diff --git "a/data/dm_maths/full_data/10649_11255.jsonl" "b/data/dm_maths/full_data/10649_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10649_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let p = -20 + 5. Let c be (-2)\/(-8)*24\/p. Which is smaller: -0.1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 966854473.\nAnswer: 13, 23, 569, 5683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(sqrt(32)\/sqrt(8)*-4)*-5 + (sqrt(130)\/(-1*sqrt(10)) + 4*sqrt(117))*-5.\nAnswer: -215*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/16 + 417\/2. Let s = 415 - u. What are the prime factors of s?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0071, 2, -1185, -0.8, -1\/8 in descending order.\nAnswer: 2, 0.0071, -1\/8, -0.8, -1185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-3)*(-1 + 1). Let q be 2 + (-8)\/6 - 0. Which is the nearest to m? (a) -1 (b) -0.2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-7) + (-80)\/56 + 0?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*g = -3. Suppose 0 = -4*v + g*j + 186, -j - 3 = 2*v - 101. Is v a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p - 11. Determine x(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*t - 5*z, -2 = -11180*t + 11178*t - 4*z for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 32, 60, 98, 146?\nAnswer: 204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -345d1 (base 14) to base 9.\nAnswer: -213661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.088866 and -13.\nAnswer: 1.155258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + 4. Let o be (2 + c)*(-6)\/(-7). Let d = 22 - o. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 2*b**2 - 14*b + 7. Let l be j(-3). Solve -5*p = -l*m - 4, -7 = p - 5*m + 9 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-38) + (-43416)\/129846.\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - -1 - (-17 - -17). Suppose 2*j + 2*z - 19 = -3*j, 4*j - 8 = -n*z. Let x(i) = -i**2 + 5*i + 6. What is x(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 22\/121 + 2\/(-11). Solve 0 = 2*d - 2 - x for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 9, 4, -4, 0, 5 in decreasing order.\nAnswer: 9, 5, 4, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 12.48836 days?\nAnswer: 1078994304000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -20*a**3 + a**2 - a - 1. Let f be t(-1). Suppose -3*r = -5*c + 43, -181*r + 5*c - 36 = -185*r. Put r, -4, -5, f in decreasing order.\nAnswer: f, r, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3791253, 15165016, 34121291, 60660078, 94781377, 136485188?\n\"Answer: 3791256*v**2 - 5*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18.1 - -31.9. Let l = x - 50. Is -2.2 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236 is divided by 50?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 737?\nAnswer: 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-81)\/(-243)*((-1)\/(-3))\/(8\/6)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13047728?\nAnswer: 2, 73, 11171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11798 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2032*l - 5 - 4062*l + 2026*l.\nAnswer: -4*l - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -228, -227, -226?\n\"Answer: b - 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6786 and 234.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -3*n - 166, 0*v = 3*v - 15. Let z(w) = -12*w - 8. Let j be z(6). Let i = n - j. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23? (a) -2\/7 (b) 349 (c) 3 (d) 35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.337 * -242.\nAnswer: 81.554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5796912 a multiple of 528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*sqrt(2592))\/(4*(sqrt(9) + (sqrt(36)\/sqrt(2))\/sqrt(2))).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 42*x = -40*x - 25, -2*n - 10 = x for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 394 is divided by 90.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, 16\/9, 1\/4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 1. Let b be l(4). Let y = b - 9. Let o(z) = 2*z - 9. Let d be o(y). Calculate the greatest common factor of 33 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 260*f**2*i**2*m**2 - 2*f**2*i*m + f**2*m - 4*f*i*m**2 - f*i*m + 2082*i**2*m**2 + 25*m - 124 wrt i.\nAnswer: 520*f**2*m**2 + 4164*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 75 - 86. Let f = 22 + i. Suppose -2*y - 3 = -f. What is the remainder when 13 is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m. Let b(f) = 41352*f + 286. Determine b(s(w)).\nAnswer: -82704*w + 286","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6262265 is divided by 1658?\nAnswer: 1657","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k + 536 = -248. What is the remainder when 32\/k - (-212)\/7 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -12*z + 1786. Let y be r(12). Which is bigger: 0 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 + 2031003022?\nAnswer: 2031003103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.377 rounded to 2 decimal places?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f - 11*f = 64. Let k = -28 + f. Suppose -d = -2*d - r + k, 0 = -5*d + 5*r + 10. Solve -3*b = -6*b + d for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25053 is divided by 87?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + x = 3, 0 = 3*j + 10*x - 9*x - 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 13, k: 5}?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnn when four letters picked without replacement from {b: 3, n: 7}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -d + 7, -3*a = 5*d - 4*d + 13. Suppose 2*y = -d*y + 20. Let b(t) = 2879*t + 5. Let w be b(y). What is w rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1637 - 18072\/11. Is -7 smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174*v**3 - 175*v**3 + 348*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from luulllullux. Give prob of sequence xl.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 11:28 PM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**4\/5 - 4*k**3\/5 - 6*k**2 - 8*k\/5 + 8 = 0. What is k?\nAnswer: -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-3) - (-3150)\/27. Suppose -4*a + 5*p + r = 0, 3*a - 2*p - 36 = 44. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of 22*f**3\/3 + 2*f**2 - 8*f. Suppose 6*r + 49 - 79 = 0. What are the prime factors of u(r)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 3 = 2*n. Let k = 19 - 11. Let a be -2 - k*n\/(-1). Solve -z = -a*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -283, -1128, -2547, -4540, -7107, -10248?\n\"Answer: -287*j**2 + 16*j - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1125379 is divided by 224.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**2 - j + 1693. Is z(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3 + 6613*j**2 - 552810*j + 365600.\nAnswer: (j - 80)*(j + 2285)*(3*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r*r*r\/r**(1\/4)*r*r)\/r)\/r**6)**(-7\/3) assuming r is positive.\nAnswer: r**(35\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 511 is divided by 60?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -p + 4*p. Suppose 3*o + 4*w = -36 + 5, -2*o - w = 19. Put o, p, -1 in decreasing order.\nAnswer: -1, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 h when three letters picked without replacement from hththjhthpjtchhthh.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 4) to base 2.\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -3420?\nAnswer: -3417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*n = 8. Let x = 2 + n. Solve x*r - 11 = 3*r - 5*z, -3*r = -z + 15 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - k - 4, -8 = -i - k + 3*k. Suppose 2*t + 106 = -4*y, -4*t = -5*y - i*t - 152. Let q be (-6 - 1)\/(4\/y). Round q to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + 4*d - 3. Let q be w(3). Suppose 2*u + 5*a = -0*u + 37, -5*a = -5*u + 5. Suppose u*z = -q - 12. Put z, -4, 0 in decreasing order.\nAnswer: 0, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express p**3 - 3*p**3 - 3*p**3 + (2*p**2 + 2*p**2 - 1 - 6*p**2)*(-p - 3*p + p) in the form i + u*p**2 + o*p + v*p**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -281 - -280. Let u be 1 + r + 4 - (-31 - -31). Solve u*h - 14 = k + 5, 3*k = 2*h - 17 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -637*g**2*m*t**3 + 2*g**2*m*t - 2*g*m + m*t**3 + 3*m*t**2 + 6*t**3 wrt g.\nAnswer: -1274*g*m*t**3 + 4*g*m*t - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 27046.31 and 0.9?\nAnswer: 27045.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9198 is divided by 29.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/238*(-3451)\/14?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3 - 5 + 2 + 5*z + 1 wrt z.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -91965803.3 and 114326.\nAnswer: -91851477.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3.055841 and 4589.\nAnswer: 4585.944159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2d3 (base 14) to base 11.\nAnswer: -485","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**(-4)))\/w)\/(w\/(w*w*w\/((w*w**(-2\/9)*w)\/w)*w))*((w\/((w*w**11*w)\/w))\/w*w)\/w**(-14) assuming w is positive.\nAnswer: w**(74\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)\/(sqrt(54)\/sqrt(6)*-3 - sqrt(9)))**2.\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24888 and 6466.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-2*sqrt(243)*6 - sqrt(243))**2 + sqrt(243) - (-2*sqrt(243)*-2 + sqrt(243))**2).\nAnswer: 9*sqrt(3) + 34992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-20))\/(6\/(-4))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-49 - 2)*((-6749)\/153 + 44)?\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113251 is divided by 28298?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) + 1)*3*6 - (-3 + (sqrt(192) - (-5*sqrt(192)*3 + sqrt(192) + sqrt(192)))))**2.\nAnswer: 1344*sqrt(3) + 3513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 5*d - 51 = 4*y, -5*y - 73 = 3*d. Let l be 7\/(y\/1672) - -2. Let c = -8369\/10 - l. Find the common denominator of 57\/7 and c.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -550 - -637. Calculate the greatest common divisor of s and 667.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (409*w**2 - 193*w - 409*w**2 - w**3)*(0*w + w**2 + 0*w).\nAnswer: -w**5 - 193*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 13*h = -9 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1669248 and 147.\nAnswer: 11684736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 328486 is divided by 2621.\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 9) in base 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p + 23. Calculate the remainder when 46 is divided by a(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23991000 rounded to the nearest 1000000?\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 312622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2951.5 - -2816.93. Let c = 134 + q. Round c to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -161, -0.4, 1.\nAnswer: -161, -0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7712 is divided by 133?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2319, -5756, -9185, -12606, -16019?\nAnswer: -19424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o**2\/4 + 168415*o\/4 + 38462153\/2 = 0. Calculate o.\nAnswer: -167957, -458","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l**3 + 115*l**2 + 380*l + 260 = 0.\nAnswer: -2, -1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38767*b**2 + 12350*b - 32 wrt b?\nAnswer: -77534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 4:17 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15194.\nAnswer: 2, 71, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 78, 81, 84, 87, 90, 93?\n\"Answer: 3*x + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95.21193 nanometers to kilometers.\nAnswer: 0.00000000009521193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8.6, -3720, 1\/21, 2, -1 in decreasing order.\nAnswer: 2, 1\/21, -1, -8.6, -3720","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - 124\/10 - 6\/(-15). Let i(r) = -r**3 - 10*r**2 - 11*r - 1. Give i(s).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250422 is divided by 4391.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 437, -4, -3 in descending order.\nAnswer: 437, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + j**2 - 34*j - 9. Give l(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + 3)*1 + -1. Suppose r*s + 28 = -2*s. What is the lowest common multiple of 16 and (12\/s)\/(1\/(-21))?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3434 times 81.723\nAnswer: 280636.782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 72, 2, -12, 2\/13, -5 in decreasing order.\nAnswer: 72, 2, 2\/13, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 11 + 5)*(-34*h**2 + 59*h**2 - 31*h**2 - 5*h) as r + w*h + m*h**2 and give m.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 4:02 AM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q - 8. Let g be u(-6). Let p = -1067 + 1070. Sort g, 5, -5, p in decreasing order.\nAnswer: 5, g, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -24*o**2 + 527*o - 2638. What is c(5)?\nAnswer: -603","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 6:38 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 3*h + 29646 = 0, 39592 = 4*m + 17*h - 21*h. Is m a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.7491081 centuries?\nAnswer: 898.92972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 6 + -4 + 27 + -3 + 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 81214.54ml in litres?\nAnswer: 81.21454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 3*i + 2. Let r(z) = -3*z**3 + z**2 - 7*z - 5. Give -5*f(c) - 2*r(c).\nAnswer: c**3 - 2*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 + 0. Let k = 0.2 + -0.7. Which is the closest to h? (a) 3 (b) k (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -1\/4, 36, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16 - 75?\nAnswer: -5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uguyyhynguu. Give prob of picking 1 n, 1 y, and 1 u.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.8, -2\/17, 19.39, 1\/5?\nAnswer: 19.39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2927.041 millennia in decades?\nAnswer: 292704.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llkc when four letters picked without replacement from {c: 1, s: 4, l: 2, k: 3, g: 1, w: 1}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 9:29 PM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 7*s**3 - 12*s**2 - 64*s - 155. Give p(-4).\nAnswer: -539","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1112 is divided by 224\/(-84)*957\/(-44).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -35\/17 < 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-3)*d**(-3))**(1\/8))**(2\/3) assuming d is positive.\nAnswer: 1\/sqrt(d)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-39)\/15 + 3)\/((-13)\/(-18330)) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3*v + 304 + 29 = 0, v = -4*u + 449. Suppose 0 = -8*j + 15*j - u. Solve -4*g - j = 0, -4*b - 5*g + 0*g - 36 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cdcccddxxdccdcccdc. Give prob of sequence cx.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -48*a*k*v**3 - 3*a*k*v**2 + 2*a + 7*k - 6*v**3 wrt a.\nAnswer: -48*k*v**3 - 3*k*v**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 8)\/9 - (-4)\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4398794?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 8 * 0.24\nAnswer: 1.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 129 and 642377?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 1:24 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.2 in -2\/9, -5, -11356?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(16) - sqrt(16)*2*-2)\/(sqrt(256) + sqrt(256)*1))\/(sqrt(162) + sqrt(162) + (1*sqrt(162) - sqrt(162)) + sqrt(16)\/(2*sqrt(8))).\nAnswer: 5*sqrt(2)\/296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -480*s + 2 - s**2 + 491*s + 4. Let v(g) = -g**2 + 9*g + 7. Let h(y) = -6*j(y) + 7*v(y). What is h(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/3 of a week in hours?\nAnswer: 4312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 e, and 1 p when four letters picked without replacement from oinepippninpooopon.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4223736.\nAnswer: 2, 3, 11, 5333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jhh when three letters picked without replacement from {j: 10, y: 5, h: 4}?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -499*m = 8750 + 28176 for m.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 89322.94 to the nearest one thousand.\nAnswer: 89000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 9*o**2 + 8*o. Let c(l) = -4*l**2 - 4*l. Calculate -6*a(y) - 14*c(y).\nAnswer: 2*y**2 + 8*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -123 + 61. Let c = 62 + s. Solve -3*p - 2*p + 25 = c for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -775, -771, -767?\n\"Answer: 4*a - 779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 17. Let k = x + -7. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -14\/454137 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (40\/(-28))\/((-6)\/56*684\/(-855))\nAnswer: -50\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0010498 rounded to 4 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1999473, 2, 0, 15 in increasing order.\nAnswer: -1999473, 0, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rsrkryysyb. What is prob of picking 3 r?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6158 + 6215. Are 98 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 39, 111, 253, 489, 843?\nAnswer: 1339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 1\/1)\/3. Solve -2*q = -t*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*v - 3*v + 4*v)*(-5*v + 2*v + 5*v) + (2 - 2 - v**2)*(9 + 12 - 3) as z*v**2 + i + x*v and give z.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o + 0*o + 6*o - 2*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**2 + 2*a - a**2 + a**2)*(-4 + 4 + 17*a**3).\nAnswer: 51*a**5 + 34*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 70256 + -48037. What are the prime factors of s?\nAnswer: 17, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163296 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -115 - -117. Suppose -1 = 3*x - 10. Solve -4 = g*z - x*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 + 0*a + 0*a)*(3*a + a - 2*a) - 877*a - 878*a + 1744*a + a**3 + 6*a**2 + 4*a**3 - 6*a**2.\nAnswer: 7*a**3 - 11*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6653992 or -6653993?\nAnswer: -6653993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -598*z = 655*z + 155*z - 107008 for z.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-15)*2055\/(-411)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -15 + 21 + -33 + -10 + -93.\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 10*t**2 + t - 5. Let n be w(10). Let q be 1\/(n\/4 + -1). Solve i + 4*a - 15 = 0, q*i + 53 = 4*a + 13 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 3*q**2 + 732*q + 1452 = 0.\nAnswer: -242, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1715)*-4 + sqrt(1715) - sqrt(1715) - sqrt(1715))*5)\/(1*sqrt(720)*6).\nAnswer: -175*sqrt(7)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17213698877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 4*p = -3 - 9, 0 = -3*c - p - 1. Do -141 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1347172043?\nAnswer: 7, 27493307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -3, -2.\nAnswer: -3, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((15\/27)\/(-1))\/((-175)\/105)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8.5 + -1.5. What is the second smallest value in x, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 3\/2, 0, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39 + 72. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.19322 - 0.01222. Let l = k - -0.119. Let o = l - 5. Round o to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4516, -9032, -13548, -18064?\n\"Answer: -4516*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 490*r + 559*r + 547*r - 2143*r + 546*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gyyqqywqyygygqu. What is prob of picking 1 q and 1 g?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -53411 + 5?\nAnswer: -53403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r*(r\/(r\/(r\/(r**(4\/7)*r))))\/r*r))\/r)\/r*r*r**(-47)*r)\/(r**(-9\/5)*r**(-6\/5)) assuming r is positive.\nAnswer: r**(-304\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3044 is divided by 87?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 5*a + 4*f, 0 = -4*a - 45*f + 49*f - 28 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -d**6\/60 - d**5\/20 - d**2\/2 - 4. Let g(o) be the second derivative of u(o). Find the third derivative of g(t) wrt t.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 23 + 11 = 0. Find the first derivative of -58*s**q - 982 + 153*s**2 + 1127 wrt s.\nAnswer: 190*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12474 divided by -6237\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - t - 1. Let k be j(-2). Let b = k + 8. Suppose b*g - 80 = g. Is g a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 885 + -884.999998635. What is n rounded to 7 decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nennvvninnsvnaeva. What is prob of picking 1 i and 1 e?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -212 - -216. Let u = 21 - 15. Let p = 4 - u. What is the biggest value in 5, y, p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of 41*n**6\/15 - 1051*n**4\/12 - 4*n - 66. What is the third derivative of q(a) wrt a?\nAnswer: 1968*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.22 and 0.5.\nAnswer: 0.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1000 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b + 1. Let j be u(-1). Solve j = -s - 0 - 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9324 - -9325. What is the closest to l in -10, 1\/31, 5?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b\/(b*b**0\/b)*b))*b)**(2\/11)\/(((b\/(b**(-1\/2)\/b)*b)\/b)\/b)**(-2\/63) assuming b is positive.\nAnswer: b**(137\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 1286 = 2*j, 4*z + j - 1289 = -2*j. Suppose -3*w + 2*f = -3*f - z, -5*w + 488 = 3*f. Calculate the greatest common factor of w and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of 7*l**5\/20 - l**3\/6 - l**2. Calculate the remainder when 59 is divided by b(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 + -0.128. Let w = -0.103 + -1.925. Let r = w - i. Which is the smallest value? (a) -2\/9 (b) -1\/8 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-132)\/(-550)*(14\/42)\/((-4)\/30).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h - 4. Suppose 4*a + x = -0*x - 29, -3*a = 2*x + 28. Let s be n(a). Let z(g) = g**2 - g + 1. Calculate z(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 53 - 12 + n + 36 + 2 - 1 as q*n + j and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -10 + 14 + (-3 - -1). Suppose -26 = -h*a + w, 5*a = -2*w + 5*w + 66. Calculate the lowest common multiple of a and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*4*sqrt(130))\/(sqrt(250) + sqrt(250) + (sqrt(250) - (sqrt(250) + -4*sqrt(250)))).\nAnswer: -4*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -146 or -585\/4?\nAnswer: -146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 - 27. Let z be -6*70\/165 + g. Let n = 169 + -168. Which is the closest to n? (a) z (b) -1 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(-6)*24\/60. Let t**3 + 1\/3*t**4 + 0 + k*t + t**2 = 0. What is t?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3125, -5610, -8093, -10574?\n\"Answer: r**2 - 2488*r - 638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (33 + 1038*p - 33 - 375*p)*(-7*p - 2 + 2)*(3*p - 5*p + 0*p) to the form j*p**2 + d*p + l + m*p**3 and give m.\nAnswer: 9282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 242.0472 months in decades?\nAnswer: 2.01706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 5 in decreasing order.\nAnswer: 5, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 10*a - 11. Let v(c) = 7*c**3 + 1. Let f = 19 - 18. Let q be v(f). What is w(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9910 to the nearest 100.\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1605637 - -5522\nAnswer: -1600115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s**2 + s - 1. Suppose -5*c - 1 = -21. Suppose -c*a + 5 = a. Give v(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 468, 3, 1, -1 in descending order.\nAnswer: 468, 3, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 46 (base 11) to base 8\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 228624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {c: 1, j: 11, g: 8}?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*q - 149 - 183 - q**3 + 694 - q**4 + 9*q**2 - 182 - 182 in the form z*q**4 + j*q**2 + h + p*q**3 + c*q and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 360, -2019, -2 in ascending order.\nAnswer: -2019, -2, 360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -426 or -427?\nAnswer: -426","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108184*o - 108041*o = 4108 + 7378 + 1098 for o.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -11*r + 1. Suppose 0*d - 2*d + 5*s = -25, 0 = r*d + 4*s + 2. Solve -2*f = -d*u + 9, -5*f + 3*u - 7*u + 27 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.36 in 0.2, 2, 2\/15, -4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 5*o - 43. Calculate the remainder when o is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + 7*a - 6. Let l be f(5). Suppose -k - l*v + 147 = 0, 5*k - v = 4*v + 785. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 divided by 70634?\nAnswer: -16\/35317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (9 - (-1 + 8)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 5:07 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*z**4 - 630*z**3 - 620*z**2 + 630*z + 625 = 0. What is z?\nAnswer: -125, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q - 2. Let y be w(-4). Suppose -3*z = -y*z. Let f = 2 + z. Solve -f*b = 12 - 2 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 - 8e?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 194 and 97873?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3621123 a multiple of 711?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b = -12*b - 18. Solve -c + 4*c = b for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1377800 to the nearest 10000.\nAnswer: 1380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -5*c - 8*c. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a millimeter in micrometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 - 46 = -2*c. Let z = c + -44. What is the common denominator of -20\/7 and (z\/20 + 6\/(-10))*12?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5337192271?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 313*s - 448. What is the smallest common multiple of v(5) and 1?\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*i**2 - 29 + 29 + 3*i**3 wrt i?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 249937351 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 2437525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24141145013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h**(-4\/9)\/h))**(-6\/11) assuming h is positive.\nAnswer: h**(-62\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274 = 19*h - 137 - 118 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 + 0)*(-14)\/19600*-25*4?\nAnswer: -11\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 5:07 AM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 815 + -551. Let j = 387 - b. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 131 + 14. Let w be (50\/4)\/(21\/378). Suppose 4*a = -4, 2*r - 9*a - w = -12*a. What is the remainder when r is divided by p?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2471 is divided by 118?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 9*f**3 - 7*f**2 + 5*f. Let q(u) = -2*u + 1. Let h be q(-2). Let w be (1 + -1 + 2)*-1. Let x(n) = 4*n**3 - 3*n**2 + 2*n. Give h*x(o) + w*y(o).\nAnswer: 2*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2257*j + 4 = -2255*j. Suppose -3\/4*w**j - 3*w + 3 + 3\/4*w**3 = 0. Calculate w.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 3*o + 9, -3*w + o = -2*o + 15. Sort w, -2, 5 in increasing order.\nAnswer: -2, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kubcb. Give prob of sequence ukc.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 370586.\nAnswer: 2, 127, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 1:06 PM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 1884 + 419. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3 = -3*p. Let b(g) = 2*g**2. Let i(h) = -h**2. Let z(n) = p*b(n) + 5*i(n). Let y(m) = 6*m - 4*m - m. Calculate z(y(f)).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 61 + (12 - 33) + -20?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-162)\/39 - -3) + 1. Suppose 0 = -3*f + 6, -3*q = -0*q - 5*f + 22. What is the closest to 0.8 in c, 1, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/((u*(u\/(u\/(u**15*u)))\/u)\/u))\/u)\/u)\/u**(-3))**(-12) assuming u is positive.\nAnswer: u**156","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -659 - -658. What is the smallest value in -2\/7, -1\/9, -15, u?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 7*q = -51, 0 = 2*p + 2*q - 8 + 10. Let i = -216 + 2810\/13. What is the second smallest value in -3, p, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 2)\/((-14)\/42). Let s(v) = 10*v**2 - 7*v - 29. Calculate the lowest common multiple of s(h) and 10.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -13*x**2 + 6*x + 1. Let p(c) = 63*c**2 - 33*c - 17. Let h(i) = 5*o(i) + p(i). Determine h(-3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3385\/1128 - 47\/24. Calculate the common denominator of c and 20\/3.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirteen fifths of a micrometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - 18. Which is the third biggest value? (a) m (b) 4 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -30.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 183755 and 213070.\nAnswer: 54758990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 85*i - 176. Let f(m) = -m + 4. Suppose -5*s - n = n - 22, 4*n = 4*s - 40. Let a(v) = s*f(v) + k(v). What is the derivative of a(p) wrt p?\nAnswer: 79","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1684 is divided by 313?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - x - 22, 2*c + 2*x + 4 = 10. Suppose 3*s + 8 + 7 = -5*f, s + c = -4*f. Suppose 3*v = f, -4*v = 2*g + 2*g - 20. Put g, -5, 3 in ascending order.\nAnswer: -5, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*b = -13, -3*v - 4*b = 2*v - 27. Suppose 0 = v*c - 879 - 3. Calculate the greatest common divisor of c and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1718 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -13*m**3 - 21*m**2 - 71*m + 18. Give a(-4).\nAnswer: 798","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 727034920 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -r**6\/6 + 28*r**4\/3 - 1523*r**3\/6 - 6*r - 7. What is the second derivative of j(z) wrt z?\nAnswer: -60*z**2 + 224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**19)**(1\/22) assuming s is positive.\nAnswer: s**(-9\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 8:04 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 551 is divided by 19?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*v + 7*v - 7*v + 10*v in the form y + k*v and give k.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 87419 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of 0*n**2 - 5\/3*n**3 + 23\/6*n**4 + 140*n + 0. Find the second derivative of u(w) wrt w.\nAnswer: 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t - 1. Let b(i) = 5*i**2 - 6 + 6*i + 2*i**2 - 5*i**2 - 3*i**2. Let m(x) = -b(x) + 6*j(x). What is m(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.59 minus 10.76?\nAnswer: -13.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -117032, -117019, -116982, -116909, -116788, -116607, -116354, -116017?\n\"Answer: 2*f**3 - f - 117033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -63 - -67. Suppose 0 = -z + 2 + 1. Solve 0*u - z*w + 12 = -3*u, o*w = 20 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i - 4*i + 3*i)*(-5*i + 4*i - 2*i).\nAnswer: 15*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*j - 1158 = -2476 - 1374 - 1214 for j.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5080000 rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*z, 3*d = 4*d + z - 169. Suppose -1833 = -9*f - d. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 40 = -2*j. Let l(o) = o**3 + 6*o**2 - 19*o - 19. Let s be l(j). What is the highest common divisor of 15 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -49*m**3*n**2 - m**3*n + 21*m**2*n - m*n**2 - m*n wrt m?\nAnswer: -294*n**2 - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 3*w + 8. Let p be b(-6). What is the tens digit of 8\/20 - 456\/p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3184 and -133133544.\nAnswer: -133136728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 8. Is 5 a factor of (z\/4)\/(4\/(-40))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-3\/5))**49*x**(1\/7)*x*x*x**(2\/7))**(-26) assuming x is positive.\nAnswer: x**(-20046\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -1\/16, 31042\/173 in descending order.\nAnswer: 31042\/173, -1\/16, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 9 - 3)*(-m**2 - 4*m**2 + 2*m**2) - 2*m - 2*m**2 + 2*m + (2*m + 4*m - 5*m)*(2*m - 3 + 3) + 2*m**2 - 3*m**2 + 0*m**2 + 3*m - m**2 - 3*m.\nAnswer: 28*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*z**2 - 88*z**2 - 46*z + 39*z**2.\nAnswer: -2*z**2 - 46*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d = 9*d - 4. What is the common denominator of 3 - (d - (-482)\/36) and -85\/14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7886.25 - -7886. Which is the fourth smallest value? (a) -2\/3 (b) h (c) 0.1 (d) 0.5 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -96\/7 - -1611\/119. Which is greater: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 714 and 41582?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003497904 rounded to 5 dps?\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2552, -5093, -7634, -10175?\nAnswer: -12716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -25. Suppose -2*v + 5*k = -6*v - 13, -o*k - 9 = 2*v. Solve v*b + 3 = -0*b - 3*y, -y - 2 = 2*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 8*f**2 - 7*f. Let u be o(7). Let j = u + 6. Suppose -6*c + 64 = -2*c. What is the remainder when c is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 15 and -845.03.\nAnswer: -830.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1337*d**2 + 1079*d**2 - 658*d**2.\nAnswer: 1758*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - h - 4. Let b be y(5). Let q = -21 - -61. Calculate the greatest common factor of q and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-2))\/(1\/6). Let y be f*-11*2\/6. Let p = -8 - y. Is p a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000081971808 rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 132, 298, 496, 726?\nAnswer: 988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -88 - (-47 + 119)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5*-31732939\nAnswer: -158664695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 368285189 by -19.\nAnswer: -19383431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - 3*p - 11. Let v be y(8). Let g = -4 + v. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 143844691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 647328412.\nAnswer: 2, 59, 2742917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of h**4\/12 - h**3\/3 - 12*h**2 + 102*h - 1. Factor r(a).\nAnswer: (a - 6)*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + o - 2144 = 0, 9*o - 7*o = -4*r + 8574. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 67*a**2 - 2. Let r(f) = 18*f. Calculate l(r(u)).\nAnswer: 21708*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.118 * -395.\nAnswer: 46.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3*o**2 - 33*o**3 - 11 - 28 + 3*o + 8. Let w(s) = 67*s**3 - 5*s**2 - 5*s + 63. Let n(x) = -5*j(x) - 3*w(x). Find the first derivative of n(f) wrt f.\nAnswer: -108*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 266 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a year?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -347, -325, -273, -179, -31, 183, 475, 857?\n\"Answer: 2*h**3 + 3*h**2 - h - 351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(4\/7)*d)**50*((d\/(d**9\/d))\/d)**25 assuming d is positive.\nAnswer: d**(-150\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/42)\/((-10)\/(-28)).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 + 4)*(-2621*h - 2273*h + 1041*h) to p + i*h and give i.\nAnswer: -19265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*p**4\/10 + 8911*p**3\/10 + 17428*p**2\/5 - 32762*p\/5 - 7952 = 0 for p.\nAnswer: -5, -8\/9, 2, 994","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w - 10*w + 3*w + w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2686, -5317, -7948, -10579, -13210?\nAnswer: -15841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -11*a**3\/2 - a**2 + 2*a. Let w be u(-2). Let p be 2\/5 + w\/(-110). What is the nearest to 0.1 in -0.2, p, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 5 in descending order.\nAnswer: 5, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*r**2 + 7*r**2 + 17*r**2)*((-1 + 2 + 1)*(1 + 0 + 0) + 2 - 4 + 4 + (3 - 5 + 1)*(2 + 0 - 6)).\nAnswer: 248*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -l**5\/5 + l**4 - 2*l**3\/3 - 2*l**2 + 3*l + 2. Factor p(k).\nAnswer: -(k - 3)*(k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 261, 599, 937, 1275?\nAnswer: 1613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 24 = -4*q, -2*q - 4 - 2 = 0. Suppose 0 = 5*h - 0*z - 2*z - 44, 11 = 2*h - l*z. Is 5 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/2)\/(1\/(-6)). Suppose -9*z + 47*z = 684. Let l = z - a. What is the greatest common divisor of l and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 3*x - 12 = 0, -o + 6 = -46*x + 54*x for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 4*c**2 + c + 3. Let l = 52 - 55. Let z be y(l). What is the second derivative of 3*a + 11*a - 5*a**3 - z*a**3 wrt a?\nAnswer: -246*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**8*l**(12\/7)*(l\/(l\/l**12))**(3\/23) assuming l is positive.\nAnswer: l**(-599\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of 19\/20*u**5 + 0 + 0*u**2 + 0*u**4 - 4\/3*u**3 - 32*u. Find the second derivative of i(v) wrt v.\nAnswer: 114*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 1281 = -n, -4*n - 3*r + 4675 = -394. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 + -46 + 131 - 62?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -413, -6, 754 in increasing order.\nAnswer: -413, -6, -5, -1, 754","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6904.6434ns in hours?\nAnswer: 0.0000000019179565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fwwssuwsqf. What is prob of sequence fquw?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104170789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 + 498.\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3764.79 seconds in milliseconds?\nAnswer: 3764790","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 30901 and -3.6.\nAnswer: -111243.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-3*sqrt(378) - sqrt(378))\/sqrt(9))\/(-3*(sqrt(600)*3 + sqrt(600))).\nAnswer: 7*sqrt(7)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112749a (base 12) to base 15.\nAnswer: 44e81d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 128036, 256071, 384106?\n\"Answer: 128035*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 63343511 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90.91255 minutes to milliseconds.\nAnswer: 5454753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 PM and 2:42 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*6*sqrt(26))\/((sqrt(24) - sqrt(3456))\/sqrt(12)))**2.\nAnswer: 4212\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -317.995 - 0.005. Let h = b + 318.00000545. Round h to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -43395, -194?\nAnswer: -194","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 607402800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/56 and -4\/63?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 2. Suppose 5*m = -2*s - s - 21, 0 = -4*m - s - 14. Let r be 0 + (-88)\/(-28) + m. What is the second biggest value in l, r, 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*2\/3*-3. Suppose -l - 2 = -4*k. Is k\/(1 + 0)*115 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (102\/(-204))\/(14\/8)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*j**2*q**3 + 427*j**2*q - 10*j*q**3 + 2*q**2 wrt q.\nAnswer: 138*j**2 - 60*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 2*g**2 + 1. Let c = -8 + 10. Let i be k(c). Suppose 0 = -5*o - 4 - i. What is the closest to -0.1 in -3\/11, o, 1?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 283 - 557\/2. Factor -3 - 3\/2*w**2 - a*w.\nAnswer: -3*(w + 1)*(w + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 351, 1209, 2879, 5631, 9735?\nAnswer: 15461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3074666*0.1\nAnswer: -307466.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1457.42 to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 5:41 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2406 is divided by 204?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(832) + (sqrt(832) - (-1 + (sqrt(832) - (sqrt(832) + 1*sqrt(832) - sqrt(832))))**2) + sqrt(832).\nAnswer: -1 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -530172 by -4.\nAnswer: 132543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*u + 17 - 79 - 18 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 6*j**2 - j + 8. Suppose 5*m = f + 7 - 5, 5*m - 4*f - 8 = 0. Let l be (2 - 4 - m)*2. Let q be 64\/11 + l\/(-22). Give y(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4936565 or -4936567?\nAnswer: -4936565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b - 5. Let g be d(-5). Solve g = -5*a - 1 - 14 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1057 (base 9) to base 16\nAnswer: 30d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (68\/51)\/(2 - 14\/9). Let l be (7 - x) + -2 + 0. Solve -5*p = -l - 18 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12074129 or -12074127?\nAnswer: -12074127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 v, 1 n, and 1 s when four letters picked without replacement from sngvgbsssvssbss?\nAnswer: 32\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (378\/75)\/(6\/(-140)). Let p = j - -118. Which is smaller: -0.04 or p?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 40989 and 470660336.\nAnswer: 470701325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 31*z + 34. Let m(c) = 14*c + 18. Give -5*m(n) + 3*t(n).\nAnswer: 23*n + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 60*d**3 + 18*d + 481 wrt d?\nAnswer: 180*d**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/7, -4.02, -42, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26989033 + -9489043. Let l = 6 + -6. Suppose i = -5*q - 2*r, l = 2*q - 5*q - 2*r - 10499990. What is q rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/32485 and 75\/926.\nAnswer: 30081110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/2880 and -77\/701760?\nAnswer: 2105280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -130 + 110 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*f**3 + 112*f**3 - 45*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -r**2\/6 - 2258*r\/3 - 2549282\/3 = 0.\nAnswer: -2258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*u - 5. Suppose 4465*c = 4469*c - 2*b - 28, -4*c - b + 16 = 0. Solve -u*a + 3*f = -15, 5*a - 6 = -c*f + 4 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7\/(-2) - 4\/(-8). Let h(i) = -19*i**3 - 16*i**2 - 37*i - 1. Let u(b) = 7*b**3 + 6*b**2 + 13*b. Let c(t) = 4*h(t) + 11*u(t). Calculate c(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -284 - -160. Suppose -344*h = -330*h + 3486. Let t = i - h. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4681 - -21.6419. Let h = -22 + p. Let y = 5.91 - h. Round y to zero dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*p - 15*p + 6615. Suppose 2*v + 3*o = 727, -5*v + 2*o + p + 844 = 0. List the prime factors of v.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*n**2 - 745*n - 1510 = 0. What is n?\nAnswer: -2, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -138.5 - 0.5. Let h = u - -131.7. Round h to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-880)\/(-14))\/8 + 5\/35\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l\/(l\/(l*(l*((l*l**(1\/5))\/l)\/l)\/l*l)))\/l*l))\/l)\/l**(1\/6) assuming l is positive.\nAnswer: l**(-41\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*l**3 - 19*l**3 + l + 42*l**3 + 3*l**2 to w*l + y*l**2 + d*l**3 + i and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.04 to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 5 + 2 + 2148*t**2.\nAnswer: 2148*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, -1\/21, -1\/8, 2\/761?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b - 36. Let m(j) = -9. Give 9*m(g) - 2*o(g).\nAnswer: 2*g - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 2 - 14 = 3*g - 5*a, 5*g - 111 = -4*a - 71 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 70\/(-21) - (-8)\/(-12). Let r = -1 - -2. Let v = 2 + r. Sort n, 2, v in decreasing order.\nAnswer: v, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 135 - ((-4 - -1) + 7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 + 135*h.\nAnswer: -3*h*(h - 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -j, -3*j + j = -2*l. Let c(q) = 3*q - 1. Let p(w) = 4*w - 2. Suppose -6*i = -27 + 9. What is i*c(h) + l*p(h)?\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135347661.\nAnswer: 3, 199, 75571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 19 = 2*h + 17, 1 = 3*d + 2*h for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 14101989 divided by 11\nAnswer: 1281999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 2*c**2 + 3*c + 3. Give g(3).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 42*d - 8. Suppose b + 15 = -2*b. Let z(r) = -120*r + 1. Let m(o) = -166*o - 1. Let u(y) = 2*m(y) - 3*z(y). What is b*w(l) + 8*u(l)?\nAnswer: 14*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-3 + 13) - -2 - 20 - -7.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*270\/72*2\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(1\/(5 - (-48)\/(-9))). Let x = -73\/8 - -1663\/184. Which is smaller: x or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 362587870 a multiple of 3335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**6*j**(3\/5)\/j)\/(((j*j\/j**(1\/12))\/j)\/(j*j**(-2\/25)\/j)) assuming j is positive.\nAnswer: j**(1381\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*l**(2\/19)))\/l*l)\/l*l*l**(-7))**(-4)\/((l\/((l*l\/l**(1\/4)*l*l)\/l))**(1\/20)\/(l*l*l**(-2\/3)*l)**(-12\/13)) assuming l is positive.\nAnswer: l**(520769\/19760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/2 - (3 + -7). Let t(q) = 2*q**2 + 7*q + 4. Let y be t(-4). Suppose v + h = u, v - 2*u + y = 1. Put 3, -2, v in decreasing order.\nAnswer: 3, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 256225056?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**2 + j - 1. Let b be (-16)\/3*42\/(-56). Let l(n) = 3*n**2 + 1. Determine b*m(i) + 3*l(i).\nAnswer: i**2 + 4*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2039 to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6 minus 0.089?\nAnswer: -1.689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 7:33 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - -1. Let r = 5 - 3. Suppose r = h*l - 16. Solve 4*y - 3 = m - l*m, 0 = -3*m + 3*y + 18 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 6*b + 2*b)*(-b**2 + b**2 - 2*b**2)*(-5 - 9 + 1).\nAnswer: -26*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - 4*g + 2. Let r = -2 - 5. Let a be 2 + (0 - -2) + 6. Let n = r + a. What is t(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -501.6 - -378. Let h = q + 140. Let x = h + -16.400398. What is x rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-3 + sqrt(52)\/sqrt(4))*-1)**2.\nAnswer: -150*sqrt(13) + 550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1129.24 + 1123. Round m to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 82*z**3 + 36 - 7*z + z**4 - 38 - 80*z**3 + (-2*z**2 - 3*z**2 + 4*z**2)*(-19*z**2 - 11*z**2 - z**2).\nAnswer: 32*z**4 + 2*z**3 - 7*z - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(12\/(-1 - 1) + 4). Let z = -5.1 - -5. What is the closest to z in 2\/7, -4\/9, v?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 4*z - 2. Let w(y) = -2 - 5*y + 3 + 2. Let l = 199 - 197. Let k(u) = l*w(u) + 3*p(u). Let t(s) = -16*s**2. Give t(k(g)).\nAnswer: -64*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.9653355 to three dps.\nAnswer: 8.965","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 12*b + 38. What are the prime factors of c(6)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from orcrmrxcmrmcmrxrcxr. What is prob of sequence xr?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -4, 34*w + 758 = x + 35*w. Calculate the remainder when x is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -39.6 and 77083.\nAnswer: 77043.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 2 - (11 + -10 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2149\/4306 - -2\/2153. Factor -13\/2*c**2 - 6*c - p*c**4 - 2 - 3*c**3.\nAnswer: -(c + 1)**2*(c + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**2 - 2086353*h + 166927440 = 0. Calculate h.\nAnswer: -695531, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-6)*-4*6\/(-8)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 0*z + 0*z + 0*z + z. Let w(x) = 16*x**2 + 2*x. Let v(a) = -33*a**2 - 5*a. Let c(r) = 2*v(r) + 5*w(r). Calculate c(o(q)).\nAnswer: 14*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 - -2. Is 1\/(-3) + 4312\/q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-30)\/4)\/((-6)\/(-8)). Let z be (11\/c + 1)*6. Let r be (-1)\/6 - 60\/72. What is the second biggest value in 0.2, r, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + 3*2\/3. Suppose 0 = -2*r + k*q + 60, -4*q + 58 = 2*r - 2. Calculate the highest common factor of 20 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10110 (base 2) to base 4\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38 - -47. Suppose -7*q + 4*q + z = 0, -a - 4*q + 14 = 0. Calculate the remainder when 8 is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - 54 - (-1464 - -1403)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19 - -1.949.\nAnswer: -17.051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1040651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111001 + -101011?\nAnswer: -1100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25 + -521?\nAnswer: -452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 188, 430, 770, 1208, 1744, 2378?\nAnswer: 3110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 44844, 85863, 126882, 167901, 208920?\n\"Answer: 41019*b + 3825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + 11. Calculate the remainder when 65 is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -57, -46, 79, 378, 911, 1738, 2919, 4514?\n\"Answer: 10*i**3 - 3*i**2 - 50*i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**3\/13 - 42*z**2\/13 - 44*z\/13 = 0. Calculate z.\nAnswer: -1, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/10 of a microsecond?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -115 + 144. Solve 4*a - d = 2*x - a, 3*a - 9 = -3*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 61*k + 1797. Calculate t(-23).\nAnswer: 394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -44a8d8 - -4?\nAnswer: -44a8d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3369*i**2 + 14*i + 36. What is the thousands digit of v(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71817 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -5 + 4 + 6 - 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 9*o - 8. Give f(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 141 - 141. Suppose 5*y - 10*y = v. Sort -2, 34, y in descending order.\nAnswer: 34, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/30 and -7\/45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 h when three letters picked without replacement from yhypyyyyyyyypyhyp?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4*i**2 - 4*i + 11838*i**3 - i + 77050*i**3 + 3. Let l be t(3). Suppose 0*g - 2*g + l = 0. Round g to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1004422984?\nAnswer: 2, 6841, 18353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 2*b. Let d = b + -1. Suppose 0 = 5*n - 4*n. What is the third smallest value in d, n, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**2 + 3*l**2 - l**2 + (0 + 0 + 2*l)*(-4*l + 4 - 4) + (-2 + 3 + 1)*(-3*l**2 + 18*l**2 - 2*l**2).\nAnswer: 17*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -0.1, -4, 3984, 1\/699?\nAnswer: 1\/699","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 2:18 PM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 227387 (base 14) to base 5.\nAnswer: 300004040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(22) - (2*sqrt(792) - sqrt(22) - sqrt(22))) + sqrt(44)\/sqrt(2)*-3))\/((sqrt(704) - (sqrt(704) - 1*2*sqrt(704)))*-2)*6.\nAnswer: -27*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in -6, -0.5, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + -2 + -2 + 92016\/24 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and -14524083?\nAnswer: 14524088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pg when two letters picked without replacement from gkxffgkgkggkkpg?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**2. Let m be y(1). Suppose m*u - 3*u = -21. What are the prime factors of u?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 2*l = -0*v - 9788, 0 = -v + 3*l + 2433. Suppose 3*n - v = 13155. What is n rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -4*p**3 + 3000*p**2 - 17876*p + 14880 = 0.\nAnswer: 1, 5, 744","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1612.\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 330\/27 + 2\/(-9). Let i be ((-36)\/14)\/(b\/(-112)). Let c = i - 13. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of 4*x**4 - 2*x**3\/3 - x**2\/2 - 2. Suppose 768*z = -139*z - 907. What is d(z)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4455, 4475, 4529, 4635, 4811, 5075, 5445?\nAnswer: 5939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-20)\/(-90)*-3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -347 - -5203\/15. Let x = -11.33 + 11.03. What is the second biggest value in 1, x, m, -1\/17?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -12 - (9 - 27) - 29.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21668013?\nAnswer: 3, 17, 47207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 133580 rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/2)*m**5)**26\/((((m\/(m\/(m\/m**(-1\/10)))*m)\/m)\/(m**3*m))\/(m**0)**(-1\/52)) assuming m is positive.\nAnswer: m**(1199\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 269 or 270?\nAnswer: 270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o - 3. Let l(g) be the second derivative of -25\/2*g**2 + 46*g + 0 - 3\/2*g**3. Determine -6*l(p) + 51*q(p).\nAnswer: 3*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.33790765 to 2 dps.\nAnswer: 4.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s - 35. Let g(h) = -h - 17. Let w(a) = 4*d(a) - 9*g(a). Let l be w(-12). Suppose -u = 3 - l. Sort 2, u, 4.\nAnswer: u, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/3 or 1978644?\nAnswer: 1978644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 d when three letters picked without replacement from {e: 5, d: 2}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 485871311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*n - 4*i = 83*n + 768618, 3*n + i - 384291 = 0. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -79 (base 14) to base 8\nAnswer: -153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -408*i + 137*i - 3193*i to the form g*i + q and give g.\nAnswer: -3464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 11:17 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 11:11 PM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2543 + 2539. What is the third biggest value in 5, 35, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/80 and 53\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 56618833 to the power of 1\/2, to the nearest integer?\nAnswer: 7525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 6*f**2 + 5. Let w(j) = -17*j**2 - 14. Let y be (-4)\/14 + 158\/14. Suppose 0 = 3*v - 6, 4*p - 10*v = -8*v + 12. Give p*w(r) + y*t(r).\nAnswer: -2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1222*c**4 + 201*c**3 - 201*c**3 - 1207*c**4 + 178 + 49*c wrt c.\nAnswer: 60*c**3 + 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/21 of a week?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7831*n - 9 = 7822*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 11*g**2 + 2*g - 1. Let w be 4\/(-2) + (7 - 5). Suppose w = 3*j - 5*c + 22, -15 = 5*j - c - 3*c. What is the units digit of d(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 + 1 + 6 - -6) + -5 + 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.7, -1\/764, 2\/669?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1137686?\nAnswer: 2, 11, 51713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-7) - (-28100)\/42. Let t = -8849785039\/13005624 + -8\/541901. Let b = q + t. Calculate the common denominator of b and -67\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3434213.\nAnswer: 59, 58207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**3 + 112*b**2 - 118*b - 228 = 0. Calculate b.\nAnswer: -57, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.357476 != 188?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 230*t + 1620*t - 381*t + 1203*t in the form q*t + b and give q.\nAnswer: 2672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + k + 373 = 0. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1168, -2891, -4614, -6337?\n\"Answer: -1723*x + 555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**2 - 4*q + q + 6*q to n*q**2 + k + m*q and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 87 + -177\/2. Let t = 129 - 137. Let j = 13 + t. What is the closest to -1 in -2\/11, j, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 6*f - 140. Suppose 0 = -7*a - 0*a + f. Does 7 divide (56\/a)\/(8\/6)*6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (46 - (118 + -46)) + (0 - -10)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/3)*l*l*l**5)**(-13\/3) assuming l is positive.\nAnswer: l**(-299\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 5. Let v = -39 + 19. Let o be (v\/8)\/(2\/(-4)). Put w, -4, o in decreasing order.\nAnswer: o, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from guhhhuhhuuuuhu. What is prob of picking 1 g and 2 h?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1.4 - -21156637596866\nAnswer: 21156637596867.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of 0*m**2 - 20*m + 1\/12*m**4 - 14\/3*m**3 + 0. Find the second derivative of n(g) wrt g.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4154.8966 to 0 decimal places.\nAnswer: 4155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/15*-1)\/((-1)\/5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 j when three letters picked without replacement from ojoojjojooojjojjjjo.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3.943 and 0.15.\nAnswer: -3.793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 6*n**3 + 2*n**2 + 4*n + 9. Let g(o) = -2*o**3 - o**2 - o + 1. What is -d(w) - 2*g(w)?\nAnswer: -2*w**3 - 2*w - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11057234359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-3))\/(((-1400)\/(-180))\/14)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 679885 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**(2\/5)*y))**(-32)*(y*y**(4\/7))\/(y\/(y**(-4)\/y*y))*(y**(-6)\/y**5)**(-19) assuming y is positive.\nAnswer: y**(8763\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u**2 + 6*u - 4. Let h be v(3). Let o = h + 19. Calculate the greatest common factor of 6 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.8, 2, 79, -4\/3 in increasing order.\nAnswer: -4\/3, 0.8, 2, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + sqrt(42)\/sqrt(6) + sqrt(77)\/(sqrt(11) + sqrt(396)))*6.\nAnswer: -30 + 240*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.354 - -1.646. What is the closest to -0.1 in t, 2\/11, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -531 - -306. Let q = -797 + b. Let p = 1515 + q. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104132 (base 5) in base 11?\nAnswer: -2834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 8:09 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 523 is divided by 75?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/1464 and -19\/5976.\nAnswer: 364536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/17 and 135 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c**2. Let k(u) = -19*u + 7078. Let n(r) = -29*r + 7078. Let j(q) = 3*k(q) - 2*n(q). Give x(j(l)).\nAnswer: 3*l**2 + 42468*l + 150294252","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -8459*m**3 - 8*m + 4. Let s(r) = -125159365*r**3 - 118370*r + 59185. Calculate 59185*i(t) - 4*s(t).\nAnswer: -8455*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 31469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-312)\/(-1170)*(-1)\/2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 671*b - 2032. What is w(3)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, a: 6}. What is prob of picking 2 p?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/75 and -47\/642.\nAnswer: 16050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -5, -10, -2\/37?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in six fifths of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 35d0?\nAnswer: 35d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + -24. Let o be (-379)\/2*x*13\/26. Suppose -4*m = -5*q + o, q - 74 = -m - 0*m. List the prime factors of q.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 - 13*a - 4. Give z(-6).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/12*4)\/(12\/(-18)). Suppose p = 3*b - 1, -4*b - p = -b + z. Factor b + 5\/4*g**2 - 1\/2*g + 3\/4*g**3.\nAnswer: g*(g + 2)*(3*g - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*c**5\/9 + 31883872*c**4 - 71738792*c**3\/9 - 161412142*c**2\/9 - 16440124*c\/3 - 4483670\/9 = 0. What is c?\nAnswer: -2241835, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/(-4*sqrt(27))*-1)**2 + 5.\nAnswer: 361\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*x**3*z - 4172337*x**3 + 30*x**2*z - x**2 - 16*x*z - 26*x + 25*z + 2 wrt x.\nAnswer: -54*z - 25034022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 13) to base 10\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 39*b**2 + 20 + b**4 - 20 + (2*b**2 - 2*b**4 - 2*b**2)*(-3 + 4 - 3).\nAnswer: 5*b**4 + 39*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 5061*r - 209176. What is x(-41)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 583, 567, 553, 541, 531, 523, 517?\n\"Answer: g**2 - 19*g + 601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-18) - 80\/(-36). Suppose -2*d + 4*g - 2 = 0, 0*g - 5*g = 2*d + f. Let b = d - -3. Is b < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -b - 60, -20*b - 3*q + 1105 = 1172 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*m + 2754 = 46*m. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (125\/(9000\/108))\/((-2)\/24)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -46855391, -46855393, -46855395?\n\"Answer: -2*o - 46855389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 67010164 to the power of 1\/3, to the nearest integer?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20 - 153?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 4.031785 years?\nAnswer: 0.4031785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**2 + 462*z + 460 = 0. What is z?\nAnswer: -230, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3*r - 1. Let i(f) = f**3 + 6*f**2 + f + 13. Let c be i(-6). List the prime factors of y(c).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2308, -2309, -2310, -2311, -2312?\n\"Answer: -d - 2307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**4 - 806736*c**3 - 806745*c**2 + 1613478*c = 0. Calculate c.\nAnswer: -2, 0, 1, 268913","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99107.6 decades to months.\nAnswer: 11892912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.059 times -2?\nAnswer: -2.118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, 5\/3, -18 in decreasing order.\nAnswer: 5\/3, -0.7, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7570092 is divided by 747?\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78, -154, -228, -300, -370, -438, -504?\nAnswer: -568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -4*h**7\/105 + h**5\/60 + 7*h**2\/2 - 1. Let b(c) be the second derivative of o(c). Find the third derivative of b(r) wrt r.\nAnswer: -192*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 226 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 515941 - -1?\nAnswer: 515942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 210958924, 421917850, 632876776, 843835702, 1054794628?\nAnswer: 1265753554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, j: 5, d: 1, h: 5, v: 3}. Give prob of picking 2 u.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**3 + 5*f**2 - 3*f + 1. What is a(-4)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 836, 838, 840, 842, 844, 846?\n\"Answer: 2*u + 834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -226 + 7010?\nAnswer: 6895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5*g - 126 = -30. Solve 0 = -27*i + g*i + u + 15, 3 = -3*i - 5*u for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of 484*f**7\/7 + 4*f**3 + 21*f - 1751. Find the third derivative of i(q) wrt q.\nAnswer: 58080*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(3\/(-84)) - 12\/(-3). Let b = d - -152. Is b a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.56*1.\nAnswer: -1.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/1 + 1)\/1. Suppose -s*i + 4 = -1. Suppose -4*u - 8 = -2*k, 3*u = -6*k + k - 6. Put 3, u, i in increasing order.\nAnswer: u, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**2 - 2*h**2 - h**2 + (h**2 + 4*h**2 - 3*h**2)*(0 - 3 + 4) + 4*h**2 - 8*h**2 - 9*h**2 + 3*h**2 - h**2 - 3*h**2.\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4627434, -4627536, -4627708, -4627956, -4628286?\nAnswer: -4628704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 256\/(-2464) - 4\/22?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z. Let x(s) be the second derivative of 2*s**4\/3 - 24*s. What is p(x(f))?\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23875\/(-2292)*26\/65.\nAnswer: -25\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-1914)\/55638) + 4\/(-58)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/3)*i)**(-36)\/(i**10*i**4) assuming i is positive.\nAnswer: i**(-62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 4*o + 14 = 0, 0*j - 5*o = -5*j + 5 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a year in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 23*r + 13. List the prime factors of x(14).\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 6*w**2 - 2*w + 3. Suppose 2*v - v = 2*p - 14, 2 = v + 2*p. Let j be t(v). Solve a + 3*a = 5*l - 27, -2*a = -3*l + j for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(490)\/(sqrt(10)*2) + sqrt(49)*-2*-2)\/(sqrt(7) - sqrt(700)*-1 - sqrt(49)\/(sqrt(49)\/sqrt(7))).\nAnswer: 9*sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -609*m**4 + 35541*m**3 - 515109*m**2 + 179631*m + 14850 = 0. What is m?\nAnswer: -2\/29, 3\/7, 25, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhgghg. What is prob of sequence hhhg?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -430*m + 2*m**2 - 2*m**2 - 4 + 5*m**2 - m**3 + 427*m. Let o be (-3)\/(-6)*-2 + 5. Let l be k(o). Solve 0 = 4*h + 2 + 14, l = -3*g - h - 16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**3 - 6*j**2 + 2*j - 7. Let a be w(-5). Let s be 2\/5*(-10)\/(-2). Suppose s*v = 349 - a. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**(1\/4)*a*a)**(5\/2)*a**(-1\/4)\/a*a**(-5))**(6\/7) assuming a is positive.\nAnswer: a**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 101 - -2631?\nAnswer: 2732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -788795\nAnswer: -2\/788795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -2\/15 (c) 3\/8 (d) -227\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 73*f**3*j**2 - f**3*j + 54864*f + 91786*j**4 + 9*j wrt j?\nAnswer: 146*f**3 + 1101432*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.1, -3\/5, 85, 1\/5, -4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 437 and 621.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 n, and 1 m when three letters picked without replacement from nhhhnnnnhnhmndihihhh.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 1:17 PM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from phhphppprhhhpphhppa. Give prob of picking 1 h and 1 a.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7989 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, 1\/4, 0.2, -0.2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 771 + 443 = 3*a, -12 = 2*a. Calculate the greatest common factor of c and 7568.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, x: 7, k: 6, v: 1, f: 2}. Give prob of sequence fax.\nAnswer: 7\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of 1825*s**4\/2 + 2*s**3\/3 + 2069*s**2\/2 + 3685. Find the third derivative of v(x) wrt x.\nAnswer: 21900","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 439100.2 micrometers?\nAnswer: 43.91002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*n + 54*n - 232*n + 53*n + 55*n.\nAnswer: -15*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -o + 2*o. Does 4 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 5*w - 53, 2*c + 3*w - 31 = 4*w. Calculate the lowest common multiple of c and (6\/(-5))\/(2\/(-5)).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -10. Let i = 91.569 - 19.569. What is the biggest value in 0.2, u, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 6 - 2 = 0. Suppose -b - 2*g + 26 = q*b, 3*g = -2*b + 6. Solve -b = -a - a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + s - 17. Let o be q(0). Let j = -11 - o. What is the highest common divisor of 12 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - f + 59, -5*q - 56 = -4*f - 0*f. Let j = -10 - q. What is the third smallest value in j, 5, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, m: 3}. What is prob of picking 2 m?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + 76 + -40 - -9?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -24208.6.\nAnswer: -24208.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 267730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2*x = -2*x + 7, -3*b + x = 32. Let s(l) = l**2 + 7*l - 5. Is s(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/12)\/((-3725)\/(-1490) + (-203)\/80)?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 15 = -5*z + 133, -4*z - 3*h = -117. Does 30 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 621 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2029*z + 2029*z + 4*z**2.\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 203657 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2982 + -2968. Solve l*b - 5*b - 54 = 0 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8 and -557747.\nAnswer: 4461976","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 45*k**2 + 0*k - 1\/4*k**5 - 131\/4*k**3 + 0 - 12*k**4 = 0.\nAnswer: -45, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.83+367.61653864\nAnswer: 361.78653864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12335 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 0.54.\nAnswer: 0.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (749 - 372 + w - 20*w - 372)*(-w**4 + 3*w - 3*w).\nAnswer: 19*w**5 - 5*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 12886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 42*c - 189. Give y(5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 945, 31, -2, -5 in increasing order.\nAnswer: -5, -2, 31, 945","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 79579.6 to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 4*4*(sqrt(833) + (sqrt(833) - (0 + sqrt(833) + -2)) + sqrt(833)))**2.\nAnswer: 16576*sqrt(17) + 854361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -32*v**2 + 48. Let h(c) = -1. Let m = 41 + -23. Suppose 0 = 79*n - 76*n + m. Let s(l) = n*h(l) - q(l). Differentiate s(z) wrt z.\nAnswer: 64*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 + 12037*k + 706681. What is c(-59)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8741492\/5)\/(-2 + (-9)\/(-5)). Let v = 16981492 + m. Round v to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.1 + 2.9. Which is the third biggest value? (a) -1\/4 (b) -2\/19 (c) 2\/5 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35018 times 90?\nAnswer: -3151620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*i + 122 = 0. Let p = i - -132. Let f = -52 + p. Is f a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 93 - 43. Suppose 0*g + g = -4*p + 100, -2*p + 5*g = -f. Suppose -3*i - p + 88 = 0. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 205402\/45 - 4566. Calculate the common denominator of -13\/4 and b.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 330269578 divided by -1?\nAnswer: -330269578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3176\/7915 + 2\/1583. Which is the closest to 0.1? (a) -0.3 (b) -5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 39*s + 135*s + 6 - 1 - 91*s.\nAnswer: 83*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 73696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2320 divided by 20?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2088?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h\/((h*h*h*h**(14\/3)*h)\/h))))\/h*h\/(h\/(h*h*h**(-36)*h)))**(2\/9) assuming h is positive.\nAnswer: h**(-244\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 - -27. Is y bigger than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**2*u)**(-13\/2)*(u**(3\/8)\/u)\/u**(-5) assuming u is positive.\nAnswer: u**(-121\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5658479, 5658505, 5658547, 5658605, 5658679?\n\"Answer: 8*x**2 + 2*x + 5658469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 61 = 2*d, d + 1 - 30 = 2*r. Let h = 11 + r. Let c(v) = 2*v**2 + 3*v + 3. Calculate the remainder when c(h) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 367759862 to the nearest integer?\nAnswer: 19177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 5\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wvna when four letters picked without replacement from {s: 1, v: 4, w: 1, n: 2, a: 2}?\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 13) in base 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 47\/4 of a milligram?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -8. Which is the smallest value? (a) 1\/7 (b) -0.5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + c. Let j(s) = -2*s**2 - 9*s - 6. Let b(w) = f(w) + j(w). Let r be b(-7). Solve -7*t - r = 6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -67 - -63. Let w = 3.99 + 0.01. What is the third biggest value in -2\/9, w, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 7*l**2 + 6*l + 3. Let r(i) = -2*i - 7 + 2*i - i + 2. Let q be r(-4). Let f be q\/(-6)*3*12. Give w(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)*3*-2 - sqrt(308)\/(sqrt(21)\/sqrt(3)))\/(sqrt(180)\/(-2*sqrt(180))).\nAnswer: 28*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32 - -29. Which is greater: m or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 15 = -4*k. Suppose -k*b = -4*v + 41, -v = -2 - 2. Sort -3, b, -1.\nAnswer: b, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-12) - -6 - 2 - 3260\/720.\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 21735?\nAnswer: 239085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2729 (base 12) to base 11.\nAnswer: 3419","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 13*r**2 + 14*r + 2. Suppose 0 = 4*b + 27 + 29. Let o be h(b). Suppose -60 = -0*i - o*i. Calculate the remainder when i is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = h - 269, 4*k - 24 = h - 275. Let y be h + (44 - -5)\/7. Calculate the greatest common factor of 10 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -107, -117, -125, -125, -111, -77, -17?\n\"Answer: t**3 - 5*t**2 - 2*t - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 22*l - 12. Let g(r) = 50*r - 27. Let p(u) = 9*d(u) - 4*g(u). Let j(i) = -2*i**2 + i + 140. Give p(j(m)).\nAnswer: 4*m**2 - 2*m - 280","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (-6 - -9) - 15?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/2*g + 1\/2*g**3 + 3*g**2 + 2.\nAnswer: (g + 1)**2*(g + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 4*j - 32 = 0, 3077 - 3047 = -5*h - 5*j. Let b = -386 + 216. Is h less than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**3 - a**3 - 2*a**2 + a + 0*a**3 + 0*a**2 + a**4 to v*a**3 + m*a**2 + k*a + u + w*a**4 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2\/11, -116, 2 in increasing order.\nAnswer: -116, 0, 2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 9*h + 46. Let k be s(-5). Let q(j) = -2 + 1 + 2*j + 8*j**2 + 3*j**2. Let y be q(k). Solve -4*a + 0*a - y = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-13)*(-8 + -3504). Let l = b + -270. Sort l, 2\/3, -1\/4 in decreasing order.\nAnswer: 2\/3, l, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/444 and -2\/93.\nAnswer: 13764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 2. Suppose 0*z + 5*z = -j - 9, 0 = -4*j - i*z + 18. Let w be (2 - 2) + j + -2. Solve -2*h - 4*o - w = 8, -h - 5*o = 9 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**4 - 162856*k**3 - 1657303796*k**2 + 6641594416*k + 99477331440 = 0 for k.\nAnswer: -20359, -6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 484242*z**5 + 7*z**3 - z**2 + 8688382 wrt z.\nAnswer: 29054520*z**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4 + 0.1. Let s = 0.1 - p. Let z = s + 1.4. What is the smallest value in z, -0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-234)\/(-28)*14\/(-20) and (-142)\/(-12) - (-2 + 0).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-20)*-14*260*215\/(-16770)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162 times -11?\nAnswer: -1782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 5*u**2 + 7*u - 7. Let a(o) = -o**2 + 13*o - 7. Let c be a(7). Suppose 0 = -5*j - 3*m + 159, -j - m - c = -2*j. Let h = -27 + j. What is y(h)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 5*d**3 + 38*d**2 - 17*d + 3. Calculate the remainder when 678 is divided by v(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 55264, 55388, 55512?\n\"Answer: 124*s + 55140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, m: 4, p: 3}. Give prob of sequence ppn.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from ooooooeoooooeeoooo.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 713229198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3555 + 3527. What is the nearest to y in -21, -0.4, -4?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2597270?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/35 in 4, -1.02, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-50)\/6)\/(((-17)\/51)\/((-2)\/2))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((-2*sqrt(135)*4)\/(sqrt(12)\/sqrt(4)*1) + 4)**2)*5*6.\nAnswer: -5760*sqrt(5) + 86730","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t + t - t)*(-8 + 3 + 0)*(-5 - 1 + 1) as h*t + p and give h.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (0 - -5 - (39 - 30)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + 7\/(-2))*-1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -131.23 * -3.\nAnswer: 393.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.06, 5, 1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5272 - -7491. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by 53?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-32)\/(7 + 1) - -16. Suppose -2*g + 6*g + 5*o = 21, -g + 4*o = 0. Solve y = 4*b, -g*b = -2*s + s - 17 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-40)\/6)\/(2\/(-6)). Suppose 0*l = 4*l - u. What is the units digit of -2*(l\/2 + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 7*v + 2. Give b(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*u**3 + 12773268*u**2 + 216347068*u wrt u?\nAnswer: -54*u + 25546536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 6*x + 105. Suppose -s + x = 3*u, 3*u - 10 = 5. Let n(p) = p + 1. Let o be n(3). What is the greatest common factor of s and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 860.16 grams to tonnes.\nAnswer: 0.00086016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h\/h**(-26)))**(1\/3))**(-23\/5) assuming h is positive.\nAnswer: h**(207\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 3*v - 61, -20*v + 26 = 2*b - 22*v. Calculate the highest common divisor of b and 3058.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70 - (37 + -1) - 52.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(5\/7)*b*(b**9*b)\/b*b)**(-41)\/(b*b**(-5\/3)*b\/b**(-1\/11)*b*b\/b**(2\/13)*b**(-8\/3)) assuming b is positive.\nAnswer: b**(-1564231\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15850 and 317?\nAnswer: 15850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 213 divide 91377?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2503 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2169 is divided by 112?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1))**(1\/56)\/(y**(-1\/2)*y*y*y**1)*((y\/y**(-2\/5))\/y*y)**38\/(y\/y**(-1))**3 assuming y is positive.\nAnswer: y**(12511\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or -61229\/4?\nAnswer: -61229\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2)\/x**(2\/35)*x**(-2\/7)*x\/x**0*x)**(-5\/6) assuming x is positive.\nAnswer: x**(2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 140, 142, 144, 146?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.61812 + 36.14112. Let f = q + -0.523. Is f at least as big as -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 4*a - 2940 - 2788, 0 = -2*m - 10. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.6, -12, 0.1, 0.2, -1?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 341, 308, 271, 230, 185, 136, 83?\n\"Answer: -2*v**2 - 27*v + 370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + d**2 + d - 1. Determine w(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jff when three letters picked without replacement from fjjjfffffj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 t, and 2 s when four letters picked without replacement from {b: 1, t: 1, s: 7, p: 3, y: 2}.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 37, 3, 4, -1463, -4.\nAnswer: -1463, -5, -4, -2, 3, 4, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 400 + 279935?\nAnswer: 27a235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of -z**4\/3 + 190*z**3\/3 - 1232*z**2 - 10180*z. Factor g(t).\nAnswer: -4*(t - 88)*(t - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.1488606 rounded to one decimal place?\nAnswer: -5.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-375)\/27 - -1) + (-29)\/261\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 12. Which is the nearest to 2? (a) r (b) 5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 1:57 AM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2 + sqrt(32))*2)**2 - -5*(sqrt(128)\/(-3*sqrt(4)))**2.\nAnswer: 2304*sqrt(2) + 46816\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1115 is divided by 533.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2201688 - 2201688 - h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1946799?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6, -2, -8 in decreasing order.\nAnswer: 6, 4, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/2)\/((-5)\/4). Let s be 24\/(-5) + 3 - (-2805)\/850. What is the third biggest value in -2, l, 0.4, s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.488 times -17?\nAnswer: -8.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -5. Let r = -33850\/39 + 868. Let j = r - -3\/26. What is the third biggest value in d, 3, j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -157*g**4 + 82*g**2 wrt g?\nAnswer: -3768*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 + -4 + -8 - -7) + 7 + -9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 337312 divided by 10541?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l - 1 - 2*l**3 + 2*l**5 + 5*l**4 - 2*l - 2*l**4 - 2*l**2 - 3*l**5.\nAnswer: -(l - 1)**4*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -22 (b) -8\/3 (c) 615 (d) 4 (e) 5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 10:37 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -k + 9. Find the first derivative of 3 - 3*b - 2*b**4 + b**4 + k*b wrt b.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 5*k**2 - k + 7. Let z be o(5). Let l(p) = -3*p**2 - 17 + 4*p**2 + 16. What is the units digit of l(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*t**4 - 36*t**3 - 5*t**2 - 5*t + 28498 wrt t.\nAnswer: 24*t**2 - 216*t - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and 77?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 39.0535 to zero dps.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 4*f - 16, 0 = t + 4*f - 23 + 7. Let q = 21 + 4. Let h = -2 + q. What is the remainder when h is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i + 696 = 25*i - 8*i. What is the highest common divisor of i and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + -10335 - 132\/33. Let l = 426 - t. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11840, -23653, -35448, -47225?\nAnswer: -58984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2976, -5959, -8942, -11925?\nAnswer: -14908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1*((3 + ((sqrt(190) - -2*sqrt(190))*-4 - sqrt(190))\/sqrt(10))*-3)**2.\nAnswer: -702*sqrt(19) + 28977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 416390 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -23*c**3 + 2*c**2 - c - 7. What is the hundreds digit of u(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 109*y**2 + 1989*y + 526. What is t(-18)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -26 + c + 33 + 0. Let t be s(-5). Factor -3\/7*l**t + 1\/7*l - 1\/7*l**3 + 1\/7*l**4 + 2\/7.\nAnswer: (l - 2)*(l - 1)*(l + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of 215*p**8\/56 - 19*p**4\/4 + 2*p**2 + 34*p. Find the third derivative of k(a) wrt a.\nAnswer: 25800*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -147*c**5\/5 - 15519*c**4\/5 - 16290*c**3 + 45444*c**2\/5 + 44472*c\/5 + 1440 = 0.\nAnswer: -100, -6, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t + 13. Calculate g(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(-6))\/o*o)\/(o**(-6)\/o))**8\/((o*((o\/(((o*o*o\/o**(1\/10))\/o)\/o))\/o)\/o)\/((o*o**(-3\/2))\/o*o)*o**1*o\/(o**(-2\/5)\/o)) assuming o is positive.\nAnswer: o**109","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/5)\/m*m*m**(-1\/5))\/(m**11\/((m\/((m*(m*m**(-2\/17)*m)\/m*m)\/m))\/m)) assuming m is positive.\nAnswer: m**(-1129\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23202 - 0?\nAnswer: 23202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 5:53 AM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/5, -2\/7, -25?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/24720 and 95\/48.\nAnswer: 24720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 3*d - 1881 = 172*d for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7\/5 (b) 19.611 (c) -0.044\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -159427.9 rounded to the nearest 100?\nAnswer: -159400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - -3)*(44\/(-24) + 3). Solve -6*r = s - 31 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v**3 + 7*v + 3. Let r(g) = -5*g + 155. Let y be r(31). Suppose -28 = 4*u - 8, i - u + 2 = y. Let l(m) = m**3 + 2*m + 1. Determine i*l(p) + 2*z(p).\nAnswer: -p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + d = 6, 48*b - 43*b - 45 = 5*d for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1647176459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 7:43 PM?\nAnswer: 542","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3347099 is divided by 334709?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 68 (b) 2 (c) -0.2 (d) 0.5 (e) -3 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1799017709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 27740 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -526.5 - -526. What is the third smallest value in 8, n, 0.02?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j. Let b(w) = -65*w - 413487. Determine f(b(n)).\nAnswer: -130*n - 826974","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3551602213?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2246634708 to the nearest integer?\nAnswer: 47399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of 16\/105*y**7 + 17\/12*y**4 + 0*y**6 + 0*y + 35*y**2 + 0 + 0*y**5 + 0*y**3. Find the second derivative of p(o) wrt o.\nAnswer: 384*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 125727, 251470, 377199, 502908, 628591, 754242, 879855, 1005424?\nAnswer: 1130943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*d + 53*d + 61982 = 0. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**3 + 3*l**2 + 13*l + 3. Calculate f(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.028 (b) 0.1 (c) -2\/11 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 204 - 110. Suppose -q - 146 = -8*t. Solve -4*h - t = -10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 916 is divided by (18\/8)\/(6 + (-1349)\/228).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -4*q - 3. Let n be s(-8). Suppose -4*i - 2 = 2*r, 0 = -3*i + 5*r + n + 2. Sort -0.1, i, 1 in descending order.\nAnswer: i, 1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99932 is divided by 1195?\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6419967 is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*h*y**5 - 2*h*y**2 + h*y - y - 3 wrt y.\nAnswer: 160*h*y**3 - 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -33*o**3 + 7*o - 94. Let t(n) = -32*n**3 + 6*n - 95. Let z = 546 + -551. Let u(d) = z*f(d) + 6*t(d). What is the derivative of u(a) wrt a?\nAnswer: -81*a**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 95732562 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5.8 (b) 0 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 41120 and 35387872?\nAnswer: 176939360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from ssxs.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.24681915 rounded to four decimal places?\nAnswer: -3.2468","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**4 + s**2 - s**2 + 4*s**4 - 2*s**4 - s**4 + (4*s - 2*s**3 - 4*s)*(-2*s - 3*s + 3*s) + (-2 + 2 + 2)*(-3 - 1 + 5)*(0*s**4 - 2*s**4 + s**4).\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c. Let w(h) = 7*h - 2. Suppose 5*l + 3 - 28 = 0. Give l*m(b) + w(b).\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 4*k - 4. Let l(q) = 15*q + 4. Let t(w) be the second derivative of -7*w**3\/6 - w**2 - 243*w. Determine k*l(p) - 9*t(p).\nAnswer: 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.67 - 2.67. Let h be (-3)\/2*(-4)\/(-15). Let t be ((-2 + 0)*-1)\/(-7). What is the smallest value in h, g, t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 12*d**2 + 23*d - 461. Determine p(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 5:57 PM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 671583701 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 -101, -387, -807, -1361, -2049?\n\"Answer: -67*w**2 - 85*w + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 6 + 6 + (4 + 1 + 1)*(2 - 2 - 2*x))*(-8 - 2 + 3)*(1 + 3 - 2).\nAnswer: 196*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + i**2 + 3*i - 1. Let z be s(2). Let g(v) = 15*v. Let c be g(z). Calculate the common denominator of -49\/16 and 142\/(-8)*3\/c.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*q**4 - 1 - 1 - 3*q**3 - 4*q + 3*q + q**2 + 7 - 3 to u + m*q**2 + y*q**4 + g*q + a*q**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 0. Which is the third smallest value? (a) -2 (b) r (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/120)\/((-20)\/(-400)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 384 + -374. Solve -3*h + 2*h = -2*r + 7, 0 = 2*h + 2*r - g for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 7*m**2 - 28*m + 9. Determine z(-10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*w**4 + 135*w**3 + 215*w**2 - 855*w + 500 = 0. What is w?\nAnswer: -25, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r*((r\/r**32)\/r*r)\/r*r*r*r**(1\/11))\/(r**(-16)\/r)**38)**(-39\/4) assuming r is positive.\nAnswer: r**(-132795\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -1\/4, -7\/47, 3, 0.1, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -3\/5 (b) -2 (c) -2\/9 (d) 27\/208\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -276 + 240. Let z be ((-3)\/2)\/(x\/600). Solve -7*q - 60 + z = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3561 divided by -32.\nAnswer: -3561\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(1\/((-128)\/6)). Let h = -16 + x. Suppose 358 = 657*k - 2927. What is the remainder when h is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -259*w = -260*w + 14. Calculate the remainder when 1\/((-2)\/(-2))*(-3 + 170) is divided by w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*v + 3*u, -5*v - 117*u + 114*u + 18 = 0. Determine o, given that 3\/2*o**2 + 3\/4 - 3\/8*o**v - 15\/8*o = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -31, -62, -95, -124, -143, -146, -127?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 5:09 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + 2*w - 4*w)*(-69 + 66 - 28*w**3 + w**2 + 14*w**3).\nAnswer: -14*w**4 + w**3 - 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -83*g. Let p(j) = 584*j. What is p(v(a))?\nAnswer: -48472*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2222 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 65588 (base 13) in base 4?\nAnswer: 230300030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -75133 divided by -1?\nAnswer: 75133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 4*c + 11. Let k be u(3). Suppose -2 = -m + 2*s - 0*s, 0 = -m - 5*s + k. Solve 0 = -5*t + t + m for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 531, 533, 537, 543?\n\"Answer: x**2 - x + 531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2703 - -7?\nAnswer: 270a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/84 and 47\/120.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 2 = -17. Suppose 5*v + l*c = 101, -4 = -c - c. What is the highest common factor of 76 and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 4:51 AM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 458*t - 137. What is the tens digit of q(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 83*d - 446167 + 128170 = 0. Does 39 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/84)\/((-6)\/12)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in 0.363, -93, -1\/3, 4?\nAnswer: 0.363","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.51124 - 6\nAnswer: -6.51124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 1 = -4, 3*d - g - 11 = 0. Suppose -r = -0*r + d*r. Solve 2*w = -4*o + 10, 3*o - 2 = 4*w - r*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 6 - 3. Solve -3*p = -4*p + u, -g = 5*p - 15 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -216, -198, -182, -168, -156, -146?\n\"Answer: -v**2 + 21*v - 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18.982 + -19. Let j = u - -0.05. What is j rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -17. Solve 0 = g*i + 9 + 7 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f**3 - 23246055*f**2 - 27018942030120*f + 27018965276180 = 0.\nAnswer: -2324606, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*j - 1441 = 15154 - 5066 for j.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + 25. What is the remainder when n is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 5. Let v be 168 + (6 - 10\/1). Let n = v - 1146\/7. Which is the biggest value? (a) u (b) -0.3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three tenths of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 46756*n - 59250 wrt n.\nAnswer: 46756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i**3 + 0*i**3 + 3*i**3 + i**2)*(14305 - 14305 - 182*i).\nAnswer: 364*i**4 - 182*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a milligram in micrograms?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 86\/6071 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 407*h + 20. Let z be d(0). Suppose 49 + 15 = 2*t. What is the greatest common divisor of t and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 + -12. Calculate the smallest common multiple of (-4)\/(12\/(-9) + 1) and k.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16181620 - 2.4?\nAnswer: -16181622.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/45)\/((-291)\/5335).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 - 13. Let m = 17 - x. What is the least common multiple of m and 2*(-2 - (-6 + 2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 2 + 2)*(15*c - 87*c - 18*c - 11*c - 42*c) to the form h*c + f and give h.\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.1 + -1. Let o = 0.3 + -1.3. What is the closest to -2 in -2, k, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a gram in milligrams?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15595228?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -14611 - 0.3?\nAnswer: -14611.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-14))\/((-482)\/3374).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -4\/430981?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 2) to base 3\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.810836 centuries to millennia.\nAnswer: 0.1810836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 + 22. Suppose i + 0*y + 630000 = v*y, 5*i + 3150000 = -2*y. What is i rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16584 is divided by 5526.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1cd4 (base 14) in base 11?\nAnswer: -3a72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 519953?\nAnswer: 7, 74279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 130403 + 3?\nAnswer: 130406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 797.7822 micrograms to milligrams.\nAnswer: 0.7977822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/2 + 7\/1)*480\/10800\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 1)*4\/8. Let g be 11\/30 + (-3 - l)\/15. Which is the closest to -0.1? (a) -4 (b) g (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3. Let x = 54 - 54. Give f(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3*n - 7, 11 = 2*h + 2*h + 3*n. Let i(q) = 5*q + 1. Let l(y) = -y. Let f(p) = i(p) + 6*l(p). Let u be f(h). Sort -9, 3, u in ascending order.\nAnswer: -9, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (0 + sqrt(475) + sqrt(475)) - ((sqrt(19) - (sqrt(152)*2)\/sqrt(8)) + sqrt(19)))*-3 - (4*3*sqrt(152))\/(sqrt(512)*2 + sqrt(8)).\nAnswer: 447*sqrt(19)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -80 bigger than -4177\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**2 - 436*p + 7076. Calculate b(18).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00174911 to 4 decimal places.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 14) to base 5\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 5*i**2 - 9*i + 7. What is the units digit of a(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 123.89206.\nAnswer: 495.56824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 divided by -7?\nAnswer: -120\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - h**3 + 2*h)*(h + h - 4*h)*((-1 - 1 + 4)*(3 - 2 + 4) + 7 - 3 - 2).\nAnswer: 24*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356 is divided by 28.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) -9 (b) 5 (c) -1\/2 (d) -0.72\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d. Let h(v) = -v. Suppose 4 = -5*a - 16. Determine a*k(u) - 5*h(u).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -537*g = -653*g. Solve g = -18*t - 50 - 22 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 328 + 65 = 3*v. Suppose -4*j + 3*p = 1 - 319, -150 = -2*j - 3*p. Let l = v - j. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 690*j + 29 = -3*n + 692*j, 2*n + 3*j - 76 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 665\/4764?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -831 or -788?\nAnswer: -788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 10*z + 24 = 0. Let r be 5\/((-180)\/(-6))*z\/4. Is 1 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 19624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 103646 and 232.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -836100 divided by 3\nAnswer: -278700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3590 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + o**2 + 3*o - 2. Let c be q(2). Suppose c = d - 5*j, 0*j - 5*j = 2*d. Is 25 at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1915 + 3566. Let l = -669 + z. What is the hundreds digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (17\/(-1))\/((-30)\/150). What is the greatest common divisor of b and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281979173 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1975237307 to the nearest integer?\nAnswer: 1255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**3 + 17*c**2 + 2*c + 64. What is t(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + t = -2*b + 22, 5*b = 3*t - 50. Let s(v) = t - 10 + 2*v**2. Let u(x) be the first derivative of -5*x**3\/3 - 44. What is s(u(n))?\nAnswer: 50*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of 0*g - 1\/112*g**8 - 5\/6*g**3 + 1\/2*g**5 + 1\/24*g**4 + 1\/30*g**7 + 17\/60*g**6 + 0 - 135*g**2. Factor q(c).\nAnswer: -(c - 5)*(c + 1)**3*(3*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1021101 (base 3) in base 15?\nAnswer: 41d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 10:37 PM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.06, 32, 0.1, -2\/3, -53\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1208.1 - -1205.4766. Round s to 1 decimal place.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*b**3 + 5*b**3 + 4*b**3)*(-3248 - 2474 - 9569) to the form x + w*b**2 + i*b**3 + q*b and give i.\nAnswer: -91746","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110011101 + -10?\nAnswer: -10110011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 132 = -771. Let y(w) = -m*w - w**2 + 264*w - 147*w + 1. Give y(-13).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -170*g - 40806. Calculate q(-240).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23862737?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2412\/(-22914)*57*-3?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*t - 2200 - 1324 = 1667 for t.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 199 - 146. Put -1, -5, x in increasing order.\nAnswer: -5, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v, 1 a, and 1 f when four letters picked without replacement from xafffvajfxajfvwjwf?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6133 + -6133.4777. What is a rounded to 2 dps?\nAnswer: -0.48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 10. Let j = 13 + -8. Find the third derivative of -6*s**4 + p*s**2 - 3*s**j + 3*s**4 + 3*s**4 wrt s.\nAnswer: -180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4*t - 48 = 0, -2*d + 22 = 5*t - 9. Suppose 0 = -x - 53 + d. Let l = -20 - x. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155366097 is divided by 4050.\nAnswer: 4047","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 4 + 2 = 5*a, -4*k - 6 = -a. Let x(q) = -533*q**3 + q**2 + q. Is x(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 5574*n**3 - 15*n**2 - 5*n. Let a(m) = -18642243*m**3 + 50166*m**2 + 16722*m. Determine -5*a(o) - 16722*p(o).\nAnswer: 2787*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2880 and 49188?\nAnswer: 11805120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyo when three letters picked without replacement from {u: 10, r: 1, y: 2, o: 1}.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d**(-2\/5)\/d)\/d)\/d)\/d*(d**0\/d)\/d*(d**0)**(-8))**(5\/14) assuming d is positive.\nAnswer: d**(-27\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pvp when three letters picked without replacement from vvvpvvvvvvpvvvvvvpvp?\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 13 - 125. Let j = 246 - d. Let g(z) = -z**3 + 3*z**2 + 5*z - 3. Let l be g(3). What is the highest common factor of l and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 751535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3*m + 1345 = -270, m + 6405 = -4*x. Let t be x\/12*69\/2. What is t rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 3*x**2 + 2*x - 7. Let r be w(-3). Which is bigger: r or 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1759656641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -f - f + 2, -2*f + 2 = 3*j. Solve j + 12 = 3*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8435544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2284 + -13705\/6. Which is the second biggest value? (a) -1\/9 (b) 0 (c) 5 (d) -31 (e) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 2019 = 8*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i**2 - 2*i + 2*i)*(24*i + 25*i - 21*i) + (-3*i**2 + i - i)*(2*i + 4*i - 5*i) in the form b*i + c + x*i**2 + o*i**3 and give o.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162 - 174 = 26025*o - 26137*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 96*j**2 + 958*j + 848. Let c be n(-9). Let k be 2\/3 - (-7)\/3. Factor 0 - 1\/3*g**k + g**c + 0*g.\nAnswer: -g**2*(g - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttyrrtyyyrtryyytpy. What is prob of sequence tyy?\nAnswer: 35\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 8550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 440 = 5*t, -2*t + 3*m = -233 + 47. Let l = -268\/3 + t. Factor 2\/3*v**4 + 0 + 0*v - l*v**3 + 0*v**2.\nAnswer: 2*v**3*(v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a kilogram in milligrams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) -0.01 (c) 0 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 1:26 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*l + 166*l = -3*g - 9 - 12, 10*g = 2*l - 26 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15969933*s**2 + s + 29515707.\nAnswer: -31939866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 392 - 396. Let n(i) = -4*i + 1. Let c be n(1). Sort -1, c, j in ascending order.\nAnswer: j, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42622\/(-3232) + (-3)\/(-16) - 38\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 772799 and 279?