 6*z**2 + 13*z**3 + 6*z**3 - 20*z**3 - 12. Let c be r(-5). Suppose -1 + 5 = 4*p - 4*y, 4*y = -2*p + c. Is p >= 11\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4436 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 84*r + 6. Let l be d(2). Suppose 2*a + l = -348. Let i = -181 - a. Is i a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -600 = -328*d + 304*d. Solve -f + 6*f = d for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/117? (a) 2\/1241 (b) 1 (c) 2\/3 (d) 2 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -56 - (-1906 - -1868).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 - -4244?\nAnswer: 4233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -3\/13327022 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -3*h + 3*n - 1, h = 2*n - 11. Sort h, 6, -1 in increasing order.\nAnswer: h, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -627198\nAnswer: -1\/313599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 208, 421, 634, 847, 1060, 1273?\nAnswer: 1486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -15*z**2. Let k(q) = 4*q. Let y(n) = n**3 - 11*n**2 + 11*n - 5. Let d be y(10). Let l(a) = -a. Let o(i) = d*l(i) + k(i). Give o(t(w)).\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 56*k + 59*k + 4338 = 0, 0 = 4*f + 2*k - 3466. Is 5 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i = -26*i - 3*i. Solve 6*t + 6*t - 48 = i for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 315.113 - 0.113. Let i = 598 - h. Let y = i - 282.99859. Round y to four dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qsqvsqsfvsqxsqsss. Give prob of sequence sq.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (0 - -2) - 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125 - 16*y**5 - 656*y - 772*y**3 + 208*y**4 + 58 + 1136*y**2 - 55 = 0.\nAnswer: 1\/2, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3474 is divided by 158.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 440, 444, 450, 458, 468, 480, 494?\n\"Answer: o**2 + o + 438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - 1 - (-2)\/6. Suppose -4*v = -2*t, -5*t + 6*v = v. Suppose -14 + 46 = 8*h. What is the nearest to -0.1 in t, c, h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -59 or 0.3?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 20. Let u = -121 - -194. Suppose -47 - 12 = -4*p - 3*j, 5*p + 3*j = u. What is the highest common divisor of t and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 6*y**2 + 9*y - 11. Let x be h(7). Solve -r - 1 = -3*u + 1, 4*u - 6 = x*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 79936 and 576?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or -0.0381?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88, 405, 928, 1651, 2568, 3673, 4960, 6423?\nAnswer: 8056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -11010011?\nAnswer: -11010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12317 - -12434. Solve -93*v + q*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 14, 11, -14, -73, -178, -341, -574, -889?\n\"Answer: -2*g**3 + g**2 + 8*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.486 + 0.786. What is the closest to 1.2 in x, 2, -2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**3\/17 + 690*a**2\/17 - 676*a\/17 - 4128\/17 = 0.\nAnswer: -2, 3, 344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 2*u - 10 = 0, -5*m + 3*u + 4 + 3 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of m**5\/60 + m**4\/6 - m**3\/2 + m**2. Let v be 3 - (-162)\/(-24) - 2\/8. Let p(s) = 5*s + 15. Let z be p(v). Give u(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 + -32. Suppose -p - 6 = -0*p. Let k = p - b. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/24 - (-10)\/75*-5. Let k = 0.25 - 3.25. Let f = 3.5 + k. Which is the second biggest value? (a) q (b) f (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-51063.49\nAnswer: -5106.349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7449115 rounded to 2 dps?\nAnswer: 1.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -r**6\/420 - r**5\/105 + r**4\/21 + 8*r**3\/21 + 9*r**2 + 5*r. Let i(a) = 0. What is a?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5136 + -5135.86985. Let z = j + -0.13. Round z to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 14*h**2 + h**2 + 11 - 5 - 8*h**2.\nAnswer: -21*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Solve 127*f - 130*f + 3*v + 3 = 0, f + v = -9 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -25*y**4\/2 - 2*y**3\/3 + 4*y**2 - 13*y - 121. Find the second derivative of o(p) wrt p.\nAnswer: -300*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 938. What is the hundreds digit of v(-53)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25522244 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: In base 10, what is -1785 + 0?\nAnswer: -1785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 divided by -3?\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*g - 35 + 7 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -7*z**2 - 2*z - 1. Calculate c(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6354900?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1090 and 264434.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-123)\/(-82)*(3 - -3).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -26*o**6 - 2*o**3 - 7*o**2 - 21*o. Let w(n) = 2*n**6 - 2*n. Let q(l) = m(l) + 2*w(l). Find the third derivative of q(b) wrt b.\nAnswer: -2640*b**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -322.\nAnswer: -3\/322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 8*a + 7. Let h = 11 - 7. Let x be h*(-12)\/(-16)*3. Is c(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -82*v**3 - 18*v**2 - 13 + 86*v**3 + v + 12 as g*v + k*v**2 + t*v**3 + a and give k.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c - 1. Let f be y(6). Let i(h) = h + 1. Let x(n) = -5*n + 3. Let d(w) = 4*i(w) + x(w). Give d(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -5 (b) 1\/4 (c) -2 (d) -1 (e) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f**2 + 2*f - 1. Suppose -8*u + 4*u = -4. Let y be m(u). Suppose -11 + 3 = -y*o. Solve o*q + q - 6 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52.33314*0.3.\nAnswer: -15.699942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 45229*-8\nAnswer: -361832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 3 = -3*q + 2*o, -2*q = 5*o + 11. Suppose -24 = 4*k - 8, k - 7434 = -q*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1 less than 0.04?\nAnswer: -2.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1490 and 1530.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/11, 11\/4, -5\/4, -95, 3\/4, -2\/11, 1\/319?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-90))\/((-6)\/9)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3814532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 12:52 PM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 33*t**2 + 1. Let b be h(-1). Let u = -22 + b. Suppose -l = -u + 3. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*z**3 - 4521*z**2 - 6*z**3 + 4521*z**2.\nAnswer: 39*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 950.\nAnswer: 2850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-5)\/((-30)\/(-96))*140\/(-8) is divided by 83?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (58\/(-319))\/((-3)\/33)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57389 is divided by 19100.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62640*q = 62635*q + 38*r - 298, 5*q = 4*r - 434 for q.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16\/(-24)*(-3)\/14. Suppose -5*f - 10 = 5*t, 26 = 3*f - f - 4*t. Let j = -2 + f. Which is smaller: j or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 203200 - -113?\nAnswer: 203313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 34?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 153 + -152. Which is bigger: 14\/81 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 45 - 54. Suppose 0 = -12*k + w*k + 12. Solve -4*l - 4*z = -k, -4*l + z = -4 - 5 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9 and 255144.\nAnswer: 2296296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.6 and 607.\nAnswer: 607.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-99 + 1)*(-8)\/16. Let n = -47 + f. Let w be n + -1 - (1*-3 + 0). Solve 1 = -w*z + 9 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 7 - 5 = 0. Suppose -4*a + 60 = c*a. Calculate the lowest common multiple of a and 11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31 not equal to -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 334a?\nAnswer: 3351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*g = 5815 + 535. Which is bigger: -260 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(-15)*1 + (-66556)\/(-27). Let z = o - 2464. What is the common denominator of z and 26\/99?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a second in milliseconds?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 8*u**2 + 27*u + 18. Suppose -21*j = -7*j + 98. What are the prime factors of n(j)?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) 5 (b) -0.1 (c) 0.7 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 833852?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = s + 1 - 0, s - 5*m - 8 = 0. Solve -s*q - 9 = -6*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of -13 + 36178 + -3 + 0\/(-3 - -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 3*s**2 + 4*s + 1. Let v be x(4). Let z = 21\/368 + -113\/368. Sort 5, v, z in descending order.\nAnswer: 5, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 21. Let m be (-18)\/h - 3\/(-6). Let w(j) = 3*j**3 + 3*j**2 - j - 1. What is the tens digit of w(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 12:43 PM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(133)*2 + sqrt(133) + (sqrt(133) - (sqrt(133) - -2*(sqrt(133) + sqrt(133) + sqrt(133)*1))))\/(-2*-4*sqrt(14)\/sqrt(2))*-4*1 + -3.\nAnswer: -3 - sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 885902 and 777908?\nAnswer: 784909172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 1:19 PM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -41\nAnswer: 5\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q**2 + 14*q**2 - 18*q**2 - 70*q**2.\nAnswer: -78*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1327 - 705. Suppose 1892 + m = 6*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*b**2*t - 21*b**2 + 2*b*t - 11*b + 22*t wrt b.\nAnswer: -32*t - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 560 + -559.54. Let z = -0.091 - 0.779. Let d = h - z. Round d to one dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16 + -88a7?\nAnswer: -8891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 7:17 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - (-6)\/(-12))\/((-7)\/(-2)). Suppose 3 - 13 = -5*f. Let t be ((-1)\/(-6)*f)\/(-1). What is the biggest value in l, t, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 111 - -5?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 118*p**2 + 267*p + 3301. Give r(-120).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.2580443 take away 4.6?\nAnswer: -10.8580443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 42 = 4*m, 4*s - m + 4*m - 15 = 0. Let x(f) = 2*f - 1. Determine x(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -528 + 543. Suppose -n - 2*z = -v, 2*n + 5*z - 30 = n. Which is the biggest value? (a) -5 (b) n (c) -2\/21 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - x - 25, 0 = -3*o - 4*x - 35. Sort -4, 1, o.\nAnswer: o, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -575043 divided by -4137.\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from mmmv.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -2. Suppose 3*y + r = 3 - 0, 4*y - 3*r - 17 = w. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 9:03 PM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*g**4*q - 4*g**3*j*q - 2*g**3*q**2 - 3*g**2*j*q + g*j*q**2 - 225*g*q**2 wrt g?\nAnswer: 288*g*q - 24*j*q - 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 5*r - 5*y, 5*y + 7 - 39 = -3*r. Let x(u) = -u**2 + 21*u - 36. Let c be x(r). Factor -3*p**c - 8*p + 4*p**2 - 10*p - 4*p**2 + 21.\nAnswer: -3*(p - 1)*(p + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven eighths of a millennium?\nAnswer: 16500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/5? (a) 0.2 (b) -4 (c) 2\/3 (d) -0.091 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/24)\/((-7)\/(-9))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3605 rounded to the nearest 100?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10110000110101 (base 2) to base 10.\nAnswer: -11317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 999?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 13*y**2 - 6 + 10 to z*y + x*y**2 + c and give x.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155 = 51*z - 100. What is the greatest common factor of z and 125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -14*v**2. Let m(i) = -11122820*i + 2. What is m(c(q))?\nAnswer: 155719480*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of 5*f**4\/4 + 385*f - 1. Let a(h) = 36*h. Determine a(j(v)).\nAnswer: 540*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4627 + -337106?\nAnswer: -332257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -87 + 236. Suppose -5*v + y = 144. Calculate the remainder when (9\/1)\/(-1 - -2) is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*d - 187. Let z(g) = 3*g - 16. Let f be z(7). Suppose -f*r = -0*r - d. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -553380 by -802.\nAnswer: 690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 231712, 926911, 2085596, 3707767?\nAnswer: 5793424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 10*j. Let d(t) be the third derivative of -23*t**4\/4 - t**3\/3 + t**2 + 1308. What is d(k(f))?\nAnswer: -1380*f - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d**3 - 80*d**2 - 35*d + 205. Let s be z(26). Which is greater: 2 or s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrlrggrgrlllg. What is prob of sequence grr?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + 13*c**2 + 11*c - 11. Let y be h(-12). Let b(w) = 7*w**2 - w. Let p be b(y). What is the third derivative of q**5 + 6 - p - 2*q**2 wrt q?\nAnswer: 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2936644 divided by -2\nAnswer: 1468322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 1. Let y(s) = s**3 - 6*s**2 + 11. What is the least common multiple of (-8)\/(-14)*(-49)\/m and y(6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68902906?\nAnswer: 2, 34451453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w - 3. Let x = -151 + 147. Let f(l) = 2*l + 4. Calculate x*o(c) - 3*f(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 342425668?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 + 4631952*p - 78742028.\nAnswer: -4*(p - 1157971)*(p - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -3) + (1 - -7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -1 (c) 3 (d) 2 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 7*g**2 + 9*g - 4. Give z(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3068453 is divided by 109?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2778 + 2780. Let o = 0.3 + -0.2. What is the closest to o in q, -2, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 679 = 5*r + 2*g, -2*r - 274 = -2*g. Let z be -3 - 0 - r\/51. Let c = 0 + -0.4. What is the second biggest value in 0.3, z, c?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 5*y - 3. What is k(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 607.1 + -579. Let q = t + -28.10000294. What is q rounded to 7 decimal places?\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(171)*-1)**2.\nAnswer: -24*sqrt(19) + 187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**3 + 2*g + 0*g**3 - 100*g**4 + 254*g**4 to the form d*g**3 + q + h*g + r*g**2 + k*g**4 and give k.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to 21\/4966?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j**2\/3 - 102*j - 44\/3 = 0. Calculate j.\nAnswer: -1\/7, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**3*w))**(-2\/57)\/(w**(-11)*w**0) assuming w is positive.\nAnswer: w**(635\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 89 - 19. Suppose 4*v = -v + i. What is the remainder when v is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -179.94 - -182. Let s = -19.43 + 18.3. Let v = s - p. What is v rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38664.806 rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -257*m - 11 + 9 + 1.\nAnswer: -257*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*o = 93*o + 5*b + 4, -3*o - 9 = 9*b for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 7*k + 4. Suppose k = -3*u + 8. Let l(h) = 0 - 2 + h**u + 2. Let r(f) = -2*f**2. What is r(l(g))?\nAnswer: -2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 12. Let g(h) = 0*h - 2 - 3*h + 0*h. Is g(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -208 + 212. Suppose l*o = -0*o + 2776. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + 14 - 569*f - 1 in the form r*f + s and give r.\nAnswer: -569","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 696 and 1140.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 537*a**3*c**3 - 1175991*a**3 - 1880*a*c**3 - 5*a wrt c.\nAnswer: 1611*a**3*c**2 - 5640*a*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4119351197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 17*t**2 - 51*t**2 + 12*t**2 + 9*t**2 + 14*t**2. Let o(w) = 0*w**2 + 0*w**2 - w**2. What is o(u(v))?\nAnswer: -v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - m**2 + 37*m + 2. What is the remainder when 146 is divided by q(5)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24\/97 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (2 - 42)\/(-5 + 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of u**3\/3 - 15*u**2\/2 + u. Let s(t) = 5*t - 44. Let g(h) = -3*s(h) + 8*z(h). Calculate g(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2. Let u(l) = -2*l**2. What is u(g(w))?\nAnswer: -2*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 339138729?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + 5*a = 2*h + 50, 2*h - 23 = -5*a. Solve 3*v - v = 3*t - h, 0 = -3*t + 4*v + 15 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 43, 52, 71, 106, 163?\n\"Answer: l**3 - l**2 + 5*l + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -4*x + 63, 3 = x + 4*n - 0. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4 = -0. Let d(s) = 3*s**2 + s. Let z be d(-1). Suppose l*a - 6 = z. Solve -2*o = a*g - 3 - 7, 0 = -5*o + 2*g - 11 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/2)\/(4\/(-12))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14479 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4798 - -4796. What is the smallest value in 0, w, 2, 0.057?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 396 and 4136?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -450*z**2\/13 + 120*z - 104 = 0 for z.\nAnswer: 26\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -19b - c7?\nAnswer: -295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**2 + 0*t**2 - t**2 - t + t**3 + 0*t**2. Let k be c(0). Let f = -46143\/55 - -839. Which is bigger: f or k?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q**3 + 83 - 83.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 1:31 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -96 + 99. Let s(o) = -3*o**2 + 15*o - 9. Let m be s(4). Solve 3*i = -f + j - 4, 5*i - m = 3*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g + 5. Let o be i(0). Let l(u) = 0*u - 4 - u**3 + o*u + 0*u + 2*u**2. Let f = 9 + -6. What is l(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence crvc when four letters picked without replacement from {r: 2, v: 2, c: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3772197784 to the nearest integer?\nAnswer: 1557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 11:59 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 3*h + 112, 4*r - 2*h - 74 = 20. Let i be (-70)\/15 - -6 - 24\/(-9). Put -1, r, i in ascending order.\nAnswer: -1, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-20))\/(((-6)\/(-8))\/1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 2*q - u + 23 + 66, 2*q + 4*u = -56 for q.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 74*u**2 + 18*u**2 + 18*u**2 in the form z + y*u + p*u**2 and give p.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -1. Let c(x) = x. Suppose -5*p + 2*n - 3 = 0, -31*p = -32*p + n. Calculate p*c(t) - 2*v(t).\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**2 + 11360*t + 696632 = 0.\nAnswer: -5618, -62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.074657*70.\nAnswer: -5.22599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lnllllnlnanlnnlnn. What is prob of picking 1 l and 3 n?\nAnswer: 16\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2307?\nAnswer: 3, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 147739.7 rounded to the nearest one thousand?\nAnswer: 148000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -5*w - 40, -259*o - 5 = 5*w - 262*o for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 1)*(21 - 19). Let c be 4 - i - (0 + 0). What is the third derivative of 3*u**3 + u**c + 8*u**2 - 8*u**2 wrt u?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 8*s**2 - 8*s - 5. Let m be r(9). Suppose -3*q - 5*j + 0*j = -752, -1046 = -m*q + 2*j. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 2*j - 6*r - 1 + 27, -5*j = r + 150 - 162 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3817 and 5205?\nAnswer: 57255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - (sqrt(132) - (sqrt(132) - (sqrt(132) - (sqrt(132) + sqrt(132)*-2*-5 + sqrt(132))))) - sqrt(132))\/(sqrt(12)*-1*5))**2.\nAnswer: 1331\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22560 and 9?\nAnswer: 67680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -15783, -15784, -15785, -15786?\n\"Answer: -t - 15782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11.4? (a) 5 (b) -9 (c) -0.5 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -5531\/10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**2 - 86*o. Let u(i) be the first derivative of i**6\/180 - 131*i**3\/3 + 81. Let a(p) be the third derivative of u(p). Calculate h(a(m)).\nAnswer: 8*m**4 - 172*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 129361 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: Which is the third smallest value? (a) -291 (b) -12657 (c) -16\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of 4\/3*m**3 + 3*m**2 + 3 - 1\/3*m**6 - m**4 - 6\/5*m**5 + 2*m. Factor c(l).\nAnswer: -2*(l - 1)*(l + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/4 (b) 3 (c) -2 (d) -6 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14363, -13956, -13557, -13172, -12807, -12468?\nAnswer: -12161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of 3*l**2\/2 - 457. Let h(u) = 6*u**2. Determine t(h(w)).\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -15*u**2 + 14*u + 2. Let x(b) = 14*b**2 - 21*b - 3. Let q(a) = -3*d(a) - 2*x(a). Let i(h) = 0*h**2 - 3*h**2 + 0*h**2. Give q(i(p)).\nAnswer: 153*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1546246 or -1546230?\nAnswer: -1546246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u - 27 = -14*u - 5*g, g = 2*u - 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**2 + 4*u - 26. Let a be n(-5). What is the units digit of (-1 - 82\/a)\/((-41)\/164)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3*2\/3)\/1 - -356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/16*(0 + 0). Suppose -3*y + 2*y + 3 = k. Suppose y*p - 6*p = 0. Solve 25 = 5*g - p*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -149000 to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9520 = 215905*m - 216075*m for m.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - (0 + 2) - 2. Let k be (-1)\/(2\/(-4)) + -4. Let l = 96.05 - 96. What is the second smallest value in k, z, l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-70606)\/(-10) + -2 + 91\/65. Suppose -16*m - 596 = -t. List the prime factors of m.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 559 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -246 + 254. Let h(y) = -y**2 + 8*y - 5. What is h(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 - 10234464*h - 6546515835456.\nAnswer: -4*(h + 1279308)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-22)\/b**(2\/7) assuming b is positive.\nAnswer: b**(-156\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/92 - (-180)\/46*(4 - 3). Solve 3*b = -10 + x for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1240 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1 (b) 0.3 (c) 25 (d) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -105660 greater than -105661?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**5 + 3641*d**4 - 4734*d?\nAnswer: -20*d**3 + 43692*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -45, -3 in descending order.\nAnswer: 19, -3, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/195 and -23\/245544.\nAnswer: 1227720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, -35, -2, 3, 0.122?\nAnswer: 0.122","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56597, -56544, -56491?\nAnswer: -56438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oxmomxmmomxoam. Give prob of sequence xxm.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -s**4\/12 + 198*s + 196. Let t(i) be the first derivative of o(i). Let x(r) = -3*r**2 - 10. Give x(t(m)).\nAnswer: -3*m**4 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16316 + 16914 = 10*q. What is the thousands digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-795)\/(-106) - 5202\/(-4) and 654?\nAnswer: 1308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 295993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/920)\/(1333\/(-127968)).\nAnswer: -12\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1915?\nAnswer: 5, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 4 = -2*l, 6*l - 5*l - 1280 = 3*b - 1282 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*l - 38*l - 18 = -g, 69 = 5*g + 4*l. What is the remainder when 3884 is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*o**2 + 93 + 6*o + 3*o**2 + 4*o**2 - 7*o - 231 to w*o + y + z*o**2 and give y.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1676?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -11*l**2 - 17*l - 17. Let g(f) = 4*f**2 + 6*f + 6. Let x(b) = 17*g(b) + 6*j(b). Let m(h) be the first derivative of h**2 - 1. Give m(x(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f**4 + 4*f**4 - 2*f**5)*(1 - 4 + 1).\nAnswer: 4*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 6:45 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 5*h = -47 + 77, m + 19 = -4*h for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 361 divide 141130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 72728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*m**2 + 2*m - 192 wrt m.\nAnswer: -8*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 v when four letters picked without replacement from vwuuwuwww?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 3:21 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -40455?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 220315132 and 8.\nAnswer: 440630264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5159\/315 - 16) + 6\/(-10).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-48)\/21 + 3)*119\/(-6) and 47\/54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/4 + 952130*x + 3808521\/4.\nAnswer: -(x - 3808521)*(x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, v: 7, g: 1, t: 3, j: 5}. What is prob of sequence tjj?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 21664, 21665, 21666, 21667, 21668, 21669?\n\"Answer: u + 21663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t. Let s be a(4). What are the prime factors of 50\/4 + 2\/s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = 3*g - 3*f, 4*f + 125 = 3*g - 9. Let s = g + -96. Let j be 3\/((-24)\/(-10)) - 9900\/176. Which is smaller: s or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -459*b = -2499 + 3630 + 4836. Let w be (0 + 1)*(0 - -3). Suppose -3*z - m = 40, -4*z - 4*m = -w*z + 28. Which is bigger: b or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3353692 is divided by 11330.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"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: Suppose 0 = -5*p + 12 + 18. Let r(l) be the first derivative of -1\/4*l**4 - 6*l + 0*l**3 - 3*l**2 + 1. Let h(j) = -j - 1. Calculate p*h(s) - r(s).\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3604, -7188, -10770, -14350?\n\"Answer: f**2 - 3587*f - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1857 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/6*(-3)\/(-5). Suppose -6*w - 10 = -8*w. Suppose 21 - w = 4*s. Which is the biggest value? (a) -5 (b) s (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 44. Suppose 0 = -5*i - 2*s + k, i - 6*s - 18 = -s. Let x be 1 + (2 - i\/(-20)*-5). What is the greatest common divisor of x and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236689237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7 + -10 - ((-77)\/14 + 7)*-6. Solve 0 = m - d*o + 3*o - 7, 2*o + 2 = -2*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 7:36 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*t**6 + 131*t**3 - 277*t**2 - 1 wrt t?\nAnswer: 2760*t**3 + 786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -523?\nAnswer: -209.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -116 - (15 - (-36 - -43) - 28)?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 2:25 AM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4408 rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6008800, 12017600, 18026400, 24035200?\n\"Answer: 6008800*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1254493169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**2 - 24*q + 34. Let t be b(11). Suppose 4511 = t*h - 11*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 j when two letters picked without replacement from {t: 9, f: 2, j: 1, s: 6}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -39*k + 10. Let h(q) = -77*q + 18. Give -6*h(m) + 11*n(m).\nAnswer: 33*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 161 + -168.3. Round r to 0 decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z - 7. Suppose 0*n + 4*n = 12. Let a(j) = 2*j**2 + j - 16. Let r be a(n). Let t be 0 + r\/10*-12. Determine g(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 88119*t**4 + 3485*t**3 - t + 143427?\nAnswer: 1057428*t**2 + 20910*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b**3 - 4*b**3 + 17796 - 17796.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 + -22.1. Sort -0.3, -5, c in increasing order.\nAnswer: -5, -0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -9*u - 312 + 624 - 301 - 14*u**2 + 8*u**3. Is j(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1319 - 386*l - 1319 in the form d*l + s and give d.\nAnswer: -386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 3*t - 4*u, 16*u + 6 = 2*t + 17*u. Solve t*k - 18 = -0*k - s, -5*k + 6 = -3*s for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-118)\/59)\/((253\/(-440))\/23).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 5\/46723?\nAnswer: 5\/46723","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-355*v**2 - 161*v - 217*v**2 + 160*v)*(7*v + 5*v - 4*v) to h*v**3 + b*v**2 + c + a*v and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of z**6\/3 + 56*z**4 - z**3\/3 + 140*z**2 - 390. Find the third derivative of x(u) wrt u.\nAnswer: 120*u**2 + 1344","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14884 - -14847. Sort -2\/7, 4, l in decreasing order.\nAnswer: 4, -2\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 7341 = 4*w - 7*w, -v - 1473 = w. Let o = v - -2125. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.155 - 0.0504. Round x to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, -4, 1 in increasing order.\nAnswer: -4, 1, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2860*g - 105971 = 68489 for g.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/34)\/(f\/(f**(2\/15)*f)))\/(f*f**(1\/9)*f*f*f**(-14)) assuming f is positive.\nAnswer: f**(16819\/1530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 29*l**2 - 1808075*l + 318218839 wrt l?\nAnswer: 58*l - 1808075","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q + 5. Let i be ((-1)\/(-2))\/(1\/(-12)). Let h be j(i). Calculate the highest common factor of h and 253.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 59 (b) -3\/4 (c) -1 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, z: 4, m: 1, f: 2, p: 6}. What is prob of picking 2 p?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12461\/117 - 1386\/13. Sort w, -144, 0 in decreasing order.\nAnswer: 0, w, -144","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhshhhshhhshhsshhk. What is prob of sequence hhh?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*n + 132*n**4 - 7 + 7 + 40*n**3 - 134*n**4 - n**2 in the form h + u*n**3 + r*n**4 + w*n**2 + a*n and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -37*k**4\/4 + 18*k**3 + k**2 = 0.\nAnswer: -2\/37, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a. Let g(w) = 159*w**2 - 1. Calculate v(g(f)).\nAnswer: -159*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (((-243)\/96)\/9)\/(6\/4). Are 0 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 200*j + 482*j + 275*j + 77*j - 214*j to a*j + w and give a.\nAnswer: 820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 + 42. Suppose -r = 2*w - 33. Solve -w*v + v = 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*v = 106*v. Put -3, 53, v in decreasing order.\nAnswer: 53, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 23, -17, -119, -277, -485, -737, -1027?\n\"Answer: z**3 - 37*z**2 + 64*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20022 - -12111?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*3*(((sqrt(19) + 4 - sqrt(19)) + -2)**2 + 4).\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 125102503 (base 6) to base 12\nAnswer: 9b7a33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 9763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -17, -19, -21, -23?\n\"Answer: -2*c - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1403230, -4, -2 in decreasing order.\nAnswer: -2, -4, -1403230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 - 28.1. Let u = 0.2 + h. Let k = 2 + -4. Which is the nearest to k? (a) 2\/11 (b) u (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22634222\/265 - -85412. What is the common denominator of r and 7\/5?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -22413 and 0.2?\nAnswer: -4482.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 25 = -0*j - 3*j, 2*z + 11 = 3*j. Let f = z + 4. Solve 2*l + f = -0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 102164 - 102168. Let l = 15 + -14.83. What is the nearest to 0.3 in l, 1\/4, z?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5720687 - -14777.7.\nAnswer: -5705909.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(189) + sqrt(189)*-2)\/(sqrt(7) - (2*sqrt(70))\/sqrt(10)))*3)**2.\nAnswer: -54*sqrt(3) + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -1403?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/((-75)\/84)*5. Let j = 2 - i. Let f = j - -40. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + l = -180. Let b be 1\/(-4) - 5\/l. Let r = -1.8 + 2.8. What is the third smallest value in r, b, 1\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (-44 - -45)*6\/9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/5 (b) -3 (c) 0.1 (d) 128\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 9, q: 1, h: 9}. Give prob of sequence oooh.\nAnswer: 63\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2. Let k(i) = 13*i**2 + 625*i - 625*i. Determine k(p(u)).\nAnswer: 13*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67487, -67489, -67491?\nAnswer: -67493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-5) + (-72)\/(-45). Suppose -c*b - 90 = -3*t - 5*b, t - 10 = 3*b. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*x - 36 = 0, -4*x + 12 = -0*g + 2*g. Let d(c) = 26*c - 2. Let n be d(1). What is the greatest common divisor of g and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 713 in -5, 1, -1\/430, 2\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -17.3 times 1\nAnswer: -17.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -127, 10, -2 in descending order.\nAnswer: 10, 1, -2, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6179250 divided by 41195\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -37502, 1, -1, -12, 2 in increasing order.\nAnswer: -37502, -12, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -76, 3, -1454 in descending order.\nAnswer: 3, 2, 0, -76, -1454","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 252248, 507816, 763384?\nAnswer: 1018952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 o, and 1 u when three letters picked without replacement from {j: 3, o: 1, u: 3, p: 6}?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in thirty-seven fifths of a meter?\nAnswer: 740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -26, 1, 2 in ascending order.\nAnswer: -26, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, -48, -102, -156, -210, -264?\nAnswer: -318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 4*h**2 + h - 7. Determine o(-7).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 4 = -3*k, -37 = -5*k + 2*d - 9. Let w be (6\/4)\/((-2)\/k). Suppose 8 = -4*s - 8. Sort s, 3, -5, w in ascending order.\nAnswer: -5, s, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 0*d - 4*d + (1 + d - 1)*(0 - 2 - 1))*(d**2 + 4*d + d - 6*d).\nAnswer: -5*d**3 + 5*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 170743 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 5*r + 3. Solve -r = -4*s - 3 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-456)\/(-84) - 3\/7. Solve -n*g + 3 = -2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2206*f**2 - 28238*f + 62413690?\nAnswer: -4412*f - 28238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2772*s**2 + 9*s - 3. Let a(n) = -2750*n**2 - 6*n + 2. Calculate 3*a(i) + 2*m(i).\nAnswer: -2706*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 3*o - 2*o)*(2*o - 1 + 1)*(-2 + 6*o + o - 3*o).\nAnswer: -16*o**3 + 8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*b**4 - 18*b**3 - b + 18*b**3 wrt b.\nAnswer: 84*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(1900)*-1)**2 + -3 - (sqrt(1900) + 0 + sqrt(1900) + 3 + 5)) + -5.\nAnswer: -20*sqrt(19) + 1886","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32669\/32 + -1023. What is the common denominator of j and ((-2)\/(-24))\/((-12)\/636)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -262\/10337 or 1?\nAnswer: -262\/10337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((5400\/(-14))\/(-2))\/((-16)\/224). Round b to the nearest one hundred.\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8551065?\nAnswer: 3, 5, 570071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 0. Let p be (-9)\/((-9)\/3) - 2. Let c be 1 - 6\/(-2)*p. Solve n = -c*g + 3 + 5 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 2*b + b)*(-3*b**2 - 1 + 1) - 2*b**3 + 3 - 3 + (-68 + 68 - 5*b)*(3*b**2 - 2*b**2 - 4*b**2) - 2*b**3 + 3*b - 3*b.\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 237042719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 + 19.85. Let t = 0.05 + r. Put 2\/3, t, -4 in increasing order.\nAnswer: -4, t, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7619 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41664 - 1999783\/48. Let i = 56819\/66210 - -3\/17656. Calculate the common denominator of i and x.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 7:42 AM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 17. Which is the smallest value? (a) -1 (b) y (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3739*k - 3731*k + 3*w + 15 = -21, 0 = 5*k - w + 34 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(605) - (-2*sqrt(605) - sqrt(605))*1 - -5*(sqrt(605) + -1))**2 + (sqrt(500) + sqrt(500)*-1 + 0)**2 + -3.\nAnswer: -990*sqrt(5) + 49027","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79, -104, -151, -232, -359, -544, -799?\nAnswer: -1136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000029930575 rounded to 7 dps?\nAnswer: -0.0000299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -402223?\nAnswer: -402230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7\/(28\/192)*2\/3. Suppose 0 = -9*k + 5*k + u. Suppose -k*b - 35 + 315 = 0. Is b a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47863333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -106 + 0*l - 105\/2*l**2 + l**3. Find d such that j(d) = 0.\nAnswer: 0, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 54*m - 182. Is 50 a factor of s(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 72\/(-27)*51\/340. What is the nearest to 1 in l, -4\/5, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 60 - 80. Sort 1, 2, m.\nAnswer: 1, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -456 + 869\/2. Calculate the common denominator of k and 9\/(-12)*(-78)\/(-27).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2622?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20.999953 - 21. What is m rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 44708769 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 231 - 138. Let n(c) = x*c - 18 - 92*c + 5. Let m be 6\/9*(-1 + 10). Give n(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15? (a) 1 (b) 96 (c) -1\/6 (d) 1.54 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214 - 2*j + 392 + 2474 - 594.\nAnswer: -2*j + 2058","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 2*y = 178. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3269*p - 88565 + 84806 = -157402 for p.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -1076346?\nAnswer: 1076347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.54054km to meters.\nAnswer: 11540.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 130*c**2 - 526*c - 14. Give x(4).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n - 8*n = -21940. Let f = n + -3293\/3. Let u = -2 + 1. Which is the nearest to f? (a) -3\/2 (b) 3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 26653315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 458597.8ml to litres.\nAnswer: 458.5978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, l: 1, w: 1}. What is prob of picking 1 h, 1 l, and 1 w?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0\/r)**(2\/19))**(-4\/13) assuming r is positive.\nAnswer: r**(8\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23500989 to the nearest integer?\nAnswer: 4848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 3166996.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 740*i - 1 = 739*i. Solve 3*z - 2*o = -3, z - 2*z = o + i for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 6*w**2 + w + 1. Let c(z) = -5*z - 3. Suppose -11 = 2*n - 5*l, -2*l = 5*n + 20 - 7. Let i be c(n). Let p be (-8)\/i*3\/2. Give d(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1118582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 5 = 5*y, -3*y = 4*h - 2*h - 23. Suppose 2*p = -y - 3. Is p greater than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 490 + -158.\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -252.0156 + 0.0156. Let q = 0.54958 - 0.04958. What is the second biggest value in 1, q, j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0, -22, -29525.7, -6, -3, -5?\nAnswer: -29525.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((66\/(-9))\/(-11))\/(4\/(-18)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 5608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2379*s + 2380*s - 2*o + 50 = 0, -5*o = -2*s - 126 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30*p**2 + 10*p**2 + 97*p**4 - 90*p**4 wrt p.\nAnswer: 168*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/g**(-1\/4))*g)\/(g**11\/g)*g\/(g\/g**(-11))*g**1*g)**(-5\/8) assuming g is positive.\nAnswer: g**(365\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*1\/(-2)*(-2)\/(-30).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 8:11 AM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u = -9*u + g - 12891, 2*g + 12876 = 2*u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -6*g**2 - 3*g + 3. Let h(z) be the first derivative of 5*z**3\/3 + 3*z**2\/2 - 2*z - 9. Let t(y) = 3*h(y) + 2*r(y). Factor t(j).\nAnswer: 3*j*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28579, 29704, 30829, 31954, 33079?\nAnswer: 34204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 463 is divided by 457?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 483 is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -14. Let s(n) be the first derivative of n**3\/3 - 2*n + 1. Give s(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/306999 and 14\/33.\nAnswer: 306999","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 1 - 2*b + 0*b**2 + 6*b**2 - b**2. Let s be k(1). Let f = -63 + 77. Put s, f, -4 in descending order.\nAnswer: f, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from jusjuuusuwu.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of h**6\/960 - h**5\/96 + 7*h**4\/192 - h**3\/16 - 28*h**2 - 1. Determine f so that r(f) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in -0.4, -4, -2\/11, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of -y**4\/12 - y**3\/6 + 2*y**2 - 18*y + 25. Suppose 0 = -4*l - 12, -2*z + 5*l = 3*z - 15. Give i(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 439874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 98 = 3*f, 36 = -5*j + f + 247. Let h = j + -25. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of q**5\/20 - 11*q**4\/12 + 3*q**3\/2 + 3*q**2 + 2*q. Let t be s(10). Sort 0, 0.2, t.\nAnswer: t, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -4*o + 8. Let m(k) = -k + 2. Let p(u) = -c(u) + 3*m(u). Let j(b) = -b**2 + 2*b - 3. Let s be j(3). Let q be p(s). Which is greater: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7 + -11 - 636\/(-158). Let i = -2753\/474 - q. Find the common denominator of i and 9\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4ee (base 15) to base 11.\nAnswer: 932","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23105 is divided by 23077?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12235 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - m + 210 = 4*i, -2*m = -2*i + 112. Suppose -789 = 10*u + 4191. Let p be 4\/(-18) - u\/i. Solve -s + p = f, 13 = 3*f - 2 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i + 2*c - 166 + 152, 0 = 3*i + 23*c + 35 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00730751787 rounded to 4 dps?\nAnswer: 0.0073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -188 - 82*i**4 + 188 - 4*i**4 + 4*i**4 + i**4 + (-2*i**4 - i**4 + 0*i**4)*(-1 - 3 + 5).\nAnswer: -84*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -447*n**2*v**2 + 4*n**2 - 5*n*v + 4*v wrt v.\nAnswer: -894*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1168*f + 1734 wrt f.\nAnswer: -1168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 - 21. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19248.5 rounded to the nearest 100?\nAnswer: 19200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1895 is divided by 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1104 (base 6) to base 9\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 2:53 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 1, -255.\nAnswer: -255, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 332 + 132. Let n = -8414 + 8430. What is the highest common factor of n and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = -4*i + 37 + 44 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6024251 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-185)\/(-4) - 15\/60. Let x = 49 - h. Suppose x*r = -w + 992, 0*r - 3*r + 991 = 2*w. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13735 divided by 27?\nAnswer: 13735\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + f = 4*a, -4 = -4*a - 2*f. Find the second derivative of 4*g - g**3 + g**3 - a*g**4 - 5*g wrt g.\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13281 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2718865 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 13) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of 7*k**4\/6 - 15*k**2\/2 - 11*k. Find the first derivative of w(y) wrt y.\nAnswer: 28*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 832, 1997, 3440, 5095, 6896?\nAnswer: 8777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 141 + -64. Let m = w - -12. Let y = m - 47. Calculate the greatest common divisor of y and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 639862?\nAnswer: 2, 319931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/6621 and 1\/4178679.\nAnswer: 9222344553","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 13693.78499 to the nearest integer.\nAnswer: 13694","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**3 + 0*b**3 - b**3 - b**3 + 0*b**2 + 0*b**2 + (2*b**2 - 3*b**2 + 2*b**2)*(2*b - b - 2*b) - 2*b + 2*b - b**3)*(-13*b - 10*b - 3*b).\nAnswer: 130*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 0*i + 14 = 23*f - 32*f, -2*i = -4*i + 14 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + w + 1 + 0*w**3 + 7*w**3 - 6*w**3. Let g(r) = -6*r**3 + 4*r**2 - 4*r - 4. Give g(a) + 4*o(a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 147 divided by -21?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12*(9\/2)\/(34 + -32) and 90.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 340*j**4*s - 2*j**2*l + j*l*s + j*l + 3*j*s + 153*s wrt j?\nAnswer: 4080*j**2*s - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4298 = 68*v + 97*v - 10073. Calculate the smallest common multiple of 3195 and v.\nAnswer: 22365","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32953\/8 - 4234. Let r = b - -115. What is the closest to -0.1 in 1\/3, r, 1\/26?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -352027*p**5 + 352029*p**5 - 3*p + 9*p + 1 + p**2 - 2 - 2*p**5 + 2 + (0*p**2 - 4*p**2 + 2*p**2)*(p**3 + 2*p**2 - 2*p**2).\nAnswer: -2*p**5 + p**2 + 6*p + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42 + 79. Let q(i) = 26*i**2 - 1. Let m be q(-1). Let z = r - m. Is z a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -149*t**2 + 1 + 21*t**4 - 156*t**2 + t - 153*t**2 + 460*t**2 to w*t**4 + g + v*t + m*t**2 + i*t**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 520128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/7 or -8694\/13?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 40488, 161992, 364514, 648054, 1012612, 1458188, 1984782?\n\"Answer: 40509*r**2 - 23*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 516923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11091 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: Is 1347227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*j**2 - 33*j**2 + 81*j**2 + 11*j - 7*j**2 - 11*j + (2 + 1 - 1)*(2*j**2 + 0*j**2 - j**2) as m*j**2 + y*j + i and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010011011001101100 - -100010110?\nAnswer: 10010011011110000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(200)\/sqrt(4)*6)\/(sqrt(810) - sqrt(810)*-4) + -2.\nAnswer: 2*sqrt(5)\/15 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -k + 4*l - 7*l, 3*k - 4*l = 31. Suppose k*o + 2 - 17 = 0. Suppose -2*w + 150 = o*i - 8, 3*i - 3*w - 168 = 0. Does 21 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 306946893276.\nAnswer: 306946893286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + d + d**2 + 0*d**3 - 2*d. Let j(n) = 4*n**2 - 6*n - 5 - 3*n**3 + 3 - 2*n**3. Let o be (-1 - 1\/2)*(-12)\/18. What is o*j(s) - 4*c(s)?\nAnswer: -s**3 - 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/4 - 29\/(-2). Let f(t) = -t**3 + 14*t**2 + 2*t - 19. Let y be f(14). Suppose 3*n + 2*n + y = 3*d, -5*d = 2*n - 15. Solve 0 = 3*k - n + c for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16589223 is divided by 2190.\nAnswer: 2163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -4.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 398392, 398405, 398442, 398515, 398636, 398817?\n\"Answer: 2*n**3 - n + 398391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -111*q**3 + 37*q**2 + 5. Let g(h) = 55*h**3 - 19*h**2 - 3. Let b(f) = -5*g(f) - 3*z(f). Find the third derivative of b(i) wrt i.\nAnswer: 348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3472?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13587944.166 less than 4.5?\nAnswer: -13587939.666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 163723 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 552 + 66 = 0. Does 8 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 + -190479?\nAnswer: -190468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**5 - 24*i**4 + 63*i**3 - 54*i**2 = 0. Calculate i.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 24, 9, -6?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44) + (((-1*sqrt(176) - sqrt(176)) + sqrt(176))\/sqrt(4) - sqrt(44)))\/sqrt(11))\/(6*sqrt(6)\/sqrt(3)*1).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 56, 118, 184, 254, 328, 406?\n\"Answer: 2*s**2 + 56*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 977 + 2 + (3 - 8). Let x(w) = -h + 8*w + w + w + 936. What is the remainder when x(6) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 48 = -2*b, 4*b - 98 = 3*f - 2. Let c be b\/28 - (-8)\/(-14). Let h be -2 + (8\/6 - 1). Which is smaller: h or c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -59 + 84. Let r be (12\/8)\/((-2)\/(-4)). Solve -r*h - u = 2*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 5*p - 38 = 6*p, -5*p = -3*u + 64. Let s be 2*(1 - u\/4). Let k = s + 15. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 10:24 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 - -49 - (7 + 13 + 19)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -155, 23, 115 in increasing order.\nAnswer: -155, 23, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 4*f - 160 = 0, 0 = -3*k + k - 3*f + 71. Suppose 0 = -8*j + 6*j + k. Suppose -3*n + n + j = 0. Solve -1 = n*d - 6*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1601619.\nAnswer: 3, 37, 47, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m + 1096 - 1100 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1482\/29 - -163574\/3219. Do o and -3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410076 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -307412 and -307412 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8661611 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 30 - 85 - 3 + 14 + 2*r as d*r + f and give f.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 37*k - 17*k - 21*k.\nAnswer: -k - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -123 + 2576564?\nAnswer: 2576441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 2)\/(4 - (-9 - -6))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jujsujuuu. Give prob of sequence ju.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 59 + 5. Let n(d) = d - 14. Let y be n(k). Solve -y*u - 4 = -6*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 3*y - 6, v - 2*y - 4 = 1. Let x(l) = l**3 - 3*l**2 + l + 6. Is x(v) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 54 - 18. Does 18 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 607 is divided by 188?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (18 + -8)) + 9 + (-33 - (25 + -16))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 5*j = 18, 0 = 4*t + 4*j + 2 + 10. Which is greater: t or 3\/25?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = -4*r - u, 2*r - 6*u - 7 - 19 = 0 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -4484.45 to the nearest ten.\nAnswer: -4480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11341 or 11344?\nAnswer: 11341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -84773 divided by 2?\nAnswer: -84773\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 1 = -5*m + s, 3*m - 21 = 5*s. Let p = 6 - 4. Let q be 8\/(p*(0 - -1)). Solve c + m = q for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) 0 (b) 1 (c) 4 (d) 0.009\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 y, 1 m, and 1 x when four letters picked without replacement from ooomommoyoxyryryoyr?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -67\/41 and -2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3203262 and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 962 divided by 26?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -7. What is the second derivative of 0*s**2 - 3*s - p*s**3 + 0*s**2 + 0*s**2 wrt s?\nAnswer: -18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of 3 + 1\/2*d**2 - 3*d. Determine p(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zb when two letters picked without replacement from {y: 2, r: 1, z: 1, b: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 500590584\/37 + -13531370. Let r = l - -1895. Does r = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 612*n + 277*n = -8001 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84 + -15 + 0 + (5 - (6 + 5)).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1319345 + 990655. What is h rounded to the nearest one hundred thousand?\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*h + x, -5*h + 1952*x - 220 = -h + 1980*x for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 1168?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 3 + -2 + (65 - (25 + -15 + 13))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-152)\/(-3600) - (-12)\/(-54) and -21\/20.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -231*b**2 + 1992*b - 20*b**3 + 1990*b + b**4 - 5981*b + 2*b**3 + 1998*b to i*b**4 + s*b**2 + o*b**3 + c + p*b and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**13*w**(3\/5)*w*(w\/((w*w*(w*w*w**(-5\/2))\/w*w)\/w))**40 assuming w is positive.\nAnswer: w**(173\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2 + 4 + (-3 + sqrt(9072) + -3 + sqrt(9072) + sqrt(9072))*-2))**2.\nAnswer: -279936*sqrt(7) + 11768976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 7*v**3 + 132*v**2 + 87*v - 371. Give l(-18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 177 - 527\/3. Factor 0 + x*j**3 + 0*j + 2\/3*j**2 + 2\/3*j**4.\nAnswer: 2*j**2*(j + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 926332, 3705342, 8337024, 14821378, 23158404?\nAnswer: 33348102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -391 - -355. Let c = 37 + u. Calculate the smallest common multiple of c and 213.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169516.\nAnswer: 2, 42379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 112304 + 21340?\nAnswer: 134144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1584\/7 + -226. Which is greater: -4.4 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 336?