\nAnswer: 6955191","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -13923*a**4\/2 + 666132*a**3 + 1766107*a**2\/2 + 280978*a - 6402 = 0.\nAnswer: -2\/3, 33\/1547, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 + -37 + 1 + 16 - 2?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**3 + 104660 - 104660.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(1377) + 3 + (1*sqrt(17))**2 + 1.\nAnswer: 20 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*z + 38 = 7*u + 26*z, -20 = -3*u - 5*z for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -2*p**3\/57 + 1338*p**2\/19 - 895122*p\/19 - 503. Factor q(c).\nAnswer: -2*(c - 669)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 + 0*k**2 + 4*k**2)*(k + k - 4*k) + 0*k - k**3 + 2*k + 0*k**3 + 4953*k**3 - 2875*k**3 + 1835*k**3.\nAnswer: 3908*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, z: 7, o: 1, g: 1}. Give prob of sequence oz.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 4982.\nAnswer: 1\/2491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9730?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -6747468 less than -34404?\nAnswer: 6713064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccrrcccbrr. Give prob of sequence cccr.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(512)*-2)\/((sqrt(252)*1 - sqrt(252) - sqrt(252))\/sqrt(7)).\nAnswer: -16*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*a + 2422 = 141*a - 2680 - 2004 for a.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3246216.\nAnswer: 2, 3, 41, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*u - 19*u + 36. Let g be (-1)\/u*(-65 - -56). Solve -3*l + g = -11 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/33, -4, 0.2, -2\/23, 53?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 122374258 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50 and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 266047?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 4*z**2 + z. Let m be p(-4). Let x = -10 + 18. Suppose 18 = -2*k + x. Is k less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36.98 * 0.3\nAnswer: 11.094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50455 (base 7) to base 2.\nAnswer: 10111111010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 4*r**2. Let k(y) = 1 - 362*y + 110*y - 1 - 204*y. What is k(j(g))?\nAnswer: -1824*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 3) to base 5\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, h: 2, w: 4, t: 2}. What is prob of picking 2 t and 1 w?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 71 = 67. Is (-72522)\/(-171) - -4*t\/(-152) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2079324 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 + 31. Let f be x\/12 - (-11)\/55. Let n = -3\/10 - f. Which is greater: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005741931437 rounded to five decimal places?\nAnswer: -0.00574","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (6 - 5 - -2) - 5\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 73404113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 c when two letters picked without replacement from {y: 4, g: 6, c: 9}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z + 9. Let w(q) = -q - 10. Let l(o) = 7*k(o) + 6*w(o). Let s be (-38)\/(-8) - 3\/(-12). Is l(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -3, 0.\nAnswer: -5, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 767702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 416 = -224. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5966548373 and 220589.\nAnswer: 5966768962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 2*t = 2, g + 5*t = 15. Let p = 30 + -26. What is the least common multiple of p and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-12) + (-22)\/(-6). Suppose 8*j - 3*j - 25 = 0. What is the nearest to 3 in j, -0.2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -86 * 728113.\nAnswer: -62617718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 8 = -3*p. Suppose -19 = -4*i - 5*u + p*u, -3*u = -3*i + 9. Suppose 5*n + i - 34 = -4*g, 3*g - n - 13 = 0. Put 2\/11, -4, g in decreasing order.\nAnswer: g, 2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 7:31 PM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**4 - 18*n**3 + 50*n**2 + 402*n - 1008 = 0. What is n?\nAnswer: -8, -7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f - 8*f - 3*f + 15*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 8:00 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 10967 and 164518\/15 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by (-12 - -4) + 27 + 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.7 and -3015.\nAnswer: -3015.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of -j**3 + 1\/24*j**4 + 0 - 4*j**2 + 0*j. Let z = 31750 + -31740. Give y(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.575 + -0.275. What is the biggest value in v, 5, 1, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000727 to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -n**5\/20 + n**4\/4 - n**3\/2 - 2*n**2. Factor f(t).\nAnswer: -3*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*z = -39*z - 6450. What is the thousands digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100883561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 z when two letters picked without replacement from zttt.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -70 (b) -11.887 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2964 and -0.0814768.\nAnswer: 2963.9185232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*s - 27*s = 174 - 576 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = i + 317 + 502, -4*z - 2*i = -644. What is the units digit of z + (6\/(-1) - (-10 - -6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1107 and -1105 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 38*z + 5. Let c(n) = 152*n + 23. Let h(l) = -2*c(l) + 9*p(l). Let f be h(2). Calculate the highest common factor of f and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = p - 3, -5 + 1 = -4*n + p. Suppose 2*q = q - n. What is the units digit of 10\/3*(q - -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1346\/6 + 4\/(-12). Suppose -h + 39 + p = 0. Suppose 5*o - 4*f - 363 = 0, -5*o + h = f - 115. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9210185 centimeters in millimeters?\nAnswer: 9.210185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1245 is divided by 315.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, s: 1, y: 1, p: 1, c: 1}. Give prob of sequence ys.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -1\/4*c**4 - 4\/3*c**3 + 3*c**2 + 3*c + 111. Determine a(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 325 divide 551381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0544486 to three decimal places.\nAnswer: -0.054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence axx when three letters picked without replacement from {a: 1, x: 2, h: 2, q: 2, n: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*x - 1112 = -0*y, -2*x = y - 563. Let l = 343 - y. Let q = l + 1655. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3340 is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.885 + -0.115. Let o = 4 - 32. Let t = o - -30. What is the nearest to k in 5\/2, -3, t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*j, -o - 3*j - 9 = 9. Let g = 14 + o. Does 26 divide 915\/g + 4\/(-22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 13 = 3*v. Suppose 0 = 3*a - 5*y + 9, 2*a + 5*y - 23 = -4. Let w be 3 + 0*(-1)\/a. Solve -12 = p + 3*q, 0 = w*p + v*q - 2*q + 12 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (4 - 3)) + 0 + -2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.1375 nanograms to kilograms.\nAnswer: 0.0000000000061375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -127*j + 6. Let s be c(-3). Let r = -202 + s. Does 37 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2910 divided by 89\nAnswer: -2910\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 8. Let h = y - -2. Solve 3*g = j + 15, -3*j + h*g - 13 - 16 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 18.2. Let r = -5 - q. Let g = 2.7 - r. Which is the biggest value? (a) -2\/13 (b) g (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -25. Let b(l) = -l**3 - 4*l**2 - 4*l - 5. What is the remainder when q is divided by b(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -35. Let j = -20.125 + w. Let g = -0.1 - j. Round g to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/221 and -101\/442.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13019 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 195673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 9, -4, 34, 3, -2, -15.\nAnswer: -15, -4, -2, 3, 4, 9, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and -59906378.\nAnswer: -59906374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y. Let d(a) = 10*a - 392 + 302 - 9*a. Determine w(d(t)).\nAnswer: t - 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 63713124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**4 + 0*f + 0*f)*(-3 + 2 - 1) + 3*f**4 + 0*f**4 - 4*f**4 + 3*f - 2*f**4 - 3*f + (-4*f**2 + f**2 + 2*f**2)*(3*f**2 - f**2 + 3*f**2).\nAnswer: -6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((-2)\/(-4)) - 0. Suppose 2*m + o = v, 4*m + 3*o = -m + 3. Let -425\/2*p**m + 135*p**2 + 4 - 38*p + 125*p**4 = 0. Calculate p.\nAnswer: 2\/5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(0 + (-2)\/8). Suppose -73492 + 73316 = -22*a. Solve 20 = w*y + a for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2222046 by 6.\nAnswer: 370341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of b**5\/480 - b**4\/48 + b**3\/12 - 28*b**2. Factor d(m).\nAnswer: (m - 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1232670160 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: Suppose -289 = -5*l - 5*c + 426, 2*l + 5*c - 292 = 0. Let n(o) = -39*o + 39. Let m be n(1). Suppose m = -3*w + 6*w - l. List the prime factors of w.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 + 33. Suppose -z = -5*s + 12. Suppose 13 = -4*f + s. Sort -4, 5, f.\nAnswer: -4, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 349 + -624. Let t = 271 + h. What is the closest to 0.1 in 2\/21, 1, t?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -798, -3034, -6710, -11826?\nAnswer: -18382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -98056 divided by -55.\nAnswer: 98056\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -2*w**7\/105 - 59*w**6\/100 - 46*w**5\/25 + 4939*w**4\/60 - 484*w**3\/5 + w**2 - 97*w + 3. Find d such that t(d) = 0.\nAnswer: -11, 3\/10, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3 (b) 0.24 (c) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 10*f + 18*f**2 + 3*f**3 - f**4 + 26*f - 7*f - 11*f as k*f**2 + u*f**3 + v*f**4 + s + p*f and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-4))\/((-9)\/12). Calculate the greatest common divisor of 2 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6886.4 - 6882.39972. Let r = -111 - -115. Let u = w - r. What is u rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 290954 greater than or equal to 290954?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*k)*(-2 + 0 + 4)*(3*k - 4*k + 0*k)*(2 + 1 + 0).\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3952528 to the power of 1\/2, to the nearest integer?\nAnswer: 1988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3 + (1*(sqrt(847) + 0)*-5 - 1*(sqrt(847) + sqrt(847) + 1 + sqrt(847))*-3))**2.\nAnswer: 13554","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**4 - i**4 + 3*i - i + 2*i**3 + (-2*i**3 + 5*i**2 - 5*i**2)*(-3*i + i + 0*i) + 13*i**4 - 4*i**4 + 8*i**4.\nAnswer: 22*i**4 + 2*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2137 - 2137 + 45*y to the form k*y + m and give k.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3994793380?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -193812431.0002 - -193796111. Let q = 16318 + m. Let b = 2 + q. What is b rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3154572 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -206 - -203. Let i(h) = 2*h**2 - 4*h + 1. Let s be i(r). Solve 0 = 5*j + 10, 4*j + s = -4*t + 11 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cbcwcxwbzbzccbbxxccc. Give prob of sequence bb.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 2 (b) 9\/10 (c) -16 (d) 109 (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/18 and -2*5 + (-1575)\/(-378)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 441, 350, 347, 474, 773, 1286, 2055?\nAnswer: 3122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 16) to base 12\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 3*y + 55, 0 = -d - 3*d - 2*y - 30. Let m = -1 - d. Does 3 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4646 + -9297\/2. Put 0.4, u, 4, -1\/3 in increasing order.\nAnswer: u, -1\/3, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -3750000 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 13\/4 of a micrometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 26 = 645*u - 648*u, u + 24*m - 4*m + 102 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3468)\/20)\/((-10)\/150) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 5*p - 3. Let k be t(2). Let a be (2\/6)\/(2\/6). Let j = k + a. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/144 and -31\/48.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s - 7*s + 4*n, -4*s - 5*n - 31 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 258728?\nAnswer: 2, 32341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32309, 258187, 871333, 2065397, 4034029, 6970879?\nAnswer: 11069597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 7*o**2 + 1. Let r be j(7). Let y = r - -13. Suppose -v - 54 = -4*v. Calculate the lowest common multiple of v and y.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2*h - 14. Let y = h + 12. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-8)\/(-4)*2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 3*y**2. Let c be j(-3). Suppose -3000015 = w - 3*x - c*x, -2*w = -2*x + 6000010. Round w to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + -6. Let r = y - -7. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -838 + 1469. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by -42150.\nAnswer: -3\/14050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3874 - 1823. List the prime factors of a.\nAnswer: 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -600, -604, -608?\nAnswer: -612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 9*k - 50. Suppose 16 = 14*r - k*r. Let o be (-2)\/r + 637\/(-26). Which is smaller: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5.1 at most 0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*q. Let o = -4 + -1. Sort o, 1, q in ascending order.\nAnswer: o, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l + 30. Determine d(13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7621 is divided by 57?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-165)\/198*(-56)\/105\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 - -0.19936. What is u rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*f + 10 + 44. Let p be (-2)\/8 + (-651)\/(-12). Calculate the highest common factor of p and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9796 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -918 by -6.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 11:23 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.26 - -0.06. Let u = -1.3 - -12.4. Let m = u + -11. Which is the second smallest value? (a) m (b) k (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -163264a (base 14) to base 6.\nAnswer: -1025055122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5435973?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 6*r**2 - r - 4. Let a be g(-6). Let x be (-730)\/6 - a\/6. Let i = x + 191. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*a + 5*p, 3*a - p + 5 = -5*p. Suppose 0 = a*o - 2*o - 3. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8308.871ml?\nAnswer: 8.308871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/17)\/f*f**2\/f)\/((f*f**(-2\/13))\/((f*f**(-4\/11))\/f)) assuming f is positive.\nAnswer: f**(-3084\/2431)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 31*i + 4*i - 7 as f + a*i and give a.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 3 = -5*a. Let l = 95 + -95. Suppose l = -x + 17*x - 144. Solve 4*p - x = -a for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 >= -960572?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -7, -5, -4872, 4, -0.04 in decreasing order.\nAnswer: 4, 1\/3, -0.04, -5, -7, -4872","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -182 - -272. Suppose -29 + 134 = 4*d + 5*n, 5*d - 2*n = j. Is 7 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -29441, -58886, -88327, -117764?\n\"Answer: 2*f**2 - 29451*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 890, 901, 926, 971, 1042?\n\"Answer: r**3 + r**2 + r + 887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 11031*q**2. Let d(b) = -2*b. Give d(j(z)).\nAnswer: -22062*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r\/(r\/(r**(-2)\/r))*r)\/(r**6*r))**(-10\/7)\/((r**(-1\/4)*r**(1\/4)*r)\/(r**(-6)*r**0)) assuming r is positive.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1461?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.695 + 1.895. What is the closest to z in 1\/6, 1, -1\/5, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23019.\nAnswer: 3, 7673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3\/472 + -935\/1416. Which is the nearest to -1\/2? (a) 2\/15 (b) -0.3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/7 - 184\/(-56)) + -5. Let h be g + 4\/(-10) + (-7)\/(-5). Calculate the remainder when 128 is divided by (25 - 0) + -7*h\/7.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 6:30 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 289596 (base 10) to base 11.\nAnswer: 18863a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151564311.\nAnswer: 3, 19, 439, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o - 6. Let x be z(-8). Sort x, -11, -3, -2.\nAnswer: -11, -3, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 241182158 and 1358?\nAnswer: 1358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 518 a factor of 551152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*p**3 - 56*p**3 + 86*p**3 + 23219*p - 23220*p.\nAnswer: 112*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a978 + -4?\nAnswer: -a97c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(126)\/sqrt(3) + sqrt(42)) - sqrt(462)\/(sqrt(99) - sqrt(11)))\/(((sqrt(384)*-2 + sqrt(384) - sqrt(384)) + sqrt(6) + sqrt(6))*2).\nAnswer: 13*sqrt(7)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3735414 divided by -2\nAnswer: -1867707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6237964 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -5*((sqrt(156) + sqrt(156) + (sqrt(156) - 3*sqrt(156)) + sqrt(156))*3 - sqrt(156))\/sqrt(12))**2.\nAnswer: -80*sqrt(13) + 1316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dvvdlmdvdvdvvdv. What is prob of picking 1 m, 2 v, and 1 d?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 6. Suppose 3*u - r*u = -2. Let v be 20\/6 + 4\/12*2. Solve -2*d = u - v for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3\/172 - 655\/1892. What is the common denominator of -43\/7 and f?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21011001 - -2210?\nAnswer: -21001021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 - -32. Let d(o) = z*o + 2*o + 7*o - 12*o. Give d(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -9*h. Let v be b(-1). Suppose -16 = -v*a + 5*a. Let o(r) = 55*r**2 - 6*r + 3. Is o(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-3\/2))**(-9)\/(d**(-9)\/d**(3\/10)) assuming d is positive.\nAnswer: d**(69\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-10))\/(2*(-1)\/(-5))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 51 + -49. Suppose -116 = -2*o - a*n, -n - 45 = 4*o - 271. Is o a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 8 - 7 + o)*(-o + 1 + o - o**3).\nAnswer: -o**4 - 3*o**3 + o + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of 0*o**3 - o**2 + 0 + 0*o - 1\/8*o**4 - 1\/15*o**5. Find the second derivative of k(j) wrt j.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 97*b**2 + 84*b + 17803. Calculate j(-98).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of 0*h**5 + 9*h**2 + 0 + 0*h**3 + 1\/30*h**6 - 1\/6*h**4 + 0*h. Factor k(t).\nAnswer: 4*t*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by 142\nAnswer: -7\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w + 22. Calculate l(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 144161696 and 11584422.\nAnswer: 1297455264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.177 + -0.175. Let l = c - -2.998. What is the second smallest value in 1\/4, l, 11?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -217.952318 to the nearest ten.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 t when two letters picked without replacement from lllxjfttjdjx.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2179 + 3300. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/15)\/((d**(5\/7)\/d)\/d) assuming d is positive.\nAnswer: d**(121\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6984215 to three dps.\nAnswer: -0.698","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (104\/(-130))\/((-5)\/(50\/36)). Which is the closest to -1\/2? (a) n (b) -1\/3 (c) -2\/11 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -2*l - 0*l + 4*k, 5*l + 4*k = 9. Let z(f) = -2*f + 4*f - 2*f - 2*f - 1. Let x(q) = 0 - q - q - 1. Determine l*x(d) - 4*z(d).\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 29, -582, 5, -3 in descending order.\nAnswer: 29, 5, -3, -9, -582","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 689925 and 21555.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -db63?\nAnswer: -db60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ry when two letters picked without replacement from {y: 1, g: 1, r: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(76)\/sqrt(4))**2 + (sqrt(152)*2)\/sqrt(8) + sqrt(19) + -2.\nAnswer: 3*sqrt(19) + 682","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000028961 to 6 dps.\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 165523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11440?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 94 = 4*c, 0*b - b = -5*c + 113. Calculate the lowest common multiple of c and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4048 and -155496770.\nAnswer: -155500818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 8:15 AM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 1248 - 2534 - 5*u + 1237 as n + r*u and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2456959 is divided by 220.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8128 and 122809.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2\/9 (b) -1\/6 (c) -0.3 (d) -708 (e) -3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (7\/((-35)\/12))\/((48\/(-200))\/(2079\/770))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 851*y + 441459 - 539324 = 0 for y.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14775 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.138145971 to two decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6561 and 1944.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 5 = 3*s, j = -4*s + 377 - 376 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 3102113003?\nAnswer: -3102113020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -2.96. Let d = 0.24 + z. Is 0 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10125 (base 8) in base 7?\nAnswer: -15122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4181, 4144, 4127, 4142, 4201, 4316, 4499, 4762?\n\"Answer: 2*c**3 - 2*c**2 - 45*c + 4226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - r = -0*r + 322, -2*r = 4. Let u be 32\/c - 0\/1. Let h = -0.7 - -4.7. Which is smaller: u or h?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -8 - ((-210)\/100)\/((-9)\/(-35)). Which is the nearest to 2\/11? (a) 4 (b) x (c) -0.4 (d) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/882 and -49\/108?\nAnswer: 5292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 320 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1040208 (base 9) to base 3.\nAnswer: 1001100020022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*n - 3*n + 0*n)*(84 + 53 + 166 + 202) to the form q + f*n and give f.\nAnswer: 1515","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -84 - -124. Let m = f + 164. Suppose -2*q + 3*s = -110, -2*s = -2*q - 2*q + m. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6\/5 (b) -127 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4240233*a**2 + 2599389 wrt a.\nAnswer: 8480466*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 9 = 0, 16*t - 17*t - 4*m = -13 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 136839295.47 to the nearest ten thousand.\nAnswer: 136840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -115490 to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4150?\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.4 + -1.4. Let y = c - 2.7. Let w = -270 + 275. What is the closest to 1\/4 in 2, w, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 5)*(-a + 2*a - 2*a)*(-267*a + 734 - 734).\nAnswer: 1068*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5*d + 2 = 3*z, 4*d - 8 = z. Suppose -6*a - a + 308 = z. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 18*c + 214. Let z(b) = -14*b - 216. Calculate -4*g(k) - 5*z(k).\nAnswer: -2*k + 224","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-44)\/(-132))\/((-1)\/(-9)). Suppose 2*p - 5*x + 4 + 8 = 0, -5*p - 7 = -x. Let g = 5 - p. Solve -r*c + g*c - 12 = -3*l, 2*c = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6352 a factor of 37903561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(9\/7)\/p**21)\/(p**(-8))**10 assuming p is positive.\nAnswer: p**(422\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00066901803 rounded to 5 dps?\nAnswer: -0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v + 9*l + 11185 = 8*l, 5*v - 5*l - 3285 = 0. Calculate the highest common factor of v and 1034.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p**3 + p**2 - 1. Let y be h(1). Let w be 3 + 2 + 1 + y. Determine a so that -4*a**4 - 12*a**w + 128*a + 47*a**2 + 44*a**3 - 64 - 143*a**2 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*a**2 - 9*a**2 + 0*a**3 + 3*a**3 + 21*a**2 + 40 in the form z*a + r*a**3 + y + q*a**2 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5035 (base 8) to base 10\nAnswer: 2589","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -62 + 90. Does 7 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 577 = 5*i, i + 0 = -2*m + 117. Let c = i + -123. Let d(s) = 2*s**2 - 14*s + 5. Let x(r) = -r**2 + 5*r - 2. Give c*x(l) - 3*d(l).\nAnswer: 2*l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v**3 + 300000. Let x be z(0). What is x rounded to the nearest ten thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 6*m**2 + m - 16. Let r be q(-5). Suppose 2*x = -2*t + 312, -5*x + r*x + t = -152. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - -1) + 75 + -58?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 0, -17, -64, -153?\nAnswer: -296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 1:29 PM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 162283\/84 + -5794\/3. Let b = 275068\/441749 - -4\/5737. What is the common denominator of b and q?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/13)\/k**9)**24 assuming k is positive.\nAnswer: k**(-2880\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -100681 + -760?\nAnswer: -101551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 2\/11 (c) 53\/5737 (d) 0.5 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 3*i + 36 = 8, -5*i - 20 = 0. Solve -8 - x = -4*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 124*(13\/4 - 0). Suppose l - z - z - 116 = 0, 0 = 3*l + 5*z - m. Suppose 0*k - 7*k = -l. What is the remainder when 71 is divided by k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16550 (base 8) to base 2.\nAnswer: 1110101101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -118\/5 + 2827\/120. Which is smaller: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 98 and 21.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**2 + 4*z. Suppose 132 + 158 = 5*v - 5*w, 0 = 5*w - 15. Let u(i) = v*i**2 + 1 - 9*i - 117*i**2 + 61*i**2. Calculate -7*k(d) - 3*u(d).\nAnswer: -d**2 - d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1038 - -1039) + (-2 - (4 - 7 - (2 + -5)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80201 and 63250.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 - -34. Solve k*p = 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from -1520.54513.\nAnswer: -1520.34513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/2 (b) -5 (c) 1578 (d) 12\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 d when two letters picked without replacement from dwwddwjdrddur?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 3479?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 206, 832, 1876, 3338, 5218, 7516?\n\"Answer: 209*v**2 - v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 2*b**2 - 8. Determine k(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.4, -2, 2\/11, 1, 0.25 in increasing order.\nAnswer: -2, 2\/11, 0.25, 1, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (3 - 3 - -3)) + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8108343, 16216682, 24325021, 32433360?\n\"Answer: 8108339*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 290 a factor of 2096338862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1444, -1440, -1436?\n\"Answer: 4*x - 1448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of 253*a**6\/2 - 55*a**4\/4 + 2*a**3\/3 - 2941*a. Find the third derivative of r(o) wrt o.\nAnswer: 91080*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298609700?\nAnswer: 2, 5, 19, 157163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -f**5\/20 - 5*f**4\/12 + f**3\/2 + f**2\/2 + 3*f - 7. Let j(p) be the first derivative of a(p). Give j(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/223?\nAnswer: 1\/223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - f + 6 = -4*t, 5*t - 5*f = 0. Let w = 47 + -47. What is the common denominator of t + w + 166\/(-18) and -131\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 6682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/98740419 and -59\/114327?\nAnswer: 296221257","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(3\/6) - (-9 - -4). Suppose -f*n + 78 = 12. What is the highest common divisor of 55 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1)*p**(-1\/2)*p*(p\/(p\/((p\/(p**(9\/4)\/p))\/p)*p))\/p**(-27))**(-35) assuming p is positive.\nAnswer: p**(-3395\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1314 - 5.1314. Which is the fourth smallest value? (a) 1\/2 (b) -0.2 (c) 2\/17 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4*2\/24*6. What is the units digit of ((-25)\/u - -2)*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2609, 2760, 2929, 3122, 3345, 3604?\n\"Answer: l**3 + 3*l**2 + 135*l + 2470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 38445, 41167, 43889, 46611?\n\"Answer: 2722*m + 35723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**11\/w**24)\/(w**(1\/27)\/(w\/(w\/w**(1\/3)))) assuming w is positive.\nAnswer: w**(-343\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(-23)\/(-1747264)*8. Is b less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 20*g - 102. Let z be j(6). What is the first derivative of 45 + 10 + 5*v + v - z*v wrt v?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10399421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2*a - 16 = 0, 1 = -3*z + 3*a - 8*a. Suppose -11*i + 376 = -z*i. Find the first derivative of 15 + i*g - 2 - 12*g wrt g.\nAnswer: 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -5*g**2 - 2. Let n be k(2). Let j be 1 + n\/18 + 0. Let v = -0.76809 + 0.26809. Which is the closest to j? (a) v (b) -0.1 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - -18 - (-4 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-3 - -10) - -15?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 2*z - 157 = 0, 6302*a - 6299*a - z = 94 for a.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29631776\/402849 + -2\/134283. Let v = 12151\/180 + t. Let s = 8878 - 106385\/12. What is the common denominator of s and v?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + 95*w + 1484. Let z be q(-19). What is the highest common factor of 215 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -1, 464 in increasing order.\nAnswer: -3, -2, -1, 464","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = o - 5. Let y(n) = 2*n**3 - 5*n - 1. Let g(s) = -s + 1. Let c be (-5)\/(-1) + (-47 + 19)\/7. What is c*y(h) + o*g(h)?\nAnswer: 2*h**3 - 2*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 74 and 5143?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 4*p**2 - 4. Suppose 4*s = -s + 20. Give n(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 14*s**2 + 40*s + 18. Calculate the least common multiple of 63 and r(-10).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 2 + 0 + 0 + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 3. Let d = m - -2. Suppose -2*o = -5 + 1. What is the second smallest value in 0.4, o, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 12, i: 4, y: 1, s: 2}. Give prob of picking 2 i.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -5*k**6\/6 + 9*k**5 - 35*k**4\/2 - 10*k**3\/3 + 75*k**2\/2 - 35*k + 1057. Factor v(u).\nAnswer: -5*(u - 7)*(u - 1)**3*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52 and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 714 + -333. Suppose 0 = -7*g + 4*g + o. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 + 29590*p + 43778405.\nAnswer: 5*(p + 2959)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 124*i**3 + 6*i**2 + 6*i - 12. Let v(p) = 620*p**3 + 30*p**2 + 28*p - 56. Determine 14*r(q) - 3*v(q).\nAnswer: -124*q**3 - 6*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1008 - -1235. Is 19 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 5*q = 115, -t + 23 = 3*q - 8*q. Let f = 48 - 45. Suppose f*c - 12 = 0, 3*c - 3 = -4*k + 45. What is the remainder when t is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -62545, -124960, -187125, -248914, -310201, -370860, -430765?\n\"Answer: 21*r**3 - r**2 - 62559*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 11:04 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -113, -5, 6, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2\/((-56)\/(-819))*(-9 - -421)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 7*h + 2. Let s be b(-7). Suppose s*k - 10 = 0, 5*i - 5*k - 80 = -0*k. Let p = i + -12. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 5*f**2 - f - 3. Let j be i(-5). Suppose 0 = 2*n + j*n - 8. Let k(x) = 5 + x**2 - x**3 - x**n - x + 5*x**2 - 6*x. Calculate k(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 1352*j**3 - 451*j**2 + 15*j + 10. Let a(g) = 1352*g**3 - 453*g**2 + 18*g + 12. Let o(w) = -5*a(w) + 6*n(w). Find the third derivative of o(t) wrt t.\nAnswer: 8112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of i**6\/600 + i**5\/300 - i**4\/60 + 2*i**2 - 1. Let b(p) be the second derivative of f(p). Factor b(u).\nAnswer: u*(u - 1)*(u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1330722287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -14*0.1\nAnswer: -1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3998 is divided by 3816?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 214852946*a**4 - 757339726*a.\nAnswer: 2578235352*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000094 rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w - 19. Let s be c(5). Is 13 a factor of 836\/6*(-12)\/s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3993 (b) 0.5 (c) 5 (d) 2\/211\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2550521 = 148*i - 4228424 - 2141015. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(3\/2)\/f)\/(f*f\/(f**(8\/3)\/f*f)*f) assuming f is positive.\nAnswer: f**(1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/2)\/((-2635)\/32674)*2\/2.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0417419 rounded to three dps?\nAnswer: 0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 12. Put -4, 1, -1, l in descending order.\nAnswer: l, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2*a = -7*k + 12, 4*k - 3 = 5*a. Let w be (-42)\/63*(-42)\/4. Let c(d) = -d + 13. Let i be c(w). Sort k, i, -2 in increasing order.\nAnswer: -2, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2041 + 43499 = 604*h - 98*h. Calculate the remainder when 806 is divided by h.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 o, and 1 b when three letters picked without replacement from {q: 1, t: 3, m: 3, w: 1, o: 2, b: 1}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*z**4\/5 + 66*z**3\/5 + 83*z**2\/5 + 6*z\/5 = 0.\nAnswer: -3, -2, -1\/13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -233, -470, -703, -932, -1157, -1378?\nAnswer: -1595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18500*q**2 - 132*q + 114*q - 18578*q**2.\nAnswer: -78*q**2 - 18*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174*p + 2*p**2 + 9*p**3 - 10 - 74*p - 100*p.\nAnswer: 9*p**3 + 2*p**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f**2 + 15*f + 18. Let m be c(6). Suppose -5*i + 10 = m, -3*o - i = -o - 10. Suppose 3\/8*h**3 + 1\/8*h**2 - 3\/8*h - 1\/4 + 1\/8*h**o = 0. What is h?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d**2 - 3*d - 4. Suppose -5*o - 2 = -4*y, 3 = -2*y + 4*o + 7. Let i be t(y). Suppose 15*x = i*x - 6. Solve -10 = -x*q + 7*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*p = -12*p - 36. Suppose a = 4*k - 305, 0 = p*k + 4*a - a - 240. Suppose 77 = z + 3*o, -3*z - k = -4*z + 3*o. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/25 in -3, -3975, 2\/3, -5\/2, 6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/12*75*3. Suppose -90 = -i - 3*b, 27 = 2*i + 3*b - y. What are the prime factors of i?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3799, 0, 4, -3 in descending order.\nAnswer: 3799, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 12*d + 5. Let w(g) = 3*g + 7. Let i be w(-6). Let k(b) = 9*b**3 - 2*b**2 - 2*b + 3. What is the remainder when k(2) is divided by a(i)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 183588? (a) -3 (b) -4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/2115 and 52\/2585?\nAnswer: 23265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.35420965 to four decimal places.\nAnswer: 0.3542","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1.81+-37.367773\nAnswer: -35.557773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3294000 to the power of 1\/2, to the nearest integer?\nAnswer: 1815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 7 = v, 3*v + 3*d = 4*d - 5. Let o be (3 + 2)\/(-1 + 2). Let t be ((-144)\/108)\/(6\/(-9)). Sort o, v, t in decreasing order.\nAnswer: o, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 23*h**3 - 92. Let x(p) = 122. Let k(j) = 27. Let b(r) = -9*k(r) + 2*x(r). Calculate 92*b(s) + i(s).\nAnswer: 23*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 45 = 17 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b - b + 4*b)*(0*b + 0*b - 2*b) - 3014*b - 49*b**2 + 3014*b as x*b**2 + d + q*b and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**3 - 93136*v**2 + 93136*v**2.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4993683*b**4 + 14187650*b**2 wrt b.\nAnswer: -119848392*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 330826900 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 149 - 1061 = 0. Let c = m - -854. Let x = c + -170. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 4.01. Let x = -0.01 + q. Which is the third biggest value? (a) -3\/5 (b) -0.3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from vvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*w**3 + 5*w**4 - 426*w + 426*w + (-w + w + 2*w**2)*(w**2 + 2*w**2 - w**2).\nAnswer: 9*w**4 - 11*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 - 50*t - 592. Give p(-30).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 8981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38619*v - 23173*v - 60348*v.\nAnswer: -122140*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + 0)**2*-5*2.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x - 104 = -z + 13, -928*z + 13 - 72 = -924*z + 3*x for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + h**4 - 3)*((-31 - 12 + 7)*(3 + 3 - 5) + (3 - 4 + 2)*(1 - 1 + 2)) to u*h**3 + s*h**2 + p*h**4 + m*h + w and give p.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.12067532559 to five decimal places.\nAnswer: -0.12068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*h - 112 - 187 = 0, r - 40 - 57 = 4*h for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k + 6. Let w = -26654 - -26656. Let j(l) = 2*l - 6. What is w*j(c) + 3*b(c)?\nAnswer: -2*c + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, d: 12}. What is prob of sequence ee?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u - 7. Let a be (-1 - 1)*(-3)\/12*498. Let k = a - 255. Let m(w) = -2 + 4 - 1. Calculate k*m(y) - f(y).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 50, -3 in decreasing order.\nAnswer: 50, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, a: 2, i: 6, t: 4, b: 2, l: 2}. Give prob of picking 1 i, 1 a, 1 l, and 1 h.\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + g + n = -445, 280 = 2*g - 4*n. Suppose 0 = -2*q + 5*t + g, 110 = 2*q + 3*t + 2*t. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d + 26. Let t(w) = w + 6. Let a(i) = 2. Let z(s) = 3*a(s) - t(s). What is b(z(j))?\nAnswer: -j + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176*n - 2*n**3 + 3*n**3 + 176*n.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(0 + -1))\/((-15)\/(-210)). Suppose 7*v - f = -0*v. Let j(p) = -p**2 + 2*p + 13. Calculate the remainder when 14 is divided by j(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.04 - 0.34. Let t(b) = b**3 + 4*b**2 - 5*b - 1. Let o be t(-5). Let l be (o - (-3 + -1))\/(-5). What is the third smallest value in x, l, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1177 plus -7?\nAnswer: -6.8823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33833254 and 182.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 6 - 4)*(-2*o**3 - 3*o**3 + 3*o**3) + 0*o**3 + 0*o**3 + 2*o**3 + 34*o**3 - 46*o**3 + 28*o**3 in the form y*o**3 + z + d*o**2 + r*o and give y.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.09, -0.62, -4\/3 in ascending order.\nAnswer: -3, -4\/3, -0.62, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 4377, -56, 7 in ascending order.\nAnswer: -56, 1, 4, 7, 4377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 5*x = 70. What is the remainder when 39 is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10381702?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12102 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gaucouu. Give prob of picking 1 u and 1 c.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-74*w**2 - 26 + 26)*((-2 + 2 - 2*w**2)*(2 + 2*w - 2) + 2 - 2 + w**3 - 2*w**3 + 0*w**2 + 0*w**2 - 3*w + w**3 + 3*w).\nAnswer: 296*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51319 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 191 - 191. Which is the nearest to t? (a) 4 (b) -47 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2333\/22 - 106. Is t less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-40)\/(-4) - 0) + -3. Solve -4*u = -3 + y for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2589*u**2 + 2590*u**2 - 5173*u**2.\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 211415 or -325?\nAnswer: 211415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.01 + 0.81. Let a = -1.2 - q. Let k = 22.9 + -23.2. What is the second biggest value in k, a, 3\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -5*p + 3, p - 9 = -0*z + 3*z. Let v = -394 - -409. Sort -2\/7, -1\/7, v, p in descending order.\nAnswer: v, p, -1\/7, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2025148 and 10734.\nAnswer: 6075444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 102, 135, 170, 207, 246?\n\"Answer: v**2 + 30*v + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**4 + s**4 - s**4)*(8*s - 18*s - 1 + 8*s).\nAnswer: 2*s**5 + s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -182\/5, -2\/9, -0.3, -170 in increasing order.\nAnswer: -170, -182\/5, -0.3, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 3*l**5 + 1173*l**4 - 18069*l**3 - 934413*l**2 + 18066*l + 933240 = 0.\nAnswer: -404, -22, -1, 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 10. Suppose u = 5*q + f + 2*f - 3067, -4*q + 5*f + 2461 = 0. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 118 and 1830888.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vyvyyvvyyvvyvyvhy. Give prob of sequence yyvy.\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -182 times 85\nAnswer: -15470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 3*m + 892625 - 308307, l - 5*m - 584374 = 0. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*h + 78*h - 150 = 0 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -116991 and -6150.7764.\nAnswer: -123141.7764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 11:10 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m**2 + 5670*m + 1607445 = 0 for m.\nAnswer: -567","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(-3\/14)*j**(-28)*(j**(-2\/5))**(-8\/7) assuming j is positive.\nAnswer: j**(-1873\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + r + 1. Suppose j - 11 + 9 = 0. Let g be j - 3*(5 - 4). Determine c(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**2\/7 - 296*f\/7 - 28810\/7 = 0.\nAnswer: -67, 215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/117)\/((-1)\/(-5)). Let d(t) = -3*t**2 - 17*t - 24. Let x be d(-3). Which is smaller: x or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -251912*y - 26441 wrt y.\nAnswer: -251912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-46)\/(-8) - -3 - 0 and 59\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 2 - 4. Let r = 10 - 7. Suppose -g = 3*g - 2*f - 2, r*g + 11 = -f. Is c greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21838.29 to the nearest 1000.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -608 and -609 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*p, -5*p + 2 = 2*a - 15. Let d(x) = -x + 10. Let n be d(a). What is the second derivative of u**n - 8*u + 2*u - 3*u**4 - 3*u wrt u?\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*l + 4*i - 4, 4 = 2*l + 2*i. Let s(x) = x + 2. Let c be s(l). Suppose 4*w + 123 = c*n + 13, -165 = -3*n + w. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(3\/11))**(-26)*(f**(2\/7)\/f)\/f**(-26) assuming f is positive.\nAnswer: f**(1401\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -7 + 2*d**2 + 11*d + 0*d**2 - 3*d**2 + 2. What is the units digit of y(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1603 + -793. Calculate the least common multiple of 14 and a.\nAnswer: 5670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1171393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*w + 9*w + 9. Are w and 3 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(-20) + 4 + (-104)\/10. Let g(o) = -o**3 - 6*o**2 - 2*o - 7. Determine g(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 2\/3, -0.06, -2\/421 in ascending order.\nAnswer: -0.06, -2\/421, 2\/3, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nr when two letters picked without replacement from ynrrrryr.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 22629\nAnswer: 4525.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4202 = 6157. Is h a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 3 - ((20 - 14) + -2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (3\/1)\/(27\/(-36))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -5\/6, -3\/2?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -t**6\/180 - t**5\/30 - t**4\/8 - t**3 + 15*t**2 + 141. Let r(a) be the third derivative of d(a). Determine r(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76, 285, 640, 1141, 1788?\nAnswer: 2581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of -3*h**5\/10 - h**4\/6 - h**3\/2 - h**2 + 4*h. Let r be q(-1). Suppose 4*d = r + 103. Round d to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-2)*4*1\/(-6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 220.6 + -224.6. Let u = 17.3 + -17. Which is the nearest to -0.1? (a) -1\/14 (b) u (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o + 13. Let p be y(5). Solve a = -a - p for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -7*n**2 - 323*n - 3486. Calculate w(-11).\nAnswer: -780","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 233400050 - 0?\nAnswer: 233400050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 277?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - o - o**2)*(6*o**2 - 4*o**2 - 3*o**2) + 6820*o**4 - 764*o**4 - 16253*o**4.\nAnswer: -10196*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 69 = 3*h. Suppose h = 4*y - 69. Suppose y + 16 = 3*s. List the prime factors of s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27515 divided by 3548?\nAnswer: -27515\/3548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*h = -392, -2*h = 5*y + h + 1960. What is the common denominator of -62\/5 and 1729\/y - (-4)\/14?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.58*-3.28817\nAnswer: -1.9071386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4687*o + 6529 - 29 = 247*o - 2380 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**6\/(x\/x**10)*(x*x**(-4\/3))\/(x\/(x\/(x\/(x**(3\/10)\/x)))) assuming x is positive.\nAnswer: x**(389\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 168 and 647328?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (3*(2*sqrt(84)\/sqrt(4))\/sqrt(3) - -1*(6*(1 + sqrt(7)) + sqrt(7))*-6))**2.\nAnswer: 2808*sqrt(7) + 10593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -122*k - 364. Calculate the remainder when f(-49) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 3*a + 13. Let r be s(-6). Let b(f) = -f**3 - 5*f**2 + 7. Give b(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -891 - -894. Sort n, 0.1, -1.53, -3\/5 in ascending order.\nAnswer: -1.53, -3\/5, 0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17937 - 156517 = -13*i. What is the thousands digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/((2 - 8)\/(-2)). What is the closest to 1 in s, 1\/5, -3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1755393*d - 1754590*d - 77088 = 0 for d.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4832119?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33\/7 + 443\/91. Let k(m) = 4*m + 19. Let p be k(-6). Put p, a, 5\/4 in ascending order.\nAnswer: p, a, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 - ((-6 - -3) + 7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 1\/2*a**2 + 1 - 12*a - 1\/3*a**3. Suppose -2*h = -9*h. Determine j(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -496.6 + 487.6. Is u != -1\/602?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 115433*v + 28 = -115432*v, 0 = -x + v - 28 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-5 - 0) - 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -244 + 14?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 3*t. Let n(u) = 4*u + 2. Let m(x) = 5*x - 87. Let y(h) = -m(h) + 3*n(h). Determine y(a(p)).\nAnswer: 21*p + 93","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 609bd + -2?\nAnswer: 609bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 133751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -144143 and 49.18.\nAnswer: -144093.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 202022603 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -6*a + 5. Is 8 a factor of n(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29942 and 5444.\nAnswer: 59884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3049 is divided by 740.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 n when three letters picked without replacement from rrrnruun?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 16*j**2 - 24*j**2 + 10*j**2.\nAnswer: -30*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 3*p = 12, 0 = 13*j - 12*j + 4*p + 16 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 573*k + 26943. Determine d(44).\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8561 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)*-1 - sqrt(104))*-3 - sqrt(104) - 6*(sqrt(104) + -2*sqrt(104)))\/(1*(sqrt(512) + sqrt(512)*4 + sqrt(512) - sqrt(512)))*5.\nAnswer: 11*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -281*i - 329*i + 673*i. Let q(k) = 3*k**2 + 3*k**2 - 3*k**2 + 0*k**2. Determine q(t(p)).\nAnswer: 11907*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*i - 33 = 0, -j + 21 = 4*j + 3*i. Suppose -l = 3 - j. Suppose -4*u = -2*u + 4, 4*u = -5*p + 2. Solve l*q - 5 + p = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.7, 0.4, 30, 5, 26, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(288) + (sqrt(288) - (sqrt(288) + -2))*-3)*-6 + -3 - -6*(sqrt(288) + (sqrt(288) - (2 + sqrt(288) + 0)))*2))**2.\nAnswer: 11664*sqrt(2) + 94041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + 18. Suppose -r + 20 = r - 4*i, -h = -3*r + 5*i. Let j be (-20)\/(-6)*1*12. Calculate the highest common divisor of r and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 139*m - 2505. What is the remainder when l(30) is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - f = 52, 4*f + 50 = 4*x - 14. Suppose 3*j - x = 6. Let q(m) = 2*m + 2. Calculate the remainder when q(4) is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 + 244*f.\nAnswer: 244*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 12*f + 21. Let d(j) = -120*j - 216. Let m(o) = -2*d(o) - 21*y(o). Let s(t) = t + 1. Determine -m(a) - 9*s(a).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -292654588*j**4 + 2321*j**2 - 7407*j - 1?\nAnswer: -7023710112*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**2 + 3*w**2 - 414 + 1678*w + 170 - 603.\nAnswer: w**2 + 1678*w - 847","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 29713.418 to the nearest ten.\nAnswer: 29710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 6:00 AM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 + -24. Suppose -3*o - v = -5*n, -3*o = -2*o. Suppose k - n*k = -32. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 12.99999968. Round b to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2417 + -17327\/7. Let x = 58 + v. Which is the second biggest value? (a) 2\/17 (b) x (c) 1.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 8*m**2 - 6*m - 19. What are the prime factors of a(10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0026344581 rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 160101, 160101, 160103, 160107, 160113, 160121, 160131?\nAnswer: 160143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -116, -4\/11, -0.2 in descending order.\nAnswer: -0.1, -0.2, -4\/11, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 d when three letters picked without replacement from cddcccccdccccccccccl?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -8*x - 3*t, -66*x - 35 = -65*x + 5*t for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 93\/99 + 21\/(-77)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -59*n - 294. Let l be a(-5). Let b(q) = 0 + 6*q**2 + 0*q**2 - 5*q**2 + l. Give b(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 0.18235992.\nAnswer: -0.9117996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {k: 1, d: 14, x: 5}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*g**2 - 18*g**2 - 66*g**2 - 20*g**2 to b*g + q + u*g**2 and give u.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17883?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1204, 3277, 6216, 10021, 14692, 20229?\nAnswer: 26632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5138581 (base 9) to base 2.\nAnswer: 1010011101011111100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 1902*p**2 - 51*p - 51. Is o(-1) a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1588, 3196, 4830, 6502, 8224, 10008, 11866?\nAnswer: 13810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 5)*(7*u**4 + 12*u**4 - 26*u**4) in the form y*u**2 + i + h*u + k*u**3 + z*u**4 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(2) + -2 + 4 + sqrt(2) + -4 + -3*sqrt(200)*-2)**2.\nAnswer: -252*sqrt(2) + 7942","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1800 is divided by 227?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.09, -5, 0.4, -117.4 in increasing order.\nAnswer: -117.4, -5, -0.09, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(2\/7))**(-2\/17)\/(y\/(y**2*y))**(-6\/29))**36)**1 assuming y is positive.\nAnswer: y**(-55584\/3451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -50252425 divided by 31705\nAnswer: -1585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -5*w + 2*t, 0 = -3*w - t - 3 + 6 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -36747813 divided by -3527?\nAnswer: 10419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -4\/307173?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -9*h**2 + 1. Let i(v) = -3483*v**3 - 39*v**2 + 32*v + 6. Let c(f) = 4*g(f) - i(f). What is the third derivative of c(y) wrt y?\nAnswer: 20898","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*u**3 - 68*u**2 - 108*u - 16.\nAnswer: 4*(u - 4)*(u + 1)*(6*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 569 = 13*f + 582 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14286945 is divided by 223.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -87510, -87513, -87516, -87519?\n\"Answer: -3*s - 87507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (9 + -5 + 2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.3 - -16.5. What is c rounded to zero dps?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-5 + -4*(sqrt(304) + 2) - (0 + sqrt(304) + 0 - (0 + sqrt(304) + 3)))*-6)**2.\nAnswer: 288000*sqrt(19) + 4467600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 + 21*t**2 - 2*t**2)*(2*t - 7*t + 3*t) + (6*t**2 - 3*t**2 - t**2)*(t + 0*t - 3*t).\nAnswer: -38*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 6:31 AM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 4*w**2 + 20*w**3 - 2*w - 47*w**3 + 123*w**3 - 5. Let v(d) = -96*d**3 - 3*d**2 + 2*d + 4. Let m(j) = 2*b(j) + 3*v(j). List the prime factors of m(-1).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 393637069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 247\/(-25) + -511 + 521.\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11663 and 1177.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - 5*n - n)*(-2 - 3 + 0)*(-n + 0*n - n).\nAnswer: -80*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1794585 is divided by 155?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -78517717 and 0.\nAnswer: -78517717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4499 or -4171?\nAnswer: -4171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*g - 17*g = 20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 16*n**2 - 67*n + 197. Calculate l(19).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 - -38. Suppose 17 = -y*t + z, -5*z + 14 = -5*t - 3*z. What is the tens digit of (t\/8)\/((-105)\/102 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**2 + 2*t**3 + 1031 + 2*t**2 - 177 - 2*t**2 in the form l + y*t**2 + h*t + r*t**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -92, -384, -880, -1586, -2508, -3652, -5024, -6630?\n\"Answer: -x**3 - 96*x**2 + 3*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeee when four letters picked without replacement from eehttehhhee?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -72*q**2. Let f(c) = -22*c**2. Determine g(f(x)).\nAnswer: -34848*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of 5 - x**2 + 1\/4*x**4 - 2*x**3 + 4*x. Is v(7) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5751 = 9579*s - 9650*s for s.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11011001320 + -1031?\nAnswer: -11011003011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 264324 (base 11) in base 10?\nAnswer: 415661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(-8)\/b)*b**6)**(-16) assuming b is positive.\nAnswer: b**(-256)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 3*y + 10. Suppose 6 = -4*a + y. Let c = -1 - a. Solve -4 = k - c*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/10)\/(((-32)\/40)\/(-2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 4*k - 33, -n + 1045*k - 1048*k + 2 = 0 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 286 and 309881?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -495 = 65*r - 68*r. List the prime factors of r.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-20)\/(-11) + 6\/33. Suppose l + 6 = s*r, -2*r - 1 = -5*l + 1. Solve l + 2 = -4*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 11, 0, -4, -3 in descending order.\nAnswer: 11, 1, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/11544264 and -47\/59004016?\nAnswer: 531036144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do 9 and 124\/13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-17)\/(-5) + 28\/(-70))\/8. Which is the fourth biggest value? (a) 16\/13 (b) -2\/11 (c) l (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v**2 - 3*v. Let p be w(2). Suppose -4*m - p = -7*m. What is the second derivative of 5 - m*c - c**5 - 5 wrt c?\nAnswer: -20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**3 - 7*k**2 - 24*k - 24. Let l(u) = -12*u - 4. Let i be l(-1). List the prime factors of x(i).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 116653980?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164505 is divided by 164395.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/12 - (-2)\/4. Let t be (-10)\/(-4) - ((-6)\/2)\/(-3). What is the second smallest value in x, 1\/3, t?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 60*k**2 - 812*k - 2686. Give d(32).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 128*s**5 - 46*s**2 wrt s?\nAnswer: 7680*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32699 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 1147.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5852, 22755, 50932, 90389, 141132, 203167, 276500?\nAnswer: 361137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2704234046?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -17*h. Let u(v) = -13*v**2 + 8*v + 8. Let n(c) = -3*c**2 - 2*c + 2. Let z(q) = -4*n(q) + u(q). What is z(f(l))?\nAnswer: -289*l**2 - 272*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272 is divided by 75?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166076\/24 - ((-120)\/300)\/((-12)\/(-5))?\nAnswer: 2, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.31045 to 1 dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 g when four letters picked without replacement from qqffqqqffgwfqqff.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 727035.4ml in litres?\nAnswer: 727.0354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(56)\/(sqrt(512)*3) - (sqrt(56)\/(sqrt(8)*2) - 2*sqrt(63))))**2.\nAnswer: 133*sqrt(7)\/4 + 129007\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 688 - 1413\/2. Let c be 1\/(-1 + 4\/3). Suppose -3*m - 100 = 2*h, -h = -c*m + 38 + 12. Calculate the common denominator of h and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 219*s + 335*s + 163*s.\nAnswer: 717*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*(n*n*n*(n\/n**31)\/n)\/n*n))\/(n**(-2)*n))\/(n\/(n**2*n))**(1\/15))**(-2\/53) assuming n is positive.\nAnswer: n**(-874\/795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-9)\/(-3) - 7) + (40 - -5). Suppose -r*f + 72 = -35*f. What is the remainder when 153 is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 103525 and 505.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5531599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2292.\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*sqrt(52) - sqrt(52))\/(-2*sqrt(4)*-5).\nAnswer: -7*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j - 7. Let p be q(-3). Let u be 10*-4*p\/10. Suppose u = 3*g - 2*g. Calculate the lowest common multiple of g and 14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 6, 66, -9 in decreasing order.\nAnswer: 66, 6, 3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/20, -2\/17, 1, -2.6?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 4)\/(14\/(-1960)). Let k = f - 278. What is the greatest common factor of k and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 627*(-124 + 155298\/1254)\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 11) to base 8\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 35*p - 76. Solve -2*s = 4*r + p, -8*r = -3*r + 2*s + 2 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -40587, -40421, -40255, -40089, -39923?\n\"Answer: 166*u - 40753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 5) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36294180898 + 0.01.\nAnswer: 36294180898.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*h - 887 - 101 = 0. Let l = 367\/7 + h. What is the second smallest value in -1\/11, l, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2318123729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**2 + 182*b + 3963. Give h(-54).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f + 1. Let w(u) = u. Let j be 6\/(-4) + (-6)\/12. Let q(z) = j*h(z) - 10*w(z). Suppose 3*p - 9 = 9. Let m(i) = -2*i - 1. Determine p*q(s) - 11*m(s).\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m**3 + m**2 + m. Let s be p(-1). Let r = -8 - -9. Suppose 4*c = s*c + r. Solve 4 = v + c for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 553 + -551. 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 a(i) = -4*i**2 + 4*i + 4. Let n(l) = -l**2 - 4*l - 2. Let b be n(-2). Let s(t) = 0 - 3*t**b + 3*t - 3 + 6. Let z be 0 - -2 - (-3)\/1. Give z*s(d) - 4*a(d).\nAnswer: d**2 - d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a century in months?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y - 11. Calculate v(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -l**3\/5 + 1383*l**2\/5 - 398991*l\/5 - 56861047\/5 = 0?\nAnswer: -103, 743","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 3)*(2*f - 4*f + 3*f)*(-2 + 0 + 3).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 164 - 158. Let g(v) be the third derivative of 0*v**3 + 1\/4*v**4 + 9*v**2 + 0 + 0*v + 0*v**5 + 1\/30*v**w. What is the second derivative of g(m) wrt m?\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 5*t**2 - 10*t**2 + 5 - 4*t + 6*t**2. Let v be n(2). Solve 2*g - 11 = -v for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2*sqrt(52) + (sqrt(52)*2 - sqrt(52)) + 3)**2.\nAnswer: -16*sqrt(13) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3167 + -3526.2. Let v = 359 + z. Which is the second smallest value? (a) v (b) 0.1 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -k + 133 - 160, 0 = -z + 4*k - 9 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 11*b**2. Let c(q) be the second derivative of 9*q + 0 + 0*q**2 + 1\/3*q**3. Give p(c(r)).\nAnswer: 44*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**3 + 1 - 59*u**2 + u**4 + 117*u**2 - 2*u**3 + 0*u**4 - 59*u**2 to f*u**3 + v*u**4 + s + y*u + o*u**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1.56 + 0.07\nAnswer: -1.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 1\/6*i**2 - 43\/6*i + 37 = 0.\nAnswer: 6, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 936 divide 2259951474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18241 - -18238. What is the closest to 1 in 0, 1.28, z, 2\/7?\nAnswer: 1.28","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 8) + (7 - 8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 684713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -55514 (base 6) to base 8\nAnswer: -17106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 11*y - 29. Let f be z(3). Suppose -h = 2*p - 19 + 14, -f*p = -5*h + 11. Solve h*v = -3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 399?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 125273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -v - 2*v + v + (v - v - 2*v)*(4 - 4 + 2) - 3 + 3 + v + 4 - 2*v - 4 - 6*v + 8*v - 4*v + (1 + 0 - 3)*(2*v - 2*v - v) as t*v + l and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9.075 - 8.5. Let p = -0.075 + w. What is the biggest value in 1\/3, 1\/6, p, -2\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -79, 6 in descending order.\nAnswer: 6, 5, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 1 + 2*f - 1. Let p(z) = 6*z**2 + 6*z**2 + 3*z**2 - 17*z**2. Determine p(v(k)).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3 + 3*t - 3*t + t. Let a be g(8). Let r(d) = -d**2 - d + 9. Let z be r(-4). Sort -2, z, a.\nAnswer: z, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**3 - 2*a**3 + a**3 + (3 + a - 3)*(2*a**2 + 0 + 0) + a**3 - a**3 - 2*a**3 - 33 - 29*a**3 + 33 + 2*a**3 + 2*a**3 - 5*a**3.\nAnswer: -29*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 10:00 AM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**2 - 4*r + 6. Let n be b(2). What is the remainder when 77 is divided by (6\/(-5))\/(n\/2100*9)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 590905822 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 11651282 and 0.2.\nAnswer: 11651282.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 25*l - 13. Calculate the smallest common multiple of 18 and i(1).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -12, -1, -4, -3\/5, -3, -43?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 23*t. Let m(q) = -14*q**2. Determine m(a(v)).\nAnswer: -7406*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 2*g**2 + 166*g - 29. Let u be m(-12). What is the second smallest value in u, 0.3, 3\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 2:03 AM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -14 - ((18 - 63) + 20)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 51, 144, 307, 546, 867, 1276, 1779?\n\"Answer: j**3 + 29*j**2 - j + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -204*p**3 - 213*p**3 + 615*p**3 - 199*p**3 - 220*p**2 - 12100*p.\nAnswer: -p*(p + 110)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -196a (base 14) to base 3.\nAnswer: -20022110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20319*s**4 - 15*s - 20312*s**4 + 3*s**3 - 7*s + 2*s**2 to the form a*s**3 + j*s**4 + b + y*s + p*s**2 and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 40)*-1795 + -5. Round s to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (1 + -3))\/(42560\/(-1856) - -23)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 4:11 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 0.11, 39, -3, -11\/4?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {w: 9, x: 5}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -3\/4 (c) 449\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.17? (a) 5 (b) -5 (c) 16 (d) -6 (e) -1.564\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10234 (base 5) in base 9?\nAnswer: 851","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 2*f - 18671, -5*f - b - 27999 = -8*f. Let q = 6204 - f. Round q to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(136)*-5)\/(-4*sqrt(200)).\nAnswer: -sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 8490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = 2*d + 2*s, d - 24 = -2*s + 27. Calculate the remainder when d is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 51 = -r - 2*i, -3*r + 218 = i. Find the third derivative of 4*a**5 + 0*a**2 + a**2 - r + 71 wrt a.\nAnswer: 240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3891*p - 10287. What is f(-3)?\nAnswer: 1386","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 57097063, 114194127, 171291191?\n\"Answer: 57097064*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -11. Let r be (-29)\/9 + 14\/63. Calculate the least common multiple of 2\/(69\/21 + r) and p.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132458299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21284 is divided by 633?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54137.\nAnswer: 43, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1136*q**2 + 1517 wrt q.\nAnswer: 2272*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -40 + 11?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -567?\nAnswer: -5\/567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4184082 (base 11) to base 12.\nAnswer: -2574b51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -1. Let l(w) = 222*w**2 + 3*w - 5. Is l(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*m + m. Let k = m + -6. Let b(o) = -o + 11. Let z be b(k). Calculate the greatest common factor of z and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - u = 43, 4*u - 9*u = -3*y + 125. Suppose 0 = 2*o - 5 - 13. Suppose -o = -2*m + 9. Calculate the greatest common divisor of m and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -570305*l + 504*l**2 + 570305*l in the form c*l + s + h*l**2 and give h.\nAnswer: 504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 993915 and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1341 by 3.\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 11. Let n(i) = -7 - 1 + 1 - l*i - 8. Let t be n(-11). What is the greatest common divisor of 28 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.489 - 0.011. Let i be 2\/75*(1 - -48). Let u = i + 2\/75. What is the second smallest value in u, w, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 22*u + 188. Let w be x(28). Suppose w = -18*b + 110. Suppose 0 = -4*h + 3*h. Does b = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 561 and 536894391?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 51 = -9*i. What is the remainder when 76 is divided by (62\/i)\/((-6 - -7)\/2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16\/16769 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(1536) - -4*sqrt(1536)*2)\/((sqrt(288) - (sqrt(288) - sqrt(288)*-2)) + sqrt(24)\/(sqrt(6)\/sqrt(2)))*-4.\nAnswer: 5 + 288*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 5. Let a(g) = -1. Suppose 2*h - 11 = -z, 0 = -5*h - z + 2 + 18. Suppose -t = h - 2. Determine t*f(n) - 5*a(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -8*t + 4*t. Let m be 18\/t*4\/(-6). Let d be 4 + -5 + -3*(-8)\/(-24). Let x(a) = 4*a - 4. Let c(w) = 3*w - 3. Give d*x(v) + m*c(v).\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/2)\/k*k\/(k\/(k**(-1\/6)\/k)))\/(k**(-3\/2)\/(k*k*((k**(2\/9)*k)\/k)\/k*k)) assuming k is positive.\nAnswer: k**(19\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-6))\/((-142)\/(-923)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -21\/3554?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2550, -5032, -7446, -9792, -12070?\nAnswer: -14280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 102 - 102. Suppose g = 4*q - 11 - 9. Solve 4 = -q*r - 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4491 is divided by 107?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1198*d**3*s**2 - 2*d**3*s - 412*s**2 with respect to d.\nAnswer: 3594*d**2*s**2 - 6*d**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 91, 143, 191, 235?\nAnswer: 275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 552 is divided by 299.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*x - 9*x + x + 2*x + 0*x - x + (4*x - 2*x + 0*x)*(1 + 0 - 2) + 0*x + x - 3*x.\nAnswer: -23*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1426 - -1425 - (0 - 46)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14256\/64)\/(-9) - -21.\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1010001010010010 (base 2) to base 9\nAnswer: -63072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t + 7. Let g be a(3). Suppose g = -0*c - 2*c. Let w(o) = -o + 4. Calculate the least common multiple of 16 and w(c).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-18)\/21*(-1663 - 10).\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 104 + 416. Let u = a + -1200. Let t = 677.19 + u. Round t to one dp.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0612767 to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/(-6))\/((-1)\/3). Suppose -3*r = r. Suppose -4*q + 4*s = 8, t*s = -q - r*q - 20. Which is the biggest value? (a) -1 (b) q (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 10673, 10675, 10677?\n\"Answer: 2*r + 10671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from spppsspppsssp. Give prob of picking 2 p.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 - 20. Suppose 0 = -3*x + a + 4. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 663, 659, 645, 615, 563, 483, 369, 215?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of 3\/10*a**5 + 5*a**2 + 0*a**4 + 0*a**3 + a + 0. Differentiate v(r) wrt r.\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4)*((-60)\/(-130) + (-4032)\/624) - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10*19\/285)\/(10\/111). Suppose -14 + 1 = z + 2*j, 15 = -5*j. Let i = l - z. Which is greater: 0.7 or i?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*x + 3344 = 9*x + 6000 for x.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*u - 21*u - 270 = 0 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -8398*w**3 + 22*w**2 + 22*w - 1. Is n(-1) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 205*d - 1311. Give j(6).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3362*q - 46623. What is t(14)?\nAnswer: 445","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/((sqrt(66)*4)\/sqrt(11)) + sqrt(84)\/(sqrt(12) + sqrt(132)\/(sqrt(11)*2 - sqrt(11))).\nAnswer: 3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14273 divided by 3.\nAnswer: 14273\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, k: 17}. Give prob of picking 1 z and 1 k.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 714 a factor of 12139847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 353.429 + -354. Let n = g + 4.308. What is n rounded to one decimal place?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176484 = 4691*n + 67448 for n.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 44 - -11363?\nAnswer: 11427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(o**4 - 12*o**4 - 3*o**4) + (6*o + 2*o**3 - o**3 - 4*o)*(3*o + o - 2*o) - 78*o**4 - 4*o**3 + 144*o**4 - 64*o**4.\nAnswer: -10*o**4 - 4*o**3 + 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 856*14\nAnswer: 11984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -28628 > -28712?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 1727*g + 643*g + 1017*g + 132*g - 167*g as w*g + j and give w.\nAnswer: 3352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (-3 + 4)) + -11 + 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/(4144\/(-111)))\/(0 - 3\/54)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 3, y: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3*k + 11. Let f(g) = 3*g + 12. What is 4*f(p) - 5*i(p)?\nAnswer: -3*p - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from llvltlvvvltvv?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -19, 152 in descending order.\nAnswer: 152, 0, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 12 = 4*z, -3*a + 172 = 4*z + 114 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -114344903\/22713 + 30\/7571. Let p = 5170 + f. Let h = p + -137. Is -1 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of 7*h**5\/60 + h**4\/12 - h**3\/3 + 1. Let y(r) be the third derivative of m(r). What is the remainder when y(2) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d - 1. Let r(f) = 18*f + 1. Let c(n) = 2*b(n) + r(n). Is c(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4484 and 219260?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/28 of a week in seconds?\nAnswer: 64800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1318 and 9905.414.\nAnswer: 8587.414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1778967691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/261)\/((-8540)\/(-315) - 27)?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7215281 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 225042, 450149, 675256, 900363, 1125470, 1350577?\nAnswer: 1575684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2240\/2640 - ((-78)\/18 + 5)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 19759, 79108, 178023, 316504, 494551, 712164, 969343?\n\"Answer: 19783*l**2 - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 145986 and 232?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 64?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - 10*y + 45. What is s(0)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.09 (b) -3 (c) 28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*j**3*q**2 - j**3 - 8*j**2*q + 112*j*q**2 - 5*q wrt q?\nAnswer: 10*j**3 + 224*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 277578.\nAnswer: 555156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -4*v**2 - 3*v. Let w(m) = -11*m**2 - 8*m. Let t(f) = -8*k(f) + 3*w(f). Let l(q) be the first derivative of -q**2 - 2. Determine t(l(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1\/29)\/(r*r*(r**(-11)\/r)\/r*r) assuming r is positive.\nAnswer: r**(289\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 5*l + 3 = 4, 0 = -4*u - 4*l + 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -897*h. Let i(b) be the second derivative of b**4\/4 + 3422*b + 2. What is i(c(l))?\nAnswer: 2413827*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5527*g + 248259 = -2491*g - 112551 for g.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g**4\/5 - 6316*g**3\/5 + 1488294*g**2\/5 + 93736224*g\/5 + 31079808\/5 = 0.\nAnswer: -51, -1\/3, 552","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 273180*a**2 - 158588 wrt a.\nAnswer: 546360*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10125 and 251114175?\nAnswer: 1255570875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 4*n**2 - 235*n + 99. Calculate j(56).\nAnswer: -517","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10 (b) 2\/9 (c) -2 (d) 1 (e) 24 (f) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-4\/7))**(-1\/25) assuming m is positive.\nAnswer: m**(-11\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 1. Let h(n) be the first derivative of 38 + 1\/2*n**4 + 0*n**2 - n - 2\/3*n**3. What is h(y) + 2*x(y)?\nAnswer: 2*y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand k - 1 + 1 - k - k + 3*k + (1 + 0 + 0)*(k - 3*k + k) - 1 + 1 - 2*k + 0 + 0 + k + (0 + 2 + 0)*(1 - 1 + 2*k) + 2*k - 2 + 2 + (6 - 2 - 2)*(-k + 1 - 1).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000023782 to seven dps.\nAnswer: 0.0000238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55062 and 279566?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -0.6, -8?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + 228. Let y(j) = 45*j - 3. Give t(y(d)).\nAnswer: -2025*d**2 + 270*d + 219","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*6\/(-171)*(-2)\/(-8).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 10*d**2 - 5*d - 3. Let u be x(9). Sort u, -1\/8, 0.5.\nAnswer: -1\/8, 0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 15 = -4*j, 0*u + 5*j - 12 = u. Suppose -u = -10*l + 37. Suppose -9*w - l*w = -221. Calculate the remainder when w is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 15, 34, 59, 90?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11160 and 1013760.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158877 is divided by 200?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38 + -20. Let g = z - 13. Suppose -g*y + 1 + 9 = 0. Solve -y*p = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.117 and 0.2?\nAnswer: 0.317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.3 - 1. Let t = 70 - 65. Which is the smallest value? (a) -3 (b) t (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/4)\/((9\/6)\/(-6 + 18)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = 2*r - 9, 190*d = 193*d - r for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -2\/7, -1, -3\/7, -6\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4815 and 4441035.\nAnswer: 1605","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 0*i**3 - 8 - 3\/2*i**4 + 0*i - 7\/2*i**2. Find the second derivative of v(f) wrt f.\nAnswer: -36*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86 - (18 - (-27 + 103)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16 + 346.\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 4) + (-4 - (-2)\/(-8)*-35)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**3 + 542445*o**2 - 1084875*o + 542435.\nAnswer: -5*(o - 108487)*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39\/(-5))\/((-1905)\/(-19050)).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 1 - (7 + -1)) + 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 36 (base 8) to base 4\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 + 8*b - 6. Let k be j(6). Suppose -5*y + 2 = -x - k, 3*y = 6. Calculate the greatest common divisor of 1 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -10, -28, -52, -82, -118, -160, -208?\n\"Answer: -3*v**2 - 9*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 3*z - 26, -3*k + 42 = 4*z - 2. Let i = 175 - z. Let u = i + -149. What is the greatest common divisor of 96 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17.99793 + 18. What is o rounded to four decimal places?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4050533547 - 2?\nAnswer: 4050533545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4)\/(-3))\/4)\/(3255\/(-279))?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3570314655.\nAnswer: 3, 5, 89, 2674393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6547600217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 4:20 PM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + 4*d + 2. Suppose -3 = -n + b - 0, b = -4*n + 12. Let t be l(n). Let p be (-1)\/(0\/(-2) + 1). Put p, t, -3 in increasing order.\nAnswer: -3, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-347556)\/(-11) - (-7 - -23) - (-1 + -6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 127873226055?\nAnswer: -127873226059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*k**5\/5 - 651*k**4\/5 + 3748*k**3 - 20688*k**2 + 162144*k\/5 + 5616\/5 = 0. What is k?\nAnswer: -26, -2\/59, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2\/6 - 620*v\/3 - 1255\/2.\nAnswer: 5*(v - 251)*(v + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -148.19 - 1.81. Let p = -159 - h. Let v be -1*(-1 + 7\/6). Sort v, p, 3 in descending order.\nAnswer: 3, v, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1136)\/3976*7\/8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 5*y - 103, 0 = -5*y - 5*i + 84 + 21. Suppose 0 = -2*w + 2 + 18. What is the remainder when y is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1739 is divided by 578.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/3*(-1 - 2). Let n be (-28)\/(-2)*(-4 + (-45)\/(-10)). Suppose -4*s + n = -b*s. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -166*n + 5. Let w be y(0). Let c(x) = -3*x - 2 + x - 2*x + 3*x. Let o be c(-8). Solve -4*r = -b + 11, -4*b + o*b + w = -r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -6)\/(-1) + -26 + (-1666)\/(-51).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-96))\/(10\/(-11137930)). Let o = m - -34803. What is the common denominator of o and 93\/8?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -282\/233189 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -92\/165 and -71\/2751?\nAnswer: 151305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*i + 20. Solve i - 2 = -d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2*s + 2*x + 9, -4*s + 3*x + 13 = 0. Let j = 1 + -1. Let y(c) = 0 + j - s + 5*c - 3. Let d(k) = -2*k + 2. Give -7*d(i) - 3*y(i).\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + 19*x + 44. Let w be s(12). Solve w*t - 8 = 414*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 6:08 AM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -179944930 rounded to the nearest one hundred thousand?\nAnswer: -179900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 22 = -2*p, 2 - 3 = -p - 2*s for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1354 and 34.\nAnswer: -4.6036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 1774\/81, 20?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 12, u: 1}. Give prob of picking 1 u and 1 b.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s + 1187 = 711 - 1360. Calculate the least common multiple of 8 and s.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of g**5\/20 - g**4\/4 + g**3\/6 - g**2 - 2*g. Let s be m(4). Let z be 15\/s + (-1)\/2. Is z >= 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 - 3) + 10*-1. What is the least common multiple of (-1210)\/(-77) - (-4)\/14 and s\/((12\/9)\/(-2))?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 10*i**2. Let p(o) = 2*o - 4. Let v be p(3). Let z(k) = -2143 + 2143 + 3*k**v. Calculate j(z(t)).\nAnswer: 90*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 1 - 2)*(4 - 3 - 2) + (1 - 4 + 1)*(-1 - 2 + 2) + 0 + 0 - 10)*(-3*b - 6 + 6).\nAnswer: 27*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -132.41 + 133. Let i = 27.41 + g. Which is the closest to -1? (a) 0.3 (b) i (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*m - 35 + 116 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112 and 53228?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - (-37 + 1)) + 4. Let d be (24\/o)\/(-2) - 214\/(-14). Is d\/(-3) + 36 - -5 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4*j + 104 = 18, -3*j = -12. Let p = i + -21. What is the lowest common multiple of p and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttlltltlll. Give prob of sequence lt.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21 or -0.0695?\nAnswer: -0.0695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -7*u + 7. Let j be r(1). Suppose 4*d + j*d - 3*m = 364, -m = 4. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35 (base 14) to base 13.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1368\/3591)\/(-1*(-1)\/(-7))\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence efe when three letters picked without replacement from {f: 1, e: 3, r: 1, g: 2, o: 4}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 5:12 PM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62358 is divided by 113?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(425) + sqrt(17))**2 + ((3*sqrt(119) - sqrt(119) - sqrt(119)) + sqrt(119) + sqrt(119))\/sqrt(7).\nAnswer: 27*sqrt(17) + 616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/12 - -1\/6. Let u = -0.17 + 0.27. Which is the nearest to u? (a) f (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 406 and 261?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((260\/(-390))\/(5\/3))\/((-260)\/(-25)).\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 313 - 155. Does 12 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-2\/7)\/l)\/l)**(1\/2))**(-7\/6)\/(((l*l**(-2\/3)*l*l)\/l)**(-32)\/((l**7\/l)\/l**(1\/3))) assuming l is positive.\nAnswer: l**(589\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bbppbmbfbfpppbpmmpbp.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -69 - -1?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10377 - -11777. What is the highest common divisor of x and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3404 - -1212?\nAnswer: -2142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3493*z**4 - 10*z**2 + 11?\nAnswer: 83832*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (992652\/16)\/(3\/8). Let v = l + 74558. What is v rounded to the nearest 10000?\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -g - 4 - 2197, -r = -g - 1099. Calculate the highest common factor of r and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -31207032, -62414070, -93621108?\n\"Answer: -31207038*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -14*q + 7. Determine f(6).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 3c67?\nAnswer: -3c66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -173\/115596 and 97\/1368.\nAnswer: 231192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/55783 and 58\/64365?\nAnswer: 836745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*t - 7*t - 75 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**2 + 183. Let j(s) = -345*s. Determine j(g(p)).\nAnswer: 690*p**2 - 63135","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of k**4\/4 - 2*k**3\/3 - k - 571. Calculate c(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -102.951 to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -137*k**3 + 6. Let t(u) = -3151*u**3 + 137. Determine 137*f(l) - 6*t(l).\nAnswer: 137*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6*17\/1581*(-13)\/13\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 818 = 2*x, 0 = 4*x + 1 + 3. Suppose 3*g = m - 19 - 9, 2*g + o = 5*m. Let y = -9 - -8. Which is the third smallest value? (a) m (b) -2\/7 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 14*t + 1. Let b be n(1). Let o = b - 13. Solve -w - 2*v + 3 = 0, 0*w + 5*w + o*v = -9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.031*5\nAnswer: -0.155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9 + 3)*(-13)\/3. Let s be (3 - b\/(-20))*5. Let t(k) = -2*k**2 + 7*k**2 - 2*k**s. Let z(d) = -d. Determine z(t(l)).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**4 + 10*x**3 + 60*x**2 - 200*x + 160.\nAnswer: -5*(x - 2)**3*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*t - 309*t - 388 - 4 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -6. Suppose -t + d = -0*t. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -16105089.\nAnswer: -16105088.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-2\/7))**50*(w**0*w)**(-34))\/(w**0\/(((w\/w**(-2\/21))\/w)\/w)*w**(-2)\/((((w**(-3)*w)\/w)\/w)\/w)) assuming w is positive.\nAnswer: w**(-46\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 15*n**2 - 26*n + 8. Let i be z(-13). Solve 16 = -i*j + 4*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.0765 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of 3*n**2 + 2 + n - 1\/3*n**3. What are the prime factors of r(5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b + 18 + 8 + 3*b - 23 in the form z*b + c and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5914921.\nAnswer: 5914921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*x - 53*x = -20510. What are the prime factors of x?\nAnswer: 2, 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 494481467.\nAnswer: 43, 53, 216973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 10*v**2 + 51*v - 35. Give p(7).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -77 + 49. Let p be -3 - x\/(12\/3). What is the first derivative of -51*u**3 - 18 + 23*u**p + 51*u**3 wrt u?\nAnswer: 92*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 170 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of c**5\/270 + c**4\/108 - 2*c**3\/27 - 7*c**2\/2 + 7*c. Let v(r) be the first derivative of a(r). Solve v(b) = 0 for b.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27.36 - -27.3. What is the third smallest value in 5, 3, q?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51, 11, -37, -93, -157, -229?\nAnswer: -309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 5 + 1 - 4 - 2*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 397680 is divided by 99413?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14a + d?\nAnswer: -13c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 33 = -25 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0102 - -0.1985. Let b = v + -0.19. Round b to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210 is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 56. Let v(m) = 4*m**2 - 2*m + 223. Give 9*o(y) - 2*v(y).\nAnswer: y**2 + 4*y + 58","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 16*g**4 + 5*g**3 + 9*g**2 - 5. Let h(t) = -8*t**4 - 3*t**3 - 4*t**2 + 3. Let v(y) = -5*h(y) - 3*i(y). Find the third derivative of v(b) wrt b.\nAnswer: -192*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 52, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6*(1\/3 + 0). Let g be -3 - (-6)\/4*f. Let y be ((-3)\/(-5))\/(g\/(-60)). Solve 4*z - 3*n - y = 2*n, 8 = 4*z - 4*n for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 13. Let k(r) = 0 + 0 - f*r. Let a(q) = 4*q - 12. Let c(p) = -3*p + 10. Let x(v) = 5*a(v) + 6*c(v). Calculate k(x(y)).\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -285 = -4*y - 3*s, 2*y + 3*s + 19 - 154 = 0. Is y a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -577878 + 0.2?\nAnswer: -577877.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 7*w**3 + 4*w - 6. Suppose -2*g - 6 = -g. Let y(z) = 20*z**3 + 11*z - 17. Give g*y(o) + 17*f(o).\nAnswer: -o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69031417.\nAnswer: 7, 13, 337, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/3 (b) 2\/5 (c) -5 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 53*o**2 - 194*o + 194*o + (-o - 2*o + 5*o)*(-3*o - 3*o + 5*o) - 4*o**2 - 2*o**2 - 9*o**2 - 8*o**2.\nAnswer: 28*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 175296 and 61586.\nAnswer: 65034816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r + 4. Calculate z(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 46 - 7 - 11265*z - 39 as d*z + u and give d.\nAnswer: -11265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 11*l - 3. Let w(x) = -10*x + 4. Let u(o) = -4*f(o) - 3*w(o). Let a(b) = -2*b. Give u(a(g)).\nAnswer: 28*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*-4*((-27)\/(-6))\/9.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2338073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of 0*b + 0*b**4 + 4*b**2 - 1\/60*b**5 + 0 + 0*b**3. Let v(t) = 3*t. What is v(c(j))?\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 11\/8 of a microgram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - -0.0321\nAnswer: 0.5321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is g in g**2\/5 - 10783*g\/5 + 6468 = 0?\nAnswer: 3, 10780","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9233962711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2735 is divided by 83?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -693 - -1062. What is the remainder when h is divided by 32?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2030201 (base 4) in base 6?\nAnswer: -105345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49 - -55. Suppose -f = 5*r - 16. Suppose 209 = 3*h + i - r*i, 5*h - 359 = -i. What are the prime factors of h?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(-3*h**2 + 3*h**2 - 2*h**4) + (4*h**2 + 0*h**2 - 5*h**2)*(2*h - 2*h + h**2) - 7*h**4 - 7*h**4 + 5*h**4.\nAnswer: -8*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 2*1*(sqrt(130)*2*-3)\/(sqrt(90) + -4*sqrt(90)))**2 + 5.\nAnswer: 32*sqrt(13)\/3 + 397\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (429\/(-26))\/((-2)\/4). Let b = l + -29. Sort b, 1, -3, -2.\nAnswer: -3, -2, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 611 divide 13397021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.9 in 2, 0.3, -1490, 4, -0.05?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tszpzzpszhhhshzzh. Give prob of picking 1 h, 1 t, and 1 s.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(4\/3))\/((-1)\/(-1)*11\/(-132))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-520)\/12 + 44)*(-45)\/(-65).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2\/2 + 153687*u + 238144689\/2.\nAnswer: -3*(u - 103227)*(u + 769)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1936\/5, 0.4, -3\/8 in increasing order.\nAnswer: -3\/8, 0.4, 1936\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -2*w. Let o be ((-10)\/5)\/(54\/(-135)). Suppose w = -s - 1, -s = -5*b - o*s + 11. What is the remainder when 15 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 10*g**2 + 2*g - 6. Let d be w(-3). Suppose -48 = -9*f + d. Let b(i) = -i**3 + 12*i**2 - 8*i + 2. Is b(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169\/160 at most as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5120367 (base 10) to base 6.\nAnswer: -301425223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 28 = y - 43, -2*y + 2 = 0. Suppose -5*n = 5, -3*r - 9*n + q*n + 20 = 0. What is the highest common divisor of r and 145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*s**4 - 2\/3*s**2 + 2*s + 0 - 2*s**3.\nAnswer: 2*s*(s - 3)*(s - 1)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*q = 26*q + 14742. Which is bigger: q or -6?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -4*k + 2. Let a = -1 + 1. Suppose 4*i + a*i = 0. Suppose -s + 6*s + 2*y + 15 = i, -10 = 5*s + y. Let d(b) = -b. What is s*u(t) + 6*d(t)?\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51 + 104. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8482, -16972, -25462, -33952, -42442, -50932?\nAnswer: -59422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2280201 is divided by 2082?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) + 5)**2 + sqrt(18)\/sqrt(9)*-6.\nAnswer: 44*sqrt(2) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (130\/52)\/((-15)\/(-54)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.17539km in micrometers?\nAnswer: 28175390000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(720))**2*4 + 6*(sqrt(5) + (0 + sqrt(80) + sqrt(5))**2).\nAnswer: 6*sqrt(5) + 3626","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {l: 2, d: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**3*y**2 + 8866*g**2*y**2 + 4760*g*y**2 + g*y + 2*g wrt g.\nAnswer: -12*g*y**2 + 17732*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1851 is divided by 592.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 92\/5 - 50\/(-500)*-190.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u - 2*u - 88*u**3.\nAnswer: -88*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 58600858*y**2 + 4*y + 363148639?\nAnswer: 117201716*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p, 1 z, and 1 d when four letters picked without replacement from ppehpdz.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10b9 (base 12) to base 5.\nAnswer: -24434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 833394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/1153 and 89\/4.\nAnswer: 4612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*z + 39*z - 44*z as v*z + y and give v.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 5*r - 2 = 0, 2*t + 16 = 4*r + r. Let s be t + (-2 - (-13)\/3). Let f = 112 - 107. What is the closest to -3 in f, s, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*f + 18 - 18)*(-4 + 3 - 2)*(-f**2 - f**2 + 5*f**2).\nAnswer: -216*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 21*i = -32 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.34 and -0.13013.\nAnswer: -0.0442442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 6 - 0. Let x be (-3)\/l*(-32)\/24. Factor 3\/2*j**2 + j**4 + 7\/2*j**3 - x - 4*j.\nAnswer: (j - 1)*(j + 2)**2*(2*j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 3*j - 3, u + 15 = -0*j + 5*j. Which is smaller: -1\/4 or u?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -30, 4, -3, -2, -11 in descending order.\nAnswer: 4, -2, -3, -11, -13, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2485 - -5173. Is 84 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 2*g**3)*(417 + 40 + 95) to the form y + j*g**2 + x*g + t*g**3 and give t.\nAnswer: -1104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 4:05 PM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/15, -1, 79.77?\nAnswer: 79.77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-416)\/24)\/(-13) + 6*3\/(-6).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -3*z, 0 = -52*z + 56*z - g + 3. What is the nearest to z in 0.1, 85\/2, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-one quarters of a kilogram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 0*o - 5*o - 20 = -39, 2*o - 7 = -481*n + 480*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 a factor of 32168256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12428094?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 342072670 to the power of 1\/4, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 407 is divided by 202?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19 - 6*a**3 + 19 + (-3*a**3 + 3*a**3 + a**3)*(86 + 20 - 34).\nAnswer: 66*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10760823.\nAnswer: 3, 398549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 3, 4, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*q - 81*q - 24 = 4*j, -3*j - 34 = -5*q. Solve 0 = 3*z + q + 1 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*i + 4*i - 7*i - 11*i - 11*i + 7*i.\nAnswer: -54*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 6*i**2 + 15*i + 124. Let b be u(-9). Suppose 5*k - b = -5*g, -5*k + g + 448 = -3*g. Is k < 90?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of 0 + 2*u**2 + 1\/2*u**3 - 2*u. Find the first derivative of c(r) wrt r.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -54 + 78. Let y = -3777 + 90755\/24. Find the common denominator of y and (-2 + 44\/l)*(-101)\/(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*z - 7*z - 2*z**2 - 5*z**2 + 3*z**2 + 9*z in the form o*z**2 + k + y*z and give y.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1239)\/11 + 232\/(-638). Put 0, 1, 4, v, -4 in decreasing order.\nAnswer: 4, 1, 0, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 193965.2 to the nearest 10000.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/207252 and -65\/24593904?\nAnswer: 73781712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 9*n**2. Let p(l) = -80*l. Determine c(p(b)).\nAnswer: 57600*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4156*c. Let q(z) = 241*z - 760*z + 258*z + 260*z. Determine j(q(h)).\nAnswer: -4156*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.34566 - -6.34. What is x rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -951 + 1049. Calculate the highest common factor of v and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -360463*p**4*q - 77*p**3*q**2 + 8*p**2*q**2 + 217*p**2*q - 394*p*q**2 wrt p.\nAnswer: -8651112*p*q - 462*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 7*s**2 + 3*s + 3. Let c(i) = 3*i**2 + 13*i + 5. Let r be c(-6). Suppose -4*m + 5*u = -52, -3*m + r = -u - 15. Let p = -12 + m. Give k(p).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 7*a - 4. Let y be i(3). Let z = -6 + y. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 1 + 127*g + 109*g - 258*g. Give z(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 607698, -177, 3 in increasing order.\nAnswer: -177, 3, 607698","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*((w*w**0\/w)\/w)\/w)**(13\/3)\/(w**3*w**(-1\/11)))\/((w**1)**(-14\/5)*(w*w*w**(1\/6)*w*w)\/(w\/(w\/(w*w**(-6))))) assuming w is positive.\nAnswer: w**(-3061\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -f (base 16) to base 2\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 353441600 to the nearest one hundred thousand.\nAnswer: 353400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 3. Let w(z) = 79*z**3 + 98*z + 447. Let a(h) = -13*h**3 - 16*h - 73. Let m(t) = 49*a(t) + 8*w(t). Determine m(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -10*w**4\/3 - w**3\/6 + w**2 - 102*w + 3. Calculate v(1).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 4 - 2 - (-7 - -11).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20304 + -14?\nAnswer: 20240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 0. Let r = u + -1. Which is bigger: r or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (204\/(-20) + 10)*11\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + 3*sqrt(1331) + sqrt(1331))**2 + (3*sqrt(11))**2*-3.\nAnswer: 21978","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 3. Let q = y + -3.7. Let f = 33 + -33.3. What is the smallest value in q, -0.4, f?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*i - 96 - 443 = 0 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 132126, 132175, 132298, 132531, 132910, 133471, 134250?