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 g when two letters picked without replacement from {o: 1, g: 3, s: 6, q: 1, y: 5, v: 1}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 884 and 28.\nAnswer: 6188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5723? (a) -4 (b) 0.4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -0.2 (c) -8 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of k**3\/2 + 3*k**2\/2 + 2*k. Calculate m(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 757 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3197 - -162. Suppose -w = -2*i - 1353. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**3 + 162*f**2 + 15151*f + 43968 = 0. What is f?\nAnswer: -64, -3, 229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggsggsgggg. What is prob of sequence ssg?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8546 - 62*p - 27*p + 93*p.\nAnswer: 4*p - 8546","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 14*p**2 + p + 15. Let v be g(-14). Let z(x) = 2*x**2 - 2*x - 11. Let f be z(0). Let w = f + 13. Solve w*k + v = 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 1358*r - 43467. Give o(32).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*n = 13*n + 56. Find the second derivative of -o**3 + 6*o**3 + 2*o - n + 10*o**3 wrt o.\nAnswer: 90*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 2*p**2 - 3*p + 13. Let f = -42 - -37. Let a be b(f). Suppose a = 4*l - 113. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 3)*2291\/2133*18.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -196064?\nAnswer: 196062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y. Let h(w) = -2*w + 30 - 22 + 7 + 43. Give h(n(m)).\nAnswer: 2*m + 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/(-21)*3*5. Suppose 0 = -w*x - 3 + 23. Find the third derivative of 0*k**2 + 0*k**x - 6*k**4 - 3*k**2 + 8*k**2 wrt k.\nAnswer: -144*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 974909?\nAnswer: 13, 19, 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.13? (a) -5 (b) 0.37 (c) 4 (d) 4\/5 (e) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuvuuuuuuuuuuuvvuvu. Give prob of sequence vuu.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1952 and 219953983.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 5, -0.0033, 3.\nAnswer: -2\/13, -0.0033, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 81 - 80. Sort 4, y, 3 in descending order.\nAnswer: 4, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 141*n**5 - 3*n - 144*n**5 + 17*n + (-4*n**3 + 4*n**3 + n**3)*(n**2 - 3*n**2 + 0*n**2).\nAnswer: -5*n**5 + 14*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42102958 is divided by 7017150.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tawattqtaqwqt. What is prob of picking 1 w and 1 t?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -82, -75, -68, -61, -54, -47?\n\"Answer: 7*d - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1502742 divided by 6?\nAnswer: -250457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 33*y. Let b(z) = -131*z**2 - 6. Let m(q) = 15*q**2 + 2. Let x(h) = 2*b(h) + 6*m(h). Calculate x(i(c)).\nAnswer: -187308*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 903 and 126.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o**2\/5 - 516168*o\/5 + 16651837764\/5 = 0.\nAnswer: 64521","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -5\/6, 22 in descending order.\nAnswer: 22, -2\/11, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*o + o. What is the second derivative of -11*p**2 + p + 2*p - o*p + 4*p**2 wrt p?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21.02 + -24. Let y = -0.02 + q. Let x(n) = -n**2 + 16*n - 4. Let m be x(0). Which is the second biggest value? (a) m (b) -1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -9*c**2 - 18*c + 97. What is y(4)?\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.11 and 0.239925.\nAnswer: 0.349925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zp when two letters picked without replacement from {n: 2, q: 2, z: 3, p: 4, k: 1}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j**2 - 10. Let h be 2 - 2*(-3 - -4). Suppose h = -3*x - 3*n + 3, -5*n = x + 14 + 1. Is k(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -488, 72, 2.\nAnswer: -488, 2, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60107 is divided by 113.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5782 - -5784. Which is the nearest to w? (a) -1\/6 (b) -6\/5 (c) -2 (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -0 - 1. Suppose x - 4 = -f. Is x a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*k - 6 = 0, 4 = 5*m + k - 7. Suppose 4*b + 644 = 5*i - 829, m*i + 4*b - 578 = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.470957 nanometers in millimeters?\nAnswer: 0.000001470957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.33137204 to 4 decimal places.\nAnswer: -1.3314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x = -13*x - 8. Let d be x\/3*-12 + 0. Suppose n - 1 = 2*o - 5, -d = 4*n. Solve o = 3*j + 2*j - 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -612, -12, -22.\nAnswer: -612, -22, -12, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 3*j**5\/5 - 21*j**4\/2 + 69*j**3 - 210*j**2 + 300*j - 3685. Factor a(q).\nAnswer: 3*(q - 5)**2*(q - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5096\/84)\/((4*2\/28)\/((-291)\/679)).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eqq when three letters picked without replacement from qqqqeqqjqqeqqjjj?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.05229 + -0.22605. Round m to three decimal places.\nAnswer: -0.174","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 181170 divided by -12078.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - v - 2*v)*(v**2 - 4 + 4)*(0*v - 7*v + 5*v + (-v - 2 + 2)*(2 - 3 + 2) - 3*v + 2*v + 2*v)*(1 + 2*v - 1).\nAnswer: 8*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - u - 2*u)*(-u**2 + 3*u**2 - u**2) + (-1 + 0 + 3)*(-u - u + 0*u)*(-9*u**2 + 5*u**2 + 0*u**2).\nAnswer: 17*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 32 - 0. Suppose 271 + 665 = z*d. Suppose 19*w = 18*w + d. What are the prime factors of w?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 273*i - 856*i**3 - 281*i**2 - 29*i + 3 + 432*i + 280*i**2 wrt i?\nAnswer: -5136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/9)\/1*52\/(-91).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10975 and -5.\nAnswer: -54875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**5\/5 + 376*x**4 + 439908*x**3\/5 - 893016*x**2\/5 - 1331046*x\/5 = 0.\nAnswer: -471, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/2)*l**(1\/5))\/(l**(1\/4)*l)**(-7) assuming l is positive.\nAnswer: l**(189\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 927542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3\/5 - -1\/10. Let x = 11.95 + -12. Let m = x - 1.95. Which is the second smallest value? (a) t (b) m (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of -d**4\/24 + 3*d**3 + 3*d**2. Let f be b(0). Let y = f + -7. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -57 + -12. Let h = 507 - k. Is 9 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 3*u = -5 - 1, 14 = u + 36 - 3 - 19 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 6 = -4*u, 1 = 2*j - 3*u + 5. Let k(t) = -3*t - 1. Let r(f) = 10*f + 2. Calculate j*r(b) - 7*k(b).\nAnswer: b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**3 - c**2 - 4*c + 7. Let d = -10 - -4. Is y(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -174*r + 10*r**2 + 0*r**2 + 74*r - 8*r**2 + 98.\nAnswer: 2*(r - 49)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 1:56 AM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5*(-1)\/((-5)\/(-5)). What is the tens digit of t + 13\/(52\/1488)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153941*t - 9746 = -153963*t. Calculate the remainder when t is divided by 109.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 881832231 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - 4*c + 3*c)*(3 - 5 + 1)*((-5*c + c + 5*c)*(-4*c + 7*c + 8*c) + 0*c**2 + 6*c**2 + 0*c**2).\nAnswer: -51*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - 3 - (4 - 6 - -13). Is 26 a factor of 26274\/203 + (-8)\/y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26187.138 milliseconds in hours?\nAnswer: 0.007274205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/2329155 and 83\/1239300.\nAnswer: 791912700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 + 14 = 8*u. Let b be (-72)\/22 - u\/((-25)\/5). Which is smaller: b or -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/12 and 63\/5780.\nAnswer: 17340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 870184318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 4*t + 171 = 0, 0 = -2*j - 5*t + 60657 - 60440 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.869845 and -0.02.\nAnswer: -0.0373969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 741680781086+0.24\nAnswer: 741680781086.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 3:19 PM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -96 - -102. Solve -2*c = -2 - y for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44004 (base 7) to base 16.\nAnswer: 2ae4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**3 - 3*m**3 + m**3)*((6*m - 3*m + 4*m)*(3 + 0 - 5) - 2 + 2 - m + (4 - 2 - 1)*(0 + 2*m + 0)).\nAnswer: 65*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -0*q - 2*q + 68, q - 108 = -3*n. Let x = n - 124. Is 23 a factor of (-18)\/(-6) + (2 - x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 14 = 2*z + 6*b, -4*z - 8 = 4*b. Suppose -1 = 2*i - 3*w, z*i = -2*i - 2*w + 45. What is the least common multiple of 1 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*l - 30. Let g(s) = -l + 9 - 1 - 5. Let x = -1 - -7. Let q(y) = -2*y + 8. What is x*g(t) + q(t)?\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -208636526 from -0.6262.\nAnswer: 208636525.3738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -76 - -2374?\nAnswer: 2298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 541227 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -333*x + 169*x = -180*x + 64. Sort -1\/4, x, 765 in increasing order.\nAnswer: -1\/4, x, 765","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1221380156 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12509080 is divided by 2854?\nAnswer: 2852","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -1bcb?\nAnswer: 1c03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 24983861 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 615400 is divided by 122934.\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 91 + -91. Suppose 3*k - 9 = -v. Solve -k = -b + 2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13436*k + 1650*k - 2745*k + 6022*k.\nAnswer: 18363*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 41?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000281268 rounded to five decimal places?\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/3 - 7755946*m\/15 + 620476\/3.\nAnswer: -2*(m + 775595)*(5*m - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40186 - -361091\/9. Let c = 65 + h. Put c, 0.3, -19\/2 in ascending order.\nAnswer: -19\/2, c, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/25, -58548.4, 1\/6 in increasing order.\nAnswer: -58548.4, -2\/25, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 2*q**2 + 7*q + 19. What is d(-5)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -124 - -134. Solve 5*j - o*j = 20 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0187 - -0.0678. Let u = 1.0491 - m. Put 3, 0.4, -2, u in decreasing order.\nAnswer: 3, u, 0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11115370 less than -4826624?\nAnswer: 6288746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 2, 26.88, 88, 2\/7, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**1)**41\/(d*d\/(d\/d**(-1\/3))*d)**(-3\/4))**(-41) assuming d is positive.\nAnswer: d**(-6929\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(198) - 1*sqrt(198))*4)\/(sqrt(4)\/(sqrt(2) + sqrt(2) + (4*(sqrt(2) + (sqrt(2) - sqrt(2)*1)) - sqrt(2) - sqrt(2) - sqrt(2)) + sqrt(2) - sqrt(2))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-12)*k**14*k**(-15)\/(k**(4\/15)\/k))**49 assuming k is positive.\nAnswer: k**(-8281\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 11 - 23. Let j(m) = -m - 1. Let a be j(-1). What is the least common multiple of (a - (-10)\/3)*3 and k?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggjgjglyltygjal. What is prob of sequence tll?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 10*t + 1. Suppose 5*p + 676 = -2614. Let x = 659 + p. Let a(g) = -g + 1. What is x*s(q) - a(q)?\nAnswer: 11*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8.803316 centuries?\nAnswer: 10563.9792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 19*b - 24. Let q be j(-18). Let n(x) = x**3 + 6*x**2 + 2*x + 4. Calculate n(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (439 + 386 - 408)*(-5*p + 4*p - p) as u*p + x and give u.\nAnswer: -834","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*f**3 - 102046*f**2 - 283684 wrt f?\nAnswer: -6*f**2 - 204092*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3.01 + 73.4229\nAnswer: 70.4129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -204 - -231. Let m be 5\/10*(-1 + 35). Let v = y - m. What is the remainder when 14 is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 13 + (12\/3 - 10). Solve 4*j - g*j = -9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/sqrt(5)*2*2.\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -2, -534, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 2*z - 46111 + 13415, 13090 = -2*m - 5*z. Let v = m - -37825. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73286.\nAnswer: 2, 36643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 541\/(-3)*(-1 + -2).\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 502 + -150223?\nAnswer: -147521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 + -24. Let t be (-12)\/16 - -1*(-1)\/b. Sort t, 3, 2 in ascending order.\nAnswer: t, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of 2*k**2 + 0 + 4\/3*k**3 + 1\/3*k**4 + 0*k + 1\/30*k**5. Find r such that n(r) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3925847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-12)*w)\/(w\/((w\/(w\/(w*w\/(w\/(w*w**(-3\/8))))))\/w)*w))\/(w**(-13\/3))**(-7) assuming w is positive.\nAnswer: w**(-1025\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*p**3 + 504*p - 2*p**2 - 5*p**3 - 502*p - 2*p**3 + 170 in the form w*p**3 + l + k*p**2 + f*p and give l.\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.0448*-0.08837\nAnswer: 0.003958976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -165193, -17, 2 in decreasing order.\nAnswer: 2, -2, -17, -165193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 821 = 323. Does 26 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -292*a + 6712. What is r(23)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -85671834, -85671851, -85671878, -85671921, -85671986, -85672079, -85672206?\n\"Answer: -w**3 + w**2 - 13*w - 85671821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 3 + 21. Suppose 0 = -3*u - 9, 4*q = -4*u + h + 8. Suppose q*x = x + 250. Is 10 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125 divided by 118?\nAnswer: 125\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 11*v - 22. Let y be b(-13). What is the first derivative of -12 - 21*u**2 - 3 + 24 - y wrt u?\nAnswer: -42*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000291 rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 take away -1939101?\nAnswer: 1939158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 18048\/64*(70\/525)\/(4\/(-5))\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1000 - -1031. List the prime factors of d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.49 - -0.59. What is the nearest to 2\/3 in -2\/5, j, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 2*g - 4. Suppose 2*m + 6 = -0*m. Let y be h(m). Suppose 3*n = -6, -f + 2 = -5*n - y. Solve f*k = k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 2 - 1)*6. Let q be (a\/8)\/(9\/489). Let l = -41 + q. What is the nearest to -1 in l, 1\/3, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 9. Let g(f) = 2*f**2 + 18. Let a(o) = -3*g(o) + 5*n(o). Suppose -5*s + p + 3 = 0, 3*p = 4*s - 3 - 6. Give a(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53113040 to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 63647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -2*x + 124. Let f = -21 - x. Suppose -r + f = r. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -5 + -62 + (19 - (9 + (-16 - -38)))?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (87\/1)\/(4\/(48\/9)). Let x be z\/36 + 6\/(-27). Let p(a) = -13*a**2 + 5*a - 5. Let l(w) = 7*w**2 - 3*w + 3. Determine x*p(m) + 5*l(m).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 293*i - 96*i + 233*i = -3*o - 5392 - 1497, 2*i + 5*o = 4*i + 17 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34644.31ml to litres.\nAnswer: 34.64431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 791176844?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.23 - 0.53. Suppose -63 = -34*t + 73. Which is the closest to t? (a) 4 (b) v (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1803947596 to the power of 1\/2, to the nearest integer?\nAnswer: 42473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.644 to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g**3 + 47*g**3 - 26*g**3 + 827175191*g - 827175191*g.\nAnswer: 17*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q\/q**(-5)))\/(((q\/q**(-11))\/q)\/q*q) assuming q is positive.\nAnswer: q**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 8 = -3*p - p, -o - 6 = -3*p. Suppose -j + 0*j - 4*i = -4, o = -i. Let u(k) = 5*k**2 + 10*k + 18. What is the lowest common multiple of u(-2) and j?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/(-245))\/(33\/(-22))*(-42)\/4?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*((-40)\/(-50))\/((-2)\/2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**2 + 56*v - 117. Give a(28).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 2.9. Suppose -16*u - 35 = -23*u. What is the nearest to 2 in -3, o, u?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.5851 - -0.5851. Let k(u) = -u + 7. Let a be k(10). Let w = -0.01 + 0.41. What is the closest to j in w, a, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15\/3*(-3)\/(-6)*-2. Let i be (o - 30\/(-12))*8\/(-10). Put i, -1, 3, -21 in descending order.\nAnswer: 3, i, -1, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-14)*(4 + (-25)\/5)\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1015 + -1432. Let z = 412.8 + f. What is z rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 210\/25*7\/(-14) - -5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 12*w + 3 - 27*w + 20*w in the form x + f*w and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4*g**2 + 53*g + 6. Calculate the least common multiple of f(0) and 5418.\nAnswer: 5418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8314.\nAnswer: 2, 4157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2004641294 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 10 + (-6 - 0) + 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -43450 divided by 11\nAnswer: -3950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 9) to base 3\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.3 + 0.3. Let l be (4 + (-9 - -3))\/(6\/(-9)). Let c be (48\/396)\/((-2)\/l). What is the second smallest value in 1\/4, v, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 10 = -3*y, -4*g - 16 = -9*g + 2*y. Let k be (-3)\/(-4) - 2\/(-8). Solve -g*l - k = -13 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3*j + 4 = 0, -j - 4*j = 0. What is the highest common divisor of b and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 4*s**2 + 5012*s = 0.\nAnswer: -1253, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/68035? (a) 8 (b) 1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 26674a?\nAnswer: -266748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 991*a = 1005*a + 70. Sort 4, -29, a in decreasing order.\nAnswer: 4, a, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 18848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 371595 + -46076015\/124. Let x = s - 46\/31. What is the common denominator of x and 83\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4\/(-16) - (-99)\/12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 149, -294, -3 in increasing order.\nAnswer: -294, -3, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -2 + -4 + 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -584230 divided by 5\nAnswer: -116846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1211436 - -97.8833764. Let g = 98 - k. Round g to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1e (base 16) in base 15?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -263*p - 487*p - 6185 + 27935 for p.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1981.356 days in milliseconds?\nAnswer: 171189158400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/5 (b) -6838 (c) 0 (d) -0.1 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, -4, -16, -28, -40, -52?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6525412920.\nAnswer: 2, 3, 5, 13, 464773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 1. Suppose 4*k = 3*z - 4, 5*z - k - 10 = 4*k. Suppose -5*t - 260 = -d, -q*d - 2*d + 976 = -z*t. Round d to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**3)**(-2\/11)\/(((k**(4\/11)*k)\/k)\/(k\/(k*k**(-9)))) assuming k is positive.\nAnswer: k**(87\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15.299751 - 15.3. What is b rounded to 5 decimal places?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*l**4 - 16562*l - 2*l**3 + l**3 + 16558*l to the form v*l + s*l**3 + g + h*l**4 + r*l**2 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33607305.999993 + -33607346. Let p = u - -40. What is p rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 4*i**2 + 13*i + 110. Let h be a(-5). Solve 3*y - h + 73 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2161883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-2 + 3) - (-1 + 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4501564793 to the nearest integer?\nAnswer: 1651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3\/7, -16, -152, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -668 + 1283\/2. Find the common denominator of j and 21\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 z when four letters picked without replacement from {z: 5, w: 7}.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 421878 at most as big as 421859?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -147 - -155. Let d(t) = -13 + a + 2*t - 4*t + 4. Determine d(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u - 3. Let q be k(8). Suppose -2 = -q*f + 23. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k + 18. Let s be t(0). Let o be (s\/12)\/(1\/2). Suppose -q - 13 = -0*r - 2*r, 5*r - 60 = -o*q. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.04 - -0.16. Let p(i) = 5*i**2 + 2*i + 1. Let v be p(-1). Let h be 9 - 8 - 2\/6*v. Which is the closest to w? (a) h (b) 2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nngbbla. Give prob of picking 1 a, 1 g, and 1 n.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1121120 + -10011?\nAnswer: -1201201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a**2 + 9 + 2169*a**2 - 9.\nAnswer: 2164*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26 * -7.5117.\nAnswer: -195.3042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a day in minutes?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1180224 is divided by 58945.\nAnswer: 1324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(704)*-3 + sqrt(704))*-1)**2*-6.\nAnswer: -206976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, d: 1, e: 1, s: 5, z: 1}. Give prob of sequence qs.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**3 - 10*i**2 - 5*i - 30. Calculate the remainder when d(-7) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2. Suppose 70 = 2*k + 5*c, 2*c - 28 = -k + 6. Let m(l) = -l**2 - 63*l + k*l + 33*l. What is m(o(w))?\nAnswer: -w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 59 - 11. Let o be 6 + y\/(-9)*3. What is u in 67*u - 137*u + 75*u + 5*u**o = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*(z\/(z\/((z\/((z\/(z**(-27)\/z)*z)\/z))\/z)))\/z))\/(z*z\/(z\/(z\/z**(-7)*z)))*(z*z**(-17))**(-8) assuming z is positive.\nAnswer: z**148","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1078 + -1071. Suppose 2*l - 3 = -3*q - 2*l, 5*l - 5 = -4*q. Suppose 0 = -2*c + 6 - 2. Solve u = -i + x, c*u - 18 = -q*i + i for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 22760424.\nAnswer: 113802120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 59\/5480 or 2\/3?\nAnswer: 59\/5480","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 216 and 360.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -41 and -341532\/8299 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 3*d**2 + 23*d + 14. Give x(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -26587 (b) -1\/6 (c) -1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233 is divided by 203.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -7*w. Suppose -2*q + r + 123 = 0, 4*q + 4*r - 3*r - 237 = w. Suppose d + q = 5*d. Calculate the remainder when 44 is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 - -11. Let z be 0 + -7 + (g - -21). Let r be ((-2)\/z)\/(1\/(-3)). Is -11 greater than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 197 - 197. Which is bigger: n or 14\/13?\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 0.3 (c) -46808235\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 4.6. Which is the second smallest value? (a) -2\/3 (b) x (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 258*j - 3844. Suppose -5*w = -s + 24, 3*s + w = 16 - 8. Let d(m) = -256*m + 3844. Let y(g) = s*z(g) + 5*d(g). Factor y(k).\nAnswer: 4*(k - 31)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-260)\/(-195)*6\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*c + 0*c + 0*c)*(15 + 13 + 17)*(-4 + 4 + 1 - c) as s + k*c**2 + o*c and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1810 is divided by 121?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 1. Suppose -b*x = 2*x - 285. What is the greatest common divisor of x and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**3 + 44832*q**2 - 44835*q = 0 for q.\nAnswer: -14945, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -5*d**2\/2 - 4*d + 10. Calculate the remainder when m(-3) is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51 - 48. What is the remainder when 26 is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14040*c**2 + 6 + 3*c - 2*c + 14038*c**2 - 4*c**3 to the form f*c + r + o*c**3 + y*c**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 70273 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(280) - (sqrt(280)*2 - sqrt(280)))\/sqrt(10) - (sqrt(1008) - 2*sqrt(1008)))\/(sqrt(24)\/sqrt(54) + sqrt(4) + sqrt(36) + 1*sqrt(36)).\nAnswer: 9*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(297)*-1 + (sqrt(66)*-2)\/sqrt(2))\/((-1*sqrt(825))\/sqrt(3)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 978, 701, 428, 159?\n\"Answer: 2*d**2 - 283*d + 1259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**4 - i**3 + 200*i**2 + 358759*i + 3 - 358759*i in the form a*i + d + y*i**3 + k*i**2 + c*i**4 and give k.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7 + 17)\/(2*4\/(-8)). Let o be (-23 - y)\/(0 + 1). Let m(x) = -9*x**2 + 1. Calculate m(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4513 + 7782. What is the thousands digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42036687131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -146423 or -145420?\nAnswer: -145420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12.43 + 12. Let w = 129.27 - 130. Let z = w - l. Which is the biggest value? (a) z (b) 7 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -666975 divided by 7?\nAnswer: -666975\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, b: 6, z: 3, f: 6}. What is prob of sequence bzf?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/15579315 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/1237 - 4958\/6185. Which is the fourth biggest value? (a) 1\/6 (b) -0.08 (c) -10 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -3, -2, -6.\nAnswer: -6, -3, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 5\/6 (c) -28\/9 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 669.7 to the nearest 10.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j**3 + 3031*j**2 + 3842*j - 35595. Calculate v(759).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(14\/(-4) - -2). Put m, 3, 9 in decreasing order.\nAnswer: 9, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/10*2)\/((-3)\/2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -2*x**2\/7 - 1936*x\/7 + 1938\/7 = 0.\nAnswer: -969, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 407 is divided by 76?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.6 - -0.4. Let g = 4.98 - -0.02. Which is the third smallest value? (a) h (b) 3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of j*y**4 + 172634*j*y**2 - 150126*j - y**4 + 78 wrt y?\nAnswer: 4*j*y**3 + 345268*j*y - 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*a**5*w - 50438*a**2*w + 511*a*w + 452*w wrt a.\nAnswer: -60*a**3*w - 100876*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, g: 4, r: 6, v: 4, a: 1}. Give prob of picking 3 v.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*j**3 + 48\/7 - 10*j + 24\/7*j**2.\nAnswer: -2*(j - 8)*(j - 3)*(j - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.015862189653 to three decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/6)\/((-20)\/(-30)). Let s = k - -1. Suppose 2*d + 3*d - t - 72 = 0, 5*d - 5*t - 80 = s. Is d a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**2 - 5*b - 7. Let q be v(6). Let s = -178\/5 + q. Let r = -3.135 - -3.335. What is the biggest value in r, -2\/11, 5, s?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -6*q**5\/5 - 10*q**3\/3 - 7*q**2 + 39. Find the second derivative of o(l) wrt l.\nAnswer: -72*l**2 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001010101010 + 101011110?\nAnswer: 1010000001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of s**6\/360 - s**5\/30 + s**4\/6 - 5*s**3\/3 + 103*s**2. Let n(u) be the second derivative of k(u). What is n(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*7*(-5)\/(-70)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -0.003903 (c) 0 (d) 53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -882988*r + 0*r**2 + 882992*r + 3*r**2 + 0*r**2 + 615.\nAnswer: 3*r**2 + 4*r + 615","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 29*w**2 + 6*w - 23. Let c be x(3). Let t be ((-1)\/1)\/((-8)\/c*4). Let l(z) = 3*z - 20. Give l(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2286*h = -2228*h + 1218 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6027.24 - -6027. Which is the third smallest value? (a) 2\/3 (b) -13 (c) -0.3 (d) -1\/3 (e) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -4*o - 14, o - 4*o + 2*z = 0. Let a be (1\/o)\/(9\/(-36)). What is the units digit of 46 + -6 - (1 - a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a meter in millimeters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/2*(14 + (-152)\/12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2. Let p(u) be the third derivative of 1\/60*u**5 - 40*u**2 + 0*u + 0*u**4 + 0 - 170\/3*u**3. Give j(p(f)).\nAnswer: f**4 - 680*f**2 + 115600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2245\/6 - -374. What is the nearest to 0 in -7\/6, -8, f, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291966 (base 12) in base 11?\nAnswer: 42a4a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l. Let u(m) be the third derivative of -42*m**2 + 0*m**4 + 11\/20*m**5 + 0*m**3 + 0*m + 0. What is u(t(q))?\nAnswer: 132*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3601917 is divided by 420?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-6)\/(-8)) - 248\/(-372).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-3))\/(-5*22\/1155).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -137 - 73*g + 34*g + 40*g + (9*g - 4*g - 9*g)*(2 + 1 - 1).\nAnswer: -7*g - 137","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 5:47 AM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -l**3\/3 + 2*l**2 - l - 1. Suppose 30*p + 105 + 45 = 0. Let v(d) = 2*d**2 - 7*d + 2. Let o(r) = p*h(r) - 3*v(r). Give o(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -1\/337, 0.4?\nAnswer: -1\/337","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 3*g**2 + 3*g + 3. Let d be h(0). Suppose 0 = -4*m - d*i + i + 266, i - 198 = -3*m. What are the prime factors of m?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 times -287223?\nAnswer: 20105.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 9) to base 10\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of r**5\/20 - 17*r**4\/12 + 10*r**3\/3 + 153*r**2\/2 + 187*r. Let t be o(15). Solve t*s - 1 = -13 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -288 + -674?\nAnswer: -92c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*s = 124*s + 627 for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7, -85, -205, -347, -505, -673, -845?\n\"Answer: u**3 - 20*u**2 - 39*u + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1318646.\nAnswer: 2, 7, 131, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 5 + -3 + sqrt(847) - -2*-4*(sqrt(847) + 1*sqrt(847)))**2.\nAnswer: -1980*sqrt(7) + 190611","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-118 - -118) + (-14 - -1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.4 (b) 13 (c) -2\/55 (d) -115\/2 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2412 (base 13) to base 8.\nAnswer: -11735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*y - 8*y - 6*y - 3*y.\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20607743701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of 5*g**4\/12 + g. Let n(c) be the first derivative of c**2\/2 - 7. What is n(v(q))?\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -8. Suppose -17 = -h*g - q, -5*g + 4*q + 49 - 17 = 0. Suppose 48 = 8*s - g*s. What is the smallest common multiple of 2 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*o - 13 = -20*o - c, -4*c = 3*o + 5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 64.211s?\nAnswer: 64211000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 976?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -g**4\/2 + 2*g**2 + 2*g + 3. Let b be 40\/6*189\/252. Let i(t) = -3*t**3 + 5*t + 3. Calculate b*d(s) - 4*i(s).\nAnswer: 2*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21003 (base 4) in base 16?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76798.\nAnswer: 2, 19, 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 408440?\nAnswer: 2, 5, 10211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15054\/403949*(-7)\/1.\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 77 + -77. Suppose 3*z = 4*g + 870, g + 2*g = m. What is z rounded to the nearest 10?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c - 20. What is w(14)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 19*g + 409*g**2 - 411*g**2 - 7*g - 4. Let h be c(6). Put -1, 3, h, 5 in ascending order.\nAnswer: h, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/84 - 94\/(-12). Differentiate 15*m + b*m - 6*m - 22 + 3*m wrt m.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*m + 20. Let p be 3\/(-2)*-1*(-64)\/m. Round p to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {u: 1, e: 3, o: 4, z: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*w + 26. Suppose j - 5*o - 109 = 0, -2*j + 254 = -w*o + 2*o. Let b = j - -36. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 62 + (258\/(-172))\/((-15)\/100). Let m = 4 + 14. What is the greatest common factor of m and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 336255423?\nAnswer: 3, 7, 23, 696181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 10. Let m = 4 + p. Does 3 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 13 = -5*n, -2*i + 14 = -n. Let p(q) = -4*q - i*q + 4*q - q. Let u(d) be the third derivative of -d**4\/12 - d**2. Give u(p(w)).\nAnswer: 14*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73814?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -48593, -48591, -48589, -48587, -48585?\n\"Answer: 2*v - 48595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/12 - (-8)\/(-15))*-1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -39, -92, -159, -240, -335, -444?\nAnswer: -567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) 4 (b) -0.4 (c) -19 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/2160*48)\/(-1*4\/(-30))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -6\/67, 2\/17.\nAnswer: -6\/67, 2\/17, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/6 - 51\/(-9). Suppose -4*n = 2 - x. Let u be 3 - n - (1 - 0). Solve 1 = y - u for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -6*n - 22 - 13 + 3 + 2. Is 6 a factor of q(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 - (12 + (0 - 2)). What is the tens digit of 3861\/52 + k\/(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 2*n + 56 = 0, -3 - 8 = -l + n. Let z = l + -11. Suppose 18669 + 39331 = -z*w. What is w rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -3354?\nAnswer: 3360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -6*h**4\/5 + 22592*h**3 - 22864906*h**2\/5 - 54192504*h\/5 + 46257048\/5 = 0.\nAnswer: -3, 2\/3, 207, 18622","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**2 - 117*o**3 + 918 - 74*o**3 - 921.\nAnswer: -191*o**3 + 2*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 0.8. Let h(f) = -f**3 + 4*f**2 + 5. Let u be h(4). Let t = 3 - u. Which is the second smallest value? (a) z (b) 2\/11 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-123)\/164)\/((-6)\/32)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1239277?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -2\/7, -0.328 in descending order.\nAnswer: -2\/7, -0.328, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/7*u**2 + 0*u**3 + 2\/7 + 2\/7*u**4 + 0*u.\nAnswer: 2*(u - 1)**2*(u + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 9:59 PM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 22 - 127. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 593, 21, -2, 0.08?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = a - 661, 5*a - 3*n = -2*n + 3314. Suppose -11*v + w = -9*v - 1290, -v - 4*w = -a. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -27*y - 86. What is the units digit of c(-18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5 = -2*a + 5*r, -2*a - 2*r = -6. Let d(t) = t**2 - 13 + 2*t + t + 15 + t**a. Is 4 a factor of d(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14+-227400.46\nAnswer: -227386.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) + (sqrt(1872) + -2)**2 + -3)*3 + (((sqrt(117) - sqrt(117)*1) + sqrt(117))*-4 + sqrt(117))\/((sqrt(54)*2)\/sqrt(6)).\nAnswer: -219*sqrt(13)\/2 + 5619","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -4*d**2 - 412*d - 3384 = 0?\nAnswer: -94, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -557795 not equal to -557788?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 15, -2*y = -2*u - 4 - 6. Solve y = -2*l - l - 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -274 + 275. Solve j = -5*u - 14 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ar when two letters picked without replacement from rarrrrpprprrprprrr?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 9:56 PM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 37795795927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 3*v**2 + 16*v - 49. Let i = -24 - -29. What is the remainder when 238 is divided by k(i)?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/sqrt(4)*-3)\/sqrt(2).\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 433710099 to the power of 1\/2, to the nearest integer?\nAnswer: 20826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -164.03 - -164. Sort v, 19, -1 in descending order.\nAnswer: 19, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3*u**2 - 1. Let l(t) = -t**2 + 1. Determine -2*h(o) - 2*l(o).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/1209708 and -11\/73050.\nAnswer: 30242700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -7*2 + (2 - 5) + 6. Let j = l + 11. Solve 3*w + 0*s - 4*s + 5 = 0, j = -w + 4*s + 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/32 (b) -1\/10 (c) -15449 (d) 1\/7 (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 9:58 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 8*v**2 - 25*v - 1316. Determine y(-12).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4*(25\/(-10) + 2). Let q(w) = 22*w - 6*w + 0*w**2 + 7 + 2*w**2 - 12*w. Let r(m) = -m + 1. Give c*r(x) + q(x).\nAnswer: 2*x**2 + 2*x + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that n**2\/2 - 709*n + 1417\/2 = 0.\nAnswer: 1, 1417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 609327?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-15)\/(-1) - 11)*(-19)\/(-2). Suppose -s*o - 8000 = -33*o. What is o rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, b: 2}. Give prob of sequence jbb.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -77*n - 15*n - 104*n - 45*n + 20*n to f + y*n and give y.\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4.588 and -0.292?\nAnswer: 4.296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(24\/20)*-6*79\/(-1106)\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4085416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 199106.9mm?\nAnswer: 199106900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7860, -7493, -6856, -5925, -4676, -3085, -1128, 1219?\nAnswer: 3980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 606?\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 828 and 50367384.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 0.140399.\nAnswer: 0.0140399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4 = y. Suppose 4*w = 4*t - 24, -y*t + t + 4*w + 9 = 0. Find the third derivative of -z**t + 0*z**2 + z**2 + 0*z**5 wrt z.\nAnswer: -60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/167394240 and -97\/19180590.\nAnswer: 1841336640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**6\/(n\/n**10*n)*n*n**5*n*n*n\/(n\/n**(-14)) assuming n is positive.\nAnswer: n**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 51*j + 1. Let q(g) = -1. What is -3*q(z) - 3*t(z)?\nAnswer: -153*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2200.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -10*x**3 + 8*x - 6. Let c(g) be the second derivative of -29*g**5\/20 + 23*g**3\/6 - 17*g**2\/2 + 195*g. Determine -6*c(n) + 17*r(n).\nAnswer: 4*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 - 2) + 3 + 176. What is the third derivative of 374 - 751 + r*h**3 + 18*h**2 + 370 wrt h?\nAnswer: 1092","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -25447, -103949, -235505, -420115?\n\"Answer: -26527*x**2 + 1079*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 8.9 and 3.188.\nAnswer: 12.088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) 7\/13 (c) -2\/5 (d) 0 (e) -4\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 145226 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 10:07 AM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19618, -19588, -19558?\nAnswer: -19528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 2:07 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 1 = 2*z, 3*y + 7 + 23 = 5*z. Let i(p) be the first derivative of -4 + 3 - p**3 + 6*p - z*p - 5. Suppose i(k) = 0. What is k?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in nineteen quarters of a century?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 938766 to the nearest integer?\nAnswer: 969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15000\/29 + 613393\/899. Let r = 165 - x. Let m = -2.03 + 0.03. What is the closest to -1 in -0.3, r, m?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 129, 128, 125, 120, 113, 104?\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -4*s**4\/9 + 5196*s**3 + 1034228*s**2\/3 + 13688564*s\/9 - 13387304\/3 = 0.\nAnswer: -61, -7, 2, 11757","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 381 = 4*y, -2*k + 4*k = -2*y + 208. Is y a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -1, -4.\nAnswer: -4, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6705609 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - n**2 - 6*n - 8. Give v(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 5 = -3*c + 10, 2*y = 5*c - 19. Let h(g) = -2 - 3 - 43*g + 50*g. Let x(o) = 3*o - 2. Calculate y*h(i) + 5*x(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1240, 1767, 2284, 2785, 3264, 3715?\nAnswer: 4132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3200)*2)\/sqrt(10).\nAnswer: 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h + 31. Let p be n(-16). Calculate the remainder when 105 is divided by ((1\/p)\/3)\/(15\/(-1260)).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fp when two letters picked without replacement from fpjjjjjfjzzzjjfzzzj?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 v when two letters picked without replacement from {t: 6, b: 4, v: 4, r: 3, m: 3}.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/2*57*104\/8892?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 768*b**2*g + b**2 - 6427*b*g - 118234811*g wrt b?\nAnswer: 1536*b*g + 2*b - 6427*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 1 + 4304*b + 0 - 4301*b + b**2. Let v(c) = 21*c - 20*c + 0*c**2 + c**2 + 1. Let i be 1\/(0 - 4\/8). Calculate i*l(m) + 4*v(m).\nAnswer: 2*m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -132645, -132637, -132625, -132609, -132589, -132565, -132537?\n\"Answer: 2*b**2 + 2*b - 132649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 540 divided by 9.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*s - 5*f, 9*f - 5*f - 56 = -3*s. List the prime factors of 66\/s - (-1)\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2802685928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18870817, 0, 1 in descending order.\nAnswer: 1, 0, -18870817","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-6*((sqrt(1331) - 1*sqrt(1331)) + 1)**2 + -6*(1 + sqrt(1331)) + (sqrt(1331) - (sqrt(1331)*2 + sqrt(1331))*-4)).\nAnswer: -36 + 231*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(117) + 1) - (sqrt(1872) + ((sqrt(1872) - (sqrt(1872) + 0 + sqrt(1872) + sqrt(1872))) + -1)**2)) + -1.\nAnswer: -7492 - 66*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0427 + 0.3117. What is o rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 12:05 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-1)*(4 + -1). Let v = 9 - 7. Differentiate v*g**4 - s*g**4 + 2 - 4 wrt g.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 10, -128, 0, -41?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u - 3 + 3)*((u + 1 - 1)*(4 + 0 + 3)*(-3 + 4 + 0) + (1 + 2 - 1)*(2 - 2 - 2*u) + 2*u - 2*u + u).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 8:11 AM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1154401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of k**3\/3 + 25*k**2\/2 - 10*k. Is x(14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 68887500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 111029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-21))\/((-87)\/21 + 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pxqa when four letters picked without replacement from xxqeaxxexepx.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*d - 3*d + 0*d)*(2*d**4 + 0*d + 0*d) + (d + 0*d + d)*(-d**2 + d**2 - d**4).\nAnswer: 12*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -4251858.05034 and 83.\nAnswer: -4251775.05034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 261564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1082*p - 3604 = -243*p + 4786. Let q = 5 + -7. Let r = -3 - q. Which is smaller: p or r?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*a + 2*a. Let s be a*3\/(-2) + 41. Let t be 1*(-1)\/((-2)\/22). What is the greatest common divisor of s and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -80*b**5 - 280*b**4 + 2755*b**3 - 1135*b**2 - 1100*b - 160 = 0.\nAnswer: -8, -1\/4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of 0*h**4 - h**2 + 0 + 0*h**5 - 1\/30*h**6 - 2\/3*h**3 + 0*h. What is the first derivative of l(b) wrt b?\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.3 and 516.\nAnswer: -670.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + -2*sqrt(112) + sqrt(112) + 3)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 66954 or 66951?\nAnswer: 66954","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 43395 and 15515?\nAnswer: 134654685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-1*sqrt(1216) - sqrt(1216)) + 4)**2 - sqrt(1216)) + (sqrt(1216) - 5*(sqrt(1216) + 1)))*2.\nAnswer: -336*sqrt(19) + 9750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000369291 rounded to seven decimal places?\nAnswer: 0.0000369","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -3, 10, 0 in increasing order.\nAnswer: -4, -3, 0, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -49*u - 2. Let j(d) = -74*d - 1. Let x(w) = -2*j(w) + 3*m(w). Let n = 0 + 4. Suppose -n = -0*z - z. Determine x(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78418549?\nAnswer: 11, 2027, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, t: 3, j: 13}. What is prob of picking 1 v and 1 j?\nAnswer: 13\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a tonne in kilograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 - (21 - (17 - -77)).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 11:30 AM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g - 5*g - 5*g - 6. Let n(i) = 28*i + 23. Let p(j) = -2*n(j) - 9*r(j). Is p(14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(((sqrt(1331) - (2 + sqrt(1331))) + 3 + sqrt(1331) + -1)*6 + 2))**2 + -2.\nAnswer: 264*sqrt(11) + 47918","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 75760 * 15.\nAnswer: 1136400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-9 + -233)*6\/204?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 9*t**2 + 35*t - 35. Calculate q(-8).\nAnswer: -251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 9*t + 10 = 0. Suppose 5*a + 10 = -t. Suppose 0 = -5*v + 3*j + 20, v - 3*j = 5*v - 43. Sort v, 0, a in decreasing order.\nAnswer: v, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pnp when three letters picked without replacement from bwppbbnwwbbpwbpbpp?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**(1\/5))*q**14)**44*(q**(-1\/3))**(31\/3)*(q\/(q*q*(q*q*q\/q**(-2\/3))\/q))**(-5) assuming q is positive.\nAnswer: q**(28786\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0.05, 1\/7, -2\/13, 55433, 1\/3, 0.2, 2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 709927*m - 709927*m - 864 - 10*m**2 + 864.\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 5*o = -2 - 18, 4*o = 3*s + 16. Let d(p) be the second derivative of s*p**2 - 2\/9*p**3 + 0 - p + 1\/6*p**4 - 1\/30*p**5. Factor d(f).\nAnswer: -2*f*(f - 2)*(f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11678364 and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 118184 * -1.9\nAnswer: -224549.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q**28\/q)\/q)**35 assuming q is positive.\nAnswer: q**945","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 185791893?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ci when two letters picked without replacement from {c: 3, q: 1, i: 1, s: 3, d: 1, j: 2}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.98 - -0.18. Let x = m - -2.5. Let g = 5.07 - 0.07. Which is the nearest to -3? (a) g (b) x (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 287496*w - 287412*w - 420 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u - 5*u + 5*u - 2*u + 2*u + 2*u + u + 2 - 2 + (-2 + 5 - 2)*(3 - 3 + u) + u + 0 + 0)*(61*u + 108*u + 62*u).\nAnswer: 2310*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.041779 and 0.7.\nAnswer: 0.741779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2242 = 38*f - 97*f. Which is the closest to 1\/4? (a) -1 (b) f (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23)\/(-4462)*((-36)\/(-21))\/((-325)\/(-35) + -8).\nAnswer: 2\/291","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 x, and 1 o when three letters picked without replacement from xxxosoxs?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 42dbd?\nAnswer: -42dbe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 15) to base 10.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 35 = 145. Suppose 4*b + 4*h + 0*h = w, -3*h = b - 9. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 2. Let -5*z - s + 0 + 0*z**2 + 0 + 7*z**2 = 0. Calculate z.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21116 (base 10) to base 7\nAnswer: -115364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6466 - -12679. Is g a multiple of 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 12:18 AM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 504 and 21434?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*m + 26331 = -25*m - 6501. Is 58 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -32.58681 to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 24\/9*(-39)\/(-26)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5986, -19834, -41540, -71104?\n\"Answer: -3929*r**2 - 2061*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 11*v**2 + 5. Let x be b(11). Suppose 0 = 3*u - 5*a - 27347, 2*u + 2*a - x*a = 18230. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*s**2 + 2*s - 25 - 40 + 15.\nAnswer: 25*s**2 + 2*s - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 - -0.4. Let v = -0.3 + 0.8. What is the nearest to 0 in g, v, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 322 + -319. Suppose z*u - 85 = -14*u. Is u at least 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*g + 1 - 1 + 13*g.\nAnswer: 88*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 27204 - 54?\nAnswer: 27140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - 7*x**2 + x - 3. Let a be w(7). Solve f + 3*f = -a for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**2 + 50694*s + 1720128 = 0.\nAnswer: -16864, -34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - w = -16. Suppose 6*k - w*k = 8. Let d(n) = -n**3 + 5*n**2 - 3*n. Let y be d(k). Put y, -1, -2 in increasing order.\nAnswer: -2, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 4 + 1)*(10 - 4 - 3*m - 8) to o + r*m and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 53591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 - 4*n**2 + 4*n**2 + (-5*n + 3*n + 3*n)*(0*n + 4*n - 2*n) - 2*n**2 + 4*n**2 - n**2)*(2 + 0 + 1).\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14.9128 + -1.6652. What is q rounded to 0 decimal places?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 35188504?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13816721267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4*-5)\/((-6)\/75). Let n = m - 115. Suppose 6*i - n = 3*i. Is 8 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48474331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - m - 4*m + 4 = 0, -3*m = -4*z + 16. Let t(d) = -1 - z - 527*d + 367*d. Is t(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 4:45 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1438.8 + -1437. Let l be 4\/2 + 48\/(-27). Which is the biggest value? (a) l (b) z (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - 1261*s**2 + 0*s + 1260*s**2 + s - 12 - 3*s**4 - 30*s**3 as d + f*s**3 + b*s**4 + x*s + u*s**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q**3 - 16*q**2 + q - 16. Let f(t) = 2*t**3 - 8*t**2 - 8. Let n(p) = 5*f(p) - 3*w(p). What is the remainder when n(-6) is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -7*z**2 + z + 1. Let i = -1511 - -1513. Determine l(i).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -0.4, 2, -2\/19 in descending order.\nAnswer: 11, 2, -2\/19, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 20, 56, 110, 176, 248, 320?\n\"Answer: -d**3 + 15*d**2 - 2*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9080566477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71265, 144428, 217591, 290754, 363917?\nAnswer: 437080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + (-4)\/10 - 32920\/(-50). Suppose -2*t + 100 = -f. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -1, -5\/72, -0.1, 5\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 + 9)*(6*v**2 + 2*v**2 - 5*v**2 + (-2 + 2 - 2*v**2)*(1 + 1 + 0)) to r*v + d*v**2 + z and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -50*a - 2. Let g be k(-3). Suppose 2*o + 2*o = g. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 129*y**3 + 5*y**2 - 10*y + 7. Let r(l) = -129*l**3 - 6*l**2 + 12*l - 7. Determine -6*a(v) - 5*r(v).\nAnswer: -129*v**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*d = -2*c - 103*d + 15, 18 = c - 6*d. Let i(n) be the first derivative of c*n - 17 - 1\/2*n**2. Let g(r) = 62*r. Calculate i(g(m)).\nAnswer: -62*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-0.2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and 2213.\nAnswer: 2213.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -996, -3813, -8500, -15057, -23484, -33781?\n\"Answer: -935*p**2 - 12*p - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2840.65 to the nearest 100.\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2*m**3 - 7290346*m**2 + 29161408*m - 29161416 = 0.\nAnswer: -3645177, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -28913.63906 take away -526?\nAnswer: -28387.63906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1052)\/(-3156) - (64\/(-6))\/(-4)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*m - 104 = 7*m. Solve -2 = 2*h - m for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -4.2, -5, 0.5, 7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 12000 = -0*k. Round k to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -720 - 640. What is the units digit of (f\/(-60))\/((-50)\/54 - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 8071, 798 in ascending order.\nAnswer: 28, 798, 8071","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-43)\/344*0*2\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1377 and 1224?\nAnswer: 11016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 156\/(-26)*3\/6*-17. Let d(r) = 5*r**2 + 31*r - 7. Let w be d(-9). What is the greatest common divisor of w and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -0.1, 26\/11 in decreasing order.\nAnswer: 26\/11, -0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23646466?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rqsq when four letters picked without replacement from aqqaaaqqsqkr.