\nAnswer: 135283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 198*h - 997*h + 198*h + 185*h + 208*h + 187*h.\nAnswer: -21*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 61*q - 59*q. Suppose -k + 300 = q*k. Solve -2*h + 2*m = 3*h + k, -10 = 3*h - m for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 15*i**2 - 11*i - 35. List the prime factors of v(-5).\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in -0.04, 4\/3, 1, 1\/5?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*n + 76*n + 196*n - 75*n**3 - 354*n.\nAnswer: -75*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 5*h**2 - 380*h - 376. Let z(m) = -13*m**2 + 1138*m + 1127. Let d(i) = -8*q(i) - 3*z(i). Let d(g) = 0. Calculate g.\nAnswer: -373, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5734.07142 minus -0.3?\nAnswer: 5734.37142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50541.02 meters to micrometers.\nAnswer: 50541020000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6108 to 2 decimal places.\nAnswer: -0.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.99 - 5. Let d = k - 0.02. Let g = -0.0299998 - d. What is g rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (30 - (-14 - -16)) + -10\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8273, 13137, 18001, 22865?\n\"Answer: 4864*a + 3409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 14*g**2 + 48*g - 156. Let w be z(11). Put -238, -5, w in decreasing order.\nAnswer: w, -5, -238","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**5\/7 - 32*a**4\/7 + 48*a**3\/7.\nAnswer: 4*a**3*(a - 6)*(a - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.689 - 0.511. Let w = 430 + -1277\/3. Let r = -14\/3 + w. Is g >= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -4*z**2 + 1613*z - 14574. What is a(394)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -72018 (base 9) in base 5?\nAnswer: -3004102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40621?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15046?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -100019 and 0.5.\nAnswer: -100018.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 44*j**2 + 87*j - 8. Calculate m(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5326867.027 + 5329106. Let d = 2238 - t. What is d rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99692115277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -6*a - 1. Let l be m(-2). Suppose -v + 3*f - l = f, -5*v - 27 = -3*f. Let h(d) = -2*d + 9. Let o be h(6). Is o less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39288*-5\nAnswer: 196440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/12320 and 65\/4928?\nAnswer: 24640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 204 and 18320?\nAnswer: 934320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 82*(-2 - 70\/(-28)). Solve 2*k = 4*p + 18, -43*k + i*k - 5*p = 27 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-1\/4))**(-14)*w**(-4\/11)\/w**(-10) assuming w is positive.\nAnswer: w**(-19\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 2*v. Suppose -f - 3 = -t - 8, -f + 4*t + 8 = v. Solve f*c = -13 - 7 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 5:11 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9520571 to the nearest integer?\nAnswer: 3086","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 722 is divided by 58?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(34)\/sqrt(2)*-3 - (3 + 1*sqrt(272)).\nAnswer: -3 + 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 67 = -980797*f + 980800*f, 0 = 2*f - 48 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -38 in 5, -12, -3, -2\/21?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1986 or -14\/31?\nAnswer: -14\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -9. Suppose -f*v + v = 0. Suppose -8*w + 6*w + 6 = v. Does 2 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 405 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9652 and 1143.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1240*c**2 - 1661*c wrt c?\nAnswer: -2480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2362.\nAnswer: 2, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - u + 1. Let j(y) = 2*y**3 - 2*y**2 - 6*y + 4. Let k(t) = j(t) - 3*n(t). Let i be k(0). Solve -p - 3*q + 19 = q, i = -5*p + 4*q for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176 - 4 - 3 - 0.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/5, 0.48, 2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + b - 3*s + 249 = 0, -b = 3*s + 87. What is the common denominator of (-6)\/42 - 1034\/b and 85\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*i*j**2*o + 55*i*j*o**2 - 2*j**2*o**2 + 36*j**2*o + 3*o**2 wrt i?\nAnswer: 4*j**2*o + 55*j*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/201 and 33\/10638260?\nAnswer: 31914780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*k - 49*k - 32 = 87 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1474 - -22114\/15. Suppose 2\/15*i**2 - j*i + 2\/15 = 0. Calculate i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of 181*w**7\/42 + 593*w**3\/6 + 2*w**2 + 2. What is the first derivative of f(r) wrt r?\nAnswer: 3620*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**3 - 4*a**2 - 1. Let f = 6 - 11. Let y be -1*(-1 - 0)*-4. Let b(g) = 3*g**3 + 5*g**2 + 2. Let j(o) = f*t(o) + y*b(o). Differentiate j(c) wrt c.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 33209695427 and 168.\nAnswer: 33209695595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 10*b + 7. Give a(-4).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 66519.86 decades in centuries?\nAnswer: 6651.986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15863 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2 + 2 - f**3 - 8*f**2 + f + 2. Let b be z(-8). Let h be (-6)\/(-4)*(-20)\/b. Solve -4*y + 5 = -3*s + 8*s, -2*y - 5*s = h for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 17. Let p(f) = -1. Let o(k) = -2*k**2 - 6*k + 102. Let v be o(6). Give v*s(n) + 102*p(n).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (40\/260)\/((-2)\/(-26)). Differentiate 19*y**2 - 72 - 21*y**2 - 4*y + 7*y**t with respect to y.\nAnswer: 10*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(2) - (0 + sqrt(2))*1) + (sqrt(50) + -1)**2.\nAnswer: -10*sqrt(2) + 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 3*v + 9 = 2*p, -5*v + 15 = 0. Suppose 0 = -p*q - 2*q - 4. Let w be (-15)\/(-20)*4 - q. Solve 2 = w*h + 7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1300) + sqrt(1300)*1)**2 - -4*(-1*sqrt(13) + -3 - sqrt(13)).\nAnswer: -48*sqrt(13) + 5189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 12*l + 25*l + 3*l + (1 + 2 - 1)*(-4 + 4 - l) as x*l + g and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2 = -17, -51 = -3*y + 3*u. Suppose 4*d - 4 - 48 = -3*p, -p + 44 = -4*d. Calculate the highest common divisor of p and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 46, 87, 126, 163, 198, 231, 262?\n\"Answer: -l**2 + 44*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 188730 divided by 12582.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/8)\/(l*l*l**(6\/13)))**32 assuming l is positive.\nAnswer: l**(-1076\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(3\/(3\/(1\/1)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39 + 37. Let n = 2 + -3. What is the third biggest value in n, 2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/33 and 83\/627.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*m - 78 = -103*m. Suppose -68 = -4*f + 20. Let u = f - m. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 101 + -3330?\nAnswer: -3225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 208, 735, 1806, 3607, 6324, 10143?\nAnswer: 15250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 21 (b) -0.3 (c) -5 (d) -2 (e) 0.1 (f) -1\/3 (g) 588\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 256 times 49\nAnswer: 12544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -60202, -120408, -180612, -240814?\n\"Answer: t**2 - 60209*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + 38*k**2 + 36*k + 196. Determine z(-37).\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -l**5\/2 + 2565*l**4\/4 - 292410*l**3 + 50002110*l**2 + 1473. Find c such that j(c) = 0.\nAnswer: 0, 342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 321838627?\nAnswer: 11, 29258057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 30115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 388 - 2*r**2 - 777 + 389.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 839 = 5*b - 796, -2*b - 3*t = -654. Suppose 347 - b = -5*c. Let s be (1 - -2)\/(2\/(-2)). Put s, 5, 1, c in decreasing order.\nAnswer: 5, 1, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -3 + 32 + (-18 - (-4 - 12)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37 - -48. Calculate the remainder when 30 is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 6*g + 21 = 11*g, 4*b = 3*g - 7 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - h + 20. Suppose o + 4*o + 20 = 0. Let b be 0\/(3 + 2 + o). What are the prime factors of j(b)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**16\/((v**22\/v)\/v) assuming v is positive.\nAnswer: v**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u + 1. Let n(v) = 4*v. Let w(s) = -3*l(s) - n(s). Suppose 4*o = -11 + 23. Calculate w(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-15 + (9 - -19) - ((10 - 2) + 45))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 94*v**2 - 2156*v + 204. Let j be u(19). Let m(q) = -18*q + 1. Let g be m(-3). Calculate the greatest common divisor of g and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 56*z + 357. What is the remainder when 90 is divided by y(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*g**2 + 0*g**2 + 4*g**2 + (-3*g**2 + 2*g**2 + 0*g**2)*(-20 - 102 + 1) + (0 + 2*g + 0)*(0 + 2 - 4)*(-g + 2*g + g).\nAnswer: 112*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 16649550 divided by 90\nAnswer: 184995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.995 - -2. Let y = 0.018 + n. Let u = y - 0.02. What is u rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 140*j**2 - 34586*j - 212547. Determine d(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.13865793 to four dps.\nAnswer: 0.1387","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 792 less than 3966\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/5*(-3)\/(54\/15).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/29120 and -99\/16870.\nAnswer: 7017920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*r - 54*r = -113487. List the prime factors of r.\nAnswer: 19, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8409253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2858*p - 1906 = 2812*p + 210 for p.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 395579 + -236528. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -825364 (base 11) in base 13?\nAnswer: -374cc0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 57*m**2 - 4*m - 5. Let y be s(-1). Let l = 63 - y. Calculate the remainder when 19 is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.21084*-1394.\nAnswer: -293.91096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 o when four letters picked without replacement from uoyuyo.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18464288.\nAnswer: 2, 577009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -196*g**5 - 11*g**3 - 13862*g**2 - 292987246*g?\nAnswer: -3920*g**3 - 66*g - 27724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2053\/4 >= -512?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*w - 5*k + 11 = -18*w, -4*w - k = -9 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*(o\/(o**0*o))\/o*o)**24\/(o**2\/o**1))\/((o\/o**0)**45)**(1\/12) assuming o is positive.\nAnswer: o**(173\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 390408411 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r - 2*r + 12, -d + 6 = r for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**2 - 49*k + 20. Let t be p(25). Suppose i - 3*i = 5*c - 93, i + c - t = 0. What is the highest common factor of 11 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -4. Suppose -4*q + f*r + 116 = 0, 3*q - 87 = -4*r - r. Calculate the remainder when (-16)\/(-56) - (-1186)\/14 is divided by q.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = -9*q + 448. Calculate the greatest common factor of q and 217.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3 - 63*x**2 + 1215*x - 7425.\nAnswer: (x - 33)*(x - 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -14*g + 38506. Suppose -347*n - g = -349*n. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 335*v**2 - 5800*v - 337*v**2 - 7762*v - 2437*v.\nAnswer: -2*v**2 - 15999*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 26*f*m**2*r*s + f*m**2*r - 5*m**2*r - 2*m + 5*r*s - r wrt f.\nAnswer: 26*m**2*r*s + m**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 8*g**2 - 17*g + 77. Let s be n(9). Let j(u) = u**2 - 4*u - 3. Calculate j(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 331 divide 104265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19910?\nAnswer: 2, 5, 11, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-117)\/((-46683)\/(-114))*1\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 137.8527703 + 0.1442097. Let t = 196 + -58. Let c = t - v. What is c rounded to 4 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110100 - 1?\nAnswer: 110022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1222353 (base 6) to base 8\nAnswer: -177535","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(1573) - (-5*(sqrt(1573) - (sqrt(1573) + 1 + sqrt(1573))) - sqrt(1573)))*-4 + 2*sqrt(1573) + -4 + -6*(sqrt(1573) - (sqrt(1573) + 0))))**2.\nAnswer: 78848*sqrt(13) + 4937024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -2*a**3\/3 - a. Let i(j) be the third derivative of 0*j + 0*j**3 + 13\/24*j**4 + 149*j**2 + 0. Give v(i(d)).\nAnswer: -52*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 2*q + 3 = 0, 101*q = 5*n + 97*q + 61 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -215080 to the nearest one thousand.\nAnswer: -215000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 63 - 63.01. Let v = 18 - 18.09. Let z = v + p. Which is the third smallest value? (a) z (b) 3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 2*u + 10, -3*u = 3*t - 0*u + 15. Suppose -z - 2*z + 15 = 0. Suppose t = l - z*l + 692. What are the prime factors of l?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + 1095.9594.\nAnswer: 1095.6594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of s**7\/28 - s**6\/8 - 63*s**5\/80 - 19*s**4\/16 - 5*s**3\/8 + 711*s - 1. Let v(r) = 0. What is r?\nAnswer: -1, -1\/2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(204)\/(sqrt(12)*1)*4.\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 5*w = 55, -5*w - 9 = 2*t + 16. Let s(b) = b**2 - 39*b - 4. What is the tens digit of s(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -72 + 52. Let g = -49003\/8 + 6114. Calculate the common denominator of g and 370\/d*(1*-2 - -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 78 + -55. Suppose -2*l - 13 = p, -3*l + 2*p = 2*l + 46. Let m = l + s. Calculate the highest common divisor of m and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -5*w**3 - 4*w**2 - 7*w - 39. Let l(n) = -6*n**3 - 5*n**2 - 9*n - 40. Let o(x) = -4*l(x) + 5*p(x). Does 5 divide o(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**2 - 23 + 23)*(-i**2 - 4*i**2 - 4*i**2)*(4 - 2 + 1)*(0 + 4 - 1).\nAnswer: 243*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 times -0.828?\nAnswer: 0.07452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 111384 by -306.\nAnswer: -364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.2 - -0.6. Let m = z - -0.5. Let a = m + -2.3. Round a to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 1 = -i - 2*r, 3*i = 4*r + 22. Let n(d) = 1 - 3 - 2*d + 0 + 5 + 3*d**i. Let m be n(1). Solve f + 1 = -m for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*j + 200 = 4*t, t = -4*j + 41. Let v = 61 - t. Calculate the least common multiple of v and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -118*w**2 - 71580*w + 132329251 wrt w?\nAnswer: -236*w - 71580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = -3*x - 136. Let p = x + -31. Solve 5*z - 5 = 0, -m + 1 = p*z - 5*z for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 divided by -5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**3 + 71*d**2 + 32*d - 71. Let h be y(-35). Let a = -37 + 74. Which is smaller: h or a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 10*j. Suppose -3*t = -3, 2*w + t - 17 = -j*t. What is the highest common divisor of w and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 9:40 AM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -445667 or -445482?\nAnswer: -445667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -2*f + 15. Solve 3*j = 3*k - j - f, 12 = -4*k - 4*j for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 1 = m, 0 = -3*m + 3*g - 8 - 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -289\/7 + 41. Which is the nearest to 1? (a) -1 (b) r (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2333 + 4796. Is 3 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.32 - 0.8?\nAnswer: -1.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -30*w. Let j(i) = 76*i + 118. Let b(q) = 61*q + 118. Let o(h) = -5*b(h) + 4*j(h). Determine o(d(x)).\nAnswer: 30*x - 118","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 7*q**2 - 7*q - 6. Let h be d(-6). Suppose h = 3*b + 5*i - 3*i, 3*b + 3*i = -3. Solve -19 = -b*k + 5*v, -2*k - 3*v - 8 = v for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/264 and 1\/30.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) 0.3 (c) -4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 8:10 PM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - (4 - (58 - (18 - 7)))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -267. Let t = h - -255. What is the nearest to -4\/11 in -0.4, 0, t?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 10:44 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.3, -0.08, 1, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v - 8. Let c be g(5). Solve -2*h = -c + 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 0 = 1. Let a = 17 - i. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - q = q - 18, 4 = q. Let f(o) = -o**2 - 13*o - 7. What is the units digit of f(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -l + 1. Let b = l + 4. Suppose -3*f - b*f = -140. Does 12 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 - -0.2. Let v = -1.4 + -1.6. Let l = 0.32 + -4.32. Which is the nearest to n? (a) v (b) -2\/5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 6*y + 5. Let z be i(6). Suppose -s = 5, 0 = -2*t - 5*s + 4*s - 79. Let r = -38 - t. Put -3, z, r in descending order.\nAnswer: z, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0784? (a) -1\/6 (b) -0.5 (c) -44 (d) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 241340 (base 6) in base 9?\nAnswer: 31826","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - -1. Let d = 40390 - 40386. Sort 2, d, -0.5, x in increasing order.\nAnswer: -0.5, 2, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 2*t**2 - 5*t - 4. Let w(o) = -2*o**3 - 5*o**2 - 11*o - 8. Let m(d) = 5*g(d) - 3*w(d). Factor m(p).\nAnswer: (p + 1)*(p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3 = -3*h + 2, 79 = 4*v + 3*h. Let f(t) = -t**3 - 7*t**2 + 3*t + 5. Let r be f(-5). Let i = r - -105. What is the remainder when i is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -321*n**2 - 2*n**3 + 327*n**2 + 19*n**3 wrt n?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 0*q - 2*q**2 - 3*q**3 + 4*q**3 - 2*q + 2. Let z be m(3). Let k = 112 - 110. Solve p + z = k*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -181 - -179.76. Let x = -0.3 + 0.06. Let l = t - x. What is the smallest value in -4, l, -1\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -3\/5 (b) 4\/5 (c) -34 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000110111010111 + 11?\nAnswer: -1000110111010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-5 - -9) + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 16*h**2 - 6*h + 7. Let q be p(3). Let s = q - 94. Let n be -7 + 3 + (-1 + s)\/2. Solve n = -l - 4*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*y + 8*y + 197 + 131 + 197 - 525.\nAnswer: 40*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 640, 686, 732?\n\"Answer: 46*m + 594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31827213*t**2 - 115789835*t wrt t?\nAnswer: -63654426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hzxz when four letters picked without replacement from {l: 4, h: 4, x: 1, p: 3, z: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 56007 = 4*s - 3*g, -140000 = -5*s + 5*g. Does 11 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 543*u**3*v**3 - 3*u**3*v*w**2 + 4*u**2*v**2*w + 2*u*v**3*w - 3*v**3*w**2 - 30*v**3 wrt u.\nAnswer: 3258*v**3 - 18*v*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n + 1951 - 10*n - 1950 - n.\nAnswer: -4*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 12) in base 10?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -3*b + 1. Let v be -3*(3 + 68\/12). Let o = 74 + v. What is the remainder when o is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifth of a day?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -65 - -62. Let c be ((-14)\/6 - -3)\/(112\/(-42)). What is the nearest to c in r, 7, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9681*z - 199575 = -12342*z for z.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 6*y**4\/11 - 60*y**3\/11 + 96*y**2\/11 = 0.\nAnswer: 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24095?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1048 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + k**2. Let l(o) = -2*o**3 + 5*o**3 + 21*o**2 - 20*o**2 - 4*o**3. Give -7*j(z) + 5*l(z).\nAnswer: 2*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 5 (c) 4\/7 (d) -4 (e) 11025\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -14*i + 20 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 3:12 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 3*g - 9. Let h be w(-5). Let l = h - -71. List the prime factors of l.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6368, -5, -36, -9 in ascending order.\nAnswer: -36, -9, -5, 6368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (121\/484*104\/(-13))\/(-4*(-3)\/426)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 - 14*r + 33. Let n be h(-16). Sort 5, n, 2, 3 in descending order.\nAnswer: 5, 3, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -76*b**2 + 6*b**2 - 6*b**2 + 18*b**2. Let c(p) = p + 5. Let d(k) = 2*k + 8. Let n(r) = 8*c(r) - 5*d(r). What is n(z(u))?\nAnswer: 116*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 1\/2, 827, -0.26, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -23002333 (base 5) in base 8?\nAnswer: -615314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11853703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + 39\/(-12))*4. Let t = 33 - 33.2. What is the biggest value in n, t, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1833 or -12836\/7?\nAnswer: -12836\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 1, -1\/2, 72?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 3:52 AM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 5:05 AM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -208 divided by 4\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -229902990 divided by -45980598?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 7*r**3 + 13*r**2 - 322*r. Let n(b) = -4*b**3 - 7*b**2 + 162*b. Calculate -11*n(g) - 6*w(g).\nAnswer: 2*g**3 - g**2 + 150*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/15 + -1 + 288\/5. Is (2 + -1 + -3 - -2) + d a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -18*y**4\/7 + 1140*y**3\/7 - 368*y**2\/7 - 628*y\/7 - 18 = 0.\nAnswer: -1\/3, 1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.096 + 0.129. Let i = w - 0.525. Let z be 4 - (2 - (4 + -2)). What is the closest to 4 in 2, z, i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -6*r**2 - 16 + 6*r**2 + 10*r**2. Let x(y) = y. What is i(x(j))?\nAnswer: 20*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 4*h - 40, 0*q = -0*q + q - 4 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 257225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddtttotd. What is prob of picking 1 o and 2 t?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 44408 at least 44408?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 + -5 - (-2 + 1). Let q be ((-6)\/12)\/(m\/(-2)). Let u(w) = 4 - q - 1 + w. Determine u(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 965\/193*24\/(-10)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1434545 + -1434678.925968. Let i = z - -147.9259738. Let a = i - 14. Round a to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/11, -300, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 208*d + 264 + 261 + 317*d - 525 to the form j + o*d and give o.\nAnswer: 525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/2932*(-8)\/(-6). Let x = s - -1496\/10995. What is the third smallest value in x, 1, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23443050 + 0?\nAnswer: -23443050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11522601*r**2 - 2*r + 16628790 wrt r?\nAnswer: -23045202*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4007 - 4011. Which is the second biggest value? (a) -1\/3 (b) -0.3 (c) 5 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 45816.\nAnswer: 137448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52561 is divided by 17207?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -8960514930183 + -0.01?\nAnswer: -8960514930183.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 12*g**2 - 13*g. Let s(c) = -2*c**2 + 2*c. Suppose 18*q - 3*a - 11 = 17*q, 65 = 5*q - 5*a. Suppose 37*j + 138 = q*j. Calculate j*k(x) - 39*s(x).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10668 is divided by 1512?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1))**(-33)*(h*h**(-1\/4)*h*h)**(6\/7)*(h**(2\/7)\/(h**(2\/13)\/h*h*h))\/((h**1\/h)\/h**2) assuming h is positive.\nAnswer: h**(6641\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 597 = -3*y + d, 0 = 5*y - d - 1011. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -57312*n. Let g(b) = 11*b**2. Calculate g(p(q)).\nAnswer: 36131318784*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-43)\/(-172))\/(2\/24)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1+8169765\nAnswer: 8169764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -84*c**3*g - 19*c**3*q - 2*c*g + 9*g*q**2 + 38*q**2 wrt g.\nAnswer: -84*c**3 - 2*c + 9*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 161 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 121 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -5*y**2 + 26*y. Let b(l) = -2*l. Calculate j(b(a)).\nAnswer: -20*a**2 - 52*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 11, 3, -5, 15227 in increasing order.\nAnswer: -5, 0, 3, 11, 15227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3676 is divided by 31?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03568984 to 5 dps.\nAnswer: 0.03569","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -21*i**2 - 15*i + 646. Calculate p(-6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 5*s - 31. Let u(q) = q**3 + 13*q**2 + 2*q + 20. Let r be u(-13). Let d(w) = 15*w + 82. Let j be d(r). What is the tens digit of g(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gzll when four letters picked without replacement from {g: 1, l: 2, z: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 201855 - -2?\nAnswer: 201857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*a + 22*a + 891 = p, 0 = 4*a + 12. Does 33 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -5. Suppose -20 = d*k, 16 = g - 4*k - 20. Calculate the greatest common factor of g and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-87)\/(-9)*15\/3*(-1479)\/2465.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-23)\/(368\/(-174960)) + -3?\nAnswer: 2, 3, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, n: 5, e: 6, c: 5, l: 1}. What is prob of sequence ce?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 6*h + 16. What is l(-9)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 12 + 5*m**2 + 10*m - 6*m**2 + 2. Let n be l(11). Suppose 5*y - n*b + 7*b - 7 = 0, 0 = -2*y + 5*b - 17. Which is smaller: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 4*u**2 + 3*u - 14. Let g be n(-5). What is the third smallest value in 9.2, -2, g?\nAnswer: 9.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of m**7\/21 - 2*m**6\/5 - 3*m**5\/10 + 10*m**4\/3 - 4*m**3 + 311*m. Determine l, given that s(l) = 0.\nAnswer: -2, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4 = -2*q, -4*q - 2 = o + 6. Let s = o + 3. Let m be 6 + 3\/(s\/(-2)). Solve -v + 0*v = -m for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -105885 divided by 21177\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1920 and 51718400?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 8:17 PM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -48813\nAnswer: -1\/16271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23635?\nAnswer: 5, 29, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -210 by -170.\nAnswer: 21\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1034 - -1084 - (0 - -72).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-2 - 2)*3. Let k(m) = 12*m**2 + 22*m. Let u(z) = -13*z**2 - 22*z. Let y(s) = o*u(s) - 2*k(s). What is the second derivative of y(c) wrt c?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 2*i + 93 = -12, 42 = 2*t - 2*i. What is the least common multiple of 33 and t?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (13 - (-8 - 3)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of -5*w**7\/14 - 29*w**3\/3 - 6*w**2 - 6*w. Differentiate a(f) wrt f.\nAnswer: -300*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 + 20. Let z(s) = 6*s**2 + 2*s - 2. Let d be z(h). Suppose d = p + 1. Calculate the highest common factor of p and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.2725267 days?\nAnswer: 23546306880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 13507.\nAnswer: 2\/13507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = 12*s + 88. Let k(p) = 12*p**3 - 144*p**2 + 400*p - 416. Let b(a) = 4*a**3 - 48*a**2 + 134*a - 138. Let i(x) = s*b(x) + 5*k(x). Factor i(r).\nAnswer: -4*(r - 8)*(r - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -119190 + 3?\nAnswer: -119189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 3 + 15 + (-32 - -26) + 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 2)*(5*j - 3*j - j) + 26 - 25 + 4*j - 3*j + j + 4 - 4 to the form y + z*j and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -2. Let v = 52 + -49. Which is the nearest to i? (a) v (b) 2\/11 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4546982?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -182428, -181835, -181242?\nAnswer: -180649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14\/10 - 8\/20. Let x = -3 - n. Let m be (x\/6)\/(8\/(-48)). Is 4 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1248044?\nAnswer: 2, 7, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 16) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzi when three letters picked without replacement from {z: 3, s: 4, i: 4, r: 3}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 c when four letters picked without replacement from jjjjcjjccjj?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4*2\/(-36))\/((-2750)\/(-198) + -13). Suppose -4*h - 6 = -h - 3*n, 4*n + 19 = -5*h. What is the fourth biggest value in v, -4, h, -1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6507491925?\nAnswer: 3, 5, 11, 19, 47, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-5)*(-3585770)\/(-62). Round l to the nearest 1000.\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -33, -30, -9, 42, 135, 282?\n\"Answer: 2*m**3 - 3*m**2 - 2*m - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 18*s**2 - 6*s - 53. Let x(n) = n + 7. Let k(y) = a(y) + 8*x(y). Let m(t) = 72*t**2 + 9*t + 13. Calculate -9*k(c) + 2*m(c).\nAnswer: -18*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -16668, -16669, -16670, -16671, -16672?\n\"Answer: -c - 16667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a kilometer in meters?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30663367.\nAnswer: 7, 41, 15263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 33?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -2. Let q(y) be the second derivative of y**5\/5 + y**3\/3 - y**2\/2 - 9*y. Give q(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*l, -j = -5*l - 28 - 13. Suppose -220 = -5*v + d, -j - 140 = -4*v - 4*d. What are the prime factors of v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (63\/2)\/(3\/12).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11917094*w**2 + 5*w + 471242 wrt w?\nAnswer: -23834188","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-6) + (-95)\/20\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u - 6 = -5*u, 3*h = -5*u - 4. Let a(w) = -10 - 3*w**h + 0*w + w**2 + 3*w**2 + 2*w. Is a(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2030*a**2*d - 355*a**2 - 6*a + d + 3 wrt d.\nAnswer: -2030*a**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (143*d**4 - 147*d**4 - 2*d + 9*d)*(-76*d + 163*d - 76*d).\nAnswer: -44*d**5 + 77*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 737\/(-3))*(-8 + -52). Round b to the nearest 1000.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u - 10. Let w be b(-1). Let v(a) = -7*a - 5. Let j(z) = 20*z + 16. Let d(t) = 6*j(t) + 17*v(t). Let h be d(w). Solve -5 = -5*l - h for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4*z**2 + 84*z + 34. Give d(-14).\nAnswer: -358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-5) - 1 - -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -56271 not equal to -56270?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 160428 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10011000111011001 (base 2) to base 8\nAnswer: 230731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*m + 0*m**2 - 6*m**2 + 5*m + (0 + 1 - 2)*(2*m**2 - m**2 - 3*m**2)*(-3 + 1 + 3).\nAnswer: -4*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 76, 42, -1, -2\/7, -126\/29?\nAnswer: -126\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149 + 29 = 40*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 644 divide 99276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 697555 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 264023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 0 = -3*u + 46, -3*y + 66 = 5*u. Calculate the least common multiple of 27 and u.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/(-6) + (-42)\/4. Let d = -6 - f. Is d even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 + 3852*i + 2105 - 4436 + 2378 + 3803.\nAnswer: 2*(i + 1)*(i + 1925)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 725747521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7717481?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1629622 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36 - -23. Let f = 3 + h. Let j = 9 + f. Sort j, -3, 3 in ascending order.\nAnswer: -3, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 48 - 29. Let k = 30 - b. Put 1, 1\/3, -0.1, k in ascending order.\nAnswer: -0.1, 1\/3, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1077507971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5193 (base 11) in base 9?\nAnswer: 10382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -448*y + 30 = -438*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4*z = -15, l + 5*z + 17 = 3. Which is the smallest value? (a) l (b) 5 (c) -60\/37 (d) 0.4 (e) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((9152\/(-182))\/44)\/(2*1). What is the biggest value in -0.7, 336, 1\/7, 2, i?\nAnswer: 336","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 y when two letters picked without replacement from {x: 2, o: 9, y: 3, u: 3, j: 2}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 40 = -4*a, -5*a + 50 = -0*a - 5*o. Let f be a\/60 - (525\/(-18))\/5. Differentiate -9*d + 8*d - 26 + d + f*d**2 wrt d.\nAnswer: 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/13)\/(h*h**(-1)))\/(h**2)**30)\/((((h**(-1)*h)\/h)\/h**6)\/((h*h*h\/(h*h\/h**(5\/2)))\/(h\/(h**(3\/5)*h)))) assuming h is positive.\nAnswer: h**(-6377\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5*s + 9 = 25, -5*c = -4*s + 5. Let j(x) = -x**2 - 6*x - 6. Let a(l) = -l**2 - 4*l - 4. Let d(v) = -8*a(v) + 5*j(v). Is d(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12670, 12636, 12602, 12568, 12534, 12500?\nAnswer: 12466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1875 - -3836. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 14*y**2 - 10*y + 15. Let c be 36\/4*(-1)\/(-3) + 16. Suppose 0 = 2*d - c + 5. Is n(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-226)\/(-3) + ((-32)\/12)\/8. Let f = 49 + -6. Suppose -2*x = -17 - f. Calculate the greatest common factor of d and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.360850095 to 4 decimal places.\nAnswer: -1.3609","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - (-158 - 0\/7). Let w = 159 - g. Solve 5*k + 6*o + 40 = o, k = -w*o - 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jss when three letters picked without replacement from jqqssqsssssqqsjsqs.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -161.951 - -162. Let a = 0.349 - h. Put -0.2, -0.08, -6, a in descending order.\nAnswer: a, -0.08, -0.2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -7*l**2 - 29*l - 31. Let j(i) = 39*i**2 + 173*i + 185. Let u(o) = 34*a(o) + 6*j(o). Suppose u(y) = 0. Calculate y.\nAnswer: -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19352*y + 23*y**3 - 38749*y - 6 + 19371*y + y - 2*y**3 - y + (2*y - 5*y + 2*y)*(2*y**2 - 4*y**2 + y**2).\nAnswer: 22*y**3 - 26*y - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of -1\/6*m**5 + 13*m + 0 + 4\/3*m**4 + m**2 - 4*m**3. What is d in g(d) = 0?\nAnswer: 6\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 3*b**4 - 6*b**3 + 8*b**2 - 2*b + 3. Let v(g) = 7*g**4 - 13*g**3 + 17*g**2 - 3*g + 7. Let p(w) = 15*o(w) - 6*v(w). Factor p(j).\nAnswer: 3*(j - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 443 divide 969617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5105025 (base 7) to base 5\nAnswer: -123404121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (15 - -7) + 7?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 222\nAnswer: 5\/222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + x = 23, 3*w + 4*x - 2*x - 16 = 0. Let l(k) be the first derivative of -k**2\/2 + 6*k - 3. Let s be l(w). Solve s = c - 1 - 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of s**7\/21 + s**3\/3 - s - 3. Let l(v) be the first derivative of q(v). What is the second derivative of l(y) wrt y?\nAnswer: 40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 + -29. What is the least common multiple of 58\/7 - (-10)\/(-35) and r?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 6*y - 5. Let f = 15 + -11. Let n be b(f). Solve -c = n*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 3, -51 = -4*h + 2*h - 3*i. What is the remainder when -1*2*(-284)\/8 is divided by h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2638022384 to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/3))**11)**(-1\/3)\/(r\/r**(1\/3)*r*r**(-1\/7)*(r**(-1\/5)\/r)\/r*r*r\/r**3) assuming r is positive.\nAnswer: r**(913\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.24985046 and -0.3.\nAnswer: -1.54985046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16582?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 999*y - 79464 = 975*y. Calculate the highest common divisor of 231 and y.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2716687, -5433375, -8150063, -10866751, -13583439?\n\"Answer: -2716688*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 65*u - 3. Suppose -w - 26 = -4*d + 34, -2*d + 44 = 3*w. What is the smallest common multiple of a(1) and d?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81338, -325404, -732192, -1301702, -2033934, -2928888?\nAnswer: -3986564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, w: 3, l: 4, x: 1, e: 1, m: 2}. Give prob of sequence mtx.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*x - 13 = -1553. Suppose -4*w = 2*q - q - 26, 5*q = 2*w - 24. What is the highest common factor of w and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-71)\/4)\/(2 - (-171)\/(-84)) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302916738 plus -1600?\nAnswer: 302915138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 9 = -a. Let o be -4*(-305)\/50 + 15\/25. Let m = o - a. Is m > -13\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 11:36 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8 and 0.01639.\nAnswer: -7.98361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b**2 + b - b + 0*b.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 396927 - 5?\nAnswer: 396922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1564, 3096, 4626, 6160, 7704, 9264?\n\"Answer: b**3 - 7*b**2 + 1546*b + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -490 + 2?\nAnswer: -488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 196244375?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddv when three letters picked without replacement from ddddvdvd.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 4) + (-7 + -19 - -30).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3635748 divided by -276?\nAnswer: 13173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(((((s\/(s*s*((s**(-14)*s*s*s)\/s)\/s)*s)\/s)\/s)\/s*s)\/s))**(-17)*(s**(20\/3)*s)\/s*s*s\/((s*(s\/s**(-13))\/s)\/s)*s*s*s)**(-4\/25) assuming s is positive.\nAnswer: s**(-364\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6702693 and 3091.\nAnswer: 73729623","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-2) - 36\/(-8). Suppose -b = k - 47, -b - 2*k = x - 48. Does 9 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - q. Let p(r) = -2*r**3 - 7*r**2 - 12*r + 11. Let k(b) = -3*a(b) + p(b). Suppose 4*f - 5*z - 36 = -z, 5*f - 2*z - 42 = 0. Calculate k(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r. Let a(s) = 7532930*s**2. Calculate f(a(i)).\nAnswer: 7532930*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/10*65 - (-162)\/18?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4113 is divided by 84?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p - 22. Let k(z) = 7*z**2 + 38*z - 14. Let s be k(-8). Suppose -s = 15*v - 5*v. Give r(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36758 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-28)\/4)\/7)\/(((-4)\/216)\/((-180)\/216))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -64? (a) 11\/3 (b) 1 (c) -2 (d) -2\/3 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -325566558*y**3 - 119490631*y**2 + y.\nAnswer: -1953399348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -16 + 23?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-210)\/(-55) + 2\/11. Solve 0 = w*s - s + 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 3*r - r. Suppose -2 = -5*s + 8. Suppose 0 = -2*u - u + 5*l - 25, 4*u = s*l - r. What is the common denominator of u and 59\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + i**2 - 29*i - 7. Let o(f) = -5*f + 1. Let q(g) = -l(g) + 3*o(g). What is q(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 - 31. Suppose 2*f + m = 14. Solve p = -4*g + g + 4, -f*g = 3*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 679 and 2740444.\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144 = -69590*n + 69582*n for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-44)\/3) - (-10)\/40?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 + 644*w + 3*w**2 - 4620 - w**2 + 2*w**2 + 2670.\nAnswer: 2*(w - 3)*(w + 325)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*f + 11019*f**3 + 20*f - 13*f.\nAnswer: 11019*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -123 + 221. What is the remainder when o is divided by 53?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 + 3 - 3 + (2*x - 3*x + 2*x)*(-3*x + 2*x + 2*x))*(1975*x**2 - 2712 + 2712).\nAnswer: 5925*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 10:38 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 6*r - 2. Let v(m) = 7*m - 2. Suppose 80*t - 223*t = -286. Give t*v(s) - 3*j(s).\nAnswer: -4*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/1 - 4\/(-1). Suppose 318 - 42 = o*z. Suppose 5*q - 3*r = 69, -18 = -q - 4*r + 5. What is the remainder when z is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -261585 and -42.\nAnswer: -261627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001353297 rounded to 4 decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000178102 to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 5*q**2 - 163993 + 327963 - 164001 + 8*q - 2*q**3. Give r(5).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3 + 6 + 9 - 17 - 4*r. Let k be u(-2). Which is smaller: 8 or k?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 107386?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 8*h - 16. Determine y(-5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 123566649445 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r - 4. Let z(n) = -n**3 - 5*n**2 + 8*n + 5. Let o be z(-6). Let i be s(o). Factor 6*x**3 + 9*x - 9*x**2 - 3*x**i + 23 - 26.\nAnswer: 3*(x - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 - 3707\/(-33)*33 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11204*b**2*x**3 + 8*b*x**3 - 21*b*x + 56 wrt b.\nAnswer: 22408*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - 4*b + 3. Let r(c) = -c**3 - 5*c**2 - 5*c. Let k be r(-4). Let i be p(k). Sort i, -5, 1.\nAnswer: -5, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 - 2*t)*((1 + 0 - 3)*(t - 3*t + 3*t) + 4*t - 3*t - 2*t - 4*t + t + t) + 109 + 71 - 78 - 2*t**2)*(-3 + 3 - 1).\nAnswer: -8*t**2 - 102","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/12 and 133\/107114520?\nAnswer: 107114520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(7\/5))\/c)\/(c\/c**(4\/3)) assuming c is positive.\nAnswer: c**(-16\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cicc when four letters picked without replacement from {c: 8, i: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -64 or -35.092?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -402*b**2 + 2*b + 70.\nAnswer: -804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 5*f - 5*q, 3*q = 4*f - 49 + 68 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**2 - 8131*v + 179851. Give g(22).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 + 51 - 98*a**2.\nAnswer: -98*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (12 + -7)*-1 - (-1677)\/328 and 69\/16.\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -394*b**2 + 16942*b**2 + 1375*b**2.\nAnswer: 17923*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/510*1\/(-6)*(-1430)\/(-143)*-1.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50474377 and 537353?\nAnswer: 7361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -5*n**2 - 6970*n - 1608920 = 0.\nAnswer: -1102, -292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1676876088?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/46243 and -31\/6011590.\nAnswer: 6011590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*j - 64*j + 20 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1291 is divided by 423?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -10*n - 1\/2*n**2 + 7\/4*n**3 - 1\/4*n**4 + 0 = 0.\nAnswer: -2, 0, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100\/12*27\/(-45)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -2*x + 5*l, -34*l + 2 = 4*x - 32*l for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(5 + 1*sqrt(13)) + 5)*-2)**2 - (sqrt(117) - sqrt(117)*1 - (3 + sqrt(637)))*-5.\nAnswer: 1165*sqrt(13) + 4357","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -8309.4238?\nAnswer: -41547.119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 3*r - r)*(-1 + 3 + 2).\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1443 + 1899. Does 7 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -8*g. Let f(b) = 10*b**2 - 14881*b. Calculate f(a(k)).\nAnswer: 640*k**2 + 119048*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -106 - -30. Let t = x + 382\/5. Factor -2\/5*l**4 + 2\/5*l**2 + t*l**3 - 2\/5*l + 0.\nAnswer: -2*l*(l - 1)**2*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 44 = 7*q. What is the least common multiple of 86\/2 + (-15 - (0 - 7)) and q?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -164328, -164396, -164510, -164664, -164852, -165068?\nAnswer: -165306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2147 (b) 2.9 (c) 104\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 41033 (base 10) to base 3\nAnswer: 2002021202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 19\/7 of a week?\nAnswer: 27360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 251159139 to the power of 1\/2, to the nearest integer?\nAnswer: 15848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(2\/7))**43*x*x\/x**(2\/11)*(x\/(x\/x**(-3\/8)))\/x assuming x is positive.\nAnswer: x**(19193\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 9 + 5 = 0. Let r = u - -40\/3. Let f = -24.04 - -0.04. Is f less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1bb - 180?\nAnswer: 3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 990959.\nAnswer: 29, 34171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4615 - -8817. What is the tens digit of (-2)\/(-8) - q\/(-32)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/2 and -127\/363744.\nAnswer: 363744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 4800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4231202 - 1?\nAnswer: -4231203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 484*o**2 + 16720*o + 144400 = 0 for o.\nAnswer: -190\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.99 - 5.3. Do o and 1\/9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 1:25 PM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3407 is divided by 2791.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -0.1 (b) 0.5 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zppzppppppp. What is prob of picking 1 z and 2 p?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/51)*h**9 assuming h is positive.\nAnswer: h**(457\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 6:43 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 - 18840?\nAnswer: -18846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 646 and 8349702.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-4)\/12)\/((-3)\/2259) is divided by 85?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*i**4*u**3 - 1839823*i**3*u**3 - 279*i**2*u**3 + 6*i**2*u**2 - 27*i**2*u + 2*u**3 wrt i?\nAnswer: -48*i*u**3 - 11038938*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-2 + sqrt(1700)*-4)**2 + -3)*-1.\nAnswer: -27196 - 160*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73703765, -147407533, -221111301, -294815069, -368518837, -442222605?\nAnswer: -515926373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -4. Let l = a + 21. What is the remainder when 43 is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 79 - 70. Let m be (-976)\/(-24) - 6\/y. Let c be (-10)\/(-4)*(-4)\/(-1). What is the highest common factor of m and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 10*y**2 + 14\/5*y**4 + 8\/5 - 32\/5*y - 2\/5*y**5 - 38\/5*y**3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17475 to the power of 1\/2, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(5\/6))**(1\/25))**5 assuming j is positive.\nAnswer: j**(1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1859620.7 - 83.99\nAnswer: 1859536.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-16)\/(-12))\/((-2)\/3). Let v be u\/3*-1*12. Factor 4 - 8*t**2 - 4 - 12*t**3 - v*t**4 - 2*t - 2*t**5.\nAnswer: -2*t*(t + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115541 = -10*p + 11409. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 598905.\nAnswer: 3, 5, 13309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2169*o**4 - 3*o**2 + 128.\nAnswer: 52056*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + y**2 + 3. Let d be c(0). Let j be (-1)\/(-1 + 0) + 4. Suppose -d*q + 0*q - j*v + 1 = 0, -q + v = -3. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x - 6*x + 84 = 10*c - 15*x, -6*x + x = 2*c - 2*x - 10 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 27 - (21 - -13) - (6 + -115)\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.9182 - 2.3182. Sort 9, -0.19, y, 0.17 in descending order.\nAnswer: 9, 0.17, -0.19, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 465 and ((-3)\/(-2))\/((-16)\/(-192)) + -3.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/4))**(-47)*(z**1)**(-5)*((z\/z**1)\/z*z)**(-4)*((z*z\/(z*z*z*z\/((z*z**(-3))\/z)*z))\/z)\/(z*z**(-3\/5)) assuming z is positive.\nAnswer: z**(-13\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 29697282727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 29.22593 days?\nAnswer: 2525120352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 5 (c) 0.32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 364 and 91.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3243034144 (base 5) to base 15.\nAnswer: -934bd4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1088.165m in millimeters?\nAnswer: 1088165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1525 = 1326*u + 225*u + 9332 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 15*w**2 - 394*w + 215. What is m(15)?\nAnswer: -2320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2918479.\nAnswer: 2918479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2395\/3, -2\/9, 5\/4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 210*o = 2*h + 430*o - 215*o - 99, 60*o = -5*h + 1095 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -184.970759108 and 0.651.\nAnswer: -184.319759108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 g when two letters picked without replacement from ggggggzg?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*i**3*v**3 - 3*i**3*v**2 + 154*i**3*v + 3*i**3 - 1342*i**2 - 346*v**3 wrt i?\nAnswer: 24*v**3 - 18*v**2 + 924*v + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27691*s - 27691*s + 55*s**2.\nAnswer: 55*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 150374511?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 30801 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 285511?\nAnswer: 53, 5387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 2\/2635 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + -6 + 124*1. Let n = 5 - 3. Let r be 11*1\/2*n. What is the greatest common factor of r and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-20)\/(-25)*10\/4. Let g(p) be the third derivative of 0*p + 0 + 0*p**6 + 2*p**k - 1\/840*p**7 + 1\/80*p**5 + 0*p**3 + 1\/48*p**4. Solve g(h) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/5 - 9282*n**2\/5 + 148128*n\/5 - 118400.\nAnswer: 2*(n - 4625)*(n - 8)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 324, 5, -1, -4, 4 in decreasing order.\nAnswer: 324, 5, 4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 8*f + 10. Let t(r) = 3*r + 3. Let g(h) = -11*t(h) + 4*x(h). Let b be g(4). Solve b = -d - 1 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -4. Let z(a) = 32*a + 2. Let m be z(p). Let w be 3296\/20 + (-1)\/(-5). Calculate the highest common divisor of w and m.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-8))\/(((-25)\/(-125))\/(21\/(-35)))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106326 is divided by 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 287045 is divided by 95520.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -40*(18\/16)\/(-3). Suppose g*s + 24*s = 312. Solve 4*x + 5*y + 0*y + s = 0, -x = -2*y + 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 113 = -2*f - 47. What is f rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one tenth of a kilometer?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*p - 9*p - 8 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2 + 160*m**3 + 7*m**4 + 3*m**2 - m**4 - 148*m**3 + m**5.\nAnswer: m**2*(m + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52 divided by -22982\nAnswer: -26\/11491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215 = -59*i + 1555. Calculate the greatest common divisor of i and 378.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n**2 - 15642*n + 109401. Determine f(7).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t**2 + 7*t**2 - 4*t**2)*(15*t**2 + 12*t - 12*t).\nAnswer: 120*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 14*i + 40. Determine v(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*s + 3616873 = -18*s - 280004. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 5*d + 39 = 0, 0 = -5*n + 839*d - 843*d + 27 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - a = 72, 199351*f - 46 = 199354*f + 2*a for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + x. Let p = x + -1. Let b(d) = -5*d**2 + d. Determine b(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -5*w + 22. Let c be b(5). Sort 0.3, c, 3 in increasing order.\nAnswer: c, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-17)\/(-2) + (-24)\/16 + 2. Solve j*y + 5 = 14*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1992541 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14500104 (base 7) to base 12.\nAnswer: 565703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 45.4504365ms?\nAnswer: 0.00000007514953125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 88 = -0*g. Let c = -127 + 292.1. Let b = -165 + c. Is b less than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12873887, 12873885, 12873883, 12873881, 12873879, 12873877?\nAnswer: 12873875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 686*m**3 + 28885*m - 28885*m - 22 + 22.\nAnswer: 686*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 + -21. Let r = 4 - d. Let q = -4 - -1. What is the closest to r in 1, 2\/11, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2084187622?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 6*t - 3*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -c + 5*a - 16, -5*c + 17 = a. Suppose h + 4*h - w = 6, 1 = -2*h - c*w. Sort 5, h, -2 in descending order.\nAnswer: 5, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1728428739?\nAnswer: 3, 29, 53, 374849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 + -23. What is the second biggest value in d, 2, -2\/9, -2\/11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -247.69 - -249.69. Let k be (3 - 5)\/(-1 - 1). Suppose -u + 0 = k. What is the nearest to u in w, 1, -10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*p + 470*p**4 + 455*p**4 - 954*p**4 + 0*p + 3*p**2 in the form d + z*p**4 + c*p + w*p**3 + u*p**2 and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -i**7\/210 + i**6\/45 - i**5\/30 + i**3\/2 - 5*i**2. Let b(g) be the first derivative of m(g). Factor b(d).\nAnswer: -4*d*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2932849454 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 14*l**2 - 1. Let s be o(-1). Suppose -2*c + 59 + s = 0. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/7)\/(x*(x*(x**(-8\/7)*x)\/x)\/x*x)*x**(1\/5)*((x*x**(1\/2)\/x)\/x)\/x)**(-34) assuming x is positive.\nAnswer: x**(2907\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from dhhhhhhhhhhhhvh.\nAnswer: 26\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 5 - 1063*p**3 + 10*p**2 + 2*p**4 - 6 + 1062*p**3 in the form b*p + g*p**2 + t*p**3 + x + n*p**4 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10621483*0.1.\nAnswer: 1062148.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**3 - 5*s**3 + 3*s**3)*(0*s - 3*s + 2*s)*(0 - 1 - 1)*(-4 - 1 + 4).\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176) + 2*sqrt(176) + 0 + sqrt(176) + sqrt(176) + 5 + (sqrt(275) + sqrt(275) + sqrt(275)*-3 + sqrt(11) + 2*sqrt(11) + -1)**2.\nAnswer: 50 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -112 + 110. Let i(k) = 9*k + 20. Let q be i(a). Suppose -16*c + q*c = -140. Solve -3*z - c = -z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yxyy when four letters picked without replacement from {x: 1, v: 3, k: 1, y: 7, i: 2}.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 159166340, 318332679, 477499018, 636665357, 795831696?\n\"Answer: 159166339*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -307, -2141, -7061, -16621, -32375, -55877, -88681?\nAnswer: -132341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 - (2 + 5225823\/(-1506)). Let a = m - 3465. Let u = -18065\/3514 - a. What is the common denominator of u and -113\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p**(-20)*p)*p**(-2\/5) assuming p is positive.\nAnswer: p**(98\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6614*c - 6613*c - 18 = -5*s, 2*c = 2*s for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -2*l**2 - 1\/40*l**5 + 0 - 1\/4*l**3 + 1\/8*l**4 + 0*l. Let q(z) = 0. Calculate z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.1278006 micrograms?\nAnswer: 127.8006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 5*u**2 - 1. Let w be k(5). Suppose -3*s + 4*l + 9 = 0, 0*s + 4*l - 12 = -4*s. Let d = s - w. Solve j = -3*j + d for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 40.61 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 5, 0*y + 5*a = -y + 7. Suppose 20 = y*c + 4*h - 3*h, 0 = -4*h - 8. List the prime factors of c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56924.9 + 0?\nAnswer: 56924.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36381 and 1?\nAnswer: 36381","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1584 and 144.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 4, 19, -104, 13 in increasing order.\nAnswer: -104, -7, 4, 13, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2103793?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.5517 from -3.\nAnswer: -5.5517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2324 + -1034141?\nAnswer: -1031312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 415 + -410. Let v be ((-63)\/(-7)*2\/(-6))\/(-9). Which is the closest to v? (a) -9 (b) 2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -43225*f**2 - 41286?\nAnswer: -86450*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 1:19 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 16 = -m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 12:49 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 4 + l**3 - 2 + 5*l**2 - 2 + 2. Let d be u(-5). Suppose 2*i - 3 = -3*i + 2*t, d*i = -t + 3. Is i not equal to 1\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 204565 and 251?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -4*a - g + 44, -a + 16 = -g. Suppose -w = 3*j - 3, 2*j = 2 + 2. What is the units digit of (w\/(-9))\/(1\/a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-5 + 8 - (3 + 0))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(6\/5))**(1\/16) assuming w is positive.\nAnswer: w**(3\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 28484, 28482, 28480, 28478, 28476, 28474?\n\"Answer: -2*o + 28486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i + 4*j + 32, 3*i - 5*j + 4 = 31 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/(-4)*-8*15\/50. Let t(f) = -f**3 + 5*f**2 + 7*f - 6. What is t(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 676*q - 42439. Calculate u(62).\nAnswer: -527","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(91) - sqrt(91)*-1)*-3 - 1*sqrt(91)*-4)*-1)\/((sqrt(77)*3)\/sqrt(11) - (1*sqrt(70))\/sqrt(10)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of a**6\/5 - 5*a**4\/2 - 22*a. What is the third derivative of p(z) wrt z?\nAnswer: 144*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 66\/126 - 6\/(-42). What is the closest to 2 in 3, 2\/13, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.25 (b) -11\/122 (c) -1\/4 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1015a (base 12) to base 3.\nAnswer: -1001201221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 2. Suppose 0 = -5*k - 3*z, 0 = -k + 2*z + 8 + g. Solve 0 = 3*t + 12, 2 = k*y - y - t for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 137 + 153. Suppose 2*b = -5*z + 1522, 0 = 23*z - 22*z + 4*b - j. List the prime factors of z.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/570 and -47\/171.\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2592)*1)\/sqrt(9) - sqrt(16)\/(sqrt(968)*1))**2.\nAnswer: 34322\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4704*j - 11797*j + 602905 for j.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 3*b + 4*u, -b + 25 = b + 3*u. Solve -5*z + b = -4*w, w = -z - 2*z + 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 10*z - 54. Let k be r(7). Solve -k*s + 24 = -22*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -23, -82, -241, -554, -1075, -1858, -2957?\n\"Answer: -9*u**3 + 4*u**2 - 8*u - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 - -7) + 2 + -2. Suppose 4*i = 5*j + 113, 0*j = k*i - j - 82. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-3 + 77\/(-35)) - 1?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 71*t - 75*t - 20, -2*t + o - 10 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 908 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 4*r + 1. Let o be t(-5). Let b = 6 + o. Suppose b = w - 3. Solve 3*c = -w*m - 0*c - 5, 3*c - 3 = 3*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52\/(-32))\/(((-170)\/(-10))\/(-136)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -1850.\nAnswer: 1\/925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14*(39\/(-273) + (-203)\/(-49))?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.7 - 2.3. Which is the closest to -1? (a) -3 (b) -0.1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226*s = 1252*s + 20334 - 52850 for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 11*p**3 + 5*p**2 + 1742*p. Let q(c) = -9*c**3 - 4*c**2 - 1741*c. Give 5*q(n) + 4*u(n).\nAnswer: -n**3 - 1737*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 1 + 8. Let p be 1\/(s - 10\/3). Let d be 1\/((9\/(-15))\/p). Solve -d*u - 10 = -5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 113*x**2 + 1231*x. Let d(k) = k - 350. What is b(d(o))?\nAnswer: 113*o**2 - 77869*o + 13411650","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-1\/2)*s*s)\/s*s\/s**(-8) assuming s is positive.\nAnswer: s**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -9*r. Let l(v) = 36*v**2 + 34*v - 18. Let t(y) = -65*y**2 - 67*y + 33. Let m(b) = -11*l(b) - 6*t(b). Calculate z(m(s)).\nAnswer: 54*s**2 - 252*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19333759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1545561116?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-40*w - 42*w + 4 + 75*w)*(523 + 34 + 133)*(0 + 3 - 1) to u + a*w and give a.\nAnswer: -9660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 187 and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c + 13. Let g(h) = 2*h + 14. Calculate -6*g(q) + 7*v(q).\nAnswer: 2*q + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**32)\/r**(4\/25)*(r**9\/r)\/r*r**(-2\/27) assuming r is positive.\nAnswer: r**(26842\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-59)\/((-13629)\/105)*(-16)\/10?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 6*v. Let h be a(7). Suppose -3*r = -5*g + 6, 3*r + h = -5*g + 1. Suppose g = -5*y + 1171 + 1114. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 n when three letters picked without replacement from xnnn.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56 + 61. What is the second derivative of -2*d**z - 12*d**2 + 9*d + 0*d - 8*d + 0*d + 4 wrt d?\nAnswer: -40*d**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, o: 1, n: 1}. What is prob of picking 1 f and 1 o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 7*t**3 - 5*t**2 - 10. Let a(z) = -z**3 + z**2 + 1. Calculate -6*a(b) - r(b).\nAnswer: -b**3 - b**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 - 2)*(n - 2*n - n) - 3*n + n - 6*n.\nAnswer: -14*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4 - 10 = 0. Let l = j + 1. Which is the second smallest value? (a) l (b) -2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2792 take away -0.30783972?\nAnswer: 2792.30783972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vyevyvevddyv. What is prob of picking 1 d and 2 y?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/21*-3*(-28)\/(-20)*5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37.54 - -225.\nAnswer: 262.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 581*g**4 - 2 - 584*g**4 + 2*g**3 + 3*g**2 + 1 + g as y*g**4 + r*g**2 + c*g + h + m*g**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 5, -2*l + 8 = g - 5*l. Let u(j) = -4 - 9*j + 7*j - j**2 - j**2. Let d(f) = -1. Give g*d(m) - u(m).\nAnswer: 2*m**2 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 42073750?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27091\/4835 + -3\/967. Let -2\/5*z**2 - 98\/5 + r*z = 0. Calculate z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -2*c**2 + 7\/6*c**3 - 5\/12*c**4 + 0*c + 0. What is the derivative of a(s) wrt s?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -2 - 0 - (-1 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 4*o + 25. Let s(y) = -77*y + 42*y + 38*y. What is s(c(p))?\nAnswer: 12*p + 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10494092159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38910250?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106192 is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 331, 5, 0.\nAnswer: 0, 5, 331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of l**2\/2 + l - 389. Let g(y) = -8*y - 3. What is g(u) + 6*w(u)?\nAnswer: -2*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 12197\/143, -0.3, 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 11*r**2 + 12*r + 28. Let v be f(-11). Let b = -114 - v. Let z(q) = q**2 + 9*q - 11. Calculate z(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81, 96, 137, 216, 345, 536, 801?\nAnswer: 1152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2185353 is divided by 8703.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = q - 1, -2*x - x + 12 = 0. Suppose -n - n - 4 = 0. Let d = n - -9. Solve 0 = w + q*f - 11, -w - f = -2*w - d for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of n**4\/4 - 3*n**3 + n**2\/2 + 3*n - 1. Let p(u) = 2*u - 13. Let x be p(11). List the prime factors of j(x).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 151.9, 0.5, 0.1, -0.2?\nAnswer: 151.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 204\/(-60) + (-14)\/(-10) + -1. Let y(p) = 18*p**2 + 3*p + 19. Let f(l) = -l - 1. Let s(x) = u*f(x) - y(x). What is the first derivative of s(n) wrt n?\nAnswer: -36*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 118*i**2 - 74*i - 343. Is x(-5) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 45 (b) 1 (c) 0.06375 (d) 2\/11 (e) -0.12 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 757453751 to the power of 1\/3, to the nearest integer?\nAnswer: 912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -36847997*-0.1\nAnswer: 3684799.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 276 = 6*k - 5*k + 2*c, 0 = 5*k - c - 1402. Let v(u) = u**3 - u**2 + 6*u + 40. Let g be v(0). Calculate the greatest common divisor of k and g.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 573, 1341, 2431, 3975, 6105, 8953, 12651, 17331?\n\"Answer: 22*w**3 + 29*w**2 + 527*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 12*i + 1. Let c be v(-12). Let d(z) = z + 1. Let l(r) = 3*r. Let j(u) = -2*d(u) - l(u). Let t be j(-1). Solve t*q + 7 = c for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72087, 72082, 72077, 72072, 72067?\nAnswer: 72062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000 - 11?\nAnswer: -100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - 1 - ((-89 - -36) + 52)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 2*g + 2, -g + 2 = 3*r + 6. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 - (-6 + 4*(-15)\/(-12)). Let g(p) = -p - 11. Let a be g(-9). Let m = -40 + 36. Sort a, m, y, -1\/2 in decreasing order.\nAnswer: -1\/2, a, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**2 + j + 2 - 5 + 0*j + 3*j**2. Let x be g(-3). Solve x*y + 0*y - 15 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49 and 387443.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 29*i - 1. Let o(k) = 5*k - 7. Let s(n) = 7*n - 35. Let f(b) = -5*o(b) + s(b). What is f(y(d))?\nAnswer: -522*d + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -13*b + 70. Let v be x(5). Let o be 2\/v - (-306)\/85. Solve c + 0*c + 5*i = -2, 2 = -c + o*i for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7.42 and -0.010935?\nAnswer: 7.409065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -8) + (2 - 1) + 11?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 a factor of 45108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 16, 65, 154, 289, 476, 721?\n\"Answer: a**3 + 14*a**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(((w*w\/w**5)\/w)\/w*w))*w**(-4\/9))\/((w**(-1\/3)*w)\/(w*w*w\/(w\/w**(1\/3)))))\/((w*w**0\/w*w)**11\/(w**0)**(1\/13)) assuming w is positive.\nAnswer: w**(-124\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 10 = -5*l. Let y(u) = -3 + 5 - 9*u + l - 7*u. Let a be 77\/(-33) - ((-4)\/3)\/4. Let z(p) = -5*p + 2. Calculate a*y(t) + 7*z(t).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from orehk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 5:38 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qknkoonaqannnknnaaqo. What is prob of sequence ooaq?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h*h*h**(-1\/2))**(-1\/22) assuming h is positive.\nAnswer: h**(-7\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxh when four letters picked without replacement from {x: 6, h: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + -2 - -10 - 1. Suppose -67*p = -2*p - 130. Suppose -4*r = -2*q - p, 3*r - 5*q - 10 = -26. Solve -4*v + 25 = 3*i, -r*v = -19 + h for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -12*t**2 + 2632*t + 26549. Calculate u(229).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 - 30. Let i be f\/14 - (5328\/56)\/(-18). Let y(g) = 4*g**2 + 2*g - 4. Let s(l) = -2*l**2 - l + 2. What is i*s(v) + 2*y(v)?\nAnswer: -2*v**2 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-94 - 3 - -57) + (-6 - 17)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2401*m + 4381 - 9333 = -2570*m + 6033 for m.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x + 16. Let q be g(-15). Suppose -q = -w - 3*t - 7, w + t - 18 = 0. What is the remainder when 26 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 6366833.\nAnswer: 4\/6366833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*f - 409703 = -152057. Calculate the remainder when f is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3290 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16673*o - 592150 - 413628 = -352286 + 747040 for o.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.861 times -551?\nAnswer: -474.411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-565*d**3 - 563*d**3 + 1127*d**3 - 57*d**5)*(2 - 2 + 1).\nAnswer: -57*d**5 - d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*k**2 + 121*k**2 + 294*k**2 + 249*k**2 + 0 - 2 as t*k + x*k**2 + c and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*m = -292 - 38. What is the hundreds digit of (-2184)\/(-5) + 12\/m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 186462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of c**5\/60 + c**4\/8 - 5*c**2. Let o be l(-5). Calculate the greatest common factor of o and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - o**2 + 6. Let j(v) = v**2 + 8*v + 12. Suppose -11 = 5*s + 19. Let g be j(s). What is w(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -5*x**2 - 9. What is c(3)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -3. Suppose s + 21 = 4*y, 5*y - 30 = 2*s - 0*s. Let h(v) = 6*v**3 - 5*v**2 - 4*v. Let m(r) = 5*r**3 - 4*r**2 - 3*r. Give k*h(l) + y*m(l).\nAnswer: 2*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 6 = 5*t, -4*t + m - 6 = 3*m for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 3*u - 72, 4*u = o + o - 54. Solve -18*s = -o*s - 14 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**34*i\/i**(-33))**(4\/7))**(-3\/32) assuming i is positive.\nAnswer: i**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 399 divided by -9305\nAnswer: -399\/9305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-136)\/(-102) + (-62)\/42?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 5:41 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/4 and (-15 + 8734\/539)\/(-19)?\nAnswer: 3724","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -8*y**2 - 80*y**3 + 4*y**4 + 4 + 80*y**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -3. Let w = q + 0. Suppose w*b - b + 6 = 0. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006771013769 rounded to 7 dps?\nAnswer: 0.0000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**19*v**25)\/(v**22*v*v**(-2\/95)))**(4\/7) assuming v is positive.\nAnswer: v**(-6072\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*k - 4*k, 2*d = -5*k + 37. Let y(n) = 12 + 8*n + n**2 - 2*n**2 - 18. Calculate y(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -2*v**3 - 46748*v**2 - 280434*v - 420624 = 0.\nAnswer: -23368, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -3 + (-1 - 4) + 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -380 - -375 - (3 + -3 + 2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 16 + 1 + (-29 - -23).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 = 11*s + 91. Let k(o) be the first derivative of -o**s + 1\/4*o**4 - 3\/2*o**2 + 3 - o. Calculate k(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2*y - 57 = 0. What is the tens digit of y\/2*16\/24?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 1:20 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*p - 4, 5*p - 2*w = 17 - 7. Let b = 120 + -120. Suppose -5*d - 2*c + 263 = 0, p*d + c - 4*c - 109 = b. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 71241974 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1397, -1396, -1395, -1394?\n\"Answer: z - 1398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 581033996 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1357 a factor of 30457172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddddddd. Give prob of picking 3 d.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 9 = 6. Let u be (z + 15003)\/(48\/(-72)). Let h = u + -5797. Round h to the nearest 1000.\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75.12 + -24608?\nAnswer: -24683.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52\/327 + 12545\/1308. Find the common denominator of s and 0 - (-17)\/(-12)*-5.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**3\/11 + 1262*y**2\/11 - 3800*y\/11 + 2536\/11 = 0?\nAnswer: -634, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*k**4 + 2*k**3 - 17*k**2 + 33939*k - 6.\nAnswer: 144*k**2 + 12*k - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 74801 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*((-93)\/(-6) - -3)*-4. Suppose -f - f + j = 0. What is the remainder when 145 is divided by f?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8399.79025 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1562 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 474077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -664a6b (base 13) to base 8.\nAnswer: -11142333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.693793 centuries to months.\nAnswer: 832.5516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -544545 + -0.2.\nAnswer: -544545.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.92 + -88.52. Let f = t + 92. What is f rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 5 = 2*l - 0*u, -2*l - 53 = 21*u. Sort 19, l, 1 in descending order.\nAnswer: 19, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/5, 0, -36.99?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 - 31*g - 1261. Give n(34).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 327*h - 4217 + 23845 = 3761 - 11601 for h.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -1411*y - 330. Let x be u(-6). What is the hundreds digit of (6\/3 + -3)\/((-9)\/x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3098.41836 plus -257426?\nAnswer: -254327.58164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2861, -9328, -20117, -35234, -54685?\n\"Answer: -b**3 - 2155*b**2 + 5*b - 710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 102 and 154853.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 3:41 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 854, 1732, 2610?\nAnswer: 3488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 55872031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 23 = 3. Suppose 0 = -n*w - 9 - 7. List the prime factors of (2\/w)\/(-1)*6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-2\/3)\/o)**28\/(o**2\/(o\/o**(-4\/9)*o))*((o*o**(-1\/10)\/o)\/o**5)\/(o**(1\/7)\/(o\/o**(-2)*o*o*o)) assuming o is positive.\nAnswer: o**(-11003\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*r + r**3 - 127*r**2 - 4400 + 129*r**2 + 38*r - 20*r as h*r + a*r**2 + x*r**3 + f and give f.\nAnswer: -4400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2815001085?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 200\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101111011101101011001 - -1001011?\nAnswer: -101111011101100001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*a + 1574 + 3802. Does 43 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 10:23 AM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25506 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 76*j + 1383. What is a(32)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5529, -10996, -16419, -21798?\n\"Answer: 22*f**2 - 5533*f - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 108.839 - 2.037. Let b = 105.13 + 1.87. Let m = b - i. Round m to two decimal places.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1663581 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -587 - -707. Is z a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = 5*w - 3*w. List the prime factors of -5*(w\/(-5))\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xfc when three letters picked without replacement from {d: 2, x: 1, e: 1, f: 2, c: 1, o: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(-4)\/(-4)*7\/(-1). Which is the biggest value? (a) -5 (b) u (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 = 4*i + 5*f, 10*i - 196 = 5*i + f. Let z = 7 + -7. Suppose v = -3*h + 36, -h + v + 3*v + 25 = z. What is the highest common divisor of h and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + x. Let w be u(3). Let q = w + 12. Let r be (-4)\/q + 4 + -4. Which is the biggest value? (a) r (b) -2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 58 + 18 = 0. Suppose 0*f - 620 = -q*f. Suppose 66*c - 44 = f*c. Solve -6*u + c*u = 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -22.08 and -3.\nAnswer: 66.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 2*s. Let c(q) be the second derivative of q**3\/6 - 4*q**2 + 2*q. Calculate c(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2389 - -2384. Let p = -11 + 8. Which is the nearest to p? (a) v (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/74 - (-166192)\/13912 - (61 - -1)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -65962, -64389, -62816, -61243, -59670?\n\"Answer: 1573*c - 67535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**3 - 7*k**2 - 6*k + 7. Let f be u(-5). Suppose 4*t = -f + 300. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1187, 10, -1, 5, 3 in descending order.\nAnswer: 10, 5, 3, -1, -2, -1187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-105)\/(-5)*24522\/(-7686).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -5*g - 7*g - 10*g - 8*g. Let a be x(-2). Suppose 0 = -8*q + 3*q + a. 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: Four letters picked without replacement from {l: 3, j: 4}. What is prob of sequence jllj?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/40*(-70)\/182.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + o - 12. Let k be j(0). Let x be k\/(-8)*8\/6. Find the third derivative of -d**6 + 3 - d**2 - 3 + 4*d**x wrt d.\nAnswer: -120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(182)\/sqrt(7)*-2 - (sqrt(104) + sqrt(104)*-5))\/(sqrt(98) + (sqrt(98) - sqrt(98)*3)*-5 + sqrt(98) - (-3*sqrt(98)*-3 - sqrt(98))).\nAnswer: 3*sqrt(13)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50\/45)\/(35\/168)*(-6)\/2?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1290 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -20*g**2 + 653*g - 3516. Determine t(27).\nAnswer: -465","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1465687389 and 4.\nAnswer: -1465687385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 3*n + 16, -7*c - 3*n = -2*c - 34. Suppose c*y + 5*h = 435, -5*h + 10*h + 245 = 3*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(26\/9)*u*u*u*u**6*u assuming u is positive.\nAnswer: u**(125\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*b - 5*b**2 + 12*b)*(2*b + 5*b + 0*b).\nAnswer: -35*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -0.08 (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 11:56 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iykikykiiikyi. Give prob of picking 2 i and 2 y.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2 = -j, -3*j - 5*n + 4*n = -2. Let y be (-10)\/12 - (12 - (-169)\/(169\/(-13))). Let h = 5\/63 + -2\/9. Put 0.1, y, h, j in increasing order.\nAnswer: h, 0.1, y, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -131*k + 131*k + 1144*k**2 - 872 - 1139*k**2 to j + m*k + h*k**2 and give j.\nAnswer: -872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from eeeeejee.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6561 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 2. Let t = 206 + -19. Let q = -204 + t. Sort -0.3, q, l in decreasing order.\nAnswer: l, -0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*m**2 + 12*m - 27*m + 17*m - 15*m**2.\nAnswer: -44*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t + 3877 = -7967. Let m = 84 - t. Is m a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1697 + -1639 + (-3 - 119)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**3 - 510601*p + 510601*p - 44)*(-p**2 + p**2 - 2*p**2) + 2*p**5 + 0*p**5 - 7*p**5.\nAnswer: -7*p**5 + 88*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 4626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + 2*r. Let d(a) = 4*a**2 - 5*a + 9. Let n(x) = -d(x) + 3*q(x). Calculate n(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 11. Let c be 0 + 2 + p\/(-4). Which is smaller: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 divided by -404622.\nAnswer: -49\/404622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -4*y, 8*f + f + 2*y = 5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 8*b**2 + 2*b - 16. Let t be m(8). Let z(q) = q**3 + q - 18. Let c be z(0). Let r be -2*1 - c\/8. Sort 5, t, r.\nAnswer: t, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10217000 rounded to the nearest one hundred thousand?\nAnswer: -10200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -16*h**3 - 14*h**2 - 26*h + 30. What are the prime factors of t(-6)?\nAnswer: 2, 3, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1643776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2883.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 708362 is divided by 141567?\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 113552 divided by -376?\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f + 2*f**2 + 4*f + (-2 - 8 - 4)*(-4*f + 2*f + 3*f)*(-4*f + 6*f - f).\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1510, 2978, 4356, 5644, 6842, 7950, 8968?\nAnswer: 9896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/5580 and 143\/22320.\nAnswer: 22320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 538.\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 90*z - 15565. Let v(t) = -17*t**2. Determine n(v(c)).\nAnswer: -1530*c**2 - 15565","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 26*j - 37. Find the third derivative of -20*x**2 + 30*x**2 - j + 0 + 30*x**3 wrt x.\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of 1\/12*u**5 + 1\/4*u**4 + 0 - 1\/120*u**6 + 0*u - 7*u**2 + 0*u**3. Let q be i(6). Solve 3*f = -q*f - 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*g**2*z**3 + 51*g**2*z**2 + 10367*g**2*z - 81802*g*z**3 - 2*z**3 wrt z?\nAnswer: -54*g**2 - 490812*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -100\/7. Which is bigger: s or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of i**4\/12 + 11*i**3\/6 + 10*i**2 + 33*i. Let v be r(-7). What is the fourth smallest value in -3, 3\/5, v, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 39793?\nAnswer: 39798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.3? (a) 0 (b) -7 (c) -0.4 (d) 1\/4 (e) 7\/34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -1, -4, -89, -2\/7, 506, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s. Let v(r) be the first derivative of -6 + 0*r + 0*r**2 + 4\/3*r**3. Determine d(v(b)).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 68.74 and 2.47?\nAnswer: 66.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 7. Solve c = -d*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -k - 3*w + 3, -w - 3 = 0. Suppose 6*t - 2*t = u + 24, k = -5*t - 4*u + 9. Calculate the highest common factor of 45 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(2 + 0 + 0)*(5*r**2 + 2*r - 2*r) - 2*r + 4*r**2 + 2*r.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 998.6243ns?\nAnswer: 0.9986243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -7. Let o = i - 1. Let d(q) = -3*q**3 + q - 6*q**3 - 2*q**2 + 0*q**2. Give d(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 154329?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 1957026.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.27 + -0.17. Is l <= 1407?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59 = 5*x - 39 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -22*z + 846. Give t(38).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a*a**0))*((a*a\/(a\/a**(-10)))\/a*a)\/a)\/(a\/(a**0\/a*a))**(-37) assuming a is positive.\nAnswer: a**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {o: 1, u: 2, c: 1, a: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0.07, 2, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 3*y + 7897, 3*y - 7*y = -6*a + 11854. Is 25 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + s + 40 = 0, -o + 23 + 5 = -4*s. Put -0.4, -0.04, o, -2\/7 in descending order.\nAnswer: o, -0.04, -2\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 414, 477, 584, 735, 930, 1169, 1452?\n\"Answer: 22*y**2 - 3*y + 395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from eddeuded?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 389 + -281. What is the smallest common multiple of l and 45?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3283\/3 or 0.0165?\nAnswer: 0.0165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -450 divided by -150\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) -5 (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6747.\nAnswer: 3, 13, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*l - 11 = -3*v + 1, -2 = -4*l - 2*v + 6 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -9 (b) -188 (c) -89.4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(-5) - 0) + 46\/115. Factor -d*t - 2\/5 + 1\/5*t**2.\nAnswer: (t - 2)*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 35*c**2 - 79*c - 185. Let v be q(-37). Suppose -2*b + 4*d + 25 = 3*b, 3*d = 0. Solve 5*n + k + 20 = v, 3*n + 16 - 4 = -b*k for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-372*p + 372*p + 190*p**4)*(6*p - 2*p - 2*p) + (5*p**3 + p**3 - 3*p**3)*(-2 - p**2 + 2).\nAnswer: 377*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.5 - 17.5. Let w = -19.1 - d. Suppose -2 - 13 = 3*l. Which is the nearest to w? (a) l (b) -3 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/((-234)\/68) + (1 - -3).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1226.773 nanograms to milligrams.\nAnswer: 0.001226773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8130 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6 + (4 - 3) + 466\/(-2). Let g be (s\/(-357))\/((-11)\/(-9) + -1). Solve -g*z - 5*p = 14, 2*z + 8 = -z + p for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + sqrt(153)*1)*2)\/(sqrt(90)\/(sqrt(10) + 2*sqrt(10) + sqrt(10))).\nAnswer: 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (3\/(-2))\/((-70)\/(-12) - 6) and 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 2*l - 2*l + 8, -3*l = 4*p - 11. Factor 3*t**2 + t**4 + 0*t**4 + 0*t**4 - 4*t**p.\nAnswer: t**2*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**(-4\/5))**(15\/2)\/((((v*v*v*(v\/(v\/v**(12\/11)))\/v*v*v)\/v)\/v)\/(v*(v\/(v\/(v\/(v*v**(-16)*v)))*v)\/v)) assuming v is positive.\nAnswer: v**(241\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3ba + 13?\nAnswer: 3cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -31368 to the nearest one thousand.\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 5, -66, -1, 3 in descending order.\nAnswer: 5, 3, -1, -10, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44\/105 - -2\/15. Let r = -77\/24 + 10\/3. Which is the smallest value? (a) r (b) -5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 767801 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -6597*h. Let d(c) be the second derivative of -c**3\/3 - c + 168. Calculate d(m(j)).\nAnswer: 13194*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 12*a**2 + 4. Let b be q(12). Suppose -v = -1 - b. Suppose 0 = 3*s + 3*m - 129, v*s + 2*m - m = 227. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9237813, 9237811, 9237809, 9237807?\n\"Answer: -2*r + 9237815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24 - -23)\/((-2)\/(-8)). Let v(o) = -2*o + 2 - 12 - 4 - 5*o. Let j be v(l). What is the greatest common factor of 14 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 4*p**2 - 34*p - 119. What is t(7)?\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 - -59. Let x(h) = -8*h - 5. Let k be x(-8). Suppose 4*q = -19 + k. What is the lowest common multiple of q and p?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + 1 + 28 + -21. Suppose -c*m = -2*x - 59, -16 = -2*m - 6*x + 3*x. What is the highest common factor of 33 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/16 + (-2 - -1)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of n**4\/12 - 10*n + 13. Let x(b) = 7071*b. Give v(x(w)).\nAnswer: 49999041*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250849930.\nAnswer: 2, 5, 3067, 8179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -104.09 - -109.2. Let g = -0.11 + x. Suppose -5*s + 14 = 2*w, 3*s + 0*s + 4 = 5*w. What is the nearest to s in 1\/7, 4, g?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 3*z + 2. Let b(h) = 22*h**2 - 19*h - 14. Let n(u) = b(u) + 5*c(u). Let y(f) = -675*f**2 + 99*f + 99. Determine -99*n(a) - 4*y(a).\nAnswer: 27*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19662)\/319 + (324\/(-22))\/(-9).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 + -100)\/((-3)\/(-9 - 3)). Let g = c - -390. Let w = 2 + 1. Which is smaller: w or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-208)\/112)\/((-806)\/620).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**4 + 1424*q**3 - 272286*q**2 + 15847920*q - 15577056 = 0. What is q?\nAnswer: 1, 132, 447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*b + 1369 + 27516 + 11528.\nAnswer: 11*b + 40413","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, -148, -326, -580, -916?\nAnswer: -1340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yiu when three letters picked without replacement from yiukyykyyiykyuayayya.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**2)*(((((a**(3\/19)\/a)\/a)\/a)\/a)\/a)\/a)**(-2\/7) assuming a is positive.\nAnswer: a**(298\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 1\/3, 2\/3, 4.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**2 + 0*x**2 + 61 - 39 - 99.\nAnswer: x**2 - 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/10248225 and 163\/358800.\nAnswer: 163971600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 52 + 15*r + 1\/2*r**2.\nAnswer: (r + 4)*(r + 26)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 817472 is divided by 2379.\nAnswer: 1475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -9*m + 30. Let t(f) = -f - 1. Let h(z) = 3*b(z) + 36*t(z). Let n(l) = l - 1. Let k(q) = h(q) + 54*n(q). Let j(c) = 2*c**2. Determine j(k(s)).\nAnswer: 162*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -710 + 715. Solve 0 = -m*s - 13 - 7 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 132 = 3*a, -5*n - 13959*a = -13975*a - 325 for n.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**3 - 3*m**3 + m**3 + 7 + 3*m - m**3 + 4*m**2. Determine d(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -1\/3*f**3 + 0 - 36*f + 0*f**2. Let u(z) = 11*z**2. Calculate u(q(j)).\nAnswer: 44*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 840874450?\nAnswer: 2, 5, 13, 19, 68087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cjccqchcchccccchh. Give prob of sequence jhh.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -dd26 (base 14) in base 4?\nAnswer: -21111232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 328498.54 from 161.\nAnswer: -328337.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**3\/13 + 82*f**2\/13 - 406*f\/13 - 490\/13 = 0 for f.\nAnswer: -1, 7, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n. Let c(z) = -5*z. Let v(h) = -4*c(h) - 10*r(h). Let u(o) = 3*o. What is v(u(b))?\nAnswer: -30*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 5*r**2 + r. Let v be t(5). Let y be ((-70)\/8)\/v + 1. Which is greater: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -934648 and 1?\nAnswer: -934648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 516800?\nAnswer: 2, 5, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-190)\/(-16) - 12\/(-96) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 143 and 3796?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/3))**(6\/5)*(z**(1\/5))**(-7\/5) assuming z is positive.\nAnswer: z**(3\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 177.89 - 177.39. Let l(d) = -2*d - 1. Let g be l(1). Which is the closest to q? (a) 2 (b) g (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52551.1309647 + -52228.63077. Let h = j - 322.5. Round h to 5 dps.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 5*d. Let f(q) = q. Let t(j) = 17*j. Let y(i) = -11*i. Let l(b) = -5*t(b) - 8*y(b). Let o(a) = -9*f(a) + 4*l(a). Determine o(c(r)).\nAnswer: 15*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/4 + (241\/68 - 4) - (-13 - -13).\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 10. Let n(b) be the first derivative of 7*b**3\/3 + 2*b**2 + 3*b - 1. Let y(o) = -6*o - 10*o**2 + 2 + 3 - 9. Calculate i*n(z) + 5*y(z).\nAnswer: -z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 55, 213, 475, 841?\n\"Answer: 52*j**2 + 2*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 507 + 540 = m, -5*m = -k - 252. Solve 10*j - m*j = 41 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -5*w - 17. Let p(v) = 8*v - 3. Let f(m) = -3*m + 1. Let u(r) = -6*f(r) - 2*p(r). Calculate s(u(t)).\nAnswer: -10*t - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4\/7, 1\/5, 1\/4, -2\/47, -966, 1?\nAnswer: -966","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -39033600 rounded to the nearest 1000000?\nAnswer: -39000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.42 times -9?\nAnswer: -219.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzffzz. Give prob of sequence fz.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 782 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-416*s - 411*s + 852*s + 9 + 13)*(8*s + 13*s - 8*s).\nAnswer: 325*s**2 + 286*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4 + (sqrt(20) - sqrt(980)*-2)\/(5*(sqrt(10)*-1 - sqrt(10))))*5 + 1.\nAnswer: -39 - 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*r + 43622 = -15*r. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1908, 9, 83 in decreasing order.\nAnswer: 83, 9, -5, -1908","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 5*j + 6*o - 36, 3*o - 8 = j. Suppose 0 = -j*q - 0*q + 256. Suppose 10 = -3*c + q. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10836443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**3 + 24465*k**2 - 48800*k**2 + 24335*k**2.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 7. Let w be -2 + 4\/(3 - a). Suppose z + 47400 = 3*n, -5125 + 20925 = n + w*z. What is n rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7931137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/30*0\/6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1284642 and 290.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/((-4)\/537) + 3\/(-2) is divided by 39.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37271, 74556, 111855, 149174, 186519?\nAnswer: 223896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 o when four letters picked without replacement from wosssososo.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**2. Let z = 5 + 5. Let o(h) be the first derivative of z*h - 5*h - 3 + 2*h**2 - 4*h. Determine c(o(b)).\nAnswer: 32*b**2 + 16*b + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is aa + c?\nAnswer: b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 115.24977 minutes?\nAnswer: 1.9208295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - m - 6. Let r be a(0). Let c be 3\/(-6)*r\/21. What is the nearest to -2 in -0.4, c, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -907 - -911. Suppose -d - m*x + 503 = 0, 3*d = d + 3*x + 973. Is 8 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.01 + 0.04. Let k be -5*((-20)\/(-5) + -3). Which is the nearest to -1? (a) -2\/9 (b) k (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 118.1 - 118. Which is smaller: -4\/9 or o?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 440.942 - 441. Let j = d + -1.252. What is j rounded to one dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 327205 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -0.02 (c) -32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5335724 by 1333931.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 2*k + 2 = -2*o, 4*o + 9 = 5*k. Suppose 0 = o*j - d + 140, -d + 127 = -5*j - 47. Does 7 divide ((-1)\/(-2))\/((-1)\/j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/6)\/((-5)\/100). Let j = 13 - n. Suppose 7*k + a = j*k + 41, k = -2*a + 5. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 2) to base 6\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35602939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 27, 92, 213, 408, 695, 1092, 1617?\nAnswer: 2288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-180)*-3)\/(15\/(975\/104))\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 624 - 2900. Let f = q + -7924. What is f rounded to the nearest one hundred?\nAnswer: -10200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2782896581 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - 4) + (-5 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35537, 35532, 35527, 35522, 35517?\nAnswer: 35512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 5*z = 23, -2*u + 3*z + 43 = 4. Calculate the least common multiple of 2 and ((-56)\/u)\/((-8)\/(-6) - 2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 42551, 42553, 42571, 42611, 42679, 42781, 42923, 43111?\n\"Answer: x**3 + 2*x**2 - 11*x + 42559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*m + 31*m = -84 + 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1251527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 8 = 2*b + 83, 5*b + 60 = 5*q. Suppose 0*a + q = -a. Let u = -1 - a. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 0.1. Let n = -0.01 - -0.11. Let u = 121\/4 + -30. Which is the closest to n? (a) r (b) 5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 251 divide 523856855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -514, -1, 7\/3?\nAnswer: -514","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 5*s - 29, -g - 8*s = -3*s + 21. Suppose 4*p - 103 = 3*k, g*k + 128 = 2*p + 3*p. What is the remainder when 71 is divided by p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = j + 2. Let d be -2 + j\/(-6) - 0. Which is the third biggest value? (a) -2 (b) d (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 - (3 + -7 + 3) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 422?\nAnswer: 422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-918)\/102 - 1282\/(-142))*(-2)\/4.\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/2 (b) -2 (c) -0.3 (d) -2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) - sqrt(8))*-2)\/sqrt(4) - ((sqrt(128) - (sqrt(128) + 0)) + 2).\nAnswer: -6*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 16*k**2 + 5*k + 38. What is b(16)?\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.62644 centuries in millennia?\nAnswer: 6.662644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -3*n - 4*b - 5, 4*b + 72 = 4*n. Solve 5*p + 23*l - n*l = -37, 5*p + 1 = 4*l for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 690 is divided by 71.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*w + 45301 + 10893 = 0, -m - 4*w = -18750. Suppose 5*t - 31216 = s, -4*t = -7*t + 5*s + m. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -4*v - 2. Let f(w) = -9*w - 2. Let n(x) = 27*x + 7. Let r(c) = 8*f(c) + 3*n(c). Let l(p) = 5*d(p) + 2*r(p). Let z be l(-1). Solve 2*m + z = -4 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*d = d + 132, 0 = -d - 3. Calculate the greatest common factor of v and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-165584)\/(-5240) - 24\/(-10)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kokntconoccooocok. What is prob of sequence no?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-14) + 2\/(-6)*-3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1879 - 1879. Which is the closest to z? (a) -2 (b) -55 (c) -1 (d) -2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3873 and 1364240?\nAnswer: 1368113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 178, -1\/6, -1\/7, -3695?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 5*k + 23 = 4*l - 2*l, -19*k + 15*k - 2 = -2*k for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -5*g - 6. Calculate the remainder when x(-13) is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/310 and 53\/270.\nAnswer: 8370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xdj when three letters picked without replacement from {d: 1, j: 1, x: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5 smaller than 42.08278?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 12. Suppose -3*y - 2*y = -v. Let o be (1\/y)\/((-9)\/6). What is the closest to 0.1 in 0, o, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 766214087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 98\/1963 or -1?\nAnswer: 98\/1963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqoqaqkappqqpq. Give prob of picking 1 a, 2 p, and 1 k.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*q - 11*q + 19 - 114 - 91*q**3 + 143*q**3 wrt q?\nAnswer: 312*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 161 and 791.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/624 and -61\/8.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7308 by 252.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(13)*-2*3 - sqrt(52)*-2)**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2750 - 3676 = 468*d + 4873 - 1939 for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1365 + 5 = -2*u - 5*h, 0 = 2*u + 4*h + 1374. Do 3 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffflfljfjhkf. Give prob of sequence kfh.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -179*y**3\/3 - 723*y**2\/2 - 80*y. What is the derivative of s(j) wrt j?\nAnswer: -358","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1122\/(-952) - ((-2)\/(-6))\/((-7)\/9).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (-12 + (1 - -9 - -33) - (-6 + 7)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95464933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147)\/(-1*sqrt(7)) + (sqrt(189)\/sqrt(9) + sqrt(21))*1)\/(sqrt(343)*1 - sqrt(378)\/sqrt(6)).\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 1194175 and 1194175 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 0. Suppose -2*z - 3*s + 7 = 0, 2*s = 2*z - 3*s + i. What is the derivative of -u**2 - 2*u**2 - z + 2*u**2 wrt u?\nAnswer: -2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3 - 604*n**2 - 11318*n - 10716.\nAnswer: -2*(n + 1)*(n + 19)*(n + 282)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46.8 - 315.8. Let l = 305 + c. Sort -3, 2, l in descending order.\nAnswer: l, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -326*w - 59 + 59 - 78*w.\nAnswer: -404*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*g**2 + 8\/7 + 12\/7*g - 4\/7*g**3.\nAnswer: -4*(g - 2)*(g + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1749?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209943624?\nAnswer: 2, 3, 11, 37, 21493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 92*t**2 + 57702*t - 46449. Calculate w(-628).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 324 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27692820 and 6480.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(-2310) + ((-36)\/40 - -1) + (-1925)\/147?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**2 + 15*d - 28*d + 6*d + 0 + 4 in the form s + y*d + q*d**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 30? (a) 0.03 (b) 1\/2 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 2*q + 43 = 0, 3637*y - 3638*y + 5 = -3*q for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1310 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(2 + (-8)\/4). Let i(f) = -4*f**3 + 6*f**2 - 9. Let y(a) = -a**3 + a**2. Let d(r) = i(r) - 5*y(r). What is d(g)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q = -10*q - 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*g - 79*g - 44*g - 3 + 13*g**2 + 5 - 6 + 4.\nAnswer: 13*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 34*c - 345. Calculate l(5).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 0, -8, 2\/103 in descending order.\nAnswer: 2\/103, 0, -2\/11, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1707544949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 84 - 52. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1164152244.\nAnswer: 2, 3, 43, 139, 16231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/5, 3, 1515?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 52, 663, 2362, 5671, 11112, 19207?\n\"Answer: 87*i**3 + 22*i**2 - 64*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/42 and 43\/27.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/160 and 39\/224980.\nAnswer: 1799840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cubockc. What is prob of picking 1 u and 3 c?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293 is divided by 80.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -39444 (b) 4 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + (0\/2)\/1. Suppose 0 = v + 2, 5*m - 67 = -v - 4. Solve 0 = h - 3*x - 0*x + m, a = -h + 5*x - 19 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 + 0.09. Let p = -0.1878 + 0.3. Let c = x + p. What is c rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i + 1617 - 15. Let l be ((-14)\/(-4))\/(i\/54 + 5). What is the highest common factor of 7 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6003 - -33903. Suppose -o = -21*s + 26*s. What is s rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 838.3 - 856.3. Which is the nearest to z? (a) 0.03 (b) 0 (c) -0.1 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q - 2. Let z be w(-12). Let i be 8\/(-4) - z - 1. Let g(x) = x + 2. What is the remainder when 49 is divided by g(i)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33572630 rounded to the nearest ten thousand?\nAnswer: 33570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -14435, -14746, -15057, -15368, -15679, -15990?\n\"Answer: -311*p - 14124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 4 + 40 = 0. Let t = w - 9. Suppose t = 2*d + 6. Sort d, -0.2, -5 in increasing order.\nAnswer: -5, d, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2993944061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22232 - 2?\nAnswer: -22234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -17 (b) 2 (c) 1\/4 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10208 and 7611340?\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c - 2. Let l(t) = -1. What is -4*l(i) + p(i)?\nAnswer: 3*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -3*c**5\/10 + 4*c**3\/3 + 9*c + 7. Let v(k) be the first derivative of q(k). Find the second derivative of v(s) wrt s.\nAnswer: -36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from xtxxhhxtlhxl.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1298?\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15322 - -2?\nAnswer: 15324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kpdq when four letters picked without replacement from kkdkqkpkkkqdkk.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-156)\/(-36))\/13)\/(1\/72). Calculate the highest common divisor of y and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -55286537*f**5 - 2*f + 3812810?\nAnswer: -1105730740*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 276\/14*28\/(-30)*1275\/(-510).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ywaacvccccavc. What is prob of picking 3 c?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 320 and 96?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/21 and 103\/3552.\nAnswer: 24864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5252?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + 1)*(16 + 5). Let h(y) = -y**2 + 23*y - 18. Let x be h(q). Suppose -8*z + x = -232. What is the smallest common multiple of z and 14?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 11:27 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57.6 + -57.6. Sort 631, u, 1\/6.\nAnswer: u, 1\/6, 631","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, 2\/15, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 0 = -x + 10, 3*v - 1 = 2*x for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 11*s + 3*s.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -414, -1670, -3790, -6798, -10718, -15574?\nAnswer: -21390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*o**3 - 26*o**3 + o**2 - o**2 + 3 as y*o**2 + r*o + f + u*o**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + ba218?\nAnswer: ba213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 7 - (-56 + 32 + 9)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ifxi when four letters picked without replacement from {f: 7, i: 2, w: 2, x: 1}.\nAnswer: 7\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2\/4 + 52347*f\/2 - 732711\/4.\nAnswer: -3*(f - 34891)*(f - 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*y**5 + 11138277*y**4 - 2475174*y**3 = 0.\nAnswer: -412529, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2078380052.\nAnswer: 2, 7, 74227859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -7*q**3 - 2*q**2 + q. Let y be m(1). Let d be y\/(-2)*2\/4. Let x be 0*d\/4 - -2. What is the nearest to -2 in -2\/13, x, 0.2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3 + 20140*l**2 - 680392*l + 1280256.\nAnswer: -4*(l - 5001)*(l - 32)*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -l*o**2*w - 99*l*o**2 - 7*l*o*w - 17*o*w - 3*o - 2*w wrt o?\nAnswer: -2*l*w - 198*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20709?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15895 is divided by 224.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3353 + 3422. What is the smallest common multiple of k and 1817?\nAnswer: 5451","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = k - 9. Suppose 3*d - 16 = -k. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14\/42*(-36)\/(-20)*-5*2\/(-114)\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fi when two letters picked without replacement from {f: 2, i: 2, p: 1, d: 2, u: 7, x: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eh when two letters picked without replacement from {e: 1, t: 1, h: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwkbbppkb. Give prob of picking 1 k, 1 b, and 1 w.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/2952 and 5\/21.\nAnswer: 20664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.1311 * -53\nAnswer: 6.9483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and 9.361347.\nAnswer: 9.461347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 101943 a multiple of 723?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 3*r + 14 = 2*r, r = -2. Let z = -4 - 3. Let c = z - -21. Sort k, 5, c.\nAnswer: k, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -3*r + 18, -y - 25*r + 1 = -29*r for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/5, -38\/17, -2\/19, 75\/11?\nAnswer: 75\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ohozzyzzozzooco. What is prob of sequence ch?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 15888 and 15886 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 6*n**2 - 3*n + 1. Let s be h(2). Let a(d) be the third derivative of 5*d**4\/24 - 5*d**3\/3 - 4*d**2. Let w be a(6). Is s < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -2*g - 9*c + 2504 - 2344, -3*g + 10 = -4*g + c for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 63005248249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 6*n**2 - 14*n - 4. Calculate the remainder when 178 is divided by x(4).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221630?\nAnswer: 2, 5, 37, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9130?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t + 1. Suppose -b - 23 = 13. Let y be 9\/b - 65\/(-20). Calculate p(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*v**2 - 249 - 12*v**2 + 3*v + v - 3*v + 26*v**2.\nAnswer: -3*v**2 + v - 249","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7362 and 39726.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*j**4*k - 9927*j**3*k**2 + 5*j**3 - 5*j**2*k**2 - 45*j**2 + 2*j*k + 6*k**2 + 260 wrt j.\nAnswer: 408*j*k - 59562*k**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -151*v**2 + 3074 + 3076 - 6161 + (v + 3 - 3)*(-1 + 6*v + 1).\nAnswer: -145*v**2 - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1035, -2, 6.4.\nAnswer: -2, 6.4, 1035","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 7*f**2 - 12*f + 5. Suppose -8*o = -12*o + 160. Let d = 52 - o. Is z(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45274?\nAnswer: 2, 22637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20678\/(-134407) + (-138)\/286.\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, c: 10, b: 2}. What is prob of sequence cb?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**2 - 197*t - 3209. Give o(-78).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 + 41. Solve 0*t + 3*t + b = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/4*-9*(-140)\/(-6). What is the lowest common multiple of 44 and (-160)\/12*1*d\/14?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140 - 139 + 932 - 252 - 134 - 141 - 142 + 2*p.\nAnswer: 2*p - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -84 + 80. Sort w, 0.4, -0.2, 3\/5.\nAnswer: w, -0.2, 0.4, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-3*(sqrt(420)\/sqrt(7))\/sqrt(12))**2.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 488 divide 6655832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11509.493 rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 6. Suppose 0 = h*q - 0*q - 6. Let d(z) = 5*z**3 + z - 2. Is 10 a factor of d(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/15 + (-26)\/(-6). Suppose -2*t - 10 = -3*t. Solve -t = n + v*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 16 = -3*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5, 21, 39, 59, 81, 105?\n\"Answer: j**2 + 13*j - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6286.425 seconds?\nAnswer: 6286425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h + 2*h**2 + 6*h**2 + h**2 - h**2.\nAnswer: 8*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.9 and -0.8.\nAnswer: 1.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1631, 2250, 3279, 4724, 6591?\n\"Answer: i**3 + 199*i**2 + 15*i + 1416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(3*4\/30). Suppose 2*y + c*a = 39, -4*a - 145 = -5*y + 2. Suppose -r - 11 = -4*m, 2*r + 3*m - y = -r. Is 5 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.36 - 8.5. Which is smaller: o or 0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31419 = 37*h - 31160 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 - -20. Suppose k = 3*t - 6, 4*r - 2*t = 6*r - 16. What is the remainder when 44 is divided by (10\/2)\/(2\/r)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**4 - 5*t**4 + 0*t**4)*(-4 - 2 + 4).\nAnswer: 10*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**5 - 111*q**4 + 7236*q**3 + 55392*q**2 - 2896608*q - 2944656 = 0 for q.\nAnswer: -66, -22, -1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245013.\nAnswer: 3, 81671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - l + 423623 = 4*n, -4*n - 423567 = -l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-438)\/(-4))\/(1750\/(-100) + 5 + 17)?\nAnswer: 73\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12301 - 12296. Solve 2*s = -f*g - 29, 2*g + 15 - 3 = -s for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 9*d - 111. Let f be l(0). Let q be 46\/(-161) + f\/(-21). Solve -c + 8 = -3*m, -8*c + 3*c + q*m + 20 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 44 = 46. What is the least common multiple of 26 and a?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4}. What is prob of sequence llll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 297964016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(4\/15)*u**20*(u\/((u*u**(3\/4))\/u*u*u))**(-44) assuming u is positive.\nAnswer: u**(1459\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2882, 23801, 80572, 191123, 373382?\n\"Answer: 2988*y**3 - 2*y**2 + 9*y - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3097, 12386, 27867, 49540, 77405?\nAnswer: 111462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 2*y**2 + 94*y + 54. What is the remainder when 2027 is divided by o(9)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -75*x**3 - 580*x**2 + 175*x + 120.\nAnswer: -5*(x + 8)*(3*x + 1)*(5*x - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)*3*4 + -3*(sqrt(112) - (sqrt(112) + 4)) + 1*3*(sqrt(112) + -1*sqrt(112)*-4 + sqrt(112)))**2.\nAnswer: 2880*sqrt(7) + 100944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.1 + 2.5. Sort -0.3, -6\/7, g in decreasing order.\nAnswer: g, -0.3, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/19)*m)\/(m**19\/m*m))**(-6\/19) assuming m is positive.\nAnswer: m**(2040\/361)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p - 9*z + 40 = -5*z, 0 = -2*p + 2*z + 4 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4820024.\nAnswer: 2, 11, 54773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, -15, -66, -159, -306, -519, -810?\nAnswer: -1191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 328680 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 44840029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.201 times 1\nAnswer: -0.201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 954\/108 + -9 - 2\/(-6). Let y(b) be the second derivative of -17*b - f*b**4 + 5\/3*b**3 + 6*b**2 + 0. What is m in y(m) = 0?\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15270357889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 12:25 PM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-6)*1*2*-3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from beibebxxvbxbb.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10\/27 (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 10103 (base 4) to base 14\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 185*r + 1411*r**2 - 2 - 12*r**3 + 28*r**3 - 189*r - 14*r**3 to the form t*r**2 + a*r + y*r**3 + d and give t.\nAnswer: 1411","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-84))\/((-53)\/(-477))?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/1246460 and 131\/747876.\nAnswer: 3739380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (108\/72)\/((-12)\/40).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3364 is divided by 241.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 775277, 775278, 775279?\n\"Answer: k + 775276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1616.307229 - 1616.3. Round u to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2299291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -5 - 4 - k + 4. Let q(r) = -3*r + r + 4*r**2 + 4 + 0*r**2 - r**3 + 0*r. Let y be q(4). Calculate a(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*l + 2*l - 3*l)*(2*l - 2*l - 3*l**2) + 4*l - 4*l - 2*l**3 to y*l + q + w*l**2 + r*l**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 121, 240, 359?\n\"Answer: 119*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1469461, 3, 1 in decreasing order.\nAnswer: 3, 1, -1469461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/10*(-4)\/(-1). Factor -5*b**2 - 3*b**x - 5*b**2 + 2*b + 11*b**3.\nAnswer: b*(b - 1)*(11*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-724)\/(-180) + -2 - 2. Let r = 4\/45 + n. What is the third smallest value in r, 2, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -61\/288 - 1\/96. What is the smallest value in 2\/5, -3\/4, p?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 2, -0.7, 0.4, 0.7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3929257948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-120)\/280 + (-1894)\/56. Let w = v - -34. Which is the smallest value? (a) -4 (b) w (c) -1 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12015.\nAnswer: 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 12:10 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 12, y: 2, v: 3}. Give prob of sequence vhyh.\nAnswer: 33\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 = 8*n - 0*n. What is the remainder when (-2)\/4 + (-213)\/(-6) is divided by n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 212323021130 - -1?\nAnswer: 212323021131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 5165316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/4*g**2 + 0*g + 0 - 1\/2*g**4 - 25\/8*g**3.\nAnswer: -g**2*(g + 6)*(4*g + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*n = 3*v + 8, 3*v + 2*n - 4 = 0. Suppose v = x - 0 + 1. Are x and -2\/13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*5 + -2 + 15352\/(-1818). Which is the closest to 0.1? (a) -3 (b) v (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2018352 + 1301837308\/645. Let r = -2\/129 + q. Which is the third biggest value? (a) r (b) -0.4 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -6.2.\nAnswer: -24.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/48 + 55 + (-126140)\/2240?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15328195*b**2 - 38298477*b?\nAnswer: -30656390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 9*u**2 - 10*u - 13. Let f be l(-9). Suppose -4*r + f = -135. Suppose -2*s = -r - 85. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of 7*c**6\/200 + c**5\/50 - 6*c**2. Factor t(q).\nAnswer: 3*q**2*(7*q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 11*g**3 + 8*g + 217. Let j(n) = 2*n**3 + 2*n - 4. Calculate i(k) - 6*j(k).\nAnswer: -k**3 - 4*k + 241","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4a - c?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, d: 2}. What is prob of sequence du?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*14026008.\nAnswer: -2805201.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27c33 (base 16) to base 14.\nAnswer: -434d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 9681.747um?\nAnswer: 9681747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12475207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -375 = 36*l - 41*l. List the prime factors of l.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298230 is divided by 3205?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 4*u + 1 + 19, l = 4. Suppose 2*g + 10 = -2*m - u*m, 0 = -4*m + 2*g - 20. Calculate the common denominator of 55\/6 and 3 + 2 - (-2)\/m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b + 150. Let m be k(0). Suppose 2*x - m = -3*f - 0*f, -2*f = 2*x - 102. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of h**4\/12 + 5*h**3\/6 + 2*h**2 + 21*h. Give d(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11397 and 87.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(4\/7)*(k*k\/(k\/k**(-2\/17)))\/k)**(-31)*(k*k**(1\/2))**(-16)*k**7*k*k*k**(-6) assuming k is positive.\nAnswer: k**(-4173\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-4\/5))\/(z\/(z*z**(-13))) assuming z is positive.\nAnswer: z**(-56\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -38*m**2 - 418*m - 938. Determine i(-3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 2*r + 5 + 0 = 0, -5*r = 385*s - 380*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**5\/3 - 2092*i**4\/3 + 195766*i**3 - 21045520*i**2\/3 + 202407200*i\/3 = 0. What is i?\nAnswer: 0, 20, 503","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(110) - (sqrt(110)*-3 - sqrt(110))) + sqrt(110))\/sqrt(5))\/(sqrt(16)\/(sqrt(8)*3) + sqrt(2)).\nAnswer: 9*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 1:16 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k - 1735 = -8026. What is the remainder when k is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 55.73673 and 0.5.\nAnswer: 27.868365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 634190.\nAnswer: 1\/317095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -2*l**2\/5 - 40*l - 1000 = 0?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01495257 rounded to four dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -10*x. What are the prime factors of d(-3)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4425 + 4424. Which is the fourth biggest value? (a) m (b) 0.1 (c) 24 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16194.07 rounded to the nearest ten?\nAnswer: 16190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 0.6, -480.8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/7))**(1\/54)*(n\/(n\/((n*n**1\/n)\/n)))\/n**(-2) assuming n is positive.\nAnswer: n**(379\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 5*v + 6*v + 933, -3*d - 2*d + 16*v = -d - 1356 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 45\/2 of a micrometer?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1882 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 328 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21*m**3*z - 20*m**2*z**2 - 42*m*z + 67*z**2 - 792 wrt m?\nAnswer: -63*m**2*z - 40*m*z**2 - 42*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*f**2 + 11*f**2 - 64*f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.149 - 0.133. Let u = -2.984 - n. Let l = 1 + -0.7. Which is the nearest to -2\/5? (a) u (b) l (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-7))**(3\/5))**33 assuming v is positive.\nAnswer: v**(-693\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -63*n - 8854. What is the remainder when 1130 is divided by y(-145)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1094, -1115, -1136, -1157, -1178?\nAnswer: -1199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9863371487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -9 + 4 + -2 - 7 - 0.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3261529 greater than or equal to 55446009\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 257, 241, 199, 119, -11, -203, -469?\n\"Answer: -2*p**3 - p**2 + p + 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l - 59. Let c be v(24). Suppose -9*j + c*j + 5*w = 12741, -4*w - 15957 = -5*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 87*n + 1247. Let r be x(-69). Let p(h) = 3*h**3 + 6*h - 7. Let z(s) = 3*s**3 + 5*s - 6. Calculate r*p(g) - 6*z(g).\nAnswer: -3*g**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + 19. Let t = j + -11. What is the highest common divisor of t and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140619 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*a = -60 + 96 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + 56 + 58. Is 16 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jbp when three letters picked without replacement from {p: 1, b: 3, j: 2, z: 2, m: 2, y: 2}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(1331) + 2*((sqrt(1331) - sqrt(1331)*2) + sqrt(1331)))*-1*-4)**2.\nAnswer: 532400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/5, -1, -0.3, -5, -3114, 139\/5?\nAnswer: 139\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 425869?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*f**2 - 236*f + 38*f**2 - 151*f**2 + 42*f**2 + 39*f**2 to l*f**2 + k + t*f and give t.\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -4*l + 12. Calculate i(12).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 11. Suppose 4*k - 281 = 247. Suppose -4*s = -15*s + k. Solve 3*f - 30 = 3*q, -5*q = 2*f + s + l for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3*u + 27. Let r = 26581 - 26578. What is g(r)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1490 = -114*y - 2614 for y.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 88?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 2*y - y + 32, -2*y = -f + 22. Solve -5*o + a = 6*a + f, -a = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -2, -0.4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**4 + 27*k**3 + 81*k**2 + 93*k + 36.\nAnswer: 3*(k + 1)**2*(k + 3)*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-21)*k*k\/(k**(-3\/2)\/k*k))\/(k*k**(-4)*k)**(-32))**(-3) assuming k is positive.\nAnswer: k**(483\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - m = 0. Let r be (-1)\/((-2)\/(-6)*3). Put m, r, 5 in descending order.\nAnswer: 5, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -131404, -263928, -396452, -528976, -661500, -794024?\n\"Answer: -132524*o + 1120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -898006 by 6.\nAnswer: -449003\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363)*-2*5 + (sqrt(363) - (sqrt(363) + 0 + 4))**2)*-3 - ((1 + 1*sqrt(363) - (sqrt(363)*-1*4)**2) + -1).\nAnswer: 319*sqrt(3) + 5760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/22 + (-5)\/55*-2. Let z(a) = 18*a**2 - a + 1. Calculate z(q).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x + 8 + 7 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2723 or 302150\/111?\nAnswer: 2723","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 224429?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 - ((-26)\/(-13) - -5)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/424 and -42\/125?\nAnswer: 53000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*(8\/(-2))\/28?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -154.92246798 and 0.16.\nAnswer: -154.76246798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + ((sqrt(432)*-1)\/(sqrt(1089)*-2) - (-1*sqrt(1200))\/(sqrt(20)\/(sqrt(15)\/sqrt(3)))))**2.\nAnswer: 672*sqrt(3)\/11 + 38721\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 6*i**3 - 11*i**2 + 6*i - 11. Suppose -15 = 3*h, -2*w - 2*h = -4*h + 12. Let m(d) = -2*d**3 + 4*d**2 - 2*d + 4. Give w*m(a) - 4*c(a).\nAnswer: -2*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -s**7\/560 + 9*s**6\/320 - 3*s**5\/16 + 11*s**4\/16 - 3*s**3\/2 + 30*s**2. Factor d(v).\nAnswer: -3*(v - 3)*(v - 2)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1320 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/797 (b) 15 (c) -3 (d) -5 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15.5 + 86.5. Let d = i - 49. Let v = 21.999896 - d. Round v to five dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -320*b - 685*b + 3895*b + 1590*b.\nAnswer: 4480*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 22*p + 28. Let c(g) = -7*g - 9. Suppose 27*r = 46*r + 95. Determine r*v(u) - 16*c(u).\nAnswer: 2*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -63103, -121813, -180523?\n\"Answer: -58710*z - 4393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -191 - -66. Let z = -126 - d. Let m be ((-10)\/(-25))\/(z - 14\/(-15)). Let l(q) = q + 3. What is l(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 2*y - 5. Let p be d(-9). Let x = p - 61. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 108, 120, 146, 192, 264?\n\"Answer: j**3 + j**2 + 2*j + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18441*i**2*s**2 + 14*i**2*s - 5*i*s**3 - i*s - 3441*i wrt s?\nAnswer: 36882*i**2 - 30*i*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 229454994?\nAnswer: 1835639952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + n = -0*n - 13, 4*n + 4 = 0. What is the hundreds digit of 280 - (-2 + l) - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -3 (b) -0.2 (c) 1086 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 25359, -5?\nAnswer: 25359","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by -965.\nAnswer: -14\/965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 873 - 523. Find the third derivative of 356*f**3 + a*f**3 - 702*f**3 - 123*f**2 wrt f.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145955479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 652 (base 12) to base 6.\nAnswer: 4142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 8*j + 3*q + 11 = 0, -q - 4 = -2*j. Let k(b) be the first derivative of j + 0*b - 1\/3*b**3 + 0*b**2. Let a(r) = r. Give k(a(c)).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -202049*a*x**3 - 35*a*x + 124661138*x**3 wrt a?\nAnswer: -202049*x**3 - 35*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 24 - 24 + 7*m. Is o(1) 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 g, 1 b, and 1 q when three letters picked without replacement from ggbzbzzbzqzzo?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47 - -46. List the prime factors of (-4)\/t - -95 - -3.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-8 + -2 - (-10 + 7)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 281 (c) -4 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.4, -2\/7, -1\/2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30060 and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 11:01 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 8*w**2. Suppose 207*j = 205*j + 46. Let m(h) = h**2 - 23*h + 8. Let g be m(j). Determine z(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -10*r**3 - 3*r**2 + 15*r + 28. Let o be z(-7). Let b = -1435 + o. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fjclflflcl. What is prob of sequence lc?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 16*y - 27. Calculate h(14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34260*g - 1795*g + 12085*g + 901*g.\nAnswer: 45451*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*(-4)\/6*-1. Suppose -c - 4*c = 5*f - 5, 0 = f - 5*c - 31. Factor -5*p + p**2 - f + x*p + 8.\nAnswer: (p - 2)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -109*n**3 - 7*n**2 - 5*n - 7. Let f(p) = -109*p**3 - 6*p**2 - 4*p - 6. Calculate 7*f(i) - 6*r(i).\nAnswer: -109*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 150507905 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 1180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -234 and 105590.57264.\nAnswer: 105356.57264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a year in months?\nAnswer: 57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -10*d**5\/7 - 274*d**4 - 60468*d**3\/7 - 50072*d**2 - 67760*d = 0.\nAnswer: -154, -154\/5, -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -92, -100, -108, -116, -124, -132?\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1748\/2471 or 1?\nAnswer: 1748\/2471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + 1\/(-1) - 11. Let p(g) = g**3 - 14*g**2 - 17*g + 34. Let t(q) = -4*q - 65. Let f be t(-20). Let j be p(f). Sort -2, w, j.\nAnswer: w, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + 0\/(-2) + -11. Let i be 4*1\/(-2) - u. Suppose 0 = 3*f + i - 15. Solve -4 = 4*m - f*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 76 and 91750?\nAnswer: 3486500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j + 60. Let s be r(-10). Suppose s*k + 87215 = 55*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -949*g**4\/4 + 14*g**3\/3 - 9*g**2\/2 + 1007. Find the third derivative of m(y) wrt y.\nAnswer: -5694","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112120012 (base 3) in base 16?\nAnswer: 2978","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 4620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5d + b?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 6*n**3 - 823*n**2 - 5*n. Let h(o) = 9*o**3 - 1645*o**2 - 9*o. Determine 3*h(p) - 5*k(p).\nAnswer: -3*p**3 - 820*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/23)\/o)\/(o**(-5)\/o) assuming o is positive.\nAnswer: o**(117\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -207\/1127258?\nAnswer: -207\/1127258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of p**6\/40 + 9*p**5\/20 - 21*p**4\/8 + 11*p**3\/2 + 41*p**2. Determine s, given that a(s) = 0.\nAnswer: -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*c - 22*c + 21940. Let a = c - -52589\/12. What is the common denominator of a and 35\/34?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + n + 250 = 2*h, 2*h - 240 = -4*n. Let w = 30 + h. What is the highest common factor of w and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44834 and 348?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17940 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*i + 26*i + 19*i - 71*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4 + 2*sqrt(2).\nAnswer: -6 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 76 - 257. Let t = n - -327. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 15) to base 4\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 at least as big as 5289\/187?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 11:57 PM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -33653, -67607, -101561, -135515, -169469?\n\"Answer: -33954*w + 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 23 = -3*j, -3*j + 0*j = 3*u + 21. Let t be (2 - -1)*(-2)\/j. What is the highest common factor of 3 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 105.963 - -0.037. Let v = -104.57 + g. Round v to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/((-10)\/6) - -267728. Let h = 389731 - o. What is h rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - -2 - (-13 - (-8 - -2))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3849 - 3853. Which is the nearest to -2? (a) 1 (b) k (c) 1\/4 (d) 0.49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ue when two letters picked without replacement from {g: 5, u: 2, e: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 4:04 AM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 12*x**2 + 13*x + 5. Let b(r) = -13*r. Let g be b(1). Let p be m(g). Solve -2*n + 2*w - 5 = 7, -5*n + 20 = p*w for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 4755 = x. Is -2 + 5 - (x + -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 7:05 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 1.529?\nAnswer: -7.645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-135)\/(-2025))\/((-1)\/12)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(42)\/sqrt(6) + sqrt(7) + sqrt(63)\/(sqrt(72)\/sqrt(8) + sqrt(9) - sqrt(9)).\nAnswer: 3 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 5*s - 2*s - 10, -3*s - f = -2. Let c be 3\/(-6)*s\/3. Suppose 5*d - 145 = -c*d. What is the remainder when d is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = -11*o + 581. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/116127 and 26\/2295?\nAnswer: 580635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 396384584 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 1, 74951, -1, 9, -1\/2?\nAnswer: 74951","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 12:54 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -523c7a (base 15) in base 4?\nAnswer: -32322312121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 1d?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -6*t**2 + 3*t**2 + 3 + 5*t**4 + 0*t**4. Let n(j) = 4*j**4 - 2*j**2 + j + 2. Let m(o) = -3*n(o) + 2*s(o). Find the second derivative of m(c) wrt c.\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**2 + 323536*q - 1294080 = 0 for q.\nAnswer: 4, 80880","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 4*h - 38, -4*g + 3*h = -2*g - 27. Suppose 4 - 9 = -5*r. Let c = r + g. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3373167?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-8)\/3 + 0\/3.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000577 to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - p - 8. Let d(x) = 5*x**2 + x. Calculate the lowest common multiple of b(-3) and d(2).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*h - 25 = 5*y + 11*h, 2*y = h - 9 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1442*t**4 + 631*t + 2?\nAnswer: 17304*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 1)*((2 + w**3 - 2)*(23*w**2 - 763 + 763) + 2*w**5 + w**5 - w**5).\nAnswer: 25*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.57725 to 1 dp.\nAnswer: -18.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9448 divided by -2362?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 496081765956846 and 2.\nAnswer: 496081765956848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a4 + -12a?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + z + 490, 6*z = 4*z + 10. Is 11 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3303911961.\nAnswer: 3, 7, 173, 303139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 185847, 743557, 1673081, 2974419, 4647571, 6692537, 9109317?\n\"Answer: 185907*p**2 - 11*p - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -163*i**3 - 11*i**2 - 24*i - 1. What is the units digit of z(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 465248 is divided by 901.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (0 + 755)*6\/30.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4 (b) 1 (c) 5\/2 (d) -13.3 (e) 0.34 (f) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 392550795 a multiple of 7833?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-13728)\/13520 - (1 + 7\/(-5)). Which is bigger: -7 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 4)*(1 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zooooooooooozzo. What is prob of sequence zo?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 2:19 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -164*p + 143*p - 294 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 2*c - 11, 0 = c + 3*c - 2*b - 46. Suppose -o + z + 4 = -z, 0 = 4*z + 4. Suppose k = -o + c. Calculate the greatest common divisor of k and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 10, 13*p - 19 = -b + 10*p. Calculate the smallest common multiple of b and (-18)\/(2 - -1)*-1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*f = 66 + 177 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 229*d**2 - 3*d - 2. Let o be j(-1). What is o rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1691697, 1691699, 1691701, 1691703?\n\"Answer: 2*j + 1691695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 4*j + 6 = 18, 2 = -2*q - 2*j for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 0.06888818?\nAnswer: 0.013777636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 4:33 AM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 112814743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of c**5\/80 - 9*c**4\/8 + 45*c**3\/2 + 675*c**2 + 4407*c. Let d(s) = 0. Calculate s.\nAnswer: -6, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15.18 and 418.74.\nAnswer: 6356.4732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (-11350 - -192)*4\/6*6\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1934 + 1048. What is the thousands digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**15*h*h**(-16\/5)*h)\/(h*((h*h**12)\/h)\/h*h**3) assuming h is positive.\nAnswer: h**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 2 + 3. Let x(r) = 10*r**2 + 12*r. Let d(p) = -p**2 - p. Let i(t) = m*x(t) - 12*d(t). Let w(s) = 4*s + 2*s - 5*s. Give i(w(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 275.4 + -278.4. Suppose -3*j + 0*j = n + 1, -3*n = 3. What is the nearest to 0 in j, -2\/9, l?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-85*m + 85*m - 2*m**2)*(-3*m + 0*m + 2*m + (3 - 2 - 2)*(2*m - m + m) + 4 - 4 - m + 5*m - 3*m - 4*m).\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3314640 and 8400.\nAnswer: 16573200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13530 and 1639.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 116*(15\/(-12) + 2). Is 6 + -6 + 1*c a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22296 - -22531.29. Let f = 236 - d. Round f to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j**3 - 2*j**2 + 9. Let m be k(7). Suppose 3*l - m = 1280. Round l to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6296?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6150 + -1964. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 4*j + 4. Suppose 362 = 6*r + 320. Let h(p) = p**3 - 7*p**2 - p + 9. Let i be h(r). Solve 2*x - 4*l = 4*x - 28, i*l - 26 = -j*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.626+68672\nAnswer: 68673.626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 10*j**2 + 5. Let r be q(-10). Suppose 45 = r*w - 3*c + 8*c, 0 = -2*w + 2*c + 2. Let u be (-52)\/12 - 2\/3. Sort w, 4, u.\nAnswer: u, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of b**2\/2 + 20*b + 483. Determine c(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1213800 divided by 151725.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*sqrt(440))\/(sqrt(10) - (sqrt(90)*2 - sqrt(90))).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*a**2 - 71*a**2 - 4*a**2 + 8*a**2 + 4*a**2 - 43*a**3.\nAnswer: -43*a**3 + 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 40126 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.9847337 - 116.1908363. Let x = -0.28557 - f. Let p = 117 - x. What is p rounded to 1 decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.805 to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 11:40 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 468382 is divided by 66909.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wtwwwwww. What is prob of sequence wt?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -5*v + 14*v - 28*v - 4 + 2. Calculate d(-2).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -241*x - 58490. Give q(-243).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/4)\/((-36)\/591728). Let v = n - 4105. Find the common denominator of v and -19\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6605 divided by 1321.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*w + 34 = a, -5*w + 5 = a. Suppose -a = -4*t + 22. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-87)\/(-58)*(-103)\/90 and -119\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99ca3 (base 13) to base 10.\nAnswer: 278983","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/48597 and -161\/198.\nAnswer: 3207402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209*m - 367*m = -10368 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5942040 divided by -114270.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/(-10))\/(-1 + 49\/35). Let y(p) = p**2 + 3*p + 1. Calculate y(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8662*u**2 + 4748*u**2 - 10820*u**2 - 2329*u**2 to q*u**2 + n*u + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + q**2 - q - 1. Let i(n) = n**3 + 5*n**2 - 5*n - 5. Suppose 6 = m - 5*a, m = a - 2*a. Determine m*i(g) - 5*r(g).\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4233620, -4233594, -4233568, -4233542?\nAnswer: -4233516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 0.5 (c) 1247 (d) 1\/3 (e) -0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -79 - (-12571 - -12595)?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48135334.\nAnswer: 2, 13, 1851359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 equal to -6633?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 566352005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + (sqrt(19) - sqrt(95)\/sqrt(5)) + 3 - sqrt(19))**2*-3.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 72, 24, 61 in increasing order.\nAnswer: 24, 61, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ac when two letters picked without replacement from {c: 3, h: 1, a: 2, u: 5, l: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7\/4071 + -26401\/12986490. Which is smaller: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*s - 3*o, -2*s - 3*o = -1 - 0. Let v be 6\/s + -3 - 1. Let p = 16 + v. What are the prime factors of p?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.604 + 0.004. Let d = 6.5999672 + v. What is d rounded to 6 decimal places?\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29574\/138515 + 4\/2131. Is 0 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 210453?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 3:47 PM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 7*q**2 + 6*q - 8. Let s be r(6). Calculate the remainder when (1\/7 - s\/42)*411 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 305*n + 298*n + 301*n - 1208*n + 305*n - 2182*n**2 to c*n + h*n**2 + a and give h.\nAnswer: -2182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11711 is divided by 199?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 15316938?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 161\/52 (b) 0.3 (c) 0.2 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-15)*m*m)\/m**(-21) assuming m is positive.\nAnswer: m**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(19881 - 19881 - 4409*n**3).\nAnswer: 4409*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 10*s**2. Let w(b) be the second derivative of 0 + 0*b**3 + 0*b**2 + 3*b - 1\/12*b**4. Determine x(w(g)).\nAnswer: 10*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (58 + -3)*5\/5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*x + 2623 = 0, 4*h - 10506 = 5*x - 10*x. What are the prime factors of h?\nAnswer: 11, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 0*j + 0 + 20\/7*j**4 - 4\/7*j**3 + 0*j**2 - 16\/7*j**5 = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -610*f - 968283 = -624*f - 240689. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/(-15) + (-134)\/(-66) + 2. Is 0 <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 4*t + 107 = 3*p, -3*p + 2*t + 113 = 0. Suppose 3*d = 4*s + p, 34 = -s + 5*d + 3. Let q(x) = x**3 + 7*x**2 + 1. Does 20 divide q(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -7*h + 4*h**3 - h + 5*h + 6*h + 5 + 5*h**2 - 3*h**3. Determine x(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/8)*(z*z*z**(1\/6))\/z)\/((z*z*z**(-8))\/z*z\/z**4*z*z) assuming z is positive.\nAnswer: z**(217\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 4:05 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.194 - 0.186508. What is w rounded to 4 dps?\nAnswer: 0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 93 and 217?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63, -117, -161, -195, -219?\nAnswer: -233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 - 15. Suppose m*h - 3333 = -1161. Let p = 7227\/20 - h. Calculate the common denominator of p and 93\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, g: 1, x: 1, q: 1, l: 1}. What is prob of picking 1 x and 1 q?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1504567 (base 10) to base 6.\nAnswer: -52125331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 11 - 181 = 0. Suppose -36313*w = -36243*w - 2170. Does w = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144969088 divided by -2.\nAnswer: -72484544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by 4.\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -959*w**2 + 1495*w**2 - 1008*w**2 as b*w + f*w**2 + z and give f.\nAnswer: -472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0066507 rounded to five dps?\nAnswer: 0.00665","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 110005810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.9 plus -0.12?\nAnswer: 24.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g + 27 + g - 7)*(3 - 2 - 2) - 1 - 49*g + 0 + 35*g as s*g + w and give w.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 3*x + 36. Suppose 0 = -x*v + 4*v + 15. Solve v + 2 = 5*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = i + 6, 5*i + 22 = -2*g - g. Let z(q) = -4*q**2 + 7*q**2 + q + 0*q + q. What are the prime factors of z(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m - 24*m - 31*m - 3*m.\nAnswer: -55*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-26)\/(-24)) + 33293\/2364.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16239486?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: -234265 (base 10) to base 6\nAnswer: -5004321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l - 5*l**2 - 2*l + 0*l**2 + 4*l**2. Let o = -25 - 29. Let b = o - -50. What is q(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 1032 = -2*a. Is a a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.11 times 252?\nAnswer: 1539.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 438276?\nAnswer: 2, 3, 36523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 499985365?\nAnswer: 5, 11, 41, 221723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3350820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 + -13. Calculate the smallest common multiple of 18 and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**3 - 2*n**3 + 3*n**3)*(-5*n - 4*n + 8*n - 17) - 9*n**4 - 3*n**4 + 22*n**4.\nAnswer: 7*n**4 - 51*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1132 + -6?\nAnswer: 1124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x**3 - 2*x**2 - 3*x - 3. Let b(l) = -3*l**3 + l**2 + 2*l + 2. Suppose -2*f - 10 = -4*m, -2*f - 10 = 3*f + 5*m. What is f*b(a) - 2*t(a)?\nAnswer: 3*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 x when three letters picked without replacement from innqxqq?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 123 + -3?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/195)\/((-91525)\/(-1307500))?\nAnswer: -20\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-12))\/(33\/18).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 3 + 3 - 2 + 3)*(-221*o**3 + 221*o**3 - 65*o**4).\nAnswer: 65*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 21, -1.9, 6\/65, 2\/7, -2\/17 in descending order.\nAnswer: 21, 1, 2\/7, 6\/65, -2\/17, -1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 784 - 384. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.211647 and 0.7.\nAnswer: 0.911647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 168 divided by 4\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154672 is divided by 9653.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 971, 3895, 8769, 15593, 24367?\n\"Answer: 975*d**2 - d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/54 and -52\/1995477.\nAnswer: 35918586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (288\/126)\/(70\/490)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 86 + -76. Is 52 a factor of (32\/o - 2)\/(2\/780)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-4 + 6 + 5 + -2) - 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 0, -x + 5*x - 38624 = 71*u - 69*u. List the prime factors of x.\nAnswer: 2, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 18. Suppose z = -2*j - 7 + 11. What is v in -2*v**j - 1 - 8 - 18*v - 8*v**2 + 1 = 0?\nAnswer: -1, -4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(425) + -1)**2.\nAnswer: 40*sqrt(17) + 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - 2*r. Suppose 0 = -n + 5*n + 4*b - 28, 11 = -3*n + 5*b. Let x(t) = 2*t**2 - 2*t. Give n*c(z) - 2*x(z).\nAnswer: -z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -977, -1958, -2943, -3932, -4925, -5922?\n\"Answer: -2*z**2 - 975*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -2. Suppose 185 = w + 117. Let b = w - 49. Solve 4*q - 5*f = q - 17, -4*q + m*f - b = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17749*w**2 + 34259 with respect to w.\nAnswer: -35498*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 959*f - 355*f - 3500 = 359*f + 665 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110011001010001101 - 110110?\nAnswer: -110011001011000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-13 - 189) + -2)\/(-4). Calculate the highest common factor of d and 3621.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 22*j + 12*j**3 + 11*j**2 + 4*j**3 - 15*j**3 + 8. Let k be o(-9). Is k > -27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 0, 14, 46, 102, 188, 310, 474, 686?\n\"Answer: g**3 + 3*g**2 - 2*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*n - 25*n + 10883 + 10*n - 30*n.\nAnswer: -62*n + 10883","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -204860466?\nAnswer: 2\/102430233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 divided by -148091?\nAnswer: -31\/148091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o**3 + 3*o**3 - 7*o**3)*(9 - 5 + 8) in the form m*o**2 + k*o + l + p*o**3 and give p.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 27 = 18. What is the remainder when (510\/20)\/(2\/4) is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -471668, -943324, -1414954, -1886546, -2358088, -2829568, -3300974, -3772294?\n\"Answer: 2*v**3 + v**2 - 471673*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -7*o + 1. Let u(f) = f**2 + 5*f + 2. Let g be u(-3). Let i be d(g). Suppose -5*q = -i - 21. Does 10 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448)*-3*-3*5 + -2 + 4*-2*(sqrt(448) + 3*sqrt(448)*-6))**2.\nAnswer: -5792*sqrt(7) + 14676932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 18 + 0 = 0. Let f be 1 - 6\/3 - 5. Is f > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/21 of a week?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*c**2 - 112*c**2 - 16 + 329*c**2 - 104*c**2 + 7 + 7.\nAnswer: 32*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 154*d. Let h(c) = 34965*c. Give 5*h(b) - 1134*v(b).\nAnswer: 189*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -662829 and -0.189.\nAnswer: 125274.681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 PM and 9:05 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5836566 is divided by 76.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 70*k**2 - 55*k + 55. Let y(o) = 5*o**2 - 4*o + 4. What is 4*u(n) - 55*y(n)?\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.343, -2, -4\/5, 19\/4, -3\/2?\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 4*r + 16 + 3 = 0, 0 = r - 4 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 205289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.3 + 7.351. Let t = a + -1.051. Let m = -2.09 - -2.39. What is the biggest value in -2, t, -27, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 4 = 11. Calculate the lowest common multiple of (2 - 3) + 18 - o and 248.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21240649 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -10*q - 82. Suppose -5*j + 195*h - 57 = 199*h, -5*j - 30 = -5*h. Determine v(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away 1934316143?\nAnswer: -1934316139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -533*k - 1632 = -437*k for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 174.254 + -6.254. Sort 2\/5, b, -2\/7.\nAnswer: -2\/7, 2\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (427 + 256 + 130 + 142)*(0*n + n + 0*n).\nAnswer: 955*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i**3 - 27*i**2 + 7929176*i - 7929176*i + i**2 - 105*i**2.\nAnswer: 4*i**3 - 131*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + 3*u + 1. Let c be a(4). Let k(j) = -j**3 - 3*j**2 - 4*j - 3. Let p be k(c). Let v be (-9)\/(-6)*12\/p. Which is smaller: 0.2 or v?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/(0 - 1 - -2) - (-1051638)\/(-129654). Suppose 1 = b - 0*b. Sort 5, b, -5, q in increasing order.\nAnswer: -5, q, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, m: 12}. Give prob of sequence mxm.\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/6 and -43\/14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3764899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 9 and 0.04.\nAnswer: 9.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-58)\/29*(-5)\/1475*20\/(-4)\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -c**2 + c - 5. Calculate the remainder when 25 is divided by o(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 117, 248, 431?\nAnswer: 666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.252 less than -12?\nAnswer: -11.748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*t**2 + 794 - 794.\nAnswer: 15*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 40738 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-5\/4)*t**(-8)\/t)**(-20)*((t\/t**(-2\/15))\/t**8)**15 assuming t is positive.\nAnswer: t**102","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 3:52 AM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 4 - 115*m + 15 + 116*m. Let b be q(-7). What is the highest common factor of 60 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q - 6*m - 88, 5*q - 228301*m = -228317*m - 219 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of q**5\/60 + 17*q**2. Let u(m) = m**2 - m + 1. Let b(x) = 7*x**2 - 9*x + 9. Let j(i) = -2*b(i) + 18*u(i). Determine s(j(f)).\nAnswer: 16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of s**5\/15 + 4*s**4\/3 + 14*s**3\/3 + 48*s**2. Let r(g) = 0. Calculate g.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 54*p + 23*p + 14*p in the form f + j*p and give j.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 e when three letters picked without replacement from {e: 4, m: 16}?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/28 + (-121)\/(-4). Suppose 0 = -8*r + 13*r - l. Suppose 10 = r*c - 20. Solve 8*d - 12 = 3*d - k, c*d - k = 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/28028322 and -47\/8008092.\nAnswer: 56056644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4 = -6. Let f(k) = 5*k**2 - 7*k + 10. Let t(a) = -4*a**2 + 7*a - 9. Let l(o) = 3*f(o) + 4*t(o). Determine l(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133690183 to the power of 1\/2, to the nearest integer?\nAnswer: 11562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/52)\/(434\/88 + 12\/(-66)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fzfzvvpvzzfzffpsf. What is prob of sequence sv?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07550502 to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 28 = 5*o, -n + 2 = o + 4. Let p be 2\/(-1 + (1 - n)). Let r = 0.3 - 0.6. What is the second biggest value in 3\/5, p, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**3 - 77*d**2 - 193*d - 474. Calculate i(-36).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 261?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + q = -3, -4*z - 4*q = -2*z + 12. Solve -5*n + 27 = -3*o, o + 3*o + 3*n + 7 = z for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-7))\/c**(6\/11))**11 assuming c is positive.\nAnswer: c**(-72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 24 = -d, -6*d = -4*d - 5*m - 43. Calculate the lowest common multiple of 8 and d.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1281 from 1.\nAnswer: 1.1281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -175 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 320 and 1728.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f - 18. Let o(g) = 2*g + 19. Give 3*h(y) + 2*o(y).\nAnswer: -2*y - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1692.57694 - -0.17694. Let f = -1216 - c. What is f rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92751.08mm to centimeters.\nAnswer: 9275.108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 f when three letters picked without replacement from {f: 1, l: 5, u: 7}.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + (4 - 2 - 5). Suppose 0 = 4*j + 732 + 184. What is the units digit of j\/i + 12\/42?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22\/273 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3728633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + s + 6 = 0, 0 = t - 7*s + 9*s - 10. Determine h so that 189*h - 3*h**5 + 42*h**t - 21*h**4 + 8*h**3 - 192*h - 21 - 2*h**3 = 0.\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -864872840\/749 - -1154703. Let x = b + -4\/107. Let p be (-14)\/(-18)*2\/7. Put 1\/3, p, -5, x in decreasing order.\nAnswer: 1\/3, p, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-21)\/(-42))\/((-117)\/(-99)))\/(((-36)\/(-6))\/(-12)).\nAnswer: -11\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/18)\/(2\/8). Let j = -45 - -45.1. What is the nearest to -0.2 in -4, j, x?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 17*l + 10 to the form k*l + a and give k.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -24*a**2 - 2*a. Let b(g) = -g**2 + g. Let y(t) = -3*b(t) - q(t). Let o(r) = r**2 - r - 1. Let i be o(0). Does 28 divide y(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 6 = -3*i. Suppose -2*z - i = h, -5*h = -0*z - 4*z + 24. Let w = h + 6. Solve -3*t = -m - 7, 2*m - w*t - 5 = -3 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3 = 2*h + 5, 2*z + 5*h - 43 = 0. What is the hundreds digit of (-4 + z)*74\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a millisecond in nanoseconds?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of p**7\/840 - p**6\/36 + 3*p**5\/40 - p**3\/6 - 5*p**2. Let c(m) be the first derivative of h(m). What is t in c(t) = 0?\nAnswer: 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5888 and 4968.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001325 rounded to six decimal places?\nAnswer: 0.000133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -485 - -362. Let i = -88 - h. What is the remainder when 171 is divided by i?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lzvllvvvlvzvl. Give prob of sequence zzv.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 1543*x + 23. Is r(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 98*z**4 + 17*z**3 - 9*z + 7. Let a(w) = 196*w**4 + 38*w**3 - 18*w + 15. Let y(x) = 4*a(x) - 9*u(x). Find the second derivative of y(r) wrt r.\nAnswer: -1176*r**2 - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -9 (c) -4 (d) -1 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-6)*(0 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3306\/399 - 6\/21.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1342 is divided by 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -13*u. Let a(c) = 86*c + 22. What is a(h(w))?\nAnswer: -1118*w + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1113*y = 542*y - 1825 + 33691 + 16129 for y.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10\/9, -1\/32, -10, -2\/111.\nAnswer: -10, -10\/9, -1\/32, -2\/111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 41037 and -4?\nAnswer: -164148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -311312?\nAnswer: -311310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(4\/5)*h**(-8)*h**5*h*h\/h**(2\/7) assuming h is positive.\nAnswer: h**(-17\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 871 and 21359?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/5, 0.54, 2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2.3 + 0.14135\nAnswer: -2.15865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 47a (base 13) in base 7?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.614 - 0.45. Let h = z + -0.064. Which is the nearest to 3? (a) 5 (b) 0.3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2383 - 2379. Which is the nearest to -8? (a) -0.5 (b) 2 (c) v (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 + 128 = -72*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*b**2 + 61*b**2 - 49*b**2)*(-12 + 39 - 73)*(-b**2 - 3*b**2 + 6*b**2).\nAnswer: 2208*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 2556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -525 - -741. Round n to the nearest ten.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (b**2 + b**4 - b**2)*(-46 - 252 - 264 + (1 - 2 + 6)*(5 + 1 - 4)) as m + o*b**4 + p*b + v*b**3 + f*b**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1848 and 2688?\nAnswer: 29568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21138 is divided by 261.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 356929109 to the nearest ten thousand.\nAnswer: 356930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of x**7\/490 - 3*x**6\/280 + x**4\/14 + x**2\/2 - 7. Let p(t) be the second derivative of y(t). Factor p(z).\nAnswer: 3*z*(z - 2)**2*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 310 and 341?\nAnswer: 3410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1006226.5000035 + -1006809.92. Let y = m - -582.62. Let v = -0.8 - y. What is v rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -65*i + 65*i - i**3 - 5*i**4 + 2 in the form m*i**4 + h + c*i**3 + d*i + u*i**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 819405\/1606 smaller than 510?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -2 + 0 + 11 + -11\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 87 and 11919.\nAnswer: 11919","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ejzyqeqb. What is prob of picking 1 e and 1 b?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -284*x**3 - 4*x**2 + 93*x**3 + 4*x**2 - 94*x**3.\nAnswer: -285*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2911619, 11646475, 26204571, 46585907?\nAnswer: 72790483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -14*m**2 - 138*m + 21. Let s be c(-10). Which is greater: 25\/59 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u + 4. Let d(i) = 6 - 3 + 0 + 2*i. Let k(p) = -p**2 + 3*p + 14. Let r be k(6). What is r*m(j) + 5*d(j)?\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 10*v**2. Let c(u) = 7*u**2. Give w(c(t)).\nAnswer: 490*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178349294.\nAnswer: 2, 43, 79, 26251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -10, -8, 0 in descending order.\nAnswer: 5, 0, -1, -8, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 119 - 68. Suppose -7*l + 21*l = 476. What is the greatest common factor of k and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 20 = -3*a, 4*a + 0*a - 3*t = -30. Let j(p) = -12*p - 29. Let l(w) = 1. Let v(g) = j(g) + 2*l(g). Is v(a) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2400 divided by -4\nAnswer: -600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 57*l**2 - 12*l - 17218 wrt l.\nAnswer: 114*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20125265623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 11\/10 of a millennium?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**5 + d**5 + d**5 + (2 + 0 - d + 1)*(d**4 + 5*d**4 - d**4).\nAnswer: -6*d**5 + 15*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -7*h**2 + 2*h + 2. Let l(b) = 70*b**2 - 21*b - 21. Suppose 2*r + 6 = -i - 1, 4*i + 18 = -3*r. Determine r*l(o) - 21*p(o).\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3503 or -3501?\nAnswer: -3503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-250485)\/9685420)\/(56\/6*(-9)\/(-32))?\nAnswer: -2\/203","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c**2 - 6*c + 827. What are the prime factors of l(-56)?\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 11 + 0 - (-25 + -1 + 16)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -103*a + 0 + 2*a**4 + 10*a + 4*a**2 + 2 + 47*a - a**3 to the form f*a**4 + y + x*a + u*a**2 + w*a**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 6*w**2 - 5*w - 1. Let o be k(5). Let y be 6*(o - 10\/(-6)). What is the second derivative of 0*p**y - p**4 + 0*p - p wrt p?\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 21*f**2 + 22*f - 37. Give w(20).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40 - -16. Suppose 0*g + 2*g - c = 0. List the prime factors of (-5 - -3)*(0 - g).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.55 times 0.3?\nAnswer: -0.765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/4 + 10\/20. Suppose 24*j - 20*j - 68 = w. Let l = 62 + -13. Calculate the remainder when l is divided by j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4704 and 27865320?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.92, 0, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-90)\/27)\/((-5)\/(-180)*-10). Let w = -1 - -6. Solve -w*t + 8*u - q = 4*u, 2*u - 6 = -3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z**3 + 57*z**2 + 512*z + 1120. Give r(-4).\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 6*y + 8*y - 17*y + 1. Let x be o(-1). What is the second smallest value in -0.7, 0.2, x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**6\/(u*u\/u**(-1\/2)*u))\/((u\/(u*u*u**(4\/7)*u*u*u))\/(u\/u**(1\/12))) assuming u is positive.\nAnswer: u**(671\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2458797 times 106\nAnswer: 260632482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -196323138 divided by 22\nAnswer: -8923779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-3\/5)*n**(-1\/4))\/(n\/(n**10\/n)*n**(-8)))**(3\/8) assuming n is positive.\nAnswer: n**(909\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 215727?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = q - 4. What is the highest common factor of q and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 2202308080?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vmj when three letters picked without replacement from {m: 2, y: 2, c: 1, v: 4, j: 6}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do -323857772 and -323857771 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/11 and 32\/9967.\nAnswer: 109637","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 8 = g. Is (g\/(-8))\/((-8)\/(-8416)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-32)\/10 + (-1)\/(-5). Let w = -1 - o. Suppose w*y = -u + 4, 3*y - 1 = 5*u - 8. Solve 3*d - 2*x - 4 = u*d, -4*x - 8 = -4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 5*v**2 - 7*v - 5. Let h be f(-6). Let g = 13 + -6. Let n = 2 - g. What is the nearest to h in -1\/2, n, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*v = 37*v - 48. Suppose 104 = -v*i + 50*i. Let z(c) = c - 4. What is the least common multiple of i and z(6)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -6*j + 128. Let c(m) = -10*m + 257. Give -4*c(s) + 7*p(s).\nAnswer: -2*s - 132","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288479 is divided by 96146.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-1.0526\nAnswer: -0.10526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**2 + 39189644*h + 191978524605842 = 0.\nAnswer: -9797411","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z + 9. Let h be d(-5). Suppose 5*t - h*a = 10, -2*t = t + 3*a - 6. Solve 0 = 2*s + t*j, 2 = -j - 3 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 810359.4 litres in millilitres?\nAnswer: 810359400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -2*z + x - 15, 0 = -3*z + 5*x + 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 2*o**2 + 3*o - 4. Let a be q(2). Let v be 2\/(-1) - (20\/(-6) + a). Sort -1, v, 1\/10.\nAnswer: -1, v, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2385 + 526 = -11*f. Is f a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -21*m**3 + 3*m**2 - 19*m + 9. What is the hundreds digit of p(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1963*j**4 + 4*j**3 - 4*j**3 - 990*j + j**2 - 379*j - 569*j wrt j.\nAnswer: -47112*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 614?\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2 + sqrt(832) - (-1 + 1 + sqrt(13))) - (1 + 1*(sqrt(1053) + 0))*-5)*-5.\nAnswer: -155*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 54668026 divided by -1115674?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 5:25 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 30 = -4*j. Suppose -175*y + 1 = -176*y. Which is the second biggest value? (a) 1\/4 (b) j (c) 3\/7 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-3))\/((-252)\/(-378))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + n. Let x be -2*1\/2 + -2. Let u = -5 - x. Calculate the remainder when 5 is divided by a(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yuuuueruuuuuurrrul. Give prob of picking 2 u and 1 l.\nAnswer: 55\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -3*sqrt(2448) - (sqrt(68)\/(sqrt(4)*3) - (sqrt(17) - (sqrt(2448) + 2)))**2.\nAnswer: -19733\/9 - 244*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001078 to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5343555049?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -334 divided by 1463031.\nAnswer: -334\/1463031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 885 (b) -1\/2 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -6771\nAnswer: -2\/6771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -22, -45, -90, -169, -294, -477, -730, -1065?\n\"Answer: -2*r**3 + r**2 - 12*r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) -0.3 (c) -1106120\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 2*m**2 - 2*m - 4. Let h be t(3). Let l be -1*(5 - 1)*h. Find the second derivative of 9*o - 4*o - l*o + 7*o**2 wrt o.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 + 14. Let c be 2 + (-2 - b\/3). Suppose -3*d + 14 - c = 0. Which is smaller: 3 or d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + q - q**2 + q)*(32*q**3 + 37*q**3 - 50*q**3).\nAnswer: -19*q**5 + 19*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 192\/(-18)*(-6)\/4. Let l be 37*(3 + -1) + -2. Suppose 14*y + l = o*y. Is 18 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/3)\/(((-4)\/(-150))\/(-40 - 9751\/(-245)))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (p**3 - 4 + 4)*(p - p - p) - p**4 + 3*p**4 - 4*p**4 + 7*p**4 + 6 - 6 in the form f*p**4 + j + s*p**2 + m*p**3 + d*p and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3900.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -3*t**4\/2 - 7140*t**3 + 157365*t**2\/2 - 186045*t + 114504 = 0.\nAnswer: -4771, 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 425 a factor of 310669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + h + 8. Suppose -18 = -7*s + 108. What is the lowest common multiple of (243\/s)\/(6\/8) and h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 r when three letters picked without replacement from pblrprqrlrqqrrbrlp?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 3*m**2 + 22*m - 19. Give q(-6).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -248140650 rounded to the nearest 10000?\nAnswer: -248140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 436788 + -203199. Let s = r + -155889. Round s to the nearest one thousand.\nAnswer: 78000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of 0 + 0*n**3 - 1\/40*n**6 + 1\/2*n**4 + 1\/140*n**7 - 5*n**2 - 1\/10*n**5 + 0*n. Factor k(f).\nAnswer: 3*f*(f - 2)**2*(f + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 31 + 8)*(1 + 2 - 6)*(4*l + 9*l**2 - l**2 - 6*l**2) to w*l + x + s*l**2 and give w.\nAnswer: -396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -42231 at least as big as 8.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 2) to base 7\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 1 = -19. Solve 20 = -o*s - 2*d, -d - 15 = 4*s - s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7775 - -7850. Calculate the remainder when 360 is divided by x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1697621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of i**4\/4 - 5*i**3\/3 - 8*i + 5. What are the prime factors of w(6)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -39*n**3 - n + 1. Let u(g) = -g**3 + 2*g**2 + g - 2. Let l be u(0). Let z be h(l). Let b = z - 216. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 3*n**2 - 5*n - 1. Let q be c(-4). Suppose 4*t + 8 = -r, -t + 0 = q*r - 9. Let p(j) = -j**2 - j + 4. Calculate p(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-6 - -13 - (6 + -1) - 13)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*0.5803.\nAnswer: -0.23212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 384*b**2 - 1688*b**3 - 384*b**2.\nAnswer: -1688*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -16*b**3 + b**2 + 7*b - 13. Let v(t) = 49*t**3 - 4*t**2 - 20*t + 38. Let u(k) = 8*h(k) + 3*v(k). Let q be u(2). Let l = q + 1124. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/22)\/((-129)\/(-172))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.411377548 to 3 dps.\nAnswer: -0.411","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 704604757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 15 = -5*s, -4*d - 5*s + 10*s + 15 = 0. Suppose d = w - 10 + 7. Factor -2 + 0 + 1 - 1 - 6*y**w + 10*y**2 - 2*y.\nAnswer: -2*(y - 1)**2*(3*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -8*n**2 - 388*n + 178. Give u(-49).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 22874 (base 12) to base 15\nAnswer: da2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*m - 79*m = 333. Let i = -172 + m. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 798 = 3*g - 8*g, 150 = -g + 4*w. Let d = -237 - g. What is d rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -101*c - 29. Let l(q) = 151*q + 44. Let o(z) = -8*b(z) - 5*l(z). Is o(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 5*b**3 - 3*b**2 + 3*b + 4. Is a(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -3*f + 30, 20 = p + 5*f - 2*f for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of 2*m**7\/21 - m**3 - 4*m**2. Differentiate t(k) with respect to k.\nAnswer: 80*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 934 - 913. Let m = -4 + 11. Calculate the greatest common factor of k and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28 or 141\/5?\nAnswer: 141\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(13) + 0 + 2 - sqrt(13)) + sqrt(13) - sqrt(143)\/(sqrt(22)\/sqrt(2)))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f\/(f*f\/(f**(2\/7)*f)*f))\/(f\/(f**1*f*f)))\/(f**0)**(1\/9) assuming f is positive.\nAnswer: f**(23\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3298 (base 15) to base 3\nAnswer: 112200222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-7)*3*(-1)\/(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 162071 * 0.1276.\nAnswer: 20680.2596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/7))**49)**44 assuming d is positive.\nAnswer: d**616","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -13*c**2. Suppose 2*k + 3*k - 3*j - 46 = 0, -2*j = k - 17. Let m(h) = h - 2. Let s be m(k). Let w(z) = s - z - 3 - 6. What is l(w(b))?\nAnswer: -13*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.277698301 + 21770.\nAnswer: 21770.277698301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-147)\/30 - 6\/15?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 11*v - 8. Let w be q(10). Suppose 0 = i + 3 - 2, w*r - 37 = i. What is the second derivative of r*p + 3*p + 6*p**5 - 16*p**5 wrt p?\nAnswer: -200*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143 = 24*v - 335. Let j(t) = 2*t + t + t**2 + 1 - 13*t. Calculate j(v).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1996 + -1997. Let p(y) = 13*y + 2. Let q(r) = 6*r + 1. Let s = 8 - 3. Let h(t) = s*q(t) - 3*p(t). Calculate h(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -60 - -59.5. Let d = 1.5 - -2.3. Let t = -4 + d. What is the smallest value in 1, x, t?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26\/19 - -863\/133. Calculate the common denominator of m and 81\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1729 - 511 = 320*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6435078 a multiple of 633?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -273003*l**4 - 201355*l**2 wrt l.\nAnswer: -6552072*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(-1638) - (-1)\/(-6).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-14.8.\nAnswer: 1.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of 1\/3*s**2 + 0 - 1\/18*s**3 + 3*s - 1\/36*s**4. Factor c(g).\nAnswer: -(g - 1)*(g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -5*b**3\/3 - 35*b**2\/2 - 30*b + 41. Suppose m(r) = 0. Calculate r.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*t - t - 2*t + (2 + 4 - 3)*(0*t - 2*t - 2*t) + (-4*t + 6*t - 4*t)*(-4 + 4 + 2) in the form v*t + b and give v.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/47, -3, -11\/3 in ascending order.\nAnswer: -11\/3, -3, -2\/47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -730, -1459, -2188, -2917?\n\"Answer: -729*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1501*y + 2746*y - 1498*y)*((4 - 1 - 2)*(-1 + 1 + 2) - 1 - 6 + 5 + 3 - 2 - 2 + 4 - 3 + 2)*(0*y**4 - y**4 + 3*y**4).\nAnswer: -1012*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46 + 46. Solve n = 2*a - a + 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/2*(15 - 81\/1485*33)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -628*z**3 - 1232*z**2 - 580*z + 24.\nAnswer: -4*(z + 1)**2*(157*z - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12556*u + 18387 with respect to u.\nAnswer: 12556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -240, -5 in decreasing order.\nAnswer: -2, -5, -240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((35424\/(-2688))\/(-369))\/(16\/(-7)).\nAnswer: -1\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of p**3\/3 + 11*p**2\/2 - 20*p + 8339. Give y(-9).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 11*n**2 - 5*n - 15. Let g be j(-11). Let m be g\/(-22) - (-2)\/(-11). Put m, 0, -4 in decreasing order.\nAnswer: 0, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 + -43 - (15 + -1 + -9 + 0).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -27 + 0 - (-17 - -15).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 11:38 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, e: 2, y: 10}. What is prob of sequence yeey?\nAnswer: 15\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - 909*u - 130690. Determine l(-179).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 3*c - 2)*(-1 + 0 + 0)*(-46*c + 21*c - 45*c) + (1 + c - 1)*(-1 + 1 - 2*c) - 4*c**2 + 4*c**2 - 6*c**2 to the form r*c + g*c**2 + p and give g.\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 116858*j - 116574*j - 7952 for j.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1774182 and 13987.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nononoooen. Give prob of picking 1 n and 1 o.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3 + 424155*o**2 - 44977078083*o + 44976653929.\nAnswer: -(o - 212077)**2*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 588041 times 0.04\nAnswer: 23521.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 192 and 648?\nAnswer: 5184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 13. Let k(d) = -d**3 + 11*d**2 + 11*d + 17. What is the units digit of k(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 u, and 1 e when three letters picked without replacement from {l: 1, u: 1, w: 5, e: 3, f: 4}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -307281, -307280, -307279, -307278, -307277?\nAnswer: -307276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**2 - 5624*d - 3953672 = 0.\nAnswer: -1406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t + 6. Let h be f(-5). Let v = 0.1 + -0.3. Let o = 210 - 208. Which is the third smallest value? (a) v (b) h (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39) - (sqrt(39) - (1*sqrt(156) - sqrt(156))\/sqrt(4)))\/sqrt(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6624 to the power of 1\/2, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 divided by -12.\nAnswer: -25\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3*g**2 - 5*g + 6. Let h be z(2). Solve h*o + 8 = 4*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 6:53 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3 (b) -2 (c) 56\/9 (d) 1\/3 (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101001111111 (base 2) to base 12.\nAnswer: -167b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*f + 14*f - 4*f)*(-2 + 5 - 7) + (f + 3*f - 7*f)*(0 + 0 - 1).\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1505 (base 6) to base 3\nAnswer: 112212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-8) + 51\/24. Is z greater than or equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 24*l**2 + 22*l - 54. Let s be (-123)\/5 + 12\/(-150)*5. Is 9 a factor of q(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*c**2 - 3005*c + 342510 = 0. Calculate c.\nAnswer: -699, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -752.1 - -752. Suppose 1 = -2*w - 7. Put 4, w, k in decreasing order.\nAnswer: 4, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*v - 48 = 61 - 28 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (3 + 10\/(-6) + -1)*6 and 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*y**4 + 48*y**2 - 1.\nAnswer: 16*y**3 + 96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (3 - 1) - (-1 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -6, -3, 2, 181, -8 in increasing order.\nAnswer: -8, -6, -4, -3, 0, 2, 181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (428\/(-2354))\/(284\/(-44)).\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, -40, 4\/7, -29, -1?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 50*o**3\/3 + 3*o**2\/2 - 6*o - 7. Does 50 divide a(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -86.2 - -86. What is i rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20500 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 166 - 122 = 0. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/5))**(-34)*(w\/(w**(-4)*w)*w*w)**(-1\/82) assuming w is positive.\nAnswer: w**(1379\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-47)\/(-7) - (-4)\/14. Let i = 5 + 11. Let y = 79 - i. Calculate the greatest common divisor of c and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -181721 + 1787911\/10. Let q = y + 2935. What is the common denominator of (-2046)\/(-88) - (-2)\/(-4) and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -76\/51 and -49\/8709.\nAnswer: 148053","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 22, -12, 2 in decreasing order.\nAnswer: 22, 5, 2, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 6*x**2 + 5*x + 11. Let n be z(-5). Let r be (18\/(-15))\/(4\/(-10)). Differentiate n - 15*p**4 + 3*p**4 - r*p**4 with respect to p.\nAnswer: -60*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 p when two letters picked without replacement from {h: 2, p: 5}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4260068424 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -6*x. Let j(m) = m. Let r = -4 - -5. Let n(b) = r*u(b) + 9*j(b). Let a(q) = -4*q**2 + 5*q**2 - 2*q**2. Give n(a(k)).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -222105 by 1195.\nAnswer: -44421\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (2\/19)\/(1287\/627)\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 26394655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3103 + -2538. What are the prime factors of k?\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4103 + -32869\/8. Calculate the common denominator of -41\/24 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 3222?\nAnswer: -3233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + sqrt(19))*-6 + -1 + sqrt(1539) + sqrt(1539))**2.\nAnswer: 12*sqrt(19) + 685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/4897?\nAnswer: 1\/4897","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -326*v**2 + 10440*v - 242. Give h(32).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 3*t**2 - 7*t + 9. Let v be g(4). Let y be (-2)\/2 + v*(-16)\/(-6). Is y smaller than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p**2 + 26*p**2 + 24*p**2 + 11*p**2 - 3*p**2.\nAnswer: 54*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 - 33. Let b(n) = 2*n - 8. Let l be b(7). Suppose 20 = l*v - v. Solve 4*t - 3*f + 8 = -8*f, v = c*t + 2*f for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -5*m**2. Let n(a) be the third derivative of 3*a**5\/20 + 2*a**2 + 17*a. Calculate n(o(r)).\nAnswer: 225*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -340279, -680552, -1020825, -1361098?\nAnswer: -1701371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 0*z - 35 = 5*z, 5*s = -5*z + 15. Suppose b - 23 = -3*t - s, 44 = 4*b + 5*t. Calculate the greatest common factor of 3 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2.57 and -0.13 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21037?\nAnswer: 109, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 6 = 2*k + 2, 0 = -3*k + 4*d - 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 5 (b) -2 (c) 0.3 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -133 - -129. Let r be 126*o*2\/12. Find the common denominator of (-511)\/r + (-1 - 9\/(-12)) and 121\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 3:42 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -3. Let k = l - 1. Suppose 5*h - 4*y = 4*h + 11, k = -h + 3*y + 13. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29409 - -26620.7. Let l = 2489 + n. What is l rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.052 and 1.92.\nAnswer: 0.09984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1377295, -1377313, -1377323, -1377325?\n\"Answer: 4*l**2 - 30*l - 1377269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-21) - 22*12\/(-56). Suppose c + 67 = 5*r + 2*c, g*r - 5*c = 55. What is the remainder when r is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -11043*w**3 - 27*w**2 - 54*w + 39. Let m(l) = -849*l**3 - 2*l**2 - 4*l + 3. Determine -27*m(d) + 2*n(d).\nAnswer: 837*d**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 18926 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 3*f**2\/5 + 21608*f\/5 - 7203\/5 = 0.\nAnswer: -7203, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2 or 5449\/5?\nAnswer: 5449\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 107481192 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*v**2 - 393780*v + 393780*v.\nAnswer: -26*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -20*c + 313. Let v be j(16). Let n(o) = -o + 1. Let t(r) = r**3 + 7*r**2 - 6*r + 27. Let p(y) = -5*n(y) + t(y). What is the tens digit of p(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 833 - 221. Let y be j\/476 + (4\/(-14) - 0). What is the nearest to 0.1 in -5, 11, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 230 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -95 and 0.1.\nAnswer: -9.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6*(6\/(-4) - -1). Let c(k) = k**2 - 13*k + 24. Let p be c(2). Solve h = p*h - q for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) -2 (c) -0.03908 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 458083, 458100, 458121, 458146?\nAnswer: 458175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13680780?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -2*k**2 - 222*k - 220 = 0.\nAnswer: -110, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*z**4\/4 + 7295*z**3\/4 - 8781*z**2\/4 + 2637*z\/4.\nAnswer: z*(z + 293)*(5*z - 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8630*l + 513975 - 148330 = 205901 - 867226 for l.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 5 - 9. Let q = 6 + -4. Find z, given that -2 - 2*z**v + 4*z**2 - z**2 + z**q = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.3 + 8. Sort o, 5, -2.\nAnswer: -2, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p**(-2\/21)*p)))\/(p*p\/p**(-2\/29)))**29 assuming p is positive.\nAnswer: p**(-709\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 7*z**2 + 4*z - 2. Let q be u(-6). Suppose q = i + 4*i. Suppose 3*w = -2*h + 61, -h - 4*w + i*w = -30. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*z + 6*z - 6, z = -u - 5 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3367 = -1285*b - 9784 - 21544 for b.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, u: 3, l: 2, k: 4, m: 3, x: 2}. What is prob of sequence ul?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.42 to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 7*t = 623391, -49*x + 46*x - 4*t = -623391. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 520 (base 6) to base 4.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-475*j**3 + 475*j**3 - 902*j**4)*(-3*j + 8*j + 3*j + 4*j - 4*j - 2*j + (-2 - 1 + 2)*(0 + 0 + 2*j) - j - 2*j + 4*j - j + 3*j - 4*j).\nAnswer: -2706*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 11:51 AM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1534419\/23 or 66713?\nAnswer: 1534419\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -52236, -52249, -52262, -52275, -52288?\n\"Answer: -13*p - 52223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 622674 is divided by 310742?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1\/7, 0.4, -13 in decreasing order.\nAnswer: 5, 0.4, -1\/7, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -635235*g**3*h**3 + 2*g**3 - g**2*h**5 - 1298*g**2*h**2 + 30*h wrt h?\nAnswer: -3811410*g**3 - 60*g**2*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 - 0.2. Let z = -1.48 - 0.02. Let h = z + 1. Sort m, h, -1\/4.\nAnswer: h, -1\/4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22305 + 71563 = -11*x. Let l = -340 - x. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 810\/2187*114\/(-2850)?\nAnswer: -2\/135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.181 to one dp.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9.2 + -9. Let f = 4.813 - 1.813. Let g = -2 + 6. Sort g, c, f in increasing order.\nAnswer: c, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 + 0)*(4 - 2 - 3)*(-60 - 37*a**3 + 60) to the form i + f*a + w*a**3 + n*a**2 and give w.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 16*c**2 - 26*c - 10. Give g(14).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 82, 1\/6, -9, -1056, -2\/3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -206*f**3 + 2*f**2 - 5*f + 63 wrt f?\nAnswer: -1236*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 5*n**2 + 4*n. Let b(t) = 6*t**2 + 5*t. Let i(l) = -4*b(l) + 5*d(l). Let r(z) = z**2 - 2*z - 1. Calculate -i(y) - r(y).\nAnswer: -2*y**2 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14096105 bigger than 14096105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -116*x + 36. Let k(o) = 2*o - 1. Let v(b) = -4*h(b) - 144*k(b). Let m(n) = -n**2. Give m(v(p)).\nAnswer: -30976*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 205 and 2091?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((960\/(-14784))\/(8\/(-7)))?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 97 and 194.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*t + 26 + 52. Let x(u) = -u**3 + 7*u**2 - 6*u + 5. Let r be x(t). Solve -15 = r*q - 5*g, 3*q - 3*g + 7 = -2*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5\/3, 1, -3, -356 in increasing order.\nAnswer: -356, -3, -5\/3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 343024.763 - 0.048569.\nAnswer: 343024.714431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -193 = 14*q - 557. Let d = -7 - -11. Calculate the smallest common multiple of q and d.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2360805 is divided by 1180317.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 10*l**2 + 2*l + 33. Calculate k(-5).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 155224679?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2557854 and 6430?\nAnswer: 1286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 202 = 5*c. Suppose 17*j - 22*j - 2*d = 83, 0 = -j - 4*d - 31. Let v = c + j. What is the remainder when 57 is divided by v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.02 - -0.02. Let l = j - -10. Let a = -31388 - -31418. What is the smallest value in 0, a, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppmmmffqmfss. What is prob of sequence msm?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 10*s + 9. Let f be i(-5). Is 33 bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of a**4 - a**3 - a + 5166.\nAnswer: 4*a**3 - 3*a**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -243 + 1933\/8. Calculate the common denominator of m and -61\/865.\nAnswer: 6920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2925 plus -1481873?\nAnswer: -1478948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*y - 1 + 37. Let d be (-16)\/(-7) - (-2)\/(-7). What is the second biggest value in d, -1, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*y**4 - 28849*y**2 + 9*y + 211 wrt y?\nAnswer: -24*y**2 - 57698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42 + -10. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d**(1\/4)\/d*d)*d\/(d*d\/d**(-1\/3)*d))\/(((d**(2\/9)*d)\/d)\/d)**(-2\/39))**(-18) assuming d is positive.\nAnswer: d**(875\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 399 and 14154?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -3. Suppose -4*w = 2*o - 106, 3*w = -k*w + 15. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 12:25 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(4\/9)\/u*u)\/((u\/((u\/(u**(-6)\/u))\/u*u))\/u))**(5\/19))**32 assuming u is positive.\nAnswer: u**(640\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 302 (c) -5555\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 180 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -80, -314, -704, -1250, -1952, -2810?\n\"Answer: -78*c**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -517784 < -517786?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1441 + 7203 - 3*q**3 - 2*q**3.\nAnswer: -5*q**3 + 5762","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*d - 242 = 121. Solve -d*z = -4 - 18 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9221*o**2 + 10043*o wrt o?\nAnswer: 18442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 5) to base 2.\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 14495145 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3690 - -3?\nAnswer: 3693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 19057?\nAnswer: 3811.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304*f - 308*f = 5*j - 37, -113 = -31*f - 4*j for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -235729*f - 235855*f + 471576*f.\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.014 - -0.009. What is w rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + q, 4*q + 4 = 3*q. Suppose 3 = 3*u - 0*u, 4*t + 10 = n*u. What are the prime factors of t\/4 + 63\/6?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 76 + 74 = 0. Let m = d + 37. Let a(q) = 8*q**3 + q**2 - 1. Let r be a(1). Calculate the greatest common factor of m and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) 1\/5 (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jmlpolm. What is prob of sequence mop?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2\/4 - 1395*p\/2 + 4140.\nAnswer: 5*(p - 552)*(p - 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 5*n**2 + 4*n - 2. Suppose -3*i + 5 = 2*i. Let f(l) = -1 - i + 0 + 1 + 3*l. Let p be f(4). Let b(j) = 14*j**2 + 11*j - 6. What is p*w(d) - 4*b(d)?\nAnswer: -d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**3)**(-1\/16)*(c**(2\/3)*c)\/c*c*c**(-4\/13))**(-17) assuming c is positive.\nAnswer: c**(-12427\/624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -882688 times 7\nAnswer: -6178816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 0 + 10*z**2 - 1 + 0*z**2. What is the units digit of i(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 10*h**3\/3 + 250586*h**2 - 150352*h\/3 = 0?\nAnswer: -75176, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 6*m**3 - 3*m**2 + 253*m + 523. What is q(-2)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(-95*1)\/1. Suppose p = 5*k + 3*v, 0*k - k = 4*v - 19. What is the remainder when k is divided by (0 + 2)\/((-4)\/(-14))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 331854.\nAnswer: 2, 3, 19, 41, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -16*v - 1. Let g(j) = 14061608*j - 14061608*j + 5*j**2. Give w(g(m)).\nAnswer: -80*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -505248223636 + 33.\nAnswer: -505248223603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2660, -2333, -2006, -1679, -1352?\n\"Answer: 327*n - 2987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of f**3 - 89*f + 1\/12*f**4 + 5\/2*f**2 + 0. Suppose 0*x - 5*x = 20. Calculate u(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five sixths of a minute?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -124864, -124872, -124880?\nAnswer: -124888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -5*i**3 + 12*i**2 + 3*i - 7311. Let c(g) = 9*g**3 - 20*g**2 - 5*g + 14623. Determine 3*c(d) + 5*z(d).\nAnswer: 2*d**3 + 7314","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10201 - -10199. What is the closest to h in 0.004, -2\/5, 1, -11?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -m - 4*m - 1260, 3*q + 252 = -m. Let z = m + 320. Sort -4, z, -3.\nAnswer: -4, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 14. Let q(n) = 5. Let p(z) = 6*f(z) - 17*q(z). Let b(a) = 3*a**2 + 5. Let m be -23 - (-2 + 15*(-102)\/85). Give m*p(t) - b(t).\nAnswer: -3*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.902 at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/32)\/((-3)\/6)*7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3948620 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s. Let z be t(-7). Let l(y) = y**2 - 6*y - 4. Let v be l(z). Factor 1 + 18*n**2 + 17*n - 3 + 5 + 12*n**v + 3*n**4 - 5*n.\nAnswer: 3*(n + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 124006 + 1?\nAnswer: 124007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 11) to base 7.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 673 - 673. Let h be 4\/(-2) - (-28)\/18. What is the second biggest value in h, -5, a, 1\/6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 4*h = 7*r, 0 = -4*h + 12. Solve -2*q = 1 + r for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 5186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7e - 135?\nAnswer: -b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 at most as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1760 - 1762. Which is the second smallest value? (a) 1\/2 (b) v (c) 3 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121254 divided by -3?\nAnswer: 40418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4654 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/3*3\/24. Let w(t) be the first derivative of g*t**3 - 3\/20*t**5 + 1\/24*t**6 - 3\/8*t**2 + 1\/8*t**4 + 1\/4*t - 1. Suppose w(s) = 0. What is s?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -9\/7?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-99 - (45 + -129)) + 8 + 0\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iixginiiiiiiixigxggi. What is prob of picking 1 n, 1 g, and 2 x?\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3608165 to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4915780 by 5.\nAnswer: -983156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 16*t - 164. Calculate y(17).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 110201 - 58857. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -884 + 904. Solve 4*u + n = 24 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-3)\/((-108)\/(-80))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 - -28. Let j(r) = -r**2 + 3*r + 4. Determine j(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = u - 0. Suppose z + 5563 = 5568. Calculate the remainder when u is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 + 4)*(-3*x + 4*x - 2*x + 1).\nAnswer: 3*x - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -7.507157 * 0.5\nAnswer: -3.7535785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t**4 + 3151*t**3 - 864024*t**2 + 4452689*t - 1059220 = 0.\nAnswer: -1004, 1\/4, 5, 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/902 and -59\/222.\nAnswer: 100122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m**2 - 58*m + 450. Is p(79) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ex when two letters picked without replacement from emxexmexxeex.\nAnswer: 25\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47667122.\nAnswer: 2, 23833561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 11)*(2 - 5 + 2)*(-55*a**5 + 41*a**5 + 52*a**5).\nAnswer: -418*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 359 and 121427083?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1936319207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(225) - (sqrt(225) - sqrt(225)*2 - sqrt(225))) + sqrt(225))\/(sqrt(245)*1 + sqrt(245)).\nAnswer: 6*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 11:48 AM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/4*3*24\/(-924)*11.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*k**4 + 3*k**3 - 3 + 16*k**4 + 2*k**2 - 35*k**4 as d*k**3 + a*k**2 + n*k + q*k**4 + o and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of 5\/12*f**5 - 11*f**2 + 0 + 0*f**3 + 0*f + 1\/8*f**6 + 5\/12*f**4. Find z, given that k(z) = 0.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 710\/1261?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -78075, -78055, -78023, -77973, -77899?\n\"Answer: z**3 + 13*z - 78089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1900) + 0) - (0 + 4*sqrt(1900) + sqrt(1900)) - (5*4*sqrt(1900) + sqrt(1900) + 6*(sqrt(1900) + sqrt(1900) + 2)))**2*4.\nAnswer: 33600*sqrt(19) + 9310576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -7 - 5\/(174\/(-232) - 11\/(-20))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -69530 to the nearest one thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*q - 44 = 51 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, w: 12, b: 7}. What is prob of picking 3 b and 1 j?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 + 6*l + 19. Let p be k(-2). Solve 6 = 3*y - 3*w, 5*y + 35 = -p*w - w for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5\/68 (b) -5 (c) -4.5 (d) 0.7 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 43 (b) 22 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*d = -12*d + 3240. Suppose 4362 = -d*r + 87*r. What are the prime factors of r?\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 196770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8639, -8492, -8347, -8198, -8039?\n\"Answer: v**3 - 7*v**2 + 161*v - 8794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 1, 1.44, -1, 1.02?\nAnswer: 1.44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1280001585.\nAnswer: 3, 5, 5393, 15823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -51, -94, -177, -312, -511, -786, -1149?\nAnswer: -1612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + o**5 + 4 - 4 + (1 - o**2 - 1)*(o**3 - 3*o**3 + 3*o**3) - 4*o + 4*o - 2*o**5 + 2*o**5 - 3*o**5 + 0*o**5 - 2*o**5 + 0*o**5 + o**5.\nAnswer: -4*o**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 522010 (base 6) in base 13?\nAnswer: 160cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -6. Let v be 1 + -2 - -3*d. Let p be -2 + v\/((-2)\/(-11)). Calculate the highest common factor of p and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -62, -68, -52, -8, 70?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -11*q**2 + 34*q - 6. Let g be o(3). Which is the second biggest value? (a) g (b) 0 (c) 4 (d) 44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -364 (b) 0 (c) 1\/4 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.8430611487+-0.09\nAnswer: -0.9330611487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 * -4.9.\nAnswer: -2.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*h**2 + 5*h**2 + 0*h**2)*(-1 + 1 - 2 - 1 + 1 + 2 + (-2 + 3 + 0)*(3 - 4 + 2) - 16 - 18 + 39)*(0 - 3 + 1) in the form w*h + d*h**2 + y and give d.