\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 442032204.\nAnswer: 2, 3, 1723, 21379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3379\/28 + -836\/7. What is the second smallest value in -2, o, -0.1, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*n + 3 = 0. Suppose 0 = -37*b + 38*b + 1. Let o be -2 + b - (54\/(-6))\/3. Solve o = -k - n - 2 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*t + 2*d - 11 = -133*t, t - 2*d - 9 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 8:18 AM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x**2 - 71311550*x - 254266858170125 = 0.\nAnswer: -7131155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4404278 a multiple of 691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 37 - 37 - 14*s**2 + (-2*s + 2*s - 3*s)*(s - 5*s + 9*s) as a + z*s + h*s**2 and give h.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -212*d**5 - 8*d**4 - 4 + 195*d**5 + 1 + 10*d**4 + 9*d**2 wrt d?\nAnswer: -1020*d**2 + 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -4 + 38*p + 3 - 25*p - 21*p - p**2. Let x be s(-6). Let v = 13 - 2. What is the greatest common factor of x and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 11*u + 6. Let r be b(6). Let c = r - 51. List the prime factors of c.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 960.5 + -672. Let v = b - 289. Sort v, 5\/4, -12\/11 in decreasing order.\nAnswer: 5\/4, v, -12\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 9*n**5\/8 - 465*n**4\/4 - 7287*n**3\/4 + 5343*n**2\/2 + 4653*n\/8 - 5265\/4 = 0.\nAnswer: -15, -2\/3, 1, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.057 - -0.009. Let s = -2.552 + w. Let y = -7.03 - s. What is y rounded to one decimal place?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60853, 121701, 182549, 243397, 304245?\nAnswer: 365093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -3\/5*k**4 + 1224\/5 + 1227\/5*k**3 - 1221\/5*k**2 - 1227\/5*k = 0.\nAnswer: -1, 1, 408","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1318 + -1298. What is the smallest value in -5, t, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o**2 + 1003*o + 8745. Determine v(-9).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 12*a**3 + 2*a**2 - 5. Let q(f) = f**2 - 5*f + 6. Let g be (-2 - -8*(-3)\/(-6)) + 2. Let x be q(g). List the prime factors of j(x).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 9:11 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000662 rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 8*l + 730. Suppose 71 = -6*h - l. Let u(c) = c**2 + 12*c - 50. Let w be u(-14). Is h greater than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 37, -6\/11, -458?\nAnswer: -458","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 2915 in descending order.\nAnswer: 2915, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 786.6321l?\nAnswer: 786632.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -6*l + 85. Let q be o(12). Suppose -q*x = -4*x - 36. Solve h = -h + x for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 738\/12*(0 + 60\/9).\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 12641293?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64 and 726384.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 2*t + 27 + 23 = 0, 5*p - 6*p - 25 = 3*t for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155087037?\nAnswer: 3, 7, 277, 8887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 120121200 - 3?\nAnswer: 120121131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hqzzhzqqzqhqzhzzrr. What is prob of sequence rrhz?\nAnswer: 7\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 62528 and 153389?\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -498*d + 10948. Calculate f(22).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*a**5 + 33*a**4 - 9720*a**2?\nAnswer: 1200*a**2 + 792*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from aqqpqiaaaaipqaaaq.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 38 and 2.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-5))\/((-6)\/(-15)). Let v(c) = -z - 1 - 1 - 4 + 4*c. Is v(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 128\/160*1391*(-20)\/(-208).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -33*f - 2*i + 110 - 297, -15*f + 249 = -10*f - 6*i for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -21. Suppose -n*t + 132 - 872 = 0. What is t rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -0*b + 6. Suppose 3*j = u + 14, j = -4*u - 5 - 12. Let r = 6 - j. What is the remainder when r is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 - 81 = 31*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 5*t - 270 = 0, 6 = 11*t - 9*t. What is the remainder when 252 is divided by k?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.82 plus 72761?\nAnswer: 72765.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 23*l - 2*k = 642, l - k = 33. Solve -6*h + l*h = 130 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 86, 143, 200?\nAnswer: 257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10421504609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 20 = -5*m. Suppose m*g = -10274 - 3726. Round g to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -68568807 by -2211897.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -2. Suppose 144 = -4*p + 164. Put 2, p, j, -5 in decreasing order.\nAnswer: p, j, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*z - 4*z + 2*z)*((2*z + 2*z - 3*z)*(1 - 2 + 2) - 61*z + 19 + 25*z - 15)*(-z**2 - 11*z + 11*z) as d*z**4 + f*z**3 + k*z + v*z**2 + s and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**3 - 2683*s**2\/3 + 41722*s\/3 + 36635\/3 = 0.\nAnswer: -5\/6, 17, 431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2941 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mzzjzmzjmjjmzzmzmjm. What is prob of sequence zzmz?\nAnswer: 245\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 223820298?\nAnswer: 2, 3, 13, 47, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 2900?\nAnswer: 31900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 3*n - 86 = -74, -4*k + 4*n = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000854899904 to six dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 829? (a) 3\/4 (b) -26.7 (c) -4 (d) 0.3 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r + 16. Let n be g(13). Let p be 9 - (n + -2 + 3). Solve f = -z, -p*f + 9 + 7 = z for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -921, -1840, -2761, -3684, -4609, -5536?\nAnswer: -6465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 291647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 77.4 + -88.4. Which is the closest to -2\/7? (a) 2\/7 (b) t (c) 3\/7 (d) 0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 24315*q + 218828. Determine t(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.95 rounded to 1 decimal place?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of o**4\/4 + 2*o**3 - 5*o**2 - 9*o + 33. Let m be j(-7). Suppose 0 = -16*f + m*f + 2292. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 24*v + 26*v = -38634006, -8*m + 61814415 = -5*v. Round m to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54 + -1 - (-70 + (18 - -71))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by -35.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -19, -22, -13, 14, 65, 146?\nAnswer: 263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2312666379.\nAnswer: 3, 521, 493211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**3 - 2*w + 1. Let l(n) = 3*n**3 + 5*n - 3. Give -6*l(i) - 15*x(i).\nAnswer: 12*i**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = r - 18, -4*s = 23*r + 9 - 748 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 600 + -618. Put 1\/9, 7, c, 1, -0.1 in increasing order.\nAnswer: c, -0.1, 1\/9, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3528 - 3450. Calculate the greatest common factor of 138 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 + 26 - 11 = 3*d for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*1 - 40\/16*-2. Calculate the highest common factor of 5 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -552 or -542?\nAnswer: -542","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 + ((-3)\/6)\/(10\/(-70660)). What is the highest common factor of 49 and l?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11.8 at most 587351?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16828 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 40*i - 3289. Determine o(81).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-4607531.\nAnswer: 9215062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/47, -3, -1\/6, -3\/2, -1\/3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 4*d - 1. Let u = -13 - -11. Calculate h(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 0*i**2 + 2*i**2 + i**2 - 42 + 33*i - 4*i**2. Let d be m(22). What is the greatest common factor of d and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 13 + 29 = -3*i, 2*j - 4*i = -2. Suppose -2341 = j*z + 42659. Round z to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/15*-5)\/(50\/285).\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 1601*k + 3196. Calculate n(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1873428713 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 88\/161 - -4\/161. Which is the second smallest value? (a) 0.5 (b) q (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 129\/2*5\/15*2. Suppose m + 18 = -4*y, 5*y = 5*m + 8 - i. What is the second derivative of 3*u - 45*u**m - u + 46*u**2 wrt u?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35\/6 + 41\/3*c - 25\/6*c**2 + 1\/3*c**3.\nAnswer: (c - 7)*(c - 5)*(2*c - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-9) + (-141)\/27. Is c bigger than 2\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/611145 and 58\/13365?\nAnswer: 6722595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (4081\/(-196) - -16) + 5 and -125\/18.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-123 + 266*m + 123)*(0 - 2*m + 0)*(0 - 2 + 3)*(-1 - 2 + 1) as l*m**2 + h*m + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 33*c**2 + 5004*c - 1118. What is t(56)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, k: 2, q: 1}. What is prob of picking 2 k and 1 q?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - (-34874)\/6 - 8\/6. Suppose -30*p - 804 = -h. Calculate the remainder when p is divided by 45.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/6*-4*33\/(-968)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65639 to the power of 1\/2, to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2827032.\nAnswer: 2, 3, 13, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.01 (b) 77 (c) -17\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*a**2 - 2*a**2 + 0*a**2)*(-1324*a**2 + 1014640 - 1014640).\nAnswer: -10592*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 262*w**2 - 171*w**2 + 258*w**2.\nAnswer: 349*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/12*-58 + (-13945588)\/(-481008)?\nAnswer: -1\/132","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 6:31 AM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 269*l - 274*l = -32879, 0 = -3*w + 2*l + 49290. What is the thousands digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 2726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.49, 0, 30\/29, 9, 0.3, -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**0\/o*o)\/o)**(27\/4)\/(o**(-1\/4))**(-1\/33))**(-1\/42) assuming o is positive.\nAnswer: o**(1\/5544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 331382, 662855, 994342, 1325849, 1657382?\n\"Answer: n**3 + n**2 + 331463*n - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) 6982 (c) 0 (d) 3\/4 (e) 45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 66361*1\/16*106. Let h = y + -435602. Let j = h - 4051. Find the common denominator of j and -75\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7832880, -7832889, -7832920, -7832985, -7833096, -7833265, -7833504?\nAnswer: -7833825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - -8 - (-4 - 12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 18513 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1937.092234 - 1924.89620309. Let l = y + -0.19608391. Let u = l - 12. What is u rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11431 - -26519. Let i = r - 6321. Calculate the remainder when i\/165 + (-4)\/30 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/4 of a tonne in kilograms?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5236.556um in kilometers?\nAnswer: 0.000005236556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60*2007019.\nAnswer: 120421140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56651719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5 = -f, 4*f + 0*v - 32 = 5*v. Suppose 5*r = f*r + 34. Suppose 48 = -9*k + r*k. Calculate the highest common factor of 66 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.234704 millilitres?\nAnswer: 0.006234704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4751 is divided by 144?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - b. Let g(v) = -4*v**2 + v + 2. Let n(f) = -g(f) - 3*q(f). Let s(x) = x**3 + 3*x**2 - 3*x. Let a be s(-4). List the prime factors of n(a).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, -171, -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 11 = -c, c - z - 1 = z. Calculate the remainder when 149 is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -225*d + 362 wrt d?\nAnswer: -225","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/9)\/(9\/18)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 863, 875, 887, 899, 911?\nAnswer: 923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r**3 + r**2 + 6*r**2 + 9*r**2 + 8*r**2.\nAnswer: -7*r**3 + 24*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 + 38. Let u be ((-21)\/(-6))\/((-2)\/(-8)). What is the second derivative of 14*q - u*q**r - 6*q + 4*q wrt q?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -34 - 5. Suppose -3*d - i = 2. List the prime factors of d - -8 - 18\/(-1).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -1\/2*n**2 + 0 + 2*n - 1\/6*n**3. Suppose -3*i - 18 = 4*d - 0*d, 2*d = -5*i - 16. Calculate f(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1260)\/(-231)*(-506)\/(-69).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 8*m**2 + 5*m - 1. Let v be a(7). Let l = -12 - v. Suppose l*q - 52 = -i + 31, 0 = 2*q + 2*i - 50. List the prime factors of q.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -283*g + 2*o + 662 = -282*g, 0 = -3*g + 5*o + 1982. Is g a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, -16, -37, -58, -79?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 1095274 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*y + 25 = 0. Let h = -2 - y. What is the closest to 0 in 3\/7, 5, h?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4329*f + 8633*f - 4394*f - 1.\nAnswer: -90*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of w**4\/24 - w**3\/3 + 3*w**2\/2 + w. Let c(z) be the first derivative of s(z). Suppose -3*b + 6 = -3. What is c(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3 + 1165*u**4 - 587*u**4 - u**5 - 577*u**4.\nAnswer: -u**3*(u - 2)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 13. Let j(w) = w**2 + 2*w - 6. Let v be j(a). Calculate the greatest common factor of v and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 23*l**5 - 453*l - 670. What is the derivative of k(n) wrt n?\nAnswer: 460*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.63 + -0.51. Let x = k + -1.12000872. What is x rounded to six decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 12*v**2 - 3*v - 8. Let u be z(-12). Let g = u - 17. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a meter in centimeters?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2*sqrt(13))**2*1.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 67701aaa + -5?\nAnswer: 67701aa5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 176 - 178. Let i be ((-441)\/(-60))\/((-6)\/(-64)). Let h = 78 - i. Which is bigger: v or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/6*2*3648\/(-152)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/9)\/((-2)\/6). Let k(i) = -i - 3. Let h(y) = 4. Let z(o) = -3. Let u(r) = -2*h(r) - 3*z(r). What is q*k(d) + 3*u(d)?\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 117, 24, -143, -390, -723, -1148, -1671, -2298?\nAnswer: -3035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by -268.\nAnswer: 13\/268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 465721 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 262775500 to the nearest integer?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53 - -56. Let q be (2\/(-28))\/((-2)\/(-12)). Which is the second biggest value? (a) q (b) 2\/7 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhthhhhhhhhhthhhhh. What is prob of sequence tthh?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.1 - 0.1. Let p = 60610\/161 - 64630781\/171787. Let w = 5\/97 - p. Which is the third smallest value? (a) i (b) w (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 3:02 AM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -21 - 123?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.156446ml in litres?\nAnswer: 0.009156446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 33 - 8 = 4*u, 4*g = -2*u - 70. Let p(j) = 3*j**2 - 17*j + 26. Let h(l) = 5*l**2 - 33*l + 51. Let d(i) = -4*h(i) + 7*p(i). Give d(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -171 + 111. Let k(z) = -15*z + 1. Let u be k(5). Calculate the common denominator of -32\/9 and (u\/6)\/(y\/54).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 215*n**3 - 3*n**2 + 2*n - 3. Is p(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*p - 2*t + t, -5 = 5*p - 5*t. Suppose p*d = h - 5, 4 = -3*h - 5*d + 5. Suppose -g = -4*i - 121, -2*i + h = 6. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b - 61*f + 2006 = 3*b + 58*f - 1198, -4*b + 42 = 2*f for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 5*k**2 + 7*k - 8. Let l = 84 + -64. Suppose z = -3*z + 5*s + 14, s - l = -3*z. Calculate q(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/(-6) + (-1)\/(-2). Let s = q + -2. Suppose -2*r + 20 = -s*r. Does 5 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1309073314?\nAnswer: 2, 769, 851153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43192.59 litres?\nAnswer: 43192590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1449244 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 38*r - 33 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 8944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(3\/7)\/g*g\/(g**(1\/3)*g))**(1\/12) assuming g is positive.\nAnswer: g**(-19\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 307952.647 rounded to the nearest 10?\nAnswer: 307950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1.04 - 2.245722931\nAnswer: -3.285722931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 22582.4 and 96.\nAnswer: 2167910.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6496 - 181 - 18 + 2774)*(0*t + 2*t - 3*t).\nAnswer: -9071*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g + 0*g - g**2 + 1 - 8*g + 1. Let n be y(-5). Solve -3*k - n*k = -2*d, -3*d + 3*k - 9 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 111*i - 43*i - 36*i - 28*i. Let v(w) be the first derivative of 4*w**2 + 1. Determine q(v(d)).\nAnswer: 32*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0554324 rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1168a (base 14) to base 16\nAnswer: -a5da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*d + 17 - 17)*(-2 + 3*d + 2)*(-6 + 6 + 2*d) in the form z + x*d**2 + y*d**3 + o*d and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1616 - -3.\nAnswer: 2.8384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -17 (b) 18 (c) -1\/4 (d) 1\/21 (e) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35188 is divided by 1533.\nAnswer: 1462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -95\/632 - -2\/79. Which is the third smallest value? (a) 1 (b) l (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 37, -12, -86, 6 in decreasing order.\nAnswer: 37, 6, 4, 1, -12, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13697?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 9, p: 2, g: 6}. Give prob of sequence gp.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 6*k**2 + 2*k + 12. Let s be c(-6). Suppose s*v = -v - 9. Is (-3)\/(4\/(10644\/v)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**5 + 4*f**5 + 0*f**5)*(-12 - 7 + 13)*(4 - 5 - 1).\nAnswer: 12*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -8*g**3 + 2*g**2 + 10*g - 10. Let w(p) = 7*p**3 - 2*p**2 - 9*p + 9. Let m(s) = -6*j(s) - 7*w(s). Determine m(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0363287 to three decimal places.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/54*140\/(-35)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {w: 11, h: 5}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 1010001001?\nAnswer: -1010001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6346 = -213*f + 46*f for f.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -348, 100 in decreasing order.\nAnswer: 100, -1, -5, -348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of 27\/10*x**2 + 1\/20*x**4 - 27\/5*x - 3\/5*x**3 - 68. Factor w(k).\nAnswer: (k - 3)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.045 - -40.955. Let s = o - 42. Sort s, 0.06, -2\/5, -3.\nAnswer: -3, s, -2\/5, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -69, -128, -183, -234, -281?\n\"Answer: 2*o**2 - 65*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1231614, -2463215, -3694814, -4926411, -6158006, -7389599?\n\"Answer: z**2 - 1231604*z - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 1022?\nAnswer: 2044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 8*p + 124 = 0, -6*p - 16*p = -21*p + 2 for j.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-5) + (-57)\/(-15). Suppose -592 = -z*i + 104. Calculate the remainder when i is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 370 = -113*f + 39*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-9) + (-1)\/9. Let n be (-5)\/((-100)\/(-68)) - -3. What is the nearest to -2 in z, -0.5, n?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51 + (13 - 4) + (473 - 457)\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/24)\/(25\/4).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17136, 34256, 51376, 68496?\nAnswer: 85616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 359599700 to the power of 1\/3, to the nearest integer?\nAnswer: 711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24049 - -96195\/4. Which is the nearest to -2.3? (a) x (b) 127 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32.91507 + -0.08493. Put 3, f, 2, 5, 0 in descending order.\nAnswer: 5, 3, 2, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-105)\/10 + 1\/(-5) and -13\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + h)*(2*h - h - 3*h) + 16766 - 16766 + 4*h - 13*h**2.\nAnswer: -15*h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -190 + 202 - (0 + 22)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -2051*z**5\/20 - 238*z**4\/3 + z**2 - 162*z + 1. What is the third derivative of p(f) wrt f?\nAnswer: -12306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 w when four letters picked without replacement from lllwwlllllllwl.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3385680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -133 - -70. Let i = l + -19. Let p = i - -81.999918. Round p to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84828 is divided by 953.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -3*a + 2*a - 147, b = a - 45. Let g be (b\/(-60))\/(36\/10). Are g and 2\/9 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/16 of a day in seconds?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -3. Let v = f + 15. Is 6 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 39*h**2 - 5904*h - 1032780.\nAnswer: 78*h - 5904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -4884*z - 10. Let k(h) = -4639773*h - 9498. Let i(n) = 5*k(n) - 4749*o(n). Let c(l) = -2*l. Calculate c(i(v)).\nAnswer: 9498*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12032616?\nAnswer: 2, 3, 61, 8219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1837 (base 13) to base 3.\nAnswer: -11221011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-6*(-12)\/(-324))\/(((-7672)\/336)\/((-9)\/12))\nAnswer: -1\/137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/(-1))\/((-5)\/15))\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2154 - a5b24?\nAnswer: -a8078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, s: 3, f: 1, u: 2, r: 1, t: 2}. What is prob of picking 1 u and 1 t?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*g - 112*g = 1768. What is the least common multiple of g and 16?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 7*u - 6. Let w be q(6). Solve -3*m = -w*m + 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 4:19 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/3 + 15808\/192. Suppose -152 = -14*n - h. Solve -2*x = -6*x, 0 = n*v + x for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6113570.\nAnswer: 2, 5, 331, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from zepyepeeppppeppepyep.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1279 + -2323. Let w = m + 902. Is -1 at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 54*j**2 - 2*j + 92. Let m be x(54). Let p(q) = -q - 8. What is p(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -59*r + 723. Give v(11).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1033464713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 44\/7 (b) -13\/6 (c) -5 (d) -4 (e) -8 (f) -2\/33 (g) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*18\/(-8)*(-2)\/9. What is the nearest to 6 in -2\/11, -1, d?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 854 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1732214 and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -5*n**4 + 8150*n**3 - 3329265*n**2 + 6634100*n - 3312980 = 0.\nAnswer: 1, 814","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (60\/15)\/(0 + 2). Suppose v*i - 36 = -i. Suppose -2*b + 7*b - 110 = 0. What is the lowest common multiple of i and b?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36 + -27. Let y(t) = s - 16*t - 4 - 19. What is the units digit of y(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3 - 2*t + 4 - 7. Let o(c) = c**3 - 4*c**2 - 4*c + 2. Let u be o(5). Suppose 3*j + 2 = g, -2*j - 5*g + 20 = -u*j. Give n(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/(-72))\/((-115)\/(-1104))*27\/9?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 9*y**2 - 6*y - 21. Let c be z(8). Sort c, 0, -4 in descending order.\nAnswer: 0, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 12:19 PM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*v - 16. Suppose -v*x + 7 - 22 = 0. Calculate the remainder when (2*x)\/(-3) + 3 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169624 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yf when two letters picked without replacement from {y: 14, f: 4}.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40 - (-5700)\/(-140))\/((-120)\/(-70))?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7817, 24559, 52455, 91499, 141685, 203007, 275459, 359035?\nAnswer: 453729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 17. Sort t, 2, 1 in decreasing order.\nAnswer: 2, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1842704 (base 9) to base 3.\nAnswer: -1221102210011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 80 divided by -100\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.8 + -4. Sort 0.4, f, -1\/6.\nAnswer: f, -1\/6, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gq when two letters picked without replacement from wcgcgccqc?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15859595?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1718*m + 8382 + 685*m + 559*m - m**2 + 187*m wrt m?\nAnswer: -2*m + 3149","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 7*i**2 - 33*i - 6. What is n(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 11 (b) 1330 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -7. Suppose g - 2*c - 2 = y, -g - 4*c + 2 = -0. Let k = -1709 - -1714. Solve -r + g*r = 2, 2*r - 14 = -k*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9252000 to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 620 - 370. Let m be (j\/(-30))\/((-1)\/1320). Round m to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4001 - 1597?\nAnswer: 2404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 892513 times 4?\nAnswer: 3570052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -285*u**2 - 285*u + 57. Let i(t) = 5*t - 1. Calculate -57*i(s) - k(s).\nAnswer: 285*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -3*z + i - 332, z - 3*i = -82. Let l = z + 97. Suppose -l*f + 36 = f. Solve -t + 5*d = -15, 3*t = -d - 2*d - f for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3210\/53993 or 0?\nAnswer: -3210\/53993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a = 5*a + 1012. Suppose r - a = -4*i, 3*i + 4*r = -2*i + 330. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**4 - 414867*b**2*m + 4*b*m - 2*b - 1833*m + 1 wrt b.\nAnswer: 12*b**2 - 829734*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(275) + sqrt(275) + sqrt(275)*1)\/sqrt(5) + sqrt(330)\/(sqrt(12)\/sqrt(2)))\/((-5*sqrt(110)\/sqrt(2))\/sqrt(11)) + -1)**2.\nAnswer: 8*sqrt(11)\/5 + 201\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*u = -7 + 1603 + 24 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 352403\/24 + -14682. Suppose -5*l - 7 - 3 = 0. Find the common denominator of l*((-58)\/(-18) + -3) and o.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -5*i. Let b(p) = 36*p. Let w(m) = 3*b(m) + 21*v(m). Let n(s) = 19*s**2 + 1. What is w(n(y))?\nAnswer: 57*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 8448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of 4*d**6\/15 - d**5\/4 - d**4\/12 - 257*d**3 - 140*d - 3. What is the second derivative of u(r) wrt r?\nAnswer: 96*r**2 - 30*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21705 (base 12) to base 14.\nAnswer: 12181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 373901 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of z**6\/10 - 5*z**4\/3 + 23*z. Find the third derivative of m(n) wrt n.\nAnswer: 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 13) in base 5?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 - 69 = d. Let n be -6 + ((d - 6) + 6)*-15. Solve 5*o = -3*v + 2*o - n, -2*v - 7 = -o for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 11:52 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1216)\/(-10)*(-15 - -345). Suppose u - 3*u = a - m, -5*a + 80262 = 4*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000007288 rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*s**3 + 68 - 72 - 3*s**3 - 10*s**3 to the form p*s**3 + y*s + r + j*s**2 and give p.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2210)\/(-408)*(-1)\/(-2). Let d = -23\/8 + o. Let i = -130 - -1301\/10. Is d at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y, 1 h, and 1 p when four letters picked without replacement from {p: 4, y: 3, h: 7}?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*((-1)\/(-2) + 0). Let x be 3400\/175 + 3\/(-7). Suppose 5*j - 2*g = 15, j + 2*g = -2*g - x. Is c at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*x - x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(((((q*(q*q**(3\/20)*q)\/q*q)\/q)\/q)\/q)\/q))\/q*q\/q**(-12\/7)*q**(-6)\/(q\/q**7) assuming q is positive.\nAnswer: q**(499\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 16*n**3 - 8*n + 6. Let x(v) = 29*v**3 - 15*v + 11. Let r(m) = -11*q(m) + 6*x(m). Calculate r(2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of -1 + -4 + (-4)\/2 + 1047?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*k + 26 = -4*a + 24, -2*k + 63 = -3*a for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 151660187?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17982)\/(-19980))\/(3\/(-110)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 6*r + 89. Let z be y(-14). Which is the nearest to 0.07? (a) 4\/7 (b) -0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/560 and (121 + -1)\/12 - (-886)\/(-112).\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-6) + 57\/9. Let y = -129 + 128. What is the units digit of -1*1\/y*w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -48 + -60?\nAnswer: -a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*((-132)\/8 - -3). Let r be 15\/p*2\/5. Let d = -0.1 + -0.1. What is the biggest value in d, r, -0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 s when four letters picked without replacement from {s: 6, d: 1, l: 4}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33944 is divided by 33207?\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-143)\/1287*(-306)\/(-119)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5793*m**2 - 177*m + 177*m - 2902*m**2 - 2894*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(204) + sqrt(204)*-2) + (sqrt(204) - (-2*sqrt(204) - sqrt(204))*-6) + sqrt(204))*-4)\/(sqrt(2352) - (sqrt(1452) + sqrt(1452)*3 - sqrt(12))).\nAnswer: -68*sqrt(17)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1640, 1641, 1642?\nAnswer: 1643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 5*h + 5*j - 7, 5*j = 3*h + 8. Let b(f) = -8*f + 4. Let s be b(-5). Suppose -4*p = -h*q - 0*q + 48, 4*q = 3*p + s. 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 0.9608733 nanograms in tonnes?\nAnswer: 0.0000000000000009608733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 g when three letters picked without replacement from {d: 7, g: 3}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*u - 14*u**4 - 2*u**3 - 320374 + 320376 - 3*u**2 + u**2 to the form k*u**2 + x*u**3 + q + f*u + c*u**4 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 10*c**2. Let u(a) = a + 14. Let p be u(-11). Let w(z) = -2*z**2 - 3*z - 9. Let n(t) = t**2 + 2*t + 6. Let y(l) = p*n(l) + 2*w(l). Calculate b(y(h)).\nAnswer: 10*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8783 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4 - 92217842*c**3 - 2126032503566397*c**2 + 4252065283786324*c - 2126032688002084.\nAnswer: -(c - 1)**2*(c + 46108922)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2057 or -2095?\nAnswer: -2095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - 118041\/(-20970) - 2. Let g = z + 1\/233. Calculate the common denominator of g and -99\/8.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-48)\/(-10) + (-2)\/(-10). Suppose -h = -a*h. Suppose 3*k - 4*f - 32 = -2*k, -5*k + 5*f + 30 = h. What is the highest common divisor of 88 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-10502)\/(-1441) + (-981)\/3597.\nAnswer: 2\/131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-178)\/1335*10\/(-4))\/((-1)\/9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 479600 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5428270.9954 - -1\nAnswer: 5428271.9954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/((-468)\/(-104))*16\/44?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**5\/((w*w**(1\/2))\/w)*((w*w**(-5\/8)*w)\/w)\/(w*w\/(w\/(w*w*(w\/(w\/w**(2\/19)*w))\/w))) assuming w is positive.\nAnswer: w**(573\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 325*l - 643. Let k be w(2). Let q = -10 - -5. Let f be (12\/q)\/(6\/(-20)). Is k less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**6 - 1346*a**3 + 17*a**2 + 38*a wrt a.\nAnswer: 120*a**3 - 8076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2009, -2235, -2627, -3185, -3909, -4799?\n\"Answer: -83*i**2 + 23*i - 1949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 10*c**2 - 4*c - 3. Calculate o(-2).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 384247395?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*b**2 - 27*b**2 + 10*b**2 + 1 + b**2 - 3*b**2 + b**2 - 3*b**2 + 3*b**2 + 2*b**2 + (-3*b - b + 2*b)*(-3 - b + 3) + b**2 + 2*b**2 - 2*b**2.\nAnswer: 3*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27127618?\nAnswer: 2, 7, 587, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25395396*d - 25395403*d - 306*d**3 + 299*d**3.\nAnswer: -7*d**3 - 7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.8 - 0.2. Which is the closest to 2\/7? (a) 3 (b) -2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a + 9. Let s be f(-5). Let d be 183\/5 + s\/(-40)*-4. Suppose y = 14 + 22. Which is smaller: d or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (17 + 0) - (-16 + 6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 26 + 0?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of 0*f**3 - 20*f**2 + 0 + 0*f - 1\/24*f**4. Let v(s) = 7 + 6*s**2 - 7. Calculate v(n(j)).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 5*a = 1576. Calculate the remainder when a is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2747 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 1 + ((sqrt(5000) - sqrt(5000)*2) + sqrt(5000))\/((sqrt(10) - sqrt(80)\/(sqrt(16)\/sqrt(2))) + sqrt(10)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 444912815 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 + 1168\/(-80))*-2.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 372408664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(324)*3)\/(sqrt(20)\/((sqrt(810)*5 - sqrt(810)) + sqrt(810) - sqrt(10)))*-3.\nAnswer: -7128*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 + 14*k**2 + 21*k**2)*(2*k**2 + 2*k - 2*k).\nAnswer: 76*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**3 - 4*w**2 - 6*w - 3. Let l be v(5). Let g(t) = -330*t - 3205. Let y be g(-10). Let d = l - y. Calculate the remainder when 152 is divided by d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -826 or -817?\nAnswer: -817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -26159*n**2 + 2*n. Let p(k) = 1559*k - 1. Give p(b(u)).\nAnswer: -40781881*u**2 + 3118*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 less than -83297?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1323\/735)\/((-1)\/(-5)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 70 - 121. Let n = p + 74. Let w(d) = -d**3 + 5*d**2 - 5*d + 4. Calculate the lowest common multiple of w(3) and n.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -5. Suppose -t*n = -3*s + 5, n + 3*s - 19 = -4*n. Let p be 58 + (4 - 2)\/n. Round p to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -l**8\/1008 + l**7\/630 + l**6\/360 - l**5\/180 - l**2\/2 + 2. Let g(x) be the second derivative of c(x). What is t in g(t) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyeqyeeyeeeveeee. Give prob of picking 1 q and 1 v.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 684 and -0.343?\nAnswer: -234.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 269303*b**2 - 269303*b**2 - 23*b**3 + 34*b**3.\nAnswer: 11*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, 0.3, -5 in descending order.\nAnswer: 0.3, -5, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15157 and 5168905.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 (base 9) in base 4?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i. Suppose 4*w - 28 = -4*m, -5*w - 2*m + 70 = -4*m. Suppose -5*r - 4 = -g, 2*g - 5*g = r - w. Let y(n) = 2*n**2 - g*n + 4*n. What is x(y(v))?\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 5*v = 465, -3*v = -4*r + 146 + 261. Solve -24*n = -38*n + r for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -20 and -36 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20662?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(((-7392)\/(-1456))\/((-12)\/(-39)))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -187*d**2 - 19*d + 2. Let o(r) = 32*r**2. Determine j(o(l)).\nAnswer: -191488*l**4 - 608*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = 49*a - 25*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 5112 and 5159 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3726 and -2.\nAnswer: -7452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/11 + 136*h\/11 - 512\/11.\nAnswer: -2*(h - 64)*(h - 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (1 - 2 - 2) - (-36 + 19)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*u + 68 + 42 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 95003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -10 (b) -0.8 (c) -0.1383 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8137 + -2542. What are the prime factors of a?\nAnswer: 3, 5, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 3*v - v + 12, -9 = 5*m - 3*v. Let z = 12 + -10. Let k(o) = o**3 + 3*o**2 + 2. Let r be k(-3). Solve g - z*g = w - 7, 5*w + r*g - 23 = m for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 91, 123, 135, 121, 75, -9?\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3896910 and 8670?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -7. Suppose -2*t + t + s = 0. Suppose 2 = t*q - 4. Solve -q*g - 4*c = -4 + 21, 13 = -3*g - 2*c for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -55 + 90. Let d(m) = -m**2 - 7*m + 2. Let s be d(-4). Calculate the highest common factor of q and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 217 = y, -4*y + 906 = 5*a - 8*a. Let v = -98 + y. Does 3 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a + 6 = 20*a. Let x = 0.1 + -0.2. What is the closest to a in 3\/5, x, 2\/11?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 32 = -4*w. Let h be w\/(-36)*3*-6 - -611. Suppose 3*x = 6, n - 4*x - h = 877. Round n to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156655 to the power of 1\/2, to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 178, -5, -3 in descending order.\nAnswer: 178, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**12)**(-43)*s**(-3\/2)\/(s**(1\/11)*s))**17 assuming s is positive.\nAnswer: s**(-193953\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2048 - 363. Suppose -5495 = -5*s - z. Calculate the common denominator of s\/60 + (-4)\/5 and -43\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n + 9*s - 4*s + 12, n + 10 = -2*s for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -18, 1, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 44340 - 19163. Let o = c - 2668711\/106. Let j = -88\/3 + 10. What is the common denominator of j and o?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 7:20 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 333932831 to the power of 1\/3, to the nearest integer?\nAnswer: 694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19727 - -18312. Is -1415 at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22*1.3.\nAnswer: -28.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 175 = -7*m. Let v be 1\/((-3)\/21) - -3. Let i = m - v. List the prime factors of i.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l - 3*a - 24, 18*l + 2*a + 4 = 20*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/((v*v**(-18))\/v*v)*(v*(v*(v\/v**(4\/15))\/v*v)\/v*v)\/v*v*v*v*v**(-7\/5)*v**16\/v assuming v is positive.\nAnswer: v**(109\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-3*(-8)\/(-36)). Let o(x) be the third derivative of 1\/8*x**4 + 0 - 1\/3*x**3 + b*x**2 + 0*x. What is o(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - 7*o**2 - 7*o - 4. Let a be n(-6). Is a\/(-2) + 12*12 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 - 184*t**2 - 185*t**2 + 374*t**2.\nAnswer: 5*t**2 + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 195*-94\nAnswer: -18330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37*o**2 + 9*o**5 - 11*o - 37*o**2 + 7*o**5 wrt o?\nAnswer: 320*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1312113123 - 123?\nAnswer: 1312113000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 690 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34870.\nAnswer: 2, 5, 11, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 11. Suppose 3*q - h*b - 59 = 0, 3*q + b = 46 - 11. Suppose 2 + q = 3*z. Solve -2*s = -s - z for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 417838597.536+104\nAnswer: 417838701.536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*y = 17*y + 377. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2245 (base 6) to base 10.\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((2*sqrt(11) - sqrt(11)) + 1 - ((sqrt(99) - sqrt(99)*-2) + sqrt(99))) + -3 + -1*sqrt(275) + 3)**2 + 1)*1.\nAnswer: -32*sqrt(11) + 2818","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36448 * 0.3.\nAnswer: -10934.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3.0002854 and -23735?\nAnswer: 23738.0002854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (17 - (6 + 10 + -7))) + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**2 + 0*z**2 + 2*z**2)*(-76*z - 42*z + 9*z).\nAnswer: 109*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9003310.\nAnswer: 2, 5, 900331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*u**2 - 4*u**3 + 0*u**2 + 3*u**3.\nAnswer: -u**3 - 9*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 9:05 AM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a. Let y(u) = 2*u**2 + 19*u - 2. Give i(y(j)).\nAnswer: -4*j**2 - 38*j + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4*l + 0*l + 1)*(11 + 2*l - 4*l**3 + 5 - 18) as g*l**4 + h*l + p*l**2 + t*l**3 + o and give t.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10318 + 10648 = -22*v for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-6) - (-50)\/(-15). Let m be u\/((2 - 5) + 1). Let k = -2939 - -2941. Solve -3*d = -3*q - d + 2, -q - m*d = k for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6406, 6384, 6362?\nAnswer: 6340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 456 and 2598?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 7*m**2 - 8*m - 2. Let z = 8 + -14. Let n = 163 + -157. Calculate the least common multiple of n and y(z).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47*t**3 + 8*t**4 + 30*t - 6*t**4 + 45*t**3 to the form n + z*t + f*t**3 + a*t**2 + v*t**4 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2012 divided by 5\nAnswer: -2012\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/8 - (-9)\/(-12). Let z = 61 + -59. Which is the nearest to s? (a) z (b) -0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus 55371?\nAnswer: -55370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (34956\/10681)\/((-10 - -12) + (-2)\/2 + 1)?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -9. Let z(j) = 5*j**2 - 15*j - 20. Let d(s) = 2*s**2 - 5*s - 7. Let g(p) = 8*d(p) - 3*z(p). What is g(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 4 + -4 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1\/3, 1, -151\/6, -2\/1235 in decreasing order.\nAnswer: 1, 1\/3, -2\/1235, -2, -151\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a tonne in kilograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-4)*(-27092)\/(-78). Let i = f - -791. Is i a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4622179 (base 10) in base 7?\nAnswer: -54200512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3471 times 0.5?\nAnswer: -1735.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -814, -3, -38 in decreasing order.\nAnswer: -2, -3, -38, -814","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 280 and 258851460?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 906 + -908. What is the second smallest value in o, -2\/3, 5\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 3*r = -15, -r - 632 = -627 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*a + 41640002 = 0, h - 228474 = -5*a - 10638469. What is h rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -9*m - 30. Let y = -2 - m. Suppose 2*h = 52 + y. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**4 + 28*z**4 - 7*z**4 - z**3 + z**3 + 2*z**4 + 0*z**4 + 2*z**4 - 4*z**4 + (5*z - 5*z + 2*z**2)*(2*z**2 + 4*z - 4*z) + 1 - 1 + 2*z**4.\nAnswer: 24*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-120)\/65 + 4\/(-26). Is (5 - 4)\/(h\/(-138)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -67, -177, -287, -397, -507?\n\"Answer: -110*c + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 65 - 62. Solve 2*j = -j - y for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0807 - -0.0193. Let k = -44 + 46.1. Let l = 0.1 - k. Which is the closest to n? (a) -0.1 (b) 4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30752 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3689\/12 - -1227\/4. Let j be (4\/(-6))\/(2\/(-6)). Which is the third smallest value? (a) 1\/9 (b) 5 (c) j (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1119, 1147, 1175?\n\"Answer: 28*p + 1091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 6*l**2 + 11*l - 13. Let n = -19 - -33. Suppose t = -t + n. List the prime factors of j(t).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 7*f. Let z(y) = -y**2 + 7*y + 1. Let j(b) = 3*t(b) + 4*z(b). Suppose -o + 808 - 814 = 0. Let a(u) = u + 13. Let k be a(o). Give j(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -15 (b) -6\/7 (c) -3 (d) 0.04 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*y**3 - 16*y**3 - 30*y**3 - 67*y**3 - 18*y**3.\nAnswer: -35*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2683 = 4*h, 2*t - 5*h = -h - 1794. Let q be t\/30 - 3\/6. Let s = 30 + q. Which is bigger: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 38489\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/10 + 5 + (-47)\/5. Let c be (-1 + 0\/(-1))\/(q\/(-48)). Put 1, c, -4 in increasing order.\nAnswer: c, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 9*p + 6. Let g be f(9). Let q be 20\/(-3)*(-327)\/4. Suppose 5*s + 5*u = q, -5*s + g*s - 4*u - 109 = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2*k - 1)*((-4*k + 12 - 12)*(4*k - 3*k + k) + 2*k**2 - 8*k + 8*k) to the form d*k**3 + p*k + b*k**2 + c and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 9, -1\/4, 6, 3\/4, 17?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37317 divided by -136.\nAnswer: 37317\/136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - s - 25, -2*b - 5*s + 34 = 24. Solve -w = -w + b*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1*y*y**(-3\/4)\/y)\/(y**(-3)*y**2) assuming y is positive.\nAnswer: y**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oh when two letters picked without replacement from {o: 3, h: 7}.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*i**4 - 122*i**2 - 1110*i?\nAnswer: 60*i**2 - 244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(11) + sqrt(66)\/sqrt(24) + 0 + sqrt(22)\/sqrt(2))**2.\nAnswer: -275\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rllldrlddidil. Give prob of picking 2 d.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28*v**2*y**4 + 2*v**2*y**2 + 3*v*y**3 + 7*v*y**2 + v*y - 4*v + 2874*y**4 + 951*y**2 wrt y.\nAnswer: -672*v**2*y + 18*v + 68976*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 50 + -14. Let y = d - 32. Let s(r) = 2*r**2 - 7*r + 8. Let o be s(4). Solve 3*j = 4*w + o, -y*w - 15 + 3 = 4*j for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-5)\/(y*y\/(y*y**(1\/3))*y)*y\/((y*y**6*y)\/y*y)*y*(y**(6\/5)*y)\/y assuming y is positive.\nAnswer: y**(-172\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -53681000 rounded to the nearest 1000000?\nAnswer: -54000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*h - 209*h - 715 = 0. Put h, 4, -4, -6, -1 in ascending order.\nAnswer: -6, h, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7865 and -613845925.8.\nAnswer: -613853790.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9423257 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -175, -707, -1593, -2833?\nAnswer: -4427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13477541 less than 89.77187?\nAnswer: 13477630.77187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0236 + 113?\nAnswer: 113.0236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/9)\/(1\/9). Let v = 10 - w. Suppose 5*y - 2275 = 7*l - 2*l, -5*y = -v*l - 2280. What is y rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 465\/7 + -66. Let g = -212 + -475. Let m = -3431\/5 - g. Put h, m, 5, 2 in increasing order.\nAnswer: h, m, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7067 is divided by 56.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -405*k**2 - 942*k + 72 = 0 for k.\nAnswer: -12\/5, 2\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 49660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - -2*4\/(-3). What is the nearest to 1 in -2\/11, 0.08, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/14*1582\/2373\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/9)\/(20\/(-18)))\/((-26)\/(-10))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2374*((-44)\/40)\/11 + 3\/5. Calculate the greatest common divisor of x and 680.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -85, -184, -295, -424, -577, -760, -979, -1240?\n\"Answer: -g**3 - 92*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wqwrwhcwc. What is prob of sequence rq?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 6:06 AM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 801 - 1 = 0. Suppose -g*y - 1680 = -170*y. Calculate the greatest common factor of y and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2506107 to the power of 1\/3, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 + 0 - (-5418 + 5403).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 2*q**2 + q + 12. Calculate the remainder when 32 is divided by n(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52\/(-3))\/2*(-336)\/224?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (14718*x**3 - 26103*x**3 + 14915*x**3)*(-6*x + x + 3*x + (2 - 2 - 2*x)*(-1 - 3 + 2)) in the form w*x**3 + q*x**2 + y + d*x**4 + i*x and give d.\nAnswer: 7060","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l - 0*l - 3*l. Suppose l = 4*a - 11*a + 1750. Is 50 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 8*s**2 - s + 11. Let j be m(8). Which is the nearest to 0? (a) 4 (b) j (c) -5 (d) 2.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 146 + -129 - (-1 + 44) - (-1 - -1)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 513258?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 364 - 420. Which is the closest to 0? (a) k (b) -1 (c) -5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133 - 396 + 40 - 3*v - 333 - 7.\nAnswer: -3*v - 563","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 n, and 1 e when three letters picked without replacement from fenpfepwfeifepfpnfw?\nAnswer: 32\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r**2 - 58*r - 48. Is p(22) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**4)\/(q**(-6)\/q))**(42\/5) assuming q is positive.\nAnswer: q**(168\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 1.7. Let j = 8 - -6. Let u be j\/44 - 24\/(-132). Put -1\/5, u, k in decreasing order.\nAnswer: k, u, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j + 4. Let p be -3*(0 + (-1)\/3). Let d = p - 5. Let b = d - -6. Let z(m) = -2*m - 9. Give b*z(c) + 5*l(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 7336*v + 6727112 - 35*v**2 - 16*v**2 + 87*v**2 - 34*v**2 = 0.\nAnswer: -1834","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2453 (base 7) to base 9.\nAnswer: -1232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/((2 - 2) + 1). Suppose -p*z + 5*z - 8 = 0. Suppose y - 100 = -z*y. What is the lowest common multiple of 10 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 3 + 2*d**2 - 3 + (4*d - 13*d + 5*d)*(4*d + 0*d - 2*d) to the form x + f*d**2 + o*d and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/((-112)\/(-312))*(89\/(-18) - -5) and (1\/(-10))\/(0 + 1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (818*v + 999*v - 7*v**2 - 1518*v + v**2)*(2 + 3*v - 2) to the form h*v**3 + w*v**2 + i*v + b and give h.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 63100?\nAnswer: -63100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 - 29. Suppose y = -0*k + 12*k - 36. Suppose 0 = -5*r + 2*r + k*i + 2523, -2515 = -3*r - i. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.067 - -6.367. Let f = 0.3 - z. Let j = f - -5.9999885. What is j rounded to 6 dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1773466 to the power of 1\/3, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -43880630.85 from -0.9.\nAnswer: 43880629.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/11 + 26*m**2\/11 - 8*m\/11 - 104\/11.\nAnswer: 2*(m - 2)*(m + 2)*(m + 13)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3944*g + 1729 = 4077*g for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3432)\/(-3718))\/((-837)\/(-2015)).\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**3)\/(((z*z*z**(-3\/2)\/z*z*z*z)\/z)\/z)*z**(-1)\/(z**(1\/4)\/z*z) assuming z is positive.\nAnswer: z**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -220101100200 (base 3) to base 10\nAnswer: -479943","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - -24)\/(1025\/3280).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 300380233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 30*y + 1245. What is the remainder when 282 is divided by o(-41)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49 + -47. Let a = w - -2. Let q(l) = l**2. Let x(k) = -21*k**2 - 10*k. Let z(b) = a*q(b) + x(b). What is the second derivative of z(g) wrt g?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 568, 1, -4, -27 in ascending order.\nAnswer: -27, -4, 1, 3, 568","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 82*b**2 + 2*b - 15. Let p(u) = 23*u + 3. Let j be p(0). List the prime factors of r(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2543, 6, -111.2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 18.7, 307?\nAnswer: 307","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1101 (base 3) to base 10\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + sqrt(57)\/sqrt(3))**2.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 5, 11 in ascending order.\nAnswer: -1, 3, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 53147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, l: 1, v: 5, g: 1, j: 1}. Give prob of sequence sjg.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 530 divided by 2\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70, 135, 198, 259, 318, 375, 430?\nAnswer: 483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b = -20*b + 850. Calculate the greatest common factor of b and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/24 + (-19)\/((-1672)\/(-957)). Let y = -951993 + -192005. Let i be (0 - (-2)\/11) + y\/r. What is i rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -225?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/13, -2\/11, 0.5, -5\/2?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 52840155 to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -4*w - 4. Let p be a(-3). Let o = p - 3. Suppose 5*i = -o*h + 65, -2*i - 2*h = -h - 25. Solve -5*b + 2*b - i = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4*w - 28. Let y be h(6). Is y*1 + 110 + -1 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1218081 to the nearest ten thousand.