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.35 - -267202033.31215?\nAnswer: 267202032.96215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1108 a factor of 1318746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*o - 3*o + o)*(7 - 5 - 15).\nAnswer: -195*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5.5685, 1\/3, 2\/7, -302 in descending order.\nAnswer: 5.5685, 1\/3, 2\/7, -302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a = -0*a - 15. Let i(z) = 43*z + 19. Let h be i(a). Let n(p) = 30*p + 1. Let l be n(1). Calculate the highest common factor of l and h.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of -o**7\/720 - 7*o**6\/720 + o**5\/20 - 5*o**2. Let t(r) be the third derivative of z(r). What are the prime factors of t(-6)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39\/7, 4, 6, 3\/10 in descending order.\nAnswer: 6, 39\/7, 4, 3\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 59575801240 from 0.\nAnswer: -59575801240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 1)*(4 + -3). Solve -i - 2*r + 11 = -o*r, 4*i + 4*r = 28 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 4 + 17. Let z(s) = 3*s + 17. Let m be z(y). Suppose 3*b = -3*h - 3, 17 = -3*b + 5*h + m. Solve b*f + 15 = -f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1362*r**3 - 2*r**4 + 1362*r**3 - 3*r + (-3*r**3 - 4*r**3 + 5*r**3 + (r + 1 - 1)*(4 - r**2 - 4))*(r + 2*r - 4*r))*(-2*r - 2*r + 5*r).\nAnswer: r**5 - 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeee. Give prob of picking 3 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-780)\/(-135) + (-2)\/(-9)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.558 - 2.558. Which is the third smallest value? (a) 0.5 (b) d (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 u when two letters picked without replacement from {a: 1, u: 5, d: 3, w: 5, j: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, -147, -1\/5, 2\/19 in descending order.\nAnswer: 2\/19, -0.07, -1\/5, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - k = -11381, -3*c + 11371 = -11*k + 7*k. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 11, v: 2, o: 1, g: 1, l: 5}. What is prob of picking 1 g, 1 l, and 1 v?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 2*b - b)*(-4*b - 2*b + 9*b).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + z - 179, 2*g = -5*z + 80 - 13. What is the remainder when g is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-59)\/(-42) - (-42)\/(-28). Which is bigger: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -3, 1, -2, -6 in increasing order.\nAnswer: -14, -6, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1984*h**2 + 0*h**4 - 3957*h**2 + 1969*h**2 + 3*h**3 - h**4 + 4*h to z*h + c*h**3 + t*h**2 + a + s*h**4 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13116 and 8744.\nAnswer: 26232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -3*p**2 + p + 5. Let z(m) = 4*m**2 - m - 5. Let v(g) = b(g) + z(g). Let y(i) = 1125*i + 2. Give v(y(w)).\nAnswer: 1265625*w**2 + 4500*w + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 2*k + 1. Suppose -3*t = 2*t + 20. Let i = -306572 - -306597. What is the remainder when i is divided by z(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -99*x**3 - 277*x**2*z - 2*x*z + 3*x + 1362439*z with respect to x.\nAnswer: -297*x**2 - 554*x*z - 2*z + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -223 (b) 2\/143 (c) -0.2 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -131 + 136. Solve 0 = n*d + 4*u + 32, -3*d + u - 27 = 6*u for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 - -33. Suppose -5*z + o = -z. Suppose -4*j + 7 = -3*p, 2*p - z = j - 1. Solve -p*q = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1192 and 80.\nAnswer: 11920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**3 + 34*q**2 - 17*q + 23. Let x be g(-17). Suppose 2*h - 4 = 4. Suppose 16 = h*r, 0*u - 4*u + 2*r + x = 0. Is 20 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15387, -17903, -22093, -27957, -35495, -44707, -55593?\nAnswer: -68153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4*w**2 - 51*w - 4. Let b(s) = s**2 + 3*s - 1. Determine -6*b(q) + h(q).\nAnswer: -2*q**2 - 69*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 7:44 AM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 + 27 + 2*r**3 - 57 + r**3.\nAnswer: 3*r**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 30947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, o: 5, n: 2, x: 1, h: 3}. What is prob of picking 2 y?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bmt when three letters picked without replacement from {l: 1, d: 1, n: 3, t: 4, m: 6, b: 1}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -27\/16*m**2 + 16*m + 6 - 3\/8*m**3 - 1\/32*m**4. Let b(q) be the first derivative of u(q). Factor b(f).\nAnswer: -3*(f + 3)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21081871*q**2 + 17685985 wrt q?\nAnswer: -42163742*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 3*o = 24, o + 14 = 4*i + 40. Let d = 4 - i. Calculate the lowest common multiple of d and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4697, 4706, 4715, 4724?\nAnswer: 4733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 805*j - 800*j = 10, -4*b = -2*j + 40 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 2:34 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 10:16 PM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p\/(p**(4\/17)*p)*p**(-1\/3))**(-18))**(9\/2))**16 assuming p is positive.\nAnswer: p**(-9504\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yyyppyyyyyyyyyyypypy.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1336238208*k**3 + 12025971552*k**2 - 13957870*k\/9 + 50.\nAnswer: 2*(k + 9)*(77544*k - 5)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28695 (base 11) to base 7.\nAnswer: -226556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 - 8391096*p.\nAnswer: -p*(p + 8391096)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 866927 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*c - 6*c**2 - 2*c**2 + 2*c**2 + 23*c**2 - 7*c**2 to d*c**2 + o + n*c and give n.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0023, -3\/2, 4, 4\/7, 2 in ascending order.\nAnswer: -3\/2, 0.0023, 4\/7, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13703.54ng in kilograms?\nAnswer: 0.00000001370354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7309.\nAnswer: 7309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*b + 12 = 20*b. Sort b, 0, 5 in increasing order.\nAnswer: 0, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*30\/20*4\/6. Let x = 0.5 + -0.48. Let n = -3.98 - x. Which is the nearest to 0? (a) j (b) n (c) -6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49155*g - 49189*g = 510 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 3*i + 28. Let j = i - -7. Suppose 4\/5*d**4 + 14\/5*d**5 + j*d + 0 - 4\/5*d**2 - 14\/5*d**3 = 0. What is d?\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -r - 122 - 125, -2*a = 5*r - 522. Suppose -11*t + 12*t = a. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9\/4)\/((-2)\/8). Let o(r) = -r + 18. Calculate the least common multiple of o(13) and 2 + 5\/((-5)\/f).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 - -0.2. Let s be ((-86)\/(-18) - 5)*1. What is the closest to t in 2\/3, 1\/2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 16b00a59 - -4?\nAnswer: 16b00a60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 102, 101, 92, 69, 26, -43, -144, -283?\nAnswer: -466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -16, -20, -24, -28?\n\"Answer: -4*y - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14.167 + 0.033. Let w = -14.199999908 + c. Round w to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 122 - 30. Does 44 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 - -2120?\nAnswer: 2201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 16. Suppose 2*c = -b*c + 32. Let h(v) = 2*v**2 - c*v**2 + 5*v**2. Let g(j) = 2*j**2. What is g(h(w))?\nAnswer: 2*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2977*l + 187575. Give b(-63).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m + 44*j + 42*j - 81*j - 56, -3*m + 69 = -3*j for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.53 - -5.53. Sort -2\/39, 3\/5, z in descending order.\nAnswer: z, 3\/5, -2\/39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -341 + -2?\nAnswer: -343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, g: 1, h: 2, v: 1, y: 3, s: 3}. What is prob of sequence shy?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 117657*m**3 - 3*m**2 - 3*m + 12. Let x = -141 - -145. Let h be c(x). What is h rounded to the nearest 100000?\nAnswer: 7500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 4*q + 2 + 1, 5*q = -5*y + 15. Suppose -3*z = -y*n + 1145, -70 = -n + 5*z + 159. Is 17 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*(x\/x**(-2\/53))\/x)\/x)**(-1\/7))**(-30) assuming x is positive.\nAnswer: x**(60\/371)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/6, 5, 2\/3, -2\/29?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -40\/11*q**4 + 2\/11*q**5 - 26\/11*q - 2028\/11 + 24\/11*q**3 + 188*q**2 = 0. What is q?\nAnswer: -6, -1, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37 + 40. Suppose p + 0 + 2 = 0. Let y be (-100)\/45 + 4 + p. What is the second biggest value in -0.4, y, j, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 11:55 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 104*p - 929. What is l(8)?\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 5. Let x = -5 + k. Let z = -20962 + 20958. What is the fourth biggest value in 1\/7, 0.1, x, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9925808.\nAnswer: 2, 620363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -68*y - 1516. Determine z(-20).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 5:09 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4842271825473 - 3*o**3 - 4842271825473.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 234 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/6*(-30)\/4. Let p(a) = 2*a**3 - 6*a**2 - 3*a + 4. Is p(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1684861943 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: What is prob of sequence dfd when three letters picked without replacement from {i: 10, f: 1, n: 2, d: 4}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 171 in increasing order.\nAnswer: 0, 3, 171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33252*k + 477285 - 235671 + 74209 = -482225 for k.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - 27. Let k = t + 9. Which is the nearest to -0.2? (a) 0.3 (b) k (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 1)*(-44)\/(-11). Let h = -2.5 - -2.46. What is the second biggest value in h, g, 2\/9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*f = 58 + 2 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zcv when three letters picked without replacement from {c: 1, v: 1, m: 1, e: 1, z: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 16650 = o, -3*a + 41655 = 2*a + 5*o. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -105\/23, -1\/18, -0.011 in descending order.\nAnswer: -0.011, -1\/18, -105\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37643055, 75286108, 112929161?\nAnswer: 150572214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 6 = -2*x, -2*x + 6*x = -k - 18. Let y(u) = -2*u + 29. Let o be y(13). Let d(i) = 2 - 2*i**o + i**3 + 11*i**2 - 2*i**k - 2*i**2. Determine d(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -t + 6*t. Let d be ((-16)\/(-5))\/((-2)\/t). Let y(m) = -m**3 - 15*m**2 + 11*m - 23. Let a be y(d). Calculate the highest common factor of 38 and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (26*m + 8*m - 11*m)*(100*m**2 - 96*m**2 - 52*m**2) - m**3 + 5*m**3 - 3*m**3 in the form v + h*m + s*m**2 + q*m**3 and give q.\nAnswer: -1103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 53376 and 162?\nAnswer: 1441152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 29229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 30\/225*3\/(-2)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/9 (b) -6 (c) -2\/13 (d) 511\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of 2*s**6\/15 - 6*s**5\/5 + 4*s**4 - 20*s**3\/3 + 6*s**2 + 2*s + 7. Factor q(i).\nAnswer: 4*(i - 3)*(i - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/14*1008\/288.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 198 - 141. Suppose -2*l = -5*o + o + 6, -4*l - o = k. Let w = l - -28. Is w a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0934 + -0.0213. Round o to two decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1390150000 to the nearest one million.\nAnswer: -1390000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 36357362047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87494, -87507, -87516, -87521, -87522, -87519, -87512?\nAnswer: -87501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12d33 - -12?\nAnswer: 12d45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 18, r: 2}. What is prob of sequence uu?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.010314 litres in millilitres?\nAnswer: 6010.314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10718, -24527, -47534, -79733, -121118, -171683, -231422, -300329?\n\"Answer: r**3 - 4605*r**2 - r - 6113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(88) - 2*-1*sqrt(88))\/(sqrt(648) + (sqrt(648) - (sqrt(648)*-1 + sqrt(648) - sqrt(648))) - sqrt(648)).\nAnswer: -sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-419.\nAnswer: -1257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 1931594.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1303\/285 + 61\/38. Find the common denominator of 441\/216 - (5 + -9) and r.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1811226072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from epbpqppponbbpoepp. What is prob of sequence oen?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + h + 31. Give o(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one tenth of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -248406, 0.15, 1\/6, 4 in decreasing order.\nAnswer: 4, 1\/6, 0.15, -248406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 75, 110, 145, 180?\nAnswer: 215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -13*3\/24*-20*66\/165\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*j**2 + 3*j**2 - 3*j**2)*(2513 - 623 - 131 + 1100) in the form z*j**2 + n*j + l and give z.\nAnswer: -5718","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b**2 + b + 1. Calculate v(-4).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1415\/10*(-60)\/(-97110) + 2\/(-39)?\nAnswer: 3\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*l - 9*l**2 + 35*l + 41*l.\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of 4*j**3\/3 + 6*j**2 - 40*j + 93. Let g(h) = 0. Calculate h.\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7166 divided by 3583\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 11*o**2 + 15*o - 8. Let d(h) = h**3 - 9*h**2 + h + 1. Let f be d(9). Does 14 divide y(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 169 = 5*o + 5*h, 0 = 2*o + 3*h - 73. Solve 5*f + o = 5*x + 12, 0 = x + 2*f - 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of 75*b**4\/2 + 14*b**3 + 106. Find the third derivative of r(x) wrt x.\nAnswer: 900","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36565*n**5*p**3 - n**2*p**3 + 154*n*p**3 + p wrt n?\nAnswer: 2193900*n**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 10 - 43\/((-8901)\/2254).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 12:53 PM?\nAnswer: 370","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is -3852204.9 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that f**5 + 6*f**4 - 1020*f**3 - 4102*f**2 + 5115*f = 0.\nAnswer: -33, -5, 0, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2177323015 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -119*w**6\/30 + 99*w**2\/2 - 2*w + 33. Differentiate o(t) with respect to t.\nAnswer: -476*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 5*n - d, 3*n = -2*d. Let k be (n\/3 - -4) + (-1 - -1). Suppose 0 = k*r - 368 - 8. Is 9 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24212 (base 5) in base 15?\nAnswer: 807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3486 and 50298?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from gcqcqei.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1877216 is divided by 938601.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32.7 + 38.7. Suppose 0 = 2*h - 4*h + 4. What is the third smallest value in b, h, -3\/2, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1015408, -1015410, -1015412?\n\"Answer: -2*x - 1015406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 288, 579, 870?\n\"Answer: 291*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72327 is divided by 14446.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 413*n - 22082. What is o(350)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*c**2 - c**2 + 0*c**2 + (-6 + 5*c + 6)*(-2*c - c + c) + 0*c**2 + 0*c**2 + 3*c**2 as o*c**2 + d*c + s and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190 is divided by 96.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b + 7. Let p be f(5). Suppose -s = v - 5*s - p, 5*v - s - 142 = 0. Let d(k) = k**2 - 3*k + 4. What is the remainder when v is divided by d(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 120183 * -0.02.\nAnswer: -2403.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.043 - -0.057. Sort -2\/23, r, 2\/3 in descending order.\nAnswer: 2\/3, r, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7807, 15476, 23145, 30814, 38483?\nAnswer: 46152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**2 + 9086898*v + 6880976271867 = 0. Calculate v.\nAnswer: -1514483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -104, -103, -102, -101?\n\"Answer: h - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20442, -40877, -61304, -81723, -102134?\nAnswer: -122537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*d + 9516 = -19*d. Suppose 15*p + d = 41*p. Is p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = i - 3*d, 0*d = i + 2*d - 16. Let w = -8 + i. Calculate the highest common divisor of 24 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12cc (base 14) in base 4?\nAnswer: 303310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 2*k + 1. Let y be x(-3). Suppose -y*b = -3*b + 2*f - 12, -3*f + 17 = b. Is -3*b\/(-3) + 34 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 30 - 114. Let u = q + -32. Let d be 2\/(2\/(1 + 1)). Calculate the highest common divisor of d and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.06 - 0.02. Let i be ((-5)\/(-175))\/(3\/(-15))*-2. Which is the second smallest value? (a) i (b) 0 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 19*u + 5. What is the tens digit of x(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 20, 33, 56, 95, 156, 245?\n\"Answer: b**3 - b**2 + 9*b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o + 36309 - 36298 = -4*o + s, 0 = o + 4*s - 10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of 0*a**5 - 13\/18*a**4 + 21 - 2*a**2 + 0*a + 1\/90*a**6 - 8\/3*a**3. Find l, given that s(l) = 0.\nAnswer: -3, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 21*y + 22*y - 20*y + 69 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l**2 - 6*l + 4. Let m be a(2). Solve -3*f + 27 = -3*q, 0 = f - 6*f + m*q + 40 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z - 1628 = 10*z. Let u = z - 401. Solve -5*t + u = 2*c - 17, c = 4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12291*a**6 + 7*a**5 + 160*a - 341*a**2 - 286*a**2 + 649*a**2 - 7*a**5 wrt a.\nAnswer: -1474920*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*t + 7320 = -7*t. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 26*v**4 - 2 - 8*v**4 - 9 + 2*v**4 wrt v.\nAnswer: 80*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.48 - 3.18. Which is bigger: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fyq when three letters picked without replacement from {q: 1, y: 1, g: 2, f: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -33, 5, -1\/615, 2\/11, -3, -5?\nAnswer: -1\/615","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 454 is divided by 154.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away 10678?\nAnswer: -10679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-46)\/(-322) - (-87)\/126)\/((-3)\/(-72)). Solve 4*v + 5*o + 16 = -j, -3*v = -3*o for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 38, 29, 20, 11, 2?\n\"Answer: -9*l + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002615 to six decimal places.\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 77\/(-1 - 6\/(-5)). Let t(o) = -o**2 - 11*o + 3. Let h be t(-11). Suppose h*z + 2*z - c = 0. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.066483 + -0.439747. Let n = -6.5 - x. Round n to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) 0 (c) -162 (d) 0.4 (e) 0.2 (f) -0.03 (g) -2.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4947169212.\nAnswer: 2, 3, 37, 3714091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 16 = -0*r. Suppose 113 = 4*v + 7*t, v + 4*t - 582 = -574. What is the greatest common factor of v and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 17934, 35869, 53804, 71739, 89674, 107609?\n\"Answer: 17935*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, 1, -0.176, 12, 2\/11?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k**2 - 2*k**2 + k**2 + (1 - 1 + 3)*(2*k**2 + 4 - 4) + 2 - 3*k**2 - 2 - 3 - 185*k**2 - 96*k**2 + 2 + 1 to the form f*k**2 + r*k + w and give f.\nAnswer: -279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/(-171)*(-6)\/24.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9541880 - 2?\nAnswer: -9541882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1214297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*b**2*k**3 - 811*b**2*k + 48*b**2 - 7*b*k**3 - 47*b*k**2 + 21*b wrt k?\nAnswer: -48*b**2*k - 42*b*k - 94*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + 13*s + 19. Let j(t) = -2*t**2 - 28*t - 34. Let k(a) = 7*h(a) + 3*j(a). Calculate k(-8).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - f**2 + 1. Suppose 250*r + 4*o + 31 = 247*r, 0 = 5*o + 35. Let g(m) = -4*m**3 + 4*m**2 - 3. Determine r*g(x) - 3*t(x).\nAnswer: 7*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 225 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d**4 - 137*d**3 - 309*d**2 - 227*d - 50 = 0. Calculate d.\nAnswer: -25, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20050 - 21378 = -2643*p - 3396*p - 254966 for p.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**3 + 59*x**2 + 30*x + 52. Let f be l(-29). Solve -f*m - 8 = -15*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19042?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1252 + 10?\nAnswer: 1302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k + 33. Let z be l(-14). Suppose -3 = -2*p + z. Find the second derivative of -26*n**2 - 9*n**p - 20*n**2 - 6*n + 46*n**2 wrt n.\nAnswer: -108*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/((-3)\/(-81)) - -3) + 3. Let q(n) = -2*n**2 + n. Let v be q(-1). Let j be 1*33\/v*-1. Calculate the highest common divisor of s and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 16*x + 57. Let m be z(11). Let s = -1 - -1. Let y = s + m. Solve -2 = 2*r + 2*c, 5*r = 4*r + y*c + 14 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(88) - (sqrt(88) + (sqrt(88)*-2 - sqrt(88))*5)) + sqrt(88) + (sqrt(88) + (sqrt(88) - 1*sqrt(88)))*-3)\/(1*sqrt(200)*4).\nAnswer: 13*sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 6*a**2 - 12*a + 8. Give k(8).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -1.26\nAnswer: 5.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 10*b**2 - b - 14. Let i be g(-10). Put i, -1, -11 in increasing order.\nAnswer: -11, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(192) - -2*sqrt(192))**2*-2 + ((sqrt(48) - (-1 + sqrt(48)))**2 - sqrt(3)*-1*-3).\nAnswer: -3*sqrt(3) + 10369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cq when two letters picked without replacement from {r: 1, c: 5, y: 1, q: 1, k: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66310668 and 825444.\nAnswer: 198932004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -1) + (-2 + -5 + 17 - 2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 53*s**2 - 92*s - 110. Calculate the lowest common multiple of 8 and a(-8).\nAnswer: 16072","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2919 = -5*g. Let q = g + 2065\/2. Let v = -61 + q. Which is smaller: v or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*-0.0798\nAnswer: 0.399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10941 - 10941. What is the biggest value in u, -3, 327, 3?\nAnswer: 327","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/6 (b) -0.07 (c) -0.1 (d) 0.4 (e) -234417\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.5 + 0.5. Let r be (-6)\/(-9) - (-5)\/(-3). What is the nearest to p in r, 4, -2\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 31144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -8. Let u be ((-4)\/12)\/(2\/r). Which is bigger: 1\/4 or u?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 7. Let u(k) = k**2 + 8*k + 14. Let y be u(w). Let n(s) = s**2 - 2*s - 15. Let z(a) = a + 7. Let m(i) = -6*n(i) - 13*z(i). Determine m(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16855201 a multiple of 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 8*v**2 - 223*v + 119. Let j be t(-19). Calculate the highest common factor of j and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*o, -766 = 13*p - 16*p - o. Suppose 5*y - 8*b + 9*b = p, 3*y + b - 152 = 0. What is the lowest common multiple of 104 and y?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 5*u - 560. Is 22 a factor of (3\/3 - 3)\/(4\/u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -115 - -119. Suppose -i*v = -417 - 51. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 y, and 1 g when three letters picked without replacement from jljgjgjgggygy.\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + 10*p + 69. Does 30 divide i(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 * -64\nAnswer: 0.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -267, -696, -1125, -1554, -1983?\n\"Answer: -429*v + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 339, -195, -731, -1269, -1809?\nAnswer: -2351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -533?\nAnswer: 213.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -159685, -319349, -479013?\nAnswer: -638677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.8*-2.017\nAnswer: 1.6136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*j - 289 = 4*j, -739 = 5*k - 3*j. Let n = 220 + k. Calculate the least common multiple of 20 and n.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 5*p**2 + p + 3. Suppose 27*b - 120 = -228. What is h(b)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 11 = -5*a. Suppose -1 = -k, -3*k - 1 - 2 = -2*o. Let n = a - o. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2496)\/sqrt(3) + -2.\nAnswer: -2 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/183 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/18*-4*(-18)\/12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/10 and 73\/1890.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 209341 a multiple of 384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13344, 13215, 13086, 12957, 12828?\nAnswer: 12699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -559, -1685, -2811, -3937, -5063?\n\"Answer: -1126*f + 567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**4\/9 - 124*x**3\/3 - 17666*x**2\/9 - 11408*x\/3 - 16928\/9.\nAnswer: -2*(x + 1)**2*(x + 92)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 45*s - 39*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 2:23 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6674 and 639?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 3. Solve -4*r - 2 + 1 = 5*k, r + 3*k - m = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (0 - (308 + -307 - (0 + -48)))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 248817 = 2*l, -q - 18*l + 248817 = 2*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.044? (a) -104\/9 (b) 0.3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*i - 25*i - 4*u + 103745 = 0, 5*i - 3*u = 172918. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n**2 + 5*n - 1. Let g(v) = 2*v**2 + 6*v - 1. Let w(y) = 4*g(y) - 3*p(y). Suppose 4*b - 12 = 0, -5*j - 12 = -7*j + 2*b. Determine w(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4983*f - 56931 + 395775 for f.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 42\/28*(168\/(-45) - -4). Let z be (1\/(-3))\/(10\/(-12)). Find i, given that -z*i**2 - a + 4\/5*i = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -19 and -253\/14 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n - 7*j + 4*j + 15, 3 = 3*n + 3*j for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -0*c - 16. Let w be 1 + -2*(-2)\/c. Let l(v) = v**2 - 3 - v**3 - 4 + 200*v - 201*v. What is l(w)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 + 1)*(-36*o**3 - 34*o**3 - 6*o**3) - 3*o**3 + 0*o**3 + 0*o**3)*(4 - 4 + 2).\nAnswer: -310*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 5 (c) -350\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by 2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 29*v + 2. Let f be s(6). Calculate the greatest common factor of 11 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, p: 3, k: 1, v: 4, j: 6}. What is prob of picking 1 v and 1 p?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28\/5*n - 2\/5*n**2 - 98\/5.\nAnswer: -2*(n - 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - -6)*1*2. Differentiate -2 - 3*f**4 + b*f**4 + 6 with respect to f.\nAnswer: 20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -44247, -88455, -132663, -176871, -221079?\n\"Answer: -44208*j - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-1787.\nAnswer: 5361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 960666 rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(11) - (sqrt(110)*2)\/sqrt(10)) + sqrt(44) + -4)*4.\nAnswer: -24 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 80439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-6)*-8*(-72)\/(-112).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 13*p + 3. Let v = -4093 + 4089. Let f(o) = 90*o + 21. What is v*f(k) + 27*l(k)?\nAnswer: -9*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 117 and 366405.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 26*f**3. Let h(c) = -651*c**3. Give -124*a(w) - 5*h(w).\nAnswer: 31*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 12*j - 906. Give y(55).\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -3*n - 15. Let w = 6 - 12. Let m be y(w). What is the common denominator of (-177)\/(-18) + 3 - m and 97\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(-4 - 129*q**2 - 89*q**2 - 2*q + 216*q**2).\nAnswer: 2*q**2 + 2*q + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 977 - (8 + (-4 - 3)) and 8.\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -208*m**2 + 96*m - 48. Let b(p) = -24*p - 120. Let h be b(-7). Let t(f) = f**2 - 2*f + 1. Let s(v) = h*t(v) + r(v). Let n(i) = i**2. Give n(s(o)).\nAnswer: 25600*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + ((-4)\/14)\/(20\/(-70)). Find the third derivative of 6*n**2 - z*n**2 + 32*n**4 + 51*n + 7*n**3 - 7*n**3 wrt n.\nAnswer: 768*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 135 + -16603\/123. Is 0 > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 + -16. Suppose 0 = -3*c - 9, -2*y = -0*y + 4*c - 34. What is the remainder when y is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -250 + 6d7c?\nAnswer: 6b2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**(-1\/2))**(-3)\/((h\/(h*h**(-1\/6)))\/h**(-5)))\/(h**(-2\/13)\/(h**(-3)*h))**39 assuming h is positive.\nAnswer: h**(-245\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 17 - 8 - 9 + 40*u + 39.\nAnswer: 40*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j**5*p*x - 27211*j**3*x - 9*j**3 - 163*j**2*p*x + j**2 - j*p*x + 4*j + 2*p*x - 10*x - 1 wrt j.\nAnswer: -120*j**2*p*x - 163266*x - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5271?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49 and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*c - 102*c = -1078 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-242 + 492 - 243 + 10*g)*(-3 + 4 - 2).\nAnswer: -10*g - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1543 - -945. Let i = 604.985 + g. Let l = -7 + i. Round l to three decimal places.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -403475\/9 greater than -44831?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -4096971 to the nearest 1000.\nAnswer: -4097000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2401 and 4802.\nAnswer: 4802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -8 - 0*1\/(-3). Let o be (-2)\/v - 2\/8. Let m(f) = f**3 + f**2 + 8. What is the units digit of m(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0, 7, 333, -4, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29076223651.4800006 - 29076213731. Let w = 9920.56 - b. Let g = -0.08 + w. Round g to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.01 - -1.99. Let j(x) = x**2 - 7*x - 11. Let g(b) = -2*b**2 + 6*b + 12. Let z(d) = 2*g(d) + 3*j(d). Let l be z(-7). Put c, 4, l in increasing order.\nAnswer: c, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -356777\/28 - -89203\/7. Suppose 5*u + 20 = 0, -2*u - 3 = 4*h + 17. Which is the second biggest value? (a) h (b) y (c) 1 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 43*k + 400. Let m = 50 + -14. What is the remainder when l(-6) is divided by m?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3006 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-6\/13)*v*v**(4\/19))\/(v**(1\/13)\/v**(-2\/7)))**(-2\/17) assuming v is positive.\nAnswer: v**(-282\/1729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15822 = 612*u - 582*u + 263*u for u.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2289843 to the power of 1\/2, to the nearest integer?\nAnswer: 1513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - ac7?\nAnswer: -acb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 11:25 PM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from diiiibbbwdb. What is prob of picking 1 i, 1 b, and 1 w?\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**2 + 2*r + 0*r - 2*r.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 54728*k**5 - 762*k + 36 wrt k?\nAnswer: 1094560*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 2937*j = -2942*j + 35, -5*j + 10 = -i - 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - k + 0*k = -8, -5*v + 2*k - 10 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**3 + 3*o - 3*o + (2*o - o - 2*o)*(o**2 - 5*o**2 + 2*o**2) + 0*o**2 + 0*o**2 - o**3 - o**3 - o**3 - 3*o**3.\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (145\/(-15))\/(2\/(-6)). What is the greatest common factor of h and 464?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xfx when three letters picked without replacement from fxxwaxwaffxfx.\nAnswer: 20\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 5*m = -353141 - 47284, -4*m + 20 = 0. What is the thousands digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2\/5*b**2 + 0 + 2\/5*b = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 2*k + 24. Let u be c(6). Suppose -3*w + 294 = 3*y, -3*w = -u*w + 4*y - 292. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 12208, 24183, 36158?\n\"Answer: 11975*v + 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/36)\/5*-18.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1110 + -424017\/382. Let h = 16241\/764 - n. Find the common denominator of h and 13\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 114 and 36.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6*4\/12*9\/6. Let y be 13 - (3 + b + 1). Solve -y = 3*r + 3*v, -3*v + 0 = 4*r + 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*a + 2*t = 25*a - 6, 5*t - 13 = -2*a. Suppose 0 = d - 4*d + a*w + 8543, 4*d - 3*w - 11379 = 0. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24be (base 15) to base 2\nAnswer: 1111010010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f - 17. Let j(w) = -2*w + 9. Let t(g) = 4*b(g) + 7*j(g). Let h(u) = 2*u + 4. Calculate -6*h(o) - 5*t(o).\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 8*n + 0*n)*(-4 - 6 + 9)*(-3 - 1 + 3)*(0*n - n + 3*n)*(2*n + 5*n + 4*n).\nAnswer: -198*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -12, -86, -174, -282, -416, -582?\n\"Answer: -k**3 - k**2 - 64*k + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/1122 and -23\/22.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94011?\nAnswer: 3, 31337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 + 4)*(-h**3 + 0*h**3 - 3*h**3 + (2*h**2 + 0*h**2 + h**2)*(-2*h + 5*h - h)).\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - 204\/(-85) - (-32)\/20. Which is bigger: -6\/7945 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25792 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3 = x, 11 = 3*x + 4*k - 8. Suppose x = w + 1. Put w, 0, 1 in descending order.\nAnswer: w, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 4*m + 4636 = 0, -2*m + 6*m + 1159 = x. Is x a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 13\/1665?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1377 and 102?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15.87 + -11.87. Let a = -0.27 - 15.73. Sort 2\/3, a, k in increasing order.\nAnswer: a, 2\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*h + 4*h + 10. Find the third derivative of -h*a**4 + a**2 + 70*a**3 - 70*a**3 wrt a.\nAnswer: -120*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64\/(128\/18) - (3 - -1) - 246\/50?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9987201?\nAnswer: 3, 7, 158527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/3561 and -74\/33?\nAnswer: 39171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2 - 191421*n - 191422.\nAnswer: (n - 191422)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-4)*328\/(-41).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1732 - 9*n - 7*n + 229 + 15*n to h*n + b and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2\/15*p**2 - 4\/15 + 2\/15*p = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 23*b - 1. Let g be u(2). Let p = g + 36. What is the greatest common factor of 27 and p?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 43*d**2 + 3*d + 6. Let k be v(10). Let j = -2775 + k. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 12*n + 1. Let c be (1 + -10)*(-5)\/(-1). Calculate the remainder when w(2) is divided by (-10)\/c - 79\/(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 538002 and 36.\nAnswer: 1076004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 6 + 1)*(0*b - 2*b - 4*b) in the form l + s*b and give s.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3343, 27121, 91663, 217351, 424567, 733693, 1165111, 1739203?\nAnswer: 2476351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/1)\/((-155)\/(-31)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g = -13*g + 6. Suppose 10 = 3*h - a - 13, -4*h - g*a = -24. What is the least common multiple of 5 and h?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 271398 and 5574?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 7*d + 1. Let x be r(3). Let i = 28 - 40. Is x at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 4 = 3*b. Let h(s) = -4*s**3 - s**2 - s. Let z be h(b). Factor 1 - 2*g - 2*g**5 - 1 + z*g**3.\nAnswer: -2*g*(g - 1)**2*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) 1 (b) -2 (c) 14.84 (d) -1\/4 (e) -0.171\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 4, p - 4*t - 54 - 115 = 0. Suppose 3*k - 6*k + p = 0. Suppose -2085 = -k*d + 50*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8073412?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-30)\/(-450)*-1*1*25\/(-2135)?\nAnswer: 2\/427","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/12 and -5\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -101 - -105. Solve -3*d - t*o - 3 = -0*d, -d = -2*o - 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (19 - 27) + (-2 - -21).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2*(-1 + (sqrt(2299) + (sqrt(2299) + 1*(1 + sqrt(2299)))**2)*-5))*6.\nAnswer: -551850 - 3300*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that g**3 + 132398*g**2 + 264793*g + 132396 = 0.\nAnswer: -132396, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83 + 50*u + 50*u - 97*u.\nAnswer: 3*u - 83","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7527661 (base 8) to base 13.\nAnswer: -555499","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7906736 to the nearest integer?\nAnswer: 2812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19820.\nAnswer: 2, 5, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 3*a - h - 19, 5*h = -a - 19. Suppose a = -s + 180. What is the second derivative of 5*y - 179*y**3 + 5*y**4 + s*y**3 wrt y?\nAnswer: 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -8 - 4*s**2 - 235*s - s**3 + 489*s - 251*s. Give p(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50) + -3 + sqrt(18)\/sqrt(81) + -4 + ((sqrt(6) - sqrt(6)*1)\/sqrt(3) - sqrt(2))**2.\nAnswer: -5 + 16*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -284*j**3 + 590*j**3 - 2*j**4 - 1 - 291*j**3 in the form g*j**3 + b + n*j**4 + m*j + c*j**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 136, 279, 424, 571?\nAnswer: 720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7233592 to the power of 1\/3, to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 65*n**2 + 134*n - 55. What is x(-67)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 5*o + 3*n, -4*o - 85*n + 82*n - 2 = -11 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 391 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4 = 0, -5*m - 5 = -3*k - 3*m. Suppose q - k*b = -6, 5*b - 24 = -q - 2*q. Let i = 0 + 4. Solve -i*h + 2*w + 2 = -6, -q*h + 1 = w for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(847) + -5 - (sqrt(70)\/(-2*sqrt(90) + sqrt(10) + sqrt(10)))**2.\nAnswer: -11*sqrt(7) - 87\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 49 - 48. Are j and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-2) - 7\/(-2). Suppose -i - i - 4 = 0. Let a = 2 - i. Solve s*o = a*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3*j - 232 = 22, 4*t + 3*j = 214. Let l = -32 + t. Suppose -3*p = -2*r + l + 34, 4*r - 4*p = 112. What is the greatest common factor of 40 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23404.\nAnswer: 2, 5851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**3 - o**3 + 6*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14462\/95 - -2178\/19. Do k and -39 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*h - 21 = -v, 12 = 2*h + 2*v. Let m(p) = -15*p**2 - 2*p - 6. Let z(k) = 13*k**2 + k + 4. Let w(o) = 5*m(o) + 6*z(o). Is w(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 211712 and 4135.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-13)\/(-17))\/((-26)\/7280). Let w = -214 - b. Factor -w*p**2 - 32\/17*p - 128\/17.\nAnswer: -2*(p + 8)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) 12 (c) -2\/7 (d) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = 2*w - 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 4*w - 103 = 29, 4*w = -4*q + 204. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 3*y**2. Let i(q) = 2*q**3 + 4*q**2. Suppose w - 8 = -24. Let j = 13 + w. Calculate j*i(g) - 4*l(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 4*k - 82, 5*l - 2*k = 2*k + 233. Let r = 76 + -74. Let t be 2*(0 + 17 - r). What is the greatest common factor of l and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-6)\/p**(-3))**(2\/5) assuming p is positive.\nAnswer: p**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9866083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -5*h + 58, 4*h + h - l - 73 = 0. Let k be 112\/196 - (-20)\/h. Solve -5*w + k + 3 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*l**2 + 58*l**2 - 31*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.203029 rounded to 2 decimal places?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (88\/121)\/((2\/(-11))\/(-1)). Solve -4*t - 4*v + 4 = 0, 2*v + 8 = 5*t - i for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -696394 - -696407. Let u = -10066 - -90721\/9. Which is smaller: q or u?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 4, -2.3, -1282?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w*w**(-2\/5))\/w)\/w)**(-1\/22)*(w**1*w*w)**(-20) assuming w is positive.\nAnswer: w**(-3299\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38604 + 115811\/3. Let n = 0.5 - 1.1. Which is the biggest value? (a) y (b) 4 (c) n (d) 1.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 452256 (base 10) to base 14.\nAnswer: bab60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 47c32 (base 15) to base 14\nAnswer: 5d5a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*1\/4*12. Suppose -4*l - 24 = 4*v, 3*l + u = l. Which is smaller: 1\/4 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) + 0 + (sqrt(1331) - (sqrt(1331) - sqrt(1331)*3 - sqrt(1331)) - sqrt(11)) - ((-5*sqrt(121) + sqrt(121))\/sqrt(11) + sqrt(99)\/sqrt(9)*4))**2.\nAnswer: 32076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17573 is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 224, 445, 676, 917?\n\"Answer: 5*l**2 + 206*l + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -439, -1937, -4441, -7951, -12467?\nAnswer: -17989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9397 divided by -48.\nAnswer: 9397\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8262 - 22*m + 8262 + 3*m + 9*m + 7*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 5 + 1 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 8*f + 3*f - 229*f**3 + 242*f**3 + 11*f**2 + 21. Let u be (-112)\/18 - (-4)\/18. Let y(s) = 7*s**3 + 6*s**2 + 6*s + 11. Calculate u*d(a) + 11*y(a).\nAnswer: -a**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.70544712 rounded to 4 dps?\nAnswer: -1.7054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, d: 3}. Give prob of picking 2 y.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 5:20 PM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4226494.\nAnswer: 2, 67, 31541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 34 + -19 - (11 - 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -25, 3, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 1388952?\nAnswer: 1388952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millennium in decades?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -1\/3 (b) -0.5 (c) 2\/195 (d) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 + 29 + 17 = 21*h. Solve 3*i - h*g - 9 = 0, -2*i = -0*i - 3*g - 7 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d**2 - 1316*d - 24067. Give j(-18).\nAnswer: -1027","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/5 + 808*u\/5 - 10270.\nAnswer: -2*(u - 325)*(u - 79)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - 3\/(-27)*61. Let k = 9 - g. What is the closest to -2\/7 in -1, k, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.02, -0.8, -212, -792?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 685 + -723. Which is greater: 3 or l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3e (base 15) to base 11\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + 0.4827014.\nAnswer: 0.5827014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(125)*-6*4)**2.\nAnswer: 72000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 651649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -425295900 to the nearest one hundred thousand.\nAnswer: -425300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((20\/(-6))\/2)\/(2\/((-12)\/5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1307153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 452\/68704*(-19)\/2.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b**3 + 24*b**2 + 4*b - 12. Calculate h(6).\nAnswer: 444","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-4) + (-7)\/(-4). Let a be (-2468)\/120 - y\/(-12). Let w = a + 20. What is the second biggest value in -5, -1\/4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*c + 5451 = -6*c. Suppose -12*w + c + 15 = 0. What is the highest common divisor of 42 and w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 28*l**3 - 4*l**2 + 11*l - 5. Give j(1).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y + 6*j - 8*j + 22, 8 = -28*y + 25*y - 4*j for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n - n - 21*n + 3*n - 5*n + n + (-2*n + 2 - 2)*(-3 + 4 + 0) in the form s*n + z and give s.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/o**(3\/2)*o\/(o\/(o**(-2\/11)\/o*o)))\/(o\/(o*o**(1\/5)*o*o*o))**3 assuming o is positive.\nAnswer: o**(1091\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2414 and 39334.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 255987, 511751, 767515?\n\"Answer: 255764*o + 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2088 and 159152.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -1\/2 (c) 0.1 (d) -3 (e) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42 + 45. Suppose -6*n + w*n + 23 = r, 0 = 3*r - 2*n - 25. Let u be -3*(2 - 1)*-1. Sort r, 2, u in ascending order.\nAnswer: 2, u, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -16*p + 4. Let n be z(-3). Calculate the greatest common divisor of 13 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of 1\/20*j**5 - 9\/2*j**2 + 0 + 1\/3*j**3 - 9*j - 1\/3*j**4. Let q be p(5). Solve 5*z = -x - x + q, 2*z = x + 5 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1011.\nAnswer: 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 485*f**2\/4 - 1089550*f - 22465.\nAnswer: 5*(f - 8986)*(97*f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1206871911033 - 8?\nAnswer: -8.1206871911033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide (-1*(0 + 1))\/(1220058\/305018 + -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a decade in years?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201080834.\nAnswer: 2, 53, 1896989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 24*t**2 - 211*t + 34. Let o be z(31). Calculate the greatest common divisor of o and 1144.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 - 3*k**2 - 8*k**2)*(0*k**3 + 0*k**3 - k**3 + 0*k**3 + 0*k**3 + k**3 + (0*k + 2*k - k)*(-1 + 1 + k**2)).\nAnswer: -10*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 91300*g - 182602. Give m(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 42*j**2*y**4 - 1215*j**2*y**2 + 5*j**2*y + 21*y**4 wrt y?\nAnswer: 1008*j**2*y + 504*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b**2 - b + 3. Let v(z) = 4*z**2 + 3. Let j(u) = 5*n(u) - 4*v(u). Suppose 6*g + 6 = -18. Let m be (-1 + g\/3)*(3 + 0). Calculate j(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 626102119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.28983 rounded to two decimal places?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttta when four letters picked without replacement from gttatttqt?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4703 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4021 is divided by 38.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 26, 37, 52?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 9 = -3*p, 5*p + 9 = -f + 24. Suppose 0*g + g - 18 = -2*v, 4*g = -p*v + 77. Solve -4*d - g = -0*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mwm when three letters picked without replacement from dmdmmwwwwdm?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 46848084878514 plus 1?\nAnswer: 46848084878515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1944 - -0.57.\nAnswer: -1943.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 4\/3 (c) 16 (d) 5 (e) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 3*g**2 + 6*g. Let z be c(-5). Suppose -5*d - z = 0, -3*v - 6*d - 7 = -2*d. Solve 0*b + 15 = -v*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6466*b*h**5 - 44*b*h**2 - 138*h**6 + 10860*h**2 wrt h?\nAnswer: 387960*b*h**2 - 16560*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/(-5))\/(5\/50). Suppose -3*h - t = -5*h. Let j be ((-2)\/h)\/(2\/(-24)). Solve 16 = b + 3*b - j*f, -b - 4*f + 9 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 93, 187, 287, 393, 505, 623?\n\"Answer: 3*h**2 + 85*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q - 6. Let f be z(6). Suppose f = 2*p + 4*m - 48, p + m = 20 - 1. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 13*v**2 - 799*v + 4763. Calculate the smallest common multiple of 161 and m(6).\nAnswer: 3059","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -71.44 - -74. Let z = o - 3.2. What is z rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 0, -s + d = 3*s. Let v be -1 - (-1)\/14*-6. Let z = v + 8\/7. What is the nearest to s in z, -0.3, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b + 2327*l - 2331*l + 12, l - 8 = 2*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h**2 + 3*h - 2. Let y be s(-5). Let m = y + 93. Solve 0 = -6*p - m + 13 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9511514 months in years?\nAnswer: 0.16259595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 1026271?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/(-18)*(-2844)\/(-57354)*3\/6.\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 9 = -5*j, -2*g = 2*j - 4*j + 18. Let a = -9 + 11. Solve -j*y - 13 = 5*h - a*h, 0 = 5*y + 4*h + 9 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 409 from -59.2.\nAnswer: -468.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -594.01\nAnswer: -237.604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3787507590?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6354060*y**5 - 10113876*y**2 wrt y?\nAnswer: -381243600*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(30)*-2)\/((sqrt(70)*3 + sqrt(70))\/sqrt(7)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 162525 and 325050.\nAnswer: 325050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3*u = 26. Suppose -u = -5*w - 4*o, -w + 3*w - 4*o + 12 = 0. Let t be (-2)\/6 - 2\/(-6). Sort w, -2, t in increasing order.\nAnswer: -2, t, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*u**2 + 317*u wrt u?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*w = 124*w + 104 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 5*t**3 + 57 - 29*t - 4*t**3 - 29*t**2 - 3*t. Let q be y(30). Let w(v) = -2*v**3 - 3*v**2 + 3*v - 2. Calculate w(q).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 94.981?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 102 = 100. Let z(h) = 4 - 2*h + 5*h - l - 2*h. Let d(o) = o + 2. What is 5*d(n) - 6*z(n)?\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r**2 + 141 + 4*r**2 - 189.\nAnswer: -2*r**2 - 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.671 + -0.171. Which is the third biggest value? (a) 1\/6 (b) h (c) 3 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227227 is divided by 5146?\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - r - 7. Let y be k(-4). Let b = 77 + y. Let s(x) = 6*x**2 - 19*x + b*x + 10*x. Calculate s(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1336*c**4 + 1335*c**4 - 149*c**3 - 2*c**2 - 109*c**3 in the form w*c**4 + r*c**3 + b + y*c**2 + s*c and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 82, -1, -2\/3959, 7\/5?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 a when four letters picked without replacement from naknanaaax?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v\/v**(8\/13))*v)\/(v**(-14)*v*v*v)*(v*v*v\/v**(-1\/5))**(-37) assuming v is positive.\nAnswer: v**(-6811\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2367.\nAnswer: 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 25*m + 363. Let s be x(-14). Solve s*r + 3*r = 13*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2*a - 2 = 0. Suppose -3*u = -2*z + 11, u + 3 = -0. Which is bigger: z or a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1013011 - -100?\nAnswer: 1013111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/5))**(-4\/3) assuming x is positive.\nAnswer: x**(4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and 65842498235.\nAnswer: 65842498233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*y + 21*y - 15405 = 281*y for y.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 70*i**3 + 209*i**2 - 228*i - 704. What is m(-3)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2231, -4519, -6807?\nAnswer: -9095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.092, 148, -5837 in increasing order.\nAnswer: -5837, -0.092, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 - -1) + -2 + 182. Suppose -5 - 1 = -2*n. Is n\/6*(2 + j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-14) + 26\/(-7). Let c(z) be the first derivative of -z**2\/2 - 4*z - 1. Let s be c(d). Round s to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -489 + 787. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 155070 - 75b?\nAnswer: 154511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mpppbpbpbpbbbbapbb. What is prob of sequence mpa?\nAnswer: 7\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 606448298.\nAnswer: 2, 83, 3653303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qxc. Give prob of sequence qc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -47784 to the nearest one thousand.\nAnswer: -48000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 14, 44, 94, 170, 278, 424?\nAnswer: 614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(4032) + -2)*-1 + (sqrt(4032) + sqrt(4032) + 4*(sqrt(4032) + -3) - sqrt(4032)) + sqrt(4032) + sqrt(4032))*-2)**2.\nAnswer: -9792*sqrt(7) + 580897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.5 - -2. Let t be ((216\/(-10))\/3 - -2)*5. Let z be (-6)\/10*t\/(-39). Sort i, z, 0.1 in ascending order.\nAnswer: i, z, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43638, 2\/5, -4 in increasing order.\nAnswer: -43638, -4, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19642? (a) 0.0324 (b) 1\/2 (c) 2\/11 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*i - 8*i - 16*i.\nAnswer: -38*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*p. Let q = 2 + p. Calculate the remainder when -2*-13*1\/q is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.148 + -0.252. Suppose 5*w - w = -20. Which is the nearest to -1? (a) d (b) -0.2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1579 + 3087\/2. Let w = 601\/35 + -393\/14. Find the common denominator of w and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/120 and 33\/140?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 890478 greater than or equal to 890481?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5665.132ml in litres?\nAnswer: 5.665132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from irrrriir. Give prob of picking 2 i and 1 r.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2569759 a multiple of 208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 5*q = 4*u + 5, 4*u + 1 = -q. Suppose -d - 1 + 8 = u. Put 5, -3, d in increasing order.\nAnswer: -3, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.94 + -0.06. Let r = f + 3. Which is the closest to r? (a) -3 (b) 4\/7 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42999 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1673481*u**3 - 1118420?\nAnswer: 5020443*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/142025 and -26\/69?\nAnswer: 426075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2 - 2 - 3 + v**3 - 4 with respect to v.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 156*s - 4. Let c(h) = -8*h. Give d(c(z)).\nAnswer: -1248*z - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 5:29 PM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9617488\/51 bigger than 188579?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1616184?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**5 + 50*m**4 + 282*m**3 + 526*m**2 + 416*m + 120.\nAnswer: -2*(m - 30)*(m + 1)**3*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3705, -3696, -3677, -3648?\nAnswer: -3609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 14. Let a = v + -1. Let l be 4 + 0\/(-1 + 0). Solve l = -5*m + 2*p, -a = 3*m + 2*m - p for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 552611 is divided by 25.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 13, p: 6}?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000448 rounded to seven dps?\nAnswer: -0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 30197 a multiple of 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/21 + 18\/14. Let z be (-1 + b)*3\/(-6). Suppose -6*f + 2*f + 76 = z. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: cde1 (base 16) to base 4\nAnswer: 30313201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**3 + 261*g**2 + 12*g + 6. Let q(j) = -3*j**3 + 261*j**2 + 10*j + 5. Give -5*d(o) + 6*q(o).\nAnswer: -8*o**3 + 261*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6281 or 6279?\nAnswer: 6279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -4*q - 12. Let i be (-2)\/1 - (-6 + (-61 - -3)). Let j(l) = -125*l + i*l + 65*l. What is j(r(y))?\nAnswer: -8*y - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 4) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1525 (base 8) in base 3?\nAnswer: -1011121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 0*r + 0 + 0*r**2 - 2\/7*r**3 + 2\/7*r**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9\/10 of a microgram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 144*n**2 - 43923*n + 915 = 0.\nAnswer: 1\/48, 305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34400 and 430344?\nAnswer: 43034400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + 0. Suppose -p - y*p = 0. Let n be 2 - ((4 - p) + -5). Solve 0*r + 5*x - 24 = -2*r, 0 = r + n*x - 14 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 104.6 and 0.1055?\nAnswer: 11.0353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2066*w + 2070*w - 4132*w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 3:38 AM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -125 - 123*g**2 - 125*g**2 - 119*g**2 + 360*g**2 to u + m*g + y*g**2 and give u.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 6. What is the third biggest value in w, 5, -2\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.61 and 0.2.\nAnswer: -0.522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 93, 143, 193, 243, 293?\nAnswer: 343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y**2. Let n(a) be the second derivative of -4*a**3\/3 + 12*a. What is c(n(l))?\nAnswer: 192*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**2. Let g(q) be the third derivative of -9*q**2 - 1\/24*q**4 + 0 + 0*q + 0*q**3. What is g(h(m))?\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 2*y - 2. Let n be r(-4). Let k = n - -29. Let x be -7 + k + (-17)\/(-5). What is the closest to x in -3, 0.4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 387 and 15.\nAnswer: 1935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 3 - 6. Let p be (44\/1408)\/(-1 - x\/(-2)). Is p > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -7 and 3\/74 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.98572 rounded to one dp?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 27062915 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1726796.5, 0.08, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 8:04 PM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 724 is divided by 119?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -447 divided by -2?\nAnswer: 447\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6, n: 4}. What is prob of sequence cnc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of t**4\/3 + 5*t**3\/6 - 3*t**2\/2 - 31*t. Let x be r(1). Let v(c) = c**3 - 5*c - 5*c**2 + 8 + 4 - 3. Determine v(x).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 - 13. Suppose -5*f + 5*h + 235 = 0, 5*f - 4*h = -h + 225. Let m(j) = j**3 - 42*j**2 + 3*j - 102. Calculate the lowest common multiple of d and m(f).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 728 and 2600?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 263422\nAnswer: -2\/131711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 6*l**2 + 2*l - 8. What is the units digit of u(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**4 + 3945*o**3 - 1298889*o**2 + 1294947*o = 0. Calculate o.\nAnswer: 0, 1, 657","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - 5*m + 11. Let z be h(-6). Solve z*c = 2*q - 6, c - 3 = -2*q - 9 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4343 * 0.4\nAnswer: 1737.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -12 (c) -2\/3 (d) 2\/127 (e) 0.03 (f) -547 (g) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.2 or -1.77?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 581767, 1163533, 1745299?\nAnswer: 2327065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 8 = -3*j. Suppose -j*z = -z - 353. Let v = -230 + z. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v + 9. What is the remainder when 16 is divided by p(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 20 - 2. What is the first derivative of -6*c - f - 1 + 15 wrt c?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 r when three letters picked without replacement from rrergzrrgu?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 18*w**2 + 17*w + 21. What is s(17)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 12*m + 4. Let i be x(11). Let q be (-1)\/(i*3\/27). What is the smallest value in -1, 3, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmvvmmmmm. What is prob of sequence mvvm?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -7*f**3 - f**2 + 2*f + 3. Let j be 3\/9 - 21\/9. Let p be k(j). Calculate the highest common divisor of 34 and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5053 or -5052?\nAnswer: -5052","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + j = -j - 246, -4*j - 44 = -s. Suppose -4*l + y + 2*y + s = 0, 4*y = 3*l - 55. What are the prime factors of l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 784188385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6643 or -53?\nAnswer: 6643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 - 15 = -12*p + 7. Solve p*j - 4*t - 8 = 0, -j = 7*j - 3*t - 6 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 134 and -2?\nAnswer: -268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*v + 811 - 3511 = -67*v for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 2:38 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.512 rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.121*0.1.\nAnswer: 0.1121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -22*u + 87. Determine j(5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 703885040?\nAnswer: 2, 5, 37, 6427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/7 - 50\/175?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(-7))\/((-35)\/5)*(-10)\/15.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 154 + 16*x**4 - 2*x**3 - 152 + 2*x**2 - 3*x**2 as l*x**4 + t*x + c*x**2 + o + i*x**3 and give l.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -132.552 and -6.2.\nAnswer: -138.752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 107, 7, -103, -229, -377, -553, -763?\nAnswer: -1013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 174 divided by 25553.\nAnswer: 174\/25553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 - 8. Suppose 0 = 4*o - 0 - c. Is 2 a factor of 12*(-1)\/o*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 13 + 8*t**2 - 297*t**3 - 4*t**2 + 5*t + 296*t**3. Determine n(6).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1503470 is divided by 375665?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/10)\/(306\/510).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 645341639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -452.491271526 + 1?\nAnswer: -451.491271526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3414 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-16)*(-2 + 2). Let b = 1\/1489 + -4510\/64027. Do b and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 0.079445.\nAnswer: 0.397225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f\/f**(3\/19)*f))*f)\/(f**(3\/7)*f))\/((f*f**43*f)\/((f*f\/f**7*f)\/f)) assuming f is positive.\nAnswer: f**(-6462\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 5*q + 1163 = -2*s, -2*q - 1184 = 2*s. Let w = -340 - s. Let a = w - 115. List the prime factors of a.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -r**7\/21 + 5*r**6\/6 - r**4\/2 - r**3\/2 + 67*r + 3. Find the third derivative of p(t) wrt t.\nAnswer: -120*t**2 + 600*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 2 - -1) + (-72 - -32) + 12 + -6?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82810 (base 14) to base 15.\nAnswer: 6324d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105454886.\nAnswer: 2, 52727443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 100523896 to the nearest integer?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/88 and (-4)\/(-7) + ((-2108)\/308 - -4).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14353132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - 3 - -94) + -29.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 133 - 292. Let h = 1462 - i. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 13*w**2 + 5*w - 502. What is the ten thousands digit of u(-33)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*-1 - 30\/(-10). Suppose 3*m + 6 = 0, m - 5*m + 699980 = x*b. Suppose -5*h = 4*f + 1400010, -h = -f + 2*h - b. Round f to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 172*r**2 - 10*r - 29. Give q(-2).\nAnswer: 679","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/25 of a millisecond?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3050 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: Find s, given that -9*s**5\/8 + 42*s**4 - 969*s**3\/2 + 5517*s**2\/4 + 27405*s\/8 + 6075\/4 = 0.\nAnswer: -1, -2\/3, 9, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/5 (b) 0.2 (c) 28\/29 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 11 = 4*a + 3*w, 7 = 2*a - 3*w. Let i(h) = 2 - a + h. Let x(g) = 12*g**2 - 21. Let o(l) = 3*l**2 - 5. Let j(f) = -21*o(f) + 5*x(f). Give i(j(r)).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 284073*r - 142424*r - 141650*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3+-1471558003.45219\nAnswer: -1471558000.45219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a kilogram in grams?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-149)\/((-9387)\/54) + (-110)\/14.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/((-1)\/(-3 - -2)). Suppose 4*s - 36 = 4*h, t = -s - 2*h - 3. Suppose -y - s*y = 0. Solve -f - a = 1, y = 3*f - 2*a - a - 15 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v - v**3 - 3*v + (-5*v**2 - 5*v**2 + 4*v**2)*(0*v + 0*v - 2*v) - 4124926*v**2 + 4124926*v**2 - 577*v**3 as i*v**2 + b + x*v + q*v**3 and give q.\nAnswer: -566","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15613598?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 131, -11, -4, -1, 232, 3, -5 in decreasing order.\nAnswer: 232, 131, 3, -1, -4, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40150777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 1. Let r(s) = 3*s**2 + 4. Let v(b) = -7*g(b) - 2*r(b). Let m = -51614 + 51612. Let i(c) = 6*c**2 - c - 6. Determine m*i(w) + 14*v(w).\nAnswer: 2*w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 307475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, a: 12, e: 5}. Give prob of picking 1 a and 1 e.\nAnswer: 20\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25249*r - 25044*r - 11275 = 0 for r.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15.6 - 1.4. Let u = 15 + l. Let n = -2 + 1.7. Which is the third smallest value? (a) u (b) n (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 0.4 (c) 3\/980 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15231614*j**3 - 2829950*j + 85?\nAnswer: 91389684*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 20*w**2 + 17*w - 20. Let n be f(-19). Let z(p) = 2*p**2 - 6*p - 7. Let t be z(5). Suppose -b + n = t. Solve 0 = -0*s - b*s + 15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 150, 319, 558, 873, 1270, 1755?\nAnswer: 2334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (24\/1)\/((-15)\/710). Is 24 a factor of ((-2)\/4)\/(8\/y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 9*i - 4. Let x(t) = -26 - 25 + 48 + 5*t + 3*t. Determine 3*o(k) - 4*x(k).\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2814, 3010, 3550, 4608, 6358?\n\"Answer: 29*p**3 - 2*p**2 - p + 2788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 920 is divided by 150.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 319 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -35 and 43809.\nAnswer: -1533315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -180 (c) -0.1 (d) 3\/89 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27338 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.46154743 to two decimal places.\nAnswer: -0.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 5 + (-15 - -43 - 11)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8889477 millennia in centuries?\nAnswer: 8.889477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49 - 21. Let r = 27.999971 - m. Round r to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of i**10\/30240 + i**6\/360 - i**4\/12 - 5*i. Let g(w) be the third derivative of j(w). Find the second derivative of g(t) wrt t.\nAnswer: 20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 17, 110, 0 in decreasing order.\nAnswer: 110, 17, 5, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 - u + u)*((1 - 5 + 2)*(1 - 1 - 2) - 1 - 7 + 14 - 9 - 10 + 5 + 1 - 2 + 2 + 3 - 3 + 2 + (-2 - 3 + 4)*(2 - 2 + 1) - 1 + 4 - 4).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*n + 235*n = -412*n - 9204 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 77 - -209. Let d = b - 153. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1.2, -18 in decreasing order.\nAnswer: 1.2, 0.4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15400*-0.297.\nAnswer: -4573.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 1346 = 1331. Suppose 5*g + 5 = -5*m - 150, -i*m = -2*g - 48. Which is the closest to -1? (a) -0.4 (b) g (c) -1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhmhzbbhmb. What is prob of picking 2 b and 1 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**2 + 24 - 2*a**2 - a**2 + 27 to c*a + b*a**2 + g and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85, 169, 241, 295, 325, 325?\nAnswer: 289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*k**4 - 15*k**3 - 35*k**2 + 75*k + 90 = 0. Calculate k.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1804 and 2044096.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*n + 32*n - 37*n + 28*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 14*c**2 + 15*c + 22. Determine q(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*o + o + 4*o)*(-4*o**2 + 8*o**2 - o**2) + 2*o**2 + 2*o**3 + 6 - 6.\nAnswer: -o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*b + 274 - 288 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 25*p**2 + p + 22. Let q be t(-25). Let r = 0 + 2. Sort r, q, 4 in ascending order.\nAnswer: q, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 359 = -886. Let d be ((-1)\/(-1) - 2)*159. Let a = d + u. Is 10 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -40*j + 14. Let q be k(0). Calculate the greatest common divisor of 105 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/1 + (-39 - -22) + 9. Suppose -4*g + 176 = 2*o, -4*o + 2*g + 182 = -2*o. Suppose 5*b - 135 = s - u*s, 5*b = 4*s - o. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/432 and 37\/56.\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -21*y**2 - 3*y + 3*y. Let d(o) = 120*o + 13. Let h(s) = 129*s + 14. Let u(t) = -14*d(t) + 13*h(t). Calculate u(l(m)).\nAnswer: 63*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g - 1. Let d(o) = 30*o - 9. What is -2*d(y) + 21*r(y)?\nAnswer: 3*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.13 - -0.09. Let f = s + 2.04. Let l be (6\/9)\/(30\/(-9)). What is the closest to l in f, 0.5, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-3 + 1 + -2 + 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-120)\/60 + (3 - (1 + -1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.031002 and 0.4.\nAnswer: 0.431002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i - 11. Let w be b(6). Let q = 123 - 122. Sort q, -1\/4, w in increasing order.\nAnswer: w, -1\/4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppgv when four letters picked without replacement from {c: 2, v: 1, p: 3, i: 6, g: 2}?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -g**2 - 4248470*g - 4512374335225 = 0.\nAnswer: -2124235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.027 (b) -5 (c) -2 (d) -1\/8 (e) 11\/4 (f) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -67*p + 7213. What is the tens digit of i(-28)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2458 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 121*t + 0 + 2\/3*t**3 - 245\/3*t**2 = 0?\nAnswer: 0, 3\/2, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3674*i - 3656*i = 342 for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/((-1 + -1)*-1). Suppose 0 = x*z + 4*c - 2 - 6, -4*z = -3*c + 6. Find the third derivative of -d**4 + z*d**2 - d**2 + 0*d**4 wrt d.\nAnswer: -24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -108115.961 rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -168*j - 5935939 + 31061515. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13208 and 1393496.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**5 - 69*s**4 - 324*s**3 - 48*s**2 + 1248*s + 1296.\nAnswer: 3*(s - 27)*(s - 2)*(s + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 2*u + 14 = 0, -3*s - 7 = 116*u - 114*u for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24837, 24792, 24747, 24702, 24657?\nAnswer: 24612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*d - 82*d = -1720344. What is the ten thousands digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425) - (-1 + sqrt(425)))**2 - sqrt(425)) + -5 + sqrt(34)\/sqrt(2).\nAnswer: -4*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1976\/39)\/(-38))\/((-30)\/(-18)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-25)\/5)\/(-5) - -3. Suppose -850016 = -2*w - 4*z, -3*w + 0*z = -i*z - 1274984. Round w to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (65\/1287)\/((-540)\/648).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = f - 2*n + 6*n, 5*f = -4*n + 47. Suppose -u = 4*z - 38, -16 = -z - 4*u + f*u. Solve -3*h = -z + 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1872)\/(-27)*27\/6. What is the highest common divisor of w and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1074376032?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6770, 27058, 60884, 108254, 169174, 243650?\n\"Answer: x**3 + 6763*x**2 - 8*x + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -277, -565, -869, -1189, -1525?\nAnswer: -1877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: 0.05*68672\nAnswer: 3433.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101, 257, 487, 827, 1313, 1981, 2867?\nAnswer: 4007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2 = -a + 38, -3*a = -5*i + 40. Does 55 divide ((-132)\/i)\/(-3)*28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o**2 + o - 1. Let w be l(1). Suppose 2*z - 2*z + 3*z = -8*z. Which is the third biggest value? (a) -0.12 (b) w (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4410 divided by 3927\nAnswer: 210\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 4*x + 5. Let u(s) be the third derivative of -s**4\/24 + 19*s**2. Let z(j) = i(j) + 4*u(j). Let m be z(0). Solve 0 = -m*f - 12 - 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + i - 3. Let n be h(0). Suppose 4*a = -8, 4*q + 4*a + 1 = 13. Let p = n + q. Let o(j) = -j**2 + 4*j + 1. Give o(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -829985 divided by 165997.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182*i - 8 = 190*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 9493781254?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1020310233 + 2?\nAnswer: -1020310231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.006? (a) 0.064 (b) -3072 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*m**2 + 5*m**2 - 14*m**2)*(-1 + 1 + 15) to l + d*m + k*m**2 and give k.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1164 and 12616656.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32522 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -46000.2773?\nAnswer: -46000.2773","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of a**4\/12 - 19*a**3\/6 - 11*a**2\/2 + 5*a. Is n(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 5*c - 418 = 0, 37*l + 5*c - 82 = 36*l. Calculate the smallest common multiple of l and 368.\nAnswer: 2576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1227.\nAnswer: 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 106536145 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 21 = -28*l + 27*l, 5*h + 2*l = 18 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.09 + 1.01. Let o = 1.5 - r. Let v = -0.6 - o. Sort -1\/2, 0, v in ascending order.\nAnswer: v, -1\/2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84320 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + 35. Let w be (-19 + -2)*(-4)\/(-6). Let a = w - -24. Calculate the highest common factor of a and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 9:25 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*t - 50 = 0, -2*t - 8 = -2*b + 20. Suppose b*s + 13 = 156. Let q(y) = 2*y + 51. What is the tens digit of q(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3 + (6*(sqrt(99) + sqrt(99)*-1 + sqrt(99)))\/((sqrt(9) - ((-1*sqrt(144) - sqrt(144)) + sqrt(9))) + sqrt(9) - sqrt(9))).\nAnswer: -12 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -5*l - 1. Let m(b) = -27*b + 550. Give -m(f) + 6*r(f).\nAnswer: -3*f - 556","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - w**5 + w**5 + 2*w**5 + 6*w**5 + ((-3 + 1 + 3)*(-2 + 1 + 2) + 0 - 2 - 9)*(3*w**4 + 2*w**5 - 3*w**4).\nAnswer: -12*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 68 (c) 21 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 73\/4 of a kilogram?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v - 11. Let h be r(8). Is (-81)\/h + 6\/2 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2 - -94)\/(-12) - -9)\/((-4)\/((-12)\/(-279))).\nAnswer: -1\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1074*g**3 - 56*g**2 - 44*g**3 - 454*g + 51*g**2 + 5*g**2 wrt g.\nAnswer: 6180*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 23 = -4*n + 1, 6 = n - j. Let h be (4\/n)\/(2\/(-3)). Let z = 0.28 - -0.02. Which is the nearest to h? (a) -1\/5 (b) -5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -284406\nAnswer: -2\/142203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 243 - -415405?\nAnswer: 420052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ltgk when four letters picked without replacement from gklkdtdddgkklkalagdg.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + x + 65 + 50 = 0, x + 67 = 3*z. Let o = 234 - 216. Suppose 5*y + o = 28. Solve -17 = y*k + 3*d, k + d = 6*d + z for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000840119324 rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4469754.\nAnswer: 2, 3, 744959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 644577*l**2 + 666*l + 101084. Let j(i) = -3883*i**2 - 4*i - 609. Let u(x) = 2*b(x) + 333*j(x). Let g(w) = -37*w**2 - 6. Give -629*g(s) + 6*u(s).\nAnswer: -37*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*w + 566 - 13*w + 124 - 151 to the form n + m*w and give n.\nAnswer: 539","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 890043 and 4851?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -89649 times -0.1?\nAnswer: 8964.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 11:01 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16694895?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4*u - 2*m, -m - 2 = 5*u - 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.916 + -0.986. Which is the second biggest value? (a) -6 (b) x (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 101079 and 38214?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvzvlzz. What is prob of picking 2 z, 1 l, and 1 v?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -315 = -7*u + 7. Let c = -42 + u. Suppose -10*h + c*h = 14400000. What is h rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*z**2 + 0*z**2 + 547 - 504 - 43 - z**2.\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0348225mg to micrograms.\nAnswer: 34.8225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/1*1*(-4)\/110.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 8*c + 538. Let o be f(-55). Solve 15*n = o - 23 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 72 + -77. Let n be 1 - (-4 - (l + 0)). Let -2\/3*b**4 + 2\/3*b**3 + 0 + 2\/3*b**2 - 2\/3*b**5 + n*b = 0. What is b?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -78 - -82. Suppose -n*l = -0*l - 476. List the prime factors of l.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -904?\nAnswer: 906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5*j = -8, -5*k - 3 - 24 = -2*j. Let l(f) = -f**2 - 6*f + 6. Let r be l(k). Sort 0, r, -1\/4 in ascending order.\nAnswer: r, -1\/4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kx when two letters picked without replacement from {z: 8, x: 3, k: 3, t: 3}?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(704))*2 - sqrt(704))**2 + (-2*sqrt(99))**2*-4.\nAnswer: -864 + 64*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i + 10 = 10. Solve i*p - a = -p + 7, -4*a + 12 = 4*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45 + -50)*(267\/90 - 3).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -59636, -59638, -59640, -59642, -59644?\n\"Answer: -2*n - 59634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30 - -3043201?\nAnswer: 3043131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9220124, 5, 3\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 0*b = 2*b - 69, -4*b = 0. Suppose 89*i - 35 = -4*q + 88*i, 4*q - 5*i - 17 = 0. Calculate the remainder when w is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 7:14 AM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 292\/5 - 58. Let n = -217.27 - -216. Let l = n + 1.3. Which is the second smallest value? (a) x (b) l (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of t**4\/24 - t**3\/6 + 3*t**2. Calculate the remainder when q(12) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03652 to 3 decimal places.\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2426, 2453, 2492, 2549, 2630, 2741?\n\"Answer: j**3 + 20*j + 2405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15299329 to the power of 1\/2, to the nearest integer?\nAnswer: 3911","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -33. Is r less than or equal to 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 1:48 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*-2 + (-4)\/(-2). Suppose 4*r - 5*f - 21 = d, -2*r + 3 = -2*f - 7. What is the third biggest value in r, -5, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -p + 20. Let x be (16 - 44)*(-2)\/p. Calculate the remainder when 42 is divided by 122\/8 - (-7)\/x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 4:48 PM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6151 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d6a63 + -a91?\nAnswer: -d7714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 26713280 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5598269 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -181 + 181.0318. Let q = n + -25.3318. What is q rounded to zero decimal places?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 8 = t. Suppose -2*r = 5*z - 25, 0*r - r + 3*z = 4. Suppose 0 = 4*k + 3*n - 0*n - 5, -r*k + 12 = -2*n. Put k, -5, t in ascending order.\nAnswer: -5, k, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00604 rounded to four decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28020 + 28022. Solve -56*f = -b*f + 432 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 7)*(-8*w - 3*w + 0*w) - 33*w + 719 - 719.\nAnswer: -99*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 120 = 5*s. Let v be (-1)\/6 - (215\/s - -3). Let x be 2*(2 + 0)*7. Calculate the highest common divisor of v and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of i**6\/120 + 2*i**5\/5 + i**4\/8 + 3*i**3 + 3*i**2 + 5. Let k be t(-23). What is k rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from pppaappa?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 6*k + 8*k)*(-4*k + 2*k + 3*k + 21)*(-k - 2*k + k).\nAnswer: -22*k**3 - 462*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -37 in 2, -3\/2, 0, 38?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -7 (b) 0.36 (c) -24 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 284*x - 369 - 689 + 206 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 990 a factor of 2266114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 = -5*r - 5*z - 116 - 77, -5*r = -9*z + 65 for r.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/84)\/(6\/(-16))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -5*c + 4*n + 419, -4*n = 5*c - 449. Calculate the remainder when 142 is divided by c.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*s + 2*v, 3*s + 2*v + 4 = 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-31)\/((-2)\/14*1). Let f = -111 + a. What are the prime factors of f?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**2*f**(-2\/13))\/((f*f**(-1\/5))\/(f\/(f\/(f**(2\/7)\/f)))))**38 assuming f is positive.\nAnswer: f**(5738\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Round -1952.1 to the nearest ten.\nAnswer: -1950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(32)*1 + sqrt(2) + -5)**2.\nAnswer: -50*sqrt(2) + 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*s = 34*s + 20. Let y be 14*5\/(-6)*(-120)\/200. Put -5, y, s, 5 in descending order.\nAnswer: y, 5, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of 0*x - 1\/6*x**3 - 1\/12*x**4 + 0 - 3*x**2. What is n(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30007?\nAnswer: 37, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.7 (b) 5428 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 1698 = 5*g, -3*q - g = -384 - 1332. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 + 0)*(-327 + k + 327).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/7 in -1\/10, -2\/5, -0.5, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -4*c**3 + 5088*c**2 + 10188*c + 5096 = 0.\nAnswer: -1, 1274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 3 + 6)*(-n + 2*n**2 + n).\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/((-3 - -4)\/((-3)\/9)). Solve -5*u + 3*u = c, -5*u + 4 = -4*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 330 = 5*v. Let f = -25 - v. Let h = f - 27. Calculate the lowest common multiple of h and 13.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 915 and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1.4197*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1946 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: What is the thousands digit of 2139700457?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xlcvlcllw. What is prob of picking 2 c and 2 l?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14353.7 - 14354. What is the closest to -2\/7 in 8, 3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*d + 54 - 20 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-40*z**2 + 34*z**2 - 14*z**2)*(14 + 110 + 38) in the form d*z**2 + p + r*z and give d.\nAnswer: -3240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 222893719?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -2. What is the second smallest value in 5, 6, c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 20. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2312884287*p**2 - 26*p**3 + 2312884287*p**2 + 5*p**3.\nAnswer: -21*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d - 65*d**3 + 2*d + d.\nAnswer: -65*d**3 - 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4018760 (base 12) to base 2.\nAnswer: 101101101100101100111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 5 + 5 - 13.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2261 (base 7) in base 10?\nAnswer: -827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49 + 53. Let g(d) be the third derivative of -2*d**2 + 1\/12*d**3 + 1\/15*d**5 + 1\/60*d**6 + 0*d + 0 + 5\/48*d**m. Factor g(v).\nAnswer: (v + 1)*(2*v + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 57?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 11*-6365\nAnswer: -70015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/sqrt(5)*-4)**2*3.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.96 - 2. Let f = 446 + -446.04. Let a = t - f. What is the nearest to -1\/3 in 0.3, 0.2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23600 and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -280 by 28.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 59*w**2 - 143197*w + 4 + 143197*w.\nAnswer: -59*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 19*n + 1317. Calculate u(47).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*x - 38*x + 6*x)*(1 - 3 + 1) + 1 + 5*x - 4*x - 3 as j + o*x and give o.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -4*a - 52, 44 = 2*a - 6*a - 2*i. Is 28 a factor of (2 - -5)\/(a\/(-4) - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 106, 172, 238, 304, 370?\n\"Answer: 66*v + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2948?\nAnswer: 2, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 2*u**3 - 5*u**3 + 2*u**5 - 4*u**2 - 6*u**5 + 4*u**4 + 7*u**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 3*f - 2. Let x be w(5). Let n be (1\/(-3))\/(2\/12). What is the units digit of n\/8 + (-15)\/x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1899521709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) - (sqrt(65) + sqrt(65)*-2))*2 + sqrt(65))\/(sqrt(180)*4).\nAnswer: 5*sqrt(13)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 u when four letters picked without replacement from {b: 2, v: 4, q: 6, u: 1}.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3525710, -3525686, -3525662, -3525638, -3525614?\nAnswer: -3525590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 34*m**2 + m - 2. Let w(d) = d**3 - 13*d**2 - 13*d - 6. Let g be w(14). Suppose 0 = 5*l - g + 3. Does 20 divide n(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from djooyjyyjf?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.1936 + 0.1936. Is x != 2.22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 4*d + 10. Put 4, d, 1 in increasing order.\nAnswer: d, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4 = 2*x, -8 = 5*k + 4*x - 0. Let a = 4589 + -68833\/15. Determine p so that 4\/15*p + k + a*p**3 + 2\/5*p**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (706\/(-3883))\/(1\/(-33)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 1:50 AM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of 4*v**3\/3 + 4*v**2 - 96*v - 15129. Factor x(y).\nAnswer: 4*(y - 4)*(y + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 274030.9 + -274031. Let k be (1\/(-3))\/(2 - 1). Which is the closest to w? (a) -1\/2 (b) k (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p - 3*p - 3*p)*((22*p - 65*p + 30*p)*(2*p - p + 2*p) + 3*p**2 - 4*p**2 - 1 + 3*p**2).\nAnswer: 74*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15\/(-30)*9*-2. Suppose 3*c = -2*m + 4, 0*m = m + 5*c - n. Let a(f) be the first derivative of -4*f**3\/3 - f**2\/2 - 6. Give a(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 + 13. Let c(f) = 11*f**3 - 5*f**2 - 5*f. Let h(z) = 16*z**3 - 7*z**2 - 7*z. Determine s*c(u) + 5*h(u).\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -431*a*g**3 + 64*a*g**2 - 23*a*g + 226*a + 13*g**3 + 2*g**2 - 5*g + 10 wrt g.\nAnswer: -2586*a*g + 128*a + 78*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by 39.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -3*c**2 + 178*c + 1140. Determine a(65).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2990*j - 380?\nAnswer: -2990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-eight thirds of a hour in minutes?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13007 to the power of 1\/2, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3*(4085 - 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 257184a (base 13) to base 5.\nAnswer: 10444313441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 r when two letters picked without replacement from mmrrmrmurqmrmrrmr.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -31, -4 in decreasing order.\nAnswer: 2, -4, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 344\/903*175\/250?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (0*7\/14)\/(-1*1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -18*j - 3. Let p be d(-13). Suppose 5*g - p - 564 = 0. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-4) - 4) + 12\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w + 5*r = 26*w - 37*w + 49, -w + 9*r - 79 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 141975240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-21)*(-10)\/(45 + -5)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -359455\/4 - -89861. Let z be ((-2)\/6)\/(5\/(-3)). What is the nearest to z in -2\/11, y, -3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2*j + 42 - 6 = 0, 2*x = 4*j + 24. Let w be ((-6)\/5)\/(x\/(-105)). Calculate the remainder when (-2 - 0) + 8 + w is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -8. Let g = i - -9.2. What is the third biggest value in -8, g, 3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15\/(-5) + 68076\/(-15). Let w = -823\/28 + -126003\/28. Let j = x - w. What is the common denominator of j and -16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -18 + -115073?\nAnswer: -115102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97357 = 47*q - 99895 + 191189 for q.\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a day in minutes?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 13*r**2 + 6*r + 83. Let t be g(-13). Suppose 8*y - 13*y = t*z - 2175, 0 = -2*y + 4*z + 882. List the prime factors of y.\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 213 - -38?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 divided by 487438?\nAnswer: 106\/243719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 5974, -5\/4, 7 in descending order.\nAnswer: 5974, 7, -1, -5\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -483\/4, 3\/28, 7, 3\/2.\nAnswer: -483\/4, 3\/28, 3\/2, 7","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.1, 1\/2, 7\/2?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -3*x + 4, x = -2*r - x - 40. What is the units digit of (-4)\/r + (-86)\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1040?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-432)\/(-576))\/((-6)\/16). Which is the nearest to -1? (a) 2 (b) o (c) 5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**3 - 2*q**2 - 2*q + 3. What is h(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -19244, -18854, -18464, -18074?\n\"Answer: 390*t - 19634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) -775 (c) -1 (d) 2 (e) -0.1 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -353 (base 14) in base 8?\nAnswer: -1225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -63 + 67. Suppose 2 + 1 = 5*g + 4*n, -c*g + 5*n = -27. Solve -h + 16 = 3*h - g*m, h - 21 = 5*m for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -1\/5*c**5 + 0*c**4 + 11*c + 0*c**3 - 2 + 0*c**2. Differentiate t(l) with respect to l.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5752.4897252 + 1\nAnswer: 5753.4897252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 26 + 832. Let p = j + 19. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 18 - 21)*(-l - 4*l + 4*l) + 3*l - 3*l + l + 3*l - 5*l + 3*l.\nAnswer: 42*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -2. Suppose -1 = 2*j - 5. What is the first derivative of 4*s**3 - j*s**3 - 2 + i wrt s?\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y. Suppose 4 = p + 5. Let m = p + 9. Let n(j) = -4*j**2 - j + j + m*j**2. Calculate n(k(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 276 and 5175?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10857, -21697, -32519, -43323, -54109?\nAnswer: -64877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 162 - 160. What is the second derivative of -a + 2 + 0 + 10*z**5 - 30*z - 2 - 13206*z**2 + 13204*z**2 wrt z?\nAnswer: 200*z**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001830562343 rounded to 7 decimal places?\nAnswer: -0.0000183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 16. Let a(p) = d + p + 3 - 8 + 0*p. Let h be a(6). Solve 0 = 4*s + 3 - 7, -4*f - h*s = -3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -842236, -842232, -842228, -842224, -842220, -842216?\n\"Answer: 4*z - 842240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**5\/5 + 144*a**4\/5 + 1839*a**3\/5 - 1026*a**2\/5 - 95964*a\/5 - 60984 = 0. Calculate a.\nAnswer: -22, -6, -5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - o + 2*o - 7 = 0, 2*o + 4 = 2*a. Let t = -14 - -26. Suppose -5*j - u + 136 = 0, 6*u - a*u = -t. Is j a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(17)*-3 - 3*sqrt(17)*1.\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 11 - 29. What is the remainder when 9 is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -1012?\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49 + -45. Suppose 2*y - 368 = -4*c, -h*y + 276 = -0*c + 3*c. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*v**2 + 2*v**3 - v**2 - 2*v**4 - 2*v + 4*v - 4*v**2 to b*v**2 + t*v + x*v**4 + l + h*v**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9065 and 864815?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 176 + -158 - (2 + 14).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 149914706861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2088 and 1005894?\nAnswer: 4023576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 163*d**2 + 1. Let n(z) = 40*z**2 + 203*z. Let k(u) = 19*u**2 + 87*u. Let o(g) = 7*k(g) - 3*n(g). Calculate o(f(a)).\nAnswer: 345397*a**4 + 4238*a**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 342 - 52 = -29*l for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 + -13. Suppose 2*u = u + 3, -5*v - y*u + 279 = 0. Does 18 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 7*f + 6. Which is the fourth smallest value? (a) f (b) 0.5 (c) -2 (d) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/22958 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4337*a = -4355*a + 18 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/13 - -9\/26. Let h be (-40)\/50*(11 - (-3201)\/(-286)). Which is the third smallest value? (a) z (b) -5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 10:32 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/5 - 38*p\/5 + 192\/5.\nAnswer: (p - 32)*(p - 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*k**2 + k - 7*k**2 - 4*k**2 in the form t*k**2 + m*k + f and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -9*i**2 - 33*i - 2. Let a(c) = -11*c. Calculate a(s(n)).\nAnswer: 99*n**2 + 363*n + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20222 - -10032?\nAnswer: -10130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -4*s + 10. Let v(a) = 4*a + 1. Let j be 0\/1*-1*(-18 + 17). Let b be v(j). Let y be i(b). Solve -p - p = -y for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and -11135309672732?\nAnswer: 11135309672732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6387, 6930, 7473, 8016?\n\"Answer: 543*r + 5844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y\/((y*y**(-27))\/y*y))\/(y**(-31)*y) assuming y is positive.\nAnswer: y**59","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -1805*j**3 - 2727792*j**2 + 10340784*j\/5 - 1959552\/5 = 0. Calculate j.\nAnswer: -1512, 36\/95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 328119 is divided by 84.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(4\/11)*r**(-4\/3) assuming r is positive.\nAnswer: r**(-32\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -5*y**2 + 18*y + 3. Let u(h) = -2*h**2 + 9*h + 2. Let w(g) = 3*d(g) - 7*u(g). Calculate w(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -r - 0. Suppose 4*o + 5 = 3*a - 15, r*a - 14 = -o. Let x = o - -5. Solve -2*j + x*j - 3 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-5 + 50\/15))*9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5072 + 5775. What are the prime factors of r?\nAnswer: 10847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 62636?\nAnswer: 62635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 + (-120)\/(-16))*4\/(-40). Which is the third biggest value? (a) 79 (b) j (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 558887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from mcmmmmcseheemhsmmmsm?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 4*i - 125. Find the second derivative of i*a**2 + 56*a**5 - 5*a**5 - 23*a - 39*a**2 wrt a.\nAnswer: 1020*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 36, 5, -2\/7, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 67, 17, -33, -83, -133?\n\"Answer: -50*p + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -13\/2, 2\/13, 368?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -22 + 35 + -17 + 6 + -6 + 8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18\/(-5 - (-14)\/2). Let g be z\/(27\/(-6)) - -4. Let s be (-12)\/(-15)*(-5)\/g. Put s, 0, 1, 4 in decreasing order.\nAnswer: 4, 1, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 603679582?\nAnswer: 2, 11, 2459, 11159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a microsecond in nanoseconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbg when three letters picked without replacement from bbggbgbbggbbbgbbbbb.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -29*k - 259. Let l be b(-9). Suppose 0 = 2*w + 2. Let z be 21\/9 + w\/3. Solve -g - 6 = -z*y - l*g, -y + 5*g = -14 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.22 + 0.12. Let h = 0.5 + k. Let v = h - -0.6. Which is the nearest to 0? (a) v (b) 2\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i**2 - 61*i + 50. What are the prime factors of t(-25)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -7\/2024942?\nAnswer: -7\/2024942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 4*p**2 - 7*p + 11. Suppose 34 = 5*c - 3*f, -4*f = -5*c - 5*f + 22. What is the lowest common multiple of 18 and v(c)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of h**3 - 9073*h*i - 12598*i wrt h.\nAnswer: 3*h**2 - 9073*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-six fifths of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2919132 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -879, -2450, -5249, -9282, -14555?\nAnswer: -21074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -1\/3 (b) -3\/191 (c) -3 (d) 2\/13 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2\/7 - 5640*w\/7 + 13661836\/7.\nAnswer: -4*(w - 1273)*(w + 2683)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 1214*r**2 - 21872*r + 21872*r + 1338*r**2 as b + q*r + d*r**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 2.37227?\nAnswer: -11.86135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 335764, -2, 0, -1 in decreasing order.\nAnswer: 335764, 4, 0, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-1\/16))\/(z*z\/(z\/(z\/((z*(z\/z**(-1\/13))\/z)\/z)*z))*z))\/(z**(-7)\/((z**(-2\/25)*z)\/z)) assuming z is positive.\nAnswer: z**(21109\/5200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.7 + 9.1. Let q = 2.3 - 11.3. Let j = i + q. What is j rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*(-14 - (-522)\/36).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 1. Find the first derivative of 0 + a - 1 - 3*i**4 wrt i.