\nAnswer: -1220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -42.6 - 2644434\nAnswer: -2644476.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 429827871 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -35618332, -35618333, -35618334, -35618335, -35618336, -35618337?\n\"Answer: -c - 35618331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 28) + 5 + -8 + 0 + -20.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 118 = -18. Let w = -2 + c. Suppose -3*z - 5 = -w. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5373, -5372, -5369, -5364?\nAnswer: -5357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 5*j - 17 = -4*m, -j + 5*m = 20. Let w be (-6*j\/60)\/(1\/6). Solve -2*v - 3*o = -0*o - 6, 3*o - w = -v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 36 - 36*s**3 + 58*s**3 - 25*s**3 as c*s**3 + n + i*s + t*s**2 and give n.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 7 = -4*g - 5, g = -23*m - 22 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 19*r + 8. Let a be k(-7). Let g = a - -235. Suppose -4*u + g = -2*u. Is 27 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3122783?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -103\/3, 0, -0.4 in descending order.\nAnswer: 1, 0, -0.4, -103\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gta when three letters picked without replacement from {t: 1, m: 1, a: 1, g: 1, b: 2, e: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u. Suppose 3*h + 7 = 2*i, -3 = -5*i + 2*h + 20. Let c be g(i). Suppose 0 = 4*k - 2*k + 2. Sort c, k, -4 in descending order.\nAnswer: c, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, 8582, -890 in decreasing order.\nAnswer: 8582, 51, -890","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 100122 (base 3) to base 13\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -0*w - 2*w + 4, -5*w - 5*d + 10 = 0. Suppose -5*v + 13 - 23 = 0, -3*r + 5*v + 16 = 0. Solve 4 = -r*l - 3*f + 2, -f = w*l + 6 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -92 - -135. Suppose 4*r = t + 29. What is the least common multiple of r and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 31 and 558.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o + 476 + 488 - 957 to the form r*o + u and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 29*p**2 - p - 27. Let i be t(-29). Suppose -y = 5*h - 36211, -4*h - i*y - 7251 = -5*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 3 = 2*r - 5*r, -15 = 5*x for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 91473 less than 91472?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -2*m - 4, 10*z + 13 = m + 8*z for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 b when two letters picked without replacement from bmebbbbbbe.\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 29400 rounded to the nearest 1000?\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 11373, -2\/127 in ascending order.\nAnswer: -2\/127, 2\/5, 11373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 45*b + 1. Let q be (88\/(-352))\/(7\/4 - 2). Determine p(q).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 12*k**2 - 12*k - 17. Let l be r(13). Is (l\/8)\/(1\/(-326)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 143.673 + -144. Let r = -0.33 - 0.01. Let h = r - a. Round h to 3 decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -424 + 526. Suppose -2*l + 485 = 5*g, -377 - 113 = -2*l - 4*g. What is the highest common factor of l and i?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -10*b**2 - 156*b - 32. Give g(-15).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 251\/1016 - -3\/1016. What is the closest to 8.08 in r, 3\/5, -1\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -88 + 145. Suppose -6*c + z + 21 = 0. Suppose 0 = b + 5*u - c, 0*b + 2*b - 26 = 5*u. What is the highest common factor of b and 208?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -323*n - 299 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73270*c - 36632*c - 36642*c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3*j = -29, -4*q + 3*j + 26 = -33. What is the second derivative of -q*p - 5*p + 4*p**2 - p - 2*p wrt p?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 696691?\nAnswer: 696691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1875*l**3 - 824556600*l**2 + 90652478213808*l.\nAnswer: 3*l*(25*l - 5497044)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**2 + v + 3. Let t(k) = k**2 - 1. Let r(j) = n(j) + 3*t(j). Let c be r(1). Determine d, given that -3*d**3 + c*d - d**3 + 6*d**3 + 4*d**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + b**2 + 2*b - 1. Suppose -5*c = -2*x - 41, -5*c = -2*x - 2*x - 37. Suppose -y = -j + y, y = -4*j - c. Calculate h(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-160*b + 587*b + 149*b)*(2 + 1 - 2) in the form v*b + l and give v.\nAnswer: 576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1)\/b**(-7))\/(b*b*b**6)**(-1\/20))**23 assuming b is positive.\nAnswer: b**(736\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-147)*3)\/((-6)\/(-42))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1514?\nAnswer: 2, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1937, 8255, 18787, 33533, 52493, 75667?\nAnswer: 103055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**2 - 934266*b - 218213239689 = 0.\nAnswer: -467133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -180420 by -93.\nAnswer: 1940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 times 31?\nAnswer: 0.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -20) + (-332 - -331).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.21672 times -0.016\nAnswer: 0.00346752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2383311, 4766621, 7149929, 9533235, 11916539?\n\"Answer: -c**2 + 2383313*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 + -35 + 1 + -5 - (13 + 1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 3*t + 0*t - 2)*((3 + 0 - 4)*(5 - t - 5) - 2*t + 39 - 37 - 3*t).\nAnswer: 4*t**2 + 6*t - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 168\/53, -5, -0.5?\nAnswer: 168\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 1. Let r be (2\/3)\/((-3)\/(-9)). Let f(t) = t**3 - 3*t**2 + 4*t - 2. Let a be f(r). Solve 4*c = 4*m - 2 - k, 2*m = -a*c - 14 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*z = 1737, -4*z + 681 + 9 = 2*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.12*1.43\nAnswer: 0.1716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -115*r**3 + 4*r**2 + 4*r + 3. What is the hundreds digit of v(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 92\/(-9) - (17 + -20) and -41\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65957628 to the nearest integer?\nAnswer: 8121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 7:02 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-14\/3)*t**(10\/3))\/(t*t\/(t\/t**(4\/3)*t*t*t))**(1\/33))**(-2) assuming t is positive.\nAnswer: t**(-1786\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.17 - 6.83. Let k = d + 10. Let g = -0.4 - 0. What is the second smallest value in 2, g, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*z**3 + 7*z**3 - 21*z**3.\nAnswer: -30*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 21 + 7. Let x be -3 + 0 + 38\/r. Sort x, 0.4, -2\/5 in descending order.\nAnswer: 0.4, x, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2028541732.\nAnswer: 2, 7, 313, 231463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4 - 4068*m**3 - 2039906*m**2 + 29159424*m - 102760448.\nAnswer: -2*(m - 7)**2*(m + 1024)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1147985366?\nAnswer: 2, 11, 31, 509, 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7342711 rounded to one dp?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 20*x**2 + 740*x + 22. Calculate p(19).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 98\/2*(-294)\/(-9261).\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 25334 + 1?\nAnswer: 25335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 67 = -5*l - 88, -2*l - w = 51. Let n = l + 113\/4. Let g = 3.2 + -0.2. What is the second smallest value in g, n, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9951*a**6*h**2 + 4*a**4*h**2 + 45*a**2*h - 5*a**2 + 30*a*h**2 + 2*a*h wrt a?\nAnswer: -1194120*a**3*h**2 + 96*a*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*f**2*t**2 + f**2 - 48*f*t**2 + 78*f*t + t wrt t.\nAnswer: -10*f**2 - 96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 109 - 104. Find the second derivative of 5750*k**t - 5813*k**5 + 25*k + 119*k + 13*k wrt k.\nAnswer: -1260*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -260470, -260455, -260440, -260425, -260410?\n\"Answer: 15*x - 260485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 17, 42, 71, 98?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3036)\/(-1) - (59 - 63)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -409, -1, 2 in decreasing order.\nAnswer: 2, -1, -409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z + 0*z + 118*z.\nAnswer: 123*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17526643 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 1:52 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 28 - -1?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + -31. Let l = 75 + 2. Let y = i + l. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00066345468 to five dps.\nAnswer: 0.00066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(637)*-1 + sqrt(637) - (sqrt(637) - (0 + (sqrt(637) + 0 - sqrt(637)))**2))*5.\nAnswer: -105*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57649\/3144 + -3\/1048. Find the common denominator of 10\/45 + (-1 - 1) and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.6 + -17.4. Let t = -19.9 - w. Let s = -1 + 4. Which is the closest to 1? (a) -1\/3 (b) t (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 37.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45 - -51. Factor -8 - 10*h**2 + 20*h + 5*h**3 - 2*h**3 - w*h**2 + h**3.\nAnswer: 4*(h - 2)*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2184 - 342. Let d = q - -50533\/20. Which is bigger: d or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192335045?\nAnswer: 5, 7, 47, 16703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lzs when three letters picked without replacement from {z: 13, l: 4, s: 3}?\nAnswer: 13\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.6086 to 1 decimal place.\nAnswer: -5.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.194 * 4.7.\nAnswer: -0.9118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20642260.\nAnswer: 2, 5, 281, 3673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -106.3 + 106. What is the nearest to -9 in 4\/5, 0.1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6871 + 6873. Let h(i) be the second derivative of -10\/3*i**3 - 1\/6*i**6 + i**5 + 27*i + 10*i**t - 5\/4*i**4 + 0. Factor h(u).\nAnswer: -5*(u - 2)**2*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/9)*d)\/d*d*d*d**(-4\/5)*d**(-11\/2)\/d*d**(-1\/10) assuming d is positive.\nAnswer: d**(-248\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 - 2*u**2 + 3*u - 12*u**2 - 10*u**3 + 6 + u**3.\nAnswer: -3*(u + 1)**2*(3*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1 + sqrt(931) + sqrt(19)))**2.\nAnswer: 400*sqrt(19) + 30425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*h*n**3*w**3 - 2*h*n**3*w**2 + 6*h*n**3*w - 2*h*n**3 + 3*h*n**2*w**2 + 356084*h*n*w**3 - 17*h*w + 12062*w**2 wrt w.\nAnswer: 138*h*n**3 + 2136504*h*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218*s - 215*s = 4*p - 12, 0 = 3*p - s - 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 20, 1, -17, 313, 5, -2 in descending order.\nAnswer: 313, 20, 5, 1, -2, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - 1. Which is bigger: w or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23737527 (base 8) in base 7?\nAnswer: 62265051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 1:48 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17733?\nAnswer: 3, 23, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 167248\nAnswer: 1\/41812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -330565 (base 7) in base 12?\nAnswer: -29624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/35)*k**0)\/(k**(-3)*k\/(k**(-1\/3)\/k)) assuming k is positive.\nAnswer: k**(67\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k - 1. Let n(u) = -2*u**4 + u + 2. Let f(c) = -2*g(c) - n(c). What is the second derivative of f(d) wrt d?\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 391457276?\nAnswer: 2, 7, 1997231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - r + 58. Let p be f(-8). Suppose 5*n + p*z + 0 = 20, 0 = -n + 3*z + 4. Solve -n*s - 9 = -s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50 and 675.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -1\/4 (c) 3\/4 (d) 290 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z + 15, 0*z + 3*z + 9 = 5*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1))**26)**14\/(((((m\/(m\/(m*(m\/m**1)\/m)))\/m*m)\/m)\/m)**(2\/53)\/(m*(m**6\/m)\/m*m**(1\/2)*m)) assuming m is positive.\nAnswer: m**(-37887\/106)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*p**4 + 14*p**2 - 14*p**2 + (2 - 4 + 1)*(-5*p**4 - 10*p**4 - 4*p**4).\nAnswer: 11*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.159 times 0.9?\nAnswer: -1.0431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/6 - 1)*3. Suppose -u + 9 = 4*t, 0 = -4*t + 5*u + 1 + 2. Which is the second biggest value? (a) t (b) 0 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*m - 15*m + 2922. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.56 - -2.06. Which is the closest to 0.1? (a) z (b) -2\/9 (c) -2 (d) 8\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n + 16 = 2. Let q be (-1)\/n*(-219)\/(-2). Let s = q - 3731\/68. Is s < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5778360 (base 9) to base 8\nAnswer: -13722654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w - 1. Let h be l(-15). Let k = 39 - 14. Let r = h - k. Solve -2*i + 16 = -5*v, 0 = 2*v - v - 4*i - r for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 4*o**2 - 13*o + 1. Let c be d(-6). Let x = c - 4. What is the third smallest value in 0.1, 4\/9, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -183 + 186.78. Let s = u + -4. Let p = 0.78 - s. Which is the third biggest value? (a) -4 (b) p (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 2250 = 5*c - 3295, 0 = -5*c + 3*s + 5549. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -155286606\nAnswer: -465859818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2511*d - 117994. Calculate h(47).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = 4*j + 2*d, d = -3*j - 2*d + 99. What are the prime factors of j?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {x: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 0*d - 3 + 4*d + 2*d - d**2. Let w(g) = -15*g - 1. Let z be w(1). Let v be z\/(-3) + (-1)\/3. Determine f(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206 is divided by 182?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 4 + 4 + 3*g)*(-7 - 7 + 0) to the form b + l*g and give l.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 569489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3+468883438.5\nAnswer: 468883441.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjollljloljl. What is prob of picking 2 j?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 328, 342, 374, 430, 516, 638, 802, 1014?\n\"Answer: m**3 + 3*m**2 - 2*m + 326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 6. Let k be 92\/(-6)*27\/(-18). Suppose 5*l - k - 17 = p. Is 8 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46 - 10. Suppose -5 - 4 = -3*o + 3*c, 3*c - 9 = 0. What is the third derivative of 13*t**2 + y - 2*t**o - 36 + 0*t**6 wrt t?\nAnswer: -240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -154502 (base 7) in base 3?\nAnswer: -1112202002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**3\/7 - 221948*n**2\/7 + 2158048*n - 256886320\/7 = 0. What is n?\nAnswer: -55555, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1413085, -2826170, -4239255, -5652340, -7065425?\nAnswer: -8478510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 29\/2 of a week?\nAnswer: 2436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -132.08453 times -0.7\nAnswer: 92.459171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(44) + 1)*-1.\nAnswer: -8*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 668851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*v - 2*i, i + 6 = 2*v + 2*i. Suppose 4*o + m - 27 = 0, v*o + 5*m = -1 + 40. Is 5 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-13)\/((-5)\/(-3 - -8)). Calculate the common denominator of ((-6)\/(-8))\/(4\/p) and 103\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/18*6)\/((6\/(-52))\/((-362)\/2353))?\nAnswer: 32\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -108 - -150. What is the smallest common multiple of b and 27?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2852873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 3 + -13 + 7 + (-9 - -17).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 3*g + 12 = 0. Let t(a) = 4*a - 14. Let j(k) = -k + 3. Let y(o) = -6*j(o) - t(o). Let f be y(g). Put 9, 1, f in decreasing order.\nAnswer: 9, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -0*r - 9. Let t(b) = 9*b - 30. Let x be t(6). Let w = -40 + x. Put 1, r, w in decreasing order.\nAnswer: r, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -344*k = -335*k + 3978. Is -443 < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-nine halves of a milligram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a**2 + 13*a**2 + 3*a**2 + 8*a**2 - 18*a**2.\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2. Let i be 161*((-36)\/(-14))\/3. Let v(g) = 2*g**3 + 4*g**2 + 2*g + 4. Let r be v(-2). Let n(u) = -138 + i + r*u + u. Give n(a(h)).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52693 = -242*w - 207*w - 7900 + 2801 for w.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -719508 - -7182071\/10. Let c = -1303 - f. Calculate the common denominator of c and 84\/44*(-2)\/(-6).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 - 0.3. Let q = 0.367 - 22.067. Let l = 22 + q. What is the nearest to n in -4, l, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - (-25 + 1 - -25)) + 39 + -4?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 28712858 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 3*h - 35 = 0, u + 3*h = 14 - 3. Let n(l) = 4*l**2 + 2*l - 5. Let w(m) = -3*m - 18 + 11*m**2 + 4 + 9*m. Suppose -2*c = c + 9. Give c*w(x) + u*n(x).\nAnswer: -x**2 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -6*p**3 + p**2 - 1. Let u(f) = f + 15. Let d be u(-12). Let h = 2 + 0. Suppose m + d = h. Calculate i(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/3 - 196*z\/9 + 22\/3.\nAnswer: -2*(z + 33)*(3*z - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005099324 rounded to 4 dps?\nAnswer: -0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - x + 100. Give l(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(0 + sqrt(245) + 5*sqrt(245) + -2))**2*-6.\nAnswer: -211776 + 4032*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 5 (b) 0.4 (c) 45\/52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -0.5 (b) -5 (c) -1 (d) 265\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/227 + -213\/1589. What is the third smallest value in 1\/2, -5, r?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 666558.\nAnswer: 2, 3, 19, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1115)\/(-55) - (-24)\/(-88). Factor 60*b - 55*b**2 - 45\/2 + d*b**3 - 5\/2*b**4.\nAnswer: -5*(b - 3)**2*(b - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4122016 and 800?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93551571?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.9767449 to three dps.\nAnswer: 5.977","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -13*a + 13. Let g(k) = 3*k. Calculate o(g(i)).\nAnswer: -39*i + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 183 and 7984717?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -4*b + 9, -36*b - 3 = -h - 31*b for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16.95 - 14. Let y = n + -5.77. Let l = -0.18 + y. Sort l, 0.3, 2\/5 in increasing order.\nAnswer: l, 0.3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 20*l**2 + 5*l + 39. What is the units digit of o(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23642890?\nAnswer: 2, 5, 2364289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 390648 to the power of 1\/2, to the nearest integer?\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 356, 2738, 5120, 7502, 9884, 12266?\nAnswer: 14648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**17*k*k**(2\/9)*k*k**(5\/6)*k*k*k\/k**(2\/99)*k assuming k is positive.\nAnswer: k**(4957\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 b when two letters picked without replacement from {p: 1, t: 1, b: 2, m: 2, h: 1, v: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -4 + 5*k + 4 + 0. Let d(n) be the first derivative of n**3\/3 - 7. Give d(o(y)).\nAnswer: 25*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 10:32 AM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43 (base 14) to base 10.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 517 - -2339. What is the hundreds digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 0 + (sqrt(637) + 1)**2)*-4 + 3.\nAnswer: -2529 - 56*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 1:21 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - 4)*(-3 + 2 + 2) + 3 + 0 - 5 + 3 - 3 - 1)*(-u**2 - 4*u + 4*u).\nAnswer: 7*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -275 - -401. Find the third derivative of 100*p**5 + k*p + 8*p**2 - 4*p**2 + p**2 - 3*p**2 - 4*p**2 wrt p.\nAnswer: 6000*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 1)*(-3*j + 4*j - 2*j) + (6 + 0 + 1)*(0*j + 2*j + 0*j) + (2 - 1 + 0)*(-109 + 109 + 24*j) - 5*j - j + 3*j.\nAnswer: 37*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 205*t**2 + 5*t - 9. Let f(s) = 194*s**2 + 4*s - 10. Let y(g) = 4*f(g) - 5*p(g). What is the second derivative of y(l) wrt l?\nAnswer: -498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.44517618 to 3 dps.\nAnswer: -3.445","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 883310419 to the power of 1\/3, to the nearest integer?\nAnswer: 959","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 23*d**2 - 64*d + 1. Calculate the lowest common multiple of 772 and i(3).\nAnswer: 3088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15861359?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h - 1 = -14*h. Let w be 3 - 25566\/(-24) - h\/4. Let t = w - 623. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -55358*k**2*m - 2*k**2 - 12*k + 3850769*m wrt k?\nAnswer: -110716*k*m - 4*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 45255?\nAnswer: -45258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/12)\/(6\/(-540)). Let a = 54 + p. Solve 0 = -3*b + 6*b + a for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14.9618 - -14.9678071. Let l = -34.294 - -34.3. Let v = l - s. What is v rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*n + 29*n + 13*n**2 - 18*n to q*n + g + w*n**2 and give w.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -1\/2 (c) 6911\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - 7\/(-3) - 611\/(-39). Calculate the greatest common divisor of 40 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-14) - (-38)\/14. Let i be 8*(-34)\/(-4)*15\/6. Suppose -w - i = -c*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3520669?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 - -0.8. Suppose -17*j - 10*j = -162. Let w be j*(-8 - (-68)\/8). Which is the nearest to -3? (a) 0.1 (b) k (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 4*x + 10259, -w - 7*x = -8*x - 3422. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.13 - -0.13. What is the closest to p in -0.2, -1, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**20)**(-2\/91)*n**(3\/7)\/((n**(-2\/15)\/n*n)\/n*n) assuming n is positive.\nAnswer: n**(167\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -41.484845 and 1.\nAnswer: -41.484845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 9*m**2 - 21393. Let b(j) = j + 10. Determine z(b(c)).\nAnswer: 9*c**2 + 180*c - 20493","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of 11*x**5\/60 - 31*x**4\/24 + 25*x**3 - 12*x**2 - 5. Is 20 a factor of f(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39112*73.\nAnswer: 2855176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times 0.02?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1863? (a) -181 (b) 5 (c) -18\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 - -2.91.\nAnswer: -48.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 11, u: 3}. Give prob of picking 2 z and 1 u.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 115*k + 11. Let j(a) = 233*a + 20. Determine 6*j(h) - 11*t(h).\nAnswer: 133*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1383 or 1381?\nAnswer: 1381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/2*7*96\/(-504)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - ((2 - 3) + 6). Let i be 4\/j*(-45)\/(-20). Put i, 0.15, 5 in increasing order.\nAnswer: i, 0.15, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136722793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4018200 divided by -444\nAnswer: 9050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**2 + 26*f + 45. Suppose 3*v - 366 = 3*x, v + 2*x - 6*x = 110. Suppose -7*m = -7 - v. Is b(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 41*s + 367. Let u be b(13). Solve 0 = u*x - 7*x - 20 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-3))\/((-9)\/6*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8 + -1 + -15 + 295\/35. What is the nearest to -1\/3 in 18.67, 4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/9*35\/(-245))\/((-4)\/18).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.05, 262, 221\/20?\nAnswer: 221\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 3*q**2\/2 - 45*q\/2 - 51 = 0.\nAnswer: -2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of 0 + 1\/60*w**5 - w**2 + 1\/12*w**4 + 0*w - 1\/2*w**3. Let o(x) = -1. Let m(p) = k(p) - 2*o(p). Give m(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -8*u + 34. What is p(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -68570694 divided by 3809483?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17666 and 1089?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/(0 + 2\/4). Suppose -3*h = -v - 6*h - 12, v = -4*h - 17. What is the highest common divisor of v and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.01 + -2.04. Let l = r + 0.03. Let p = 85.7 - 87.7. Which is the closest to l? (a) 1\/5 (b) p (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11135555 - -1?\nAnswer: -11135554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 22045299 and 14345108.\nAnswer: 36390407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2266*z**3 - 1058*z**3 - 949*z**3.\nAnswer: 259*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -566654994*t + 60216835 wrt t.\nAnswer: -566654994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4 = -2*x. Suppose 3*q - q - 5*i - 32 = 0, 0 = q + 5*i - x. Let l = q + -7. Solve 5*t + l = -1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -41*n - 128. Is k(-27) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 6 = -3*l, -4*i - 6 - 4 = -2*l. Let o(f) = -92*f**3 - 115*f**2 + 115*f - 115. Let k(r) = -r**3 - r**2 + r - 1. Determine i*o(d) + 115*k(d).\nAnswer: -23*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/((-96)\/(-45))*8\/20?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*y = -77*y + 592 + 598. Calculate the remainder when 1207 is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41 - -41.53. Let f = m + -0.03. Suppose -18 = 2*o, -w - 82 = 2*o - 53. Which is the nearest to w? (a) -2 (b) -3\/7 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (57 - 5) + 3 + -22\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 + 324 = -3*x - 14*i, 2*x + 3*i = -53 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/18)\/(((-5695)\/(-340))\/(6\/8))?\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 5 + (sqrt(1458) + sqrt(1458) + 1)*3)*-2 + 2.\nAnswer: -324*sqrt(2) - 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of 0*r**5 + 0*r - 5\/2*r**2 - 4*r**3 + 0*r**4 + 91\/6*r**6 - 69. What is the third derivative of j(i) wrt i?\nAnswer: 5460*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50877 + 0.1\nAnswer: 50877.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(((s**(-29)*s)\/s*s)\/s*s))\/s)\/s**(-20)*(s**2)**(-12\/17) assuming s is positive.\nAnswer: s**(792\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -33, -63, -93?\n\"Answer: -30*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**2 - 9*s + 5. Let x(n) be the second derivative of -n**4\/4 - 7*n**3\/3 + 4*n**2 - n. Suppose -20 - 5 = -5*f. Give f*x(g) - 8*d(g).\nAnswer: g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 6*l - 377. Give b(-22).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271 is divided by 19.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 6}. Give prob of picking 4 w.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/14 and ((-105)\/(-80) + -2)*-4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8808 and 4388586?\nAnswer: 2202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 7*r - 5. Let g = 17 - 4. Suppose g + 3 = a. Let h be (a\/(-6))\/((-10)\/15). What is j(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(153) + 0)**2 + -2)*2.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, a: 2, h: 5, k: 1, o: 1, z: 2}. What is prob of sequence aak?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 501\/16 + -31\/48. Let v = 141 + -171. Let t = l + v. Put t, 1, -4\/7 in descending order.\nAnswer: 1, t, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1335 and 2935?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 6*b**2 - 21*b - 10. What is the smallest common multiple of 18 and s(-8)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 47, 2, -5, -2\/9, -27\/106?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 241124220 to the power of 1\/2, to the nearest integer?\nAnswer: 15528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15 + 0*z + 6 - 28082*z**4 + 28242*z**4 + 0*z + (4 - 1 - 1)*(2*z**4 - z**3 + z**3) + z**4 + 2*z**4 - 2*z**4 - z**4 - 2*z**4 - z**4.\nAnswer: 161*z**4 - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 7289310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2, 8122, 17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/53 + -68\/1007. What is the second biggest value in 2\/7, 1\/3, r, -1\/4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 14*n - 5. Let a be c(13). Let j = -16 - a. Solve 0 = j*q - 0 - 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9253 + -9253. Sort -42, 14, -4, y in ascending order.\nAnswer: -42, -4, y, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - -1)*68\/6. Let b be i\/(-17) - (1 + -67). Suppose 3*k - 229 = -b. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -77267000 to the nearest 1000000.\nAnswer: -77000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 352 = -0*u. Let y = -53 - u. Suppose 2*m - y + 7 = 0. Solve -f = -2*h - 4 - 1, -5*h + f - m = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-729)\/8505)\/((-6)\/(-10))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4042 and 517.\nAnswer: 44462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 0 + 8 = 0. What is the highest common factor of 5 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2008 (base 16) to base 13\nAnswer: 396a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w + 187 = 29*w + 649 for w.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + -5 - ((-17 - -2) + -92). Solve -225*c = -242*c - h for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 676710278*t**3*u + 5937*t**2 + 2*t*u + 1010 wrt t.\nAnswer: 4060261668*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4872 greater than 4872?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 11:26 AM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -6*c + 2*c - 3*k, -5*k + 17 = -2*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12314 and 517?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in -53, -0.2, 22.255, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 94.374526 - -12029.052574. Let h = -12124 + p. Let n = -0.57 - h. Round n to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 64*a + 12 + 24 - 72 + 21 - 2*a**2. What is the units digit of c(26)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1000 in 0.2, -0.3, -12, 2, 6?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4750, 9556, 14356, 19144, 23914, 28660, 33376, 38056?\n\"Answer: -x**3 + 3*x**2 + 4804*x - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -5*a**4\/3 + 791*a**3 - 93294*a**2 - 399364*a\/3 + 113288 = 0.\nAnswer: -2, 3\/5, 238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*3*sqrt(91)*2)\/((sqrt(378)\/(sqrt(9) + sqrt(81)))\/sqrt(6)) + -3)*-2)**2.\nAnswer: -2304*sqrt(13) + 479268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h**4 - 3*h + h**2 + 5*h**2 + 2*h**3 - 4*h**2 + 34 - h**4 - 27 to t + n*h + m*h**3 + v*h**2 + a*h**4 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28 * 7625.\nAnswer: -213500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13.894 - -2228.194. Round z to the nearest 10.\nAnswer: 2210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t - 136 = -5*t. What is the remainder when 34 is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44602000 rounded to the nearest 1000000?\nAnswer: -45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-1)\/(-1))\/((-50)\/(-25)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-66*a + 11*a - 71*a)*(1 - 1 - a).\nAnswer: 126*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*x - 38*x = -5*v + 5, 2 = 4*x + 2*v for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-56)\/22 + 4 + -2. Let g = -10 + 55. Let l = g + -44.5. What is the smallest value in m, -2\/13, l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 4*q + 8. Let o be 14\/6*(-1044)\/(-406). Determine p(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 + -230?\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 993 - 313 = 20*c. Let h(f) = -f**3 + 47*f**2 - 78*f - 53. Is h(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qhaaqqqqgqqqqqqqq. Give prob of picking 2 a.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3 + 85*s**2.\nAnswer: 5*s**2*(s + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -152.188 - -125.6. What is a rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 7*b**2 - 74*b - 366. Determine l(-5).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 11:17 PM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w*w**2)**(-12\/7))**(-40))**(-1\/23) assuming w is positive.\nAnswer: w**(-1920\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -t**4\/24 + 5*t**3\/2 + 2*t**2. What is the remainder when 141 is divided by d(-9)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -6.6. Let g = -0.645 + h. What is g rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 6 - 0. Let l(k) = 11*k - 811. Let p be l(74). Put p, h, 47 in decreasing order.\nAnswer: 47, p, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 56281994 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(1\/2))**(-3\/29)*w**(-1)*w*(w*w*w*w**8*w*w*w*w*w*w)\/w assuming w is positive.\nAnswer: w**(925\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 325009896 to the nearest integer?\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(432))*3*-3.\nAnswer: -108*sqrt(3) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by 82\/6 - 40\/(-30).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -22. Let y(q) = 2*q + 10. Give y(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107996011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**2 - 7*l + 4. Let t(c) = -2*c**2 + 6*c - 4. Determine -5*m(y) - 6*t(y).\nAnswer: 2*y**2 - y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, 6, -4, 1.\nAnswer: -4, 1, 6, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-5)\/((-40)\/18) + ((-14665)\/420 - -35)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -979*k + 393 + 153 = -953*k for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 9\/(-12))\/(12\/(-240)). Let n(s) = 28*s + 1. Let o(q) = 22*q + 1. Let f(g) = v*o(g) + 4*n(g). Calculate f(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47 - 62. Let z be (-18)\/60*a\/(-12). What is the closest to -1\/3 in 3, z, 0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 7*j**3 + 45*j**2 - 4*j. Let k(m) = -4*m**3 - 23*m**2 + 2*m - 1. What is 3*a(g) + 5*k(g)?\nAnswer: g**3 + 20*g**2 - 2*g - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4814269813 to the power of 1\/2, to the nearest integer?\nAnswer: 69385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 65 + 13 = 0. Let u = 64 - z. Solve 0 = -i - 4*i - u for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 5*f = 6, -5*f = r + 8 - 0. Let n be 0 + 3 + 1 - r. Factor -2*u**4 - n*u**3 - 2\/3*u**2 + 0 + 0*u - 2\/3*u**5.\nAnswer: -2*u**2*(u + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 29 = -4*s + 23, 4*s - 62 = v. Let t be ((-1)\/3)\/(-1) + (-1540)\/(-330). Suppose z + t = s. What is the smallest common multiple of 10 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 2\/3*u**4 - u**3 - 26\/3*u**2 + 21*u - 12 = 0.\nAnswer: -4, 1, 3\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-2)\/(-6)*-3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -g**4\/4 + 2*g**3\/3 - 3*g**2\/2 + 2*g - 3. Suppose 0 = -5*l - 45, -567*l + 570*l + 29 = 2*u. Determine n(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 343 a factor of 325059874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 - 34. Let h = -3.4212 + 2.4212. What is the nearest to 0 in 1\/8, h, z?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 212 - 1?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 13*i - 271. Does 10 divide s(37)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.6042491 years?\nAnswer: 0.006042491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.25, 2\/11, 6636, -0.3?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 2:09 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, 3\/2, -2\/9, 0.777, 50\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 641051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**3 - a**2 + 31*a - 14. What is c(-5)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l + 14. Determine q(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - b - 4*b)*(0*b**2 - 2*b**2 + 4*b**2).\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**3 + 2*l**3 - 2*l**3)*(-2*l + 2*l - l**2) + (-1 + 2 - 2)*(3 - 3 + 3*l**5) + 2*l**5 + 2*l**5 - 5*l**5.\nAnswer: -3*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5 + (sqrt(162) - (5 + -2*sqrt(162) - sqrt(162)))).\nAnswer: -108*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 207 - 19 = -2*t, 58 = x + 2*t. Solve -67*n + x*n = -44 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1504*t**3*v*z**2 - 33*t**3*v*z - 2*t**3*z**2 + 11*t**2*v*z + t - 352*v*z**2 + 96*z wrt z?\nAnswer: 3008*t**3*v - 4*t**3 - 704*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.78717 to one dp.\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 473*r = 428*r + 8976735. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 27 = -4*h. Let y = 10 - h. Let u = 4619\/3 - 1539. What is the closest to y in -0.5, u, 1\/6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 162.00509 + 0.07491. Let b = v + -162. What is b rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -61\/2, -5, -12, -6, 0.1, 6\/7?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q*q**(1\/8)*q)\/q**3)\/(q**1)**30*(((q\/((q*q\/(q**(-1\/3)\/q))\/q))\/q)**(-16))**(-6\/17) assuming q is positive.\nAnswer: q**(-5719\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 4:22 AM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = 4*t - z - 4*z, 5*t - 45 = -4*z. Let x be (-1 - t)\/(8\/24). What is the units digit of (100\/8)\/(x\/44 + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 1985435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 4*o**2 + 4*o - 3. Let f be l(-5). Let s = f - 1. Let w be s\/(2 + 38\/(-20)). Calculate the highest common factor of 25 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2180167*2\nAnswer: 4360334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1970 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -388, -644, -756, -724?\n\"Answer: 72*o**2 - 472*o + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 8\/((-48)\/9)*2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 10:38 PM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1849962000 rounded to the nearest 1000000?\nAnswer: -1850000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, z: 2, o: 7, x: 1, y: 5}. Give prob of picking 1 x, 2 k, and 1 y.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 6 = 4*h. Let o(r) = -h*r - 2 + 0*r + 5*r. Let a(f) = 4*f - 3. Let j = 217 + -215. What is j*a(n) - 3*o(n)?\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 21*d**2 - 2*d + 46. Let f be g(21). What is the greatest common divisor of f and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**5 - 4*m**4 + 2*m**3 + 4*m**2 = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -7*u + 41. Calculate l(12).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c. Let i(g) = -2*g - 12. Determine -3*d(s) + i(s).\nAnswer: s - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -14. Let o = 2095.8 + -2096. What is the second biggest value in o, y, 8?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5905*r + 5881*r - 19 + 24 - 4 - 1.\nAnswer: -24*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1046 - -1543. Let p = o - 293. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**2 + 131*d + 74. What is q(-61)?\nAnswer: -475","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/9036 and -169\/126504.\nAnswer: 126504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 7*y + 23. Let v be z(9). Which is the nearest to 0.1? (a) v (b) -1 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7831, 7830, 7829, 7828, 7827?\nAnswer: 7826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.1, -505, 6, 0, -18?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2\/1020328411?\nAnswer: 2\/1020328411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 29*c**2 + 29*c + 1. Let a be b(14). What is a rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 130873448?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-3) - (-4 + (-102)\/18). Let r(m) = 28 - 22 + m**3 + 6*m**2 - h*m - 16. What is r(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 8*v + 1. What is a(-7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 0*x - 450 = 0. Let w = x + 155. Which is the closest to 0? (a) -2 (b) 4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, b: 12, w: 1}. What is prob of picking 2 f and 2 b?\nAnswer: 99\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 15*y + 5*y + 14 + 11*y + 2.\nAnswer: y + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 - 28. Suppose n*a - 60 = -3*a - 5*g, -5*g - 60 = -3*a. Let k = 126 - -9. What is the greatest common factor of a and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 8*s**3 - 7*s**2 - 5*s + 6. Let f(o) = 537*o - 538*o + 0*o**2 + 1 - 3*o**3 - o**2 + 4*o**3. Let i = 13 - 19. Give i*f(k) + x(k).\nAnswer: 2*k**3 - k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 154*f - 2325. Determine y(15).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**2\/5 + 47888*l\/5 + 19156 = 0.\nAnswer: -2, 47890","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-78)\/27729*(-36)\/4?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1160 - 1160 + 727*i in the form w + o*i and give o.\nAnswer: 727","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 32041466911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -9*q - 3*q**2 + 99 - q**3 - 10*q - 7*q**2 - 260 + 136. Determine s(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12\/23? (a) -0.031 (b) -3 (c) 4 (d) 0.22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s**2 - 15*s + 8. Determine b(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 + -10. Suppose u + 7 = l - u, l = u + g. Does 7 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 18, -3, 1144, 5, 2 in descending order.\nAnswer: 1144, 18, 5, 2, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 13) to base 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4520 by -6.\nAnswer: -2260\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8 and 984.\nAnswer: 992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -128*l - 636. What is the tens digit of x(-30)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13 - 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -143520489*h**3 - 16*h**2 + 192810*h - 4.\nAnswer: -861122934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8120155 litres to millilitres.\nAnswer: 812.0155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of (-2)\/((-12)\/3042*3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 49 - 48. Let g be ((-12)\/(-16))\/(15\/(-10)). Put j, -3\/7, -2\/41, g in decreasing order.\nAnswer: j, -2\/41, -3\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -26798*f + 937373. Give u(35).\nAnswer: -557","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000138 to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -340\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5102045 divided by 5.\nAnswer: -1020409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1435 (base 6) to base 4\nAnswer: 11333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 24025, 22568, 21121, 19684?\n\"Answer: 5*r**2 - 1472*r + 25492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**3 + 53734 - 53734 + 10*h + (0 + 0 - 2*h**2)*(h + h - h).\nAnswer: -h**3 + 10*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(12\/712) - 0. Let n = 74 - w. List the prime factors of n.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 617346 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 19*w**3 - w**2 + 2*w. Let j be a(1). Suppose -3*h + j = 5. Let s be (-94)\/(-47)*5\/2. Solve 0 = h*g + 5*c + 40, 0*c - s = c for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 5:03 AM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 94062 and 732?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -16\/289, -2, 0.4, 5.38?\nAnswer: 5.38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w + 2 - 2)*(-4 + 3 + 3) + 5 - 5 - w - 3*w - 3*w + 5*w + 6*w + 4*w - 3*w + w + 3*w - 11*w - 19*w - 1 as i + u*w and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-24)\/10 - (-6)\/15. Suppose 8 = 2*o - 0*y + 4*y, -o - 3*y = -9. Let l be ((-12)\/9)\/((-4)\/o). Is c less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1382804227 divided by 1\nAnswer: -1382804227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1557 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rxcxcrxcrxxxxlcs. Give prob of sequence sx.\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9754 + -566?\nAnswer: -10320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 38, 81, 162, 293?\nAnswer: 486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.42 and -10087733.\nAnswer: 4236847.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7514 + -7514.7. Let z be (1 - 3)*5\/(-35). Let t = -0.1 - -0.5. Which is the biggest value? (a) t (b) 1\/9 (c) h (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 7:24 AM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-63)\/9)*((-1)\/(-6))\/(11\/165).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11031314 - 14112?\nAnswer: -11100431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 2\/3, -3, 16, 199 in decreasing order.\nAnswer: 199, 16, 2\/3, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10282130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13500, 27044, 40626, 54252, 67928, 81660, 95454?\nAnswer: 109316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6420 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4 - ((6 - 13) + 4) - -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 12 + 8)*(4*n**4 + 30*n**3 - 4*n**3 - 3*n**4) + n**3 + n**4 - n**3 in the form a + u*n**4 + p*n + x*n**2 + c*n**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((p - 3*p - 2*p)*(2*p + 1 - 1) - 3*p**2 + 0*p**2 + p**2 + 978*p**2 - 620*p + 620*p)*(p**2 + 4*p**2 - 4*p**2 + (-3 + 3 - 2*p)*(2 - 1 - 2)*(-2 + 2 - p)).\nAnswer: -968*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(2736) + 1*sqrt(76))*6 + (1*sqrt(114)*3)\/(sqrt(6) - 2*sqrt(12)\/sqrt(2)))**2.\nAnswer: 346275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -3 (b) 3 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3426, -3596, -4062, -4974, -6482, -8736, -11886?\n\"Answer: -25*b**3 + 2*b**2 - b - 3402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 522140*d**4 + 368*d + 141713589 wrt d.\nAnswer: 2088560*d**3 + 368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 644944 and 43694956?\nAnswer: 174779824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 17, 33, 53?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15390 by 5.\nAnswer: -3078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33014 and 170?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3326 - -3386. Calculate the remainder when 415 is divided by l.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**5 - 2*k**5 + 3*k**5 + 7 - 7 - 10*k**5 + (-k + k**2 + k)*(0 + 0 - 2*k**3) - k**3 + 12*k**5 - 10*k**5 + 16*k**5.\nAnswer: 4*k**5 - k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2 + 1849152*w + 427420389888.\nAnswer: 2*(w + 462288)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + v + 2. Suppose 11*d - 7*d = 36. Let b(z) = -4*z**3 + 5*z + 9. Determine d*h(s) - 2*b(s).\nAnswer: -s**3 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3*u**2 - u + 2. Let a(r) be the third derivative of r**5\/30 + r**4\/24 - r**3\/3 - 44*r**2 - 2*r. Suppose -8*m = -5*m + 9. Determine m*w(y) - 4*a(y).\nAnswer: y**2 - y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 27456505 - -0.2085\nAnswer: 27456505.2085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a week in hours?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1377 = 11431*n - 11380*n for n.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 32 = 7*t - 12*t, 0 = 4*k - 4*t - 32. Solve k*f - 17 = -5*w, -2*f = -5*w + 3*w - 10 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t - 8*t = g - 15644, -5*t = -20. Does 42 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k + 8. Let d(y) = -2*y - 16. Let f(q) = -2*d(q) - 5*r(q). Let x be (7 - 4)*(6 + -4). Determine f(x).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a millennium?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 21 = -6*c. Let q = -8 + c. Sort 5, q, -2 in decreasing order.\nAnswer: 5, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -12. Suppose -x + 22 = -v*r - 5*r, r = -x - 2. Solve 0 + 10 = -x*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -12*g + 68. What is the tens digit of v(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -780.692 and 0.24.\nAnswer: -187.36608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1158 is divided by 28?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-1 - 32\/(-36)). Suppose -18 = -4*r - 4*p + 10, -2*r + 3*p = -34. Let x = r - h. Which is the closest to -1? (a) x (b) -1\/8 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -2*sqrt(1584) + sqrt(44) + ((0 + sqrt(44))*-5)**2 + (2 + (sqrt(220)*-2)\/sqrt(5))**2.\nAnswer: -38*sqrt(11) + 1281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 296 - 117 = 107. Sort 4, -3, -4, r in descending order.\nAnswer: 4, -3, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-6)\/15 - 192\/(-5) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/12*(-2)\/8)\/6?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 43?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*k**3 - 5324*k**2 + 15944*k - 10624 = 0. What is k?\nAnswer: 1, 2, 1328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 4 = -f. Let y(b) = -b**2 + 4*b - 1. Let g be y(2). Is 149\/g - 4\/f a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60*x - 131*x + 6*x - 2)*(3 + 0 - 2)*(-4 + 4 + x**2).\nAnswer: -65*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 177360941 to the nearest integer?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.2, 0.1 in decreasing order.\nAnswer: 5, 0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*p - 39*p - 62*p - 50*p - 54*p - 43*p + 303*p.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/(-8)*-3*10\/45.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2*sqrt(175))**2.\nAnswer: 20*sqrt(7) + 701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 21*j - 82097, -2*g + 61276 = 4*j - 20846. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - f - 8, 5*u + 5*f - 5 = 15. What is the third derivative of -2*j**2 + 18*j**u + 3*j**2 - 21*j**6 + 15 + 9*j**4 wrt j?\nAnswer: -360*j**3 + 216*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36930.\nAnswer: 2, 3, 5, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14757*f*s**3 - 2*f*s**2 - 2428*f*s + 3*f - 6*s**3 - 6*s wrt s.\nAnswer: 88542*f - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -531325?\nAnswer: 531324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (64620\/269250)\/(5\/(175\/(-2)))?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-410*a - 187*a + 40*a)*(6 - 2 - 2 + (-3 - 2 + 3)*(0 + 3 - 4)).\nAnswer: -2228*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 11*o**2 - 12*o - 217. Let c(d) = 9*d**2 - 10*d - 219. Determine 6*c(w) - 5*f(w).\nAnswer: -w**2 - 229","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 117 by -21016.\nAnswer: -117\/21016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1961 - 417. Let s = 1555.992 - b. Let j = s - 12. Round j to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14890889 to the power of 1\/2, to the nearest integer?\nAnswer: 3859","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.11004 grams to nanograms.\nAnswer: 15110040000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 488466.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of v + 3 + 1\/2*v**2. What is the first derivative of z(h) wrt h?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44175 - 88683 + 44120)*(-2*l - l**2 + 2*l) + 2*l**2 - 1 + l + 1.\nAnswer: 390*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*a**3 + 0*a + 8*a - 7*a)*(5*a - 5*a + 4*a**2).\nAnswer: 60*a**5 + 4*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 418\/(-22) - -25 - (-110411 + -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 483637423?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 6*h - 11*h + 20*h - 7*h.\nAnswer: -4*h + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -35*r**2 + 2*r - 2. Let t(d) = -7591*d. Determine t(w(s)).\nAnswer: 265685*s**2 - 15182*s + 15182","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9, 2\/11, 0.02894?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/6 - (-74)\/3. Suppose -2*j + 10 = 3*m, 5*m - j = j + 22. Suppose -i - h = 3*f - m*i, 2*f + 1 = -i. Put f, -2, 5 in ascending order.\nAnswer: f, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 4*f**4 - 2380*f**3 + 464132*f**2 - 29370884*f - 29837400 = 0.\nAnswer: -1, 150, 223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, q: 2, i: 2}. What is prob of sequence qil?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -5 (b) -8\/19 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*g**3 + 6*g**3 - 14*g**3 + (-2*g + 4*g + 0*g)*(-4 + 4 - 2*g**2) + 2 - g**3 - 2 + 17*g**3 + 8*g**3 + 47*g**3 + 0*g - g**3 + 0*g.\nAnswer: 38*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of -y**8\/2880 + y**6\/180 + y**5\/30 - y**2. Let j(s) be the third derivative of o(s). Differentiate j(x) with respect to x.\nAnswer: -14*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 b when three letters picked without replacement from btomittttobiriotitto.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyvgygyggvggv. What is prob of picking 3 y and 1 g?\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -4*q**2. Let n(k) be the first derivative of -2*k**2 - 20. Give h(n(x)).\nAnswer: -64*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 21713482, 21713483, 21713484, 21713485, 21713486?\n\"Answer: z + 21713481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -152 + 153. Which is bigger: -7 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4513 - -4653. Calculate the highest common factor of 5012 and u.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from 17679676539.\nAnswer: 17679676537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 64561\/10 + -6450. Let r = 13\/2 - d. Find o, given that -4\/5*o**3 + 4\/5*o - r + 0*o**2 + 2\/5*o**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 92609?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*p**2*q**6 - 23*p**2*q**2 - p**2 + 41302*p*q**6 - 36*p*q wrt q.\nAnswer: 360*p**2*q**3 + 4956240*p*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4*v**3 + 3*v**2 + 3*v - 1. Suppose -9*h = -14*h - 35. Let j(z) = 9*z**3 - 7*z**2 - 7*z + 3. Let l(g) = h*a(g) - 3*j(g). Differentiate l(q) wrt q.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus 30640235973?\nAnswer: -30640235976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 7 = o, 4*p = -56*o + 57*o - 19. Suppose o*c - 4 = -c. Solve -5*a = -v - 29, -c = -5*v - 3*a - 6 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 265 (b) -3 (c) 1\/2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19179 - -7984. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9416, -26691, -43966?\nAnswer: -61241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (65395*y - 65395*y - 443*y**2)*(-2*y**2 + 2*y**2 + y**2) to the form u*y**3 + o + l*y + t*y**4 + q*y**2 and give t.\nAnswer: -443","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 3*w - 7*w)*(-1 + 1 - 1) + 2 - w - 2 + 6*w - 3*w - w + 190 - 190 + 20*w.\nAnswer: 23*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 202942102 and 129144974?\nAnswer: 1420594714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - j. Let s(l) = -2*l**3 - 5*l**2 - 4*l. Suppose -2*m + 3*n = -89, 0 = 5*m - 4*n - 339 + 120. Let v = m - 42. Give v*s(i) - 4*x(i).\nAnswer: -2*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -170 + 170 - 3*x**2. Let d(h) = 17*h + 4. Calculate l(d(w)).\nAnswer: -867*w**2 - 408*w - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 1:59 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19 or -189\/10?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -5) + (-81)\/15.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.91165139 rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42469, 169622, 381547, 678244?\nAnswer: 1059713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r - 8*r. Let d be 4\/(r - 3\/(-9)). Suppose -o - d = -4*o. Sort o, 3, 0 in increasing order.\nAnswer: 0, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/17 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -422 - -421.99074. Let j = h - -0.0016. Round j to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 43823*w + 43821*w - 203 + (-1 - 1 + 3)*(-2*w + 0 + 0) to t*w + b and give b.\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)*-4*-2 - sqrt(76))*-5)\/(sqrt(24)\/(sqrt(18)\/sqrt(3)) + (sqrt(44)*2)\/sqrt(11)).\nAnswer: -35*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 divided by 514.\nAnswer: 19\/514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 6 + 2)*(-3 + 3 - t) - 3 + 3 + t - 3*t + t + 0*t + 24*t + 17*t - 50*t)*(147 - 147 - 8*t)*(3 - 3 - 2*t).\nAnswer: -128*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -76333914 and -48.059.\nAnswer: -76333962.059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 94\/30 + (-4)\/30 + 0. Let g be (-3 + w + 1)*21. Let q = 36 - g. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 3:43 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 100 = -5*d. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1039\/146 - -300652\/41391. Find the common denominator of 35\/1296 and f.\nAnswer: 9072","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - 374427.1636?\nAnswer: -374426.7636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 8*b**2 + 56*b - 444. What is m(9)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 407 is divided by 230?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 266519 divided by 6\nAnswer: 266519\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j*(j*j**(-10))\/j)*j**(28\/5)*j)\/(j**27\/(j\/(j\/j**7)*j)) assuming j is positive.\nAnswer: j**(-17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26690, 26705, 26730, 26765, 26810?\nAnswer: 26865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(312)*1)\/sqrt(6))**2 + 5.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d + 4. Calculate z(-9).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -o - 2, -p + 3*o - 10 = -2*p. Suppose 4*l - 3*g - 3 = 12, -3*g = p*l - 9. Let c be l + 0 + (-2)\/(-1). Is 5 at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 108.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 947071444 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 7. Determine t so that 3*t**2 + 6*t**2 - 2*t**c + 4*t**3 - 5*t**2 + 2*t = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 6)*(3*f**3 - 2*f**4 - 3*f**3) - 8*f**4 - 9*f**4 + f**4 + (0*f**4 - f**4 + 3*f**4)*(4 + 3 + 0).\nAnswer: 4*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 152 - 159. Suppose 7*t + 12 = 4*t. Sort t, -1, z, 3 in descending order.\nAnswer: 3, -1, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - (-5 - (2 + -1)). Let z = 10 - -1. Let o = -7 + 10. Solve t - z = -o*j, -w*t + 2 = -2*t for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003040266 to five dps.\nAnswer: 0.00304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-63)\/12)\/(2\/(-24)). Calculate the highest common divisor of 35 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**4 + 4*y**4 + 0*y**4 - 3*y**4 - 3*y + 3*y + (2*y**3 + 0*y**3 + y**3)*(-3*y + 2 - 2).\nAnswer: -10*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.6 and 162888.\nAnswer: -97732.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -309, 40, -2, -540, 3 in descending order.\nAnswer: 40, 3, -2, -309, -540","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 1 + 8*w - 2*w - 6. Let y(l) = -l - 5. Suppose 3*t - 12 = -0*t. Let n(o) = 2*o + 6. Let v(k) = t*y(k) + 3*n(k). Determine -8*v(d) + 3*z(d).\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 10.5. Let k = d - -3. Which is the closest to -1? (a) -0.4 (b) 3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 43*b + 482. List the prime factors of n(34).\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2002106 is divided by 3588.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -p - 9, 0*x - p = 3*x - 6. Suppose -x = k, t - k = -0*k - 1. Let i be -4 + 3 - (t + 2). What is the highest common factor of i and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -710545722*l**3 + 396082440*l**2?\nAnswer: -4263274332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26564?\nAnswer: 2, 29, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1483 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(3\/8))**21*w\/((w**(-1\/19)*w)\/w)*w**(-3\/10))**18 assuming w is positive.\nAnswer: w**(59013\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 5*n + 14, 0*s = -5*s + 3*n + 27. Suppose -s*a + 19 - 4 = 0. Suppose -a*k + 13 + 7 = 0. Is 5 equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jkb when three letters picked without replacement from kbkjjbkjjukuuekkj.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3\/44, -4, -0.075, -1.\nAnswer: -4, -1, -0.075, 3\/44, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p + 507 = -54*p. Let b(f) = -f**3 - 10*f**2 + 24*f + 28. What is the tens digit of b(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*h**3*k**2 + 18250*h**3 + 64*k**2 wrt k.\nAnswer: -30*h**3*k + 128*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101374?\nAnswer: 2, 7, 13, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 59646 and -35318743.\nAnswer: -35259097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 107853?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-164769)\/9986*((1 - 4) + 1)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 16 = q + o, 12 = 3*o. Suppose c = -q*c + 14. Let s = -20 + 25. Solve -2 = -3*k - k - s*l, -l = -4*k + c for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 + 23 + 5)*(-4*r**2 - 2*r**3 + 4*r**2 + (-3*r + 0*r + 2*r)*(-r**2 - r + r) + 0*r**3 - r**3 - r**3 + 5*r**3 - 3*r**3 - 3*r**3).\nAnswer: -260*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -151 divided by 291.\nAnswer: -151\/291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1112023.4 + -75462821\nAnswer: -76574844.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - h + 217*b - 214 = 0, 2*h + b = 2*b + 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2.170524 * 14\nAnswer: -30.387336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (91 - 103) + (0 - -31). Solve 4 = 5*z - 4*g, -z - 14*g + x*g + 5 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -18\/19, -2, 1\/3?\nAnswer: -18\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 - 5*x + 5*x + 0*x**2 - x**2 + 3*x**2 + (-2*x + 0*x + x)*(-2*x + 2*x + x))*(-27*x**3 + 16*x**3 + 8*x**3 + 25*x**2).\nAnswer: -9*x**5 + 75*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 131 - 225. Let j = a + 100. What is the remainder when 19 is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 43252 = -27*o. What is the least common multiple of o and 14?\nAnswer: 13762","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210 + -102?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**2 - 23*x - 34. Let b be s(13). Solve m + 16 = b*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 183029?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 867.2 + -867.7. Let i(b) = 4*b + 1. Let j be i(-5). Sort 0.1, j, -0.2, x in descending order.\nAnswer: 0.1, -0.2, x, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*j - 10729 = -1760 + 9735. Calculate the remainder when 2502 is divided by j.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3 + 10. Solve l*y = 3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = t - 10*l + 11*l, -2*t + 2*l + 22 = 0. What is the remainder when t is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-3\/8)*l)**(13\/4))**(-7\/8) assuming l is positive.\nAnswer: l**(-1183\/256)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j + 1. Let h be d(-1). Suppose -3*a = -h*a + 15, 5*z - 2*a = 25. Suppose 4*l + z*r = 35, -3*l = 2*l + 2*r - 35. Solve l*u = -0*u + 25 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8c033 + -196?\nAnswer: 8be9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**2 - 15*j + 8. Let w be h(-10). Let a be (4\/(-2))\/((-4)\/w) + -3. Let v = 23 + a. Put -3, -1\/8, 0, v in descending order.\nAnswer: 0, -1\/8, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 5:54 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -9. Let o be (-18)\/14 + n\/21. Let i = -1194\/7 + 170. Which is the closest to o? (a) i (b) -1\/7 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1083192 divided by -4\nAnswer: 270798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6307)\/(-901)*1*(-2)\/2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 3:04 PM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 575072 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 4. Let r = -0.7 - 0.3. Is r less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23584 and 169520.\nAnswer: 249872480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of 17*c**8\/336 - c**6\/15 - c**5\/15 + 2*c**4\/3 - 5*c**3\/6 + 19*c**2 + 2*c + 14. What is the third derivative of p(g) wrt g?\nAnswer: 1020*g**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 422 (base 6) to base 8\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 453 * -1808.29.\nAnswer: -819155.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 743982226 less than -25845?\nAnswer: -744008071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -9*k**3 - 40*k**2 - 80*k - 9. What is the least common multiple of 2520 and r(-9)?\nAnswer: 20160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*(-3 - (3 - 5)). Suppose -4*s - 34 + 10 = r. What is the common denominator of 29\/6 and (s\/77)\/(8\/434)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -215\/7 - -31. Which is the third biggest value? (a) q (b) -5 (c) -76\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 - 19. Suppose 10*b + 2*b = 324. Calculate the greatest common divisor of b and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 958978511?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16559 and 35544.\nAnswer: 588573096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is e03 (base 15) in base 14?\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (775 + 813 + 590 - 441)*(2 - 2 + j).\nAnswer: 1737*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19*m**2*p - 23521*m**2 + 2*p**2 + 12*p wrt p.\nAnswer: 19*m**2 + 4*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 3*z. Let b be ((-10)\/(-25))\/(2\/20). Let p = b + z. Let u(g) = 4*g - 4. Let n(s) = 3*s - 3. Determine p*u(k) - 5*n(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -396*h - 89*h - 16844 - 6565 = -196*h for h.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1043.3 + 1173.3. Which is the nearest to 0.1? (a) d (b) -5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**2 + 3*k**2 - 3*k**2 - 2 + k**3. What is the units digit of r(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -32eb + -37?\nAnswer: -3333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*64\/(-288)*69\/(-24)*-12?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4229 + -4228. Let g = 0.08 + -2.48. Let v = -1.4 - g. What is the nearest to v in 0, d, -6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - k = 2302. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31572564 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j - 33. Let s be z(-7). Let m be (-8)\/s + 2875\/3. Suppose 205 + m = 12*p. List the prime factors of p.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1998 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 683?\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-2))\/((-104)\/64). Let o = b - -21\/26. Factor o*r - 1\/3 - 1\/6*r**2.\nAnswer: -(r - 2)*(r - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 398466 and 7172388?\nAnswer: 7172388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1006 + 0.3994. Let c = 3\/62 - 207\/434. Sort -0.5, t, c, -3 in increasing order.\nAnswer: -3, -0.5, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 13426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 807*j + 11375 = -1468*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d*t**4 + 15*d*t**3 + 1648295*d*t**2 + 1507*t**4 + 13*t**3 wrt t?\nAnswer: -24*d*t + 90*d + 36168*t + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.02 - 0.38. Let g = -202 + 403\/2. What is the closest to -1 in v, -0.3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (115\/15)\/((-5704)\/7440).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21071*a - 21060*a = -12 - 329 for a.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 + t. Let r be l(-2). Let -8*v - 1\/2*v**5 - 12*v**3 - 4*v**4 - 16*v**r + 0 = 0. Calculate v.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1738872*i**2 - 2419247.\nAnswer: 3477744*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -11*w + 7. Let i(q) be the second derivative of -1\/2*q**2 + 1\/6*q**4 + 1\/42*q**7 - q + 0 + 1\/6*q**3 - 1\/10*q**5 - 1\/30*q**w. Factor i(k).\nAnswer: (k - 1)**3*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -99 - -52. Let b be o\/(-1) - 2*1. Let u be (-750)\/875 - 216\/(-7). Calculate the highest common divisor of b and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -148 times -486?\nAnswer: 71928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 30079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 4*i - 10 = 3*i, -i + 7 = 3*f. Suppose -3*w - p + 10 = 3*p, 3*w - f*p = 45. What is the lowest common multiple of 18 and w?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 6*a**2 - 8*a + 19. Let t be s(5). Let b = 12 - -7. Suppose 3 = 3*f, -7*f + b = 5*d - 3*f. Solve -n - t = -d for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 78330 + -17353?\nAnswer: 60866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0333 times 10.75?\nAnswer: 0.357975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ohoh when four letters picked without replacement from hohho.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - 0) + 1766175 + 27 + 2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -3. Suppose -1 = p + t, -2*t + 0 = -i*p - 23. Which is the second biggest value? (a) p (b) -0.2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (234\/(-156))\/((-5)\/2)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7631, 15937, 24929, 34607, 44971, 56021, 67757?\n\"Answer: 343*x**2 + 7277*x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.35 + 0.05. Which is the biggest value? (a) v (b) 0.2 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of g**6\/12 - 6*g**5\/5 - g**4\/4 + 4*g**3 + g**2\/4 - 6*g + 632. What is a in x(a) = 0?\nAnswer: -1, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -54\/103 or 0?\nAnswer: -54\/103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 216131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**2 + 614850*m + 16603137 = 0. Calculate m.\nAnswer: -27, 204977","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -37 + -26?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-4))\/(1*9\/(-78)*(-1)\/(-18))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/((-16950)\/1243))\/((9\/(-3))\/(-18)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s + 2*s - 4*s)*(-s + s - s) - 5*s**2 + 7*s**2 + 2*s**2 + (2*s - 2*s - 3*s)*(-s - 3 + 3).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/4*(-12)\/46. Let o = t - -61\/230. Suppose -4*w - 24 = y, -4*w + w - 23 = 2*y. What is the third biggest value in w, 0.5, o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -44560?\nAnswer: -1\/8912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppopppopppoppppoppp. Give prob of picking 3 o.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -5058*t + 28. Let d be s(-7). Is d\/14 + 1 + 1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -452 - -448. Let n(h) = h**3 + 6*h**2 + h - 20. Calculate n(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2 + 14822064*u + 54923395305024.\nAnswer: (u + 7411032)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*c**3 - 4703*c**2 - 19422.\nAnswer: -21*c**2 - 9406*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m - 2*m + 4*m + (-89 - 63 + 116)*(m + 2*m - 5*m).\nAnswer: 73*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/13455 and -1\/99.\nAnswer: 148005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 3*i - 335, -112*u + 111*u = i - 113. Calculate the highest common divisor of i and 756.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 35, 95, 207, 389, 659?\nAnswer: 1035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus 0.583314592?\nAnswer: 0.483314592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 252975267 or 252975271?\nAnswer: 252975271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a tonne in kilograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4359, -2\/3, 3.43 in decreasing order.\nAnswer: 3.43, -2\/3, -4359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 x when four letters picked without replacement from {s: 9, x: 2}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/12 and (-5 - 27\/(-6))\/(3 - -5).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -9148, -18270, -27392, -36514, -45636?\n\"Answer: -9122*x - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -135, -269, -397, -519, -635?\n\"Answer: 3*p**2 - 143*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 7*t**2 + 7*t - 6. Let q be c(-8). Let m be (q\/(-8))\/((-6)\/(-12)). Suppose -2*x - 19 = -5*w, -5*w = -w - 12. Which is smaller: x or m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p**2 + 3*p + 4. Suppose 3*g = 9*m - 11*m + 93, 4*m - 3*g - 159 = 0. Let z be m\/12 + -1 - (-6)\/4. What is u(z)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z. Let w(t) = 57*t**2 + 21. Let g(r) = 11*r**2 + 4. Let a(o) = -21*g(o) + 4*w(o). What is a(i(p))?\nAnswer: -27*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 9:59 AM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -55506? (a) -0.4 (b) -7\/22 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 9441 = 3*a + 9502, 0 = -t + a + 27 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 44 = -2*c + 4*l, -5*c + 4*l = -107. What is the remainder when c is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x + 5*x - 2*x + (x - 7*x + 9*x)*(-2 + 0 - 1) in the form t + z*x and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(180)*-6 - -5*5*sqrt(5)*3)**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -531, -5, 1\/6.\nAnswer: -531, -5, 1\/6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + (1 + -14 - 2). Let z = c + 3. Let h be (2\/z)\/((-16)\/100). Which is bigger: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7455303106 plus 495?\nAnswer: -7455302611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 9:05 PM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4361.3 - 4361.7. Suppose 0 = 3*o - 0*s + 3*s - 15, 5*s = -4*o + 23. Sort -20, 3\/4, d, o in ascending order.\nAnswer: -20, d, 3\/4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -72*c - 3. Let n(r) = -68*r - 3. Give -6*m(f) + 5*n(f).\nAnswer: 92*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 2 - 4)*(-r - r + 0*r) + 1481 - 1481 - 172*r)*(7 - 2 - 3).\nAnswer: -340*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4946, -0.1, 0.4 in increasing order.\nAnswer: -0.1, 0.4, 4946","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 42?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 8*a + 8*a)*(-2*a + 0*a + 0*a) + (1 - 1 + 2*a)*(-a - 5*a + 5*a).\nAnswer: -30*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 825687095.\nAnswer: 5, 163, 823, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 64494 divided by -18\nAnswer: -3583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(-1 + 1 + 2*s) + 10*s + 15*s - 16*s + (-s + 0*s - s)*(-3 + 3 + 2) - 4*s + 4*s + 2*s + s + s - 4*s.\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 379613.652 and 0.2.\nAnswer: 75922.7304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 328350 to the power of 1\/2, to the nearest integer?\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 651 + 21. Suppose 2*t + 221 = p, -3*p + f = 6*t - 3*t. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.611839cm to millimeters.\nAnswer: 76.11839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/24762 and -123\/20?\nAnswer: 247620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 138858*c*f + 36515*c wrt f.\nAnswer: 138858*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15\/(-20)*(-16)\/6. Let l(k) = 1799997*k + 6. Let n be l(u). Round n to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124 divided by 2669?\nAnswer: 124\/2669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.3209667 rounded to two dps?\nAnswer: 14.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -4, -153\/91, -85 in decreasing order.\nAnswer: -0.3, -153\/91, -4, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1416, 0.1, -3?\nAnswer: -0.1416","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 90765 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -130691 - -76691. Round r to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.8 + 3.2. Let l = -0.013 - 7.987. Which is the nearest to 2\/9? (a) l (b) n (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100 - -1?\nAnswer: 11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -g**6\/15 - 15*g**4 - 905*g**3\/6 + 504*g. Find the second derivative of f(i) wrt i.\nAnswer: -24*i**2 - 360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)*6*-4)**2 + sqrt(50) + (sqrt(100) + sqrt(100) + sqrt(100) + sqrt(100)*-1)\/sqrt(2).\nAnswer: 15*sqrt(2) + 28800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2 = t, 0 + 2 = -z - t. Suppose z = 6*m - 11*m + 50. Let k(n) = n**2 + 2*n + 7. Is k(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (39\/2)\/(3\/4)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - p + 5. Let z = 35 - 42. Let f(u) = -u**2 + 7*u + 6. Let r be f(z). Let v be 23\/(-6) + (-4 - r\/24). Determine q(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + -1 - 2*1. Suppose l = 3*v - 7*v + 12. Suppose -v*r = -26 + 8. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/(-4))\/((-174)\/(-16)))\/((-308)\/462).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44 by 110.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + y - 262 = 0. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2702470 and 35510.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3 = -3*s, -3*s - 9 = 3*v + 6. Let b(f) = -f**3 - 2*f**2 - f - 4. What is b(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.73*-0.5\nAnswer: -0.365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of 7*m**5\/20 + 2*m**2 + 6*m - 4. Let x(v) be the first derivative of y(v). Find the first derivative of x(k) wrt k.\nAnswer: 21*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + l**2 - 4*l - 2. Let m(g) = -23*g**3 + 6*g**2 - 17*g - 49. Calculate m(y) - 5*x(y).\nAnswer: -18*y**3 + y**2 + 3*y - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12255 and 570.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 + 2)*(-2*j - 3*j + 4*j) to y*j + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 380770733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, h: 10, o: 3, s: 2}. What is prob of sequence eeo?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 215649 and 2499.\nAnswer: 3666033","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -111*b - 18086. What is f(-198)?\nAnswer: 3892","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - (-21)\/(-15))*5. Let r(k) = -8*k - 147. Let h be r(-19). Let f be (g - -920002)\/(h\/50). Round f to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2709 * -1.\nAnswer: 0.2709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 16d (base 15) in base 10?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*f - 35*f - 363*f**3 + 13*f - 71*f**3)*(31 - 1 + 11).\nAnswer: -17794*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**2 - 3*n**2 + n**2)*(47 - 18*n - 47 - 2*n - 2*n + 2*n + (0 - 1 + 0)*(-4*n + 4*n + 2*n)).\nAnswer: -44*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 356829 and 2365.\nAnswer: 76718235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -4*w + 14, -16*w - 2*q - 6 = -12*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a meter in centimeters?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2 - p - 4. Let r(g) = -2*g**2 + 4. What is -6*f(n) - 5*r(n)?\nAnswer: -2*n**2 + 6*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(1*12))\/((-162)\/288*-1).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*c**2\/3 + 892*c\/3 + 1376.\nAnswer: -(c + 4)*(35*c - 1032)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 2*n**2 + 6*n + 3. Give s(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -21. Is (-4)\/v + (-26550)\/(-70) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 280 and 54?\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 4 = -2, -2*z + 24 = -4*h. Let j = 88 + -73. What is the remainder when j is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3130102 (base 5) to base 7.\nAnswer: -304214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/5 (b) 2\/11 (c) 0.09 (d) -2\/9 (e) -11 (f) -0.39 (g) 2.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 7:09 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*b - 224 = 5*b. Calculate the remainder when 6956 is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.019 * 13.\nAnswer: 0.247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1493 + 1492.94. Let r = 11 - 11.01. Sort j, r, 2\/15 in increasing order.\nAnswer: j, r, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/3, 486, -1\/3, -0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1194011?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 7*s - 6. Let o be x(6). Let p(w) = -32 - 35 + 69 - 4*w**3 + 3*w**3. Determine p(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33*(-1300)\/3300 - (183\/4 - (-57)\/(-76))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u - 7. Let g be a(9). Suppose 16*i + 4 = 18*i. Suppose -i*b + 33 = 29. Is g >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49198 is divided by 171?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.218162s to nanoseconds.\nAnswer: 6218162000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49658 + 3844. List the prime factors of r.\nAnswer: 2, 3, 37, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l - 25. Give x(15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 574600 = 3470*j - 3450*j. Does 13 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -72, 1.7, 5, -8, 1\/6, -0.06, -4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 + 21. Suppose q + 207 = 2*u, i*q - 82 - 35 = -u. What are the prime factors of u?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of 5*t + 0*t**2 + 0 - 1\/6*t**3. Suppose 0 = g + 4*g + 20. Give i(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3944940 by -986235.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 285672 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 178*p + 4276. Let i be l(-24). Solve -g + 4*u - 6 = -12, 12 = -i*g - 2*u for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p. Let j(h) = h**3 + 3*h**2 + 4. Let m(w) = -w**3 + w**2 - 1. Let x(b) = j(b) + 2*m(b). Let a be x(5). Let q(i) = a - 2 - 19*i. What is q(l(v))?\nAnswer: -38*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1674 - 1671. Solve o*g = -l + 8, 0 = l + 5*g - 10*g for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 0, 570, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 813416673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14.9974 + -14.61. Round p to three dps.\nAnswer: 0.387","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 5*l + 3. Let g be ((-808)\/(5 + -9))\/(-2). Let r = g - -95. Let v be m(r). Round v to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of 147*t**6\/160 - 35*t**5\/16 + 11*t**4\/12 - t**3\/6 - 80*t**2 + 3*t. Suppose s(l) = 0. What is l?\nAnswer: 2\/21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2585613824 rounded to 4 decimal places?\nAnswer: -0.2586","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-40 - -39 - (-2 - 34))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64997, -259580, -583887, -1037918, -1621673?\nAnswer: -2335152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + 2*y**2 + 0*y**2 + 3*y. Let o(c) = c**2 + 10*c + 4. Let v be o(-9). Let q be f(v). Solve 6*s + q = s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 14470?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 484\/7 + 6\/(-42). Suppose 57 + f = 9*h. Let v(n) = 2*n**2 - 28*n + 4. Let y be v(h). Solve -t = 3*r - 7, 5*t = y*r + t - 20 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*v = 25, -v = 2*x - 3*x + 8. Let b(i) = 2*i**2 + 2*i**2 - x*i**2 + 0*i**2. Let f(y) = 2*y. Calculate f(b(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 14*w - 9. Let z be r(-12). Let u be (-2)\/(-5) - z\/55. Let d be (-346)\/(-330) - u - (-6)\/45. Put 0.4, 0.2, d in ascending order.\nAnswer: d, 0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 188 + -186. Find l such that -145*l**3 - 145*l**3 + l**y + 291*l**3 + 20 - 16*l = 0.\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 28 = 4*u, -46*c + 5 = -41*c for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 26543 * 0.04\nAnswer: 1061.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 5:36 AM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34 + 32. Let k be (-10)\/(-2 + 4 - 4). Suppose k*v + 6 = l. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-10)*(-270)\/(-36).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 151234519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + 4*c - 6*c**3)*(c + 7*c - 3*c) + (0 + 0 + 5*c**2)*(-3*c**2 + 7*c**2 - 3*c**2 - 2*c) + (3*c + c - c)*(2*c**3 - 6*c**3 + 5*c**3).\nAnswer: -22*c**4 - 10*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hlllllllllh. Give prob of picking 2 h and 1 l.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1318120 and 4464?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17316 and 4995.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 300 a factor of 51600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2381965, 4763927, 7145889, 9527851, 11909813?\nAnswer: 14291775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 10. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j*j*j**(-4)*j)\/j*j\/(j*j**(1\/55)))\/((j*j**(-2\/29)\/j)\/j)**(-4\/5))**(-3) assuming j is positive.\nAnswer: j**(8964\/1595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 117471923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1062?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -1000011?\nAnswer: 111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1186550 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 9*v**2 + v - 3. Suppose b = j + 13, -4*b + 3*j - 30 + 78 = 0. What is the lowest common multiple of b and r(9)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -2\/5 (c) 0.3 (d) 7 (e) 5 (f) 56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -530 - -531. Calculate the greatest common divisor of 3 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -10*s**3 - 2*s**2 + 6*s. Suppose 0 = 3*o + 5*u + 20, -6*o - u - 26 = -o. Let y be z(o). Round y to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2987?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -54*i + 27*i + 27*i + 45 - 52*i**2 with respect to i.\nAnswer: -104*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299 is divided by 100?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31913167 by 36.\nAnswer: 31913167\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*n*o**3 + 57*n + 111900*o**4 - 173*o**2 + 5*o wrt o?\nAnswer: -24*n + 2685600*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11078739?\nAnswer: 3, 7, 175853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -55971561 + 55971538.000279. Let k = -23 - l. Round k to 5 dps.\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-90)\/(-60))\/(1*(-3)\/4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, m: 11}. Give prob of sequence mmy.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -40348603*p*y + y + 12591908 wrt p?\nAnswer: -40348603*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11469 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3776603231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(704) + -3)**2.\nAnswer: -48*sqrt(11) + 717","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3*a**2 + 21*a + 3. Determine q(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 38642 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: Let w(v) = 5*v**2 + 8*v + 6. Let g(o) = -2*o + 3 - 5 + o - o**2 + 1. What is -6*g(l) - w(l)?\nAnswer: l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-100)*16*2788\/1088\nAnswer: 41\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2380\/490*1\/2*-1. Which is the third smallest value? (a) 5 (b) -5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 67 - 19. Calculate the highest common factor of 84 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -361*x**5\/5 + 3686*x**4\/5 - 5096*x**3\/5 - 5008*x**2 + 5424*x\/5 - 288\/5 = 0. What is x?\nAnswer: -2, 2\/19, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20977 at most 20977?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 371459028?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-8) + (-4)\/(-16). Suppose 3*j - 12 = -c. Solve -j = -2*k - 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_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: Sort -2431006\/5, 146, 3 in increasing order.\nAnswer: -2431006\/5, 3, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*n + 12989*n**2 - 12981*n**2 + 2*n in the form v + a*n + u*n**2 and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*t - 2 = 30*t. Let v(u) = -6*u**3 - 2*u**2 + 1. Let s be v(-1). Put -3, t, s in decreasing order.\nAnswer: s, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62962 to the power of 1\/2, to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10101011100110 (base 2) to base 4\nAnswer: 2223212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 131 = -0*b - 11*w, -4*w - 34 - 26 = w for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/15 (b) -2\/13 (c) 3 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -4, 5, 194 in ascending order.\nAnswer: -4, 5, 22, 194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 44 = -4*d, 94 = 5*n - 2*d - 8. What are the prime factors of (2\/(-3))\/(n\/(-330))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/330550 and 41\/3606.\nAnswer: 991650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-68)\/10)\/((-8)\/20). Suppose 0 = -2*d + 3*z - v, 3*z - 11 = -4*d. Let t(w) = 3*w. Determine t(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 w when three letters picked without replacement from {w: 2, g: 2, u: 4, c: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c**2 - 3*c. Let p be h(-6). Let u = -74 + p. Suppose -u = -0*k - 4*k. What is the highest common factor of k and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 41\/6 of a year?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 172*d - 2 + 17*d**2 + 13 - 163*d. Let t(s) = 8*s**2 + 4*s + 5. Determine 9*t(a) - 4*z(a).\nAnswer: 4*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/225664486 and -49\/5816095.\nAnswer: 1128322430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 57 by -6.\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4 + 41*j**3 + 532*j**2 - 5660*j - 58800.\nAnswer: -(j - 49)*(j - 12)*(j + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (228\/27*(-12)\/8)\/((-18)\/(-27)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1313 and 707?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1893686121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (15 - (5 - (-11 - -9))) - -14.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1503260 and 176.\nAnswer: 6013040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33417 and 693225.\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 PM and 12:43 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -36.80499 and 7053.091.\nAnswer: 7016.28601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -311*v**2 - 22660*v + 3134. What is p(-73)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 451?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 488.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 3*a + 90. Let c = -14 - a. What is the first derivative of 5 - 3 - 2*k**c + 9*k**4 - 1 wrt k?\nAnswer: 28*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o - 4. Let h be m(7). Suppose 0 = 3*t - t - h. Solve -2 = 2*x + k - 3*k, 5*x + t*k - 45 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -23, 2, 61, 172, 353, 622?\n\"Answer: 3*a**3 - a**2 + 7*a - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -472 - -469.8. What is the second smallest value in f, -0.4, 1\/4, 2\/19?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6998 is divided by 31.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3468888 divided by -144537\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence au when two letters picked without replacement from euaabaca?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v + 5. Let x(p) = -91*p - 467. Let h be x(-5). Give u(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14106?\nAnswer: 2, 3, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3784 + 3?\nAnswer: 3787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8528 = 4072*a - 4280*a for a.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -8 - 96, -2*h = -0*h + 8*h - 5*h - w - 37 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = 8*h - 5. Suppose 5 = k + h*s + 1, -2*s - 2 = 0. Calculate the remainder when 15 is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*b - 5*b - 2*b**3 + (-b + 0*b - b)*(-3*b + 3*b - 2*b**2) + 2 - 10*b**3 - 7*b**3 + 16*b**3.\nAnswer: b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 14*a. Let b(t) = -8*t + 21*t - 20*t. Give o(b(s)).\nAnswer: -98*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -270 - -270. Solve o = 5*z - g - 0 - 5, 2*g - 1 = -z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) + -4)**2 + -4 + (sqrt(20)\/sqrt(4) - sqrt(5))**2 + sqrt(45)*-1 + sqrt(5).\nAnswer: -98*sqrt(5) + 732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*p = -59*p - 48 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.077, 728473, -4\/5?\nAnswer: 728473","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -407\/72 + 47\/8. Let h be (-6)\/(-4)*(-10)\/(-6). What is the biggest value in h, t, 0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -6894.\nAnswer: -6895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -8 (c) 19 (d) 1.14 (e) 0.2 (f) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2096 and 2096.\nAnswer: 2096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6712213t to grams.\nAnswer: 671221.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 18 + 136. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((624\/40)\/(-13))\/((-3)\/(-100)*4)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 246*s - 1853. Calculate i(6).\nAnswer: -377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 4*h + 1. Let z = 1 + 5. Suppose -5*j - 9 = -3*a, z*a - 9 = 3*a + 2*j. Let f be l(a). Solve 2*y = -2*y + f for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 3*c**2 + 3*c - 2. Let z be v(-4). Let 2*s**2 + 0*s**2 + 2*s - 1 - 3*s**z = 0. Calculate s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 2*g + 907, 6*x = 4*x + 2*g + 364. Is 49 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244778173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04 - 2105.\nAnswer: -2105.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - n - 2*u - 3, -n - 4*u + 15 = 0. What is the derivative of -y + 4 - 1 + n*y - 1 wrt y?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 1406 + 306 = 0. Let u = z - 224. What is the smallest common multiple of 9 and u?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**4 - 442*a**3 + 26*a**2 - 20510*a - 3 wrt a?\nAnswer: 24*a**2 - 2652*a + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 497 + 1a6?\nAnswer: 64d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 766, 5607, 18612, 43861, 85434?\n\"Answer: 680*k**3 + 2*k**2 + 75*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of 0*q**3 + 0 + 0*q**5 - 2*q - 26\/35*q**7 + 269*q**2 + 0*q**6 + 31\/8*q**4. Find the second derivative of d(s) wrt s.\nAnswer: -1872*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, m: 1, o: 1, x: 1, f: 1}. What is prob of sequence xtom?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10318.08 rounded to the nearest ten?\nAnswer: 10320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*a*y**2 - 10*a*y + 72*a + 919739*y**2 + 31*y - 21 wrt y.\nAnswer: -30*a + 1839478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mjxwymyfmmmmmjf. Give prob of picking 2 f and 2 y.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*n**3 - 81*n - 81*n - 153*n**3 + 242*n - 80*n.\nAnswer: -79*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w - 2 - 66 = 0. Solve 4 + 4 = w*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1330765 and 7186131?\nAnswer: 35930655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (126411\/65385)\/((-1)\/(-15))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((13232\/22)\/(-8))\/(-1) - (1 + 0). Is 74 >= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -2*w + 4, 10*b - 6*b = w - 29 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -4*w**2\/3 + 8*w\/3 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2070 is divided by 230?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 242, 243, 244, 245?\nAnswer: 246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 62 and 186?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63 + 73\/(2044\/(-504))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2 + 4. What is the common denominator of 158\/k - (-5 + 1) and -63\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(5 - 1\/(-24)*-116). Solve 0 = -a*i + 2*i + 40 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58293380.\nAnswer: 2, 5, 43, 67783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 4*i - 1, -1 = -4*i + 3. Let u = -0.127 - -151.127. Let n = -153 + u. What is the closest to 0 in o, 2\/7, n?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6082 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c89 - 3?\nAnswer: c86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1059\/2 <= -628?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-45) - 236951\/(-195). Suppose -16*i + 19*i = h. What are the prime factors of i?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00136694 to four decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 10 = 3*p. Let k = 0.019749 - -0.080251. What is the closest to -0.2 in k, 0, p, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29136410 or 29136409?\nAnswer: 29136409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kvvv when four letters picked without replacement from {k: 5, v: 3}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(180)*-5 + sqrt(180))\/sqrt(4))\/(sqrt(54)\/(sqrt(24)\/sqrt(4)) + sqrt(144) + -1*sqrt(144) + sqrt(144))*-6.\nAnswer: 84*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + -21. Let m(i) = 2*i**v - 12*i - 4*i - 3 + 7. Let j be m(8). Solve 4*z - j = -0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47383176 and 228?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 55, 113, 173, 235, 299, 365, 433?\n\"Answer: z**2 + 55*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 18723?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 217, 224, 235, 250?\nAnswer: 269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1108434?\nAnswer: 2, 3, 17, 10867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 66*n**2 + 4*n - 4*n. Let h(g) = 19*g**2 - 5*g - 15. Let j(k) = -15*k**2 + 4*k + 12. Let a(z) = 4*h(z) + 5*j(z). Calculate a(i(f)).\nAnswer: 4356*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -225 divided by 3.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h**(2\/17)\/h)\/h)*h**5*h**(-1\/2)\/(h\/(h\/(h\/h**1))))\/((h\/h**(1\/4))**45)**(-36) assuming h is positive.\nAnswer: h**(41561\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 128\/9 + -14. Which is the nearest to 3? (a) -11 (b) 4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4677 + -4681. Suppose 0 = 2*i + 3*i. What is the closest to i in b, 9\/7, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.24036 - 0.2676541. Let p = r - 8.9732459. Let o = 9 + p. What is o rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -228*x - 161. Let i be y(-3). Suppose -3*d + 2290 = i. What is the hundreds digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 364.9569ug in milligrams?\nAnswer: 0.3649569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 51 = 2*w. Suppose -c = 4*m - w, m + 2*m + c = 14. Suppose 2*y - 8 = -2*y. Solve y*o = 3*o + j + 1, -21 = -m*o + 5*j for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2760 = -k + 2710. Let u be 6\/(-2)*k\/15. Let i = -715 - u. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/((-30)\/3))\/(-2*2\/90).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-64)\/24)\/(2\/(-3)). Suppose 0 = -d*i + 8 - 28, -4*p - 5*i + 3 = 0. Let h(a) = a**2 - 2*a + 5. What is the remainder when h(4) is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 10:05 AM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -553.64 + 549.4299. Let z = c - -0.0301. Let m = z - -0.18. What is the closest to 2 in m, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14129*j**4 + j**2 - 8*j - 6 wrt j?\nAnswer: 339096*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 626029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - ccd3?\nAnswer: -ccd8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -3\/8*u**4 + 2 - 1\/2*u**3 + 0*u - 1\/10*u**5 + u**2. Let x(m) = 3*m**2 + 4*m + 1. Give -2*j(v) - 5*x(v).\nAnswer: -3*v**2 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*v + 189 = 94*v. Calculate the highest common divisor of 27 and v.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 18*t + 5. Give c(-23).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -426*y + 450*y + 168 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -102*p - 36. Let u(a) = 207*a + 79. What is 5*r(j) + 2*u(j)?\nAnswer: -96*j - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -128970 divided by -42990\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 61\/4 of a litre?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-61)\/(16104\/(-480)) + 2\/11. What is the third biggest value in f, 1, -2\/5, 3, 0.126?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 8.645319 millennia?\nAnswer: 8645.319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 459?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 + 38274*f - 117514056.\nAnswer: -3*(f - 7612)*(f - 5146)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 351*m - 25 + 5 = 331*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -582 greater than or equal to -581?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 4*d - 14. Suppose -d*k - 6*k + 8584 = 0. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, f: 3, w: 2, b: 6}. Give prob of sequence fswb.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12cdd137 - 2?\nAnswer: 12cdd135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 4*a**2 - 3. Let f be j(-4). Let l = f + 5. Suppose -4*s - 329 = -t, -628 = -l*t - s - s. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 16 - (-358 - -333).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/((-7)\/5))\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -v + 0*v + v - 2*v as p + q*v and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**3\/3 + 42*v**2 + 882*v + 6174 = 0?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5304 and 8.\nAnswer: 5304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*m - 50*m + 4*m)*(2 + 0 + 7 + m).\nAnswer: -71*m**2 - 639*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 3*u - 360 = -51, -u = -5. Let m(p) = -p**2 - 15*p - 15. Let d be m(-9). Let l = h - d. Does 20 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.02 - 0.01. Let d = 0.03 + j. Are -1 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49273 (base 15) to base 8\nAnswer: -707731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s + 2*s - s)*(17 - 8 + 15)*(13 - 44 + 147)*(0 + 0 - 1) to z*s + u and give z.\nAnswer: 2784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of c**5\/60 - c**4\/4 + 3*c**2 + 5. Let y(g) = -g**2 - 6*g - 3. Let n be y(-4). What is a(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3686435 is divided by 3468?\nAnswer: 3419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -374*t = 84*t - 2290. Suppose 15 = 5*r + 3*z, 0 = r - 4*z - z - 3. Sort -4, r, -1, t.\nAnswer: -4, -1, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 38803 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + j + 14 = 37, -4*f - 3*j - 7 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jsjsnsssssssjsssn. What is prob of sequence nsss?\nAnswer: 11\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-180 + 8*g + 180)*(-5 + 4 - 3).\nAnswer: -32*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 9 (c) -3\/182 (d) -4 (e) 2 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -7*p**2 - 6*p + 26*p + 2*p - 5*p + 11*p. Let s be b(4). Solve 0*n - n = l - 4, s = -2*l + n - 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/(-462))\/((-1362)\/(-12712))?\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49720708977 less than -0.3?\nAnswer: 49720708976.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.6 and 453303.\nAnswer: 453304.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iipipiiippi. What is prob of sequence pp?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 4:46 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*p - 2*p - 4*p + 0*p + p + p + (4 - 4 - 2*p)*(1 - 3 + 0) + p + 15*p + 4*p + (-2*p + 3*p + p)*(-2 + 0 + 0) as x + f*p and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -9*w. Let h(x) be the third derivative of 0*x**3 + 204*x**2 - 1\/6*x**4 + 0*x + 0. What is l(h(k))?\nAnswer: 36*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 240 and 24453384.\nAnswer: 244533840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3103 or -34124\/11?\nAnswer: -3103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4203.807 years in centuries?\nAnswer: 42.03807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5*q - 22455. Let w = 16317 + q. Let o = 3932 - w. Round o to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29070 + 2436 = 1809*o + 47535 for o.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14388300, 28776531, 43164764, 57552999, 71941236?\nAnswer: 86329475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 0.5. Let l = 3 + -1. Let x = 3 - l. What is the nearest to x in 0.5, 1, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 175108585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and 77.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of v**3\/3 - 19*v**2\/2 + 5*v - 3. Let f(r) = 10*r + 1. Let g be f(1). What is the units digit of o(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 756770.4 decades to months.\nAnswer: 90812448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 526 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g + 2*g + 2*g)*(-56 - 34 + 20) to the form f + u*g and give u.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7699992 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that p**2\/3 - 1210*p\/3 - 808 = 0.\nAnswer: -2, 1212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/6)\/(-6*12\/(-162)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29241938?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48 - (-41)\/(87904\/(-102976))?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 2*a - 7*a - 5 = 0, -200*f + 7 = -197*f - 4*a for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 63*(18\/4)\/(2205\/210)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 8:10 PM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1743)\/2 - (-4)\/(-8). Let o(u) = 3*u**2 - 3*u + 3. Calculate the remainder when (-12)\/42 - d\/14 is divided by o(3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 12702575.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 4 = 4*u, -4*u = 3*o - 0 + 1. Let a(i) = i**2 + 2*i - 6. Let g be a(u). Let d(y) = y**2 + 6*y + 1. Let v be d(-6). Put g, v, 3 in ascending order.\nAnswer: v, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 8 = -2*t, 5*t = -1 + 16. Suppose 390 = -5*d + r*d. Let c = -115 - d. Solve -2*b + 0 = -3*g + 3, 2*g - c = -3*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213405289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48225 and 34325.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2297*b**2 + 71*b**2 - 1367*b**2 + 4552*b**2 in the form o + t*b + c*b**2 and give c.\nAnswer: 5553","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((1\/(-2))\/(-1))\/(-34*(-220)\/(-374))\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**2 - 39*l**2 + 28*l**2 + 6*l**2 + 4*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 10*a**2 + 9*a + 6. Let k be l(-10). Let r be (-20918)\/(-12) - (-14)\/k. Is r\/56 - (-3)\/(-24) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/27*-3)\/(((-1196)\/(-78))\/23).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(15\/9 - 2). Let g be 0\/f + (-6)\/3 + 0. What is the tens digit of (-1314)\/(-14) + g\/(-14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 196 = 2*g, -289*z = -5*g - 287*z + 504. Calculate the greatest common factor of g and 12860.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -2\/11, 7, 3\/4, 6 in descending order.\nAnswer: 7, 6, 3\/4, -2\/11, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -506 + 7017\/14. Let p = -87 + 123. Calculate the common denominator of d and 5 + -4 + (-10)\/p + 1.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*n**3 + n**3 + 45 - 4*n**3 - 45.\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.17 - 0.07. What is the second smallest value in b, -2, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 2:11 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 724 is divided by 183.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -27777177785+-60\nAnswer: -27777177845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -118, -2, -8 in descending order.\nAnswer: 4, -2, -8, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3}. What is prob of picking 3 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, a: 2, i: 3, z: 4}. What is prob of sequence zy?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -49, -99, -175, -289, -453, -679, -979, -1365?\n\"Answer: -2*b**3 - b**2 - 33*b - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.12208 - -2.148. What is p rounded to 3 dps?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/3 + 265*s**2\/3 - 20602*s\/3 + 20336\/3.\nAnswer: (s - 62)*(s - 1)*(s + 328)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -222*o + 3984. Let j be y(18). Let c(h) = -h**3 - 12*h**2 - 12. What is c(j)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 44 = 10*v. Let j(y) be the third derivative of v*y**2 + 1\/3*y**3 + 0 + 0*y - 1\/24*y**4. What is the first derivative of j(s) wrt s?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y - 2. Let l(a) = -17*a**3 + a**2 - 2*a - 3. Let v be l(-1). Suppose 13*k + 22 = -v. Let u(p) = -2*p + 2. Give k*q(o) - 2*u(o).\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16011138647 - -10?\nAnswer: 16011138657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9785.762mg to tonnes.\nAnswer: 0.000009785762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -13*w + 13*w + 0*w + 2*w**2. Let j(b) = -66*b. Determine j(p(l)).\nAnswer: -132*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.01857 - -4.01857. Which is the third smallest value? (a) o (b) 11 (c) 2\/19 (d) -2 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -958 - -924. Suppose i + 3*o = -2*o - 42, -2*i + 5*o - 84 = 0. Let v = n - i. Calculate the highest common factor of 2 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 55 + 2 = c, c + 3*d - 57 = 0. Suppose c = -11*p + 10*p. Let m = p - -56. What is the biggest value in 0.4, 0.3, m?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 7*b + 4. Let a be ((-8)\/32)\/(4\/48). What is f(a)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 5, r: 2, p: 8}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6768 and 2394512?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (57\/(-6))\/1*1*8\/4?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000160220773 rounded to six decimal places?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -4895946 at least -4895944?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1296)\/(-48) - (1 + 7). What is the remainder when 44 is divided by 332\/16 + 5 + w\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 3*h = -21. Let y = h + 6. Let a(x) = 5*x**3 - 2*x**2 - x. Calculate a(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 5*o**3 - o**2 + o - 1. Let f be b(1). Let k = 7 - f. Suppose -5*a + 58 = g, 4*a + k*g = 41 + 12. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -1\/2, 0.4, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of 1\/20*n**4 - 35 - 1\/5*n**3 + 8\/5*n - 3\/5*n**2. Factor p(a).\nAnswer: (a - 4)*(a - 1)*(a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, i: 11}. What is prob of picking 3 i?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 7 = 1, -4*p = -2*o. Let h(l) = -l**3 - l**2 - l - 1. Let q be h(-2). Differentiate -n**2 + q - o + 0 wrt n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-22 - 1)*(-3 + -2) is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 737 or 18418\/25?\nAnswer: 18418\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -176797\/711 + -265\/237. Let x = i + 249. What is the common denominator of -31\/10 and x?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10640 + -10625. What is the remainder when 7498 is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqqqq. What is prob of picking 2 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -5*c - 4 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 5*f = -23, 72*t + 15 = 73*t - 3*f for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = l - 3*i, 3*l - 26*i = -28*i - 23. Suppose 0 = -5*g - 17 - 43. Is l bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen quarters of a decade?\nAnswer: 390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/4 and ((-85)\/60*3)\/(-6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 5 = 5*n, -35 = -48*l + 43*l + 5*n for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*q**4 - 21138*q**3 + 78*q**2 + 282*q.\nAnswer: -312*q - 126828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 18 + -21d6?\nAnswer: -21bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 6 - 24 = -3*h, 0 = 4*h - 4*j - 20. Let k(w) = -1 - h*w + w - w. Let y(m) = -30. Let x(b) = 13. Let u(z) = 7*x(z) + 3*y(z). Give k(g) - u(g).\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 88 = -3*m + 5*x, 0 = -8*x + 6*x + 32 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/4 + 12253*a**2\/4 + 33665303*a\/4 - 24284022949\/4.\nAnswer: (a - 589)*(a + 6421)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8501 - 8413. What is the lowest common multiple of 6 and s?