\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 3328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 8*d = 4*z - 3596, 1804 = 2*z + 4*d. Let u = z - 6284\/7. What is m in 12\/7 + 10\/7*m + u*m**2 = 0?\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 231 - 95. What are the prime factors of m?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0\/(-1))\/(-5 + 3). Suppose -2*t + 5*v + 9 = o, -66 = t - 6*t - 2*v. Find the third derivative of -t*r**3 + 2*r**3 + r**3 - 3*r**2 wrt r.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2\/101)*f**29 assuming f is positive.\nAnswer: f**(2927\/101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1253 + 1253 + 166*l)*(-3*l**2 - 2*l**2 + 10*l**2) - 5*l - 4*l**3 + 5*l + (-l**2 + 0*l**2 + 0*l**2)*(3*l + l + 0*l).\nAnswer: 822*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 13*o - 319*o + 35*o - 363*o - 70*o. Let v(r) = -37*r. Give 4*b(k) - 77*v(k).\nAnswer: 33*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16.00000108 + -16. What is k rounded to seven dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**5\/60 + w**4\/12 + w**3\/2 + 7*w**2. Is q(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 5*x - t + 1 = 0, 3*t + 12 = 0. Which is the second smallest value? (a) 2 (b) x (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*h - 17, 0 = 5*w - h - 13. Suppose w*g - 71 = 2*v + 227, -4*v = -8. Suppose -4*i - 2*d = -7*d - g, 96 = 3*i + 2*d. Is 26 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 5, e: 15}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2 + 33*c - 2. Let v = -14754 - -14756. Let l(h) = 2*h**2 + 34*h - 3. Give v*l(q) - 3*g(q).\nAnswer: -2*q**2 - 31*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -420 + 245. Let c be p\/(-55) + (-4)\/22. Let w(h) = 8*h**2 + 2*h + 6. What are the prime factors of w(c)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18.9 + -1.9. Let x = -17.1 + l. Let j = x + 0.0993. Round j to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1640 = 1640?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*c + 124, 4*p - 5*c = 256 - 8. Let t = -60 + p. Let g be (0 - 27\/(-2))\/6. Is t less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 241 (b) 0 (c) -5 (d) 1\/6 (e) -0.1 (f) 2 (g) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -49 divided by 1\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 5. Let v = 7.01 + -7. Which is the smallest value? (a) y (b) v (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1015\/3 - 11 - (-1)\/(-3)?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 + 2*i**2 - 2*i**2 + (-2 + 2 + 2*i)*(3*i + 3*i - 5*i) + 499*i**2 + 82*i**2 + 143*i**2)*(0 - 1 - 1).\nAnswer: -1456*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 3*a - 233, -p - 335 = -5*a - 5*p. Let y be 126\/(-168) + 550\/8. Let l = a - y. Solve 4*u + 0*f = -f - 11, u + l*f = -11 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22054900 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2034559\/36991902 + 2\/49587. Find the common denominator of 19\/3730 and a.\nAnswer: 3730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11294 is divided by 5639?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**4 - 2*o + 2*o + (o + 14*o - 2*o - 2)*((0 - 1 - 5)*(0*o**3 + 3*o**3 - 4*o**3) - o**3 + 0*o**3 + 0*o**3).\nAnswer: 66*o**4 - 10*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 804 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 6*s**2 - s. Let r(o) = 45*o. What is r(v(y))?\nAnswer: 270*y**2 - 45*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/7 (b) -116 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**5\/4 - 13*u**4\/4 + 12*u**3 - 9*u**2.\nAnswer: u**2*(u - 6)**2*(u - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1000112101 (base 3) to base 5\nAnswer: 1120241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 5 + (0 - -11 - 13).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 - d**3 + d**2)*(-61 + 137 + 266 + 5).\nAnswer: -347*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v**3 - 3*v + 3. Let f be p(2). Which is smaller: 20 or f?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19640 and 39280.\nAnswer: 39280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3*u**2 + 3*u. Suppose -4*m - 6 = 38. Let j(l) = -l**2 + l. Let d(i) = m*j(i) + 4*h(i). What is y in d(y) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 945 + -328. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359586 is divided by 119862.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4953, -9899, -14845, -19791, -24737, -29683?\nAnswer: -34629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -7*o - 370. Determine f(-52).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 34.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 g when two letters picked without replacement from {i: 1, o: 2, g: 1, z: 4, l: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(2\/11))**(1\/18))**38)**(-2\/3) assuming w is positive.\nAnswer: w**(-494\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-6))\/((25\/(-30))\/(-5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4787730.\nAnswer: 2, 3, 5, 53197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.002*37.744.\nAnswer: 0.075488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.956 + -0.044. Let r = -2.8 - 0.2. Which is the closest to -2\/9? (a) -1 (b) r (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 917 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3303, -6602, -9901, -13200, -16499?\nAnswer: -19798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1199 at most as big as -1201?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/160 and -101\/6213112.\nAnswer: 124262240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 50007048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -350937\/5 or -70187?\nAnswer: -350937\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2793*(-8 + (-1 - (-138)\/14))?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/2*(-12)\/(-9). Let x(w) be the third derivative of w**5\/30 + w**3\/6 - 3*w**2. Calculate x(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 10:39 AM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + 2140792.\nAnswer: 2140787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 2*o + 28 = 0, 13*w - 11*w - 3*o - 20 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of 5\/192*m**4 + 0*m - 1\/8*m**3 - 2*m**2 + 1 - 1\/480*m**5. Factor j(l).\nAnswer: -(l - 3)*(l - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 w when three letters picked without replacement from iibbwiwbswiisimbb.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqz when four letters picked without replacement from mzqxxzqqmmq.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 3:31 AM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -334*o - 4214. Let f(g) = -2*g**2. Calculate w(f(b)).\nAnswer: 668*b**2 - 4214","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15598 - -31338. What is the thousands digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2176125 a multiple of 375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from myyyyyhyjyymmyyyvmqj.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -198 - -200. Solve 0*q + 2*q = h - 11, 25 = -5*q + d*h for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.37 + 0.86. Let x = u - 0.23. Which is the biggest value? (a) 0.3 (b) 5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 49.5 + -71. Let m = -220.5 + v. Let p = m - -242.0143. What is p rounded to 3 dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1522*f**5 - 5*f**4 - f**3 - 510072*f**2?\nAnswer: -91320*f**2 - 120*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 217222?\nAnswer: -217221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.183 + 0.027. Let r = 0.0522478 - -0.1578132. Let q = j - r. Round q to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -134970*h + 4242*h**2 + 134970*h as u + t*h + x*h**2 and give x.\nAnswer: 4242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.395 + -0.395. Let z = -20.7 - -21. Let f be ((-2)\/(-14)*2)\/(-1). Which is the closest to 1\/8? (a) f (b) t (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -163 - -163. Solve t = -2*z - 5 + 1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - -1. Suppose s*a = -24 - 92. Let t = a - -55. Is t a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12*a*j*y - 9*a*j - 3*a*y - 4*y + 15 wrt j?\nAnswer: -12*a*y - 9*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 + 24. Calculate the remainder when 26 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -10*t**3 + t**2 - 3*t - 3. Let i be o(-2). Let u = -57 + i. Let a be 6*3\/9*(-3)\/(-1). What is the greatest common factor of u and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 13711, 13707, 13701, 13693, 13683?\n\"Answer: -i**2 - i + 13713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12367, 24267, 36167, 48067, 59967, 71867?\nAnswer: 83767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/10 and -21\/260.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/5)\/((-7)\/(175\/5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -313, -626, -941, -1258, -1577, -1898?\n\"Answer: -p**2 - 310*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5113.\nAnswer: 5113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -949907, -1899879, -2849851, -3799823?\nAnswer: -4749795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -x**4\/6 - 5*x**2\/2 - 4*x. Let s(d) be the first derivative of y(d). Let k(z) = z**2. What is s(k(i))?\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 37 - (-189 - (144 + -282)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4\/3, -0.2, 0.21, -1\/6, 1?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 + 3*w**2 - 3*w**2)*(4*w - w - 2*w)*(0 - 3 - 2).\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -649 - -651. Let u(y) be the first derivative of 0*y**k + 2\/5*y**5 + 0*y**3 + 6*y - 7 + 0*y**4. What is the first derivative of u(w) wrt w?\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43\/206 - -30\/103. Let y = -2.3 + 12. Let g = 10 - y. What is the closest to g in 3, -1\/7, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 15. Suppose 5*m - q*m = 4. Differentiate -m*o**4 - 4*o - 1 + o + 3*o with respect to o.\nAnswer: -16*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4104 and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 207296 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 4*g + 23 = f, 5*f - 3*g = 44. Let r = 4 + 0. What is the remainder when f is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 60*d + 1586 = 58*d, 0 = d - 3. What is the remainder when m is divided by 119?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r - 25*r**3 + 66*r**2 - 5*r.\nAnswer: -25*r**3 + 66*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 10*l - 20. Solve -2*d + 2 = 0, n + 4*n = -l*d for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*k + 968175 - 982107 = 0 for k.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 99 and 275?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33648?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-21))\/(6\/7)*-3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2398 = 249*l - 31*l for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -aa9 (base 14) to base 9\nAnswer: -2803","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 12:11 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**0*w\/(w\/(w*w**(-4)*w)))\/(w\/(w\/(w*w**(-2\/3)\/w)))**(5\/4) assuming w is positive.\nAnswer: w**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 114004439?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 94714230?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - n - 6. Let t be f(-3). Let o(g) = -13 - 5 + 5 + t - 14*g. Is 14 a factor of o(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((0 + sqrt(52)\/sqrt(4))*-2)**2.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2184 + 7510. What is the thousands digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 3*d = 2*p + 21, 4*p + 10 = d. List the prime factors of 38\/3 + p\/(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -52 - -313\/6. Suppose -4*h + 2*t - 97 - 303 = 0, 2*t + 491 = -5*h. Let a = -399\/4 - h. What is the smallest value in u, -5, a?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -d**9\/12096 - d**8\/6720 + d**7\/1680 - d**3\/3 + 3*d**2. Let w(y) be the first derivative of k(y). Factor w(g).\nAnswer: -g**3*(g - 1)*(g + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.32 (b) 0.3 (c) -2\/9 (d) 2 (e) 1\/24 (f) -287\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 100311994 to the nearest integer?\nAnswer: 10016","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/33 and -21\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h = 277 + 23. Does 2 divide (-11)\/(-2) - h\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(1088) - (-3*sqrt(1088))**2) - -6*(sqrt(1088) - (sqrt(1088) + 2)))*-4.\nAnswer: -117456 + 96*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 95 + -137. Let p = l + 28. Let u be (1 - 4)\/(p\/210). Calculate the highest common divisor of u and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 7*u**2 + 3*u - 5. Let t be s(6). Let q = t - 46. Calculate the remainder when q is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/668424 and -43\/12.\nAnswer: 668424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6168998 is divided by 3084496?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17 * 3254.\nAnswer: 55318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of 4*t**7\/7 - t**3\/3 - 23*t**2\/2 + 39. What is the third derivative of h(x) wrt x?\nAnswer: 480*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 237489 and 283929?\nAnswer: 522713289","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 8*v + 29. Give f(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 6*k**2 - 2*k - 8. Let w be (((-20)\/(-8))\/(-1))\/(48\/96). Give c(w).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 140286187?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/932 and -21\/18208.\nAnswer: 4242464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 334434 and 24186?\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 5*q**2\/2 + 27185*q\/2 = 0.\nAnswer: -5437, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2971 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o**2 - 41*o + 229. Determine a(-18).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/164 and 21\/11?\nAnswer: 1804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.86 - 0.16. Let z = f + -1.7. Which is the third biggest value? (a) -0.2 (b) z (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of 0 - u**2 - 7\/6*u**3 + 1\/15*u**5 + 1\/120*u**6 - 1\/3*u**4 + 0*u. Calculate k(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4*g - 30 = 0. What is the second derivative of -9*z**2 + z + 5*z + z - g*z wrt z?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 45 = l + h, 2*l = -5*h + 9. Let j(s) = -s**3 - 2*s**2 + 18*s + 11. What is the units digit of j(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 325*p = 1130*p + 25760 for p.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3530663 * 1.3.\nAnswer: -4589861.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s + 20*s + 4*a - 508 = 0, -2*s + 4*a = -212. Calculate the greatest common divisor of 45 and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -57 + 15. Let d be (k\/(-12))\/(-7)*1. Which is the third biggest value? (a) -5 (b) d (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 321462?\nAnswer: 2, 3, 5953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r + 5291. Let z(q) = -q**2 - 53. Calculate k(z(i)).\nAnswer: i**2 + 5344","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 582624 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*r = -41*r + 21*r. Factor -8\/5*j**2 - 2\/5*j**3 + r + 0*j.\nAnswer: -2*j**2*(j + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 124200373 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/3*o - 2\/3*o**2 - 8\/3.\nAnswer: -2*(o - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + 4*w + 7. Let y be x(5). Suppose y*r - d = 1118, -5*d + 1094 = r + r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one tenth of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m + 7. Let s(j) = 2 + 1 - 1 + 4. Calculate 6*s(p) - 5*u(p).\nAnswer: -5*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -190, 6, 0, 11, 4 in descending order.\nAnswer: 11, 6, 5, 4, 0, -190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-215*c + 191 - 191)*(-2*c - 2*c - 4*c) - c**2 + 2*c**2 - 2*c**2.\nAnswer: 1719*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 - 2*c + 1. Let z be r(-3). Let f be z\/3 + (-28)\/(-6). Suppose -k - 45 = -5*w - 681, f*k - 2439 = -w. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 341110 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 484 divided by -1802.\nAnswer: -242\/901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/15*((-28)\/1)\/4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*z + 21356 = 88*z. Is 44 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 15503*h + 186085. Give u(-12).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -40*k**2 + 15*k - 5. Let r(n) = 159*n**2 - 63*n + 21. Let i(c) = 21*o(c) + 5*r(c). Let p(v) = v. Determine i(p(a)).\nAnswer: -45*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 692 is divided by 181.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 2*f**2 + f + 11. Let l = -25 + 25. Let k be h(l). Calculate the common denominator of 73\/8 and ((-10)\/(-6))\/(k\/(-18)).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -43 + (-216 - -309) + -140?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -293*g**5\/20 - 11*g**4\/12 - g**2 - 116*g. Find the third derivative of j(r) wrt r.\nAnswer: -1758","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -2*s - 4. Let l be s\/(2 + 0 + -1). Let g = 4 - 1. Solve -c = k - g, -l*k = k for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, h: 7, t: 3}. Give prob of picking 3 t.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13910886 is divided by 1391083.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(-2) + 7\/14. Suppose -l*m = -5*m + 6. Suppose -5*t + 2 + m = 0. Sort 1\/2, t, 2\/13 in descending order.\nAnswer: t, 1\/2, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2*h + h = 68, -73 = -3*w + 2*h. Let j = w + -10. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ixil when four letters picked without replacement from {i: 2, x: 2, l: 8}.\nAnswer: 4\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mlmm when four letters picked without replacement from {l: 3, m: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 131682, 263363, 395044, 526725, 658406, 790087?\nAnswer: 921768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 169427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1241 (base 5) in base 8?\nAnswer: -304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 5 - 7 + 5 - 54*k**3.\nAnswer: -54*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111 (base 4) in base 12?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 k when two letters picked without replacement from wuwkkkuuwwkkw?\nAnswer: 25\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3*k. Let l(w) = -w**3 - 10*w**2 - 12*w + 33. Let t be l(-8). Let z(p) = 3 - 14*p - 16*p - t + 39*p + 0. Determine z(v(y)).\nAnswer: -27*y + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 748094131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20*t**2 - 1107*t + 91712.\nAnswer: 40*t - 1107","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**3\/5 + 38*k**2\/5 + 20*k + 64\/5 = 0.\nAnswer: -16, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.46 and -1863316.\nAnswer: -857125.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8987099, -17974228, -26961357, -35948486, -44935615?\nAnswer: -53922744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -223 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-63)\/(-6) - 1)\/(4\/120). Let b = 3\/847 + 33853\/7623. Find the common denominator of b and -9 + 4 - o\/(-54).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000134223696 to seven decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 72, 427, 1384, 3243, 6304?\n\"Answer: 50*l**3 + l**2 + 2*l + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*t - 272 = -36*t. Calculate the remainder when (-10)\/(-2)*(46 + t) is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -0.4005.\nAnswer: -1.602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.053 - -1.093. Let y = 0.04 - p. What is the nearest to -1\/4 in y, -2\/3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-5)*l*l)\/l)\/((l\/(l**(-2\/11)\/l))\/l)*l\/(l**(-1\/10)*l)*l*l**(1\/8)*(l**6*l**(-1))**(-5\/7) assuming l is positive.\nAnswer: l**(10693\/3080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -8402.9 rounded to the nearest one hundred?\nAnswer: -8400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.949 - -0.051. Which is the smallest value? (a) 0.12 (b) y (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r - 5. Let b be m(7). Suppose 0*i + 16 = b*i. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -222 + 205. Let n = c + 16. Let a be -3*2\/8*-4. What is the third smallest value in -0.02, a, n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001235 rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.25 * 20.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*162\/(-315)*(-80)\/48?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110101 + -10001101100110100101?\nAnswer: -10001101100111011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 5 (c) -0.1 (d) 3867\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 12:28 PM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34736829 and 909?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*g**4 + 2*g**3*r - g**2*r**3 + 77*g*r - r**3 + 6*r wrt g?\nAnswer: -300*g**2 + 12*g*r - 2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12960714?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 547 greater than or equal to 537?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f**(2\/5)\/f))\/f)**27\/(f**0)**(-31))**(-41) assuming f is positive.\nAnswer: f**(2214\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 28709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -32 - 3*i + 32 + 2*i + 1 - 1 + (i + 0*i + 0*i)*(-3 - 3 + 4) - i - 5*i + 4*i - 9*i - 28*i - 49*i.\nAnswer: -91*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 13 - (9 + -2)) + (47 - 24) + 69?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2191 - 2136.45. What is c rounded to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3337757080 rounded to the nearest one million?\nAnswer: 3338000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-123\nAnswer: 61.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 10*s**2 - 431*s + 103. Calculate the least common multiple of y(43) and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18474 and 12316?\nAnswer: 36948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4361 is divided by 384.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (891*o**3 - 25*o + 1374*o**3 + 25*o)*(4*o**2 - 2*o**2 - 3*o**2).\nAnswer: -2265*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 855199426 + 0?\nAnswer: 855199426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237*f = 229*f - 16 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/(-10)*4414)\/((-276)\/(-690)). Is f at least -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -48 + 22. Let i = t - -25.6. Let y = 0.4 + i. Which is bigger: y or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o\/(o*o**3))*o*o\/(o*o\/(o\/(o*(o\/((o*o**3)\/o))\/o)))*o**5*o**(2\/3))**(-18))**(-43) assuming o is positive.\nAnswer: o**10578","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**3 + 4*i**2 - 3*i - 4. Determine c(3).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 57*v**2 - 166*v - 126. Let f be o(-54). Calculate the greatest common factor of 780 and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.6 minus 70450?\nAnswer: -70456.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3211*n + 259. Let a(j) = -2*j. Give g(a(r)).\nAnswer: 6422*r + 259","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -808777957*d**3 + 299661186*d?\nAnswer: -4852667742*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t + 58*t + 7*t + 69*t - 3469*t**2 + 3545*t**2 - 32.\nAnswer: 4*(t + 2)*(19*t - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a kilogram in grams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36214626 divided by 862253?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-5))\/((-3)\/15). Let z(n) = -12*n + 4. Let p be z(2). Let t be 122\/p - 4\/10. Which is smaller: a or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + m - 4*m)*(1 - m - 1) + 3*m**2 - 3*m**2 + m**2 + 3267*m**2 + 15 - 5 - 3262*m**2.\nAnswer: 7*m**2 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -o - 10. Suppose 5*y = 3*b - 83, 0 = -o*b - 4*y - y + 165. Is 14 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -73*t**2 - 3209*t - 11552. What is y(-40)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8261 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*v + 24*v + 2127 - 63 = 0 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-7 + 6 + 0 - -12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -84*l**3 + 22*l**2 + 7*l + 27. Let o(q) = -21*q**3 + 5*q**2 + 2*q + 6. What is 2*d(c) - 9*o(c)?\nAnswer: 21*c**3 - c**2 - 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i + 5. What are the prime factors of l(-18)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -6437?\nAnswer: 6432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2720*b**3*i**2 - 15636*b**3 - 4*b**2*i**2 wrt i?\nAnswer: -5440*b**3*i - 8*b**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3816 - 15339\/4. What is the common denominator of -37\/75 and d?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25\/(-30)*(-10230)\/(-550)*-4\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 10153 - 11263 = 0. List the prime factors of x.\nAnswer: 2, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of 1\/2352*c**8 + 0*c**4 - 56*c**2 + 0*c**3 + 1\/490*c**7 - 3\/280*c**6 + 0*c + 1\/84*c**5 + 0. Find l, given that o(l) = 0.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f = -2*m, -5*f = -2266*m + 2264*m for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 8*x. Suppose 13*y - 8*y - 90 = x. Suppose -z = -0*z - 45. What is the greatest common factor of y and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -5*d**2 - 9. Let n(r) = -1 - r**2 - 3 - r**2. Calculate 9*n(z) - 4*o(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64 + 1 + -1169 + 1187?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 216\/(-297)*110\/4*((-1)\/1)\/(-2)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11526909 >= 11526909?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -85075, -170716, -256357, -341998, -427639, -513280?\n\"Answer: -85641*l + 566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42 - 41.9. Suppose 0*n = -2*n + 6. Let h = -107\/7 + 15. Which is the closest to h? (a) n (b) q (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2475*a + 2478*a - 10*a**3 - 15*a**3 wrt a.\nAnswer: -150*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2104?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a centimeter in micrometers?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -898, -1089, -1402, -1837, -2394, -3073, -3874?\n\"Answer: -61*q**2 - 8*q - 829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/4)\/(5\/(-10)))\/((-28)\/(-56))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12244863 and 141?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of f**3\/6 - 7*f**2 + 6*f + 67. Let o(k) = 2*k - 42. What is 8*n(g) - 3*o(g)?\nAnswer: 2*g + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**2*j**5 - 36*b**2*j + 20199*b*j**5 + 6*b*j + 4*b + 28*j wrt j.\nAnswer: -20*b**2*j**3 + 403980*b*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 h when four letters picked without replacement from uuruhuhhuh?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 170050356 divided by -14132\nAnswer: -12033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 8:40 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 159*g**4 + 2*g**2 + 1 wrt g?\nAnswer: 3816*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8.76 and -59.45248.\nAnswer: -50.69248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 + 2 + 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3*2*sqrt(35))\/(sqrt(7) - sqrt(175)*5).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2702\/(-9) - (-6)\/27. Let z be (n\/18)\/(1\/(-6)). Let w(k) = 100 - z + 15*k. Let c(o) = 2*o**2. Determine w(c(v)).\nAnswer: 30*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8369810?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g + 2 - 2 + (3*g - 5*g - g)*(1 - 3 + 0))*(0 - 4 + 3).\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 + 36. Suppose 0 = g*a + a - 27. Suppose 2*p + 5*x - 15 = 0, -x - 2*x + a = 0. Solve 2*t - 5*t - 15 = p for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*p + 8*p = 15*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -147 + 155. Suppose -2*p + a = 0, 51 = 5*x - 2*p + 9. Solve -6*n + 4*n + x = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87 = 3*m - 90 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three sixteenths of a century?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 65 - 61. Suppose -p - q + 3*q = -49, 4*p = -2*q + 186. Let x = 48 - p. Solve x = b - j for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*l**3 + 69*l**3 + 40*l**3.\nAnswer: 99*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (13 + -1)*(-55)\/(-3). Suppose -5*w = 5*f - 660, -4*f - 446 = -3*w - 78. Let a = v - w. What are the prime factors of a?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*l - 4*l**3 + 2*l**3 - 7*l + 5*l**2 to b*l**2 + k + j*l + m*l**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, f: 3}. Give prob of sequence ffcc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8388, -8384, -8378, -8370, -8360, -8348, -8334?\nAnswer: -8318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-2 - -7 - -4 - 5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11\/10 - 3\/5. Let t = 32 + -26. Let n(b) = b**2 - 7*b + 7. Let k be n(t). Is v less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1922*h - 647*h - 647*h - 630*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 2 + -2 + 1 + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6583 + 6593. Solve -14*x + a*x - 2*w = -12, 4*x - 16 = -4*w for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -3*j - 3*d + 6*d, 0 = -5*d + 20. What is the remainder when j is divided by (-80)\/(-6)*21\/14?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*j**2*w**3*x + j**2*w*x - 24*j**2*w + 91*j*w**2*x - 224*j*w + 10*w**3*x + 4 wrt w?\nAnswer: 54*j**2*w*x + 182*j*x + 60*w*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.35 - -0.02. Let p = -6.67 + z. Which is smaller: 0 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13040149789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5147\/(((-1)\/(-3))\/(8\/24)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 296080 and 340?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -25*k**2 - 358*k + 1060. Give h(3).\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 71798936623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 26 - 44 = 0. Let j be (12\/s)\/(21\/35). What is the remainder when 131 is divided by (-595)\/(-50) + j\/20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2524 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/((-1386)\/(-108)))\/(9\/(-210)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.2 + 0.2. Let k = 61201 - 61201.99932. Let x = z - k. What is x rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 42 - 7*t - 43 + 74. Let b be s(-5). Let f(v) = 7*v**2 - v - 1. Calculate f(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**2 + 18*t + 20. What is the remainder when 204 is divided by y(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n - 104 = -83 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2209074?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5a24179 - 5a?\nAnswer: -5a24217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42 (base 12) to base 15.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8 (b) 3 (c) -2\/127\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -619, -2533, -5737, -10243, -16063, -23209?\n\"Answer: -2*n**3 - 633*n**2 - n + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*(z\/(((z\/z**(2\/11))\/z)\/z))\/z)\/z**18*(z\/z**(-4\/9))\/(z*z**(-11\/3)))**(-2\/3) assuming z is positive.\nAnswer: z**(2120\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, p: 2, n: 1}. What is prob of picking 1 p and 1 w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g**2 + 2497*g - 124054.\nAnswer: 4*g + 2497","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.020537 times -0.3\nAnswer: -0.0061611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-5 - -7) + (-56)\/21)*(1 + -34) and 4408.\nAnswer: 48488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(-25)*-5*2. Suppose -b*z - 3*z + 3*c = 12, -4*z + 3*c - 12 = 0. Let z*v + 4*v**2 + 3*v**2 - 28*v**2 + 18*v**3 + 3*v = 0. Calculate v.\nAnswer: 0, 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1408750926.\nAnswer: 2, 3, 11, 21344711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6569 times -0.6\nAnswer: -3941.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*r - 5*h - 10 = -7*r, -4*h = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 549 + -549. Let j = 10 - 0. Let m be (-10)\/4*1\/j. Which is the nearest to d? (a) -0.5 (b) -2\/11 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 15\/7, 0.3, 2, -5\/2 in descending order.\nAnswer: 6, 15\/7, 2, 0.3, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -311538*y**2 - 94824 wrt y?\nAnswer: -623076*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rryuyrururu. What is prob of picking 3 r and 1 u?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q + 1 = 19. Suppose 4*b + 4*v - 108 = 0, q*v + 30 = 5*b - 126. Let x = 259 - 49. What is the greatest common divisor of b and x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/3 + 34\/6. Suppose a - g*a = -55. Let s be (-1 - -7) + -1 + -1. Solve 5 + a = -s*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 248.258 and 4996.\nAnswer: 5244.258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y*y*((y*y\/(y\/((((y\/(y*y*y\/(y\/y**(-1))))\/y)\/y)\/y)))\/y)\/y*y))**(4\/3))**4)**(2\/9) assuming y is positive.\nAnswer: y**(64\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 v, and 1 s when three letters picked without replacement from yyyzzivyvsbiybyvbzzb.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -4*k**2 + 3. Let m(c) = -7*c**2 + 5. Suppose 118 = 5*i - 82. Suppose 0 = t - 0*t + u + 2, -5*t - i = -5*u. Give t*j(x) + 3*m(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-987)\/(-4935)*(-5)\/(-6)*27.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1690 and 16786432?\nAnswer: 83932160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 + (-28 - -189 - 53)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 244c?\nAnswer: -2451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - f**2 + f + 4. Let r be k(0). Suppose 9 + 3 = -r*j - 4*d, -5*j - 4*d = 10. Let z = 0 + j. Solve 0 = s - z*s + 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 151909108.\nAnswer: -5\/151909108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -3*d**5 + 819*d**4 + 71622*d**3 - 23670876*d**2 + 47048760*d = 0?\nAnswer: -165, 0, 2, 218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -322 by 1.\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, -70\/9, -0.4, 0.75?\nAnswer: 0.75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 3 (b) -6 (c) 9\/7 (d) 4 (e) 0.58\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 5:32 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 12*q**2 - 30*q + 31. Let d be l(9). Suppose 8 = d*y + 2*x, x - 4 = 2*y - 0*x. Solve -z - 8*z + 18 = y for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4776*x + 89680 - 14650 = -5386*x for x.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00043069219 rounded to seven decimal places?\nAnswer: -0.0004307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11725)\/105)\/(-13*(-40)\/312)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 2*i - 21 + 91, 85 = 2*z - 5*i. What is the smallest common multiple of z and 165?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 3*r**2 + (2 - 6 + 2)*(2*r**2 + 4*r**2 - 4*r**2).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 8*y + 10 = -3*y, -f + 22 = -3*y. Let c = -2 + f. Let k = -8 - -19. Solve 3*n = -a + c, 3*n = -4*a + k + 9 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m**3 - 202*m**2 + 7*m - 1758. Let b(i) = 2*i**3 + i**2 - i + 1. Let j(s) = -5*b(s) - x(s). What is the second derivative of j(a) wrt a?\nAnswer: -42*a + 394","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 3:13 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3653766 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-62 + 1 - (1328 + -1379)) + (1 - (11 - 0)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*b - 11. Let k(o) = o**3 + 5*o**2 + 4*o + 1. Let i be k(-4). What is the greatest common factor of b and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -7*b + 7. Let u be l(-12). Suppose -2*f + u + 5 = 0. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**(-2))*y)**32)**(6\/7) assuming y is positive.\nAnswer: y**(576\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - 5*n + 4*n)*(-172 + 126 - 182 - 148).\nAnswer: 376*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14529076 is divided by 1312.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 903 + -926. Let h = t + 155. Calculate the greatest common divisor of 99 and h.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - p. Let q be t(-2). Let n be (1\/q*-2)\/(-1). Which is greater: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100112 + 11010221122121?\nAnswer: 11010221022002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3*q**2 + 1. Let l(h) = 7*h**2 - 3. Suppose 0*o = 2*o. Let d = o + 2. Let r(b) = d*l(b) + 5*s(b). Find the first derivative of r(m) wrt m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 42 and -359468.3326.\nAnswer: -359426.3326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + z**2 + (-2*z + 3*z - 2*z)*(2*z - 39*z - 5*z).\nAnswer: 43*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of f**5\/20 + 5*f**4\/12 - f**3\/6 - 3*f**2\/2 + 8861*f. What is h(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9\/257 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -629801?\nAnswer: -4\/629801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 977*a**2 - 1. Let n(f) = -2*f**2. What is p(n(d))?\nAnswer: 3908*d**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 642.4 + -642. Which is the closest to 0.3? (a) n (b) -1\/19 (c) 0 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 - -3. Let g = l - -16. Let j be g + (180\/175 - -2). Is 1 at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14957216?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7396 is divided by 185?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11.6 + -12. Let k = l - -0.6. Let x = 12 + -11.9. Sort k, x, -5\/2, -5 in ascending order.\nAnswer: -5, -5\/2, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/6)\/1*3. Let d be (30\/l)\/(-1 - 0). Let n = d - 8. Calculate the common denominator of 87\/20 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/(-1))\/(((-15)\/(-6))\/(132\/264))?\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210278 is divided by 518.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(1\/7)*x*x**(3\/5)\/x assuming x is positive.\nAnswer: x**(61\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 41.65999 to two decimal places.\nAnswer: 41.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 1:05 PM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 25, -2, -4\/7, 3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/30 + 81009\/135?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3*q + 2*q - q - 2 + q**2. Suppose a + 4*a = 80. Let o = -13 + a. Determine p(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 23*w. Let l(t) = 33*t. Calculate m(l(i)).\nAnswer: 759*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 8 = -0. Let c(a) = -6 - 3*a + l + 5*a. Suppose 5*r + 3*i - i - 29 = 0, r - 13 = -4*i. What is c(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -71457 - -8?\nAnswer: -7144a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1.037 + 575441285\nAnswer: 575441283.963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*z + 8*z + 3160*z**5 - 27 - 1643*z**5 + 5*z wrt z.\nAnswer: 30340*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 2*p**2 + 2*p. Let q(r) be the first derivative of -r**4\/2 + 2*r**3\/3 + 3*r**2\/2 + 206. Give -5*c(g) + 4*q(g).\nAnswer: -3*g**3 - 2*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7338 + -2771. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g + 35*a - 31*a - 29, -3*a + 28 = 5*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3881165.\nAnswer: 5, 776233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -642 at most as big as -642?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 88.5 - 88. Let z = -3\/38 - -139\/798. Which is the third biggest value? (a) q (b) z (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.9 in -0.05, 2, 13, 0.133?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d - d + 2*u + 6 = 0, 0 = 3*d + 4*u + 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -673771, -1347522, -2021273, -2695024, -3368775, -4042526?\nAnswer: -4716277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s - 3*s + 7*s + (1 - 3 + 0)*(-3*s - 2*s + 4*s) - 48 + 17*s - 40*s + 21*s as k*s + v and give v.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.15851 and 71.8144926.\nAnswer: 71.9730026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 63*o + 92*o + 109*o - 61*o in the form z + n*o and give n.\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 120 and 240 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3046 = -5*w + 11821, 2*k = -w + 1743. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140817133 to the power of 1\/2, to the nearest integer?\nAnswer: 11867","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11316 and 30276.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 11:20 AM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/1024062 and 55\/912.\nAnswer: 8192496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 7:06 AM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 2733.\nAnswer: 5466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by (-2)\/2 - (-39 + -4).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5204604 rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 9*p**2 + 2290*p + 3. Let s(f) = -f. Give s(o(q)).\nAnswer: -9*q**2 - 2290*q - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.4 (b) 0 (c) 24.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (84\/18 - 5)\/(1\/(-9)). Suppose -p*q = 3*q - 18. Let i(b) = b**2 + 5*b - 5. Let g be i(-6). Solve -2*n + 11 = g, q*n = 3*m + 21 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + -1 + (sqrt(833))**2 + 1*(-1 + -3 + sqrt(17))).\nAnswer: -2475 - 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 6*y - 4*y + 0*y. Let q(v) = 27*v - 13*v - 4*v - 12*v. Calculate q(i(a)).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 309*w**4 + 83581*w**2 - 2*w - 26508891.\nAnswer: 3708*w**2 + 167162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 5*u - 2*u + 216, -3*w + 215 = -4*u. Suppose 4*r - w = 15. Let y be r\/55 + 13\/5. Is y >= 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q - 3. Suppose 3*i - 2*s = -2, -i - 19 = -0*s + 3*s. Let y be i\/((-2)\/(-2))*(0 - -1). What is n(y)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 2*f + 2 + 20, 5*o + 29 = -f. Suppose -4*h - 14 = 22. Let u(y) = -y - 8. Let i be u(h). Are i and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 831, 841, 865, 909, 979?\nAnswer: 1081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 894*j**3 + 822*j**3 - 1707*j**3 + 276*j - j**2 in the form y*j**2 + z + f*j**3 + u*j and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - u**2 - 22*u - 10. Let r be m(7). Let n be 923\/r - (-3 + 10). Which is the fourth biggest value? (a) n (b) 5 (c) -0.3 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyylyylycmmyly. What is prob of sequence ymc?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 13*j + 1. Let k be o(-13). Let m = -182\/5 + 36. Which is the closest to k? (a) m (b) -3\/2 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -211220301 (base 4) in base 14?\nAnswer: -40277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39953, 39637, 39113, 38381, 37441, 36293?\nAnswer: 34937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -177864?\nAnswer: 17786.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -205, -893, -2063, -3715, -5849, -8465?\nAnswer: -11563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 182637716 to the nearest integer?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -2*h - 441. Let f = h - -59. What is the units digit of f\/(-26) + (-10360)\/(-91)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.61 * -0.0783.\nAnswer: 0.047763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*(((q**(2\/21)\/q)\/q)\/q*q)\/q*q)\/q)\/q*(q\/q**(3\/5)*q*q)\/q)**(-50))**(-20\/3) assuming q is positive.\nAnswer: q**(-31600\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/7 + 36166\/91. Differentiate a*z**2 + 5 - 392*z**2 - 125 + z with respect to z.\nAnswer: 10*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1530 and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.539 at least 2\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*k - k + 2*k)*(2 - 5 + 2) - 5*k + 5*k + 3*k - 7*k - 26*k - 8*k as z + v*k and give v.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*x - 3, 4*t - x + 23 = 0. Let f(c) = 6*c + 57802 - 57808 - 3*c**2 - 2*c**2 - c**3. What is f(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 136 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g - 4. Suppose 0 = -5*s - 5*h + h + 33, -2*h = -s + 15. Suppose -s*r = 28 + 8. Let q(w) = -2*w + 3. Give r*q(o) - 3*t(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3191886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4)\/h)**23*(h**(2\/17))**(-40) assuming h is positive.\nAnswer: h**(-2035\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34*l + 1 + 1 - 7*l - 88*l**2 wrt l.\nAnswer: -176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8091283 to the nearest integer?\nAnswer: 2845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6}. Give prob of picking 4 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -16 - (-1 + 4 - 3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -7*i**2 - i + 8. Let r be p(-1). What is the nearest to -0.98 in 1, r, 0, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 261 and 0.5.\nAnswer: 261.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, f: 1, e: 4, z: 1, c: 4, a: 7}. What is prob of picking 1 e and 1 f?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9635663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q**3 - 11*q + 896. Let w be ((-1)\/(-4))\/(-1)*(6 - 6). Is z(w) a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 11*l - 71. Let c(z) = 10*z - 72. Determine -4*c(i) + 5*p(i).\nAnswer: 15*i - 67","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -6709?\nAnswer: -6705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 145302 and 2074?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one halves of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-4 + sqrt(1377) + 2 + 2)**2 - (sqrt(1377) + (sqrt(1377) - (-1 + sqrt(1377) + -3) - sqrt(1377)) + 5 + sqrt(1377) + sqrt(1377) + 1)**2).\nAnswer: -4236 - 360*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, -27, 2, 1\/7, 3\/2, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 6:20 PM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**4\/7 - 1940*n**3\/7 + 383986*n**2\/7 - 1134444*n\/7 = 0.\nAnswer: -1139, 0, 3, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*g + 676 = -39*g - 80*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*i - 97*i - 10 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 7*z**2 - 2*z - 5. Let h be c(6). Suppose -h = -4*m + 85. Solve y = -5*k + 25, -4*y - 3*k + m = -6 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 1:34 PM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4*o + 1)*(-3 + 1 - 1) + 2 - 2 + 2*o - 2*o + o + 2*o - 28*o + 9*o - 24*o + (-1 - o + 1)*(1 + 2 - 1) in the form w*o + h and give w.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = -8*w. Let z(r) = w*r**2 - 5*r**2 - 6*r**2 + 3*r**2. Let x(i) = -2*i**2. Give z(x(g)).\nAnswer: -32*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35353 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27138?\nAnswer: 2, 3, 4523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 779 - 419 = 0. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/2700 and -41\/2385.\nAnswer: 143100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2.193771 years?\nAnswer: 0.2193771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4235\/8, -0.092 in ascending order.\nAnswer: -4235\/8, -0.092, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -23. Suppose -4*p = -1 - m. What is the third derivative of 0*n**p - 6*n**4 - 4*n**2 - n**4 wrt n?\nAnswer: -168*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30)\/(sqrt(5) - sqrt(180)))\/sqrt(3))**2 + -1 + (sqrt(24)\/sqrt(48) - sqrt(2)).\nAnswer: -23\/25 - sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3*j)*(3 + j - 3).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - x = 2*y - 13, -3*y + 23 = -4*x. Suppose -4*l - 25 = -m, -3*l - 20 = -y. Calculate the greatest common factor of 35 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/4 of a litre in millilitres?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.3 * 598.\nAnswer: -777.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3862 - 24*d + 0*d - 6*d - 3864 - 115*d.\nAnswer: -145*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 636791 smaller than 2\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4506*i = -4515*i + 315. Solve -20*u = -27*u + i for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + 1042 + (-3 - -8). Let u be z*(-178 - (1 + 1)). Round u to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 160*u**2 + 171*u + 2486. Calculate o(161).\nAnswer: 4096","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 80.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(65) - sqrt(65))*1)\/sqrt(5))**2 - (sqrt(78)\/sqrt(24) + -1) - (-3 + -2*(-3 + 2*sqrt(52)\/sqrt(4))).\nAnswer: -2 + 7*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1063 * 45\nAnswer: -47835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 219445 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 6 + 3 = 2*n, -5*g + 3*n + 34 = 0. Let q(d) = 26*d**2 - 14*d - 13. Let s be q(11). Suppose g*f - s = -4*f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (20 - (13 - 21) - 10).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -325, -507, -675, -823, -945, -1035, -1087, -1095?\nAnswer: -1053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1060)\/80 - -13) + -3 + (-217)\/(-52)?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2520 or -2521?\nAnswer: -2521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 769684753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 4*l + 1. Let t(j) = 5*j - 147. Give t(k) - y(k).\nAnswer: k - 148","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-136)\/85*(0 - 2)\/4. Let r = -276\/1397 + 2\/127. What is the second biggest value in 5, n, r, 0.17?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/(-16)*2\/(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -152*q + 4. Give p(-1).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 + -0.4. Let y(h) = -h**2 - 100*h - 895. Let s be y(-90). Sort s, -0.4, o, 4\/3.\nAnswer: o, -0.4, 4\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, g: 3, w: 1, f: 3, k: 1}. Give prob of sequence fp.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1604 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -874.297 to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11881 is divided by 42.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t - 3 + 3 + (3 - 2 - 3)*(0*t + 0*t - t) + t - 2*t - t + 4 - 5*t - 4 - t + 4 + 1 - 4.\nAnswer: -4*t + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, 1\/6, 3, -1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.138 - 69.\nAnswer: -68.862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*t + 2*h - 15, -3*h = -t - 15. Let q be t + 2\/8 - 18552\/96. Let c = q + 344. What are the prime factors of c?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 g when three letters picked without replacement from mggmggggggggg?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, r: 1, x: 6, i: 4}. What is prob of picking 1 x and 1 r?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.3 - 3.5. Let z = 1.1 + m. Let j = z - -0.037. What is j rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -k**7\/1260 + k**6\/144 - k**5\/60 - k**4\/36 + 2*k**3\/9 + 2*k**2. Factor n(l).\nAnswer: -(l - 2)**3*(l + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -111, 3, -19?\nAnswer: -111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j - 33. Suppose -5*h + 3*a = -49, -39 = 17*h - 20*h - 3*a. Let q be v(h). Solve 16 = -4*p, -2*x + 3*p + 2 + 2 = q for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-551 - 304 - 646)*(-3*l + 3*l + l) + 4*l - l - l.\nAnswer: -1499*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2058 and 126?\nAnswer: 6174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - o + 1. Let t(z) = -6*z**2 - 2*z + 7. Let s(g) = 5*j(g) - t(g). What is s(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 12 - 4 + 9*v + 0 - 5.\nAnswer: 9*v + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 269 - 110. Let r = 268 - t. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 1:50 AM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3252779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 58 + -53. Let t = w - 62. Let v = t + 84. What is the remainder when 52 is divided by v?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n + 37*z + 48 + 275 = -93, -4*n + 6*z - 208 = 11*z for n.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 4:00 PM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*q - 21*q - 4*i + 18 = 0, -5*q + 15 = 5*i for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/3*(2 + 25). Let i be 4\/t + 8\/(-36). Suppose 13 = 5*f - 2*l, i = 2*f - f - 3*l. Solve 0*h = f*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 16*w**2 - 4*w. Let c(s) = 2*s**2 - 106*s + 1393. Let u be c(29). Determine l(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21721 and 31030.\nAnswer: 217210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 30803318?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 7 = c, -3*r + r = 2*c - 22. Suppose 0 = -10*b + c*b - 915. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 125\/45 - 2\/(-9). Suppose 2*n + 10 = u*n. Solve -2*t = -0*t - n for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 119 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 7*y**3 + 2*y + 2. Let o(i) = 8*i**3 + 5*i**2 + 5*i + 20. Let d(k) = -j(k) + o(k). Determine d(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-84)\/18)\/(88\/(-396))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22.04 + -26.04. Which is the second smallest value? (a) 2\/9 (b) 1253 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -75, -187, -355, -585, -883, -1255?\nAnswer: -1707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u - 3690*u**3 - u + 4*u.\nAnswer: -3690*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 30 - 13 + 34 - 5*r + 3*r. Let a be w(23). What is the fourth smallest value in 3, a, 3\/5, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z + 49 = 89 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y*y\/(y**3\/y))))**(-2\/27)*y**(-2\/5)\/(y\/(y*y\/(y*y**(-2))*y)) assuming y is positive.\nAnswer: y**(13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 8:28 AM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 4*f + 398 = 418, 4*r - 16 = 3*f for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 131573?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -1, -65, -5 in decreasing order.\nAnswer: -1, -5, -7, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 7. Let n(x) = x - 1. Let y be n(-3). Let r = -45\/2 + 22. Which is the second biggest value? (a) s (b) y (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-10) + (-3988)\/(-5). Let b be u\/4 + 4\/8. Suppose -5*t + 2*y + b = 0, 2*y + 3 = -7. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71 - -2072060516102.\nAnswer: 2072060516031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -8 + (36486\/8)\/(14 - (-220)\/(-16))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.0806643 less than -0.1?\nAnswer: 45.9806643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 66 - 114. Let g be (2\/3)\/(2\/m). Let l = g + 28. What is the greatest common divisor of 6 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 72 = -48. Suppose -191 - 13 = 4*a. Let o be (-3 - a\/u)*3\/(-15). Sort -4, o, 0.3, -0.5.\nAnswer: -4, -0.5, o, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5085\/10 + 1 + 2\/(-4).\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 316969\/2 - 1\/2*z**3 - 1125\/2*z**2 - 315843\/2*z.\nAnswer: -(z - 1)*(z + 563)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1567940520 - 8*u**2 - 1567940520.\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 8 + 4 + 6*v**2.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l - 6. Let u = 7 + 5. Let w be (-64)\/u + 8\/(-12). Give i(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25990670?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*(-12)\/18*(-36)\/28?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 149639?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*t**2 + 2 + 2*t**2 - 1 - 42*t**2 as o + z*t + n*t**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s - 4*i + 64, -s = -5*i - 786 + 758 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -607692, -607708, -607732, -607764, -607804, -607852?\n\"Answer: -4*z**2 - 4*z - 607684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2788845*z**2 + 1394421*z**2 + 1394421*z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*v**2 + 171*v**2 - 66*v**2)*(-v - 4 + 4) - 4*v**2 + 4*v**2 + 2*v**3.\nAnswer: -135*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/9497?\nAnswer: 2\/9497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 96377 - 31555. What are the prime factors of s?\nAnswer: 2, 32411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h - 1. Let g(d) = -2*d + 1. Let t(z) = 4*z + 7. Let a be t(-4). Let n(b) = a*p(b) - 4*g(b). What are the prime factors of n(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from rrrrrrrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + 4*l - 3. Let t be p(2). Suppose -4*s + 136 = -4*y, 10 - t = s + 4*y. Is s a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 79931 and 670.\nAnswer: 799310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 = 2*y - 6*y. Let s = -28 - y. Let u = 14 - 12. Solve z - s = -u for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/174 + -361\/2262. Let b be 15\/28 + (-2)\/8. What is the third smallest value in 0.4, h, b?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(84)*4)\/(sqrt(48)*-1).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -241957, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - r**2. Let x(u) = u**2. Determine 4*s(i) + 4*x(i).\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**3 - 13*k**2 + 46*k + 9. Give u(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (10 - 7) + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.7 + 8. Let f = -241\/7 - -2637\/77. Which is greater: q or f?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is dfa - -2?\nAnswer: dfc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 28 = 19*j. Suppose -4*x + 425 = -3*k, -7*x + 260 = -j*k - 9*x. Is -135 smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -67 - -27. Let b be (11 + -1)*(-272)\/q. Let a = b - 48. Calculate the smallest common multiple of a and 14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002115985 to 7 decimal places.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + i - 3 + 1 + 0 - 3*i**3 - i**2 in the form t*i + a*i**3 + p + w*i**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 59 = 1. Let t = 29 + h. Suppose t*u = 5*u + 176. What is the highest common factor of u and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -s - 1. Let t = -1969 - -1975. What is the smallest value in 2\/13, t, -4\/3, s?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(243) + sqrt(243)*1)**2)*-4.\nAnswer: -3904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, z: 2}. What is prob of picking 1 z and 1 w?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(672) - sqrt(42))\/((sqrt(6) - -1*sqrt(6))*1).\nAnswer: 19*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/2882756 or 1?\nAnswer: 3\/2882756","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-15)\/21)\/(4\/(-28)). Solve 0*i + j = 3*i - 11, -i + k*j + 27 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -9*l**2 - 10044*l + 623921. Calculate d(-1175).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, -0.19, -2, -2\/9, 0.11 in descending order.\nAnswer: 0.11, -0.19, -2\/9, -2, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1414000 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/(-50)*20*1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.811 and -3.3?\nAnswer: -5.9763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -4\/3, -0.3 in decreasing order.\nAnswer: 7, -0.3, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**2 - 5531728*d + 5531728*d - 43.\nAnswer: -2*d**2 - 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -232029725 divided by -145?\nAnswer: 1600205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/5)\/(4\/(-14)) + 1.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 625356 at most 625356?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - (1 + -34)*304\/24. Let w = 433 - q. Suppose -4*p + 185 = -247. Calculate the greatest common divisor of w and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1540, 6252, 14122, 25150?\n\"Answer: 1579*n**2 - 25*n - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(200) - sqrt(200)*-6) + 3)**2 + (-5 + 5*sqrt(200))*3.\nAnswer: 1410*sqrt(2) + 88194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 62*o - 314681 + 312511 for o.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1198 - 599 + 4523*m - 599 to the form c + g*m and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**5\/3 + n**4\/3 + 5*n**3\/3 + n**2 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -492000 to the nearest ten thousand.\nAnswer: -490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -129746*w**5 + 421*w**2 - 87*w + 1 wrt w?\nAnswer: -7784760*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 8*c**2 - 15*c + 10. Let p = -7 - 5. Let l be u(p). Is (-6)\/9 + l\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = -11*h + 655. Suppose h*c - 63*c = 630. Is 35 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*m + 19 = 117*m. What is the highest common factor of m and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51a33 (base 14) to base 9.\nAnswer: 328888","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -508*g**2 - 462*g**2 + 980*g**2. Let q(w) = 818*w**2. Calculate q(s(m)).\nAnswer: 81800*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 + 0)*(50*z + 63*z + 17*z + 35*z)*(z + z - 4*z) as s*z + d*z**2 + k and give d.\nAnswer: -660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nizinnxiiibuu. Give prob of sequence uu.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3*f = -8422015, -6*x + 3*f + 21055015 = -x. Round x to the nearest 100000.\nAnswer: 4200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**8)**(-11) assuming t is positive.\nAnswer: t**(-88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2189593247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 11)*6\/(-9). Suppose -5*a + v = -116, -a = 2*v - 6*v - m. Calculate the highest common divisor of a and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q**2 + 3*q + 9. Let f be z(-7). Suppose -4*i - i = -f. Does 9 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 20*q - 10. Let y(b) = -8*b + 4. Let w(j) = -j**3 - 7*j**2 - 9*j + 10. Let g be w(-5). Calculate g*v(l) + 12*y(l).\nAnswer: 4*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 46455094 and 46455092 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/11 and (-2 - 48\/(-30))\/(160\/(-1175)).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 5*l**2 - l. Suppose 2*k - 3*k + 2 = 0. Suppose -4*r + 18 = -k. Let g = -10 + r. Calculate z(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 261198387 and 2.527.\nAnswer: 261198389.527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/41 and -64\/297.\nAnswer: 12177","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002902 to 5 decimal places.\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1332 is divided by 433.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(715\/66))\/(6\/10)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13146699?\nAnswer: 3, 47, 93239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -558*h + 434 = -556*h. What is the least common multiple of h and (-590)\/(-80) + 6\/(-16)?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 186 + -203 + (0 - 0) + 0\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ywv when three letters picked without replacement from rwyvhiv?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18)\/(-4)*4\/6. Suppose 7 + 44 = m*b. Let l(v) = -7*v - 5. Let d be l(-8). What is the highest common factor of d and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = -8*l + 4*l. Let o = -143 + 160. What is the remainder when l is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -0 - 15. Let p be (-2)\/((-6)\/9) - 4. Let z be p\/2 - (-7)\/(-2). Sort -2, z, n.\nAnswer: z, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1817 and 2054?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 358170?\nAnswer: 2, 3, 5, 11939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2376*s + 21559 = -88574 - 1539 for s.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express d**3 + 1 + 5*d**3 + 0*d**3 as f*d**3 + w*d + c + x*d**2 and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from {k: 14, z: 1}.\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.246 + -0.1\nAnswer: -0.346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of p**4\/4 - 8*p**3\/3 + 7*p**2\/2 - p - 2. Determine q(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02, -1\/5, 4, 0.5 in ascending order.\nAnswer: -1\/5, -0.02, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 160*b**5*m*n**2 - b**4*m*n**3 - 2869*b**2*m*n**3 wrt b?\nAnswer: 9600*b**2*m*n**2 - 24*b*m*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m + 1. Suppose -475 - 245 = 240*u. Let c(i) = 2*i + 2. Determine u*v(t) + c(t).\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/13359 and 8\/360693?\nAnswer: 360693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1900) + (sqrt(1900) - (sqrt(1900) + sqrt(1900)*-1) - sqrt(1900)) + (-1*sqrt(2299))**2 + (-4*(sqrt(57) + sqrt(513))\/sqrt(3) + -2)**2.\nAnswer: 74*sqrt(19) + 7167","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -2001022?\nAnswer: -2001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2860 divided by 260?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c*c**15*c))*c*c**(-8)*(c\/(((c**(2\/7)*c)\/c)\/c))**(-27))**43 assuming c is positive.\nAnswer: c**(-10922\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + (-2 - (-27)\/7). Let a = -3.6 + 0.6. Put y, 3\/2, a in increasing order.\nAnswer: a, y, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 983\/6631 - 15\/349. Which is the nearest to -1.8? (a) r (b) -1\/3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42 - -42.62. Let q = 0.42 + 0.1. Let i = q - m. Sort 4\/7, i, -3.\nAnswer: -3, i, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120110001220 (base 3) to base 8\nAnswer: 1121654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -4356*r + 22. Let t(g) = 11*g + 2. Determine a(l) - 10*t(l).\nAnswer: -4466*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/g**10*g)\/g**(-1\/21))\/(g**(-2\/3))**20 assuming g is positive.\nAnswer: g**(134\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**3 - 6530 + 6530 - 19*s**3.\nAnswer: -17*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3559573638 to the nearest integer?\nAnswer: 1527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + 1. Let s be v(2). Let z = 146 - s. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**2 - 13*t - 230. Let z be k(-8). Solve -5*c + 36 = 4*a, 2*a = -c - z*c + 20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 19\/43 (b) -0.081 (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -59*r**2 - 84*r + 2507. Let q(u) = 127*u**2 + 168*u - 5014. Let l(g) = 13*m(g) + 6*q(g). Find the first derivative of l(o) wrt o.\nAnswer: -10*o - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33365 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4*((sqrt(560) - sqrt(35) - sqrt(35))*-5 + -1*sqrt(1715))\/(sqrt(70)\/sqrt(90) + (sqrt(1008) - sqrt(63))).\nAnswer: -51*sqrt(5)\/7 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -q**4\/6 + q**3\/3 + q**2 - 5*q. Let s(y) = 4*y**2 - 5*y - 5. Calculate -2*s(k) - 5*t(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, q: 1, n: 5, s: 2, k: 8}. Give prob of picking 2 k.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -21804894, -21804886, -21804878?\n\"Answer: 8*y - 21804902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79057 is divided by 39527?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1752)\/(-14) + (-384)\/(-448). Solve -9*d = q - 90 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12434649, 12434653, 12434657, 12434661, 12434665?\nAnswer: 12434669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in ten thirds of a week?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 26963, 26970, 26977, 26984, 26991, 26998?\n\"Answer: 7*l + 26956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 11, -19, -69, -145, -253, -399?\nAnswer: -589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*t + 68 = 3*t, -5*t = -3*n + 184. Let u = -27 + n. Does 3 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -1075997*i. Let l(z) = -3*z**2. What is d(l(p))?\nAnswer: 3227991*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.88*6996.\nAnswer: 34140.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 925689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13\/53434571 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q - 4*q + 6951*q**2 - 6950*q**2 + q.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**2 - 4*x**2 + 50297 - 50297. Let n(u) = 13*u + 3. Let b(j) = 365*j + 85. Let z(s) = 6*b(s) - 170*n(s). Calculate z(a(i)).\nAnswer: 40*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000307571 to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*p - 59*p**3 + 18*p - 42*p - 7*p.\nAnswer: -59*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-5))\/((-2)\/(-5)). Suppose -285 = -p*y - 3*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 91 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 4074.\nAnswer: -20370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -429*t**2 + 2*t**4 - 2 - 7*t + 2225*t**2 + 297*t**3 + 6*t + 4*t**5 wrt t.\nAnswer: 240*t**2 + 48*t + 1782","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*(-8)\/(-24) + (-29)\/12.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, u: 2, v: 2, t: 5, c: 1, n: 5}. Give prob of sequence vuuv.\nAnswer: 1\/14280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-27)\/6)\/(1\/(-2)). What is the common denominator of (-27)\/12 - s\/(-15) and (6\/(-28))\/((-9)\/255)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -686.866587 plus -0.0764?\nAnswer: -686.942987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 6*u**3 - 3*u**2 - 8*u - 13. Let c be a(-6). Let b = -8233\/6 - c. Calculate the common denominator of b and (-7)\/(-2 + (-6)\/7).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 34494 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 2:05 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + (-97 - -102) + (-4 - -127) + 1.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000009514 rounded to six decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 6284 - 14003. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 150 and 1700?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and 319.\nAnswer: 319.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1194433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2682584 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 189297 and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.549 to 0 dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -21*n**5\/2 - 1077*n**4\/2 - 1623*n**3 + 1596*n**2 + 576*n = 0?\nAnswer: -48, -4, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**1*d**4*d**(-4\/5)*d**(-2\/5)*(d**7\/d**(1\/11))\/((d\/d**(1\/5)*d)\/(d*d**(-3)*d*d)) assuming d is positive.\nAnswer: d**(98\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 3.83, -10, 1\/10?\nAnswer: 3.83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 = -6*w + 332. Let v = -58 + w. What are the prime factors of v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + sqrt(17) + -3 - sqrt(17)) + 3 - (sqrt(17) - sqrt(170)\/sqrt(10)*1).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -2. Let s(b) = b + 7. Let i be s(j). Let q be (-4)\/(-10)*(-5)\/i. What is the nearest to q in -3, -2\/17, 1\/7?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -36, -81, -138, -213, -312, -441, -606?\n\"Answer: -t**3 - 38*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 3*i = -95, -5*i = 12 - 37. Let b(y) = 28*y + 1. Let j be b(-1). Let d = j - -44. Solve 0 = 4*l + 3*g + d, 0 = -4*l - l - 5*g - v for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12545 + -12536?\nAnswer: -25414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/sqrt(9) + 2 - ((sqrt(176) + 2)**2 + sqrt(176)) - (-1*(1 + sqrt(176) - (0 + sqrt(1584) - sqrt(1584) - sqrt(1584))))**2.\nAnswer: -2995 - 51*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.481 and -0.05973.\nAnswer: 0.14819013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**4\/7 + 118*b**3\/7 + 2108*b**2\/7 - 4672*b\/7 = 0 for b.\nAnswer: -16, 0, 2, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.02 (b) 0.2 (c) 1\/2247\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 273136, 273135, 273134, 273133?\n\"Answer: -q + 273137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 513, 1572, 4105, 8742, 16113?\nAnswer: 26848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -130 and -130 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is a14b (base 12) in base 13?\nAnswer: 7c5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) -10 (c) -2\/11 (d) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 178138553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 375655.\nAnswer: 5, 7, 10733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 3, -76, -18, -16 in decreasing order.\nAnswer: 3, -2, -3, -16, -18, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 62*u - 1000. What is i(18)?\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(5) + -1 + -5)**2*-3 + 5.\nAnswer: -108*sqrt(5) - 238","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12245148 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.797 + 0.103. Let r = 7 - b. What is the closest to r in -2\/11, 5\/2, -0.3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1278*x**2 + 835*x**2 + 1830*x**2 + 94*x**6 + 116*x**6 wrt x.\nAnswer: 25200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -740 - -735. What is the second biggest value in -0.6, 0.46, a?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*f**3 - 10*f**2 - 283*f?\nAnswer: -84*f - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.05 (b) -0.5 (c) -1 (d) 0 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -113 + 114. Let v(c) = 1537*c + 6. Is v(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 33*f + 2. Let q(l) = -33*l - 2. Let n(k) = -3*o(k) - 4*q(k). Is n(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 10) + (-3 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 17*a - 26. Let c be y(2). What is the highest common factor of 136 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = 375*a - 371*a + 10, 2*a - d = -12 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*n - 112 = 0, 4*c + 6*n - 148 = 3*n. Suppose -3*z = -11*z + c. Suppose -r = z*r - 750. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110000011010100 (base 2) to base 3.\nAnswer: -2220221201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 2*t - 10, 3 = g + 2*t - 5. Suppose 2*h - 16 = -g*w + 5*w, 4*w = h - 13. Solve c - 20 = 4*o + 6*c, h*o - 8 = 2*c for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that a**3 - 389*a**2 + 35074*a = 0.\nAnswer: 0, 142, 247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 73.4479 centuries?\nAnswer: 7344.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.4 - 4.3. Let q = -0.2 + -0.8. Let c = q + 1. What is the closest to c in 1\/2, r, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6630, -13264, -19898, -26532, -33166, -39800?\n\"Answer: -6634*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 174594590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5*k - 3*k, 3*k = -9. What is the least common multiple of ((-2)\/5)\/(1\/(-55)) and (-43)\/(-3) - (-1)\/z?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0)**(2\/77)*(v**1\/v)**(1\/4)*(v**0)**(2\/13)*(v**(2\/7))**(-50) assuming v is positive.\nAnswer: v**(-100\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3 = 0, w - 40554 = -2*w + 3*x. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*k + 8. Suppose -5*m = -k*m + 1. Let h(l) = -1 - 14*l**3 + 23*l**2 + 0 - 23*l**2 + l. Give h(m).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*u**4 - 9*u**4 - 3*u**3 + 6*u**4 - 2 in the form y*u**2 + b + o*u + r*u**4 + g*u**3 and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -1. Let d = x - -30. Suppose 5*y - 4*y - d = b, 3*y = 2*b + 84. What is the remainder when y is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 2*s**4 - 34*s**3 - 2*s**2 + 34*s = 0.\nAnswer: -1, 0, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 241820256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 3*l - 5*x + 10, 4*l + x + 22 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {m: 7, a: 7}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -4*h + h + 5, 0 = -3*h + 2*p + 17. Suppose -z + h*z = -0*z. Suppose -3*y + 6*y - 6 = z. Calculate the remainder when 3 is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107 - 80 - 2*h + 3*h - 15 - 12.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -0.08, -0.8, -2.\nAnswer: -2, -0.8, -0.08, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 123590497 to the power of 1\/3, to the nearest integer?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (28\/8)\/((-2)\/(-4)). Suppose 9*g - 261 = -2313. Let w = g - -222. Let b(q) = q - 6. Let k(f) = f - 7. Calculate n*b(t) + w*k(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -103 + -434535?\nAnswer: -435042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + 4 - -5)\/1. Let w be 0 - (21\/o + -2)*-12. Suppose -w*n + 1838 = -i - 3208, n + 3*i = 1255. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 200 and 199 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -18*d - 9*d + 30*d + 208 + 3*d. What is the tens digit of g(-22)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 7*v**2 - 7*v + 9. Let a be 4 - (6\/3 + 10). Give z(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z**5 + 903*z**4 - 31344*z**3 + 410112*z**2 - 1130496*z - 1572864 = 0 for z.\nAnswer: -1, 16\/3, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -61*f + 2. Let y be 6 + (-12)\/(-8)*-8. Let q be h(y). What is the greatest common factor of 69 and q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9499 rounded to 0 decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*i + i**2 + 2 - 147*i + 33*i)*(0*i + 0*i + 2*i) to c + o*i**3 + h*i**2 + r*i and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 6*k = 294 - 67, -3*u = 5*k - 119 for u.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19 and 2071.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 less than 977?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.5 (b) -0.2 (c) 0.6 (d) -0.082 (e) -4\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8428588 is divided by 857?\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 - 38*q + 50. Let s be j(-39). Let z(r) = 12*r**2. Let b(t) = -60*t**2 - 1. Determine s*z(n) + 2*b(n).\nAnswer: 12*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54567\/282)\/((-13)\/((-312)\/54)).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -16. What is the third biggest value in h, -0.3, -1\/21?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47 + (-23 - -40 - 31 - 0) - (9 + 1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2. Let o(a) = 3*a - 9. Let t be o(5). Let l(f) = -t + 5 + 10*f**2 + 1. Give l(s(r)).\nAnswer: 10*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3, 13, 39, 75, 121?\n\"Answer: 5*u**2 + u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2308\/15 or 155?\nAnswer: 2308\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/20028 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40875544 divided by 4.\nAnswer: 10218886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239*a + 117*a = -97*a + 325 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/133 - -256\/665. Let q be (-134)\/46 + 1 - -2. Which is the closest to 0.7? (a) q (b) o (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -1222121110?\nAnswer: -1222121100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 279 - 51 = 0. Is 15 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(-32)\/(-72)*630. Suppose 10*z = 3*z + o. Which is smaller: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -4, -0.2, 34\/3, -0.01, 1\/12, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(630)*-3 + sqrt(630))*3 - sqrt(630))\/sqrt(10))\/((sqrt(1296) + (sqrt(1296)*-1 - sqrt(1296)) + sqrt(9))*-1) + -4 + -5)**2.\nAnswer: 126*sqrt(7)\/11 + 10144\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - h = 19, -3*f - 6*h + 6489 = 6441 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2. Let d(y) = 13372094*y. Determine t(d(o)).\nAnswer: -178812897944836*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 9\/2 (c) 0 (d) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/9 + 474898*a**2\/3 + 633200*a + 5698808\/9.\nAnswer: -2*(a - 712351)*(a + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-82)\/4*(18\/12)\/(-29 - (-3616)\/128)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3 - -2) + (-5 - -3) - -488?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(76\/76)\/((-3)\/(-6)*-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1564\/1081)\/34 - 654\/(-94).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -5*d + 4. Let o be (-8)\/(-8)*1*7. Let s(n) = -9*n + 7. Let x(m) = o*g(m) - 4*s(m). Let w be (-2)\/6 + 3\/9. Determine x(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 9*l = -23*l - 266 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 445942 (base 12) to base 4.\nAnswer: 10021230002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 294219715?\nAnswer: 5, 401, 146743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -24*u - 22. Calculate the remainder when 412 is divided by h(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11888 + 119001\/10. Let a(l) = -1539*l**3 + 5*l**2 + 4*l - 1. Let j be a(-1). What is the common denominator of u and j\/(-120) - (-3)\/15?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 29*l**2 - 13*l**2 - 15*l**2. Let y(h) = h**3 + 3*h**2 - h - 1. Let m(c) = -2*w(c) + y(c). Determine b so that m(b) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d + 1. Let s be l(3). Let z = -118 - -118. Suppose -s*k - 35 + 103 = z. What are the prime factors of k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1248237152 a multiple of 284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -28 (b) 0 (c) 0.1 (d) 46763\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 619\/9 - (-4)\/18. Suppose -7*b = -z - 1. Which is greater: 9 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 20 = 5*c - 10*k, -c - 3*k - 12 = 0. Suppose -4*r + 0*r + 20 = c. Solve y - 30 = -r*n, n = 6*n - 4*y - 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(-4 + (0 - -3)). Let q be (-2)\/(-5) - 73\/(-5). Calculate the greatest common factor of q and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 5*z - 4. Let s be d(7). Suppose r = -0*r + s. Suppose 2*p = -p + 5*y + 74, 3*p - 2*y = r. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1795046 is divided by 1795006?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 7*k**2 + 18*k + 5. Let i be m(9). Put i, -5, -3 in decreasing order.\nAnswer: i, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11829*l**4 + 7260.\nAnswer: 47316*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b - 67 + 65 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 7*w**2 + 5*w + 2. Let g be j(6). Let u be 24\/(-9)*6\/g. Suppose -4*s = 3*n + u, 4*s + 0*s + 16 = 0. Sort 5, n, 2.\nAnswer: 2, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 16*p + 13. Let m be a(-5). Let y = 21 - m. Is y a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35 - 94 + 5)*(d + 4 - 4).\nAnswer: -124*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -61*l**3*t**2 + 7*l*t**3 + 4457*t**3 wrt l.\nAnswer: -183*l**2*t**2 + 7*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 + 0. Let m be (-320)\/q*1437000\/(-4). What is m rounded to the nearest one hundred thousand?\nAnswer: 4800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - (-20 + 36)) + (-17 - (-2 - -11))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010111000111111 (base 2) in base 10?\nAnswer: -77375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5401 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68602 = -4*d + 4*p + 68566, 3*d - 2*p = -26 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((16\/2)\/(-4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*p + 32*p = 14. Suppose 30 - 14 = p*n. Suppose -n*i + 2204 = -2076. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 332323090?\nAnswer: 2, 5, 11, 23, 5711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 356 - 767 - 14*u + 176 in the form t*u + k and give k.\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/57942000 and -49\/927072.\nAnswer: 115884000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1154210 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2*y + b = -3, 0 = -3*y + 2*b - 22. Let a(p) = -p**2 - 6*p - 7. Let g be a(y). Solve 4*q + 10 = 2*f, -4*q = -2*q - 3*f - g for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -194, -661, -1456, -2531, -3838, -5329, -6956, -8671?\nAnswer: -10426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*o**2 + 25*o**2 + 66*o**2)*(52 + 12*o - 6*o - 8*o) to r*o + y + s*o**3 + f*o**2 and give s.\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-528)\/(-10560))\/(1\/((-8)\/3))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of -b**4\/24 + 2*b**3 + 3*b**2. Let z be a(0). Solve 3*t + z = -3*w, -2*t - 3 - 5 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32 - 15 + 31)*(-2*x + 4*x + 3*x) + 2*x + 2*x - 2*x - x + x + 2*x + (x - 3*x + x)*(-2 + 1 - 1).\nAnswer: 246*x","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1978860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1*-112\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*x - 22*x + 8 + 4 = 0 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of -5*m**4\/12 - 7*m**3\/6 + m**2. Let b = -45 + 36. Is a(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24421 + 93068. What are the prime factors of u?\nAnswer: 19, 3613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 54.1 from 0.34.\nAnswer: -53.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2322?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {o: 3, a: 3, t: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108531.\nAnswer: 3, 31, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - (0 + 5)*-1. Differentiate -875*c - 3*c**l + 869*c - 11 - 21 with respect to c.\nAnswer: -12*c**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 6*b + 4*b + 0*b + 24*b.\nAnswer: 22*b - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/4)\/((n\/n**(-6\/5))\/n))**(-4\/7) assuming n is positive.\nAnswer: n**(9\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6052.\nAnswer: 2, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(3\/10)*r)\/((r**(1\/19)\/r)\/r))**(-5\/18) assuming r is positive.\nAnswer: r**(-617\/684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1401 + 1374 - (0 + -73).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3126908*h**2 + 254177*h - 5 wrt h?\nAnswer: -6253816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -18 and -4635883269?\nAnswer: 4635883251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**5\/11 + 48*k**4\/11 + 52*k**3\/11 - 48*k**2\/11 - 50*k\/11 = 0 for k.\nAnswer: -1, 0, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3 - 2 + 2*n**2 - 5*n**3 - 2*n + 5*n**3.\nAnswer: 2*(n - 1)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 836\/(-114)*-5*6\/10\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r - 2. Let l(a) = -a - 2. Let p(y) = 6*j(y) - 5*l(y). Give p(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 * 3.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 2:34 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150718 is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4739313589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1042 - -1038. Which is the smallest value? (a) -5 (b) -2 (c) -0.07 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**3 + 1301068*z**2 + 1301065*z - 2602134 = 0. What is z?\nAnswer: -1301067, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 8*m - 6 + 0*m + 0*m + 2*m + (-2*m + m + 2*m)*(-4 + 1 + 2) - 2 + 2 + 2*m + 10*m + m + 3*m to b*m + l and give b.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1*(-1 + sqrt(3)) + (-3 + (sqrt(3) - (sqrt(3) + sqrt(15)\/sqrt(5))))**2 - (sqrt(24) - (sqrt(72)*-2 - sqrt(72))\/sqrt(3))\/(sqrt(72)\/(-2*sqrt(9))).\nAnswer: 11 + 13*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -4 + sqrt(2299)*-2 + -5.\nAnswer: -22*sqrt(19) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*-3*(-4)\/24*-10. Suppose 0 = -5*k + 20, p*q - k + 6*k = 60. Solve 3*u - x + 4 = 0, -x - q = 2*u + x for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 4*i + 1. Let b be g(3). Let a = 0 + 0. Suppose a = 4*h - 0*h - 32. Solve -h*n = -4*n + b for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 + 33. Suppose d = -q + 9*q - 400. Let t = -23 + q. Is 9 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - ((-5 - -2) + (15 - 18))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76 and 361.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-125)\/140)\/(-5)*-4*6\/(-15)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-6))\/((170\/300)\/(-17)). Solve -z*a + 12 = 3*g, g = -0*a + 4*a + 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of 3*z**2 + 1\/60*z**5 + 0 + 7\/24*z**4 + 0*z + 5\/6*z**3. Let p be (-2 - (0 - 1))\/((-43)\/(-215)). Determine n(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 510?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-14)\/c*c*c**(-16))**(-14\/3))**(-32) assuming c is positive.\nAnswer: c**(-4480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p + 1494 = -970. Is 16 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*1*2\/6. Suppose k - 2 = -d. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 16*h**2 + h + 23. Calculate w(-16).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 11:22 PM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52292 is divided by 241.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -64747 and -323738\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51 + 94. Let f = r - 43.1. Let t = 1.034 - 0.534. What is the closest to f in t, 5\/3, -3\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 38864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*t = 64*t - 1584. Calculate the highest common divisor of t and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -2.2. Let k = -9 + 8. Let i = -0.7 + 3.7. What is the nearest to k in i, z, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41992.\nAnswer: 2, 29, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -36+-0.54\nAnswer: -36.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.21693 millennia in years?\nAnswer: 19216.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -27*o**3 - 3*o**2 + 63*o + 9. Let s(f) = f**3 - f**2 + 3. Let q(k) = -5*l(k) + 15*s(k). Find the second derivative of q(d) wrt d.\nAnswer: 900*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13846\/5889 or -3?\nAnswer: -13846\/5889","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - 0) + (-49 - -49) + 36.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**2 + 2*u**2 + 2*u**2)*((-1 - 1 + 0)*(1 - 1 - 1) - 4 + 1 - 3)*(-2 - 2*u**2 + 2).\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-19 - 2040\/(-108))*9\/2. Which is the nearest to t? (a) -4 (b) -7 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -467567, -1870324, -4208263, -7481384, -11689687, -16833172, -22911839?\n\"Answer: -467591*k**2 + 16*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r**4 - 2*r**2 + 194 - 10*r**4 + 2*r**3 - 195 to u*r + f + w*r**3 + c*r**4 + b*r**2 and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 h when four letters picked without replacement from {a: 1, v: 6, b: 2, h: 4}?\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10.8 + 11.1. Let h = 13 - 11.9. Let q = -1.2 + h. What is the third smallest value in c, -4, q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-975)\/1375)\/1 - (-5)\/(-25).\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -42 + 11 + 11 - 6*h + 7. Let r(z) = -4*z - 9. Determine 5*a(b) - 7*r(b).\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r - 2*r + 4*r - 1 + 1 + 2*r + (-2 - 3 + 4)*(0*r - r + 0*r) + r + r + r + (-4 + 2 + 0)*(r + 3*r - 2*r) + 0 - r + 0 in the form h*r + c and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 64 and -36.\nAnswer: -2304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*x**2 + x**2 - 1 - 10*x**2 to the form g + h*x**2 + j*x and give h.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5 + ((sqrt(1539) + -2)*4 - sqrt(1539))).\nAnswer: -135*sqrt(19) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2867237201 + 0.28673. What is w rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -4. Let h(w) = -3*w + 32. Let p(c) = -h(c) + t(c). Give p(13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 y when two letters picked without replacement from gggggggygggygggggggg.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by 58.\nAnswer: 5\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6 - 3 - 4) + 0 + 4. Determine q, given that 5*q + 53*q**3 - 56*q**g + q + 3*q**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14a0 + 60?\nAnswer: 1530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 73.92 - 88.92. Sort 4, -0.2, m, 2\/7, -5 in increasing order.\nAnswer: m, -5, -0.2, 2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-27)\/((-729)\/855)*18\/5. Which is smaller: 343\/3 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**5\/6 + 3143*g**4\/3 + 256927*g**3\/3 - 3084182*g**2\/3 + 7485611*g\/2 - 4373115 = 0 for g.\nAnswer: -6203, -94, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4019*w. Let q(g) = -538*g. Give q(u(j)).\nAnswer: 2162222*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6183150218 - -4?\nAnswer: -6183150214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.0041 rounded to two decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 5 = -7*g. Let w(a) = -a**3 - a**2 - 1. Let x(v) = -8*v**2 + 5*v + 1. Let n(b) = g*w(b) - x(b). Is 2 a factor of n(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuencvh. What is prob of picking 1 n, 1 c, and 1 u?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, d: 2}. Give prob of sequence jjj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -326 - -350. What is the remainder when o is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.7 - 3. Let p = q - 0.7. Let f be (30\/(-270))\/(3\/(-2) + 1). Which is smaller: f or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2624 by 64.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4000778 to the power of 1\/2, to the nearest integer?\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9108364561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 4*u + 3. Let v be p(3). Let r = v - 3. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34866*p**4 + 2*p**3 + 117*p**2 + 2*p + 14.\nAnswer: 836784*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28839 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/49*-7*2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 2*h**2 - h - 2. Let t be c(-2). Which is bigger: -2\/11 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaan when four letters picked without replacement from aannaanaannaaa?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.075 + -0.1. Let c = -87.975 + x. Let b = -88.000073 - c. Round b to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 1 - 0)*(-6)\/18?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28396 is divided by 64.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**5 + g**5 - g**5 + (-14 - 17 + 6)*(3*g**2 - 2*g**4 - 3*g**2)*(22*g - 1 + 1).\nAnswer: 1098*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i - 24. Let o be l(-23). Suppose g + 4*m - o = 6, 4*m - 100 = -3*g. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 9*w - 27. Let o = -12 - -24. Let q be k(o). What is the tens digit of (-3*(-58)\/18 - -3)*q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 2 - (1 + (4 - 0))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 5*s = -5, 16*q - 24*q + 9 = -9*q - 3*s for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -3\/7, -1\/30, -0.4 in decreasing order.\nAnswer: 2, -1\/30, -0.4, -3\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d + 4, -u - 5*d = 3*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, r: 1, u: 2, y: 3, k: 1, z: 1}. What is prob of picking 1 y, 2 q, and 1 k?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*v - 312 = 189*v for v.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 15 = u - 6, 3*u = b + 12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 15 - (2 + 4 + -1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -944 + 476 + 2*o + 541 + (8 - 16 - 11)*(-2*o + 6*o + 0*o) + 0 + 0 - 2*o as x*o + t and give t.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43643.\nAnswer: 19, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*u - 2914, -2*u - w - 3*w - 1936 = 0. Is 6 a factor of ((-4)\/(-8))\/((-3)\/u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1838*u**3 - 173165 + 173165 + 1507*u**2 wrt u?\nAnswer: 11028","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1439, 1437, 1435, 1433, 1431, 1429?\n\"Answer: -2*u + 1441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from amaamhaammmimmgmig. Give prob of picking 1 g, 1 h, and 1 m.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2735059 is divided by 884?\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22077 and 165.\nAnswer: 110385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q + 21*q + 53*q.\nAnswer: 81*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -368, -183, 632, 2083, 4176, 6917, 10312?\n\"Answer: z**3 + 309*z**2 - 749*z + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49021 and 49484092?\nAnswer: 1043","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 238920 and 32208?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 18*i**2 - 22*i + 60. Let p be q(19). Factor 9*t**5 - 4*t**5 - 2*t**5 - 66*t**2 + 24*t - 24*t**4 + 63*t**p.\nAnswer: 3*t*(t - 4)*(t - 2)*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2104 + 2110. Solve -r*g + 22 = -17*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 104\/28 + 6\/21. Solve -n*i = -5*u - 2, 3*u + 9 = -2*i - 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -179449660406 + 0?\nAnswer: -179449660406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -6*b - 1. Let q be x(1). Let w = q + 11. Let a = -8 + w. Put 2, a, 1 in decreasing order.\nAnswer: 2, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -18. Let y = u - -14. Sort y, -4, 4 in descending order.\nAnswer: y, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-2 - -7) - 2 - -7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p + 12. Let t be y(-9). Suppose 3*h + 7 = -t*l + l, 33 = 2*l - 5*h. Solve 0 = -3*d + 8 + l for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 + 66. Calculate the greatest common divisor of 132 and c.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1101 - -1108. Let z(x) = -x + 20. Let n(a) = a - 19. Let i(u) = -7*n(u) - 6*z(u). Calculate the remainder when i(0) is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 776151413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31242 + 32435. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59106 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 49*c**3 + 10*c**2 - 47*c**3 - 2 + 1 - c - 24*c - 7*c**2 as s + q*c**2 + m*c**3 + o*c and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 982 is divided by 478.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(3\/11)*z**(-1\/3))\/((z**(-1)\/z*z)\/z**(-2\/13)))**28 assuming z is positive.\nAnswer: z**(14896\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -296004 divided by 3.\nAnswer: -98668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + 50. Suppose -38 = -3*i - b, -4*i + 5*b + u - 5 = 0. Calculate the remainder when 3*(2 - 76\/(-3) - 2) is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42316822.\nAnswer: 2, 743, 28477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**(-1)*l))\/(l*l**11))**(-29) assuming l is positive.\nAnswer: l**319","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6*m + 2*m + 2*m)*(1 + 2 - 7) + 4*m - m + m)*(-2*m**3 + 4*m**3 - 4*m**3).\nAnswer: -24*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44\/8 + -4)\/(243\/18 + -5).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -8, 3, -6 in descending order.\nAnswer: 5, 3, -2, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 59 and 408103?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179 = 5*l - 4*c, -152 = -4*l + 3*c - 2*c. Suppose d = -4*a - 42, d = -3*a + 2*a - l. Let q = 81 - d. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -942.4309 - 12477\nAnswer: -13419.4309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1548 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -303 - -303.5. Which is the second biggest value? (a) 0 (b) 5\/2 (c) -4 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*p = -150*p + 212 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p**2\/4 - 1172*p + 2343 = 0. What is p?\nAnswer: 2, 4686","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 4*v. Let x be l(-5). Let h(a) be the first derivative of a**4\/4 + 7*a**3\/3 + 2*a**2 - 11*a + 667. Let n be h(x). Round n to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 32 = -0*x. Let l(r) = r**2 - 8*r - 6. What is the remainder when l(10) is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, l: 8, m: 7}. What is prob of picking 1 l and 2 m?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -432 - 17*h**3 - 430 + 1284 - 422.\nAnswer: -17*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2860 + -20?\nAnswer: -2880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -3*r + 89, 2*m + 2*m = 2*r + 186. Calculate the remainder when -29*(1 - 4) - (1 + 0) is divided by m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1091053 - 148.9?\nAnswer: -148.7908947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2141355 or -2141274?\nAnswer: -2141274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) - ((sqrt(147) - (sqrt(147) + -1)) + sqrt(147)) - sqrt(147) - sqrt(147))**2*3 - (0 + 5*sqrt(3)*1) - ((6*-1*sqrt(300)*-4)**2 + 1).\nAnswer: -171034 + 79*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5239804353 to the power of 1\/4, to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 824*y - 87. Let w be q(8). Suppose -2*d = o - w, 5*o = 6*d - 5*d - 3225. Round d to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6*(-6)\/126)\/(10\/14)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1684987?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a hour in seconds?\nAnswer: 4950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88615, 354656, 798127, 1419034, 2217383, 3193180?\nAnswer: 4346431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1889567326 to the power of 1\/2, to the nearest integer?\nAnswer: 43469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lzq when three letters picked without replacement from uqzlw.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m + 1. Let b be (16\/(-8) + 6)\/4. Let c(g) = 3*g**2 - 7*g - 6. What is b*c(f) + 6*j(f)?\nAnswer: 3*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/3))**45*((w\/w**0)\/w)**(1\/14))\/((w**0)**9*(w\/w**(2\/3))**(-13)) assuming w is positive.\nAnswer: w**(103\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 80\/50 - 4\/(-10). Solve 0*f + 10 = i*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, g: 3, i: 4, j: 1}. What is prob of picking 1 i, 1 j, and 2 g?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is -355654.012 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00035486 to six decimal places.\nAnswer: 0.000355","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 127*g**3 - 29*g**2 + 13*g - 21. Let b(n) = -85*n**3 + 19*n**2 - 9*n + 14. Let f(v) = -8*b(v) - 5*w(v). Is f(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -5*i + 17. Let z(l) = -14*l + 50. What is 8*m(q) - 3*z(q)?\nAnswer: 2*q - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h - 4*m, 3*h = -2*m + 3*m - 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 8:48 PM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 1683*q + 3. Let i be a(4). Let w = i - 107699\/16. Let k = 47\/3 - -23\/6. Find the common denominator of w and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (-77 + 83)) + 37\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -232 - -2554\/11. Suppose -13 = 5*t + 7. Let w be 12\/(-9)*((-1)\/6)\/((-5)\/(-9)). Sort t, 2, w, i in decreasing order.\nAnswer: 2, w, i, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2713 is divided by 44?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2214741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s**5\/5 - 172*s**4\/5 - 11232*s**3\/5 - 32112*s**2\/5 + 1721088*s\/5 - 6552576\/5 = 0. What is s?\nAnswer: -24, 6, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/(-7) + 16\/(-56). Let m(r) = -y + 0*r + 3 + 0*r - r**2. What is m(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -16. Is 206\/6 + h\/15 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 4*t**2 - 172*t - 3 + 116*t in the form l + m*t + v*t**2 and give m.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of -q**3\/6 + q**2. Let h(m) = 2*m**2 + 3*m + 2. Let k(x) = h(x) - 5*o(x). Is k(4) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -95880*l**3 + 752*l**2 + 752*l + 752. Let u(x) = 382*x**3 - 3*x**2 - 3*x - 3. Determine 3*s(a) + 752*u(a).\nAnswer: -376*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*u**2 - 22*u + 2 + 11*u + 11*u in the form p*u**2 + b + y*u and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 7:13 AM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of s**2 - 5*s - 1. What is the remainder when 2\/(-7) + (-102)\/(-14) is divided by u(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lww when three letters picked without replacement from {p: 2, z: 1, j: 1, l: 1, h: 1, w: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/(-90))\/(3\/(-6)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -2185, 1, 0.4?\nAnswer: -2185","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.01323, -0.2, -0.19 in descending order.