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5*i = -0*i + 9436, 0 = -4*c + 2*i + 9424. What is the greatest common factor of 154 and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 43\/4? (a) 3 (b) 0.1 (c) 82\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 5 = 5*h, 3*h - 8*h + 10 = 0. Let l be (-91)\/y - (-3)\/(-9). Calculate the remainder when 5*3\/(l\/88) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, -0.86, -0.5, 0.5, -2\/13, -0.2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/2)*y**(-22))\/(y**(-21)*y**(6\/13)) assuming y is positive.\nAnswer: y**(1\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*f = -1075 - 617 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 8*l**2 + 7*l + 3. Let d be m(7). Let z = d + -2. Let s = -92\/15 + 29\/5. Which is the closest to s? (a) -0.2 (b) z (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13815?\nAnswer: 3, 5, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 276 divided by 1085\nAnswer: 276\/1085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-four fifths of a litre?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2.38*-318\nAnswer: 756.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.24099877 + -0.241. What is p rounded to 7 decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 5*b + 7. Calculate m(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 5)*(6*t - t - 4*t) + (1 + 1 + 1)*(-4 - 6*t + 4).\nAnswer: -17*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -264913 at most as big as -264910?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -94\/5 (b) -4 (c) -2\/21 (d) -5 (e) -2 (f) -3 (g) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 - 22. Suppose 0*m - o*n = -3*m + 6, 4*m = 2*n - 2. Does 17 divide (-58)\/m + 4 - -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 f when three letters picked without replacement from {g: 1, f: 2, v: 4, x: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**4 - 4*u**4 + u**4 + (1 - 2 + 2)*(3 + 0 - 1)*(623*u**2 - 623*u**2 - 10*u**4).\nAnswer: -22*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -12.6 and 11051.\nAnswer: 11038.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32236695.\nAnswer: 3, 5, 569, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -583 divided by -79\nAnswer: 583\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22.99 + 23. Let r = 14.99 + u. Let i = r - 15. Which is the second biggest value? (a) -0.2 (b) i (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -9*p + 8. Let f(k) = 3*k**p - 9*k**3 - 4*k**2 - 2 + 10*k**3 - 3*k**2 - k. Give f(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*g + 3802 = -2080*g - 10667 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.624911 to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5901371923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**3 + 2*h**3 - h**3 + (-h**2 - 3*h**2 + 2*h**2)*(-1 - 2*h + 1) - 5 - 3*h**3 + 5 to the form d*h**2 + a*h**3 + r + q*h and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -6*c - 33 + 18*c + 24. Let m(b) = -4*b + 3. Let z(y) = -8*m(y) - 3*n(y). Suppose 3*j = 39 + 57. Let q(r) = 44*r - 32. Determine j*z(a) + 3*q(a).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 256 - 255. Solve -b - 4 - n = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -497*s*v**5 - 2*s*v**4 + s*v**3 - 5*s*v**2 + 3*s*v + 307 wrt v.\nAnswer: -29820*s*v**2 - 48*s*v + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 12:26 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 4) to base 7\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6194597 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 93.4 (b) -8 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**7*p**(1\/2)\/p)**(-40))**(1\/16) assuming p is positive.\nAnswer: p**(-65\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 - -27. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000114908056 to 7 dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of c**7\/2520 - c**5\/60 - 2*c**2. Let m(p) be the third derivative of s(p). Let w(b) = 4*b. Give m(w(j)).\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(405) + 2)*-2 - (3 + (-4*sqrt(405) - sqrt(405)) + -4).\nAnswer: -8 + 27*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 126169?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(4\/6)*(-5)\/45*-12\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 6) to base 4\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 208, 249, 288, 325, 360, 393?\n\"Answer: -k**2 + 44*k + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*u + 50*u + 4870400 = 0. What is u rounded to the nearest 10000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24320)\/(-1440))\/((-28)\/(-63)*1).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -3*c**2 - 5*c + 5. Let w(l) = -l**2 - 2*l + 2. Suppose -4*v - 25 = 7. Let s be 336\/34 - (-8)\/68. Let u = s + v. Calculate u*a(x) - 5*w(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 5:26 PM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 16*d**3 + 1. Calculate w(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 78*v**2 + 7*v + 11. What is the tens digit of u(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7\/22 - 2\/11. Which is the closest to 1? (a) 2\/67 (b) -2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 4*q**2 + 13*q - 3. Let l(k) = 3 + 0 - 13*k + 14*k**2 - 17*k**2. Let d(h) = -5*l(h) - 4*v(h). What is the units digit of d(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3*k**3 + 3*k. Let s(i) = -i**3 + i. Suppose -2*p - p = 15. What is p*s(x) + 2*f(x)?\nAnswer: -x**3 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19628991?\nAnswer: 3, 2180999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.507 take away 1170791?\nAnswer: -1170779.493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -2051*b**3\/3 + 4*b - 6. Let k be x(-2). Round k to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(-253 - 7*b + 253) - b + 2*b + b + 2*b + 4*b - 4*b.\nAnswer: 18*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 + -20. Let p = 24 - q. Solve -4*r = a - p*r, -a - 4*r - 10 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**3)**(-15\/7)\/(u**16*u*(u*u\/(u\/(u*((u\/(u**(-2\/5)*u))\/u)\/u)))\/u) assuming u is positive.\nAnswer: u**(-799\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from axaaxaaa. Give prob of picking 2 x.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2386.312 litres?\nAnswer: 2386312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 374023763?\nAnswer: 127, 2945069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5114, 10224, 15334?\n\"Answer: 5110*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 2:37 PM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1226 = -95*z + 47 - 246 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1191.1 take away 695?\nAnswer: 496.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97201555.\nAnswer: 5, 11, 193, 9157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 45*r. Let n(h) = -230*h + 1253. Determine -5*d(l) - n(l).\nAnswer: 5*l - 1253","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -238*y**5\/5 + 157*y**3\/3 + 172. What is the third derivative of c(v) wrt v?\nAnswer: -5712*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-400)*10*775\/(-186)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 379\/4 - 1\/(-4). Suppose -4*q + 125 = 2*i + 23, 4*q - 5*i = g. Calculate the remainder when q is divided by (0 - 3)\/(-12) - (-153)\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.1 - 0.07094437.\nAnswer: -2.17094437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 8*w**5 + 5*w**2 - 22*w. Let t(v) = 24*v**5 + 16*v**2 - 66*v. Let o(q) = 16*m(q) - 5*t(q). What is the second derivative of o(u) wrt u?\nAnswer: 160*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 0. Let t = 28 + -22. Let k be ((-39)\/t - -2)*(-3)\/36. What is the biggest value in 0.4, f, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*i**5 - 159*i**4 - 405*i**3 - 288*i**2 + 60*i = 0 for i.\nAnswer: -5, -2, 0, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiss when four letters picked without replacement from {i: 2, x: 3, s: 4}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 613096419?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of 35*j**4\/12 - 5*j**3\/6 - 53*j + 15. Let g(s) be the first derivative of h(s). What is the second derivative of g(b) wrt b?\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 4*z**2 + 5*z + 3. Calculate y(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7529 rounded to two decimal places?\nAnswer: 2.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48969?\nAnswer: 3, 5441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 2\/1201, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xh when two letters picked without replacement from {f: 1, k: 1, h: 2, m: 2, x: 8}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8922874?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -4*m**5 - 8*m**4 + 764*m**3 - 4160*m**2 + 3776*m + 8704 = 0.\nAnswer: -17, -1, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f**2 - 26 - 5*f - f + 10 + 3*f. Let p be x(-3). Which is bigger: 56\/3 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 4*c - 4*c = 0. Suppose -3*m = -4*f - m, 0 = 3*f + 5*m. Let g(s) = s + c*s + f*s + 0*s. Let k(t) = 2*t. Calculate g(k(l)).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a century in months?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 42\/13*p**2 + 10*p + 4\/13*p**4 + 50\/13 - 34\/13*p**3 = 0.\nAnswer: -1, -1\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_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: -11 - ((4 - (15 - 11)) + 1 + 38)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (-1 - 10) + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7790 + 187109\/24. Let l = -223\/8 + s. What is the common denominator of l and 103\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 30 = -12. Suppose 0 = 3*u + x*h - 6*h - 3, -3*h = 4*u - 29. Solve -5*r + 2*r = o + 2, -4*o = u*r + 8 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1855936?\nAnswer: 2, 47, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4*r - 2*r = 8, 2*l = -2*r + 8. Let g(k) = k**3 - 2*k. Let n be g(2). Let t = 10.4 - 7.4. Sort t, n, l in decreasing order.\nAnswer: n, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2189566.\nAnswer: 2, 17, 64399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 5*d + 38 = -0*d, 2*p - 28 = -4*d. Let o be 31 + 0 + p + -9. Calculate the highest common factor of o and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3. Let y be r(-1). Let x = 1 + y. Let i be 1 + 0 - 3\/1. Sort i, 1, x in descending order.\nAnswer: x, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 146 + -1018\/7. Solve -2*d**4 + 0*d + v*d**2 - 10\/7*d**3 + 0 = 0 for d.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -41*s - 13*s + 53*s + 1 - 8*s + 14 in the form m + g*s and give m.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 833 - 12*a**2 - 10*a - 832 + 0*a**3 - a**3. Let b(n) = n + 1. Let d(w) = -22*b(w) + 2*v(w). Solve d(o) = 0 for o.\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 - 18. Let v be 0 + (-2 - (-5 - a)). Solve -3*w + 5 = -g, v*w - 12 = -4*g + w for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/(-28) - (-14)\/(-49))*0. Suppose w = -2*g + 40 + 26. Let o be (g\/55)\/(2\/60). What is the greatest common factor of o and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 2*z - 5*z + 19, -2*z - 30*f + 46 = -26*f for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 200.765ng in grams?\nAnswer: 0.000000200765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3539*i**2 + 7444*i - 4. Let k(u) = u**2 - 4*u + 1. Let t(c) = j(c) + 4*k(c). Find the second derivative of t(w) wrt w.\nAnswer: -7070","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 9145 = -3*n, -3*n - 5*r - 4551 = 4600. Is (n\/(-3))\/(-9 - (-168)\/18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216)*2)**2 + 1 + sqrt(475).\nAnswer: 5*sqrt(19) + 4865","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 400\/(-3) + 2\/6. Let z = -89 - f. Does 17 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -300 + 301. Calculate the remainder when 16 is divided by (1 - z) + 15 + -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191137073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12676 + 12678. Let 0*a - 2\/17*a**o + 8\/17 = 0. Calculate a.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/28 + 930\/(-868)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197 is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -486.5 - -486. Which is the closest to -3? (a) 5 (b) d (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/462 and 6\/(-56)*274\/81.\nAnswer: 4158","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -7. Let t(k) = 14*k - 28. Let i(u) = -1. Let q(b) = h*t(b) + 28*i(b). Let y(p) be the third derivative of p**5\/30 - 21*p**2. Determine q(y(m)).\nAnswer: -28*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*z + 3. Suppose 0 = -j + z + 2. Suppose 40 = j*k - 20. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 4*b**5 + 128*b**4 + 828*b**3 - 1232*b**2 - 1936*b = 0.\nAnswer: -22, -11, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - (-5*2 - -1). Suppose 23 - 13 = -2*l. Let z be 2\/(-8) - l\/c. Is 0 at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20731250 * -0.6.\nAnswer: -12438750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 542 divide 104068336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**5\/5 + 3164*r**4\/5 - 92349*r**3\/5 + 791068*r**2\/5 - 2540812*r\/5 + 2605488\/5 = 0?\nAnswer: -3193, 2, 4, 6, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (3*(-3)\/(-15))\/((-889)\/(-8890)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2396, 1794, 1192?\nAnswer: 590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of -q**10\/37800 + q**8\/5040 + q**5\/20 + 3*q**4\/4 + 13*q**2. Let o(v) be the third derivative of f(v). What is s in o(s) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*j + 93 = 19*j + 3 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -0*l - 3. Let m(r) = 73*r**2 - r - 1. Let z be m(l). What is z rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gbbbggbgbbb. What is prob of sequence gggb?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -420673?\nAnswer: -420666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8.639 - -8.6. Let y = 490.8 + -490.9. Which is smaller: d or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.168, -0.04, -4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)\/sqrt(3) + sqrt(3) + -5 + 1)*1.\nAnswer: -4 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 181*q**2 + 209*q + 5228. Let x be p(-180). Let c = 3 + 2. What is the closest to x in -1, 1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = -n - 5*p, 2*n + 4*p = -18 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -90 + 89.6. Which is the third biggest value? (a) v (b) 0 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -347*i**3 + 10*i - 25 wrt i.\nAnswer: -2082*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -580.58 take away 566469.54?\nAnswer: -567050.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 36.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58256 and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/sqrt(64) - (sqrt(11) + sqrt(88)\/sqrt(2)))*-5.\nAnswer: 55*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hmh when three letters picked without replacement from hhhmhmhhhhhhhmhmhm?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/5 (b) -60 (c) -3 (d) -1\/5 (e) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) - -2*sqrt(128)) + -4)**2 + 5.\nAnswer: -192*sqrt(2) + 1173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-51344)\/2912 - -18 - (-2)\/(-13).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*y**4 - 4293158*y**3 - 237946178*y.\nAnswer: -96*y**2 - 25758948*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + -7. Let n = x + 18. What is the nearest to -2 in 2\/9, n, -3\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 a, and 1 o when three letters picked without replacement from yyyyoraarryobray.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -4. Suppose 6*y - 104 = h*y. Calculate the remainder when y is divided by -5*(42\/(-15) + 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 j when four letters picked without replacement from {z: 2, j: 4, g: 8}.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + -1. Let x = 6 - 6.05. Let f = 0.05 + x. Is c greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20353*5\nAnswer: -101765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + (-1*10 - 2). Let x = o - -83\/6. Suppose 5*m + 2*f = -3*f + 20, m - 2*f + 5 = 0. Which is smaller: x or m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 279 a factor of 49383?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5271, -10540, -15809?\n\"Answer: -5269*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -3*i - 17. Calculate the remainder when 60 is divided by i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/12 - 1\/(-4). Let p be 360\/(-840) - ((-3)\/(-7))\/(16\/(-44)). Is p bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/b**(-2))\/(b**(-19)*b) assuming b is positive.\nAnswer: b**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29408 and 870293.\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 22, 30, 24, -2, -54, -138, -260, -426?\n\"Answer: -d**3 - d**2 + 18*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 4.4. Let z = -1.3814 - 0.0186. Let w = g - z. Which is the biggest value? (a) -2\/11 (b) -0.2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -135 + 189. Let y = 47 - u. Let b = y - -7.000074. What is b rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rvrv when four letters picked without replacement from rvrrrrrrvvvrvrvrvvvr.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.09696690337 and 2.\nAnswer: 2.09696690337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*sqrt(99) + sqrt(99) + sqrt(99) + (sqrt(99) - (sqrt(99) + 1*sqrt(99))*2))\/((sqrt(144) - (sqrt(144) - 1*sqrt(144)*-4)) + sqrt(144)).\nAnswer: -5*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 92*i - 3222. Determine q(29).\nAnswer: -554","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2035972447 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101000000110111000111000 (base 2) to base 11.\nAnswer: -5a31340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 + 0*x**2 - 2*x**2)*(-1 - 1 + 5) - 3*x**2 + 4*x - 4*x + (2*x**2 + 2 - 2)*(-1 + 2 - 3) + 3*x**2 - x**2 + 0*x**2.\nAnswer: -14*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236643604?\nAnswer: 2, 17, 269, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z - 15. Let j be t(7). Let c be 1\/(78\/15 - 5). Sort -2, 2, j, c.\nAnswer: -2, 2, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5379333 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -33881*18\nAnswer: -609858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 18, -4, -5, 7, 6 in descending order.\nAnswer: 18, 7, 6, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -87000 to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/86 (b) -3 (c) 0 (d) -4\/25 (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -24. Suppose -2*c + 22 - 4 = 0. What is the lowest common multiple of (3\/j)\/(5\/(-165)) and c?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -517, -531, -555, -595, -657?\nAnswer: -747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b - 3*b**2 - b + 0*b + 2*b**2 as m + x*b + w*b**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 5*f**2 - f + 9. Let u = 4 - 9. Let a be c(u). Let n(t) = t**2 - 2*t + 4. Let j be n(-4). Calculate the highest common divisor of j and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-22) - (-134)\/11. What is the smallest common multiple of 1 and 2\/4*(0 + r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14959*b - 12033 wrt b.\nAnswer: 14959","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 160617 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4012 - -2?\nAnswer: -4010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 14 (c) 0.1 (d) -1\/4 (e) -0.54 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1006726243.\nAnswer: 1006726243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -8\/3*v**2 - 1\/3*v**3 - 6 - 7*v = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32246 - 18405. Is 10 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -12*q + 48. Solve 2*u + 4*c = 4*u - q, 3*c = -2*u - 15 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36671*w - 37034*w + 73704*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 31*j**2 - 202*j - 83. Give g(-5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 6*l**2 + 2*l + 5. Let r be (-2 - 2\/(-2)) + 7. Let s be x(r). Let f = 33\/2 - s. Which is the nearest to f? (a) -0.4 (b) 0.1 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - (-2 + -1)\/3*33. Is 30 at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -349, -3\/7 in ascending order.\nAnswer: -349, -3\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 + 7*n**2 - 4*n**2)*(2*n + 0*n + n) + 45 - 45 + 30*n**3.\nAnswer: 33*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 457.188 nanometers?\nAnswer: 0.000000000457188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 11*p = 60. Let y be 40\/p*(-6)\/4. Suppose -x + 1 = 4*j + 2*x, j + 3*x = -y. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 294611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -85362 divided by -5\nAnswer: 85362\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 181*b**3 - b**2 + 10*b + 7. Let z(s) = -181*s**3 + s**2 - 12*s - 8. Let l(r) = -6*m(r) - 5*z(r). What is the third derivative of l(i) wrt i?\nAnswer: -1086","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 60 = 4*u, 1 = -4*u + 3*m - 59. Let f be ((-69)\/6)\/(-1 - u\/14). Let w = f + 256. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8\/(-5))\/(30\/(-25)))\/(12\/(-15))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**4 - m**4 + 0*m**4)*(-157 + 126 + 154 + 246).\nAnswer: -738*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x + x + x + (-3 - 1 + 2)*(3*x + 25 - 28 - x) as m + t*x and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1392 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 3*c = -0*c, 0 = -3*x + 3*c + 24. Suppose 10 + x = -4*j + u, -8 = j - 5*u. What are the prime factors of j + 5 + 8 + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 10:07 AM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 396 and 252.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -2*v + 3, 3*v + 4*o + 0*o - 12 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5 and 1629436484835.\nAnswer: 1629436484835.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of u**9\/15120 - u**8\/840 - u**7\/84 - 2*u**6\/45 + 7*u**5\/20 - 29*u**2. Let t(s) be the third derivative of n(s). Factor t(o).\nAnswer: 4*(o - 8)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 317 divide 586133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/7)\/l**4*(l*l**(1\/4)*l)\/l*l\/(l\/(l**(-1\/4)*l)) assuming l is positive.\nAnswer: l**(-13\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/2 - (30\/(-4) + 7). What are the prime factors of (-1)\/2*m*(-812)\/(-2)?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**5 - 7*c**5 - 11*c**5)*(-1 + 0 + 0) + (-5*c + 3*c - c)*(c - 3*c**4 - c) + 21*c**5 - 5*c**5 - 3*c**5.\nAnswer: 36*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*x - 25*x = 36 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uw when two letters picked without replacement from dvdvduw.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.133 + -0.167. Let x(y) = y**2 + 50*y - 104. Let o be x(-52). Which is the closest to o? (a) l (b) -1 (c) -1\/11 (d) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.538764 days in minutes?\nAnswer: 2215.82016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -68.201 + 68.142107. Round r to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 12 = -7*n. Suppose 0 = -3*c - 2*p + 10, -15 = -3*c + 2*c - n*p. Solve 3*a + c = -6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/60 + 14\/12.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is ac2 - 21d1?\nAnswer: -150d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g + 10*z - 11, -6*z = -69 + 57 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 10:51 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -90*n**2 + 46*n + 95. Calculate g(-2).\nAnswer: -357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 759*j**2 + 39 + 32 + 33 - 104 as x*j + w*j**2 + v and give w.\nAnswer: 759","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 16*t - 14*t - 7 - 2. Suppose -8 - 4 = -2*l. Let z be a(l). Sort 5, -0.5, z in decreasing order.\nAnswer: 5, z, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64225919 is divided by 128.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 + 21. Let l = 20 + b. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -216750*d**3 + d**2 + 4190821 with respect to d.\nAnswer: -650250*d**2 + 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 33)*(-2 + 4 + 1)*(3 + z - z - z).\nAnswer: 99*z - 297","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 33517 equal to 33513?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10121066, -20242136, -30363214, -40484300, -50605394?\nAnswer: -60726496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = 36*p + 158 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 100902*u**4 + 3*u**3 - 7*u**2 + 21130111.\nAnswer: 403608*u**3 + 9*u**2 - 14*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 265 - 1459. Let r(v) = 31*v**2 + 147*v + 2. Let n be r(7). Suppose 0 = -4*j + u + n. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2685140 to the nearest 10000.\nAnswer: 2690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3276, -25875, -87196, -206595, -403428?\n\"Answer: -3226*b**3 - 5*b**2 - 2*b - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) + ((-2 + sqrt(1377))*1)**2)*-1.\nAnswer: -1381 + 27*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 570291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.0076 + -0.9076. Sort -3, 0.5, -4, n.\nAnswer: -4, -3, n, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 57? (a) 0.4 (b) -2\/3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 0, 1368, -5 in descending order.\nAnswer: 1368, 16, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 389*p + 2336. Let a be z(-6). Factor -15\/8*d**a + 3\/8*d**3 + 9\/4*d + 0.\nAnswer: 3*d*(d - 3)*(d - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 21.\nAnswer: -8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*p - 3*p. Calculate the highest common factor of p and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/1472 and -13\/92?\nAnswer: 1472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -53088398 to the nearest 100000.\nAnswer: -53100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -198 + 627. Suppose -a = -3*j + 3*p, -2*j + 3*p = 2*j - 573. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-945)\/70)\/((-81)\/(-132))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -214 - -221. Suppose -h*u + 26 = -646. Calculate the highest common divisor of 128 and u.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238*u - 115*u + 104*u - 7501896 = 0. Does 59 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18 + -36 - 52) + 36\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 108*v**2 + 5*v + 9. Let q be k(-3). Find the first derivative of -966*c - 40 + q*c + 26*c**2 wrt c.\nAnswer: 52*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15595.\nAnswer: 5, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -130 + 123.7. Let t = z - -3.5. Let s = t - -3.5. What is the third biggest value in s, 2\/7, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -23*d. Let g(x) = x**2 + 2377*x - 4. What is u(g(y))?\nAnswer: -23*y**2 - 54671*y + 92","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46817 is divided by 102?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -186*o + 12448. Determine r(67).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 225181394 to the power of 1\/3, to the nearest integer?\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 + -13 + 1 + 2 + (-42)\/(-7). Which is bigger: w or -1\/5278?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q**2 - 2*q + 2. Let o be n(4). Suppose -v + o = v. Suppose -a = -4*i - v, 6*a + i - 21 = a. Solve -3*x + a*x - 2 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/1 + 2 + 1. Let q be (o + -3)*(3 - 2). Put q, -4, -5 in increasing order.\nAnswer: -5, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of o**2 - 1\/30*o**5 + 0*o + 0*o**3 + 1\/105*o**7 + 0*o**6 + 0 + 0*o**4. Find the third derivative of y(v) wrt v.\nAnswer: 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**5 - 424*t**4 - 81278*t**3 - 1296236*t**2 - 7156104*t - 13263120 = 0.\nAnswer: -109, -6, -5, 338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.121886 * -0.03.\nAnswer: 0.00365658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 10*z**2 - 3*z + 3. Let n(m) = 9*m**2 - 2*m + 2. Let s be (18\/(-12)*2)\/((-1)\/(-1)). Determine s*n(y) + 2*t(y).\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227*o - 8379 = -3385 for o.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -62\/9? (a) 0.06 (b) -115 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.38 - 0.18. What is the nearest to 0.1 in i, -1\/5, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2713 - -2715. Let m(b) = 5*b**2 + 2*b - 2. Let i(r) = 4*r**2 + 2*r - 2. Let g(c) = 6*i(c) - 5*m(c). Calculate g(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -58\/17 - -755\/306. Let u = -17687\/16 - -1107. Find the common denominator of p and u.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zsqsqlzssszssqsqsqq. What is prob of picking 2 s?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of 7*j**4\/4 + 14*j**3\/3 - 14. What is the third derivative of w(g) wrt g?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 - 2) + -3 + 4. Let b = 1 - 1. Let q be ((-9)\/(-3))\/((-6)\/(-5 - 1)). Solve b*t = i*t - q for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -59, -83, -105?\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*a + 11*a - 10 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00074653 to 5 decimal places.\nAnswer: 0.00075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3630)*-1)\/sqrt(10) + (-3*sqrt(48) + 0 + sqrt(48))**2.\nAnswer: -11*sqrt(3) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-69)\/12 - (-24)\/32.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(6\/(-8))*(-96)\/64. Let i(t) = 12*t - l + 0*t**2 - 20*t + t**2 + 13*t. Let d(u) = u**2 - 7*u + 6. Let h be d(4). Give i(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -324589342135 - -0.239.\nAnswer: -324589342134.761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-8) - (185 + (-61194)\/376)\nAnswer: -49\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 times -19119\nAnswer: -382.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 9*j = -35. Suppose 0*d + 2*d + 3*m - j = 0, 5*m = -5. Is (17*6)\/(d + -3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 + 28. Suppose 3*z - 2*d - 4374 = 1174, -5*z = -v*d - 9240. What is the first derivative of -10 + z*a**2 - 12*a**3 - 1852*a**2 wrt a?\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/15 of a century in months?\nAnswer: 1280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 384613 - 384613 + 650*b**3 + (-1 + 2*b + 1)*(2 - b**2 - 2) + 2*b**3 + 0*b**3 - b**3.\nAnswer: 649*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 120, 192, 282, 396, 540, 720?\nAnswer: 942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j - 3*s - 21, 3*j + 4*s = -1 - 25 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -4, -f - 1 = c - 0. Let v(d) = f - d + 1 - 4. Let s(k) = -1. Let l(z) = z. Let u(y) = 5*l(y) - s(y). Calculate 2*u(n) + 11*v(n).\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1629 divided by -144\nAnswer: 181\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230384 is divided by 384.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -884, -1770, -2656, -3542?\n\"Answer: -886*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.9 - 76.9. Let l = r - -71.9. Is 0 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/2 and 3*-1 - (-845)\/150?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 173383 (base 11) to base 15\nAnswer: 5460a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -174a922 + 4?\nAnswer: -174a91d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 326 + -330. Does d = -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + (-6 - -3)\/(-1). Solve 6*n = k*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 322015 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39553\/20 or 1979?\nAnswer: 39553\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-203)\/667)\/((-11)\/(-132)*42).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 15*m + 66 = 0. Let z(n) = 10*n**2 - 15*n + 79. What are the prime factors of z(m)?\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -4*o**3 - 17*o**2 - 17*o + 49. Is 11 a factor of p(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 86*l**2 - 535*l + 1484. Determine t(-92).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 12 = -0*r + 2*r + 7*f, 0 = -3*r - 113*f + 404 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -734*a*c**3 + 2*a*c**2 - 258*c**2 wrt c.\nAnswer: -4404*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34272533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (220 + -235 - (-22 - 0)) + -28.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2827885237 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 292543 - 8*g - 201*g**2 - 292543 to the form r*g + b*g**2 + q and give b.\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -16928, -135439, -457110, -1083521, -2116252, -3656883, -5806994, -8668165?\n\"Answer: -16930*m**3 - m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (7 + -3) - (-453 + 507)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*o + 2*o + 2*o + (-1 + 0 + 9)*(3 - 3 - o).\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 256.789 and -0.01.\nAnswer: -2.56789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -732, 8, -55 in increasing order.\nAnswer: -732, -55, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -7, -64 in increasing order.\nAnswer: -64, -7, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*j - 2*j + 3*j)*(-1 - 1 + 0) - 3*j + j + j + 3 + 4*j - 3)*(-3*j + 3*j - 7*j**2 + (-3 - 2*j + 3)*(3 - j - 3)).\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 250*t - 463*t + 213*t + 38*t**2 - 8.\nAnswer: 38*t**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 111915\/225 + 2\/(-5). Calculate the highest common factor of f and 142.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v + 33. Let i be a(32). Let h = -1 - -2. Are i and h nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 55 = 5*t, -2*z - 2*t = -3*z + 12. Suppose -2*x = -z, -3*v - 3*x - 5 + 170 = 0. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 298.3 - -38.7. Let u = g - 334. Suppose -4*n + 5 = 5*v - 11, 0 = -v + n - 4. Which is the fourth smallest value? (a) u (b) 10 (c) -1 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 9*a - 30. Calculate the remainder when o(12) is divided by -3*4\/4 + 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**2 + 2*m + 6. Let t(p) = 787*p**2 + 8*p - 275. Let d(u) = -5*k(u) + t(u). Find the second derivative of d(z) wrt z.\nAnswer: 1554","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -42*h - 31 - 11 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/16 of a millimeter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -28, 0.3, -9811.3 in decreasing order.\nAnswer: 3, 0.3, -28, -9811.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -10374.705 to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*z**2 - 3\/8*z**4 + 3\/2*z**3 + 6 - 6*z.\nAnswer: -3*(z - 2)**3*(z + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-16)*26\/39. Determine d, given that -1\/4*d**2 + 1\/2 - g*d = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) - -2*sqrt(132))\/((sqrt(132) + sqrt(132)*-4 + sqrt(132))\/sqrt(12) - sqrt(11)).\nAnswer: -5*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 29 (base 14) to base 10\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 374.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 10*j**2 + 4*j - 2. What is the remainder when k(10) is divided by -2 - 6\/3*(-4 - 4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1228429 = -9936*h - 6237*h - 90866 - 492081 for h.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(55)*2*-4)\/(sqrt(35)\/sqrt(28)).\nAnswer: -96*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 113638783?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - -104)\/((-12)\/(-6)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -51*g + 1800. Determine a(34).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (10 - -5 - 11) - (7 - 0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -5*k + 625 - 614, -4*u + 18*k - 38 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -8061195*k. Let d(l) = 2*l. Determine d(v(a)).\nAnswer: -16122390*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(15))\/sqrt(5) - (sqrt(189) + sqrt(21))\/sqrt(7) - ((-1*sqrt(33))\/sqrt(11) + 0))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, m: 4, d: 11, t: 2, e: 1, c: 1}. Give prob of sequence td.\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*d**2*v**6 + 4*d**2*v**5 + d**2*v**2 - 23*d**2 wrt v?\nAnswer: 1080*d**2*v**3 + 240*d**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -52717 (base 10) in base 8?\nAnswer: -146755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 314985 - 314985.475606. Let m = x - -0.476. What is m rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33648 and 689784.\nAnswer: 1379568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 9\/23, -4\/9, 0.2, 0.3, 1\/2?\nAnswer: 9\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.01 + 5.2. What is f rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f + 9. Let d = 0 - 7. Let p be m(d). Suppose 3 = -5*v + p*v. Which is the nearest to -2? (a) 5 (b) v (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 11:46 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 6*d - d - 11*d + 0*d. Let c(a) = -21*a. Give -6*c(r) + 22*s(r).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.6446 + -1.5446. What is the third smallest value in w, 4, 5, 3\/22, -3?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p - 3*p - 85*p**2 + 138*p**2 - 86*p**2.\nAnswer: -33*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.2 - -12.2. Let y = v - 10.8. Sort 0, y, -3 in increasing order.\nAnswer: -3, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*x - 673 + 475 = 0 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3 - k - 1 + k**3 + 8*k**2 + 2 - 1. Let h be (3\/(-2))\/(3\/16). Is j(h) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 55, 0.1, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*l**3 + 8*l**3 - 59*l**3 + 10*l**3 + 29*l**3.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**6*(d*d**(2\/27)*d)\/d)\/(d**(1\/4)*d*d*d\/(d*d*d\/(d**3*d))) assuming d is positive.\nAnswer: d**(305\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-5 - (3 + -8))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(-2\/7))\/f)\/f*f)**(-36)*(f\/(f*f**(11\/4)\/f*f))\/f**(5\/8) assuming f is positive.\nAnswer: f**(-765\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/14 - 0)*-7. Let y be -20*3\/((-15)\/x). Solve -4*c - 4*s = -y, 19 = 5*c + s + 1 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-32*h - 19*h + 11*h)*(1 + 9 - 3)*(-5*h + 4*h + 2*h) in the form i*h + b*h**2 + l and give b.\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -205 bigger than -204?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 6:36 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 14*d**3 - 11*d**2 + 6*d + 8. Let x(n) = -5*n**3 + 4*n**2 - 2*n - 3. Determine 11*x(g) + 4*z(g).\nAnswer: g**3 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 4:50 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 86\/11 + (-2)\/(-11). Solve -g + 2 = 3*t, 5*h + 3*t = -21 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 4 + -3)*3. Solve 3*x - 5*x + k*s = 2, 20 = 5*s for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.014928 to 3 dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2387 and 98?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*j, -4*j = -3*x + 173 + 119. Is x a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 3*q - 3*p, -2*q + 49 = -5*p + 14. Suppose m - 485 = -4*m + v, -3*m + 313 = -q*v. Does 16 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4860 and 15840.\nAnswer: 427680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 57323 = -4*f, -f - 3483 = 2*w - 26407. What is the ten thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-14.6\nAnswer: 5.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 7:29 AM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 342, 662, 970, 1266, 1550, 1822?\n\"Answer: -6*z**2 + 338*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2601.5l to millilitres.\nAnswer: 2601500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1700 and 18?\nAnswer: 15300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/924)\/((((-2)\/(-5))\/(-1))\/(11286\/18810)).\nAnswer: -1\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.13 + -0.12. Let p = 40.69 + -41. Let v = p + n. Is 0.1 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7\/((-126)\/12)*60\/(-2). Solve u - 5*d = -z, 4*d - 3 - 2 = 3*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 26*o - 55. Let t = -3019 + 2995. Give r(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 8) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*a - 32*a - 1 = 0, 0 = 2*q + a + 7. Suppose 3*d - 6 = 3. Suppose b = -d*b. Sort 2, q, b in decreasing order.\nAnswer: 2, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3490105?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*x + 2*x + x)*(0*x**2 - x**2 + 0*x**2) - 33*x**3 - 24*x**3 + 68*x**3)*(-2 - 4 - 4 - 4).\nAnswer: -182*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 396 and 1908?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.35 (b) 75 (c) -5 (d) 29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -6*v**3 + v**2. Let c(b) = -5*b**3 + b**2. Let w(o) = -4*a(o) + 6*c(o). Find the third derivative of w(s) wrt s.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 2*q + h, -2*q + h - 8 = -15 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -0.345 (b) 0 (c) -3 (d) 51\/13 (e) 4 (f) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 5*m + 7*d - 98, 4*m - 79 = -d. Suppose -13*p + m - 7 = 0. Suppose -6 = -2*r - 4. What is the smallest common multiple of r and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -202?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 5*r = 10, -3*s + r + 775 = 0. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -82 and -0.4?\nAnswer: 32.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/6 + (-20)\/(-6). Let o(v) = v**3 - 7*v**2 - 131*v + 984. Let r be o(8). Solve r*y**2 + 0 - 3\/2*y**j + 0*y + 3\/2*y**5 + 0*y**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17 - (-3)\/12*-4 and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -2*d + 2. Let u = -452151\/10 + 45356. Let y = 141 - u. Are d and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 4*c + 17. Let i be b(7). Suppose -3*g - i = -5*q, 5*g + 10 = -4*q + 46. Calculate the lowest common multiple of q and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18718 is divided by 6053?\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/3)\/c*c**(1\/13))\/(c\/((c\/c**(-9))\/c))**(-2\/109) assuming c is positive.\nAnswer: c**(-1714\/4251)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 1 - -2)\/(-1). Let b(r) = -r**3 - 4*r**2 + 1. Let m = -11 + 7. Let x be b(m). Is x greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/85 in -1548, 6, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/(-8) - 2\/(-4). Suppose 0 = 3*r, -s*r + 22 = v - r. What is the least common multiple of 22 and v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -379*a**3 + a**2 - 12*a - 13. What is k(-1)?\nAnswer: 379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5476387 and 1022?\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 9:16 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 225435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 136983132 + -136983314.270159. Let m = -183.1002 - c. Let o = -0.83 - m. What is o rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*x + 42*x - 193*x + 1 + 60*x + 60*x.\nAnswer: 25*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6289720.\nAnswer: 2, 5, 157243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1914 and 528.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19.96 - -24. Let v = 0.04 - m. Are v and -1.7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1389481139 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*o + 19. Suppose -2*i = -3*z - 33, 0 = 4*z - 5*i - 5 + 56. Calculate the lowest common multiple of o and (0 + 1)\/((-1)\/z).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -63*g**3 + 111*g**3 + 69*g**3 + 90*g**3 + (g**2 - 3*g**2 + 4*g**2)*(-7 + 7 - g).\nAnswer: 205*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (s - 2*s + 0*s)*(1 - 502*s**2 - 1165*s + 3147*s**2 + 1163*s) in the form f*s + m*s**3 + b + t*s**2 and give m.\nAnswer: -2645","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 576935 and 190.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -9?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jp when two letters picked without replacement from jjjjjjpjjjjjjjjpjjj?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 10 - a - 7 + 4. What is the remainder when 22 is divided by n(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - ((-9)\/(-3) + -6). Suppose -2*p = -c*m + 3, 3*m - 11 + 2 = p. Suppose -o + p*o = 55. What is the remainder when 32 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24905.7 + 24906. Let j = -3 - -2.8. Put j, h, -2.4 in descending order.\nAnswer: h, j, -2.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 32 - 14 - 11 - 1190236*x.\nAnswer: -1190236*x - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-7)\/1470*6*85\/(-153).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 799183841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/9 + 2743740*l - 24693662\/9.\nAnswer: 2*(l - 1)*(l + 12346831)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 7*g - 8 = 0. Let b be 1*-2 + (g - 0). Let d = -1483 - -1484. Sort d, 3, b in ascending order.\nAnswer: b, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-6)*((-3)\/(-2))\/1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12715083?\nAnswer: 3, 487, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - 1. Let a(j) = 16*j - 67. Let f be a(5). Let l = f + x. Put l, -3, -4 in descending order.\nAnswer: l, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.52 + -2.2. Let y = x + -27.32. Let q = y + 25. Which is the biggest value? (a) q (b) 3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -365.36 - -40.66. Let a = d - -391. What is a rounded to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.78 from -0.5.\nAnswer: -1.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - -10 - (2 + -2 + 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2726 is divided by 48?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**3\/3 - 464*c**2\/3 - 910*c - 1356 = 0 for c.\nAnswer: -226, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 18079*d + 2 + 18084*d.\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3193 + 3194.4673. Let t = -0.0327 - q. Let a = -6 + 5.7. What is the closest to -0.1 in t, -4\/7, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*2\/(1 + -3). Suppose y = -w - 2*d, 3*d = -5*w + 2*w. Suppose w*q = -0 + 6. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.806812 - 11435.\nAnswer: -11434.193188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -109*l + 69 + 13*l**2 + 54*l + 55*l wrt l.\nAnswer: 26*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2483*r**3 + 26*r**2 - 3*r + 53. Let p(j) = -620*j**3 - 7*j**2 + j - 14. What is -4*i(t) - 15*p(t)?\nAnswer: -632*t**3 + t**2 - 3*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81624 = 6*a - 82032 for a.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1012, -1998, -2912, -3718, -4380, -4862, -5128?\n\"Answer: 6*v**3 - 1028*v + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cb when two letters picked without replacement from {q: 1, c: 3, v: 2, b: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -b**6\/60 + b**5\/20 - b**4\/24 + b**3\/3 - 6*b**2. Let g be l(2). Let z be (-10)\/g*8\/4. Let j(u) = 2*u - 1. Determine j(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319 is divided by 168?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21281045 by 1.\nAnswer: 21281045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (11 - (4 - 1 - 2)) + 13 + 0\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/(-80)*-8*(-2)\/130*8.\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.19262 and 1198090.\nAnswer: 1198092.19262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 73062.9340162 + -73055.134. Let c = t - 7.8. Round c to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 r when three letters picked without replacement from {r: 1, o: 6, y: 2, h: 7, l: 3}.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6741 + 6741.2. Let j = 64 + -515\/8. What is the second biggest value in -3, v, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56303\/4331*1\/(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 521959.95 and 20.\nAnswer: 10439199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 0, 3*y = -4*z + 8 + 1. Let r be 5 + 2 + (-3 - -1). Suppose 2*b - r*b = 0. Solve -3 = g + 3*f - b, 2 = y*g - 2*f for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 6526?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 857 = 8*c - 4743. Suppose 33*h - 28*h - c = -t, 4*h = -t + 700. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**2 + 3*n + 3. Let d be p(-2). Suppose -2*q + 54 = -4*w, -5*w = -d*q + 107 + 48. Calculate the remainder when q is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 105\/134 - 330817\/422100. Which is smaller: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -508719875, -1017439749, -1526159623, -2034879497, -2543599371, -3052319245?\n\"Answer: -508719874*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (33 - 82) + 114 - (-11 - -5)\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -54861107, -54861108, -54861113, -54861122, -54861135, -54861152?\n\"Answer: -2*s**2 + 5*s - 54861110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 717157*p**3 + 855592 wrt p?\nAnswer: 2151471*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 148, 149, 158, 181, 224, 293?\nAnswer: 394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.13222 + 0.01709244.\nAnswer: -2.11512756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 q when four letters picked without replacement from {q: 8, s: 3, o: 5}?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3593.8 + -3594. What is the smallest value in -30, j, 1\/4?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + -2)\/(3\/(-6)). Let q be k + 5 - (0 + 0). Is 8 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*p - 2*p - 65 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 91 and 4.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirteen quarters of a century?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 24768 divided by -516\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -46095*l + 108 + 49 + 46073*l. Let v be d(7). Suppose -4\/5*k + 8\/5*k**2 - 4\/5*k**5 - 4\/5*k**4 + 8\/5*k**v - 4\/5 = 0. What is k?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1144, 4592, 10332, 18358, 28664, 41244?\nAnswer: 56092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -17336, 1\/5, 5 in decreasing order.\nAnswer: 5, 1\/5, -17336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 4 + -19 - -11?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) -24 (c) 5 (d) -4 (e) -636\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-140))\/(602\/(-9030))?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(13) + 1)**2 + sqrt(13))*1 - (-3 + sqrt(117) + sqrt(13))) + -2.\nAnswer: -3*sqrt(13) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10905 divided by 2181.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -9761 at least -9761?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9637073765 and -1002?\nAnswer: 9637074767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -377445 and -0.01.\nAnswer: 3774.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -86 - -91. Factor -37*q**g + 21*q**5 + 18*q**5 - 2*q**2 - q**3 + 5*q**4 + 2*q**3.\nAnswer: q**2*(q + 1)*(q + 2)*(2*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3*sqrt(20)*3)\/((sqrt(4)*-4 + sqrt(4))*-2).\nAnswer: 2 + 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of -p**5\/30 + 2*p**2 - 416. Let n(g) be the third derivative of -g**4\/6 - 2*g**2. What is y(n(m))?\nAnswer: -32*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*z - 6. Suppose 0 = z*r + 1 + 19. Let j be (-63)\/35 + 18\/(-15). Sort j, r, 5 in increasing order.\nAnswer: r, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12861*g**4 + 153*g**3 - 2*g**2 + 20355318*g.\nAnswer: -154332*g**2 + 918*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*r + 24*r = -3*u - 10, -2 = -r for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/((-8)\/(-363)) + 3. Let i = 386 - b. Solve 4*o - 5*j = i, 0*j = -o - 3*j - 12 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of 3*g**2\/2 - g + 3. Let c be a(1). Solve 3*o = -s, -5*o = s - c*s for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 4*b - 7 = 0, 5*q - 7 = -b - 13. Let l be (36\/(-108))\/(q\/18). Solve l*i = 2*i + 20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-5\/8)*i)**3 assuming i is positive.\nAnswer: i**(63\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/40 of a gram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8 (b) 44.7 (c) -3\/46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 170 = 5*i. Let o be (1\/3)\/((-1)\/(-15)). Suppose 3*k - 2*z - 31 = -z, -o*z = 5*k - 85. What is the remainder when i is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 + -4)\/(-1 - 0). Let w = -51.88 - -52. Let q = w - -0.08. Which is the nearest to x? (a) q (b) 2 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 0 + 4 - 5 - 6*q + 6*q**2 + 1 - 2 - 2*q**3. Let w(j) be the second derivative of j**4\/12 - j**3\/6 + j. What is -m(b) + 6*w(b)?\nAnswer: 2*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -4306*h - 486645. Determine v(-113).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*j + 2. Find the second derivative of 2*p + 4*p - 5*p**3 + p**j wrt p.\nAnswer: -24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*g**4 + 20*g**4 + 176*g**5 - 1515*g**2 + 1133*g**2 - 2581*g**2 wrt g?\nAnswer: 10560*g**2 + 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2929*x**2 - 3*x + 5548. Let a(o) = 1465*o**2 - 2*o + 2793. Let j(l) = -7*a(l) + 4*r(l). Differentiate j(t) with respect to t.\nAnswer: 2922*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y - 8 = 10*y. Suppose -y*z + 182 = 2*n - 6*z, 0 = -n - z + 82. Does 44 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7887 + -18887. What is b rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*l**3*p*v - 720*l**3*p + 347*l*v**3 + 2*p*v**2 with respect to v.\nAnswer: 2*l**3*p + 1041*l*v**2 + 4*p*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0505 from 21005.\nAnswer: 21005.0505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/22 and -111\/748?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 3*k + 6. Let b(x) = x**3 + 4*x**2 + x - 1. Let o be b(-3). Is j(o) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43 - -42.54. Let m = -0.06 - v. Let r = 0.5 + -0.3. What is the closest to -1 in m, -1\/8, r?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 163 (base 8) to base 4.\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -10*w - 7. Let t(c) = -c - 71*c**2 + 215*c**2 + 70*c**2. Is t(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2461.077ml?\nAnswer: 2.461077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -202.8 - -202.3668. What is i rounded to two dps?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -454*l**3*s**3 - 11229*l**3*s**2 + 933*l**2*s - 2*l*s**3 - 2178*l*s**2 + 2*s**2 wrt l.\nAnswer: -2724*s**3 - 67374*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(5\/(-6))*(-5)\/30?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l, 0 = -3*v + 7*v - 4*l - 80. Suppose 3*a = -4*w - 10, 4*w + v = 4*a - 2*a. Solve r + 2*r + 2*z + 10 = 0, 0 = -r + a*z - 6 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 4. Let p(l) be the second derivative of -l**3\/6 + 11*l**2 + 71*l. What is the units digit of p(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 7:53 AM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -64*q + 64*q - 12*q**3 + (2 + 0 - 4)*(-q**3 + 3*q**3 + 0*q**3) + q**3 - 2 + 0*q + 2*q - 3*q.\nAnswer: -15*q**3 - q - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1551 = -234*k + 187*k for k.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/(-4 + 7) - 6. What is the closest to 0 in 0.5, -1, m?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 220100111113?\nAnswer: -220100111112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2 + 1 + 2*r**2 + r**2. Let d be z(1). Let p(o) = -2*o**2 - 1. Calculate p(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -172420 + 106900377\/620. Find the common denominator of j and -63\/248.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 4*j**2 + 2. Let g be 9\/12*4 - 26. Let f = g + 29. Let s be ((-64)\/24)\/(4\/f). Give y(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*l - 84. Let a be 2\/((-3)\/l*-3). Sort a, -5, -1 in increasing order.\nAnswer: -5, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**5*z))**(2\/27)\/(z*z**(-2\/5))**(-14\/3) assuming z is positive.\nAnswer: z**(328\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -4*t - 21, -5*h - 5*t + 1 = 31. Let x be -1*(h + 13)*-1. Solve -x = y + y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1754*m**4 + 1909*m**4 - 1462*m**4 - 2*m + 2*m - 2*m + 3*m**4 + (-1 - 4 + 4)*(-3*m**3 + 3*m**3 + m**4).\nAnswer: -1305*m**4 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.557, 28, 0.5 in decreasing order.\nAnswer: 28, 0.5, -0.557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 1170 = -o. Suppose 0 = 5*x + 4*p - o, -5*x + x - 4*p + 184 = 0. Is x a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + j + 15. Let b be 16\/24 - (-2)\/(-3). Let r be x(b). List the prime factors of 159\/r - 4\/(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1\/r)\/r)**36\/(r**(-1\/3)\/r**3) assuming r is positive.\nAnswer: r**(-98\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000087693815 rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 - -32. Find o, given that p*o - 11*o + 3*o**2 - 2*o**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40 * 4.636\nAnswer: 185.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 256 divide 35072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1171953 to the nearest integer?