\nAnswer: 0.01323, -0.19, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q + 8. Let w(s) = 2*s - 16. Suppose 18 = -3*g - 0. Let k(a) = g*w(a) - 11*t(a). What are the prime factors of k(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 1 = z. Let x be 2 + 4 - 3 - z. Let a(d) = 8*d**2 - 1. Is a(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 227.403.\nAnswer: -1137.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (6287 - 14718 + 1443)*(5*l - 2*l - 5*l)*(3*l + 2*l**3 - 3*l) in the form i*l**4 + k + v*l + j*l**2 + d*l**3 and give i.\nAnswer: 27952","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 41505013 (base 8) in base 10?\nAnswer: 8817163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35 (base 9) to base 2.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q - 871. Let o(c) = -141*c**2 + 4*c. Give k(o(l)).\nAnswer: -141*l**2 + 4*l - 871","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/4686 and -37\/3612054?\nAnswer: 39732594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*7\/(-28)*4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001198065 to seven dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 35 = 3*l + 178, -3*q - 2*l = -208. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -173\/756 and 69\/634592.\nAnswer: 17133984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-1))\/((-196)\/3038).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 527 and 544.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/100 and 77\/398.\nAnswer: 19900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1993 + -23857\/12. Let q = -122573\/126560 + -1\/3955. What is the common denominator of q and g?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -105080 and -4.3?\nAnswer: 451844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -8.996468966642\nAnswer: -4.996468966642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -9\/5, -4\/9, 2, 68, -3?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 545649512?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ykjoyozb. What is prob of picking 1 k and 1 z?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20213132031 + 1000?\nAnswer: -20213131031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 14, 3, 88653?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**2 + 8*a - 4*a - 4*a.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0881507 kilograms to nanograms.\nAnswer: 88150700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 5 + 71. Let j = u + 27. Calculate the remainder when (2 + -6)\/(4\/(-14)) is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*(sqrt(112) - sqrt(112)*2))**2.\nAnswer: 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1839\/20 + 92. Let q = -98613 + 98610. What is the second biggest value in d, q, 0.5, -2\/9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1770\/4 - ((-6)\/(-2))\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 12370*w + 5122682. What is f(-429)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/18*(-6)\/2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -718 (base 9) to base 15\nAnswer: -28e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 122 + 3?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 11854006 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + o - o)*(-4 + 3 + 4)*((4 - 3 - 3)*(-2 + 4 - 5) + 7 - 3 - 1).\nAnswer: -54*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 339 + 327 - 667. Let s(j) = -j + 2. Let w be -1*(1 - 2)*-4. Calculate w*t(u) - 3*s(u).\nAnswer: 3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2941 - -538201\/183. Is 0 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4*1\/(-6))\/(12\/(-45))\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1718 rounded to 2 decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + -1*sqrt(76))*5 - -2*(sqrt(76) + sqrt(76)*-1 + sqrt(76)))\/(-4*sqrt(40)\/sqrt(40))*6.\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w - 12*w - 5*w)*(-w**3 + 4*w**3 - w**3) + 3*w + 2*w**4 - 3*w - w**4 - 9*w**4 + 0*w**4 + 2*w**4 - 3 + 3.\nAnswer: -48*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -8*p**2 - 5960*p - 17868. What is k(-3)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 261575*r + 6277800. Give s(-24).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z + o - 10, 4186*o - 4183*o - 38 = 5*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (sqrt(6)\/sqrt(75) - sqrt(2) - sqrt(2))**2 - (sqrt(32)*6)**2) + sqrt(14)\/(1*-4*sqrt(7)).\nAnswer: -28962\/25 + 3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 30476411 to the power of 1\/3, to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 676991?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of g**10\/15120 - g**9\/7560 - g**8\/1680 + 4*g**4\/3 + 28*g**2. Let n(u) be the second derivative of r(u). Factor n(x).\nAnswer: 2*x**3*(x - 2)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 145?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -19*p - 39. Let z(s) = -10*s - 19. Let q(y) = 2*d(y) - 5*z(y). Let l(v) = -4*v - 6. Let a = 1641987 - 1641981. Calculate a*q(m) + 17*l(m).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, v: 5, h: 5, m: 4}. Give prob of picking 1 m, 2 h, and 1 n.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -149*p + 3577. Let z be w(24). Which is the smallest value? (a) 4 (b) -0.05 (c) 3 (d) z (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 100, -27, -154, -281, -408?\n\"Answer: -127*z + 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -6562, 4\/9 in ascending order.\nAnswer: -6562, -2, 4\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -4 + 0*u**2 + 11*u**2 + 1 - u**3 + u. Let i be o(11). Solve -g + i = g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10.22 + -10.7. Let b = 0.78 + f. What is the second smallest value in -4, b, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1206256330 is divided by 101?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009539 rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202 - 10010?\nAnswer: -2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -0.02507226?\nAnswer: -0.02507226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -39, -84, -153, -252, -387, -564?\nAnswer: -789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = q - 2*w - 428, q - 4*w - 424 = 0. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 12) to base 4\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*b + 89*b = 2*z + 4, -3*b + 5*z + 14 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2409184 and 92746.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(175)*-1 - sqrt(175))**2 + (sqrt(175) - (sqrt(175) - (sqrt(175) + -2 + 2) - sqrt(175))) + -3 + sqrt(175)*4 + sqrt(175) + 4.\nAnswer: 35*sqrt(7) + 2801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 5 (b) 0.264 (c) -0.4 (d) -2 (e) 0.05 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**1*t))**7\/(t**(-9)*(t*t**(2\/7)\/t*t)\/t) assuming t is positive.\nAnswer: t**(-37\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7595 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -6*j - 200. Let b be y(-34). Solve n = -b*v + 8, -5 - 7 = -3*n for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in 2\/5, -0.38, -2, -2\/21, 615?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 0 - 2)*(-11*h + 26 - 26)*(6*h**3 - 8 + 2*h**3 - 6*h**3).\nAnswer: -220*h**4 + 880*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m\/m**(-3\/10))\/m*m**(1\/20))\/(m**(-2\/17))**(-1\/39) assuming m is positive.\nAnswer: m**(17861\/13260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -4, 1, 293, -5 in decreasing order.\nAnswer: 293, 1, -4, -5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 857704*c - 855762*c = 60202 for c.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 2*n + 16. Let a = -18 - n. Solve 2*k + a = -3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 4) + (-3 - (-7 + -2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1809?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001141 to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-2))\/(2\/(-16)). Solve 0 = -0*f - 5*f - 3*n - 22, -4*f + l*n = -8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11288 rounded to two dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-6*(-3)\/(-12)). Let k(c) = 7*c**3 - 3*c**2 + c. Let y be k(q). Let n = 62 - y. Is 16 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.7 + 0.02903.\nAnswer: 3.72903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 636257719?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 77*r + 8 = -82*r, -3*r = -5*h + 8 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23\/30 or -1?\nAnswer: -23\/30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -5910 and -5913 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 13) + -1 + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6665*x**4 + 32*x - 28*x**3 - 562 - 6*x**2 + 29*x**3 + 6*x**2 - 30*x wrt x.\nAnswer: -79980*x**2 + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 66 + -66. Solve -j + p + 4*p = -5, c = 4*j + p - 20 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3132432ml to litres.\nAnswer: 0.0003132432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -17*s**3 - 99*s**2 + 214*s - 3. Calculate j(2).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.4, 32, -3, 278, -0.3, -2?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 220 - 225. What is the second smallest value in -4\/7, j, 0?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - (-3)\/(-2)) + (-9)\/6. Find the common denominator of 69\/10 and (d\/1)\/((-140)\/(-54) - 3).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 550.7399 * -0.1\nAnswer: -55.07399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1506\/18 + 2\/6. Let t = w - 44. Suppose 4*i = -t + 476. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -3*x - 14. Let n(l) = 5*l - 16. Let t be n(12). Let w be 652\/t - 4\/(-22). Solve x*g + w = -0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 764 - 872 = -2*r. Let d = -35 - -71. Calculate the greatest common divisor of d and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 390\/(0 + -10)*((-3765)\/105 - -36)\nAnswer: -39\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 3:24 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 686*z + 694*z + 686*z - 2*z**2 + 692*z + 78 + 7*z**3 - 2755*z as i*z**3 + h + t*z + p*z**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 2:10 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**2 + 5*a + 335. Let w(o) = -2. Determine 9*w(x) + z(x).\nAnswer: 2*x**2 + 5*x + 317","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.222823 rounded to one dp?\nAnswer: 6.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3329268379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 478b (base 14) to base 6.\nAnswer: 133423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 406 and 1792?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-299)\/(1596660\/74938) - 3\/10\nAnswer: -43\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2018 + 2017. Sort q, 209, -3.\nAnswer: -3, q, 209","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 18985446 to the power of 1\/4, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + h - 2*h)*(-9*h - 57 + 48 + 0*h).\nAnswer: 18*h**2 + 18*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 827*d*k**3*m - d*k**3 + 20*d*k with respect to m.\nAnswer: 827*d*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.279224 micrometers?\nAnswer: 0.000000279224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 10) in base 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4804 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 + 15. Let r = 1 - g. Solve r*j = -0*j + 5*n - 3, -3*n = -3*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -13, 20, -5, 3 in decreasing order.\nAnswer: 20, 3, 2, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -10*t**2 + 7*t - 7*t. Let y(h) be the first derivative of 0*h**2 + 4\/3*h**3 + 20 + 0*h. Give y(k(i)).\nAnswer: 400*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24990 and 9639?\nAnswer: 674730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -6*u**2 - 7*u. Let q(t) = -4*t**2 - 5*t. Let z(l) = -7*q(l) + 5*s(l). Let m(o) = -o**2. Let g(w) = -w**2. Let c(a) = -7*g(a) + 5*m(a). Give c(z(b)).\nAnswer: 8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.14 in -5, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.24 - -9.76. Let z = u + -11. Suppose -l - 3*o - 12 = 0, 0*o - 4 = -l + o. Which is the closest to l? (a) z (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1731 and 9.\nAnswer: 5193","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*12\/160*-2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.5 - -4.5. Let l = -8.9 + 15.9. Which is the nearest to 2\/5? (a) s (b) l (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 8*b**2 + 2844*b + 19848. Give d(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 2:45 AM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10460 + 10515. Suppose 0*g - g + 77 = 0. What is the highest common divisor of i and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 0\/(-20) + (-622)\/(-96) + 8\/(-12) and -69\/6466.\nAnswer: 51728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 102?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4072442 divided by -2\nAnswer: 2036221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -16 - ((9 - -11) + -5 + 5 + -20).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -1. Let o be 28\/(-6)*(-28 + (-570)\/(-21)). Let u(b) = b - 2. Let y(g) = -3*g + 6. Let l(w) = -11*u(w) - 4*y(w). Determine o*z(i) - l(i).\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eett when four letters picked without replacement from tceeatceaeeetwaace?\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 5 - 11 + 1284*a**3 + 1236*a**3 - 3 - 2593*a**3.\nAnswer: -73*a**3 - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-1\/17))\/k**(-3\/7))\/((k\/(k**(-4\/15)\/k)*k)\/(k\/k**(4\/5))) assuming k is positive.\nAnswer: k**(-3029\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 14031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of v**3 - 37*v**2\/2 + 1616. Let s(h) = -5*h. What is s(l(g))?\nAnswer: -15*g**2 + 185*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -24 - 5*c + 4*c - 17*c. Let a(r) = -r**2 + 74*r - 858. Let n be a(14). List the prime factors of l(n).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-9)\/18*-5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 2, -5*t - 2*q + 2 = -4. Suppose t = -p, -5*s + 4 = -s - 4*p. Suppose 3 = 8*o - 29. Put -4, s, o in decreasing order.\nAnswer: o, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35364 and 72684?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*k**2 - k**2 + 7*k**2)*(4*k**2 + k**2 - 3*k**2) + k**4 + 2*k**4 - 2*k**4 to l*k + h*k**3 + b + t*k**4 + y*k**2 and give t.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/12 + -1*20\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0496 to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 6:37 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a hour in minutes?\nAnswer: 870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 36\/5*l - 4\/5*l**3 - 36\/5*l**2 + 324\/5 = 0. What is l?\nAnswer: -9, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 - (-1 + 2)\/(-1) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1666 is divided by 39?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 7. Suppose -3*o - z*j + 233 = 0, -j = 2*o + 3*o - 394. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a millimeter in micrometers?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 172*c + 2052. Let o be w(-7). Suppose 3*h = -3*q + 5133, h + 2 = -0*h. Let u = q - o. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32367102 is divided by 116.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -41*y**5\/20 + y**4\/12 + 11*y**3\/6 + 18*y. Find the third derivative of q(x) wrt x.\nAnswer: -246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25 + -21)*35\/10.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 10:46 PM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**0*o)\/o**(2\/5))**(-47) assuming o is positive.\nAnswer: o**(-376\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3410 + -987. Is 115 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 134 (base 7) to base 8\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 572*b - 375. Let w be k(2). Is -0.2 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 12*z - 3. Let a be g(10). Calculate the highest common divisor of 39 and a.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-4 - 247\/(-76))\/((-7)\/97160)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(720) - sqrt(720))*-5 - (sqrt(720) + (2*sqrt(720) - sqrt(720)))*-3.\nAnswer: 252*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*o**2 - 24306*o + 9720.\nAnswer: 3*(o - 1620)*(5*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -144725*j - 8991307?\nAnswer: -144725","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + x + 2*a = 149, 4*a + 263 = 5*x. Let i be -3 + x\/9 + -3. Let j(m) = m**2 + 9*m + 4. Let t be j(-8). What is the third smallest value in i, 3\/2, t?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*o - 3*o - 56. What is the remainder when 61 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/200)\/(12\/16)*65*-1?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/(4\/120) + 1?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(0\/(-1) + 1). Let r be 1 + -1 + 4 + t. Solve 0 = r*n - 0*n + 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = z - 0*z + 4*j, j - 13 = z. Let g = -13 - z. Suppose 2*v + 21 = p, -g*p + 4*v + 86 = -19. Does 8 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29 and 193082.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -399.2 - -396. Which is bigger: t or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260\/(-30)*3\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 22*n**2 - 7*n - 9. What are the prime factors of x(-2)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 9, 19, -5, -12 in decreasing order.\nAnswer: 19, 9, 5, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - k - 23, k + 2 = -3. Suppose 0*o - 3*o + u = 0. Suppose o*c = -c + 204. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 8 - -2 - (1 - -3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -378378 to the nearest ten thousand.\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**12\/i**5 assuming i is positive.\nAnswer: i**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 37142, 148795, 334884, 595409, 930370, 1339767, 1823600?\n\"Answer: 37218*w**2 - w - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-195)\/130)\/(-2*2\/8)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 135\/(-429) + 56\/((-87360)\/360).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -c**3\/3 + c**2\/2 + c. Suppose 0 = -4*y - 3*o - 20, -3*y - 10 = o - 0*o. Calculate the remainder when t(y) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**(-1\/3)\/f)**40)**(-1\/53)\/(((f\/((f*f**(1\/4))\/f))\/f*f\/f**3)\/(f*f**(-1\/4))**(-42)) assuming f is positive.\nAnswer: f**(-18923\/636)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 7:04 PM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -6 (b) 0.5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 9) to base 4.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001109 to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 270 divided by -4999.\nAnswer: -270\/4999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 5:06 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-16 + 24 - 1) + 2 + 1\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + f - 5. Let a = -134 - -134. What is q(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 9:25 PM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 1 (b) 0 (c) -0.4 (d) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/3 - 387344*b\/3 + 18754421792\/3.\nAnswer: 2*(b - 96836)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 3*i + 880. Let f(d) = -2*d**2 - 26*d + 17. Let r be f(-12). Suppose -r = y - i. Does 27 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 58*i = -57*i - 17, s - 4*i = 7 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5*b = -12, d + 4*b = -b + 3. Suppose -2*h - z + 4 = 0, 1 = -d*z - 5. Solve -h*f = -f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**2\/9 + 20*a + 900 = 0?\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 - -8 - -3*20\/(-12). Suppose -j*w + 140 = -31. Solve w*r - 20 = 24*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 - 2)*(-y - 5 + 5) + (3*y + y - 2*y)*(3 + 1 - 1) to r + m*y and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = -2*z + 79. Let o(p) = p**3 - 15*p**2 - 8*p + 14. List the prime factors of o(z).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of s**7\/420 + s**6\/60 + s**5\/20 + s**4\/12 + s**3\/6 + s. Let f(w) be the second derivative of m(w). Factor f(o).\nAnswer: 2*(o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12863 - -12864.7. Let c = 6 + -5.6. What is the fourth smallest value in x, -1\/5, 1\/2, c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*b**2 + b**2 + 22*b**5 - 20*b**5 - 26*b**4 - 3*b**2 wrt b?\nAnswer: 120*b**2 - 624*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-664)\/16 - 0)*-4. Differentiate 2*v**2 + 16*v + w - 155 + 70 wrt v.\nAnswer: 4*v + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -271 (base 10) to base 9.\nAnswer: -331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(832) + 1))**2 + 4 + 1*sqrt(832) + -5*(6*(-1 + sqrt(637)) + sqrt(637) + sqrt(637))**2*-4.\nAnswer: -13176*sqrt(13) + 829412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*l = -8, 3*k = 2*l - 12 + 36. Suppose -k = -2*p + 8. Which is the third biggest value? (a) p (b) 2\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbnnb. Give prob of sequence bn.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 4*b + 4. Let q(t) = -t**3 - 8*t**2 - 9*t - 1. Calculate the remainder when k(7) is divided by q(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -7 (b) -3\/5 (c) -69 (d) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -t + o + 5, 2*o + 2 = 0. Suppose 0 = -3*f - t*f + 10. Let a(h) = -3*h**2 + 2*h - 2. What is a(f)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4462584 less than 0.8657338?\nAnswer: 1.3119922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 8) to base 2.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 9*g**2 - 7*g + 11. Let x be t(-8). Suppose 0 = 6*c - x*c - 21. Suppose 0 = c*w - 2*w - 75. Calculate the remainder when w is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = -j + 4*m - 30, -5*j = 4*m + 183. Let s = j - -74. Does 7 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -280 - 148*n**2 + 142 - 5*n + 138 + 76*n**4 + 80*n**3 - 3*n.\nAnswer: 4*n*(n - 1)*(n + 2)*(19*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*t**5 + 59*t**4 - 204*t**3 + 2*t - 27880?\nAnswer: 40*t**3 + 708*t**2 - 1224*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 130134131 (base 5) to base 13\nAnswer: 191002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 5*j + 150. Let d be s(-20). Suppose 1 + d = -17*l. Sort -2, l, -48 in decreasing order.\nAnswer: -2, l, -48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from itixdtidkqdidtk. Give prob of picking 3 d.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2184977731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 2476 divide 2031777583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1007937*g + 1007972*g + 910 = 0 for g.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1298 - -8861. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -16, -53, -114, -199, -308, -441?\n\"Answer: -12*n**2 - n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -149 - 1095.\nAnswer: -1244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 62*m + 1035. Calculate t(76).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7116 - 4895. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by -2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.083 - -0.043. Let n = v - -0.040049. Round n to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n**2 + 6*n**2 - 11*n**2 + 5*n**2 - 2*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -520, -517, -512, -505, -496, -485?\n\"Answer: v**2 - 521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -1380, 2\/73, -8?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/5*(-5 - 0). Suppose 0 = -s + j*s. Is s - (-3 - 0) - -112 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 570564 is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 588 and 126.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence feff when four letters picked without replacement from {f: 9, e: 2}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1927201 < -1927204?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1484438 divided by 2\nAnswer: 742219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -96. Suppose 4 = -4*y + 8. Let p be (y*-6)\/((-21)\/28). Calculate the greatest common divisor of j and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1008874?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/3 - 200612*i\/3 - 200614\/3.\nAnswer: 2*(i - 100307)*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 404421400 + -1?\nAnswer: 404421344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*v**4 - 5*v**4 - 8*v**4 + (3*v**3 - 6*v**3 + v**3)*(0*v - v + 0*v) - 4*v**4 + v**4 + 2*v**4 in the form j + x*v**2 + k*v**4 + c*v + p*v**3 and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5*q + 6654 = 0, -2*p + 3336 = -50*q + 46*q. Calculate the highest common factor of p and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(24\/(-2)))\/((-1)\/15).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -4\/5, 10\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5\/6, -10, -2\/7, -33\/8?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 53\/3 - (-2)\/(-3). Let q(l) = -l**3 + 16*l**2 + 7*l + 36. Let m be q(x). What is the tens digit of (-4 + (-21)\/(-6))*m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 2) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 7*k = -2*k - 41, 0 = -3*z - 3*k - 9. Let c(s) = -32*s**2 + 7*s. Let p(b) = -11*b**2 + 2*b. What is z*p(n) + 2*c(n)?\nAnswer: 13*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 656446.\nAnswer: 2, 7, 46889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 71 * 4664\nAnswer: 331144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.02 + -0.02. Let l = -5.58 - -0.58. Which is the closest to 0? (a) l (b) -1\/7 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43 + 48. Suppose -2*y = 2*y, 10 = -5*l - z*y. Let p = 17 + -17. What is the nearest to p in 5, l, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(65) - sqrt(65)*-1)*-2)\/sqrt(5) + (-4*2*sqrt(13) - (sqrt(13) + sqrt(208) + 0)))**2.\nAnswer: 3757","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**2 - 8*a + 5. Let n be z(4). Suppose 5*h - 3150 - 785 = -4*y, 2*y = n*h - 3965. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -3. Suppose p = -v*p + 92. Is (1 - (-6)\/(-3)) + p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 577.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -224*v**5\/5 + 4*v**3\/3 + 5*v**2\/2 + 265. What is the third derivative of w(n) wrt n?\nAnswer: -5376*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*o = -121*o - 14. Solve 2*h + 4*q - 18 = 0, 0 = -o*h - 2*q + 13 - 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, q: 2, w: 1, h: 1}. What is prob of sequence nh?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-64)\/(-800)*20*30\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5*w - 410 = -3*u, -430 = -4*u + 5*w. Suppose 109*x - u*x = 156. What is the smallest common multiple of x and 24?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 129 - 134. Let r = 48 - 51. Let i = -0.9 - -11.9. Which is the third biggest value? (a) i (b) r (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-221450)\/(-4429) + (-15)\/3.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92947397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3122783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/(-18)*86994\/(-3759).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1545 + 4726 - 1393)*(-p - 4 + 4) in the form i*p + b and give i.\nAnswer: -4878","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -36*l**2 - 52*l - 103. Calculate j(-2).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6 - 33)\/((-3)\/2). Calculate the greatest common divisor of s and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(5*sqrt(1900)*2 + sqrt(1900)*-2*3 + sqrt(1900)) - ((sqrt(76)*-1*-2)\/sqrt(4) + sqrt(1900) + -2*sqrt(1900) + 0))*-1)**2.\nAnswer: 33516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -476*b + 64 = -484*b for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 7254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 12:34 AM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191*j**5\/11 + 87*j**4 - 385046*j**3\/11 - 1163020*j**2\/11 - 785304*j\/11 - 736 = 0. Calculate j.\nAnswer: -46, -2, -1, -2\/191, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 4*f + 4 = -4, 0 = -3*b - 4*f + 27. Let y be ((-3)\/2 + 2)*0. Let x(t) = -t**3 + t**2 + 2*t - 1. Let z be x(1). Sort b, y, z.\nAnswer: y, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3044 is divided by 89?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/81739, -278, 1\/3 in decreasing order.\nAnswer: 1\/3, 2\/81739, -278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.7535 rounded to two dps?\nAnswer: 10.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, i: 3, w: 4, b: 7, l: 1}. What is prob of picking 1 j, 2 w, and 1 l?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*l - 86*l - 8 - 86*l - 75*l + 311*l.\nAnswer: -47*l - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*r - 4*r - 54. Calculate the greatest common factor of 72 and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**3 - 120*p**2 + 820*p - 1200.\nAnswer: 5*(p - 12)*(p - 10)*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from mstummcccsmtssmc.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n + 39 = 3. Suppose 3*d - 44 + 11 = 0. Suppose -n*i - 306 = -d*i. Does 31 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2052*x - 2054*x + 5*v + 22, 0 = -8*v - 32 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4424, -4405, -4374, -4331, -4276?\nAnswer: -4209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-2)\/(-1))\/(9 - 10904\/1212) and 909.\nAnswer: 1818","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -68? (a) -2 (b) -0.1 (c) -1\/3 (d) 0.622 (e) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23190*w**2 - 53268*w**2 + 25242*w**2)*(5 + 3*w**2 - 5).\nAnswer: -14508*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110110011001 + -110000111?\nAnswer: -10111100100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 3 + 3)*(-20*z**4 + 0 + 0) - z - z**5 + z.\nAnswer: -41*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9 - 0)*17\/((-357)\/14). Let j(r) be the third derivative of 0 + 1\/630*r**7 + 1\/90*r**v + 1\/60*r**5 - 1\/18*r**4 - 2\/9*r**3 - 8*r**2 + 0*r. Factor j(s).\nAnswer: (s - 1)*(s + 1)*(s + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -184125 divided by -5.\nAnswer: 36825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1522*b + 1677 = 1525*b. What is the remainder when b is divided by 112?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/(sqrt(288)*-2) + 4)*4.\nAnswer: -sqrt(7)\/3 + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 588 and 5541.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6422*w**2 - 3436*w**2 - 3032*w**2.\nAnswer: -46*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2549*i**2 + 118*i**2 + 58046*i**2 + 4681*i**2.\nAnswer: 65394*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 25337185397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 6*s + 2*w + 33 = 0, 3*w - 44 = -4*s. Solve -5*j - t = -21, -15*t = -s*t + 16 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 445137?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2b51 + 17?\nAnswer: -2b3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.36467 - 0.13533. What is the nearest to 5\/2 in -19, 2\/13, -2, r?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 169501 * -875\nAnswer: -148313375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s. Let w(d) = d. Calculate g(w(x)).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -6*w**2 + 2*w - 1. Let l be x(1). Which is smaller: 53 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**5\/5 + 13*x**4 - 1078*x**3\/5 + 190*x**2 + 1079*x\/5 - 203 = 0. Calculate x.\nAnswer: -1, 1, 29, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v*v**0)\/v)\/v)\/v**(-24))\/((v*(v\/(v**(1\/3)\/v))\/v)\/(v\/v**(-29))) assuming v is positive.\nAnswer: v**(154\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213.4247 millennia to centuries.\nAnswer: 2134.247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2067 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1239673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23174351 and 562.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47 - -107. Suppose 6*f - 2*f = r. Let m = f + 13. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59173584 to the nearest integer?\nAnswer: 7692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-228)\/(-190) + 111\/(-80) + (-141)\/(-846)?\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 4 + l**4 + 238*l**3 - 236*l**3 + 3*l**2 + 2*l**2 as a*l + v*l**4 + q*l**2 + p + k*l**3 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-2\/11))\/(((w**0\/w)\/w*w)\/w) assuming w is positive.\nAnswer: w**(35\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101010011100000011 (base 2) in base 12?\nAnswer: 298003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 25 and 4636564343.\nAnswer: 4636564368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ej when two letters picked without replacement from {e: 1, j: 7, r: 1}.\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 436604?\nAnswer: 2, 7, 31, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-744)\/(-36))\/(-31) - 173\/(-3). Solve -t*h = -61*h + 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -9*o - 6. Suppose 5*a + 12 = -2*u, -5*a + 4*a - 6 = 4*u. What is the remainder when 58 is divided by z(a)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -13*p + 17*p. Let b(u) = -2*u. What is b(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 306 = -r, -5*m = 2*r - 177 - 450. Sort -5, -1, r, -2.\nAnswer: -5, -2, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 16629509 - 1490491 = 0. What is i rounded to the nearest 100000?\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -90\/11 or -8?\nAnswer: -90\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 112 and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 2. Let z(t) = -t + 7. Let b be z(9). What is the lowest common multiple of b*(n + (-1 - 2)) and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 33548631577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + n - 2*n**2 - 7*n + 6 + 13*n. Calculate b(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - b)*(-17 - 2 - 16) + 0*b + 3*b - b + 5*b - 5*b + b + b + 3 - 3.\nAnswer: 39*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -9*z + 2*z - 6*z - 4. Let q(c) = 3*c + 1. Let o = 5 + -3. Suppose g = -3*k + 18, o*g - 5*g + 24 = -k. Calculate g*q(t) + 2*w(t).\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10.9? (a) 3\/2 (b) -4 (c) -1\/2 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10100.\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 54226719 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + 4*r + 2*r**2)*(-3 + 7 - 2) + 0*r**2 - r**2 + 3*r**2 - r**2 - 3*r**2 + 2*r**2 + 0*r**2 + 2*r**2 + 0*r**2 + (-3*r + 3*r + r)*(0 + 0 - r).\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11.00000054 - -11. What is r rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7a4139 - 5?\nAnswer: -7a4143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 28? (a) 180 (b) 0.2 (c) -14 (d) -2 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 832.2201 rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 5. Let k be (-29)\/174*4\/8*3. Let h = 0.07 - 0.02. Put y, k, h in descending order.\nAnswer: h, k, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59345 - 59344.8. Suppose 7 - 45 = 2*i. Let w = 2 + -5. Which is the biggest value? (a) w (b) i (c) -0.1 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 208*w + 8. Let u(h) = -208*h - 9. Let o(i) = -7*f(i) - 6*u(i). Let k be o(2). Let t = k + 639. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9406*m = 9693*m - 4592 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 63*y - 1033. Let z be r(-14). Solve 22*x - z*x = 115 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -t**5\/20 + 5*t**4\/6 + 2*t**3 + 13*t**2 - 4176*t. Determine v(11).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -7*z - 11 + 3*z - 14*z**2 - z. Let m(x) = 3*x**2 + x + 2. Let f(k) = -11*m(k) - 2*n(k). Find the second derivative of f(p) wrt p.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + u = -3*v + 67, 4*u = -12. Let t(h) be the second derivative of h**4\/12 - 13*h**3\/6 + 8*h**2 + 46*h. What is the tens digit of t(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -369 and -1911613316.\nAnswer: -1911613685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -47, 335, 1019, 2035, 3413, 5183, 7375, 10019?\n\"Answer: 5*f**3 + 121*f**2 - 16*f - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 42 = 3*b, 0 = -3*b + 32*l - 566945 + 566894 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 14*s = 807*s - 15839684. Does 73 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3176*m**3 + 1902*m**3 - 10119*m**3.\nAnswer: -11393*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 + 217*s**2 + 12310*s + 167400.\nAnswer: (s + 20)*(s + 62)*(s + 135)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 20 = a - 5*p, -a = -3*p. Let n = -9165 + 4233923\/462. Let m = -1\/462 + n. Put a, m, 5, 1 in descending order.\nAnswer: 5, a, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 14*m**2 + 12*m + 15. Let c(o) = -o**3 + 10*o**2 - 8*o + 4. Let a be c(9). Calculate the least common multiple of 4 and t(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -490 (b) -1 (c) -2\/13 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/4 - -1)*(-16)\/(-20). Suppose -356 = -f*z - 2*z + 4*w, -w = 3*z - 279. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + 8*g - 10. Let n(r) be the second derivative of r**5\/20 + 5*r**4\/6 + 3*r**2 - 6*r. Let k be n(-10). What is the units digit of h(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42 - 42. Suppose 5 = t + 2*d, 4*t = 8*t - 4*d - 8. Suppose t*j = -a*j + 1659. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 81 - 41. Suppose 3*g + d = -w - 6, -g + 5*d - 26 = 0. Let o be (-4)\/g - (-37)\/(-4). What is o rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of 11 + 0*v**3 + 24*v**2 + 0*v + 19\/2*v**4. What is the second derivative of k(h) wrt h?\nAnswer: 228*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17338 + 253045. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1878732, -3757505, -5636278, -7515051?\nAnswer: -9393824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) + sqrt(243)*1)\/sqrt(9))\/(sqrt(9) - 1*sqrt(81)) + 0.\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 212, -751, -5, -6 in decreasing order.\nAnswer: 212, -1, -5, -6, -751","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 416\/80 + 1\/(-5). Let l be d\/1 - 8184\/1608. Which is greater: 1 or l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 27, 3, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of x**3\/6 + 2*x**2 + 14*x. Let j be c(2). Solve -2*q + j + 2 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -116, -161, -286, -533, -944?\n\"Answer: -7*u**3 + 2*u**2 - 2*u - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from qjqqjaaqj.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3373908 to the nearest integer?\nAnswer: 1837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 440 and 880?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -3) + 1 + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeebf. What is prob of sequence efe?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/sqrt(5) + (sqrt(1100) + 1)**2 + -3)*3 + -3.\nAnswer: 66*sqrt(11) + 3291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38 + 41. Let d be 21 - 0 - r\/(-1 + 4). Calculate the highest common factor of 8 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 9*h + 108 + 165 = 0, -5*t - h = -497. What is the remainder when 548 is divided by t?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i - u - 4, -6*i - 4 = -4*i + u for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n - 4*l + 6, 4*n - 4*l - 9 = -1 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 48888628 to the nearest 10000.\nAnswer: 48890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 + 6 = 6*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2001021012 + -12?\nAnswer: 2001021000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/sqrt(63)*-6.\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k**2 - 1. Let x be v(1). Let d = 21 - 18. Suppose -t + d*p + 9 = 0, -p - x = -0. Solve 5*y + 40 = 4*j, 2*j + 5*y = -7 - t for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*b + 40*b - 228*b - 116*b.\nAnswer: -320*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1101512443 from -814.95.\nAnswer: 1101511628.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 5. Suppose 0 = 3*r - v + 9, 2*r + 5*v = r - 19. Suppose 2*q + 3*x = -6, q - 15 + 4 = 2*x. Which is the third biggest value? (a) q (b) r (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3979500?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 3431?\nAnswer: -3423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ok when two letters picked without replacement from {o: 2, a: 1, l: 1, y: 1, r: 2, k: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 364490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 8:43 AM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n\/(n\/(n\/(n*n**1)))*n)**(-17\/3)\/(((n\/n**(-2\/23))\/n)\/n*n*((n**(-1)\/n)\/n)\/n*n)*((n**0\/n)**(2\/59))**(4\/11) assuming n is positive.\nAnswer: n**(-377621\/44781)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5820456?\nAnswer: 2, 3, 242519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*w - 68*w + 15*w + 13*w + 78*w + 74*w.\nAnswer: 173*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -138 - 14?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - p**2 - p - 1. Let v be z(-1). Let o = 26 + -22. Suppose -4*u + o*c + 20 = 0, 4*u + 5*c = 2*c + 20. Solve v = -8*i + 3*i + u for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 9907.1?\nAnswer: -9908.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1917 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 248291\/80 + -3103. What is the common denominator of -25\/6 and x?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29823?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and 674445.\nAnswer: 674444.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 2*d = 70024, -d + 20204 = 4*q - 49822. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**2 - 2*p + 24. Let k be y(3). Suppose -9*s + 48 - 12 = k. Solve -5*b + 2*o - 35 = -3*o, -22 = 2*b - s*o for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-8 + 11 + -8 - 0)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20\/(-25)*10\/(-4). Let k(b) = 41 - 41 - p*b**2. Let o(l) = l**2. Give o(k(m)).\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 24.2781907 and -7.693.\nAnswer: 16.5851907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 42499*s**2 - 4 + 0.\nAnswer: 42499*s**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, n: 4}. What is prob of picking 3 n?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v + 4. Let y(a) = 11*a + 8. Let u(w) = 10*l(w) - 2*y(w). Let g(d) = d - 1. Give 24*g(n) + u(n).\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**3 - 89*b + 12*b**2 + 3*b**2 - b**3 + 12*b**4 - 15*b**2 wrt b.\nAnswer: 144*b**2 - 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -4*f + 4. Let s(v) = 4 - 4*v - 3 + 4. Let b(k) = k**3 - 10*k**2 + 12*k - 23. Let x be b(9). Let y(l) = x*s(l) - 5*i(l). Let t(q) = 6*q. Give t(y(o)).\nAnswer: 24*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19 and 0.63.\nAnswer: -11.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 7) to base 4\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 667.8508 litres?\nAnswer: 667850.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 8683823?\nAnswer: -1\/8683823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -525908508 to the nearest one million.\nAnswer: -526000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 7:07 AM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 434823 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.28066729 and 1.\nAnswer: -0.28066729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of 0*k - 1\/2*k**2 + 3. Let q(t) = 3*t. What is q(d(a))?\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-35*q + 43*q - 34*q)*(84*q + 1056 - 1056) to s*q + u + p*q**2 and give p.\nAnswer: -2184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 9) to base 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (20222\/(-1))\/(5 - (15 + -8)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vwoovyp. What is prob of sequence vo?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**4 + 0*x**4 + 0*x**4 + (4*x - 2*x - 3*x)*(0*x**2 + 0*x**2 + 2*x**3) + (-6*x**3 - 2*x**3 + 2*x**3)*(39*x - 48*x + 50*x).\nAnswer: -246*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 89*d - 577. What is r(7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 30*n**4 + 3665*n**3 + 76045*n**2 + 61010*n - 456000 = 0.\nAnswer: -96, -25, -19\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -180250, -360501, -540754, -721009, -901266?\nAnswer: -1081525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-7)\/s*s*s**(3\/4)\/s)\/(s*s**3*s)**(6\/17) assuming s is positive.\nAnswer: s**(-613\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*p**2 + p**3 - 20*p**2 + 6*p**2 + 2*p**2 as v*p + d + s*p**2 + c*p**3 and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10200, -10196, -10192?\n\"Answer: 4*j - 10204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 1225*y - 42571. What is o(35)?\nAnswer: 304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 144 = 13*j. Calculate the lowest common multiple of j and 38.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637)*-1 + -3 - (sqrt(351)*5 + sqrt(351))\/sqrt(3)) + -2.\nAnswer: -25*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, -169, -376, -675, -1072, -1573, -2184, -2911?\nAnswer: -3760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1366963520?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 5)*(-1)\/45*(-9 - -6)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6*-2*(-5)\/(-30). Suppose -w*k = -5*m + 2654, 2*k + 1605 = 3*m + 5*k. What is the hundreds digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -20.5 = -1\/66?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -4*d - 4. Let k be d\/(-20) - (-6)\/15. Solve k = 3*b - 2*t - 13, 0 = -b + 3*t + 13 - 4 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -47*n**3 + n + 1. Let l = -321 + 459. Calculate the remainder when l is divided by p(-1).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(5 - -30) - 130\/175.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-804)\/(-21) + (-2)\/7 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from ysyyysssyssyyyssyysy?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40.1 - -39.9. Suppose 5*b = 2*o - 19, -b + 0 = -4*o - 7. Put 1\/2, g, -1\/3, b in descending order.\nAnswer: 1\/2, g, -1\/3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 4*w + 15718 + 21515, -3*c + 2*w + 22339 = 0. Is c a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -187 - 293. Let k(b) = 0 + 1 - 4 + g*b + 50*b. Let z be k(1). What is the greatest common factor of z and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3414*v - 251121 = 177442 - 134959 for v.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, o: 1, y: 1, u: 1, p: 1}. Give prob of sequence ylpo.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-48 + 0 - 40)*(2*j + 4 - 4) to k + b*j and give b.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-5 + 3) - (-2 - (5 - 1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*z + 426 - 10. Let l be 7\/(-20) - (-39)\/z. What is the closest to 1 in -1\/3, -1\/6, -1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*i + 14*i - 11*i to t*i + n and give t.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + 12. Let q(z) = z**2 + 8*z - 14. What is the smallest common multiple of q(-10) and s?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 9 = 4*d - 8*b, 2*b + 12 = 3*d. Put 3, 1, d in descending order.\nAnswer: d, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -y**6\/15 + 12*y**5\/25 - 13*y**4\/10 + 8*y**3\/5 - 4*y**2\/5 + 3. Solve j(t) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0074367 to 5 decimal places.\nAnswer: 0.00744","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 19 (b) 1\/6 (c) -0.027237\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*k + 20*k - 6. Suppose -k*z + 2*s - 4 = 0, 8*s = -3*z + 5*s + 21. Solve -4*v + 2*t + 16 = 0, v - 2*t + z = -3*t for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a micrometer in nanometers?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-27)\/(-12) + (-801)\/356. Solve r = -3*o + 5*o - 0*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -11*a + 13*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1058 (b) 1\/34 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*q + 2*q**2 + 3*q)*(1 + 1 - 4)*(4 + 5 - 5) as f + x*q**2 + a*q and give x.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20.044 + 372.956. What is the biggest value in -0.3, v, 2\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 6. What is the remainder when 70 is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 12, j: 6}. What is prob of picking 3 s?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -2, 8\/7.\nAnswer: -2, 8\/7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -196.\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 283 - 281.09. Let w = d - -0.09. Put 4, -2, w in ascending order.\nAnswer: -2, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, i: 4, l: 1, o: 7}. What is prob of picking 3 i?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 106161217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41169 + -25026. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**2*v**3 + b**2*v**2 - 9*b**2 + 387*b*v**4 - 7*v**3 + 2*v**2 - 78 wrt v?\nAnswer: -12*b**2 + 9288*b*v - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 - 13 = 5*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -87 + 177. Does 10 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36711351 and 1908?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.2*-14691.\nAnswer: 17629.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 6.115, -12, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2))\/((-4730)\/(-528) - 9).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 1.2, -1\/10, 4, -2 in descending order.\nAnswer: 4, 1.2, -1\/10, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18491622 is divided by 306.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*l*y**3 - l*y**2 - 4*l*y - 280*l - 1970107*y**3 + 255*y + 8 wrt y.\nAnswer: -60*l*y - 2*l - 11820642*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a factor of 2193734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/(-2) + 1)\/(6\/(-520)). Suppose 0 = p + 2*p + 4*y - 380, r = 2*p - 4*y. Suppose 3*m = 5*m - w - 263, -m = -4*w - p. Is m a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 218, 228, 238, 248?\nAnswer: 258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of 0*c - 9\/2*c**2 + 9. Let r(o) be the second derivative of 19*o**3\/6 - o. Calculate 13*m(b) + 6*r(b).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 425012126 to the nearest integer?\nAnswer: 20616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5373, -5178, -4811, -4260, -3513, -2558, -1383?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50\/29 + 401\/87. Let u = -1 + 4. Calculate the common denominator of v and (363\/10)\/u + -2.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*217\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**2\/c**(-1\/15)*c**(-2\/17)\/c*c*c**(-4) assuming c is positive.\nAnswer: c**(-523\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6952917 divided by 57.\nAnswer: -121981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 1, -4126 in ascending order.\nAnswer: -4126, -17, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1780 and 22.\nAnswer: 19580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, t: 15}. Give prob of picking 4 g.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-21)\/(((-2)\/(-2))\/(-1)). Let g be 5 - (0 + -1*2). Let l(o) = -o**3 + 7*o**2. Let y be l(g). Solve -4*p - 1 + m = y for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*m**3 - 17*m**3 - 6*m**3 - 10*m**3.\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28b79 (base 13) to base 9.\nAnswer: 126134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1565?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6992 and 17825.\nAnswer: 5418800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -38*i + 164. Let g be a(4). Suppose 0 = -y + g*y - 76813. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12.62692 - -12.5169243. Let i = -5.89 - -6. Let a = w + i. Round a to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1384 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 41209731 - 12.\nAnswer: 41209719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((4 + sqrt(108) + -1 + 0 + sqrt(108)*3)**2 + 0) + 0.\nAnswer: -5211 - 432*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 57*l - 241 + 640 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 2 - 44. Let v(l) = 4*l**2 + 6*l + 2. Suppose -2*s - 9 + 1 = 0. Let u be v(s). What is the greatest common factor of x and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 147*h**4\/2 - 315*h**3 + 171*h**2\/2 - 6*h.\nAnswer: 3*h*(h - 4)*(7*h - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17.144 and 0.3?\nAnswer: 5.1432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 344 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 77236 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10045283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of 1\/6*j**3 + 0 + 0*j**2 + 1\/3*j**4 + 4*j. Find the second derivative of l(y) wrt y.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 20\/3 - 16\/24. Suppose 0*j = -x*j + 6. Is 6\/13 at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o + 1. Let l(y) be the third derivative of -7*y**4\/12 - y**3\/6 + 3*y**2 + y + 440. Give -2*i(j) + l(j).\nAnswer: -16*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert d (base 15) to base 16.\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6768 - 6772. Suppose -3 = i - 0. Let b = i - 0. Sort q, b, 3.\nAnswer: q, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from xgmrrgppmgrgrgg?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -62.199 - 17?\nAnswer: -79.199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.1, 1\/25, -1, 1\/8?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -16704 divided by 522?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -39789.\nAnswer: -1\/39789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 49169 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 0.5 (b) 34.3 (c) -1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -48508*1963\nAnswer: -95221204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 12) in base 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -79, 1\/2, 5\/12, 19\/5?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-22) - 684\/(-132). Let p be 1\/m - (-66)\/(-30). Let h = 8 + p. Solve 0 = -h*t + 2*t - 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-8)*-2*(-28)\/(-49)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 0.1 (c) -5\/6 (d) -36005\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -8*v - 3, 119*v - 362*v = -123*v - 122*v for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42935 is divided by 145?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + (-2 - (-4 - 0)). Find the common denominator of -11\/56 and -2*(-21)\/(-12)*(-6 + f).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.36 + -0.06. Let a = -1 + 3. What is the third biggest value in u, 0.2, a?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0*4\/16)\/1. Is 1\/30 at most as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (-33 + 100)) + -17?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -4*z**3 + 5*z**2 + 8*z - 10. Let n = -46 + 41. Let g(a) = 7*a**3 - 10*a**2 - 15*a + 19. Let x(s) = n*v(s) - 3*g(s). Is 3 a factor of x(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 367, 377, 367, 337, 287, 217, 127?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-79)\/2)\/(4\/(-8)). Differentiate -5 + 2*w**4 - i*w**2 + 33 + 79*w**2 wrt w.\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 104 - 941*d - 951*d + 1811*d + (-5 + 3 + 1)*(-2*d + 3*d + d) - 1 + d + 1 as p + f*d and give f.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5, 0.0151, 20, -2285?\nAnswer: 0.0151","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -b**5\/5 - b**4\/6 + b**2\/2 + 26*b + 236. Let q(o) be the first derivative of t(o). Determine q(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-14 - 8 - -11) + (1 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-450))\/((-94)\/1128*(-6)\/3).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 468651871 to the power of 1\/2, to the nearest integer?\nAnswer: 21648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (39\/((-1404)\/(-660)))\/(5\/6). Let z(u) = u**2 - 22*u + 9. Calculate z(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 23 = -3*m. Suppose -a = -3*v + 8*v + m, -5*a - 3*v - 5 = 0. Let h = 3 + a. What is the least common multiple of h and 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 11835, 11831, 11833, 11847, 11879, 11935, 12021, 12143?\n\"Answer: o**3 - 3*o**2 - 2*o + 11839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.1 - -0.1. Let b be (-1308)\/9*4\/16. Let y = b - -36. What is the second smallest value in y, r, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 785*x + 524*x + 1745*x.\nAnswer: 3054*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 5*l - 2*l)*(2*l - 2*l - l).\nAnswer: 7*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 36\/14 + (-9)\/(-21). Sort -7, -4, y.\nAnswer: -7, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-3)*(27 + -24). Put 0, 5, o in descending order.\nAnswer: 5, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2329 > -2330?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -r - 6. Suppose m + 0*m = 4*u + 18, -2 = -5*m - r*u. Suppose -m*v = -v. Solve v*y - y = -4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 567.5282 tonnes in micrograms?\nAnswer: 567528200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 15*m**2 + 15*m + 38. Let q be i(16). Find the first derivative of q - 2177*u**3 + 2272*u**3 + 6 + 62 - 20 wrt u.\nAnswer: 285*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -423 - -425. Suppose m*i - i - 5*w = 24, 2*w = 2*i - 24. Solve -k + 2*k = 1, 0 = -2*c + 3*k - i for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/9 - 10224164*o\/9 + 37488682\/3.\nAnswer: -2*(o - 11)*(o + 5112093)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6108?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 531044 is divided by 58987?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) + (-3*sqrt(187) + sqrt(187))*-2)\/(-4*sqrt(396)))**2.\nAnswer: 425\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**3)**(10\/7)*(p**(2\/7))**50 assuming p is positive.\nAnswer: p**(130\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*i = 28*i - 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 496638 and 170.\nAnswer: 2483190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (15 + -15 - 10).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*s = -15*s - 960. What is the lowest common multiple of 48 and s?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -4*d - 15, 4*d + 17 = 3*k - 6 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -56*o - 4. Let q(y) be the third derivative of -y**4\/24 + 5*y**2 - 6. What is v(q(k))?\nAnswer: 56*k - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.1 from -74.\nAnswer: -75.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(165)\/sqrt(125))\/(sqrt(11) - (sqrt(11) - ((sqrt(11) - (sqrt(11) + sqrt(44) + sqrt(11)))*-2 - sqrt(11)) - sqrt(11))) - (2*sqrt(300)*1*-4 + -5)**2.\nAnswer: -19225 - 23999*sqrt(3)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3\/552598?\nAnswer: -3\/552598","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0399 + -0.5399. Let m = -199 - -212. Suppose -22 = 3*x - 2*j, -3*x + 8*x = 5*j - 45. What is the second smallest value in m, v, x?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-33)\/44 - 262\/(-8). Find the common denominator of -127\/12 and ((-2)\/r)\/((-4)\/(-760)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 2\/3 (b) 1\/6 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.025 - 3.025. What is the nearest to -3\/5 in -0.3, -0.5, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -dd + -9?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**2 + 4*n - 5. Let h(o) = -4 + 2*o**2 + 5*o - o**2 - 2*o. Let a(w) = -4*h(w) + 3*s(w). Let z be a(-1). Solve 1 = -d - z for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -189*c**4 - 584745*c**3 - c**2 - 577151555*c?\nAnswer: -2268*c**2 - 3508470*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37 - 31. Suppose -2*y - 72 = -q*y. Let a = 126 + y. What is the greatest common factor of a and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 61.12376 - 62.205. What is p rounded to one dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -715686879*u**4 - 97*u**2 - 2*u + 3755991.\nAnswer: -17176485096*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -897835\/24 - -37415. Find the common denominator of v and 68\/207.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -37, -17, 17, 65, 127?\n\"Answer: 7*w**2 - w - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 6*d + 2*g = 0, -2*d + 12 = 2*g for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - -17986?\nAnswer: 17986.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 860 (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 3*u + r, -194593*u + 5*r - 34 = -194591*u for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -31864*f**4*j + 45*f**2 + 426*j - 32172 wrt f.\nAnswer: -127456*f**3*j + 90*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1106623 and 4244.\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 0.0467\nAnswer: -0.2335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 2:50 AM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1021464*m**2 + 5776242 wrt m.\nAnswer: -2042928*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -549*y**2 + 201*y**2 + 2385*y - 1 + 4353*y**2 + 680*y**2 wrt y.\nAnswer: 9370","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u = -13*u + 3027. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1035?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 30.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 179489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 268899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 463964 divided by 231982\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.281 + -113.719. Let l = -21362 + 21247.41. Let s = l - z. What is s rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) - (sqrt(147) - (1 + sqrt(147))*-1)**2) + 1.\nAnswer: -588 - 21*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 m when three letters picked without replacement from ffmfffffffffffmm.\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 3*m + 3 = -4*s, 4*s - 1 = -m. Suppose s = g - 6*g. Suppose x - 10 = -2*x - o, 3*o - 12 = g. Solve 0 = -4*w + q + x*q - 1, -4*w - 2*q = 26 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.3 - -0.8. Let h = -54.0435 + -0.0565. Let k = 54 + h. Sort l, 1\/5, k, -2\/7 in descending order.\nAnswer: 1\/5, k, -2\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 643*b**3 - 168*b**3 + 591*b**3 - 52*b**3.\nAnswer: 1014*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19179 - 19255 - (-2 - -47).\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(76) - (-3*(sqrt(76) + 1) + sqrt(76))) + sqrt(76)*-2*5 - (-1*(-1 + sqrt(76)) + -4))**2.\nAnswer: -576*sqrt(19) + 11088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 799436 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 554 = y, 2*f + 5*y + 268 = 4*f. List the prime factors of f.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*d - 154*d - 9 = 0. Let f = -6 + 3. What is the units digit of f\/15 + ((-484)\/(-20) - d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i. Let z(h) = 2*h**2 + 313505. What is z(p(a))?\nAnswer: 2*a**2 + 313505","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5*v + 114 = 0, 0 = -2*k - v - 22 + 98. Let c = 17 - k. Is ((-8)\/(-6))\/((-2)\/c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - -8. Let q = -1351 - -1354. Is 18 a factor of (q - (-33)\/k) + 3472\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + y + 1 = 0, 4*q + 2*y + 2 = 8. Suppose q*n - 16 = 12. Is 3 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 3*a**2 - 3*a + 145. Calculate x(0).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*b + 5*b - 59*b + 4*a = 172, 3*a - 33 = 3*b for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 1. Let n = 2042 - 2042. Put 5, -5, n, k in decreasing order.\nAnswer: 5, n, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*u**4 - 5*u + 5*u**2 - 60*u**5 + 13*u**3 - 12*u**4 + 52*u**3 = 0. Calculate u.\nAnswer: -1, -1\/3, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11131234 (base 7) in base 11?\nAnswer: 5aa580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 25 = 5*y. Let p(c) = -c**2 + 12*c - 9. Let m be p(y). Calculate the greatest common divisor of m and 216.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 7:16 PM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-27)\/15 + 2 + -1. Let r = 29 + -89\/3. Let y = r + 20\/21. What is the nearest to 0.1 in y, w, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/((((-220)\/180)\/11)\/((-60)\/486))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - 14*c**2 + 57*c - 84. Give o(7).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 205642.5kg?\nAnswer: 205642500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00149772 rounded to 5 decimal places?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jssssssjsjssssssssss. Give prob of sequence ssjj.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 412663491 to the nearest integer?\nAnswer: 745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -282434 + 282440.000005. Let q = t - 6. What is q rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 3*i. Suppose 4*j - 10 = 5*k + 22, 5*j - 31 = 4*k. Let m(z) be the second derivative of z - 1\/6*z**3 + 0 + 0*z**2. What is j*m(g) + h(g)?\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7647917 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 23 + -8 - (-3 + 56)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4*h + 11 = q, -2*q + 3*h + 11 = 0. Suppose 5*z = 3*y + 4, 1 = -y - y + 5*z. What is the remainder when 31 is divided by (-102)\/(-9) + q\/y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4665, -9, -1, -813.\nAnswer: -4665, -813, -9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23024879*z**3 - z**2 + 3105*z - 321?\nAnswer: -138149274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 14*f - 20. Let j be x(11). Let d(u) = u - 20. Let m be d(j). Is (0 + 1)*59*(10 + m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 7, i: 4}. Give prob of picking 3 y and 1 i.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7, -12, -65, -170, -345, -608, -977?\n\"Answer: -3*z**3 + z**2 - z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m. Suppose h = 5*n - 8*n + 23, -4 = 2*h - 4*n. Let j(u) = 2*u + 1. Let q(i) = 16*i**2 + 16*i + 8. Let x(c) = h*j(c) - q(c). Give x(k(o)).\nAnswer: -64*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -23*m - 9*m + 10*m - 1. Let w(b) = -23*b - 1. Let i(x) = -6*o(x) + 5*w(x). What are the prime factors of i(1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f**3 - 2*f**2 + f - 1. Suppose 0 = 5*o - o + 12. Is i(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 - 1.1. Let g = x + 1. Put 2, 5, g in decreasing order.\nAnswer: 5, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 7 = s + 3*s, 403240*r - 403238*r - 2 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o - 4. Let c be z(4). Let q be 7 - (0 - (c - 3)). Solve 0 = q*i - 22 + 2 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/7 and 4\/(-18) - 6293\/(-252).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23.1000161 - -23.1. Round q to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -2) + (30 - 14) + 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.52778 centimeters in nanometers?\nAnswer: 755277800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -5*a - 2. Let n(s) = 3*s + 1. Let q(l) = 7*n(l) + 4*r(l). Let y be q(6). Let p = 4 + y. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.22 - 0.62. Let r = -0.4 + 0.5. Let s = r + 0. Which is the closest to 1\/3? (a) 1\/6 (b) s (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 50 = 2*r, -2*y + r + 15 = -y. Let s be (-4)\/y + 120\/50. Solve 5*z = -4*f - 5, -5*z + 0*f + s*f = 35 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1884 + -1882. What is the closest to 6 in -0.1, -0.5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21066.1 * 52.\nAnswer: 1095437.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1814201278?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, -6, 5 in increasing order.\nAnswer: -6, 1\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 483501.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - s - 1 = 6*k - 34, -3*s = -15 for k.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + 3. What is the remainder when x is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 12 = 3*g, 6 = 5*z - 3*g - 6. Suppose -2*o + z*o - b = 5, 0 = 5*o + 4*b + 8. Is (-114)\/o*(-12)\/(-18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2. Suppose -t + 1 = 2*t + k, t + 5*k = -23. Let y(j) = 6. Let s(r) = t*y(r) - 9*u(r). Let p(x) = -x + 7. Give 6*p(z) + 7*s(z).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 806563421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -13 + 13 - 11*g**2. Let a(i) be the third derivative of 0 + 0*i + 0*i**4 - 34*i**2 + 0*i**3 - 1\/30*i**5. Calculate u(a(q)).\nAnswer: -44*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c + 21 = 5*k + 44, k + 8*c - 21 = 0 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200639*c + 66875*c + 66874*c + 66881*c.\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -4637.4 to the nearest ten.\nAnswer: -4640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 41?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -152*i**3 + 44*i**2 + 29*i - 125. Let l(m) = -91*m**3 + 26*m**2 + 17*m - 75. Give 10*a(t) - 17*l(t).\nAnswer: 27*t**3 - 2*t**2 + t + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1532 + -201302?\nAnswer: -203134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -253 - -253.5. Let y be (-26)\/(-60) + 1\/(-3). Which is the third smallest value? (a) -1 (b) o (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-9))\/4*0\/(-39).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -101441402?\nAnswer: 101441342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2881*s - 64200 = -910*s + 4785 for s.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) -0.3 (b) 7 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2016 and 21?\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*7*448\/1568.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7116735 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 248673, 248669, 248663, 248655, 248645?\nAnswer: 248633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 + 6 + 37)*(5*d**2 - 4*d**2 + 3*d**2).\nAnswer: 280*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14913\/14 - 1064. Let u be ((-93)\/(-2))\/(138\/(-24) - -5). What is the common denominator of z and u\/(-4) - (-3)\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -48605*f**2 + 128*f + 31 wrt f?\nAnswer: -97210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 914 - 914 - i - 6*i.\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 747474 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - (-4 + 50 + 8)) + (-3 - 9) + 17?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-38 - 99 + 154 - 12*y**2)*(1 + 1 - 3) + (4*y + y - 2*y)*(-3*y + 0*y + 11*y) to v + s*y**2 + o*y and give s.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 20049*z - 1003. Is t(50) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 b when four letters picked without replacement from {b: 5, r: 6, t: 4}.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6067001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/1056996 and 137\/216.\nAnswer: 2113992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + 8*o + 3. Let p(l) = l**2 - 8*l - 2. Let z(c) = 5*g(c) + 6*p(c). What is z(10)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + 40. What is the greatest common factor of s and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -52 + 76. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 21. Let p be b(-5). Let v be p\/16 + 59\/(-4). Is v >= -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -61*u**2\/2 + u - 60. Let y(k) = k. Determine x(y(t)).\nAnswer: -61*t + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -6*y - 5 - 3*y - 4*y - 7*y**2 + 12*y - y**3. Let x be j(-7). What is the derivative of -3 - 7*v + 6 + x*v - 7 wrt v?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(13)*2 - (3 + sqrt(117)))**2.\nAnswer: 6*sqrt(13) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 15) to base 3\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of -8*d**2 - 1\/12*d**4 + 1\/30*d**5 + 0*d + 0 + 1\/3*d**3. Let f be m(1). What is the smallest value in -1\/13, 2\/5, f?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 divided by -21?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**3 - 7*l**3 + 2*l**3 + (l**3 - l**3 + l**3)*(-3 + 6 - 2) + 3 - 4*l**3 - 3.\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63106349?\nAnswer: 29, 37, 103, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 3*s**2 - 57354*s + 6952536 = 0.\nAnswer: 122, 18996","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -1768\/9 + 197. Let t = -28 + 25. What is the common denominator of t and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 63*u - 162. Calculate the smallest common multiple of i(4) and 72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/(-3) - 2\/6. Solve i = 1 - w for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**4 + 120*v**2 - 8*v + 2*v**4 - 119*v**2 - v**4 to the form x + f*v**3 + j*v**4 + t*v**2 + c*v and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-22))\/(6\/33). Which is bigger: 2\/345 or f?\nAnswer: 2\/345","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1)\/s)**(12\/5)*((s*(s\/s**0)\/s)\/s)**(4\/25) assuming s is positive.\nAnswer: s**(-24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3560 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -9458.772 rounded to the nearest integer?\nAnswer: -9459","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*u + 24*u - 10*u)*(7 - 8 - 1) in the form t + m*u and give m.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 - (-28)\/8) + 3078\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0022986187286 to 6 decimal places.\nAnswer: 0.002299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 9, g: 3}. Give prob of picking 3 g.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -3 - (0 + -1 - -4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63 and 603?\nAnswer: 4221","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 8*v**2 - v + 5. What is w(8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1236 + 1236. Let v(w) = 3*w - 6. Let s be v(-5). Sort -4, s, 5, p in decreasing order.\nAnswer: 5, p, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - 3*w + 3. Let m(u) = -u**3 - 3*u**2 + 29*u + 65. Let q be m(-2). What is the highest common divisor of q and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -484 (b) -0.1 (c) 1 (d) 2\/9 (e) -33 (f) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-93)\/((-46500)\/(-100)))\/(1\/150).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 330.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 249\/(-9) + 92\/138 - (-16)\/(-32)*2.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 162 = 128. Suppose -3*o + m = 5*k, 4*k = -6*o + o + 246. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203 = -338*c + 367*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2482)\/(-816) + -6*(-10)\/(-160).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0071195 rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + 3 + 42\/70*95\/21. Let f(g) be the first derivative of 1 + 3*g**3 + p*g - 24\/7*g**2 - 27\/28*g**4. Determine u, given that f(u) = 0.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4.278877 or 6?\nAnswer: 4.278877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1366, -2788, -4210, -5632, -7054?\n\"Answer: -1422*g + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 13*a + 25. Let x be o(-11). Solve -k - 6 = 2*k, 3*u = x*k + 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1457, 1481, 1519, 1571, 1637, 1717, 1811?\nAnswer: 1919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 + -27. Let z(s) be the first derivative of 1\/2*s**4 - 4 + 0*s**2 - 1\/5*s**5 + k*s - 1\/3*s**3. What is w in z(w) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 - 2.2. What is the nearest to h in 2, -5, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5\/2, 4, -5, -0.21, 0.786?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5457, -5, 23?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = -68 + 388. Let g(t) = 5*t**2 + t - 1. Calculate the remainder when g(1) is divided by ((-2)\/4)\/(5\/i + 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 39*u + 1674. Let g(t) = -3*t - 124. Let b(a) = 27*g(a) + 2*r(a). Let x(c) = 2*c - 76. Give x(b(w)).\nAnswer: -6*w - 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 0*a = -5*i + 45, 0 = 3*a - 5*i - 75. Let g be (75\/a)\/((-6)\/(-8)). Solve -g*b + 4 = -6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 620?\nAnswer: 5580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1098, -4, 2\/13, 1\/2, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8957237?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 26963?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cwnnv. Give prob of picking 1 w and 1 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of l**8\/168 - 641*l**7\/105 + 105571*l**6\/60 - 61053*l**5\/2 + 226098*l**4 - 898704*l**3 - 63*l**2 + 5. Factor v(n).\nAnswer: 2*(n - 316)**2*(n - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1158629 and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xlx when three letters picked without replacement from xtxxtxxxllx.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p - 3. Let v be 15\/(-1 - -6) + 2 + -3. Let l(n) be the first derivative of -3 - 2*n - 1\/2*n**v. Calculate 4*g(r) - 5*l(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 4\/291256021?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(242)*-4 + -1)*-4 + 2)*6.\nAnswer: 18 + 1056*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xgxx. What is prob of picking 2 x?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 t when two letters picked without replacement from {t: 3, c: 3, z: 6, o: 2, m: 1, a: 5}.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, e: 1, x: 1}. Give prob of picking 1 x and 1 b.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 4 - 2, j = -5*t - 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/sqrt(4)*-1 + -1 + sqrt(704) - (sqrt(121)*-2)\/sqrt(11)*6)**2*-2*-4.\nAnswer: -304*sqrt(11) + 31776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 26 and 0.1114.\nAnswer: 2.8964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1a2 (base 13) to base 10\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3820 - -3822. Let k = 4.01 - 4. Let q = -0.41 + k. What is the third biggest value in -0.02, c, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.76 - 55.1?\nAnswer: -54.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -4, 270, -15 in increasing order.\nAnswer: -15, -4, 15, 270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 23. Does 13 divide g(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4329336 divided by 2852?\nAnswer: -1518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 3. Let l(y) = 34 - g*y - 34. Let u(i) = -15*i. Give 24*l(k) - 5*u(k).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9767.92669 - -9768. Let k = p - 0.073. Round k to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 947260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 13, 2 in descending order.\nAnswer: 13, 6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*k - 7*k = g - 457, -4*g = 2*k - 28 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -576, -0.34, 3\/8, -1, -14 in descending order.\nAnswer: 3\/8, -0.34, -1, -14, -576","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of q**4\/40 - q**3\/30 + 63. Factor c(b).\nAnswer: b**2*(b - 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -604 + 9*j**4 - j**5 - 18*j - 9*j**3 + 4*j**5 - 33*j**2 + 604.\nAnswer: 3*j*(j - 2)*(j + 1)**2*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5363 at least -11117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 4)*(2*w + 3*w - 4*w)*(5*w**2 + 0*w**2 - 3*w**2)*(659*w + 583*w - 111*w).\nAnswer: -2262*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 8*i**3 + 12*i**2 - 38. Let a(c) = -3*c**3 - 5*c**2 + 15. Let n(s) = 12*a(s) + 5*q(s). Differentiate n(g) with respect to g.\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 - -18. Suppose -5*h = s - 45, -h = -p*s + 2*s. Let x be 26\/h - (5 + -2). Put -3, -1, x in descending order.\nAnswer: x, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*x = -5*w - 294, 0 = 4*x + 1651*w - 1647*w - 60 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xcccciicxcciic. What is prob of picking 1 c and 3 i?\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 19 + -6 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/(-30))\/((-1)\/(-85)). Suppose 5*f + w = 3*f. Let v = 30 + f. What are the prime factors of v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1839198.9 days in weeks?\nAnswer: 262742.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 75535 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 118822, 237620, 356388, 475120, 593810, 712452?\n\"Answer: -i**3 - 9*i**2 + 118832*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -1098*f. Let r(g) = 589*g. Calculate i(r(l)).\nAnswer: -646722*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 919434 and 6276?\nAnswer: 1838868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that v**2\/3 + 2305*v\/3 - 51350 = 0.\nAnswer: -2370, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6700 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, g: 7, m: 2}. Give prob of sequence dg.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*p - 22. Let t(h) = 7*h**2 - h - 1. Give t(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i + 1. Let v be 6 - 3\/6*2. Suppose -2 = d + v*w, -3*d + 8*d + 3*w - 56 = 0. Suppose -5*c = -2*c - 5*b, b = -2*c - d. What is p(c)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21 in -0.1, 0.4, 3, -41, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - 27\/(-3))\/1. Let u = s - 4. Factor 5 - 2 - 2*q - q**3 - q**2 - 2 + u*q.\nAnswer: -(q - 1)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 738188 and 1045.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/88085 - 398936929\/3171060. Let p = x - -481\/4. Find the common denominator of p and 109\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 487856?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -532451, -532459, -532467, -532475?\nAnswer: -532483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 52050*0.1\nAnswer: 5205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4829*w + 759 - 31 = 4855*w for w.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -6. Let p = l + 2. Let b(c) = -c**3 + 2*c**2 - 2*c + 3. Let s be b(2). Which is smaller: p or s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 5*v + 3*h - 11, -4*v - 3*h + 46 = 0. What is the highest common factor of 117 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-33)\/143)\/(2 + 298\/(-148)). Suppose -52*q + 24*q = -504. Is q greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*o + 2*o - 3*o)*(-4 - 4 + 6) - 33*o - 36*o + 61*o)*(5 + 1 - 2).\nAnswer: -24*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 222\/8 + (-2)\/(-8). Let l = s - 20. What is the remainder when 33 is divided by (18\/l)\/(5\/20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b (base 15) to base 10\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -22 (b) 3 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 67355 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -4*d**5 + 2379472*d**4 - 353870316824*d**3 + 707695423952*d**2 + 5307983369340*d = 0.\nAnswer: -3, 0, 5, 297433","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 5*h**2 + 6*h - 3. Suppose 4*v + c = 60 + 11, 5*v - 79 = 2*c. Let b(f) = 14*f**2 + 17*f - 9. Let u(g) = v*t(g) - 6*b(g). Is 2 a factor of u(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 7*p**2 + 6*p + 6. Let h be 14\/7 + (5 - 1). What is the units digit of c(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (-2 - (-16 - 13)) - (-846)\/53.\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4468934 and 222.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4 + ((sqrt(304) + -2 + sqrt(304) + 4 - sqrt(304)) + 1)**2)*1.\nAnswer: -1902 - 144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6585723*q**3*r**2 - 2*q**3 + 44158*q**2*r**2 - 17*r**2 wrt q.\nAnswer: -39514338*r**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - l = 1507, 4*j - 660 = -l + 1354. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 330?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**3 + 2929 - 2929.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23376787 and 0.02?\nAnswer: 467535.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -82, -99, -116?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1336072630.\nAnswer: 2, 5, 29, 61, 75527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 15510.\nAnswer: 108570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 94 (base 13) to base 7\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 u when two letters picked without replacement from ounotoppoo.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 13, l: 3}. What is prob of sequence hll?\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2364 divided by -3\nAnswer: -788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/i**(-14)*i**(15\/2))**(-30))**(6\/5) assuming i is positive.\nAnswer: i**(-846)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a2a9 (base 12) to base 10.\nAnswer: -17697","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/3*(-12)\/(-20)*-5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 1215 = z - 1444, h = -2*z + 1325. Let x = -744 + h. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33120301012 (base 4) to base 10.\nAnswer: -4033606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1008*n + 4*t = -1006*n - 38, 18 = -2*t. Suppose 2*m + 2*m = -4. Let o(c) = -45*c**3 - c**2 + c + 1. Let h be o(m). Which is smaller: n or h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 766.0252 kilograms in micrograms?\nAnswer: 766025200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -6*c**2 + 116*c - 1196. Let s(h) = -8*h**2 + 151*h - 1595. Determine -13*f(m) + 10*s(m).\nAnswer: -2*m**2 + 2*m - 402","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.025 * -0.02.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3816 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h + 3*h**3 + 0*h**3 - 588641 + 588655 - h**3 + 2*h**3 + 0*h**3 + 2*h**3 + 2*h**3 - 5*h**3 + (-4*h**2 + 0*h**2 + 2*h**2)*(1 + h - 1).\nAnswer: h**3 - 4*h + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -31*a + 71*a - 41*a + a**2 - 1. Let b be f(-3). Solve 4*r + 2*n + 1 = b, 13 = 3*r - 4*n for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3560 less than -280028?\nAnswer: -283588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + 0*w - 2*w + 2*w + 2*w - 2*w + (w - 3*w - w)*(-1 + 0 + 3) + 4*w + 3*w - 5*w)*(3*w**2 + 0*w**2 - 4 + 5) - 39*w**3 - 40*w**3 - 44*w**3.\nAnswer: -126*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - 2) + (37 - (25 + -34 + 51)) - -87?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l + 3*w - 10 - 52, -l = 2*w - 18 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 305 - 207. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 6:06 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -24\/202809349 and -43\/9.\nAnswer: 1825284141","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3)*u*u\/u**(-3)*u)\/(u**6*u*(u\/((u\/u**(-1\/6))\/u))\/u)*(u**(-1\/5)\/(u\/u**2))\/(u\/u**0*u*(u\/((u\/u**(3\/4))\/u*u))\/u) assuming u is positive.\nAnswer: u**(-287\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*p + 112 + 69 = -69. Let w(c) be the second derivative of -1\/160*c**p - 1\/12*c**3 + 0*c**2 + 5\/96*c**4 - 14*c + 0. Factor w(v).\nAnswer: -v*(v - 4)*(v - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 758750, 758748, 758746, 758744, 758742, 758740?\n\"Answer: -2*c + 758752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ctn when three letters picked without replacement from {b: 1, n: 1, x: 4, c: 5, t: 5}?\nAnswer: 5\/672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40 - -82. Let h be d\/(-132) - (-4)\/(-22). Let q = 0.7 - 0.2. Which is the biggest value? (a) h (b) q (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 7:25 AM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 787 is divided by 197?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than -0.0933?\nAnswer: 0.3067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94760.\nAnswer: 2, 5, 23, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 8:23 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91263 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l. Let w(z) = -5*z**2 - 283*z - 1. Determine w(o(x)).\nAnswer: -5*x**2 - 283*x - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -4*l - 24, 335*l = 333*l + 5*b + 2 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6 + 102\/18)*(-2 - 586)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 1366198.15.\nAnswer: 546479.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-4))\/((-1)\/6). Suppose 50*u - 54*u = 20. Put u, 5, c in ascending order.\nAnswer: u, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**3 + 0*p**3 + p**3)*(p**2 - 4*p**2 - 4*p**2).\nAnswer: 7*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(56 - 53)*(6\/(-3))\/(-6). Let i(v) = -4*v**2 + 2*v - 1. Calculate i(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -12*a**3 - 105*a**2 - 535*a - 3720. Calculate q(-8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10250 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 215.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40 + -73. Let j = x + 33.9. Which is the second biggest value? (a) -0.3 (b) -1\/5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v + 10. Let l be w(8). Solve -l*x = x + 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 46 - 21, 5*x = -g + 16350. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 177979124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 2:41 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(sqrt(55)\/(1*sqrt(5))) + (0 + -2*sqrt(325) + sqrt(325))**2.\nAnswer: sqrt(13) + 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 232241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 5*h**2 - 6*h + 5. Let k be s(6). Suppose 280 = k*l - 5*p, p - 158 = -3*l + 2*p. Let q = -14 + l. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -13261*o**3 - 4*o**2 - 2*o. Is a(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -4*d**3 - 968*d**2 + 45120*d = 0.\nAnswer: -282, 0, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/6)\/(266\/76)*6\/(-15)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 986177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 331583950 rounded to the nearest one million?\nAnswer: 332000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120101 - 2?\nAnswer: 120022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((114\/2204)\/(2\/((-8)\/(-9))))\/(201\/1809).\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 344713*f**4 - f**3 + 56*f**2 + 134980798 wrt f?\nAnswer: 1378852*f**3 - 3*f**2 + 112*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 349474?\nAnswer: 2, 174737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q = -6*q + 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -3 (c) 284483\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.475 (b) 0.08 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 + 43. List the prime factors of n\/(-3)*(-5)\/2.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007478 to 4 decimal places.\nAnswer: 0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 518.998699 - 519. What is w rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6743, -13342, -19801, -26126, -32323, -38398, -44357, -50206?\nAnswer: -55951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*h + 4)*(0 + 1 - 3)*(h + 2*h - 5*h).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 128207 and 308566.\nAnswer: 2173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*h - 352*h + 91*h + 90*h + 5*h**2 + 84*h.\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -737*g**6*l - 47238*g**3 + 17*g**2*l - 2*g**2 - 3625*g*l - l - 16 wrt g?\nAnswer: -88440*g**3*l - 283428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/11, 1\/8, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 3, -8, -1\/3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 7:47 AM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*z**4 + 76*z**3 - 423*z**2 + 51615721*z?\nAnswer: 108*z**2 + 456*z - 846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qtz when three letters picked without replacement from zttytzytzzttq.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 546 and 668532.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -211010201002 (base 3) to base 9\nAnswer: -733632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*p + 30 + 150 = 20*p. What is o in 0*o**3 + 0*o + 0 + 2\/9*o**p - 8\/9*o**2 = 0?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 476, 477, 478, 479?\nAnswer: 480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 4*r - 6*v - 14, 0 = -3*r + 3*v + 12. Solve 5*y - 3*m + 9 = 6*y, -r*y + 12 = 3*m for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_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: Calculate the greatest common factor of 3124 and 88.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 3*r + r - 2)*(5 - 3 - 3)*(2*r + 2 - 2).\nAnswer: -4*r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4344 divided by 724\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1107 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 310 = -218. Let f = d - 174. Which is smaller: 6 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z + 5. Let m(g) = g - 4. Let x(c) = -c. Let d(t) = -m(t) + x(t). Give -4*d(a) + 3*p(a).\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k - 1. Suppose -2*q - 4*u = 7 + 1, 0 = 2*q - u + 13. Let x(y) = 12*y. Let h(g) = -5*g. Let m(w) = q*x(w) - 14*h(w). What is c(m(d))?\nAnswer: -4*d - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in -2, 2\/23, -7\/2, 3?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 3:37 AM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 632 is divided by 72?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*m = 386 - 1119 - 515 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/15 + 2768*j\/15 + 957728\/15.\nAnswer: 2*(j + 692)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 * -24.18\nAnswer: -0.7254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vo when two letters picked without replacement from tototvvvovtvot?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3712116, -7424226, -11136336, -14848446, -18560556?\nAnswer: -22272666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 8.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -17*u + 4. Let m be v(-3). What is the remainder when (16\/20)\/(2\/m) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -225 and -4849.\nAnswer: -5074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-6*(0 + (sqrt(304) - (sqrt(304) + 1)) + sqrt(304)))**2.\nAnswer: -1152*sqrt(19) + 43920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f**3*o**2 + 80010*f**3 + f**2*o**3 + 18508*f*o**3 - 7*f*o wrt f.\nAnswer: 12*f*o**2 + 480060*f + 2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 0 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 21872*t**2 - 22*t - 40. Let z be s(-4). What is z rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30857419 + 12404689573\/402. Let d = r - 106\/67. Let i = -92849\/9570 + 2\/957. Calculate the common denominator of d and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -3*s + 182, 5*h + 2*s - 3*s - 438 = 0. Calculate the greatest common divisor of 8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*i**2 + 5*i**2 - i**2 + 24 - 9*i**2 + 5*i + 4*i to k*i + w*i**2 + y and give y.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 + 5 + 0*b**2 - 2*b**2)*(4 + 1 - 1 + 0 - 2 + 0 + (5 - 5 - 2)*(3 + 3 - 4) + 2 - 5 + 4).\nAnswer: b**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*b**3*c*i**5 + 16447*b**3*c*i**3 - b**3*c*i**2 + 2*b**3*c*i - 14618*b**2*i**2 wrt i?\nAnswer: 900*b**3*c*i**2 + 98682*b**3*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33751888 is divided by 135?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.25 - -4. Let v = q + -1.19. Let t = v + 4.439506. What is t rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -45, 1, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17300 - 16590. Calculate the lowest common multiple of 10 and o.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 126720?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 30*d**2 + 17*d. Let q(f) = 20*f**2 + 11*f. Let y = 26 + -21. Let g(h) = y*p(h) - 7*q(h). Find the second derivative of g(z) wrt z.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 99748041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 6. Suppose 17 = 3*f - q. Let b be 12\/(-10)*(-20)\/f. Put b, 5, -2 in increasing order.\nAnswer: -2, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h - 2 + 3 - 3 - 4. Let n be x(4). Let z(s) = s**3 - 6*s**2 + s**3 - 6 - s**3. What is z(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rqreqvewveqrrwyvevee. What is prob of picking 2 e and 1 q?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.07 + 3.93. Let m = z + -3.5. Let w = 135 + -134. Which is the nearest to 1? (a) 0.1 (b) m (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-366193*26\/13)\/(2*-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -3. Suppose 4*q = 3*f + 2*q + 64, 24 = -f + 2*q. Let k be (4*2)\/(p\/f). Calculate the highest common factor of 16 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/1867737 and 77\/6225790.\nAnswer: 18677370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22324 + -12460. What is the greatest common factor of 12 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -7*o**3 - 62*o**2 - 46*o + 24. What is g(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*f**2 - f + f)*(-1691*f - 138*f + 307*f) in the form b*f**2 + d + y*f**3 + i*f and give y.\nAnswer: 6088","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/24 and 31\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + -20. Let z(x) = x + 1. Let l be z(q). Let f be (-41)\/l - 1\/5. Solve -d - 3*j = -6 - 2, -5*j = 3*d - f for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -192, -193, -196, -201, -208, -217, -228?\nAnswer: -241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 7071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 1 (b) -159 (c) 11.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1*sqrt(112) - (sqrt(105)\/sqrt(3))\/sqrt(5)) - ((sqrt(112) + 1 - sqrt(49)\/sqrt(112)) + 5).\nAnswer: -35*sqrt(7)\/4 - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 1, -4, 1.4, 0.23?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**2 + 196*r - 752 = 0. Calculate r.\nAnswer: 4, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -102.6601\nAnswer: 102.6601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*(x*x**(-2\/7)*x)\/x*x)\/x*x**(-3\/7))**(-22)*((x*x**(1\/8))\/x*x**(1\/2))**0 assuming x is positive.\nAnswer: x**(-352\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 9467458\nAnswer: 5\/9467458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 12542217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 1)*(-2 + 2*j + 2) - 2*j + 0 + 0)*(5*j - 3*j + 0*j).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2 - 22*x + 41. Let l be z(9). Suppose -i + 1347 = l*p, 6839 = 5*i - 19*p + 18*p. What are the prime factors of i?\nAnswer: 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 490724 and 132118.\nAnswer: 3435068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1147 take away -9602746?\nAnswer: 9603893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/2)*g**(-6)*(g\/((g*g*g*g**(-5\/4)*g)\/g)*g)\/g*g\/(g*g**(2\/9)))**(16\/5) assuming g is positive.\nAnswer: g**(-932\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -9 + (65 - 61) - (-20 + 2).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -1 - 3*b + 3 + 6*b. Let y be s(2). Let q = y - 5. Solve -2*w = -m - 0*m + 11, -3*w - 5*m = -q for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*16\/12*(-3)\/12. Which is the second biggest value? (a) 2\/5 (b) -4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 325509141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 90971.42cm?\nAnswer: 909714200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**3 - 506*m**2 + 1962*m + 7458. Determine y(249).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 + 61 + -81 + 28 + 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 115\/3? (a) 2\/9 (b) -159\/4 (c) -41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/33 and -95\/198.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of 53\/120*u**6 - 4\/3*u**3 + 0*u + 0*u**5 - 1\/8*u**4 - 16*u**2 + 0. Find the second derivative of y(o) wrt o.\nAnswer: 318*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -d**4\/4 - 2*d**3 + d**2\/2 + 6*d + 4. Let i be w(-6). Let m(y) = y**2 + y + 6. List the prime factors of m(i).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + l**4 - 55*l**3 + 0*l - 73*l**2 + 0*l + 151*l**2 - 72*l**2 in the form f*l**3 + p*l + w*l**2 + n + t*l**4 and give f.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -4. Suppose -3*i = -3*x + 6, -5*i + 6 = -4. Sort x, n, 5 in increasing order.\nAnswer: n, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 353 - 352.6. Let j = 0 + -4. Which is the second smallest value? (a) m (b) -1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 290 and 69040?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 114 + -113. Solve 4*u - 9 + o = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16837 and 596?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 72.785842 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38487\/22 + -1751. What is the common denominator of (134728\/18720 - 8) + (-63)\/(-105) and i?\nAnswer: 5148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 59*s**2 - 48*s + 17. Is k(-6) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 81020215?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/3))**49*s*s**(4\/7)*s\/(s*s**(-2\/7)*s)*s assuming s is positive.\nAnswer: s**(-647\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 54 - 53.7. What is the smallest value in -18, 1, i?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of -x**7\/1260 + x**6\/360 - 13*x**4\/12 + 8*x. Let g(s) be the third derivative of k(s). Find l such that g(l) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255457.\nAnswer: 255457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 224\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-42)\/(-110) + (-32)\/176. Which is the closest to n? (a) -2 (b) -5 (c) -9 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-190)\/(-380))\/(63\/12). What is the second smallest value in -1628, g, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o - 4. Let a = -109 - -154. Suppose -19*n - a = -10*n. What is z(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -75421.5 + 75421. Let s = 1 - 0.7. Let c = s + -0.1. Sort p, 2\/7, c.\nAnswer: p, c, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - 1) + 5 + -3. Let r be (1\/w + -4)\/((-1)\/11). Suppose 51*o + 160 = r*o. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-7\/4))**(1\/35)\/(n\/(n**(-27)\/n)*n*n**(-5\/8)))**(-28) assuming n is positive.\nAnswer: n**(8231\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -180179 <= -180180?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 9 + 22*l**2 + (-l + l + 2*l)*(-2*l + 1 - 1))*(-2 + 6 - 8)*(4 - 4 - l).\nAnswer: 72*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14.06 + -0.34. Let t = -14 - k. What is the second smallest value in t, -0.6, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + w. Let p be v(2). Let h be 157 + (4\/6 - 21\/(-9)). Calculate the highest common factor of h and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/23258? (a) 9 (b) -5 (c) 4.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 828*f. Let l be t(5). Let q = l - 6343. Let a = q - -17665\/8. What is the common denominator of 101\/16 and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11110 and 6446.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 3 = 7*n. Suppose 186 = o + 4*x, -x + 877 = n*o + 363. Does 34 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 9) + 1 - -8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 9 = -i - 2, 2*m - 19 = 5*i. Let x be -4 - (6\/i + -23). What is the common denominator of ((-30)\/x - 1)\/((-52)\/65) and 9\/16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -12802*x + 102446. What is n(8)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -373*k - 120 - 525 = -244*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3718031796?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -4498273.08 to the nearest one hundred.\nAnswer: -4498300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**3 + 16*s**2 + 156*s + 216.\nAnswer: -4*(s - 9)*(s + 2)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n**2 + 7*n. Let g be c(3). Let p = 48 - g. Suppose p = -3*j + 77 + 43. Is 4 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 98 by 121.\nAnswer: 98\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmpmmmmpphpmpp. Give prob of picking 4 m.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 483 divide 80806138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 27*s - 657. Let f be d(55). Calculate the highest common factor of f and 736.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 33.6 (b) -27 (c) 0 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 165\/2*d**4 + 277 + 0*d**2 + 0*d**3 - 265*d. Differentiate z(n) with respect to n.\nAnswer: 990*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111031100 (base 4) to base 8\nAnswer: -251520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/9555552 and -13\/7432096.\nAnswer: 66888864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 0.3 (b) 1 (c) -3 (d) 2\/809 (e) 2\/11 (f) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 48563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1026 (base 9) in base 12?\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(48) + sqrt(576)\/sqrt(192) + sqrt(48))\/((sqrt(40)\/sqrt(2))\/sqrt(5)) + 2))**2.\nAnswer: 18*sqrt(3) + 259\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -645430 or -645432?