\nAnswer: 1083","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h + 7. Let g be a(-4). Let v = 6 + g. Suppose v*x - 5*q - 10 = 0, q = -5*x - 9 + 31. Solve -10 = 3*k - 5*z, -k = 4*k + x*z - 8 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, z: 2, v: 4, t: 4}. Give prob of sequence tzv.\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1 - q**5 + 14*q**2 - q**3 + 7 - 4*q**4 + 153*q - 133*q.\nAnswer: -(q - 2)*(q + 1)**2*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/131 - -127\/262. Suppose o*t - 1\/2*t**3 + 1\/2*t**4 - 1\/2*t**2 + 0 = 0. Calculate t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 3\/4540, 5 in decreasing order.\nAnswer: 6, 5, 3\/4540","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 215490 and 1755?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - u**2 + 3*u - 5. Let c be q(4). List the prime factors of 7\/49 + c\/7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 9 - 12. Let m be 0 - z\/((-6)\/80). Suppose 4*j - m - 136 = 0. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7749795377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 91254*h**5 - 452541*h**2?\nAnswer: 5475240*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 bigger than 210?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88 and 297?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2218 + 2)\/(2 + 0) is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 484 and 40?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7 - (-1 - -4)) + 53. Suppose u = 4*l + 5*j, -3*l + 2*j = -9 - 28. Solve 0 = -2*c + 5*t + 6 + l, -5*c = 3*t + 30 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-410)\/(-41)*9\/(-1575)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -5*p**3 - 13*p**2 + 85*p + 89. Let a be z(16). What is a rounded to the nearest 1000?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + 0. Suppose -4*p = -16, -v*q + 184 = 2*p - 3*p. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -157303*x + 122028.\nAnswer: -157303","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 h when four letters picked without replacement from {j: 2, u: 2, h: 3, a: 6}?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 27266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1.7672508 milliseconds?\nAnswer: 0.000000490903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 3\/5, 47\/4, 377 in descending order.\nAnswer: 377, 33, 47\/4, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.091 + -63.091. Let w = z + 62.99882. What is w rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9 + 111 + 9 + -9. Suppose -3*n + 48 = -p, 3*n - 154 = 3*p - n. Let f = p + t. What is the highest common factor of 44 and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 610849 to the nearest integer?\nAnswer: 782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6256149?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 + 8*i + 18. What is t(11)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -12*x**3 - 5*x**2 + 3*x + 3. Calculate v(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 275419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 1022 - 321 = -9*m, 0 = -5*f + 10*m - 368 + 1153 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 5. Let k(b) = b**2 + 73*b + 632. Let d be k(-10). Suppose g*t = -2*n + 8*t + 2, -16 = -3*n - d*t. What is the highest common divisor of 36 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/14789 - -1138651\/1508478. Let p = 3\/34 - x. What is the second smallest value in 0, -3\/4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -4*y**3\/3 - 3*y**2\/2 - y - 1. Let a = -5 - -9. Let j(g) = -4*g - a*g - 6 - 8*g - 21*g**2. What is -2*j(s) + 11*r(s)?\nAnswer: -2*s**2 - s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, -4, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 12) in base 3?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2463 + 5?\nAnswer: -2458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 2. Let v(j) = 9*j + 0 + w. What is the units digit of v(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -18*a**3 - 15*a**2 + 15*a - 15. Let o(n) = n**3 + n**2 - n + 1. Determine 45*o(j) + 3*y(j).\nAnswer: -9*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 11:19 AM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 612 and 250226961?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258*h - 14 = 256*h. Solve 4*u - 4 = 4*s, -h = 4*u - 3*u + 3*s for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -423 - -44. Let t = f - -1902\/5. Let d = t - 1. Is d smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (36\/(-7))\/((-6)\/21) and 57.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -5*j + 7. Let h be l(3). Let k be 0\/1*(-4)\/h. Put -2, 5, k in descending order.\nAnswer: 5, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in -1\/5, 0.2, -4, 3\/2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r - 3. Suppose -3*m + 14 = -49. Let g = m + -24. What is y(g)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 111 and 70337.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -2*c - 48. Let a = 30 - c. Suppose -4*j + 5*z - 92 = -38, -z + 78 = -a*j. Which is smaller: -18 or j?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*i*w**3 + 5336*i*w**2 - 304167*i + 11*w**3 + 3*w wrt w?\nAnswer: 18*i*w + 10672*i + 66*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p - 0 - 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + 6)*14\/8. Let l = -6 + t. Put l, 0, 5 in descending order.\nAnswer: 5, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 208 = 160. Suppose z = 4*l - 60. What is the tens digit of 3 + l + -4 + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -445 - -1003. Suppose 370 + i = 8*l. Calculate the remainder when l is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 526*t - 156 = 500*t. Find c, given that t*c**2 + 0 - 2\/3*c**5 - 10\/3*c**4 + 0*c - 2*c**3 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l**3 + 18*l**2 - 18*l - 5. Let d be x(5). Put 38, 3, d in descending order.\nAnswer: 38, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 22110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/4207 and 75\/2.\nAnswer: 8414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 25 = -4*z. Let b(m) = m + 8. Let g be b(z). Let f be 8 - ((-3)\/3 + g). Solve -f*j + 5*j = 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110010111 (base 3) in base 5?\nAnswer: -240332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -234148, -234138, -234128, -234118, -234108, -234098?\nAnswer: -234088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**2 + 4*r**2 + 130546*r**3 - 130569*r**3.\nAnswer: -23*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n - 1. Let u be b(3). Let y(v) = -u*v - 3 + 11 + 3*v + 4*v. What is the remainder when y(9) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10738 is divided by 513.\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, r: 2}. What is prob of sequence rr?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 10 = -2, -g = -5*r + 8. Suppose r*u - 608173 = -4*v + 47707, 2*v + 1311780 = 4*u. Let k = -628944 + u. Round k to the nearest ten thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of 4219*x**4\/12 + 2134*x**2 - 3340*x. Differentiate j(c) wrt c.\nAnswer: 8438*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -20, -5, -10, -11, -2, -1 in ascending order.\nAnswer: -20, -11, -10, -5, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 385084477?\nAnswer: -385084480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 46667102.\nAnswer: -4666710.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 524645, 524280, 523915, 523550, 523185?\nAnswer: 522820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/(-10))\/1)\/((-84)\/(302 + -50))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 140 - 138. What is the remainder when 3 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 49, 224, 405, 592, 785, 984?\n\"Answer: 3*o**2 + 166*o - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 times 78?\nAnswer: -858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-1)\/(-3) + ((-308)\/66)\/(-2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 13, k: 6}?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/73, -5\/2, 3\/4.\nAnswer: -5\/2, 2\/73, 3\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*s**3 - 4*s**3 + s**3 + (5*s + 0*s - 3*s)*(0 + 2*s**2 + 0).\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/29)*l)\/l)**18 assuming l is positive.\nAnswer: l**(-18\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4167 (base 9) to base 3.\nAnswer: 11012021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 11:40 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/10 of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2241 + 70?\nAnswer: 2321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5385 * -3.\nAnswer: -16155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -d + 3*p + 81, 4*d - 4*p = 316. Let c = d - 115. What is the units digit of 1 + c\/(-1) + -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) 0.4 (c) -0.3 (d) 0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jzzzjjzjzzjjjz. Give prob of sequence zjzz.\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 5:28 AM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 0.7. Which is the closest to -0.1? (a) d (b) -1 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 + 30. Let f(x) = 2*x**2 - 2*x + 2. Suppose -4*a - 4*y + 24 = 0, -2*a + 0 - 12 = -4*y. Calculate the lowest common multiple of n and f(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)\/sqrt(160))\/sqrt(2).\nAnswer: 3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - 18*f - 11. Suppose 38 = -3*a + 2. Let c be k(a). Let h = c + -26. What are the prime factors of h?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -259035, -1036108, -2331225, -4144386?\n\"Answer: -259022*k**2 - 7*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50108 and 4?\nAnswer: 50108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 146211, 146244, 146299, 146376?\n\"Answer: 11*c**2 + 146200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -4*z + 2439 - 311, 0 = 2*z - 3*l - 1048. Let k be 3\/6 + (-245)\/z. Which is greater: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of -1231*t**5\/30 + 3337*t**3\/6 - 48*t**2 + 7*t. Differentiate c(y) wrt y.\nAnswer: -4924*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 0. Suppose 13 = n*w - 12. Suppose 0 = -4*m + 3 + w. Solve 0 = -s - 4*g + 9, s - g + m = 6 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 7*z - 68. Let u(y) = 9*y**2 + 15*y - 14. Let v be u(1). Let n be p(v). Solve x - 4 = 2*f + n*f, 2*f - 8 = 3*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.7 (b) -5 (c) -0.02 (d) -2 (e) -7.312\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of p**3\/3 + p**2\/2 - p + 125. Let t(h) = 4*h**2 + 5*h - 7. Give 5*m(a) - t(a).\nAnswer: a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -38\/3. Let m = -3 - -2. What is the biggest value in -1\/4, m, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 228651 + -96033599\/420. What is the common denominator of v and -19\/6?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 159 divided by -1\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 224 and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (19 + 44 - 22)*(1746*g**2 + 2*g**3 - 1746*g**2 + 120*g) in the form z*g**2 + b + a*g**3 + w*g and give w.\nAnswer: 4920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 13742553.\nAnswer: 27485106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (145\/174 + (-73)\/102)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 2*r + 6*r**3)*(-65 + 65 + 8*r)*(0 + 3 - 2).\nAnswer: 48*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254 is divided by 66.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 47387707 + 0?\nAnswer: 47387707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c. Let u(a) = -2*a**2 + a - 3. Let s(z) = z. Let w(y) = 3*s(y) + u(y). Let x(b) = 51*b + 5. Let j be x(0). What is j*d(f) - w(f)?\nAnswer: 2*f**2 + f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 230 (b) 5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (153 - 382*g**3 - 153)*(4 - 3 - 2)*(-3 + 0 + 2).\nAnswer: -382*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2548356322.\nAnswer: 2, 557, 887, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2892 divided by -6.\nAnswer: -482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -31*r - 161. What is w(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1960 and 51912.\nAnswer: 1816920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (9 - 12 - 8)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 9:33 AM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 + 69916*f + 1605952.\nAnswer: 4*(f + 23)*(f + 17456)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 - 3 - 2 + 3 - 2 + (-1 - 4 + 3)*(-3 + 3 - 2) + 0 + 1 - 2 - 3 + 5 - 3 - 24954 - 22924 + 7366 + 1908)*(-u + 4*u - u).\nAnswer: -77202*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*a + 36 - 37 + 14*a as g + v*a and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ijijjjiijiwjjwwji. What is prob of picking 2 j and 2 w?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000094763 rounded to seven dps?\nAnswer: -0.0000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -36.1 (b) -87 (c) -0.4 (d) -2 (e) 0 (f) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/15 and 161\/6750540.\nAnswer: 6750540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5014120 + 4?\nAnswer: -5014112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + x**2 + 2*x - 6. Calculate o(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y - 11 + 6 + 10. Calculate h(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 115019 or 115021?\nAnswer: 115021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62605?\nAnswer: 5, 19, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3412 - 3407. Solve 3*j = -4*f - 0 - 12, -5*f - 15 = -v*j for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23 and 506.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 3.1. Let j = 6 + -24. Let h = j - -15. What is the smallest value in h, 0, r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/2877 and 1\/67116.\nAnswer: 9194892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2657564359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3179*f**2. Let z(j) = -j. Give z(n(l)).\nAnswer: 3179*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2687 (b) -1\/2 (c) -18 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -350040.5 rounded to the nearest 100?\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -8*s**3 - 46*s**2 + 14*s + 12. Let l(q) = 15*q**3 + 91*q**2 - 27*q - 22. Calculate 6*l(h) + 11*t(h).\nAnswer: 2*h**3 + 40*h**2 - 8*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 54 - 138. Suppose 5*y = 10 - 0. Suppose t = 2*m + y*m. Is 3 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z + 3*z - 4*z)*(-10 + 0 + 2).\nAnswer: -16*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 66 + -61. Suppose -5*q + 177250 = w, -z*q + 2*q + 106350 = w. Suppose 0 = 6*d - 102550 - q. Round d to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 13 (b) -2\/3 (c) -1 (d) -0.4 (e) -3369\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-97860)\/274008*8*(-1)\/15*1.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/124 (b) 9 (c) -0.5 (d) -55.92 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284845 is divided by 284844?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d + 18. Suppose -32 - 58 = -5*s. Let z be i(s). Find w, given that 3 + 7 + 3*w**5 + z + 6*w**3 - 9*w**4 - 7 - 9*w + 6*w**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 622241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + 2. Suppose 2*j + 61 = -i. Let r = j + 53. Does 15 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -72.3 to 0 decimal places.\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57991 is divided by 103?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34)\/12 + 78\/(-468) + -14 + -2.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**4 + 11 - 2*p**2 - 10 + 110*p**3 - 103*p**3 to s*p + m*p**2 + y + l*p**3 + h*p**4 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2892603?\nAnswer: 3, 7, 137743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -361*w - 9909 = 2004 for w.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7198109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -t + 4*t. Suppose 3*k + t*u = u + 42, 0 = -4*u + 12. Let h = k - 7. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -230.5, 1, -2\/7, -81, 0.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 5*w**2 + 44*w - 19. Let u be l(-10). Solve 45*b - 20 = u*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/2 (b) 0.3 (c) -5 (d) 0.92\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*1)\/((-18)\/(-1)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a meter in centimeters?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 10 = p. Let y = p + 6. Is 15 a factor of (y + -1)\/(2\/10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4464 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 2*g + 3 = -3, -k + 41*k - 3*g + 34 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57 and 7543.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of s**5\/10 - s**4\/6 - s**3\/3 + 3*s**2\/2 - 3*s. Let p be c(2). Let h = p + -1. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (69 - (-202303)\/(-2929)) + 380\/(-377) + 1.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*m**4 + m**3 - 3\/4*m**2 + 0*m + 0.\nAnswer: -m**2*(m - 3)*(m - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -1869?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50 and 3465175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -w**8\/13440 + w**6\/360 - w**4\/12 + 19*w**3 + 8. Let u(r) be the third derivative of i(r). Find g, given that u(g) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of 2*l**3 - 105*l**2\/2 - 5366*l - 2265. Differentiate f(h) with respect to h.\nAnswer: 12*h - 105","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -258 - 168. Let q = s - -428. Let o = -10 + 6. Which is the nearest to q? (a) o (b) 3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1547739\/5 or 309547?\nAnswer: 309547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/1707 at least as big as 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1740 = -4*q + 8*q. Is 14 a factor of (2 - -4)\/(10\/q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 187 + -173. Suppose 13*t - 5*t - 24 = 0. Find the first derivative of t - g*k + 6 + 21 wrt k.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4101*v - 28700. Calculate w(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 0 - 49\/((-833)\/306).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9157 - -9157. Let c + 8*w**3 - 10*w**5 - 8\/3*w**2 + 2\/3*w**4 + 0*w = 0. What is w?\nAnswer: -1, 0, 2\/5, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -109375 divided by -5?\nAnswer: 21875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 27 in -0.5, 2, 0.2, 3\/32?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33030*n**4 + 52*n**2 - 4702896*n wrt n?\nAnswer: -396360*n**2 + 104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.2, -2\/7, -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(15\/(-75))\/((-6)\/(-20))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/sqrt(3) + -4)**2 + sqrt(5)*-2 + 4.\nAnswer: -10*sqrt(5) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/6, 1\/23, 1, 2390, 2\/3?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 2*s - 3*s - 11, 0 = -3*s + 2*v - 21. What is the nearest to -1 in s, -3, -0.1, -0.19?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -27.8728 to two dps.\nAnswer: -27.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4017 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3179761863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 + -25. Put 0.4, -0.4, i, 3\/5 in increasing order.\nAnswer: -0.4, 0.4, 3\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*h + 3*h = -12*h + 64942. Is 1711 != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9472219?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1596 - 1464. Are 133 and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 180448825?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200535541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 214101131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2778, -2780, -2760, -2718?\n\"Answer: 11*w**2 - 35*w - 2754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c - 44998 + c - 5*c.\nAnswer: -c - 44998","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 10) to base 11\nAnswer: -a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7336 less than or equal to -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -30*v - 4. Let y be z(-2). Suppose 3*u - y = 109. Calculate the lowest common multiple of 4 and u.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/10 and 37\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*l**2 + 4*l**2 - 2*l**2 + (-1 - 7 - 5*l + 0)*(l - 2*l + 0*l) in the form g + v*l + k*l**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*c - 48*c - 323 = 55*c for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/9 - 3053*g\/9 - 3052\/9.\nAnswer: -(g + 1)*(g + 3052)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/4*(-28 + 26). Suppose 96 + 56 = 2*c + 5*j, -h*j = -2*c + 192. Is c a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i + 15 = 11*i. Suppose -k + 2*k - i*d = -6, d = -2*k - 1. Calculate the remainder when 14 is divided by k\/2*(-19 - -3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5a15 (base 12) to base 16.\nAnswer: 2771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2970000 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 3*r - 1. Let i be v(4). Let j be (-1)\/(-3)*i\/(-28). Let m = -1\/4 + j. Put m, -0.3, -3 in descending order.\nAnswer: m, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25476.4 to the nearest one thousand.\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -372 - -634. Let i = -163 + x. Is 100 not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-10)\/c**(-1\/8) assuming c is positive.\nAnswer: c**(-79\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21822*i**4 + 2896*i**3 - 403614019*i**2 wrt i?\nAnswer: -523728*i + 17376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 7382060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 354, -5, 3600 in ascending order.\nAnswer: -5, 354, 3600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 9 = 3*b. Suppose 3*j + l - 22 = -0*j, 0 = 5*j - 5*l - 30. Let n = j + 3. Solve b*k = -2*k - n for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 744 and 341.\nAnswer: 8184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {x: 2, u: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 334\/7 (b) -64 (c) 749\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of z**3 + z**2\/2 - z + 1. Let y = -2 + 3. Give j(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of v**8\/1344 - v**6\/120 + v**5\/120 + v**4\/32 - v**3\/12 + 11*v**2. Suppose n(w) = 0. Calculate w.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 10:38 AM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 86 - 74. Let q = b - -65. Does 11 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(((-4)\/(-2))\/1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 7*l - 19 - 26 + 58*l**2 - 27. Is s(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/10 - (-52)\/10. Let s be 1 + x - (0 + 2). What is the second derivative of -t - s*t**4 + 2*t**4 + 2*t wrt t?\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 9*y + 10. Let c(x) be the first derivative of -9 - 19*x + 15\/2*x**2 - 1\/3*x**3. Let f be c(13). Give n(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2602*t**3 + 3*t - 2604*t**3 - 18*t**2 + 5212*t**3 - 3*t.\nAnswer: 6*t**3 - 18*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1401038?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 129585208 to the nearest integer?\nAnswer: 11384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 859846.\nAnswer: 2, 13, 33071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -360*i - 2262 = 171*i + 393 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/8823360 and 55\/3277248.\nAnswer: 114703680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7246859 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b - 1bae?\nAnswer: -1bb9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206 = -2*c - 2*k, 0 = 5*c + 2*k - 129 - 377. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -26d?\nAnswer: -26a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/(-3))\/((-1)\/3). Suppose 2*w + 8 = 2*g, -2*w = -6*w - l. Suppose -2*x + 31 = -0*x - 5*y, -g*y - 10 = 0. Is x even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 173865, 695465, 1564793, 2781843, 4346609, 6259085?\n\"Answer: -d**3 + 173870*d**2 - 3*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.056, 4, 2\/13, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1409 - 1001. Suppose -2*v - 4*l - 156 = 0, -4*v - n = v + 4*l. Let z be v\/(-10) - (-6)\/10. Calculate the highest common divisor of 3 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 4222971.\nAnswer: -2\/4222971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 > -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5902 = -2719*p + 2870*p - 4215 for p.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/(-22) + (-6548121)\/(-2673). Calculate the greatest common divisor of 711 and x.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1905\/11 + 173. Let y = -6408.2 + 6408. What is the closest to y in 0.04, q, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -1\/5*s**5 + 0*s + 0*s**3 + 68 - 3\/4*s**4 + 0*s**2. Factor v(y).\nAnswer: -y**3*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.56*-35549\nAnswer: -19907.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7024 or -1?\nAnswer: 7024","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 12 + 3 + 3 + -2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(165\/40)*3\/2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1033, -1056, -1093, -1150, -1233, -1348?\n\"Answer: -p**3 - p**2 - 13*p - 1018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/1296 and 143\/92448.\nAnswer: 277344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10827750 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/9 + (358\/3)\/(-1). Let q be (-12)\/w + 21\/(-10). Put -5, q, 2, 4 in decreasing order.\nAnswer: 4, 2, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 312247, 624585, 936923, 1249261, 1561599, 1873937?\nAnswer: 2186275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1940 and 2328.\nAnswer: 11640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 788 and 4334.\nAnswer: 8668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 59216628 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -165 + -72176?\nAnswer: -72363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/98 + -185\/1078. Let d = -4 - -3. Let f = d + 0.5. Which is the biggest value? (a) -5 (b) w (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gqqbirbif. What is prob of picking 1 r and 1 g?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*g - 321 = r, 0 = -5*g + r + 1589. Let f = 383 - g. What is the greatest common divisor of 165 and f?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1800) + 5*sqrt(1800)*-4)\/(-1*(-3*sqrt(384) + sqrt(384))).\nAnswer: -95*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 72?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2 - 11. Let v(a) = -2*a**2 - 878*a + 2. What is v(x(b))?\nAnswer: -8*b**4 - 1668*b**2 + 9418","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + (5*(sqrt(121) - sqrt(121)*-3))\/sqrt(11)).\nAnswer: -40*sqrt(11) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(4\/5)\/x)\/(x*x*x\/x**(-5)))\/(x\/x**(1\/2))**(15\/8) assuming x is positive.\nAnswer: x**(-731\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**3 + 5*d**2 + d - 5. Let m be (-9)\/(-81)*0*(-1 + 2). Suppose m = -2*h - 3 + 13. Let o(i) = -i**3 - 2*i**2 - i + 2. What is h*o(f) + 2*y(f)?\nAnswer: -f**3 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1457?\nAnswer: 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 11, -5, -25649\/5, -1, -0.5.\nAnswer: -25649\/5, -5, -1, -0.5, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 841*a + 252*a - 988*a.\nAnswer: 105*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 8*m**2 + 77*m - 37. Let o(g) = -3*g**2 - 28*g + 12. Let n(k) = -11*o(k) - 4*u(k). Let t(r) = -2*r - 55. Calculate t(n(a)).\nAnswer: -2*a**2 - 87","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 265 = 6*d - d. Calculate the remainder when d is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -27434 + -65?\nAnswer: -27499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, b: 2, h: 6, j: 3, s: 4}. Give prob of picking 1 h and 1 o.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45 - -44.5. Which is bigger: -0.4 or o?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 386326.\nAnswer: 2, 193163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1, 207, 821, 2039, 4059, 7079, 11297, 16911?\n\"Answer: 33*o**3 + 5*o**2 - 38*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q - 1 + 1)*(-3 - 10 + 4)*(-2*q - 6*q + 3*q).\nAnswer: -135*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 287*k - 568. Calculate y(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 644*v + 17 = 4*f + 639*v, -4*v = -v + 15 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hgqqhqqhqhqhqh. What is prob of sequence qhq?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 + 35. Solve -2*p + 4*k + 14 = 0, -2*p - 4*k + n = k for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 445193 greater than 445195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -4, 0, -8, -6 in descending order.\nAnswer: 0, -4, -6, -8, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -14*z**3 - 74*z**2 - 74*z - 66. Let t(c) = -5*c**3 - 25*c**2 - 25*c - 22. Let h(v) = 17*t(v) - 6*u(v). Let r be h(20). Solve -6 = -r*a - 0*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-392*o + 182*o + 331*o)*(2 - 2 + 1) + 2*o + 2*o - o + (0*o - 4*o + 3*o)*(-3 + 4 - 3) - o + 3*o - 3*o + (-1 + 1 - 2)*(-2*o + 2*o + o).\nAnswer: 123*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-362)\/40 - (1 + -10))*4\/(-3)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2427, 9579, 21529, 38277, 59823?\n\"Answer: 2399*z**2 - 45*z + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-10) + 96\/15. Suppose -2 = 2*i - f, 4 = 2*b + i. Suppose -9 = -z - b. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u**2 - 23*u + 19. Let t be p(7). Let b be (-1)\/1 - (6 - 6). Put b, 3, t in increasing order.\nAnswer: b, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634.581 milligrams in kilograms?\nAnswer: 0.000634581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s + 44. Give n(0).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/20)\/((-5)\/60)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/124035 and -86\/165.\nAnswer: 1364385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 3:38 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -7099*g**4\/4 + 2*g**3\/3 - g - 1. Let h be o(-1). Round h to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 14131057, 14131058, 14131059?\n\"Answer: i + 14131056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 62 or 0.158?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 3)*(44 + 40 - 75)*(19*j - 2*j + 16*j).\nAnswer: 594*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/8*-7*(-22)\/(-77).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 10:47 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-208)\/128 - (-2)\/1. Is q > 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43295303 to the nearest integer?\nAnswer: 6580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 129873461 divided by -129873461\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 417 - 413 + 32*i + 42*i + 46*i to the form d + w*i and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 0 + (2 - 6) - -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 18700143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 1927?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 16*q**3 + 2*q**2 - 3*q + 2. Is s(1) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/5 + (-12 - (44\/55 - 13)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -4*o - 2*q, o + 5*q = 12. What is the first derivative of -s**4 + 0*s**4 + 3*s**4 - o wrt s?\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -919, 133, -9, 8 in descending order.\nAnswer: 133, 8, -9, -919","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2 + 12*t + 25. Determine s(-8).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nhfv when four letters picked without replacement from fpnhhvss?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/2142 and 169\/714.\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 64369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18457 - 18458.6009. Round j to zero dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 91 - (76 + -111 + (8 - -24)).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -18*(3 - 2)*(-387)\/(-8595). Let k = -2\/191 - p. Sort 4, -1\/4, 0.3, k in descending order.\nAnswer: 4, k, 0.3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n + 2. Let f(w) = -240*w + 5. Calculate 3*a(x) - f(x).\nAnswer: 237*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 64 by 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4854, 38811, 130992, 310509, 606474?\n\"Answer: 4852*m**3 - 7*m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 15. Does 2 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -133\/185 - 3\/37. Let d = -34.6 + 34.5. What is the second smallest value in -1, c, 336, d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 613658 is divided by 445.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/(sqrt(5) + (sqrt(5) - -2*sqrt(5))))\/((1*sqrt(16))\/sqrt(8)).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1188 - 1181. Which is the nearest to m? (a) 13 (b) 3\/8 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 11*w**2 + w - 4. Let k be o(11). Suppose -k = -3*m - 1. Which is the biggest value? (a) 1 (b) m (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.97 - 134.68\nAnswer: -137.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + (1 + -2)*-3. Suppose 15 = -x*r - 5. Is 354\/(-4)*r\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**2 + 36*v**2 + 26*v**2 - 21*v**2 - 3*v**2.\nAnswer: 40*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**3 - c**2 + 2*c. Calculate m(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2094334 and 13662.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1766575 at least as big as 1766567?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 a factor of 10078698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 0. Suppose 3*n + r = -6. What is the tens digit of (n + 87\/(-2))\/(5\/(-20))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95982 = -1147*l - 1259*l - 74455 + 9235 for l.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -60*v**6 + 752*v**3 + 30*v**2 + 9672*v.\nAnswer: -7200*v**3 + 4512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3674327008 and 6688.\nAnswer: 6688","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-1*2*sqrt(7) - sqrt(7)) + -5).\nAnswer: -12*sqrt(7) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09, -2, 41125.\nAnswer: -2, -0.09, 41125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.1 - -0.8. Let l = -0.13 - 2.87. What is the second biggest value in l, r, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -106*k**2 - 1241*k - 2487. Give g(-2).\nAnswer: -429","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b + 1 = 11 + 38 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 142?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17.7 - -17. Let t = q + 0.5. Which is the smallest value? (a) -0.5 (b) t (c) 5 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 68*t - 1987. Calculate r(29).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -k**4\/42 + 6*k**3\/7 - 81*k**2\/7 - 9*k + 3. Factor n(t).\nAnswer: -2*(t - 9)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1334982 divided by 60?\nAnswer: -222497\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 950 = -4*w + 964, -5*v + 15 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12794?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - 1) + (59758 - 100\/(-10)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96155 is divided by 1202?\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - s + 35 = -6*s, g - 13 = 4*s. Suppose -5*m + 8 - 3 = 0, -5*m = -g*w + 1010. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -95.3 rounded to the nearest integer?\nAnswer: -95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3, 18, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1006.46233 - -1074.638. Let w = c + -68.23067031. Let z = -0.055 - w. What is z rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-9 + 6) - (18 - 16)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 396 and 18128?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -52, -150, -346, -676, -1176, -1882, -2830?\nAnswer: -4056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 505200 (base 7) to base 15.\nAnswer: 1a683","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + (-1)\/(-2) + 2. Let z = -203 - -201. Let a(n) = -28*n - 24. Let m be a(-1). What is the nearest to z in m, -1\/3, w?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -230*k + 61*k + 56*k + 57*k + 57*k + 113.\nAnswer: k + 113","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.193 - -107.193. Let m = l + -106.99882. Round m to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*x**4 - 46789*x**3 - 10*x**2 + 274740007*x.\nAnswer: 24*x**2 - 280734*x - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*l - 12 = 0, -5*y + 20*l = 23*l + 8. Let v = 43 + -36.5. Sort v, -0.1, y in ascending order.\nAnswer: y, -0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4c4 (base 14) to base 12\nAnswer: -678","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*k + 371 - 351 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/13 (b) -2\/5 (c) -3 (d) 6 (e) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of s**8\/420 + s**7\/105 + s**6\/90 - 5*s**3\/3 - 4. Let x(h) be the third derivative of f(h). Find y, given that x(y) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u**3 + u**3 - 7*u**4 + 3*u**4 - u in the form f*u**2 + k*u**3 + i*u + r*u**4 + l and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (2*sqrt(65))\/sqrt(5) - ((sqrt(78) - -1*sqrt(78) - sqrt(78))*-1 - sqrt(78))\/sqrt(6))*-1)**2.\nAnswer: -32*sqrt(13) + 224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**4 - 612418*z**3 - 93752314693*z**2 + 3563449682520*z - 3469696755408 = 0?\nAnswer: -306228, 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -693.4033 rounded to the nearest integer?\nAnswer: -693","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5399746209 to the power of 1\/2, to the nearest integer?\nAnswer: 73483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 15*w - 2. Let p(u) = u. Determine -4*p(h) + z(h).\nAnswer: 11*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1203459374 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28241?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -35 + 30 - 30\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**2 + 293*b + 2513. What is k(-133)?\nAnswer: -1078","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19.5 + -20. Which is the closest to j? (a) 5\/2 (b) 3 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1859, 1893, 1925, 1955?\nAnswer: 1983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 295\/(-2232) - 330\/(-792)*3\/10 and 14\/341.\nAnswer: 3069","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 87924138 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 b when two letters picked without replacement from rbj?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-18) + 60\/18. Factor -l**4 - 28*l**3 - 293*l + 429*l + 648*l - 504*l**2 - l**d + 88*l**3.\nAnswer: -2*l*(l - 14)**2*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4631 + 4640. Let p(a) be the second derivative of 0*a**3 - 9\/2*a**2 + 0 - x*a + 2*a**4. Differentiate p(h) wrt h.\nAnswer: 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/72*((-6)\/(-5))\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59 = 27*z + 167 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13128 (base 9) to base 5.\nAnswer: -240410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 158 + 21. What is h rounded to the nearest ten?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 4*c**5 - 5368*c**4 - 27016*c**3 + 102112*c**2 + 350820*c - 808200 = 0.\nAnswer: -5, 2, 3, 1347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*(-1*sqrt(220) - sqrt(220)) - sqrt(220))\/((1*sqrt(110))\/sqrt(11) + sqrt(10)))\/((sqrt(200) - (sqrt(12)*-2 - sqrt(12))\/sqrt(6))*-1))**2.\nAnswer: 891\/676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -1. Let a = 10694 + -10694. Solve -4*k = -j + 2 + 2, v*k = a for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*w**2*y**3 - 7790032*w**2*y + 214666*w**2 - 5*w wrt y?\nAnswer: 6*w**2*y**2 - 7790032*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1335479 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 909*i - 728 = 907*i. What is the remainder when 737 is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 912 and 47467320.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47265 is divided by 145?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 79*l - 1520. What is x(-45)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2032619 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -5*j. Let l(h) be the third derivative of -h**4\/24 - 7*h**3\/6 + 3786*h**2 - h. Give l(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -111*u**3 - 2*u**2 + 7*u. Let q(l) = -74*l**3 - l**2 + 5*l. Let k(n) = -7*q(n) + 5*s(n). What is the third derivative of k(i) wrt i?\nAnswer: -222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7540101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8445626948?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*i - 5 = 34*i. Which is smaller: -2\/77 or i?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6656 and 1044592?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80990, 80965, 80942, 80921, 80902, 80885, 80870?\nAnswer: 80857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 4 - (5 - 1338\/270).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1439 + 1527. Calculate the highest common factor of 440 and p.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 4*y + 60, 4*n + 2*y = 2*n + 48. Let z = -53\/2 + n. Is -2\/7 > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-118)\/(-9) + (-20)\/18. Solve -w*m - 47 = 25 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 8:54 PM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of p**4\/4 - 5*p**3\/3 - 5*p**2\/2 - 6*p + 193. Determine l(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*p + 6434*p**3 + 3244*p**3 + 2*p - 4)*(1 - 1 + 6).\nAnswer: 58068*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -48 - -41.95. Let l = -0.05 - c. Let k = -7 + l. What is the closest to 0 in k, 0.5, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 6645393?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15 + 1d?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.02 + -0.02. Let f be (-6)\/(-8)*(-6)\/(-18). Which is the nearest to -1? (a) f (b) 1\/2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*171070.4\nAnswer: 85535.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10459 - -12079. Is i even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n\/(n*n**(2\/31))*n)\/(n\/(n*(n*n*n**7)\/n*n)))\/(n**0\/n**(-1)))\/((n\/((n\/(n**(2\/5)\/n*n)*n)\/n*n))**(-4\/19))**(-36) assuming n is positive.\nAnswer: n**(42652\/2945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18696797 rounded to three decimal places?\nAnswer: 0.187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 196697.6136 rounded to the nearest 1000?\nAnswer: 197000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -20\/215707 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -633*c - 631*c + 1268*c - 9 as x*c + v and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l**3*o*p**3 + l**3*o*p**2 - 2*l**3*o*p + 2*l**3*o - 17*l*o*p**2 + 5*o*p**3 - p**3 wrt p.\nAnswer: 6*l**3*o + 30*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37308.\nAnswer: 2, 3, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + (-290)\/572*2. Let a = b - -380\/6721. Let h = 411235.6 - 411236. What is the second biggest value in 4\/5, h, a, -2\/17?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -8 + 123*z**2 - 236*z**2 + 114*z**2 + 9*z. Let o be n(-10). Factor -2*b + 4*b**o + 1\/2*b**4 + 0 - 5\/2*b**3.\nAnswer: b*(b - 2)**2*(b - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98340\/(-900) - -106 - (-4)\/6?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhphphphphphh. Give prob of sequence phhh.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -da77 + 2?\nAnswer: -da75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 29*v**2 + 59*v - 89. Let u be y(-31). Let o(i) = i**3 - 7*i**2 - i + 6. Let w be o(7). Put u, -3, w in decreasing order.\nAnswer: u, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6094392 divided by 8?\nAnswer: -761799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 46\/144 - 1\/4. Let u(s) be the third derivative of -2\/45*s**5 + 0 - 2*s**2 - 1\/18*s**3 + y*s**4 + 1\/90*s**6 + 0*s. Find a, given that u(a) = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 3*o - 5*z + 106, 0 = 4*o - z - 190. Let l = 175 + o. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9133, -18253, -27373, -36493, -45613?\nAnswer: -54733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 650*t - 271*t - 34848 + 9455 = 0 for t.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -q**4\/54 - q**3\/27 + 27*q. Factor u(d).\nAnswer: -2*d*(d + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010202 (base 3) to base 8.\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + a139a?\nAnswer: a1395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = t + 3*d - 4, 0 = 4*t + 4*d for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 21\/4 of a micrometer?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -1. Let p(h) = 24*h**2 + h - 8. Give -6*k(i) + p(i).\nAnswer: 24*i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1545397669*r - 1545397669*r + 4*r**2.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 3*u - 25, u + 29 = 4*o - 0*u. Solve -6 = 2*a - 3*l + 7*l, 3*a = 2*l + o for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 9:43 PM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = -3*f - 3*z, 3*f + 4*z = 71 + 72. Is 10 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 937\/5 and 186 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -180613*n + 542646*n - 180893*n - 180866*n.\nAnswer: 274*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 98?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 9:11 PM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9623?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -222 - 384*m**2 - 219 + 657 - 215 - 5*m wrt m.\nAnswer: -768","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -115 or 0.3?\nAnswer: -115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/25*-5*(-13)\/((-13)\/4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a = 10 - 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11021200010 - 1120000?\nAnswer: -11100020010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 40 + 6*o + 30 - 56 in the form x*o + l and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 337 - 79801.\nAnswer: -79464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -990509 + 7370427. Let s = 2709918 - w. What is s rounded to the nearest 100000?\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 4:12 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -8*z**3 - 96*z**2 + 369*z + 44. What is u(4)?\nAnswer: -528","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3*r. Let m(h) = -34150*h**2. Calculate m(f(y)).\nAnswer: -307350*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a tonne in kilograms?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4*b - 48 = -2*p, -5*p + 40 = -5*b. Let j = -1 + p. Suppose j = -7*w - 5. Let g(z) = -3*z**2 - 3*z - 1. What is g(w)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -433140134 - 2?\nAnswer: -433140141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -43057775*h**2 + 43101191.\nAnswer: -86115550*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 2198 = 2*m, 4*q + 277 = 4*m - 1903. Let i = q + 550. Sort i, 0.16, 10, -0.5 in ascending order.\nAnswer: -0.5, 0.16, i, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -929.27 - -929. What is the nearest to j in -1\/3, 0.2, -3\/7, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*x**2 + 43*x**2 + 37*x**2.\nAnswer: 171*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 - 14. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 l when four letters picked without replacement from {m: 3, p: 2, l: 5}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*o + 249 - 54 - 4*o - 5*o + 7*o in the form v + w*o and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*y**2 - 14*y**2 + 883*y**3 - 267*y**3.\nAnswer: 616*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -32535?\nAnswer: 32530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 100 - 75. Does 7 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43 and 301.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) -0.0568 (b) 2.1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5406 (base 10) in base 6?\nAnswer: -41010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/27 and 149\/276?\nAnswer: 2484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3774*v + 3750*v = -209 - 271 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -150347994135 - -1.\nAnswer: -150347994134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 104501016?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6054?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -11010 (base 2) in base 4?\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -2\/15*i**5 - 1\/3*i**4 + 2\/3*i**2 + 2\/3*i + 0*i**3 - 2. What is r in u(r) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -447034853517 - 0.5.\nAnswer: -447034853517.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 21*z**2\/2 - 39*z - 23. Differentiate p(l) wrt l.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.5, -1.2, 5 in decreasing order.\nAnswer: 5, 0.5, -0.3, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 81 - 20. Suppose m = 3*j - 212. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b*b\/b**(-7\/4)*b**(-2)*((b*(b\/((b**2\/b)\/b*b))\/b)\/b*b)**(18\/5) assuming b is positive.\nAnswer: b**(11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 1 + 1)*((0 + 0 - 1)*(28187 + 28987 - 56601) + (-1 - 1 + 1)*(1 + 1 - 4)).\nAnswer: 1142*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(399))\/sqrt(7))\/((sqrt(36)*-4 - sqrt(36))\/sqrt(12)).\nAnswer: -4*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5270140 rounded to the nearest 10000?\nAnswer: 5270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/5 of a century in years?\nAnswer: 1740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 315*b - 3314. Give v(-11).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 45 = -4*q, -4*t + 2*t = 3*q - 25. Suppose 4*i = -2*c + 84, 5*c = 4*c + t*i + 7. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0460087371 to four decimal places.\nAnswer: -0.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1248, 48 in decreasing order.\nAnswer: 1248, 48, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hx when two letters picked without replacement from {i: 1, x: 2, z: 1, h: 2, d: 1, p: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mxh when three letters picked without replacement from ymbyyhxsymbyyss.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4742317g in nanograms?\nAnswer: 474231700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4023.976g in kilograms?\nAnswer: 4.023976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 - w**2)*((-w + w - 15*w**2)*(-14 + 5 + 0) + (-1 + 1 + 2*w)*(-3*w + 2*w + 5*w)) to m*w + t*w**4 + v + y*w**3 + z*w**2 and give t.\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 10\/(-3)*(-1 - 32\/40).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 8*w**2 + 2*w + 150*w**3 - 10 - 55*w**3 - 44*w**3 + 8*w**2 - 49*w**3. What is o(-8)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of -37*y**4\/24 - 4*y**3\/3 - 9*y**2 - 5. Let v be d(6). Is -231 greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 110 - 165. Let s = c - -51. Let v be 65\/45*-3 + s\/6. Let m(u) = -u**2 - 3*u + 6. What is m(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 2. Let q = i + 29. Suppose 4*d - q = 37. What are the prime factors of d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 48745720549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 213 (b) 54 (c) -6 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - z + 2. Let l be c(2). Let i be (-5)\/(-2) - 10\/20. Suppose -h - 5*b = 2*h - 99, i*b - 90 = -3*h. What is the highest common divisor of l and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9.4 + 9. Suppose -13*w + 14*w - 9 = 0. Let k be (w\/84)\/((-3)\/12). Sort v, 5, k in ascending order.\nAnswer: k, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + 821.3176455774.\nAnswer: 821.6176455774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-9 - -6 - 5 - -7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42 + -62 - (3 - (-1 + -4))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 7) to base 12\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 0*v + 3 = 3*x - 5*x - 5, 0 = 24*x + 35 + 157 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -5*u - 128. Let v be p(0). Is v less than -129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1137?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 14*m**2 - 2*m - 1. Let f be y(2). Calculate the common denominator of -35\/4 and (-4)\/1*(-9)\/f.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 110434*j**2 - 658659 wrt j.\nAnswer: 220868*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**2 + 7*f + 130. Let m be l(10). Solve 0*y + 8*y - 16 = m for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 2*o - 93685 = -93453, 5*v = 4*o - 234 for v.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -1, 31 in decreasing order.\nAnswer: 31, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -74 + 77?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 29 (b) 2\/41 (c) 1 (d) 5 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) 0.5 (c) 4 (d) 20 (e) -285\/17 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 12 = -4*n - 0*b, -4*n = -4*b + 12. Solve 5*f - 3 + 28 = n for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66289118, -132578234, -198867350?\nAnswer: -265156466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 - 20\/2)\/(15\/(-12)). Let j = 0.16 + -12.16. What is the second smallest value in j, c, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8652 and 9240.\nAnswer: 951720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 258*45.468\nAnswer: 11730.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*v - 171 = 0. Is v a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184296281 to the power of 1\/2, to the nearest integer?\nAnswer: 13576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1575*y - 20221 - 24783 - 4662 = 2309 for y.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1284 - 79.2016. What is b rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/850496 and -89\/5216.\nAnswer: 138630848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 423726791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + (0 - 4) + -31. Let q = -17 - m. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -286 at least -288?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xaaaxaxa. Give prob of picking 3 x and 1 a.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(896) - (sqrt(896) + 1*sqrt(896)) - (sqrt(168) - sqrt(168)*2)\/sqrt(3))\/(sqrt(288)*2 + (sqrt(200) - sqrt(8))*3).\nAnswer: -sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*y - 708 = -284 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -442*b = -2345492 - 2847124. Calculate the highest common factor of b and 132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nyinvidodnvi. What is prob of sequence yi?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 864182 and 14284?\nAnswer: 1728364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4837597?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/3)\/(i\/(i*i*i*(i**(-19)\/i)\/i)) assuming i is positive.\nAnswer: i**(-58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -831*-7.\nAnswer: 5817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29969189 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7020200 rounded to the nearest ten thousand?\nAnswer: 7020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 299*t - 268*t = 3410. Calculate the greatest common factor of 5445 and t.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 44.3 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70633?\nAnswer: 23, 37, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*o + 5*v - 3 = 86*o, 0 = -3*o - 5*v + 7 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*r + 3*r + 441. List the prime factors of (-21)\/((-10)\/((-3010)\/r)).\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*48\/16*1\/(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + h - 74 = 0, 2*k - 5*h - 51 = 4. Differentiate -7*u + 30*u + 32*u + k*u + 20 wrt u.\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -19*f**2 + 25*f + 75. Determine l(-4).\nAnswer: -329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2743*i - 30 = 5*o - 2742*i, -2*o - 8*i - 50 = -0*i for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1396049 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 432 and 411600.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 6:18 AM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 54\/5 of a millennium?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-32) + 63\/28. What is the common denominator of 11\/18 and t\/(-4) - 25\/16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**5\/2 + 2*g**4 - 48*g**3 + 64*g**2 + 640*g - 1536.\nAnswer: (g - 4)**3*(g + 4)*(g + 12)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -590641 divided by 590641?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2870 = -4*g + 3*g, 0 = -2*g - 10. Let h = v + -59231\/62. Calculate the common denominator of 61\/6 and h.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*c - 22 = 0, -c + 7 + 13 = 4*x. Suppose -4*i = -4*m + i + 46, -3*m + 2*i + 31 = 0. What is the remainder when m is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 28*q**2 - 3*q + 37. Let h(c) = 4*c**2. What is -14*h(d) - 2*p(d)?\nAnswer: -2*d**3 + 6*d - 74","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3528 and 2044?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 35*w**3 - 2*w**2 + w + 6. Let v be s(2). Suppose 0 = -4*p + x - 1643, 5*x - 1935 = 4*p - v. Let n = p + 579. What are the prime factors of n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*w**3 - 4 - 2*w**2 + 4*w**2 - 4*w**2 in the form o*w + p + r*w**3 + k*w**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78 + 22 + 13 + (-15 - (25 - 14))?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38364 and 1781007?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*-10*9\/(-1530))\/((-1)\/(-3))?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -54 in descending order.\nAnswer: -1, -3, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -332069\/2148039 + 203\/1153. What is the common denominator of 28\/3 and d?\nAnswer: 1863","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2986*j**2*o**3 - 55047*j**2*o**2*r + 9*j**2*o**2 - 244*j*o**3 + 2*j*r + 18*o**3*r + 6*o**2 wrt o?\nAnswer: 17916*j**2 - 1464*j + 108*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c**3 - 3*c**2 - 3*c - 8. Let m(l) = -4*l**3 - 2*l**2 - 2*l - 9. Let a(q) = 2*m(q) - 3*y(q). Let r be a(-4). Solve -2*h - 2 = r for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/(-90)*-6*3\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 5*q - 11. Let r be d(6). Let a = r - -5. Solve a*w = 2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 336 + -239. Suppose 3*y + 49 = u + 2*y, 4*u + 2*y = 202. What is the remainder when v is divided by u?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*l + 311 - 223 = -2*j, 0 = 45*l - 2*j + 95 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40737, -40728, -40709, -40674, -40617?\nAnswer: -40532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17100.29 micrograms in nanograms?\nAnswer: 17100290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 50, 401, 1374, 3293, 6482, 11265, 17966?\n\"Answer: 54*w**3 - 13*w**2 + 12*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 953.1367cm?\nAnswer: 9531367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-2\/21)\/m)*m*m**(2\/7)*m)\/(m**(-1))**41*((m*m\/m**0)\/m)**(2\/5)*(m**0)**(2\/19) assuming m is positive.\nAnswer: m**(4807\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 213536 + -1515555. Let l be ((-2401340)\/(-3) + 2)\/(4\/18). Let w = l + u. Round w to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 242 - -21023?\nAnswer: 21265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -1. Let k(o) = o + 19. Suppose 5*j - 5*f + 8 = -2, -2*f = -2. Let i(x) = j*k(x) - 5*p(x). Let l be i(-12). Sort 0, 5, l, -3.\nAnswer: -3, l, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/10*2\/(-4). Put 0.09, i, -4 in increasing order.\nAnswer: -4, i, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b + 2*b + 5*b)*(1 - 3 + 5 + (2 - 3 + 0)*(1 - 2 - 3)).\nAnswer: 14*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.5 (b) 1\/6 (c) 1\/22 (d) 1\/5 (e) 5.7 (f) -0.01\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-3) + 235\/(-120) + 3. Let a(v) be the first derivative of -1\/2*v**3 - 3\/16*v**4 - 6 - j*v**2 + 0*v. Determine t so that a(t) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 3*k + 5246, -321 = 4*r + 2*k - 4509. Suppose 13*u - r = 5*u. List the prime factors of u.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -110*k**2 - 174*k**2 + 56*k**2. Let y(p) be the second derivative of p**4\/6 + 2*p + 21. What is y(v(t))?\nAnswer: 103968*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of -x**7\/378 - 2*x**6\/135 - x**5\/45 + x + 180. What is y in v(y) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 1 (b) -3 (c) -13 (d) -0.4 (e) -6\/5 (f) -1\/10 (g) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 882 and 15471995.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3 + 0 + (3 - -36).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 394150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2100220020022 - -2000021?\nAnswer: -2100211020001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 5*d**2 + 2*d + 9. Suppose -8*r = f - 10*r - 29, -4*f - 3*r + 116 = 0. Suppose f - 9 = 4*y, -u = -5*y + 30. Give o(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-10)*-1 + 0. Let l = -3.4 + -396.6. Let w = l - -403. Which is the biggest value? (a) m (b) -0.3 (c) w (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -17*u**6\/2 - u**5\/10 - 7801*u**3\/6 + 2788*u. Find the second derivative of a(t) wrt t.\nAnswer: -3060*t**2 - 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n - 2 + 10 = -9*n + 4*j, 203 = 2*n + 50*j + 49 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7821834 to the nearest integer?\nAnswer: 2797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ugegeeeeeuegxguugue. Give prob of sequence gue.\nAnswer: 100\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -925.42 - -917. Let k = q - -9. Round k to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - (23 + -27 + 2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m = -11*m - 2*w - 28, 0 = -m - 5*w - 56 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 244*b + 3. Let s(n) = -15*n. Determine c(s(r)).\nAnswer: -3660*r + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*k + 2*o = -52*k + 21, 8 = 2*k + o for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l + 3. Let x(g) = -4*g - 5. Let z(t) = -5*w(t) - 3*x(t). Let j be z(-2). Which is the third smallest value? (a) 2\/7 (b) 3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sx when two letters picked without replacement from {e: 2, p: 1, x: 1, g: 1, s: 2, f: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 137271 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of i**3\/6 - i**2\/2 - 2*i. Let w = 14 - 10. Suppose -w*g = g. Give s(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 20675, 20873, 21211, 21695, 22331, 23125, 24083, 25211?\n\"Answer: q**3 + 64*q**2 - q + 20611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -340, -4241, -10742, -19843, -31544, -45845?\nAnswer: -62746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5380*j**2 - 5389*j**2 - 5382*j**2 + 16151*j**2 - 815*j**3.\nAnswer: -815*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8442958*h**3*q*v - 3*h**3*v - 1897*h**3 - 2*h**2*v - 7*h*v - 2*h wrt q?\nAnswer: -8442958*h**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-3))\/(20\/(-5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 u when two letters picked without replacement from {i: 5, m: 4, u: 2, w: 4}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 3521821?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tlv when three letters picked without replacement from {a: 1, v: 2, t: 6, e: 2, j: 8, l: 1}.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3168, 3176, 3188, 3204, 3224, 3248, 3276?\nAnswer: 3308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = g + 26, -4*v = 724 - 704 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 6:39 PM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 462 by -42.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*q + 56. Let g = 21 - q. Suppose -5*x + 245 = 4*c - 2*c, g*c = x + 653. Calculate the remainder when c is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -6.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/13, -2, 0 in decreasing order.\nAnswer: 0, -4\/13, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -60\/13, -2\/47, 0.03, -10.3?\nAnswer: -10.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, h: 3, v: 10}. Give prob of sequence aav.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 114150013 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45338 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*x**3 + 3*x - x + 22*x**3 - 12*x**3 wrt x.\nAnswer: 126*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -223*y + 5051. Calculate a(22).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -133032230 (base 4) to base 15.\nAnswer: -27d7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 greater than 6857?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - (3 - 2)*1. Put 0, q, -3 in ascending order.\nAnswer: q, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 5. Calculate the remainder when 9 is divided by ((-5)\/2)\/(2\/q).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 420866 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4804166\/7 or -686308?\nAnswer: -4804166\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - h + 9. Let p be l(3). What is the nearest to 3 in 1, p, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of h**4\/4 + 4*h**3\/3 + h**2 + 5*h - 17. Suppose 2*d - 7 + 1 = 0, -2*c = 2*d + 2. Determine j(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/18 - (0 - -2).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15171*i**2 - 18718 wrt i?\nAnswer: -30342*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/480 and 151\/7180248?\nAnswer: 143604960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1560 (base 8) in base 7?\nAnswer: 2365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 860039?\nAnswer: 23, 61, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -305453 + 305453.0163691. What is d rounded to 3 decimal places?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15.925 + 16.025. Which is the fourth biggest value? (a) p (b) 5 (c) 0.3 (d) -29 (e) -8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2753*a + 1740 = -3188*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1329516510?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 27 (b) 2 (c) -1.3 (d) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from diiic. Give prob of sequence dii.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**2 - 2*v - 5. Let t be m(4). Let u = t - 56\/3. Let q = 0.07 + 4.93. What is the nearest to -0.1 in 3, u, q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 3*i**2 + 8*i + 5. Give p(6).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/7, -1\/4, -2, -5\/7, -2\/193?\nAnswer: -2\/193","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 12 = -3. Suppose 4*c - 130 = -5*i + 2*i, -4*i = g*c - 101. Is c a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -368.065453 - -368.03. Round r to four dps.\nAnswer: -0.0355","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-27)*b)**10\/(b**(-28)*b*b*b*b**(-11\/6)*b) assuming b is positive.\nAnswer: b**(-1405\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-66)*1842\/614.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i = -457 + 7. Let t(h) = -h**2 + 28*h - 51. Let j be t(i). Solve 11*b - 20 - j = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16170692 a multiple of 172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356934 is divided by 247.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) 3 (b) -44 (c) -16.7 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*r - 173*r + 4 = 0, -f + 2*r + 7 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - z + 488. Let b be h(0). Suppose -4*n + 4*i = -b, 5*i - 2*i = -2*n + 259. Round n to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 10*z - 6*z + 4*m, 0 = -2*z - 5*m + 13 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4 - 22*h**3 + 66*h**2 - 74*h + 28.\nAnswer: 2*(h - 7)*(h - 2)*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 130003 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -34004 less than 0.34?\nAnswer: 34004.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -36 + 17 + 4 + 1 + 4 + 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 5*q - 26, 8*q - 5*q + k - 16 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12356931 to the power of 1\/2, to the nearest integer?\nAnswer: 3515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from exeeeeeeeeeex. What is prob of sequence xe?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.28, -46.59, 4, 2\/5?\nAnswer: -46.59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -114.85879 to zero dps.\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 6*d**2 - 6*d**3 + 6*d + 2*d**3 + 3 + 5*d**3. Let h = 13 - 17. What are the prime factors of t(h)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 8 - p**3 + 0*p - p + 2*p**3. Let g be 0\/(16\/4 + -8). What is the units digit of y(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (12 - (-96)\/(-6)))*(-10 - 567\/36)\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express h - 3 - 25*h**3 - h**2 + 34*h**3 + h**4 + 7 - 5*h**2 + h**2 in the form n*h**2 + b*h**4 + j*h + i*h**3 + u and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -31.\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57591 and 15822?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1297913?\nAnswer: 23, 56431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 PM and 1:58 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/16 in -5, 1\/4, 9492, 0.11, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111010 + 11?\nAnswer: 111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172187 is divided by 1205?\nAnswer: 1077","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 16, u: 1, e: 3}. What is prob of sequence me?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - l = -4*s + 2, -10 = -4*s + l. Suppose s*u + 40 = -2*u. Does u = -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71096963591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) - ((-4*sqrt(143) - sqrt(143)) + sqrt(143))*3) + (1*sqrt(143) + sqrt(143))*-3 + sqrt(143))\/(1*sqrt(704)*-2 + (sqrt(704) - 2*sqrt(704))*3)*1.\nAnswer: -sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/23, 4, -3\/7, -102, 2\/21, 6\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2362628.\nAnswer: 2, 590657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5.53587 millennia?\nAnswer: 553.587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*p - 52*p - 44 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -l**3\/3 + 2786. Let x(a) = -13*a + 35. What is p(x(v))?\nAnswer: -169*v**2 + 910*v - 1225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 + 6*b**2 + 2695*b - 2695*b + 29.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (734635\/15466)\/((-1)\/(4\/5)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 11651830 to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*t**4 + 2*t - 10*t**4 + 2*t**3 - 4*t**4 - 5*t**4 - 15*t**2 to s*t**4 + h*t + k*t**2 + y + o*t**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 55053.0149 rounded to the nearest 10?\nAnswer: 55050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 + -3 - -4) + 12. Let o = 12 - p. Let z be (-1)\/o + (-5 - -5). Which is greater: -3 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.598666 to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 + 14 + (1 + 0)*3823 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9825 and 21750?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 37631*s**4 + 34406 wrt s.\nAnswer: 150524*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jmjmmmmmmjjjm. What is prob of sequence mjjj?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.8, -2\/5, -305, 0.1, 237?\nAnswer: 237","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -312?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 1 - 6*d + 1 - 3 + 2. Let x be g(1). Let z(o) = -o**2 + o + 5. Let a(h) = -h**2 + 4. Let q(i) = -6*a(i) + 5*z(i). What is q(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1200 and 7400?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -0.06, 4258056?\nAnswer: 4258056","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1612*d - 237*d + 4212*d + 3552*d)*(-4*d + d + 2*d)*(d**3 - 2*d**3 - 2*d**3).\nAnswer: 27417*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 415151, 415145, 415139, 415133, 415127, 415121?\nAnswer: 415115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0574 - -0.1092. Round z to three dps.\nAnswer: 0.052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 153.51 and 3653.6778?\nAnswer: 3500.1678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(((-108)\/10)\/(-27))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58507533781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 68.338 to zero decimal places.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 175194438?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.92 - 23.88. Let z = 25.7 + q. What is the second smallest value in z, -9, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -437.7 + 810. What is c rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -127 - -194. What are the prime factors of o?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -785\/4 or 2\/2163?\nAnswer: 2\/2163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 347276961?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 7 = 3*i, -7*u + 2*i + 38 = -3*u. What is the remainder when 17 is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, x: 2, p: 1, a: 11}. Give prob of picking 1 a and 1 p.\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -366949, -366974, -366999?\nAnswer: -367024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 9:23 PM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/(-3)*21\/(-14). Suppose -5*m + 884 = s*h - 6*h, 0 = -3*m - h + 524. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + f**2 - f - 1. Let x(n) = 122*n**3 + 5*n**2 - 3*n - 3. What is 3*h(i) - x(i)?\nAnswer: -119*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 143357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/13*(7\/(7\/3))\/1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 34*l - 30*l + 59, -5*w = 7*l - 153. Solve -15*b + 5 + w = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -345 + 225. Suppose -2*a = -a - 4. Is (u\/(-14))\/(a\/(-98)) a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/8083 and -65\/159879?\nAnswer: 9432861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001102031818 to six decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104202874?\nAnswer: 2, 52101437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -160*c - 2. Is h(-1) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - ((0 - (3 + 0)) + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 222 and 14356?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + m - 1. Let h(r) = r - 1. Let z(o) = -o**3 + 9*o**2 + 24*o - 25. Let f be z(11). What is f*j(b) + 3*h(b)?\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2071899 to the power of 1\/2, to the nearest integer?\nAnswer: 1439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from kkkkkkkkfkkfkffkkfkk.\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 0 + (-2 - (0 - 4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in 2\/415, 5, 4?\nAnswer: 2\/415","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 28602 = 6*k + 3272, 0 = -y - 3*k + 6325. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 88 - 60. Let j = 31 + -49. Let y = j + s. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*p = 56. Suppose 0 = 5*k - 4*h + 9*h + 20, p = -3*k + h. Let i = k + 11. Calculate the highest common divisor of 24 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(256\/(-24))*(-4)\/18\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -435011, -435008, -435003, -434996, -434987?\n\"Answer: o**2 - 435012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2854*s**3 - 12*s**4 + 2*s + 5*s**4 + 2860*s**3 + 5*s**2 to the form o*s**4 + z*s**3 + q + j*s**2 + d*s and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2692831\/7 + 384693. Let -72\/7*l**4 + 312\/7*l**2 - 96\/7 + 16*l + 52\/7*l**3 - v*l**5 = 0. Calculate l.\nAnswer: -3, -2, -1, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -103937, -416363, -937281, -1666685, -2604569, -3750927?\nAnswer: -5105753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3 - 2994*f**2.\nAnswer: 2*f**2*(f - 1497)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -4303*r + 866. Calculate the remainder when o(-4) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 5305 = -14323. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 362*f**2 - 38*f - 85. What are the prime factors of s(-2)?\nAnswer: 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 276233 and 629.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.4424498 rounded to the nearest integer?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43\/6 or 0?\nAnswer: -43\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13683?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ieoo when four letters picked without replacement from {o: 4, i: 1, e: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5403 by -14738.\nAnswer: 5403\/14738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 + 643 = -5*u. Let a = u + 168. Calculate the remainder when a is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + 2*f**2 - 2*f**2 - 3. Let x(l) = 105*l - 417. Let w be x(4). Let y(c) = 2*c**2 - c - 4. Give w*k(o) - 2*y(o).\nAnswer: -o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, n: 3, s: 3, q: 4}. Give prob of picking 2 s and 1 h.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.61527 + 0.38473. Which is the closest to 6201? (a) h (b) 1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -277*d**5\/5 - 224*d**2 + 2566. Find the second derivative of r(m) wrt m.\nAnswer: -3324*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of -4*o**6\/45 + 11*o**3\/2 - 31*o. Let c(v) be the second derivative of x(v). Let d(z) = -2*z. Give c(d(y)).\nAnswer: -128*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -7957891 rounded to the nearest 10000?\nAnswer: -7960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c**2 + c**2 - 2*c**2 + (10*c + 17*c - 7*c)*(-c - 7*c + 4*c) to the form y*c + o + p*c**2 and give p.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 426394272 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 25 = z, z - 5*n + 26 = 1. Let i = -4.1 - -2.8. Let m = 0.3 + i. What is the nearest to z in -0.2, m, 2\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*s - 173*s - 49*s - 60*s + 20*s - 3.\nAnswer: -316*s - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1865, 0, -3 in ascending order.\nAnswer: -3, 0, 1865","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 6. Let b(z) be the third derivative of -z**6\/120 + z**4\/24 - z**3\/6 - z**2. Let a be b(1). Put a, -2, o in decreasing order.\nAnswer: a, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 256204.\nAnswer: 2, 13, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 234, 727, 1526, 2613, 3970, 5579?\n\"Answer: -3*n**3 + 171*n**2 + n + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 n when two letters picked without replacement from mnmddkm.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14156 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*c + 792 = -25*c + 72*c for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3536 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -439*z**2 + 72*z**2 + 361*z**2.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9626\/3 + -32057\/12. Let m = i - 524. What is the common denominator of m and (-2)\/7 - 1431\/(-84)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16.2 + 3.2. Let v = r + 12. Put -3, v, -0.1 in descending order.\nAnswer: -0.1, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -240*u**2 - 5222*u + 1282. What is h(-22)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 z when four letters picked without replacement from {z: 6, c: 2}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -66381446.6 + 66381431.60000164. Let i = -15 - c. What is i rounded to 7 dps?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -8021 + 8021 + 27*g**2. Let h(b) = -5*b**2. Calculate h(v(q)).\nAnswer: -3645*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001221933 rounded to seven dps?\nAnswer: 0.0000122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2091321 + -2?\nAnswer: -2091323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 16735870, 16735869, 16735868, 16735867, 16735866?\n\"Answer: -z + 16735871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 600\/504*81 - ((-11)\/7 - -2). Which is the fourth biggest value? (a) -2\/11 (b) l (c) 1\/4 (d) 1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -7*x + x**2 - 2 - 4 + 15. Let g be o(6). Let -4*s**2 - 11*s**3 - 14*s**g + 23*s**3 = 0. What is s?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 8, k: 2}. What is prob of sequence ssss?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 1 + 0 - 3*j**2 - 10*j + 4*j**2. Suppose 91*d - 373 = 810. List the prime factors of m(d).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 741, 745, 759, 789, 841?\nAnswer: 921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -4, -135, -64, -5 in descending order.\nAnswer: 4, -1, -4, -5, -64, -135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = p, -p = -y - 3*y - 27. Suppose -3*z = 4*o - 23, 19 = 43*z - 38*z - 3*o. Calculate the highest common factor of p and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29218279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10.5 - 5.5. Let x = 1 + 0. What is the closest to x in n, 1, 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039052111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 429 = 2*y, 4*v = 3*y + 2*v + 611. Let s = y - -1440\/7. Calculate the common denominator of -93\/4 and s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 49*g - 461. Let o be h(-57). Let p(w) = 11*w + 1. Determine p(o).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-56)\/40 - 4122\/(-30). What is the greatest common factor of r and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 113*y + 1 - 43*y - 51*y - 41*y. Determine h(1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32.91 - 1390866499\nAnswer: -1390866466.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8282 + -5779. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, a: 3, b: 13}. Give prob of sequence bb.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.497 - 1.397. Which is the third biggest value? (a) -46 (b) r (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 13 - 41)*(4*q**3 - 12*q**3 - 18*q**3).\nAnswer: 390*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 9:30 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 858 - 2*t - 858 + 0*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -8*f. Let g = 17 + -12. Let l(o) = -o**2 - 3*o**2 + o**2 + g*o**2. What is d(l(p))?\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (0 + -10 + -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 6) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + h**2 - h - 1. Let w(p) = -2*p**3 + 2*p**2 + 3*p - 1. Let q be 3\/2 + 10\/(-4)*(-294)\/(-1470). Calculate q*w(y) + b(y).\nAnswer: -3*y**3 + 3*y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*x - x + 52. Suppose -4*q - 10 = q. Let v be q\/(-3) + (-4)\/6. What is the closest to -1 in -1, x, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 307 divide 1477591?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 + -17. Let t = 131 - -15. Let g = t + -98. Calculate the highest common factor of g and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 12 = -6*f. Suppose 0 = -3*v - 2*v. Suppose 1 = -2*q + 4*s + s, -3*s + 3 = v. Solve 0 = q*n - p - 6, -f*n + 0*p + 4 = -4*p for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -102*n**2 + 2*n + 14. Let p be s(6). Let l = p + 7535. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -368*a + 725*a - 361*a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 379129579.97 less than -1.2?\nAnswer: -379129581.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjrqejrqjreqer. What is prob of sequence rr?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1123 + -622. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 878 + 743 + 6861*s - 1621. Let t(v) = 2*v. What is t(f(d))?\nAnswer: 13722*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5)\/((-25)\/(-15))*-9839*(3 - 2).\nAnswer: 3, 9839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1264 + -1257.97. Let b = a + 0.07. Let l = b + -1.1. What is the third biggest value in l, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 12 + -1 + 11 + -7 + -7\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 814 divided by 22\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -238.422 + -0.5\nAnswer: -238.922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(147) + (sqrt(147) - -2*sqrt(147))*-5) + -3)**2*-3*-3.\nAnswer: -10584*sqrt(3) + 1037313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33 by 12355.\nAnswer: 33\/12355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*z**3 - 815*z**2 + 18675*z - 10125.\nAnswer: (z - 45)**2*(9*z - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2149 (base 10) in base 9?\nAnswer: 2847","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(0 + 3 + -3 + (sqrt(891) - sqrt(891)*1)*-4) + 5)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.14 and 19.87.\nAnswer: -2.7818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -814830880*v**5 - 2*v**2 + 47577*v + 334 wrt v.\nAnswer: -48889852800*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 10*y**2 + y - 5. Let v be f(10). Let t = -5 + v. Suppose t = j + 2 + 4. Is j less than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4769933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(1331) + (sqrt(1331) - (sqrt(1331) + (sqrt(1331) + 2 + sqrt(1331) + sqrt(1331))*1))**2 + (-5 + sqrt(1331)*-3 + sqrt(1331))*-6 + 0.\nAnswer: 275*sqrt(11) + 12018","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-4)*d**(-2\/15))\/(((d*d*d**(1\/5)*d)\/d)\/d**(-4)))**(-1) assuming d is positive.\nAnswer: d**(31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -272, -5, 0, 5, 4227 in descending order.\nAnswer: 4227, 5, 4, 0, -5, -272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 12200 (base 3) to base 4\nAnswer: 2121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*w - 3*w - 276 = 4*w - 14*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1*sqrt(114) - sqrt(114)) - 1*sqrt(114)*-4)\/(2*(-2*sqrt(486) - sqrt(486))*4).\nAnswer: -sqrt(19)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2912799.\nAnswer: 3, 479, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(1\/24)*((a*a\/a**(2\/53))\/a)\/a)\/(a\/(a\/a**(-4\/3)))**3 assuming a is positive.\nAnswer: a**(6365\/1272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90997 is divided by 15155.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -105515*d**2. Let u(o) = -9*o. Determine u(s(q)).\nAnswer: 949635*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -5. Let t be ((-11)\/((-11)\/10))\/1. Suppose 2*w - t*p + 5 = -7*p, 3*w + 3*p - 30 = 0. Solve 3*v - u = 4*j, w*v - 3*v + 6 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {f: 3, l: 15}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-22) + ((-195)\/(-10335) - 819819\/6413)?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62288851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (242 - 2 - 26)*(8*f - 25 + 25) - f - 2*f + 2*f + (1 - 2 + 3)*(-f - 4*f + 3*f) - 4*f + f - f to d + z*f and give z.\nAnswer: 1703","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206490 is divided by 209?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, x: 2, s: 7}. What is prob of picking 1 c and 1 s?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152)*1*-6 - sqrt(152))*-3)\/(sqrt(1152) - (sqrt(1152) + (sqrt(1152) - 2*2*sqrt(1152)))).\nAnswer: 7*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.25 - 0.25. Let z = 517.2 + -517. Which is the nearest to -26? (a) z (b) -5\/3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1502.9685 + -4\nAnswer: 1498.9685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*a - 623 = 0, 3*n - 2*a - a - 1878 = 0. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2210 and 195.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1409166*m**4 - 464692*m**2 + 3.\nAnswer: -33819984*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-2*sqrt(240) - 6*1*sqrt(240))\/((sqrt(12) + 2*sqrt(12) - sqrt(12) - sqrt(12))*3 - sqrt(12) - -4*sqrt(24)\/sqrt(2)))**2.\nAnswer: 1280\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 6:37 AM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -93, 10, 2 in ascending order.\nAnswer: -93, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -31*0.228\nAnswer: -7.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -11 - 2*k + 3*k - 3*k. Let h be u(-8). Suppose -t = -h*t + 188. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -379\/4 + 94. Let t be (5\/6*(-288)\/(-160))\/2. What is the nearest to 4\/5 in t, 2\/15, l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 30*k**3 - 14*k**2 - 45*k - 31. Give v(-1).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 180 = -4*y. Calculate the greatest common factor of y and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5*z + 7 = 0, 0*k = k + 2*z + 1. Let q be -1 + -1*k - 285\/(-171). Put 1\/6, q, 0, -1\/4 in descending order.\nAnswer: 1\/6, 0, -1\/4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-8)\/52 - 50\/156.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -351, -234, 419, 1986, 4845, 9374, 15951, 24954?\nAnswer: 36761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -52, -0.5, -5, -0.2 in descending order.\nAnswer: -0.2, -0.5, -5, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 251*s**3 + 6*s**2 + 6*s - 14. Let d(w) = w**3 - w**2 - w - 5. Let n(c) = 6*d(c) + x(c). Differentiate n(r) with respect to r.\nAnswer: 771*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6651 and 588244?\nAnswer: 5294196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 7054089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 226 = 5*c + 273, 0 = -2*z - 4*c + 256. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -195, -191, -183, -177, -179, -195, -231?\nAnswer: -293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*a**2*s**3 + 6*a**2*s + 12*a*s**3 - 16*a*s**2 - 3*a*s wrt s?\nAnswer: 24*a**2 + 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6387 and 6.\nAnswer: 12774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3*n - 63. Calculate q(-22).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -53 + 88. Solve -6*x = x - b for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 8*a**2. Let o(y) = 817*y**2 + 688. Let r(v) = -2*v**2 - 2. Let n(k) = 3*o(k) + 1032*r(k). Calculate n(h(d)).\nAnswer: 24768*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 50614442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 828 and 162?\nAnswer: 7452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 17*j - 115. Let f be l(7). Put -1, 0.1, f in increasing order.\nAnswer: -1, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7079*h**3 + 749463 + 94*h**2 - 749463 - 7069*h**3 - 94*h**2.\nAnswer: 10*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 91 + 241)*(-3*f**4 + 0*f**4 + 6*f**4 + (-2*f**3 - 1 + 1)*(-1 + 1 - 2*f))*(3 + 2 - 4)*(2*f - 2*f + f).\nAnswer: 2310*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/3)\/v)**(-37)*(v**(-1\/2)*v)\/(v\/((v**0*v)\/v)) assuming v is positive.\nAnswer: v**(293\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 773, 1570, 2367, 3164, 3961?\nAnswer: 4758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2578*l + 120*l = -292502 for l.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/74)\/((-22140)\/(-19980))?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**26)**(-1\/7)*(x\/(x*x**(-15)))\/(x**(20\/3)*x))**(-25) assuming x is positive.\nAnswer: x**(-1900\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*x + 13*x - 3*x)*(-6 - 6 + 8) to the form b + m*x and give m.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**3 + q**3 + 6*q**3)*(3*q - 3 + 3 + 3*q - 2*q - 2*q + 2*q + 0*q - 4*q + (0 - 2 + 4)*(2 - 2 + q) + 0*q - q + 3*q).\nAnswer: 16*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**2 + 21*a - 40. What is q(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 7*a + 10. Let h(c) = -9*c - 12. Let p(t) = 5*h(t) + 6*l(t). Let r(u) = 17*u. Determine -15*p(m) - 3*r(m).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 8, g: 7, v: 1, y: 2}. What is prob of sequence mvmy?\nAnswer: 7\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 5*x - 8, -2*m + 94 = m + x. What are the prime factors of m?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -1734*m - 64129. Determine p(-37).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (80 - 73) + 2 + -1 + -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 - 23.99999688. What is b rounded to 7 dps?\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-1\/11)*m)\/(m\/(m**(2\/5)\/m))*m**(-5)\/((m*m\/((m**(2\/5)\/m)\/m))\/m) assuming m is positive.\nAnswer: m**(-401\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 6:48 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-4 - (-6 - 2)) + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 46.177239?\nAnswer: -46.177239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 9) in base 15?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -15*m + 2. Let z(u) = -u + 3. Let f(t) = 6. Let l(n) = -n - 19. Let h(w) = -7*f(w) - 2*l(w). Let d(a) = 3*h(a) + 4*z(a). Calculate o(d(j)).\nAnswer: -30*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*w - 1. Suppose -2*p - v = -10, -w*p - 10 = -3*p - 3*v. Which is the second biggest value? (a) -1 (b) p (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14333314 (base 6) to base 2.\nAnswer: -1111000101111001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 5:17 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 367 is divided by 114\/(-2 + (-42)\/(-12)).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -17 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -82013?\nAnswer: -82017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + sqrt(2) + 0 + sqrt(2)).\nAnswer: 4*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1196 a factor of 7158060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 705 and 129?\nAnswer: 30315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 1.1, -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 2*f + f)*(120 + 582 + 315).\nAnswer: 1017*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -2*i + 20. Let o(s) = i + 6*s - 2 - s - 1. What is the units digit of o(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -401485 + 694176. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 99010 by 42.\nAnswer: 49505\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2*w**3 - 534*w**2 - 1060*w = 0?\nAnswer: -265, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2*b - 2 - 28 = 0, 0 = -u - 3*b + 20. Suppose 0 = -c + 2*c. Suppose c = 6*a - a - 50. What is the smallest common multiple of a and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 7*d**2 - 5*d + 4. Let o be h(-6). Let v be 30\/20 - 1\/o. Let q(z) = -z + 7. Let i be q(4). Solve -v = -4*k + i*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 101 - 99. Let r be 6634 + (2 - (5 - 4)) + d. Suppose 1404 = u + h - 813, 3*u = 4*h + r. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -331505 (base 7) in base 8?\nAnswer: -161551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -16004502?\nAnswer: 16004505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) 5 (c) -0.2 (d) 0.1 (e) -70 (f) 51\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 141, 5, -1, 0 in descending order.\nAnswer: 141, 5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 6 = -4*a + 7*a, 5*w + 5*a = -10. Which is smaller: -5\/6 or w?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(14) + sqrt(126)))\/sqrt(252).\nAnswer: -4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 11757724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/2511810 and -17\/6658290.\nAnswer: 419472270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 4*s + 4. Let i be y(4). What is the derivative of 0*l + 25 + i*l**4 - 36 + 0*l wrt l?\nAnswer: 16*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6195 + -3?\nAnswer: -6198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13923096802 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (30\/(-25))\/(1*2\/(-1450)). List the prime factors of ((-504)\/70)\/((-9)\/g).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 553 (base 7) to base 4.\nAnswer: 10123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*w**3 - 29*w**3 - 36 + 91*w**3 + 10*w**2 - 22*w**3 to g*w**2 + h*w + u + j*w**3 and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 7*l - 3. Let a be h(8). Suppose -2*d - 14 = -a*t + d, 5*d = 5*t - 10. What is the second derivative of -3*n + n + t*n**2 - n**2 wrt n?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**2\/9 + 3580*i - 237248 = 0.\nAnswer: -16176, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*x = -3*n - 33*x - 12, 0 = -2*n - 314*x + 312*x - 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 818, 802, 750, 644, 466?\nAnswer: 198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/4275 and 63\/275.\nAnswer: 47025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -12, 2, -0.11, -5.\nAnswer: -12, -5, -3, -0.11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*x**2 - 715*x - 14490 = 0. What is x?\nAnswer: -18, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of p**7\/630 - p**4\/24 + p**2. Let o(r) be the second derivative of l(r). Let f(w) = -2*w. Determine o(f(x)).\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 0.8, -80, 5.7, -2\/167, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**2 - w + 1. Let p be o(-1). Suppose -12*n + 13*n - 13157 = p. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2452 = -97*j + 997 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 10*f**2 + 708*f - 198. Calculate o(-71).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 12*w**2 - 890*w + 11361. Give m(13).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1061 - -3?\nAnswer: -1055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318057168 is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 73\/2 + -35. Let n(g) be the first derivative of -t*g**2 - 1 + 0*g. Let p(v) = -v. Determine p(n(m)).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/7 + 2238*o**2\/7 - 139680*o.\nAnswer: 2*o*(o - 336)*(o + 1455)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pn when two letters picked without replacement from pnxgxxnrrgxnp?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4c2 + -19cf8?\nAnswer: -1a1ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 a, and 1 q when three letters picked without replacement from jajjjwnwqww?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 228649, 457298, 685957, 914632, 1143329, 1372054, 1600813, 1829612?\nAnswer: 2058457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1305 + 3994. What are the prime factors of b?\nAnswer: 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**3 - 2*j + 2*j**3 - 3*j**3 to the form l*j**2 + y*j**3 + h*j + q and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of n**5\/60 + 7*n**4\/24 + 5*n**3\/6 - 2*n**2. Let i be f(-7). What is the greatest common factor of i and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -135299\nAnswer: -135299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**2 - 2*y**2 + 0*y**2 + (2*y - 4*y + 0*y)*(-16 + 5 - 21)*(1 + 2 - 6)*(4*y - y - y) + 6*y**2 - 10*y + 10*y.\nAnswer: -380*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(539) + -3 + sqrt(539) + -1*sqrt(539).\nAnswer: -3 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/8)\/(-9)*(-96)\/(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, a: 2}. What is prob of sequence aa?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d + 31. Let j(u) = 6*u**2 - 90*u. What is k(j(l))?\nAnswer: -12*l**2 + 180*l + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(33\/198)\/(3\/189).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1201110 + 2112020?\nAnswer: 11020200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 0 + 2 + 1 - 32*w to u + z*w and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llylllllllcll. Give prob of sequence cy.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*h + 5*p - 2, 0 = -h - p + 3. Suppose -4*j = -c - 4300000, 0*j - 21500000 = h*c - 5*j. What is c rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2905 = o, 2*x - 1475 = 15*o - 10*o. Let v = x - 306. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -8*g**3 + 21*g**2 - 4*g - 12. Let x(t) = 6*t**2 - t. Determine v(l) - 4*x(l).\nAnswer: -8*l**3 - 3*l**2 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -3*g - 18, -2*v = 4*g - 5*g - 21. Sort g, 3, 5 in decreasing order.\nAnswer: 5, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2376 and 59004.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 13*a**2 + 2*a + 12. Let d(l) = 38*l**2 + 6*l + 36. Calculate 4*d(y) - 11*p(y).\nAnswer: 9*y**2 + 2*y + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*w + 58 = 93*w - 110 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2310 and 248101.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 + 10121220200200?\nAnswer: 10121220200222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 56 - 53. Let d(q) = -15 - 2*q - q**3 - r*q - q**2 + q + 5*q. What is d(0)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5047 a factor of 95070665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 4*k**3 + 2*k**2 - k. Let c be w(1). Let y = -3 + c. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 903 is divided by 165?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-20)\/25*(-110)\/88)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -52\/11 > -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 5:07 AM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -135 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.40749792 to 2 dps.\nAnswer: -1.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9368 is divided by 1167?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(300)*-2 + -3 + sqrt(300))*-4)**2.\nAnswer: 15360*sqrt(3) + 79104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 32 + 10. Let j(d) = -d**3 + 4*d**2 + 8*d - 5. Let a be j(5). Let x be 42\/a + (-1)\/10*2. Solve 4*t + 7*r - 5 = x*r, 5*r - u = -t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, x: 7, u: 4, f: 5}. Give prob of picking 1 f, 2 u, and 1 g.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 40 = -5*u, 3*h - 24 = u + 3*u. Let n = -5429\/4 - -1368. Calculate the common denominator of n and (1\/h)\/((-3)\/51).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 147*o*t**2 - o*t + 30*o + 5*t**3 + 5*t wrt t?\nAnswer: 294*o + 30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1406 divided by 707?\nAnswer: 1406\/707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2084*y + 23612 - 156988 for y.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 76352*t + 65*t**2 - 76134*t - 60*t**2 - 2 in the form c + j*t**2 + k*t and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1430956163 minus -0.3?\nAnswer: 1430956163.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 1 - 4 + (0 + 2 - 4)*(45 - 61 - 38))*(-2*x - x + 5*x) to i + z*x and give z.\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8265336, 16530672, 24796008, 33061344, 41326680, 49592016?\n\"Answer: 8265336*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31104871 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of 1\/140*o**6 - 1\/210*o**5 + 0*o**3 - 1\/245*o**7 + 0*o + 2*o**2 + 1\/1176*o**8 + 0*o**4 + 0. Factor u(f).\nAnswer: 2*f**2*(f - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 111 = y + 2, -11*y = 2*x - 114 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1 + 4)\/(36\/468) is divided by 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -2*c + 14331, -4*c - 6*n + 28651 = -5*n. Is 132 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 8 = 3*p - 28, 2*k = -5*p + 24. Suppose -k*m + 1008 = 14*m. What is the remainder when 500 is divided by m?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2*sqrt(3))**2 + 0 + -1 - 2*sqrt(9)\/(-4*sqrt(9)\/sqrt(3)).\nAnswer: sqrt(3)\/2 + 71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1379 + 1433. What is the third smallest value in -2.6, p, 0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/1482603?\nAnswer: 2\/1482603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - (30\/(-5))\/2. Suppose -1 - b = 3*t + 5*c, t - 5*c = 12. Suppose t*f + 15 = 3*f. What is the remainder when 56 is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1063 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 15, 30?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*a + 97*a + 486 = 315*a. Factor -192\/5 - 1323\/5*x**4 + 2208\/5*x - 7356\/5*x**2 + 5796\/5*x**a.\nAnswer: -3*(x - 2)**2*(21*x - 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/24 and -49\/15482.\nAnswer: 185784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 272879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4358\/9 - 484. Let l be 2\/15*(78\/(-24) + 2). Which is the third biggest value? (a) l (b) j (c) 7 (d) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -s**2 - 2. Let c be o(-2). Let x be (-290)\/(-14) + 6\/21. Solve -p = 5*b - x, 9*p + 15 = c*p + 5*b for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 167*c - 1367. Determine r(10).\nAnswer: 303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2172 = m - 2183, 3*c - 4*m = -17. Let h(a) = 6*a + 22. Calculate h(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1524, 1520, 1516, 1512, 1508?\nAnswer: 1504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) - 1*sqrt(170)*2) + sqrt(170) - 3*-2*sqrt(170))\/((sqrt(1440)*3 + sqrt(10))*2*-3) + 3.\nAnswer: -sqrt(17)\/37 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -4*u - 12. Calculate the highest common divisor of 9 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnyt when four letters picked without replacement from ytynynytttyyt?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 9. Let k be (-2)\/(-3)*h + 2. Which is the closest to -1? (a) 1\/3 (b) 0.3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 302574602?\nAnswer: 2, 11, 17, 809023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 divided by 2?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 59 + 61. Suppose 213 = 3*z - 3*u, -z + 0*z + 2*u + 68 = 0. Let r = t - z. Calculate the remainder when r is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 290, 304, 334, 386, 466?\n\"Answer: x**3 + 2*x**2 + x + 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2*(3 + -1 + sqrt(5)))**2.\nAnswer: 64*sqrt(5) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 4*y = 20. Differentiate -y + 3 + 1 - 7*j + 8 with respect to j.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 12*d**3\/7 - 5120*d**2\/7 - 12004*d\/7 - 3432\/7 = 0.\nAnswer: -2, -1\/3, 429","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267*d = 208*d + 531 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-302)\/(-22) + -2008 + 1994.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, g: 1, h: 1, z: 1, d: 2}. What is prob of sequence ghd?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 177013429 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 4*z - 160. Suppose z + 5 = 3*o. Calculate the greatest common divisor of o and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1283?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3756883019?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a century in decades?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1129739 to the power of 1\/2, to the nearest integer?\nAnswer: 1063","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f, 1 o, and 1 z when four letters picked without replacement from {o: 1, z: 1, f: 2, k: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, -0.2, -2804328, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2*h**2 + 17612*h + 21485618 = 0.\nAnswer: -7343, -1463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 21*x - 1. Let t be v(1). Let g be (0 + 1)*6\/2. Suppose h = -g*h. Solve 0 = 4*w - w + 15, z - 4*w - t = h for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*-4*2\/(-56)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 55347957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 7*f**2 - 13*f + 5. Suppose -5*t - 25 = -2*o, 0 = t - o - 0 + 2. Is 16 a factor of q(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*j = 10 - 762 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*b**3 - 44*b**2 + 16*b + 176 = 0. Calculate b.\nAnswer: -11, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 2, -x - 720 = 5*k + 4*x. Let r = k + 173. Solve -m + y = -1, 4*m + y + y - r = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/2)\/(3 - (-80)\/(-25)). Let t(i) = w*i + 14*i - 23*i + 18*i. Let s(h) = h. Give t(s(p)).\nAnswer: 14*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of 2*r**2 - 1655. Let o(v) = -216*v. Give o(b(h)).\nAnswer: -864*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**5 - 3*b**5 - b**5 + (2 - 2 - 2*b**2)*(-4*b**3 + b**3 + 0*b**3).\nAnswer: 5*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5122783680219 less than -0.013?\nAnswer: -5122783680219.013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9017?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 275*p**4*r + 1235*p**4 - 3*p*r + 38*p - 852*r - 1 wrt p?\nAnswer: 3300*p**2*r + 14820*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u - u - 20, -4*u - 20 = 3*y. Put 2, y, 5 in decreasing order.\nAnswer: 5, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - 3 + 3 + (-4 + 4 + 2)*(-t + 3*t - 3*t) - t - 3 + 3)*(-4177 - 2783 + 1873).\nAnswer: 20348*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 7*j)*(3*j - j + 0*j + (-2*j + 2*j + 2*j)*(6 - 2 - 3)).\nAnswer: -28*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 195668 and 275?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*j + 5*a + 105, 195 = 5*j - 5*a. Calculate the remainder when j is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + c**2. Let y be v(1). Suppose 5*h = -2*o - o + 14, 4*o - 2*h - 10 = 0. Put y, -4, o in increasing order.\nAnswer: -4, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 3*z**2 - 2*z**2 + 0*z**2 - 2*z**2 + 3*z**4 as c*z**3 + q*z**2 + t + x*z**4 + k*z and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 92707789591261 + 0.4.\nAnswer: 92707789591261.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -18 + 3a65?\nAnswer: 3a4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -24. Calculate the remainder when 81 is divided by t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 9:20 PM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**3 - 45*q**2 - 11*q + 12. Does 18 divide n(24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -134 - -136. Let a(x) = -82 - r*x + x + 41 + 42. Let o(d) = 3*d + 3. Give -2*a(m) + o(m).\nAnswer: 5*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7446 = 460*l + 3134 for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2.5, 2285407, 5?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - d + 3. Let w be j(0). Solve 5*h + 8 = -3*f, h + 2*h = w*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 7*x**3 + x**2 - 2*x - 7. Let c be 11 + -5 + -2 + 2. Let w(k) = k**3 - k**2 - k. Let m(u) = c*w(u) - g(u). Give m(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/17 + 2386*n\/17 + 4780\/17.\nAnswer: -2*(n - 1195)*(n + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 3*f + 18, -7*c + 5*f = -2*c. Suppose -c*u + 12 = 42. Let w(a) = -a**3 + 4*a**2 - a - 5. Let b be w(4). Which is bigger: b or u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 692 a factor of 139452181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 4 = 271*r - 275*r, 12 = -r - 2*w. Sort 8, r, 137 in descending order.\nAnswer: 137, 8, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2277*t + 28*t**2 + 2277*t.\nAnswer: 28*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -89 in 0.2, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1552 + -237?\nAnswer: -2011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/3, 0.3, -5, 0.16?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 5*a**2 + 113*a - 41. Let w be n(-23). Let q be w\/(-2)*109\/(-545). Let r = -2 + 1. What is the closest to 10 in q, r, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -7. Suppose z + 2*p = 2*z - 10, 0 = -5*z - 3*p - 2. Which is the closest to -0.4? (a) 3 (b) z (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3.5 (b) 251 (c) 0 (d) -1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8699994 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 808064 and 16.\nAnswer: 808064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 19121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -5*j**2 + j**3 - 14*j + 4*j - j**2 - 20. Let a be 7*(-110)\/(-70) + -3 + (-4)\/(-4). List the prime factors of m(a).\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51016.\nAnswer: 2, 7, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.70094 times 0.2\nAnswer: -0.140188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = c - 4*c - 5*g, 2*c = 5*g + 7. What are the prime factors of (-98)\/c + 3\/(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/4 - (-1)\/4. Suppose -c - d - 15 = 0, -4*d = -3*c - 12 - 26. What is the remainder when 25 is divided by (c\/(-3))\/(k\/(-3))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -2*t + 2678, -74*s = -79*s + 4*t - 2686. Let c(q) = -266*q - 2. Let v be c(2). Is v at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/((-90)\/(-4))*-235. Let r = y - -100. Is 81106\/r + (-30)\/45 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -189*(-16)\/(-36)*((-18)\/(-12) + (-61 - -58)).\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*n. Let x = 2 + 3. What is the nearest to n in 2\/5, 2, x?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22 + -13343?\nAnswer: -13321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 0*c - c)*(2 - 2*c - 2)*(-77 + 46*c + 77)*(22 - 22 - 2*c) + c**4 + c**4 + c**4.\nAnswer: -365*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.09 + 3.91. Let v = 16.76 - 17. Let q = 0.34 + v. Which is the third smallest value? (a) -2\/17 (b) n (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -2*z + 3*i - 7, 0 = -5*i + 5. Differentiate 12*g**4 + 6*g**4 - 11*g**z + 6 wrt g.\nAnswer: 28*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 + 1 + 0*t**2 + t**2)*(8 - 3 - 10)*(1 + 0 + 0).\nAnswer: -5*t**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 287 and 0.293?\nAnswer: 84.091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mgd when three letters picked without replacement from gmccdd?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/13)\/t**(-7\/4)*t**(-3\/8)*t*t**(-6))\/((t*t\/t**(-2)*t)**(-12\/7)*(t\/(t*((t**(2\/9)\/t)\/t)\/t))\/(t\/(t**(-1)*t))) assuming t is positive.\nAnswer: t**(19753\/6552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 217056\/(-16720) + (-18)\/(-1) + 5\/2*-2?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/33 and -5\/1083.\nAnswer: 11913","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 + 0*s + 0*s)*(20 - 12 - 2*s**2 + 22).\nAnswer: -4*s**4 + 60*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a millennium in years?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -218*c**2 + 1680*c**2 + 3020*c**2 to the form u*c + q*c**2 + m and give q.\nAnswer: 4482","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 7*d**2 + 0*d - d + 3 + d**3 - 5. Let i = 0 - 7. What is the units digit of w(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1329.\nAnswer: 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}