\nAnswer: -645430","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) - (0 + sqrt(1700))*-1)**2.\nAnswer: 6800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 621 = -8*i - 231 + 228 for i.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -5, -205\/13, 1\/2, -130\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + 197 + (0 - 1 - -1). Let q be (4 + g\/6 + -1)*-2. Is -4 + (q\/(-4))\/((-5)\/(-380)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven quarters of a meter?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13231*b**4 + 12*b**2 - 6*b**3 - 6617*b**4 - 6*b**3 - 6618*b**4 + 28*b - 28 + 4.\nAnswer: -4*(b - 1)**2*(b + 2)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -513420.25 rounded to the nearest 100?\nAnswer: -513400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 653 - (-1 - -2) - (-2 - 2). Let y = -357 + j. List the prime factors of y.\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(76) + (0 + sqrt(76) + sqrt(76) + sqrt(76))*-5 + 1 + 1 + sqrt(76) + sqrt(76))**2.\nAnswer: -336*sqrt(19) + 10993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -50 - -201\/4. Is 0.08 >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(112) + 0) + -1 + 0 + sqrt(112) + (-2 + sqrt(63) - (-2 + -3*sqrt(7)))**2.\nAnswer: -4*sqrt(7) + 251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, i: 2, l: 2, p: 3, g: 3}. What is prob of picking 1 p, 2 i, and 1 l?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -70+5501246\nAnswer: 5501176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -2*y - 20, 0*g - 2*y = g + 5. Suppose -5*x + 2*f = -80, -3*x + g*f = f - 34. Calculate the remainder when 123 is divided by x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 80*q**2 + 14160*q - 1. Determine h(-177).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/5 + (-416)\/(-10). Let x be (-6)\/27*t\/(-1). Let w = x - 9. Is w less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) 4 (c) -4 (d) -0.7 (e) 3776\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/350 in 23, -4, -2\/9, 4, 5, 21.8?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.04 + 4.96. Let n = -4 + y. Which is the nearest to n? (a) -2\/23 (b) -0.1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12025260, 3, -3.\nAnswer: -3, 3, 12025260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (3*(0 + sqrt(1200)) + (sqrt(1200) - (sqrt(1200) + (-2*sqrt(1200) - sqrt(1200) - sqrt(1200))*-1)))*1)**2*-3.\nAnswer: -3648 + 480*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -43d (base 16) to base 14\nAnswer: -577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -9 (b) 1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.3 (b) -1\/10 (c) 1 (d) -1.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of 1\/2*l**3 + 1\/4*l**4 + 2*l + 3\/2*l**2 - 1\/20*l**5 + 0. What is the least common multiple of 10 and b(3)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 6*n**2 - 2*n - 8. Let f be g(-6). Suppose -f*u + 110 = u. List the prime factors of u.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -4*g - 39. Determine k(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**2 - n - 1. Let r(o) = 13*o + 3. Let a(t) = 20*t + 4. Let x(j) = -2*a(j) + 3*r(j). Determine -b(h) + 2*x(h).\nAnswer: -2*h**2 - h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 72\/(-33) - 2*(-1)\/11. Sort 11, b, 4 in descending order.\nAnswer: 11, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-5 - 0)) + (6 - 18) + 20 + -64?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -45232 divided by 5?\nAnswer: -45232\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.1, 4\/5, -4, 477, -3, -36, -0.2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 - 24 + 25 + 19*r**2)*(-4 + 4 - 1)*(400 - 21*r**2 - 400).\nAnswer: 357*r**4 + 21*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/84)\/((-98)\/343). Let b(s) be the third derivative of 0*s + 1\/6*s**3 + 29*s**2 + z*s**4 + 0. Let k(y) = -4*y - 2. Give 7*b(f) + 3*k(f).\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6773150 to the power of 1\/2, to the nearest integer?\nAnswer: 2603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, -1\/2, -5, -235\/3, 3\/4 in descending order.\nAnswer: 3\/4, 4\/7, -1\/2, -5, -235\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 23*v - 573. Let i(p) = 3*p**2. Give g(i(x)).\nAnswer: 69*x**2 - 573","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*v + 282 + 424 = -86 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5 - 15 = 0. Let s be -3 + (d - -1) + -3. Suppose s = b - 4*b + 15. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7\/(-1))\/(17\/(-68)). Suppose -10*t + 3*t + v = 0. Solve t*u - 3*y - 12 = y, 12 = -3*u - 4*y for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 121*q + 122*q + 124 = 0, 2*t - q - 62 = 0 for t.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 greater than 105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 541 = 177*z - 42*z - 674. Let i(x) = 3*x**3 - 4*x - 5. Let w(y) = -9*y - 3*y**2 - 11 + 7*y**3 + 3*y**2. Give z*i(f) - 4*w(f).\nAnswer: -f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 339121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 294*m = 285*m. Solve m = j - 4, -p - 2*p = 4*j - 16 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2 = 2*b, -2*b + 0*b = 2*q - 26. Which is greater: 10 or q?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 296627 = -x, -1186508 = 4*x - 8*x - 2*f. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, f: 2, r: 5, m: 3, e: 2, a: 2}. What is prob of sequence mffg?\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.1238 (b) -20.5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**5 + 0*l**5 + l**5 + (3*l**2 + 3*l**2 - 4*l**2)*(-l**3 + 0*l**2 + 0*l**2) - 19*l + 17*l - 114*l**5 + 8*l**5.\nAnswer: -109*l**5 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j\/((j**(1\/24)\/j)\/j))*j**(-2\/71) assuming j is positive.\nAnswer: j**(-3385\/1704)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -130*r + 129*r + i, -r = -r - 13*i + 13 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -7 + 9 - 3*-1. Suppose -w*c + 2*c + 3 = 0. List the prime factors of -2 - (c - 29)\/4.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-6 - -7) - (1 + 7).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 38*m**2 - 35*m + 325. List the prime factors of b(12).\nAnswer: 19, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1010 - 942. Suppose x*k = 43 + 25. Let m = 1 + -1. What is the closest to -1 in m, -0.2, k?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - -7. Suppose 2*o + 3*p = -2, -o - o + 10 = -3*p. Suppose -6*j + 277 = -j - o*g, 0 = j + 4*g - 51. What is the greatest common factor of j and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29.8 + -22.9. Let o = l - 27.3. What is o rounded to 0 dps?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 904437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/15 - ((-30)\/25 - 0). Let u(g) be the first derivative of 1\/2*g**4 + 2 + 0*g**3 + 0*g - g**w. Suppose u(n) = 0. Calculate n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*d*i**4 - 10*d*i**3 + 46*d + 34*i**4 - i + 5 wrt i.\nAnswer: 48*d*i**2 - 60*d*i + 408*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**3 - 11*n**2 - 14*n + 49. What is s(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/1801376 and -41\/128.\nAnswer: 7205504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -4.3. Let g = 0.038 - -4.562. Let a = 2.6 - g. Sort 0.1, a, i in increasing order.\nAnswer: a, i, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 18 (b) -4.5 (c) -0.5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56406660 and 2556?\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*f + 22*f + 10*f.\nAnswer: 15*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*g - 86*g - 95*g + 7*g**2.\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*g = 2731*b - 2732*b + 74, -g = -5*b - 14 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -7*m**6\/60 + 11*m**5\/60 - 13*m**4\/24 - m**3\/3 + 3754*m**2. Let b(v) = 7*v**3 - 5*v**2 + 6*v + 1. Determine 13*b(c) + 6*s(c).\nAnswer: 7*c**3 + c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((-7)\/21*-15).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -2, 239, 3, 2\/3.\nAnswer: -2, 1\/2, 2\/3, 3, 239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 239, 964, 2175, 3872, 6055, 8724?\n\"Answer: 243*i**2 - 4*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 3*z + 1363, 0 = -14*q + 18*q + z - 1087. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + -59 + (9 - 39) + 19.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 51*c**2 - 369*c + 4. What is w(-7)?\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3679, 9273, 14867, 20461, 26055?\nAnswer: 31649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**3 - 10*j**2 + 188 - 99 - 89 + 74*j wrt j?\nAnswer: -12*j - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54 + 58. Suppose -4*f = 3*j - 5845, -z*j = 2*f - j - 2915. What is the common denominator of (-3)\/9 + f\/300 and -93\/22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 313*d**3*j**2 - 11322*d**3 + d**2*j**3 - 94594*d*j**3 - 4*d*j**2 + 5*d*j + 3 wrt d.\nAnswer: 1878*d*j**2 - 67932*d + 2*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1270*y - 1286*y = 0. Let b(z) be the first derivative of y*z + 13 + 1\/2*z**2. Let n(i) = 39*i. Give n(b(w)).\nAnswer: 39*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75457 is divided by 4387?\nAnswer: 878","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 259 + 363. List the prime factors of s.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 2456987?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1407641*n**2 - 878*n + 483 wrt n?\nAnswer: -2815282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 652035271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + 3)*(2 - 1). Suppose -5*j = -u*j - 2*r - 148, -4*r + 34 = j. What is the remainder when j is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2112 (base 5) to base 9.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.05 - 0.15. Let h = -0.05 + 0.45. Which is the nearest to h? (a) k (b) -1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z - 23*z - 112 = 0. Let u be (-2)\/24*z*20\/35. What is the third smallest value in 3, u, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = v + 24, 4*v - v - 2*s = -22. Let b be 2 - (3 + v - 0). Let l = 83 - 85. What is the biggest value in 0, b, l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 76 - 100. Let w = x - -13.8. Let v = w - -13. Round v to zero decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -374 divided by 34.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzfzzzf. What is prob of picking 2 f and 2 z?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**2 + 7 + 112721*f**4 - 3 - 112722*f**4 + 113*f to the form c*f**4 + m + n*f**2 + k*f**3 + s*f and give s.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44186619.\nAnswer: 3, 14728873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1539 (base 16) in base 3?\nAnswer: -21110020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 220506*v**3 + 2*v**2 + 117138 wrt v.\nAnswer: 1323036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - f**2 + 4 + (-1 + f + 1)*(-2*f + 4*f + f))*(-2 - 1 + 2) as r*f**2 + k + m*f and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 + 57 = -16*h + 49 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)\/(sqrt(48)\/(sqrt(40)\/sqrt(5))))\/(sqrt(16)\/(sqrt(8) - sqrt(16)\/sqrt(2)*3)).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000101 (base 2) to base 3.\nAnswer: -2120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 7 = 3. What is the units digit of n\/(-1) + (-12)\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 187*p**2 - 1419*p + 97. What is x(6)?\nAnswer: -1685","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 2\/19, 127 in ascending order.\nAnswer: 2\/19, 0.4, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 52 = 0, g + 32 = u + 2*g + 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20000444430 + -10?\nAnswer: 20000444420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q**2 + 3*q - 7. Let s(p) = p**2. Let b(k) = -a(k) + 2*s(k). Let j be (-52)\/(-65)*(-10)\/4. Let y = -7 - j. Give b(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36820400 is divided by 12273458.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*u + 777 + 2*u**3 + u**2 - 777 + 2*u**3 - 9*u**3 - 4*u**3 + (6*u**2 - 2*u**2 - 2*u**2)*(1 - u - 1).\nAnswer: -11*u**3 + u**2 - 17*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 286 (base 12) to base 3\nAnswer: 112110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 8 = 0, 17*m + 9 = -v + 13*m for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 290897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 274, 544, 816, 1096, 1390?\nAnswer: 1704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 63 = 113. Solve 0 = 4*i - 0*g - 4*g, -g = 4*i + r for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004418 rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 670*r**3 - 206*r.\nAnswer: 4020*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 8:27 AM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -t**5\/5 + 2*t**4\/3 - 19*t. Factor g(p).\nAnswer: -4*p**2*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-140)\/44*-1 + 6\/(-2). Which is the third smallest value? (a) 1 (b) y (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -98966*i - 18204.\nAnswer: -98966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -103 - -2340?\nAnswer: 2237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y - 4*b - 5, -y - 5 = 2*b for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 26204.51cm in meters?\nAnswer: 262.0451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1062 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-8)*h*h**(1\/10)*(h\/(h\/(h\/(h*h\/h**(-2\/11)))))\/(h**(-2)*h))**(-24) assuming h is positive.\nAnswer: h**(9348\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 70006.2 - 70006.2588287. Let j = o + 0.0588. Round j to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -223, -1146, -2767, -5086, -8103, -11818?\n\"Answer: -349*f**2 + 124*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3024*v**3 - 64538*v?\nAnswer: -18144*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 18 + 36 = 0. Let l = v + 26. What is the remainder when 26 is divided by 15 + l - (-1 - -5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14102360837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.3 + -6. Let l = 0.08 + 0.12. Which is the nearest to 2? (a) l (b) 4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211107293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y + 0*y - 26*y**3 - 161753*y**2 + 4*y - 3 + 161749*y**2 in the form p*y + n + r*y**2 + k*y**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5708.2 + -5707. Let x = -0.1 - 0.1. Which is the nearest to 1? (a) x (b) -5\/6 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5611\/20 - 1133\/4. Suppose 0 = 4*p + 3*n - 5, -8*p + n + 9 = -4*p. Calculate the common denominator of (-23)\/(-2)*(-1)\/p and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -124\/301 or 0?\nAnswer: -124\/301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 538146 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 125387 and 125388 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h**3 - 13*h**3 + 29*h**3 - 9*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 146*g**3*x + 82*g**2*x + 3*g*x + 33290*x - 3 with respect to g.\nAnswer: 438*g**2*x + 164*g*x + 3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 5*l - 10*l. Let f = l - 3. Solve -1 = -4*q - 5*x + f, -10 = -5*x for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 790 - 416. Does 28 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15163 and 3263129?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by -19814.\nAnswer: -10\/9907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -443*t**2 - 5*t - 7. Let m be g(2). Let f = m - -2576. Is 10 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2579, -5156, -7735, -10316, -12899?\nAnswer: -15484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -15312 less than or equal to -15312?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*c - 64*c + 3758 + 1042 = 0. Solve 49*j - c*j - 48 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20.692 - 13.692. Sort 6, 0, 1\/10, 0.4, b.\nAnswer: 0, 1\/10, 0.4, 6, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -21*f - 67. Let b be w(-12). Let r = -175 + b. Calculate the remainder when 22 is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5*2\/(-5) + 1. Suppose -a*h + 30 = -1293. Find the common denominator of h\/(-45) - (-1)\/2 and 13\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1423\/19 + 75. Let s be (-1134)\/91 + 12 + (-24)\/(-390). What is the second biggest value in 4, s, -2\/11, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of j**5\/12 - j**4\/24 - j**3\/3 - 4*j**2. Let i be y(-2). Solve i = 4*d - 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1680961, 1680973, 1680993, 1681021?\nAnswer: 1681057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 184*r + 181*r = -10, -3*r - 240 = -51*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(26)\/sqrt(2) + sqrt(1872)*1)**2.\nAnswer: -26*sqrt(13) + 2198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2660 - 2655. Which is the nearest to 0.1? (a) d (b) -4 (c) -303\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34 - -32) + 68 - (34 - 64).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 581 times -24\nAnswer: -13944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y + 2*y - 2*y. Let m(g) = 2*g**2 - 13*g - 5. Let z be m(7). Let w(j) = z*j - 208 + 208. What is q(w(i))?\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of p**4 - 164*p**3 + 10*p**2 - 44084*p wrt p?\nAnswer: 12*p**2 - 984*p + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83\/((-2158)\/(-468)) + -2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4642595 or 4642622?\nAnswer: 4642595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q**3 + 5*q**3 - 1402 + 12*q**3.\nAnswer: 17*q**3 - 1402","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-6) - (-7 + 8). Let t = 7\/16 - 11\/16. What is the nearest to k in 5, t, -2\/17?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 2672327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -1) + (-5 + 3 - 7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -51.04 (b) 0.1 (c) 15 (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -195323.\nAnswer: 390646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ik when two letters picked without replacement from {h: 1, l: 4, a: 5, k: 1, i: 1}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1119002 + (42\/28)\/(3\/4). Round z to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33 + 37. Suppose -b*h + 4*j = -7*h + 196, j = 3*h - 191. Does 24 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54479193?\nAnswer: 3, 3209, 5659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/6 (b) 0.03 (c) 0 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78ab3 (base 12) to base 2.\nAnswer: 100111001100100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 1300 = 5*i, -1006 = -3*f + i - 5*i. Suppose q + 5*p + f = 2*q, 4*q + 4*p = 1344. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 18 = -0*f - 5*f, 4*f - q = -6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -46, -5, 92, -3 in ascending order.\nAnswer: -46, -5, -3, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1343894, -1343895, -1343896, -1343897, -1343898, -1343899?\n\"Answer: -l - 1343893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*n + 2*x, 5*n + 0*x = -5*x + 25. Suppose -a = 1 - n. Let d(s) = -3*s**2 + 0*s**a + 3*s**2 + s**2. Let l(m) = 8*m. Calculate d(l(r)).\nAnswer: 64*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*j = -7*j + 35, -2*a = -4*j - 20. Calculate the smallest common multiple of 110 and a.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4586039838943 + 0.29.\nAnswer: -4586039838942.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -555892\/5 - -565342177\/5085. Calculate the common denominator of a and 82\/33.\nAnswer: 55935","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*1*(-4*(2 + sqrt(2299)))**2*1.\nAnswer: -221088 - 4224*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10550042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x**2 + 4*x**2 + 4*x**2 - 6*x**2 + 4*x**2 + x - 20*x**3 in the form o*x**3 + l + m*x**2 + r*x and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (11\/(-3) + 3)*-6. Suppose -2*x - 650 = -l*x. Let v = x - 558. Round v to the nearest ten.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of 20 + 4*x + 109\/3*x**3 + 3\/2*x**2. Calculate the remainder when s(-1) is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 - 2*v**2 + 3*v**2)*(v + 0*v - 3*v) - 2*v**3 - v**2 + v**2 + 4 - 4 + v**3 + (2*v + 0*v - v)*(3*v**2 - 3*v**2 + 2*v**2).\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*t - 21*t - 12*t + 60*t - 21*t - 21*t.\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9753651*u**6 - 2*u**3 + 55*u**2 + 5*u - 1669 wrt u?\nAnswer: 1170438120*u**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 9507?\nAnswer: 57042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -266, -80\/7, 11\/3?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1015 is divided by 297?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 r when two letters picked without replacement from {r: 1, p: 19}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, c: 2, g: 8, p: 7}. Give prob of sequence ppkc.\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 7*h - 20. Suppose -6*y + 30 = -y + h*q, 2*y - q - 12 = 0. Suppose 5 - 17 = -y*b. Solve 0 = 3*t + f + 7, 0 = -b*f - 9 + 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 874957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and -34.\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 16 = -6*a. Let u = 0 - -2. Solve -4*s - u = -b, -1 + a = -5*s + b for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(320)*-1)**2.\nAnswer: 32*sqrt(5) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(242))**2 - sqrt(24)\/(sqrt(48)\/sqrt(4))) + -4.\nAnswer: -sqrt(2) + 964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 6*k**2 + 2*k + 8. Let q(x) = -5*x**2 - 2*x - 7. Determine 3*j(z) + 4*q(z).\nAnswer: -2*z**2 - 2*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - 9863 - 665 = 0. Let a = h + 4317. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -113 + 345. Let h = 714 - g. Calculate the remainder when (1 + h\/(-6))*(-6)\/4 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 5 = -3*k, -2*k + v + 6 = -0*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 264657 and 3.\nAnswer: 264660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -55649971.\nAnswer: 111299942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -4 (c) -3 (d) 0.53\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -5. Suppose 0 = 2*s - 5*x + 21, -s + x - 118 = -112. Which is the third smallest value? (a) y (b) 7 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-12)\/60*-5*2850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 594 > 608?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185341 - 185425 + 370748 + 8*a.\nAnswer: 8*a - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31338346?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12148*o**3 + 0*o**2 + 12151*o**3 + 0*o**2.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 14) in base 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 + -23?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2816*k - 31*v + 290 = 2821*k, -32 = -2*k - 4*v for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*i - 6*i + 9*i**2 + (-2 + 6 - 2)*(0*i**2 - 2*i**2 + 6*i**2) + 1 - 2*i**2 - 1.\nAnswer: 15*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 6:31 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 33 - 29. Suppose -14 = -2*d - v*x - 6, -4*x = d - 13. Let s(n) = 2*n**2 + n - 1. What is s(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -17. Let p = -15 - s. Let j be (18\/(-28))\/((-48)\/56). Which is the nearest to p? (a) 0.2 (b) -4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eleven quarters of a milligram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 22*y**2 + 6693*y - 60313. Determine j(9).\nAnswer: 1706","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2033 + 31321301?\nAnswer: 31330000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3\/8 + 879*h**2\/8 + 7410*h - 95304.\nAnswer: 3*(h - 11)*(h + 152)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 26419283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000255179 to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -17*d**2. Let r(m) be the third derivative of -m**4\/24 + 10*m**2. Determine j(r(x)).\nAnswer: -17*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 + (-20 - (-4 - (-12 - -17 - 3)))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5.29 * 0.011\nAnswer: 0.05819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19044 and 96.\nAnswer: 152352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 - 33.99967. What is s rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -10*g - 14 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 997, 996, 995?\n\"Answer: -j + 998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d. Let o(u) be the second derivative of -u**5\/30 - u**3\/2 - 7*u. Let b(r) be the second derivative of o(r). Calculate -b(n) - 6*i(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.13*7138055.\nAnswer: 927947.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.051 (b) 4\/5 (c) -146 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -28*y**3 - 7*y**2. Let f(c) = -19*c**3 - 5*c**2. Determine 7*f(q) - 5*l(q).\nAnswer: 7*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1225*q**3\/2 - 5215*q**2 - 8762*q - 3380.\nAnswer: (q - 10)*(35*q + 26)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/6))**1*(j*j**(-1)*j)**(-2\/3) assuming j is positive.\nAnswer: 1\/sqrt(j)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5\/((-3)\/12*-4)*27.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*h + 286 - h**2 + 5*h**2 - 285 - 3*h**2 to n*h**2 + m + w*h and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -73791 (b) -2\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-156)\/(-7)*(-10801)\/(-4629).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 6*q + 3. Calculate the remainder when 6 is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -5*f + 20*f**2 + 30 - 23 + 191*f**2 + 4*f. Is p(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -340.23 + 339.83. What is the smallest value in b, 2, 5, -0.08, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -87 + 159 + -41 + (1 - 10).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of a**4\/12 - 2*a. Let o(f) be the first derivative of f**3\/3 + 1. Give o(d(y)).\nAnswer: y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1871369 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34 - 59 - 49)*(-6*k + 14*k + 6*k)*(-4 + 4 - 1).\nAnswer: 1036*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1163, 1146, 1127, 1106, 1083, 1058, 1031?\nAnswer: 1002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3629545066?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -462864 + 7731?\nAnswer: -454133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 122*w - 60*w + 2896 = 0 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5582140 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2088 - 6828?\nAnswer: -4740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 3*j - 50. Suppose -b = -30 - j. Suppose h + 4*d - 4 = 2, -d - 72 = -5*h. What is the remainder when b is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/14 - 426\/(-21). Suppose 20 = j - 2*y, -j + u = 2*y - 3*y. Does 13 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7, y: 1, l: 4, i: 1, s: 2, v: 5}. What is prob of picking 1 s, 2 l, and 1 i?\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -341734 (base 9) in base 11?\nAnswer: -12a898","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of k*n**2 + 2*k*n - 12*n**3 + 36*n**2*x - 2*n*x - 489*x wrt n.\nAnswer: 2*k - 72*n + 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-87)\/12 - 3\/(-12). Is 3 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-five quarters of a kilogram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ijqoiqiwqiwwjej. What is prob of sequence wqii?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -z**4 - 343*z**3 + 44440*z**2 - 1164800*z = 0.\nAnswer: -448, 0, 40, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-10)*30\/3. Does 8 divide 21\/(-2)*i\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, w: 3}. What is prob of picking 2 w?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (18\/15)\/((32\/100)\/4). Suppose -5*r + k = -265. Calculate the remainder when 335 is divided by r.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18860537.2 rounded to the nearest 10000?\nAnswer: -18860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u**4\/5 + 32886*u**3\/5 + 270174861*u**2\/5 - 3245650884*u\/5 + 9740505636\/5 = 0. What is u?\nAnswer: -16449, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**3 - 8*m**2 + 4*m - 12. Suppose -4*w - 16 = 0, -13 - 9 = 5*s - 2*w. Let k be z(s). Suppose -5*g + k = g. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5173 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 3*j**4\/4 - 1922457*j**3\/2 + 7689813*j**2\/4 + 1922457*j\/2 - 1922454 = 0.\nAnswer: -1, 1, 2, 1281636","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 198 + -1394\/7. Suppose -3*v + 5*g + 6 = 2*g, 2*g + 19 = 5*v. Suppose 2*r - 3*r = 4*n - 16, 0 = -v*r + 2*n + 168. Find the common denominator of r and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 941 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: Calculate the remainder when 288277 is divided by 9604.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*n**2 + 2*n**4 - 5*n**2 + (-4 + 2 + 3)*(0*n**3 + 0*n**3 - n**4) - 2*n**4 + 2*n - 2*n + 59*n**4 - 164 + 164.\nAnswer: 58*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (355 + 280 - 543)*(-2*y**5 + y**2 - y**2).\nAnswer: -184*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*t + 8631 - 2789. Let r be (-1)\/(1\/(-2)) + 0. Suppose 0 = -r*p - 0*p + t. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 311368, 1245830, 2803370, 4983982, 7787660?\nAnswer: 11214398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 - 33*a - 105. Calculate the remainder when 103 is divided by v(-28).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 1241 = -4*a + 293, 0 = a - 3. Suppose -5*c - 6 = -1, -5*b - 3*c = -k. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13302320 by 1.\nAnswer: -13302320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2 = 4*v, -h = -3*v + 2*h. Solve 3*s - 1 = -2*x + 1, v*x + 4*s = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.309 - 178.309. Let n = -96 - d. Let l = n + -134. Which is smaller: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*k**2 + 4 - 29*k**2 - 6 + 24*k**2 - k**3 to j*k**2 + z*k**3 + m + b*k and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q**2 + 3*q - 3. Let s be w(6). Suppose -293 - s = -4*y. Suppose n - j + 15 = 2*n, -n = -4*j - 5. Calculate the highest common divisor of n and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 14) in base 12?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1339958152 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*-1*(0 - -1). Let o(u) = -84 + 311 + 2*u - 78 - 63 - 81. Let c(v) = 5*v + 11. Calculate g*c(l) + 9*o(l).\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60 - 6 + 15 + 33 + 18 + 6*f.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44.75489 + -2.\nAnswer: 42.75489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 263 divided by 263\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 16, -26, -96, -200, -344, -534?\nAnswer: -776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -17580, -17565, -17550, -17535?\n\"Answer: 15*g - 17595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 709554 - -4?\nAnswer: 709558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20? (a) -2 (b) -1 (c) -298\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 40 - 10 = -5*u, -2*u + 5 = 3*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 344379 and 168?\nAnswer: 2755032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -2, 189 in descending order.\nAnswer: 189, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 - 31.945. Round o to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 7*u - 18. Calculate w(9).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/95)\/(4\/(-24)). Which is smaller: f or -0.16?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -66*o + 71*o - 10. Suppose -5*i + 3 = 2*a, 5*a + o*i = 6*i + 90. Suppose 19*d - 960 = a*d. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minus -0.74148?\nAnswer: 503.74148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11201 (base 9) to base 11.\nAnswer: -5666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165785 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/13 (b) 0.5 (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-44))\/((10\/(-16))\/5)*22. Solve -u*y = 4*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 11*b = 46*b. Solve -36*v + 12*v + 120 = b for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - u. Let g be n(0). Suppose t = -x - g*x + 2, -6 = -t + x. Suppose q + 9 = 11. Solve 11 + q = i - t*l, 3*i + 9 = -4*l for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 272166 = 272166?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 31*i + 48*i - 13 - i + 8*i.\nAnswer: 86*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5*h**4 - 2*h + 10. Let c(g) = 10*g**4 - 5*g + 20. Let t(z) = -5*a(z) + 2*c(z). Differentiate t(o) wrt o.\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/2 - (7\/3 + 468\/(-1404)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1175.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3623726*q**2 - 1236*q + 9?\nAnswer: 7247452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (6 + (-8 - 2))) + (-2 - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 + -86. Let j = y + 78. Suppose -62 = 4*t - 6*t. Calculate the remainder when t is divided by j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) 0.2 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 13 = 4*l + 11, -2*t + 4*l = -12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38 + 6*2\/6*-1.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -4*m + 8. Let z be q(-4). Let h be z\/10 - (-6)\/(-15). Let p = -7 + 11. Which is smaller: p or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -156911\/18 + 8712. Let j = -31383\/8 - -3928. Find the common denominator of m and j.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 585 + -352. Suppose 0 = 2*w - 4*w + 696. Let d = w - j. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6137 is divided by 40?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -991, -4153, -9407, -16747, -26167?\n\"Answer: m**3 - 1052*m**2 - 13*m + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1790 and 51?\nAnswer: 91290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*d**2 + 36*d**2 + 28*d**2 + 38*d**2 - 132*d**2.\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -226 - 42*q + 34*q + 41*q - 640277*q**2. Let v be r(6). What is v rounded to the nearest 1000000?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 58\/10)*(1065\/(-90) + 12)*-15?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -350.12 * 0.3403\nAnswer: -119.145836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35 - 37. Let b be -2*1\/4*-2. Let l(d) = -b + 2*d + 2 - d. Calculate l(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 6*f**2 + 3*f + 3. Let c be y(5). Let x(v) = -2*v - 10. Does 3 divide x(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5392*f = -1354*f - 195293 - 337641 for f.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*t + 0*t - 3*t + (-3 + 3 + 3)*(-3 + 3 - 2*t) - 2*t + t + 3*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/20 + 1)*180\/27. Let s(f) be the first derivative of 0*f - y*f**3 - 5\/2*f**2 - 3. Find the second derivative of s(x) wrt x.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -230*a - 2 + 233*a - 3*a**4 + 4 + 33*a**2 + 0 to the form d*a + g*a**3 + x + b*a**4 + f*a**2 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*(4\/3)\/(-4). Suppose r = n - 2. Which is the third smallest value? (a) -2\/11 (b) n (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 40*z + 38*z - 82*z + 10, 76*z - 82 = -2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of 5*v**2 + 3*v + 890. Determine d(-6).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w - 7810 + 7799 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(1 + 1 + 1)*(-30)\/9.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 429 a factor of 42153103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -5 + -2*sqrt(288)*2)*1 + -5.\nAnswer: -48*sqrt(2) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1464390568 to the power of 1\/2, to the nearest integer?\nAnswer: 38267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -90396, -90490, -90586, -90684, -90784?\n\"Answer: -l**2 - 91*l - 90304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, -0.1, -57.2613, 0.3 in increasing order.\nAnswer: -57.2613, -0.1, -0.05, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of 17*c**2\/2 - 5*c - 94. Let o(v) = -6*v + 2. Let l be (4\/(-5))\/((-2)\/(-20)). Calculate l*o(t) - 3*n(t).\nAnswer: -3*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4823852*q**5 - 76583*q**2 - 2*q + 3.\nAnswer: -289431120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/1 - 6)*2615. Let k = -132 - m. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 3, 73*x = h + 78*x + 479. Which is smaller: h or -460?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 870 + 126*t + 2*t**2 - 45 + 3*t**3 + t**2 - 6*t**3 + 129*t.\nAnswer: -3*(t - 11)*(t + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, m: 1, z: 4, c: 7, f: 2}. Give prob of picking 1 c, 1 f, and 1 y.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1494, 4, 3, 2 in decreasing order.\nAnswer: 1494, 4, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.54472 - -0.385.\nAnswer: 0.92972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/130 and -8\/51.\nAnswer: 6630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -12257201 divided by -58091\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*g = -6, g = -2*h + 5 + 6. Suppose -h*f - 12 = -2*q, -2*f = 3*q - 3*f - 5. Sort -13, q, -3, -1.\nAnswer: -13, -3, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -83, -189, -295?\n\"Answer: -106*q + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**3\/5 - 18*l**2\/5 + 4*l = 0.\nAnswer: -10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.159996 and -5.\nAnswer: 0.79998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of z**3\/3 + 35*z**2\/2 - 30*z. Let y be h(-17). What is the greatest common factor of 9 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4237446 to the nearest 100000.\nAnswer: -4200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 29*t**2 - 77*t - 140. What is q(26)?\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.9 + 12. Which is smaller: -0.4 or u?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 136\/12 + 2\/3. What is the remainder when 17 is divided by (w\/(-24))\/((-1)\/20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cfcuhyhrf. Give prob of sequence cry.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 6 - 1)*(-x + 0*x + 0*x).\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and 52586595.\nAnswer: 52586590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1616\/6)\/(6\/18). Suppose -10922 = -26*q + 3482. Let v = m - q. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -6. Let j = v + -7. What is the units digit of (j\/3)\/(1\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 718, 1597, 2476, 3355, 4234?\n\"Answer: 879*w - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(72) + 1)**2.\nAnswer: 60*sqrt(2) + 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -5*b**3 - 2*b + 1. Let p(o) = -o**3 - 5*o**2 - 4*o. Let i be p(-4). Suppose 5 = 5*v - i. Give w(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + -12. Suppose 0 = o - p*o + 28. Suppose 3*g = o*g - 12. Is g a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 divided by 89\nAnswer: 21\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18)\/(sqrt(6) + sqrt(6) + sqrt(36)\/sqrt(6) + sqrt(6)) + 4 + -4)*-4)**2 + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kbbb when four letters picked without replacement from {b: 11, k: 3}?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34.5*0.01.\nAnswer: -0.345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eie when three letters picked without replacement from {i: 2, l: 1, e: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -457098838, -914197679, -1371296510, -1828395325, -2285494118, -2742592883, -3199691614, -3656790305?\n\"Answer: w**3 - w**2 - 457098845*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.027*205\nAnswer: -5.535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 10 = 2*o. Suppose 0 = -4*v - 5*d + o, -3*v - 3*d + 1 = -2*d. Suppose -i + 0*i = v. Solve i - 4 = -k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 3*c**2 - 2*c - 4. Let g be t(-3). What is the second derivative of 4*u - u - 3*u - 2*u**3 - g*u wrt u?\nAnswer: -12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 652, 595, 526, 445?\n\"Answer: -6*r**2 - 39*r + 697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 2114.\nAnswer: -8456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 3*k + k)*(-2*k + 5*k + 4*k)*(-28*k**3 + 36*k + 97*k**3 - 42*k**3).\nAnswer: -378*k**5 - 504*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9943 + 9939 - y**2 - 29821 + 9939.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -6. Suppose -5 = -z*w - 1. Let o be -2 - (-6)\/((-12)\/(-4)). Sort w, -2, o in ascending order.\nAnswer: -2, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2*40\/80)\/(-1 + (-12)\/(-10)). Let d(q) = -2*q - 7. Let b(n) = -1. Calculate t*d(w) - 35*b(w).\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 153.4+2781\nAnswer: 2934.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f + 14*f - f.\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -41416 and 5.\nAnswer: -207080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g. Let s(n) = -109*n - 53. Let c(v) = 54*v + 26. Let t(u) = -9*c(u) - 4*s(u). Let x(q) = -2*q - 1. Let d(z) = -2*t(z) + 44*x(z). Determine d(o(l)).\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + (12 - 14) - (17 - 5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9916 and 30150?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -136\/2069483 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of 194 - z - 195\/4*z**4 + 0*z**2 - 8\/3*z**3. What is the third derivative of t(m) wrt m?\nAnswer: -1170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -1 - (20\/15)\/4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.083 + 2045.083. Let f = 2044.72042 - j. Let g = f - -0.28. What is g rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(117) + 1) - sqrt(117))*-3 + 2 + sqrt(117) + -3*(sqrt(117) - (sqrt(117) - sqrt(117)*-1)) + sqrt(117) + 0 + -5)**2.\nAnswer: -180*sqrt(13) + 2961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, x: 1, y: 6, f: 3, c: 2, h: 3}. Give prob of picking 1 h, 1 y, and 1 x.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 14 + 22. Let q be 6\/(f\/(-6)*-1). Suppose 0 = 5*d - 2*l - 40, d - 5*l = -4*l + 11. What is the greatest common divisor of q and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -154\/401?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 52128 divided by 36\nAnswer: 1448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 344.458248 rounded to the nearest ten?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 20 = -3*z. Suppose -24 + 156 = z*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35648 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1835*k**4 + 3757*k wrt k.\nAnswer: -22020*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*s + 2*m, s + m - 8 = -0*s. Suppose 0 = 4*v + 2*p - 80, 3*p + s = v - 16. Let d = 68 + -50. What is the lowest common multiple of v and d?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 20 = -5. Suppose z - q*j = -4*z + 30, 2*z + j - 1 = 0. Suppose z*n - 3 = 0, -2*m + 25 = 4*n - n. What is the remainder when 20 is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -76 by -155147.\nAnswer: 76\/155147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*x + 3*x - 20*x - 3*x + 7*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*1\/(-6)*9\/27*666?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*v**2 - 1201421874 + 1201421874.\nAnswer: -69*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/5 + 2 + 24\/(-15). Find the second derivative of -6*g - c*g**2 + 5*g**2 + 25*g wrt g.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -214 + 214. Suppose u = 8*t - 399 - 385. Is t a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -10\/5257?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1805654 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(-2 - -5) + 294. Let b = p + -14. Let c be (b\/(-6))\/(2\/5100). Round c to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28 or -602\/19?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30851 - -31327. Is 7 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -4*o**2 + 12*o - 9. Give m(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 2, -1, -3, 68 in decreasing order.\nAnswer: 68, 2, -1, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -3db6?\nAnswer: -3dbb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 88 - 100 + 336 = -2*w + 86, 2 = p + 4*w for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225402134.\nAnswer: 2, 107, 149, 7069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y + 8. Let j be f(-6). What is the third smallest value in 6, j, 1\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 3*z - 13, -j + 7 = -2*z + z. Suppose -16 = -0*h - j*h. What is the third derivative of 2*q - 2*q - 7*q**4 + 2*q**2 + 3*q**h wrt q?\nAnswer: -96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**4 - 8 - 8*a**3 + 21 - 9*a**4 - 3*a - 14 + 8*a**4 as p*a**3 + c*a + n + h*a**4 + b*a**2 and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8, 20, 32, 44?\n\"Answer: 12*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/222396 and -14\/27.\nAnswer: 2001564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 227657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -499 - -514.08. Let b = -15 + s. Let d = -1.92 - b. Which is smaller: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 8*i + 13 - 33, -16 = -2*i + 4*j for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9090, -9757, -10414, -11055, -11674, -12265, -12822?\nAnswer: -13339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - (0 - 2)) + -2. Solve -1 - 4 = x - 2*q, a*q = 3*x + 9 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 165 + -156.1. Let j = -28.1 - s. Which is smaller: j or -1\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**9)**(-13)*((l\/l**(-11))\/l)\/l**(-2\/63) assuming l is positive.\nAnswer: l**(-6676\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 7 (b) -2 (c) 3\/7 (d) 36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 10100000000?\nAnswer: -10100000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6646966861 to the power of 1\/2, to the nearest integer?\nAnswer: 81529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3*z + 2. Let y be b(-9). Let j = y - 24. Suppose -2*q + 196 = 2*w + 3*q, -j*w + 532 = 2*q. Is w a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 2.05. Let u = -555 - -560. What is the closest to 1\/2 in u, -3\/7, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 1, -5\/196?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is c391 (base 13) in base 5?\nAnswer: 1330424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 5*f**3 + 3*f + 15 + 3*f**3 + 5*f**2 - 5*f**2 as j + n*f + s*f**3 + b*f**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5657748 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - 84*w + 1514. Determine o(26).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5574551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.15 or -301?\nAnswer: -301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10 - 3 - 4 - (1 + -3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 2*p + 60 = 0. Suppose -20*f = -17*f - p. Suppose -b - 1 = f, 863 = s + 3*b. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5778099?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 101 + -66. Let l = 75 - i. Suppose -4*t - 4*b + 30 = -2*t, -l = -4*t + 2*b. Does 7 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 349 - 346. Factor 26*z**3 + 12 - 57*z**3 + 13*z + 30*z**i.\nAnswer: -(z - 4)*(z + 1)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*l**4 + 12*l**4 + 11*l**4 + (87 - l - 184 + 82)*(0*l**3 - l**3 + 3*l**3).\nAnswer: 8*l**4 - 30*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -57 or -270\/7?\nAnswer: -270\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 33*t**2 + 263*t - 12. Calculate a(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**3 - p**3 - 2*p**3 - p**3 + 6*p**3 - 4*p**3 + (-p**2 - p**2 + 0*p**2)*(0*p - 4*p + 3*p) + (5*p - 5*p - 2*p)*(2*p**2 - 3*p**2 + 0*p**2).\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 26309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1219130099 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15437189.\nAnswer: 1451, 10639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 12:26 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53 + 16. Let w = -4283.99 + 4321. Let p = l + w. Sort -4, 0.5, p.\nAnswer: -4, p, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, -109, -1, -113, -4, 0.\nAnswer: -113, -109, -48, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -393*o**2 + 1557*o**2 - 385*o**2 - 393*o**2 - 385*o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1026\/17, 0.2, 1, 14038?\nAnswer: 14038","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 108 and 564?\nAnswer: 5076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 585?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 10*n**2 + 10*n - 10. Let m(z) = -z**3 - 3*z - 2. Let f be m(-2). Let x(r) = -4*r**2 - 4*r + 4. Suppose 632*h = 656*h - 120. Give f*x(q) + h*a(q).\nAnswer: 2*q**2 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4 = -0. Let p be ((-72)\/(-42))\/(u\/7). Put p, -3, -5 in descending order.\nAnswer: p, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 222, 356, 488, 618, 746?\nAnswer: 872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4 (b) 1.7 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of v**4 + 34470*v**3 + 1714*v**2 + 3 wrt v.\nAnswer: 24*v + 206820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -2*m**3 + 12*m**2 - 6*m - 20 = 0.\nAnswer: -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 54.45 + -54.35. What is the smallest value in 1, -4, k, 142, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80\/(-15) + (-7 - (-6 - (-54)\/(-9)))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 201011012121 (base 3) to base 5\nAnswer: 44031134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x**2 - 11*x + 11. Let d(g) = -2*g**2 + 10*g - 10. Let l(z) = 3*b(z) + 4*d(z). Let u be (-18)\/15*-5*(-259)\/222. Determine l(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -145 + 313. Let l = k - 81. What are the prime factors of l?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 7*c**2 - 5*c + 7. Let i be a(-6). Let d be i - (15 + -3 - -1). Let k = 8 - d. What is the least common multiple of 2 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 33*g**2 - 3*g + 101. Let b be m(33). Factor 2*q - 13*q**2 + q**b + 6*q**3 - 6*q - 5*q + 12*q**4 + 3*q**5.\nAnswer: 3*q*(q - 1)*(q + 1)**2*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5 and 4.2366 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 + 2*z**2 - 2*z**2 + (0*z - 4*z + 5*z)*(2*z - 6*z + 0*z))*(3 - 2*z**2 - 3).\nAnswer: 10*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17754063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s. Suppose -6 = x + 2*n, n - 2*n - 4 = 0. Suppose 6 + 6 = -4*z, -x*w + 14 = -2*z. Let o(a) = a - 4*a + w*a. What is k(o(m))?\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7493 - 7513. Are 3.1 and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55 + -39 - (-6 + 9 - 30).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 431*g**3 + 6*g**5 - 435*g**3 - g**4 - g**5 + 0*g**3 - 2*g**5 + 0*g**3 + (1 - 1 - 2*g)*(-4*g**4 - 786*g**2 + 786*g**2).\nAnswer: 11*g**5 - g**4 - 4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114 - 44*i**3 + 229 + 46*i**3.\nAnswer: 2*i**3 + 115","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -67.2 rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.055 in -2\/15, -2, -0.038943?\nAnswer: -0.038943","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 11 + 8. Let l = z - -8. Calculate the highest common factor of l and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ixlttttlittlttixitl. Give prob of picking 1 t, 2 l, and 1 x.\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7)\/21 + (-20)\/(-6). Let p be ((-2)\/(-4))\/(b\/1308). Suppose 251 = 2*r + 5*l, -4*l = -5*r + p + 459. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 - 12*p + 10. Let a be l(-8). What is the highest common divisor of a and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + 10*a + 7. Give b(13).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1320 divided by 1637\nAnswer: -1320\/1637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -3912)*-7*(-4)\/56. What is the highest common factor of b and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157038?\nAnswer: 2, 3, 7, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1230 - -10?\nAnswer: -1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 264*t + 17. Let r(v) = -3*v - 6. Let j be r(-3). Is o(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 241 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/3)\/v**5)**(-14)*(((((v\/v**8)\/v)\/v)\/v*v*v*v)\/v*(v**(-7)*v)\/v)\/(v**(-2\/17)\/(v\/(v*v*v**(-2\/5))*v)) assuming v is positive.\nAnswer: v**(15347\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 15 - 3. Let q be (p\/(-5))\/(4\/10). Suppose q*n = -n + 1840000. Round n to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00177898 rounded to 5 dps?\nAnswer: 0.00178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 42*f**2 + 63*f - 290. What are the prime factors of c(-46)?\nAnswer: 2, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = f + 3*g, -312*f + 5*g - 35 = -317*f. Solve 5*x + 0 = -3*a - 16, 0 = -2*x + f*a - 22 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-10)\/(-3))\/((-12)\/(-18)). Solve 4*x = -4*d, -l*x - 3 = 7 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5346 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 1524 = 324. What is the highest common factor of 25 and k?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -u**4\/6 + 77*u. Suppose 3*t + t - 20 = 0. Let r(c) = 2*c + t*c - 4*c. Give r(h(b)).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 43*y - 28*y. What is the third smallest value in 0.4, -3, 6\/5, y?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 112 + -109. Solve -6 = 2*p, -2*j + n*p - 2 = p for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1)*(-3 + 6*l + 3)*(0*l - 3*l + 2*l).\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 6. Let f be 18\/12*8\/3. Let u(x) = -5*x - o + 6*x - 1 + f. Let b(i) = -4*i - 7. Determine -2*b(p) - 7*u(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 97 + -90. Let f(i) be the first derivative of 9*i**2 + 14*i - 2. Is f(p) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.09, 28, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1361821\/308 - -30733\/7. Let v = o - -119\/11. Find the common denominator of v and (-81)\/30 - (-3 - (-25)\/5).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 - (-3 - -6) - 1 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -8 + 130\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of 17*g**6\/15 - g**5\/10 + 3*g**3\/2 + g**2 + 5. What is the third derivative of t(d) wrt d?\nAnswer: 816","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from horkhkhro. What is prob of sequence hhh?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-84)\/42*(-9)\/(-135).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8632)\/(-20) - (-4)\/10. Suppose 0 = h + 5*y - 33, 3*y - 45 = -2*h + 42. Calculate the greatest common factor of h and j.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/4 + 167804*s + 28158182416.\nAnswer: (s + 335608)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.86 + -0.508. Let f = 0.062 - w. Let l = -0.2900072 - f. Round l to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 73 - 69. Let r(k) = k**3 + 6*k**2 + 3*k - 5. Let w be r(-5). Solve u*l - w = -l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mqrqwgw. Give prob of sequence mq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 i when two letters picked without replacement from {i: 1, j: 4, t: 1, l: 6, e: 3, h: 4}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -11*d + 9*d - 2*w, 0 = -10*d + 5*w + 80 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/3)\/(11\/33)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 9*a - 1. Let v be w(-1). Let t = 12 + v. Suppose 0 = 4*f - t*n - 12, 4*n + 4 = 12. Solve -f*r - 25 = r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -1546*q - 1. Let t(c) = 1543*c + 1. Give -3*o(m) - 4*t(m).\nAnswer: -1534*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.3 - 9.7. Let w = 13.9 + h. Which is smaller: 2\/53 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -9*m**2\/7 + 25141*m\/7 + 25150\/7 = 0.\nAnswer: -1, 25150\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from ammaaaa?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -281170, -562447, -843722, -1124995?\n\"Answer: w**2 - 281280*w + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -964 - -967. Sort i, 1\/3, 10.4 in decreasing order.\nAnswer: 10.4, i, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37387481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + sqrt(1377)).\nAnswer: -54*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2347 * 14\nAnswer: -32858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1400204443 (base 5) to base 4\nAnswer: -31123333002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 d when four letters picked without replacement from dhddgdgihdzddh?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 4*a + 65, -r + 0*a - 5*a - 40 = 0. Is -0.1 <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) - (-6*(sqrt(1700) - (sqrt(1700) + -2)) - sqrt(1700)))**2 + (sqrt(1700) - -3*sqrt(1700)*-1))*4 + -4.\nAnswer: 1840*sqrt(17) + 27772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9927 is divided by 9304?\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/80)\/(9\/666) + (-9)\/(-30). Let w(j) = -6*j**3 - 3*j**2 - 2. Let s(p) = p**2. Calculate t*s(h) + w(h).\nAnswer: -6*h**3 + h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ec when two letters picked without replacement from {k: 3, g: 4, c: 1, e: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*d - 12*d - 16*d - 15*d.\nAnswer: -29*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 0 = -10. Let w = -2 + 2. Let j = w - -0.3. Which is the closest to -0.1? (a) q (b) -1\/6 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -3. Let o = 15 - 19. Let q be o\/7 - 75\/(-21). Is w less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 473613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -836413210 rounded to the nearest one hundred thousand?\nAnswer: -836400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/3 and 1\/99832159.\nAnswer: 299496477","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2254*a**4 + 1259*a wrt a?\nAnswer: 27048*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a + 4*a**2 + a. Suppose 30*u - 34*u = -56. Let v(m) = -14 + u + m. What is l(v(j))?\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 a when three letters picked without replacement from hahhhzaahhhahazz.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2475 divided by -165.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 = -5*h - t + 36, 4*h = 2*t - 16 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -415420, -415425, -415434, -415447, -415464?\nAnswer: -415485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14319519*j*z - 29365969*z wrt j.\nAnswer: -14319519*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7\/1*(5 + (-30)\/5). Let t = 46 - 21. Let d = t + u. Does 6 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -39.75.\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 114072742 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1568 + 1565. Put 3, b, -7, 17 in decreasing order.\nAnswer: 17, 3, b, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74793521?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44 - -62. Suppose v*k + 25 = 4*d + 19*k, 0 = 5*d - 5*k. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 27*r**2 - 160*r + 209. Calculate u(19).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24089 + 6527 = -278*f + 9404 for f.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 8:12 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 33 = -3*m, a - 42*m + 11 = -43*m. Let i be ((-22)\/a - 10)\/(-12). Factor -5\/9*l**2 + i + 13\/9*l.\nAnswer: -(l - 3)*(5*l + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 4\/7, 0.03, -0.3, -373?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 16 = -3*s + 7*s, -5*s = -3*g - 13. Suppose t - 24 = s*t. Let d be t\/(-39) - (-148344)\/(-91). Round d to the nearest 100.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 344574*j**3 - 689143*j**3 + 344575*j**3.\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111285 divided by -1.\nAnswer: -111285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.352 + -0.052. Let x = 0.3 + -0.8. What is the closest to -0.3 in 0.08, i, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 351249 at most 702495\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/6 (b) 15 (c) -29213 (d) 4 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.514888 + 2?\nAnswer: -1.514888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60152\/365 - 55) + -110 - ((-39)\/(-50) + -1).\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 108 = -0*k. Let p = 51 - k. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**2\/9 + 41026*r\/3 - 123096 = 0. What is r?\nAnswer: -61548, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-4) + 23\/2. Suppose 0 = g + 3 + s. Let c(z) = -z**3 - 15*z**2 - 15*z + 19. Let a be c(g). What is the highest common factor of 3 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (-6 - (55 + -12 + -9)) - -11\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6366040 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 852.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -3, -5, -8, 241, -122 in decreasing order.\nAnswer: 241, 8, -3, -5, -8, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 151189*d - 302373. Determine m(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - -7 - -18 - -216*5\/(-190)?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47874\/((-2)\/(-2)) + (-5476)\/(-2738)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-2)*0 - (1 + 0 + 6). Sort -8, -2, 0, f, 1 in decreasing order.\nAnswer: 1, 0, -2, f, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m**4\/21 - 336*m**3 + 114470*m**2\/21 - 22048*m\/7 = 0. Calculate m.\nAnswer: 0, 3\/5, 16, 689","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 9\/13 (b) 5 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.1*4727551.\nAnswer: 28838061.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -147.469435 to the nearest integer.\nAnswer: -147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -4*z - 41. Let q be h(-17). Is q less than 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 731890 is divided by 365938?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10460 - 10457. Solve -w = 4*g + 3, 5*w + 7 = j*g + 15 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29778877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - 1 - (0 + 4) - (-64 - (20 + 41))?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-216 - 95 - 377 + 188 - 288)*(0*o**4 - o**4 - o**4).\nAnswer: 1576*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*15\/((-150)\/(-4)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4265 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8590 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7345014 + -6316709311\/860. Let l = -345\/43 + k. Find the common denominator of 49\/16 and l.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((21\/(-1))\/21)\/((-5)\/(-2)*(-72)\/(-1140))\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -14*((45\/(-6))\/5 - -1). What is the remainder when 34 is divided by j - ((-12)\/(-3) + -6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.14 - 19.16. Let y = 16.3 + q. Let d(c) = -2*c**3 - 1. Let a be d(1). What is the closest to -1\/3 in a, y, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 8*l**3 - 320*l**2 - 308*l + 44. Give s(41).\nAnswer: 864","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w. Let v = 4 - 5. Let s be (-2 + -2 + 2)*v. Let u(h) = -3*h**s + h**2 + 0*h**2. Give u(o(c)).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhzzzhqqzpzzt. What is prob of sequence qzhq?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 51552?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 26*i**2 - 307*i - 40. What is the tens digit of y(24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 889931 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1\/8, 0.1, 26, 16\/5 in descending order.\nAnswer: 26, 16\/5, 2, 0.1, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/63 - 41846\/(-52822)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 767 - 767.5. Sort -1\/264, j, -2\/3 in decreasing order.\nAnswer: -1\/264, j, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.051 - -0.045. Round a to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1880809?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -21336*y**3 + 5*y**2 - 7*y - 3. Let s be m(-6). Let u = s - 1768795. What is u rounded to the nearest 100000?\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 28567\/(-637) + 59?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n + 21. Let j be (0 + 0)\/((-2)\/(-2)). Let s be o(j). Let m = s + 25. What is the remainder when m is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 1:40 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(-4) + (-914)\/(-8) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 65 = 5*o, 3*o + 86 = 4*v + 37. Let w be 2\/(-4) - 22\/(-4). Solve 0*y = -w*y - v, -30 = -5*a + 5*y for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1980\/((-1560)\/(-26))*(12\/(-14))\/((-27)\/(-42))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46 + -26 + 15 + -21?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 676 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 220669, 441860, 663063, 884284, 1105529, 1326804?\nAnswer: 1548115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-83*d**4 - 66 + 66)*(17 + 3 + 92).\nAnswer: -9296*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(1331)*2 - ((sqrt(1331) + 1)*5)**2.\nAnswer: -33304 - 528*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a kilogram in grams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 80218125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/7, -16887, -1\/11, -3?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -8*q**2 + 5. Let g(i) = 8*i**2 - 4. Let p(c) = -4*f(c) - 5*g(c). Let u(x) = 26*x. What is u(p(n))?\nAnswer: -208*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g + 5. Suppose -2*p + 28 = -p - 2*o, 3*p - 56 = -o. Suppose -p = -5*k - 0. Determine w(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1111 + 37*b**2 - 410 - 7*b**2 - 412 - 289.\nAnswer: 30*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 2:13 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 416485781?\nAnswer: 349, 1193369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 729c7 (base 13) to base 10\nAnswer: 206005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 979492 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -910 divided by -182.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f - 1104 = 20*f + 37*f for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1))**(1\/3)*(d**(2\/5)\/d)\/d**(-1\/4) assuming d is positive.\nAnswer: d**(-41\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 5*t - 47, -4*g - 5*t = -g - 101. Let l be (-1)\/g*(-102)\/(-1615). Is l smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -166 - -186. Calculate the remainder when 96 is divided by (-11)\/(22\/(-36)) + q\/(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/(-21))\/(-4 + (-172)\/(-42)). Which is the fourth smallest value? (a) 0.2 (b) -3 (c) -20 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 2*q**2 - 1. Let w be u(-1). Let y be 5*(-16)\/(-10)*(1 + w). Suppose -y*p + 5*p + 369 = 0. List the prime factors of p.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**2. Let q(b) = -88*b**2 - 51*b. Calculate q(t(r)).\nAnswer: -352*r**4 - 102*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2085785 is divided by 109774?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.5 + -1.9. Let w = u - 2.41. Let m = 0.91 + w. Round m to 1 decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, e: 7}. What is prob of picking 1 w and 3 e?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3128*m**3 + 2*m - 48648 wrt m.\nAnswer: 9384*m**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240742593?\nAnswer: 3, 7, 13, 17, 17291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2740 = 2*g - 14*r + 12*r, g = -5*r + 1358. Does 6 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/60)\/((-1)\/(-9)). Let o = -19\/93 + -4\/31. Sort k, -3\/4, o.\nAnswer: -3\/4, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 547 + -287. Suppose -35*p + 31*p = z. What is the tens digit of p\/(-2)*(-6)\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000011111011 + 1?\nAnswer: -10000011111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 54534552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4847*r**2 + 4343*r**2 + 4047*r**2.\nAnswer: 13237*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44.48 - -716.92. What is g rounded to the nearest 10?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16137 and 297.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4*r**3 - 5*r**2 + 112*r - 755. Give k(7).\nAnswer: -1588","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 42942 divided by -5?\nAnswer: -42942\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -119? (a) -5 (b) 0.4 (c) -0.1 (d) 25 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**2 - 80*w + 207. Calculate j(-48).\nAnswer: -561","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 22*l**2 + 329*l - 73. Determine i(-15).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5504 (base 11) to base 4.\nAnswer: -1301200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/11 (b) 2 (c) -29 (d) -1 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 4:58 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5348.636 litres to millilitres.\nAnswer: 5348636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 631605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -512*o**5 - 298*o**4 + 894343*o**2.\nAnswer: -30720*o**2 - 7152*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/3*(1 - 3\/6). Let h be u\/(-3) - 289779\/(-63). Round h to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 2*m, 2*p + 4*m - 5 = 11. Let w be ((-2)\/18*-6)\/(p\/(-6)). Solve 0 = i + w*i - 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*d**4 + 17*d**2 + 320*d - 595233 wrt d?\nAnswer: 12*d**3 + 34*d + 320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**9)**49*(u\/(u**(1\/5)\/u)*u**(-5))\/u**33 assuming u is positive.\nAnswer: u**(2024\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1757 and 502.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-126)\/(-12)*(80\/(-12))\/10\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -2. Let y be (0\/2)\/(p + -1). Let m be (2 - 1)*(1 + y). Which is bigger: 2 or m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 577 + -548. Solve -23*d = -b*d - 18 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(((k\/(k*k**(-6)))\/k)\/k)*k\/((k**(-6\/13)*k)\/k*k) assuming k is positive.\nAnswer: k**(-33\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59720 + -3019. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 3*t - 2*t - 11 = 0, -4*x - 7 = -5*t for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0 + (-3 + 4 + 0)*(3 - 1 - 3) + 0 - 2 + 1 - 2 - 3 + 3)*(-j**2 + 17 - 17).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 93144 and 1380?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cecl when four letters picked without replacement from eeeceeecllel.\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9426465 millilitres to litres.\nAnswer: 0.0009426465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.71696 years to centuries.\nAnswer: 0.2171696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - ((17 - 22) + 4 + -30).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 33?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 296534.\nAnswer: 2, 7, 59, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - h - 2 + (-2 + 0 + 4)*(-4*h - 3*h + 4*h) + (0*h + 2*h - 3*h)*(-877 + 915 - 515) + 0 - 2*h + 0 as g*h + i and give g.\nAnswer: 468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 615254440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -12*i**2 - 9*i - 20. Let b(h) = -3*h + 93*h**2 - 10 - h - 99*h**2. Let u(w) = -9*b(w) + 4*t(w). Differentiate u(r) wrt r.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20171 and 1495?\nAnswer: 1311115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 46, -4, 1, -9 in ascending order.\nAnswer: -24, -9, -4, 1, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.89 * 8.\nAnswer: -7.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -j**4\/24 + j**2\/2 + 3*j. Let g(x) be the first derivative of a(x). What is g(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 74732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4462*w + 5871. Let o(d) = 4470*d - 5866. Let k(a) = -2*f(a) - 3*o(a). Differentiate k(y) with respect to y.\nAnswer: -4486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of z**6\/10 + z**4\/24 + 10325*z**2. Calculate a(-2).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -312103 + -3220?\nAnswer: -321323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 12) to base 6\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4 = 6. Let p be v + (1 + -1 - 239). Let i be p\/(-25)*45\/6. Calculate the greatest common divisor of i and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -732\nAnswer: -1\/366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3200 and 2200.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.6 and 58929.\nAnswer: -35357.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -21001 (base 4) in base 6?\nAnswer: -2401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(18) + 0) + -3.\nAnswer: -3 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-2 - (3 - 1 - 5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + (1 - 1*-2). Let i(c) = c**3 + 4*c**2 - 4*c + 2. Let r be i(-5). Let v be ((-5)\/45*r)\/((-1)\/(-9)). Solve -4 = -v*h + k*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133*3 - (-37 - -42)?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 648*a + 13*a**2 + 6*a**2 - 46*a**2 + 17*a**2.\nAnswer: -10*a**2 + 648*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -248906132 + -795.\nAnswer: -248906927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1050007 + 2986351. Let p = g - 4576344. What is p rounded to the nearest 100000?\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0578, -0.656, -1 in decreasing order.\nAnswer: 0.0578, -0.656, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37 by 2463.\nAnswer: -37\/2463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-6)*(-5520)\/(-736).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-21 + 25 + -1 + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -44, 3 in ascending order.\nAnswer: -44, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - 0. Let p = 0.99 + l. Let m = p - 0.054. What is m rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*j**3 + 163*j - 161*j + 41*j**3.\nAnswer: 27*j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f**3 + 220*f**2 - 144*f + 253. Calculate c(-74).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-75)\/100 + (-3)\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 33*f + 168. Determine w(37).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -24 or 69.377?\nAnswer: 69.377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 - 18. Suppose v = -w*v + 11. What are the prime factors of (-15)\/((-10)\/2)*v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3*q**2 + 25*q + 2. Determine u(-12).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20516 divided by 23?\nAnswer: 892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -142, -586, -1332, -2386, -3754, -5442, -7456, -9802?\nAnswer: -12486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 145535 + -415?\nAnswer: 145120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4963105ml in litres?\nAnswer: 0.0004963105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 92 in 9, 1\/15, -1\/2, 3, -0.2, -0.0193?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 210922677?\nAnswer: 3, 7, 1115993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 3:21 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 16 = -0. Suppose j*y = -y. Suppose -2*o + y*o + 10 = 0. Is o even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-24)\/15)\/(8\/40). Let h = -7 - w. What is the third derivative of -12*u**2 + 6 + h - 7 - 7*u**3 wrt u?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3af (base 16) to base 14.\nAnswer: -4b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s. Let m(r) = -1226*r**2 + 3*r + 5. Let y(n) = 1214*n**2 - 2*n - 4. Let a(i) = -2*m(i) - 3*y(i). Determine p(a(t)).\nAnswer: 1190*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 11*p**2 - 4*p - 8. Let j(l) = 4*l**2 - l - 3. What is -8*j(v) + 3*t(v)?\nAnswer: v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 0, -2, -7, 7 in decreasing order.\nAnswer: 7, 0, -2, -7, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 650 + -235. Does 83 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/((-540)\/(-50))*3168\/(-220).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -99599943*c**3 - 108296520*c**2.\nAnswer: -597599658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -651 by -515.\nAnswer: 651\/515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -30 + 1?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of 126*f**5\/5 - 70*f**3\/3 + 114*f. What is the second derivative of a(r) wrt r?\nAnswer: 3024*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48 - -8 - (117 - 158) - -44.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y - 1. Let l be (-2)\/3 - 98\/(-21). Let d be ((-16)\/(-24))\/(l\/(-6)). Let m be v(d). Solve 4*z = m*z + 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2794225427 rounded to 1 decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 306\/65047?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/1097010 and 11\/18360.\nAnswer: 4388040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3*l**2 - 206*l - 1900. Calculate o(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -642975569\/161392 - -521522\/131. Let r = f + 32\/77. Find the common denominator of 51\/(-340)*1780\/36 and r.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -209 divided by 19.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 4*o + 25, 0 = -5*o + v - 1 - 4. Suppose 0 = -o*k - 2*k - 84. Let q = k + 125\/3. Put -4, q, -0.5 in descending order.\nAnswer: q, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2. Let a(w) be the first derivative of 3*w**2\/2 - 5. Let s(u) = -6*u. Let v(k) = -9*a(k) - 4*s(k). Determine y(v(d)).\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/5)\/s**2)\/(s\/(s*s**(1\/3)*s*s))**(-16))\/((s*s\/(s*(s*s**(2\/19)*s)\/s*s)*s)\/(s\/(s*s**(-1\/4))))**29 assuming s is positive.\nAnswer: s**(-33323\/1140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 520.5 to 0 dps.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + 2*r + 2. Let m be t(-3). Suppose d - 3*i - 3 = -12, -5*i + 35 = m*d. Solve d*q + 5 + 1 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.243147 decades in months?\nAnswer: 629.17764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 337 and 144086035?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2657 and 1.02.\nAnswer: 2710.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that z**3\/3 + 299*z**2\/3 - z\/3 - 299\/3 = 0.\nAnswer: -299, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*j - 32*j + 629753 = -465991. Is 13 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 608643620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1623 times 86?\nAnswer: 139578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 2179858\nAnswer: 7\/2179858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 22.51841 millilitres?\nAnswer: 0.02251841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-30)*(-400)\/(-48).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12279 - -12278.3729. What is a rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**2 - 117*o - 84. Let r(s) = 70*s. What is t(r(b))?\nAnswer: -9800*b**2 - 8190*b - 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllljllxjxllll. What is prob of sequence jxx?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -81*l + 54*l + 216 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 3:12 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4483124 or -4483123?\nAnswer: -4483123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)\/(sqrt(16)\/sqrt(36) - sqrt(4)))\/(sqrt(66)\/(sqrt(704)*2)))**2.\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g + g**2 - 3*g)*((4*g - 4*g + g)*(2*g + 2 - 2) + 4*g**2 + 5*g**2 - 2*g**2).\nAnswer: 9*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6.56 and -2.\nAnswer: -13.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1320\/(-664554)*1\/4. Is 0 > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43278 divided by 7?\nAnswer: 43278\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 15 = -55. Let x be (24\/w)\/(-3 - (-33)\/10). Let q be 4\/(-18) + x + (-552)\/(-54). Calculate the greatest common factor of q and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in 2\/1729, 2\/11415, -2?\nAnswer: 2\/1729","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -33535020 (base 6) in base 14?\nAnswer: -1c908c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/4, -1\/5, 34, 0.4, -2\/15?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/7))**(-26)*(b**(1\/2))**(-17))\/((b\/b**(-1\/7)*b\/(b*b**(2\/7)))\/(b**(4\/7)\/(b\/b**(2\/15)*b))) assuming b is positive.\nAnswer: b**(-3797\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7)\/2*(-8 - 260\/(-35)). Suppose 3*b - 16 = -u*y, -2*y = b - 4*y. Solve 3*q = 2*k + 5, -b*k = 3*q - 0*k + 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*q = -21*q - 52*q - 549 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (6468\/42)\/((-98)\/(-28))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.115 + 1.27. Let h = -0.245 + d. What is the closest to 0 in -0.1, h, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*u**2 + 33*u**2 - 18*u**2 - 26 - 2*u)*(9*u - 17*u - 12*u).\nAnswer: 40*u**3 + 40*u**2 + 520*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 97 + -95. Suppose 4*h - 12 = 0, -w*h + h - 26 = -y. Solve 0 = -2*s - 5*o - 20, -5*s - 2*o = -0*s + y for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/220 and 53\/55.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (23*g**2 + 8*g**2 - 7*g**2 + (2*g - 3*g - 2*g)*(g - 3 + 3))*(2 + 6 + 2) in the form i + r*g**2 + k*g and give r.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.66247 centuries to months.\nAnswer: 794.964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + o - 89. Let z be b(9). List the prime factors of ((-4568)\/(-12))\/(6\/9) - z.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 546, -3, -70, 3, 0 in descending order.\nAnswer: 546, 3, 0, -3, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 99\/21 - 2\/(-7). Suppose -2*i - s*q - 16 = 0, 0*i + 4*q = i - 18. Suppose -d - 2*d**5 - i*d**2 + 5*d**2 - 2*d**2 - d**4 + 3*d**3 = 0. Calculate d.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13726452*v**3 + 25*v**2 + 2*v + 55225?\nAnswer: 82358712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5823.87 - 7.50296.\nAnswer: -5831.37296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l - 15. Let a be g(-16). Suppose -11 + a = -2*f. Is 8 a factor of (-7 + f)*15\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1586*y + 164 - 164.\nAnswer: 1586*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - 8*w - 5. Let u = -12 + 5. Let o be l(u). Suppose -24 = -2*c - o*c + 2*t, -c - 4 = 2*t. Solve c*z - 2*z = 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 0 = -y + 3*z, -5*z = 3*y - 19. Suppose 3*n - 26 = -n + 3*j, -2*n + 14 = -2*j. Let l be (-62)\/(-8) + n\/20. Solve 0 = -l*v + y*v - 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 238*n - 2 + 292*n + 0 + 1608*n in the form t + i*n and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6191*z**3 + 4*z - 4*z.\nAnswer: -6191*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1220 + -1199. Solve 0 = 25*h - r*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -19. Let o = -2 + a. Let s(w) = 4*w**2 + 3*w + 1. What is the remainder when s(-2) is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 365*j - 3571 = 6334 + 11006 + 4274 for j.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-1\/6)*s*s**(-7)*s*s)\/((s\/s**(-2\/9))\/(s\/s**(-2))) assuming s is positive.\nAnswer: s**(-25\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32.2 + 32. Let n(v) = -2*v + 8. Let q be n(6). Sort 0.1, b, q.\nAnswer: q, b, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4*r - 2. Let l be f(-1). Let h be (1\/2)\/((-2)\/(-48)). Suppose -5*p + h = -l*p. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61961.\nAnswer: 61961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + n**2 + 1. Let h be k(0). Suppose 4*l = 4*u - 5*u - 18, -5*l = 3*u + 19. What is the common denominator of 26\/7 and -75*u\/8 - h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 246.3 - 249. Let z = v - -2.6999997. Round z to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 1215.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43 - 48. Suppose 8 = -2*q + t - 1, -2*t = -5*q - 21. Which is the biggest value? (a) 1\/4 (b) q (c) f (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 71*j**2. Let x(t) = t**2. Suppose 0 = -102*u - 39*u - 141. Calculate u*p(y) + 6*x(y).\nAnswer: -65*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -33*i**2 - 3*i - 17045. Let v(k) = -8*k. What is v(m(l))?\nAnswer: 264*l**2 + 24*l + 136360","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/4 - 13*a - 169.\nAnswer: -(a + 26)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 3 + 15 = 0. Let y = -3 + 5. Solve 6*f = y*f - m for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 - 19.023. Let o = -0.977 + q. Which is the closest to o? (a) 0.5 (b) 0.2 (c) 1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 8 = p, -3*p + 2*p = 4*a - 12. Let f be ((-12)\/(-8))\/(1\/a). Solve o - 8 = 4*v - v, 2*o - f*v = 13 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 2*x + 18. Let c = 1 + x. Let r be 2*(12\/(-3) + 2). Sort r, -2, c in ascending order.\nAnswer: c, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 8*j**2 + 390*j - 3. Calculate a(-16).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -77*b**3 - 277356*b**2 - 284481*b - 7202.\nAnswer: -(b + 1)*(b + 3601)*(77*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 0*t + 3*t + 21 = 0, -3*y - 4*t = 7. Let n(m) = -38*m**2 - 1179*m - 23. Let v be n(-31). Solve -y*b - v = -3*w - w, 0 = 4*w - 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/((-5856)\/(-476)) + (-17)\/68 and 13\/6.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 136\/3255 + -1\/31. Let c(v) be the second derivative of -32\/21*v**3 + 4\/7*v**4 - 4\/35*v**5 + 0 - 2*v + m*v**6 + 16\/7*v**2. Factor c(n).\nAnswer: 2*(n - 2)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1261830 - -0.8.\nAnswer: -1261829.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 b when three letters picked without replacement from leelkkelellblkb.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -0.1, 0.1, 203, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*z**2 - 3*z**2 - z**2 + (-1 - 5 + 0)*(2*z**2 - 2*z**2 - z**2 + (38 + 2*z - 38)*(-5 + 5 - z)).\nAnswer: 19*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 448\/(-84) - (-3)\/((-9)\/2). Suppose -5*j + 3*t = -1, j - 3*j + 2*t = 2. Let p(l) = 7*l + 9 + 1 + l**j - 4. What is p(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 9*q**5\/2 + 6715*q**4\/2 - 53379*q**3\/2 + 116737*q**2\/2 - 50121*q + 15080 = 0.\nAnswer: -754, 8\/9, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 20 = -2*d - 4*j, 3*d - 10 = 2*j. Suppose -d*t - o = -10, -6*t = -4*t - 2*o. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 625 (b) -3 (c) 2\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 227*m + 9218. Give o(-58).\nAnswer: -3948","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2.4, -24, 3, 1\/9, -2?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 5254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q**2 + 2*q**2 - q**2)*(-22*q**2 + 4 + 2 - 5) in the form a*q + t*q**3 + z*q**4 + i + l*q**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (6 - 0) - 4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q - 4*q - 2 + 5*q - 8*q + 12 - 11.\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**4\/9 - 44*a**3\/3 - 1162*a**2\/3 + 3872*a\/9 + 2408\/3 = 0. Calculate a.\nAnswer: -21, -1, 2, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 6*q**2 + 6*q - 2. Let s be l(5). Solve 2 = s*v - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 7*t - 9. Calculate r(5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.9 + 9.9. Is 0.181 > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 15. Let t = 17 + -11.8. Let m = t + -5. What is the closest to m in 4, 1\/8, l?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o + 5. Let k be z(3). What is the smallest common multiple of 2 and 3\/(-4) + 14\/k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z + 9*z**2 + 442 + 3*z + 3*z.\nAnswer: 9*z**2 + 442","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3250, -3275, -3338, -3457, -3650?\n\"Answer: -3*b**3 - b**2 - b - 3245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -9 - -5 - (-14)\/2. Solve -q = 4*n + 13 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17905 is divided by 1055?\nAnswer: 1025","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2411155, -4822313, -7233471, -9644629, -12055787?\n\"Answer: -2411158*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {g: 2, w: 6}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -4 - 78\/(-12) - 3 - (-7861)\/14 and 9.\nAnswer: 1683","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 205680, 205740, 205840, 205980, 206160, 206380?\nAnswer: 206640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -87*k**3 + 3*k**2 - 4*k + 6. Let y(n) = 86*n**3 - 2*n**2 + 3*n - 4. Give 3*u(t) + 4*y(t).\nAnswer: 83*t**3 + t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175*c**3 - 175*c**3 - 477*c**3 - 246*c**3.\nAnswer: -1073*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -869, -1653, -2431, -3203, -3969, -4729, -5483?\nAnswer: -6231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t - 4. Let m be g(-3). Is m at least as big as 2\/309?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5720 divided by 4.\nAnswer: -1430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.045 - -0.129. What is l rounded to two dps?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 - -35. Sort 4\/3, d, -12 in decreasing order.\nAnswer: d, 4\/3, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -50?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1011*p + 3 + 2 = 10 - 5 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 460 + -439. Determine x, given that -5*x + 3 + 768*x**2 - 385*x**2 + z - 384*x**2 = 0.\nAnswer: -8, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 4. Let h = 9 + k. What is the third derivative of 0*g**3 + 0*g**h - 5*g**5 + 29*g**2 - 31*g**2 wrt g?\nAnswer: -300*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*o + 8*o - 5*o + (3 + 2 - 3)*(2*o - 2*o - o).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(114)\/sqrt(6)*-2)**2*-1 + (-4 + -1 + sqrt(19) + 5)**2)*-1.\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*i**4 - 95004795*i**2 + 13560503*i wrt i?\nAnswer: -36*i**2 - 190009590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/22 and (-2)\/(-8 - (-6048)\/376).\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2 = 10. Let x be (-16 - -4)*(-2)\/g. Calculate the remainder when 26 is divided by (-15)\/x*18\/(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -14, 26, -1, 4, 1 in decreasing order.\nAnswer: 26, 4, 2, 1, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*l = -22307 + 15682 for l.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 1239983412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b**2 + 3. Let y(v) = v**2 + 1. Let h(t) = -j(t) + 4*y(t). Let r be h(-1). Let i be 3 - (2\/r + 1). Put -0.1, -1\/5, i in ascending order.\nAnswer: -1\/5, -0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -o**4\/4 + 7*o**3\/3 - 3*o**2 + 2. What are the prime factors of d(5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 55066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 225596 or 225593?\nAnswer: 225593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 97*g**2 + 10*g + 19. Is z(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 785671 divided by 1\nAnswer: 785671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -5004*t + 90074. Let r be g(18). Suppose -6*y = -2*y + 2*n - 110, -5*y + 5*n + 130 = 0. Suppose 5*f + 7 = y. Solve r*b = f*b - 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(1573) + 2 + 1)**2 + (sqrt(117) - (sqrt(117) + -3*(-2*sqrt(117) + sqrt(117))))\/(sqrt(108)\/sqrt(300) + sqrt(9)).\nAnswer: -93*sqrt(13)\/2 + 1577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-230)\/207*(6\/10)\/(-1)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13211 plus -0.3?\nAnswer: -0.16789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 142 + -80. Is 31 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -37776 - -2?\nAnswer: -37774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -841 + -1?\nAnswer: -842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 714a50 (base 11) in base 13?\nAnswer: 312a4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 2*t - 1. Let o(f) = -f**2 - 9*f + 3. Determine 3*a(c) + o(c).\nAnswer: 3*c**3 - c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 2 - 3 = -3*v, -5*v = -2*m + 11 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssrr when four letters picked without replacement from ssnsrsrssnrssnsrss?\nAnswer: 11\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**3 + d**2 - 5 - 8 + 7*d**2 - 8*d**2 to the form j*d**2 + z*d**3 + x*d + b and give b.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*15 - 2\/(-1). Let n = 174 + -153. Let q = x + n. Solve -3*u + 8 = -5*r - 4, 2*u = -5*r + q for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -q**3\/2 - 3*q**2\/2 - 4*q. What is w(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 594.49 * 0.86\nAnswer: 511.2614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -4*m - 35, 5*c - 7 = 3*m + 12. Let y be -3 - (103\/m - (-4 + 1)). Is y at least 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -3\/8*l**4 - 83*l + 3\/5*l**5 + 0 - 2*l**3 + 9\/4*l**2. Factor o(p).\nAnswer: 3*(p - 1)*(p + 1)*(8*p - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9556967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-5)\/f*f**(-1\/3)*((f**1*f*f*f)\/f)**(-22) assuming f is positive.\nAnswer: f**(-217\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/3 - 564*f - 12138.\nAnswer: 2*(f - 867)*(f + 21)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 h when three letters picked without replacement from hcchcccc?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1415 + -328. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7 - 8 - 6\/(-1). Suppose r*d - 25312 = 12*d. Let j = 6515 + d. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4*w - 15. Let s be f(-5). Suppose t + 34 = -3*i + 96, -44 = -i - s*t. Let l = 37 - i. Is 6 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 s when two letters picked without replacement from snoibbost.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - a - 14*a + a - 7*a - a to c*a + u and give c.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooojjbhjjjoebjoh. What is prob of picking 1 o and 1 e?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 3*o + 45, 10*o - 5*o + 49 = 4*i. Let p be (16 - 6)\/(1*i). Let u = 8 - 5. Is u != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-31)\/124)\/((-9)\/(-6696)*-6)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/3 - 0)*(-12)\/8. Suppose -i = h, 2*t + t - 269 = -2*i. What are the prime factors of t?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -0*b. Let o(x) = -x + 12. Let g be o(b). Let t = 17 - g. Solve -4*d - d + t = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f**4 + 165*f**3 - 345*f**2 + 175*f = 0. What is f?\nAnswer: -35, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1674, -3347, -5022, -6705, -8402, -10119, -11862?\nAnswer: -13637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 287 a factor of 1006582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3260600 * -2.\nAnswer: -6521200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k - 1. Let d(h) = 1. Let g(i) = -6*d(i) + 3*f(i). Is 17 a factor of g(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of c**8\/1680 - c**6\/90 + c**3 - 4*c**2. Let w(u) be the first derivative of n(u). Find the third derivative of w(d) wrt d.\nAnswer: 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 313 - 311. Suppose 2*o - 56 = -5*n, -m*o + n + 42 = -o. List the prime factors of o.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102 + 10139018\/(-99066) + 4\/11.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53 - 47. Let x(a) = 6*a. Let m be x(1). Is v at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 30a - -155980?\nAnswer: 15618a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10764434 a multiple of 814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 0. Let k be -2 + (-1)\/(y\/8). Let d = 1 + k. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 248 divide 27029051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 3) + -6 - 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2073861367 to the nearest integer?\nAnswer: 45540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(132)*-2)\/(1*sqrt(432) + sqrt(432) + sqrt(432)).\nAnswer: 2*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*q = 93*q - 8*q - 188188. List the prime factors of q.\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25128 to the power of 1\/2, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b + 25933b3?\nAnswer: 25933be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a day in seconds?\nAnswer: 10368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -4*q + 8. Let s be (-124)\/(-3) - 68\/(-102). Suppose -23*t + s = -17*t. What is g(t)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 195*h + 2*h**2 - 5*h**2 + 654*h - 213*h + 5*h**2.\nAnswer: 2*h**2 + 636*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 362 and 18824.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 13. Let r be (0 - f)*2*(-4)\/(-12). Suppose 0 = -t + 4*g, r*g - 10 = -4*t + 2*t. Solve 2*s - 4*w - 6 = 0, -w = t*s - 0*s - 21 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (8 + 9 + -31).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 243*t**4 + 27108*t**3 + 279516*t**2 - 128256*t + 14400 = 0.\nAnswer: -100, -12, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 1535*n + 171. Let p be m(9). Suppose 4*l = -2*i + 4*i + p, -3*i = -3*l + 10488. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/5)*a*a**(3\/11))\/((a\/(a\/a**(-2\/43)))\/a**(-8)) assuming a is positive.\nAnswer: a**(-14854\/2365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -330256 (base 16) to base 13\nAnswer: -90078a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2000\/(-32) + 63)\/(1\/(-56)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5, -115, -461, -1175, -2389?\n\"Answer: -22*j**3 + 14*j**2 + 2*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.93 + 1.07. Let u = 17.83 - -0.17. Let d = -18 + u. Which is the nearest to d? (a) o (b) 0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.39 - -4.8. Let r = v + -0.41000065. Round r to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 17 = 4*o - 3*h, -4*h - 8 = 2*o. What is the units digit of (26\/(o\/(-2)))\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 10:15 AM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of l**6\/180 + 2*l**5\/15 + 37*l**3\/3 - 4. Let f(o) be the third derivative of c(o). Factor f(z).\nAnswer: 2*z*(z + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -f**7\/840 + f**6\/120 - f**5\/60 - f**4\/24 + f**3\/2 - 2*f**2. Let w(y) be the first derivative of c(y). Give w(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -123.95 - -92. Let n = d - -32. Which is the nearest to n? (a) -1\/2 (b) 1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) - (sqrt(110)*-1 - sqrt(110))*2 - 3*(sqrt(110)*1 - sqrt(110)))\/(sqrt(810) + 1*sqrt(810)*-2).\nAnswer: -5*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -3. Let q(g) = -2*g**3 - g**2 + g. Let l be q(c). Let a(t) = 2*t**2 + t + 1. Give a(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1))**2\/(j**(-1\/4))**(-10))\/((j**1)**(-47))**(-38) assuming j is positive.\nAnswer: j**(-3581\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 75*l - 173 with respect to l.\nAnswer: 75","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0801 - -0.5071. Let h = u + -0.027. Let v be (-21 + 6)*(-2)\/6. Put h, 2\/9, v, 1\/11 in descending order.\nAnswer: v, h, 2\/9, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 7*p - 4. Let o be n(6). Let d(j) = -j**3 + 2*j**2 + 2. Let g be d(o). Factor 0 + 2\/5*x**g + 0*x.\nAnswer: 2*x**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/4 and 12\/268535.\nAnswer: 1074140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q + 535. Determine c(107).\nAnswer: 749","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18364468*w**2 - 12889589*w?\nAnswer: -36728936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/35640 and 37\/11880.\nAnswer: 35640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 475246544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -1015*y**3 + 4*y**2 + 19*y - 63. Is s(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -1 - 10\/160*8\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/8 + (-481)\/4. Suppose 3*g - 2*g = 283. Let j = g + a. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 7:53 PM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29.7 + 31.7. Sort h, 78, -4\/5 in increasing order.\nAnswer: -4\/5, h, 78","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 701821 a multiple of 269?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 22\/(-55) - 308\/(-370). Let i = b + -28\/407. Let j = -7 + 7. Is j > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110011 - -110001?\nAnswer: 1100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 3*u = -18, u - 5*u - 24 = -2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8360?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -183 + 323. Let v = j + -127. Let i = 1 - 1.1. Do i and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 5*q**2 - 5*q + 6. Let w be x(-2). Suppose -5*u + 3*i = -2*i - 425, -2*u - 3*i + 195 = 0. What is the highest common divisor of w and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjrrnrnnrrrrp. What is prob of picking 1 p and 1 r?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 71 - 67. Solve -4*b + 5 + 19 = -w, n = -w for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -2*p**5 - p**4\/6 + 39*p**2\/2 - 109*p + 2. Differentiate l(y) wrt y.\nAnswer: -120*y**2 - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2574*r + 8550*r + 7629*r as g + u*r and give u.\nAnswer: 18753","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 9*b**4\/5 - 34*b**3\/5 - 8*b**2\/5 = 0.\nAnswer: -2\/9, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/43 and 34\/15745.\nAnswer: 677035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 2:25 AM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/12 + (-5)\/2 + 7\/(-28). Put 4, -6\/13, 0.4, t, 5 in descending order.\nAnswer: 5, 4, 0.4, -6\/13, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4192916*m**4 - 76*m**2 - 49852169.\nAnswer: -16771664*m**3 - 152*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 4*j - 24, 5*j - 2*j + 21 = 3*q. Let v be (1 - q)*(-30)\/10. Let g(x) = 1 - v + 1 + 5*x - 1. Let m(z) = -9*z + 4. Determine 11*g(h) + 6*m(h).\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5406 and 408?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -4 (b) 24 (c) 1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 218, 320, 372, 434, 566, 828, 1280, 1982?\nAnswer: 2994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/4212 and -58\/1053.\nAnswer: 4212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37447.082 - 37379. Let y = m - 0.082. Let z = 64 - y. Which is the fourth smallest value? (a) 3\/2 (b) -0.4 (c) -1 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (9 - 3 - 6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63 + -41 + 19 - 44.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 5*o. Let g = 6 - 4. Suppose o = g*y + y - 1923. Is y 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 56 and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) - (sqrt(95) - -6*1*sqrt(95))) + (sqrt(95) + sqrt(95)*1*2 - sqrt(95)))\/((sqrt(4500)*2 + sqrt(45))\/(sqrt(144)*-3 + sqrt(9))).\nAnswer: 44*sqrt(19)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.1 (b) -35\/4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(245) + -3) + -5 + -3)**2 + (-1*1*(sqrt(245) + -5 + sqrt(245)) + -2)**2.\nAnswer: -14*sqrt(5) + 1259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-10)\/(-4) + 1515\/30 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/913542 and -61\/1596.\nAnswer: 34714596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -91.9 - -92. Put t, -4, -2, 0.09 in increasing order.\nAnswer: -4, -2, 0.09, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 34 = 2. Find the common denominator of 25\/7 and -3 - (0 - 165\/a).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 23*j + 8\/3*j**4 - 38\/3*j**2 - 8*j**3 + j**5 - 6 = 0. Calculate j.\nAnswer: -3, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 53\/5 of a kilogram?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 1341084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22\/3*12\/8 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19388 - -3.\nAnswer: -19385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 1273*h**6\/6 - 424*h**2 + 2467. What is the second derivative of y(n) wrt n?\nAnswer: 25460*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 10:59 PM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 6*r**2. Let y(g) = 6*g**2 - 11*g**2 + 10*g**2. Give q(y(s)).\nAnswer: 150*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -513, -1028, -1541, -2052?\nAnswer: -2561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 1304960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 43 - 322?\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*j**3 - 13*j**4 + 21*j**3 + 16*j**3)*(-2 + 5 - 2).\nAnswer: -13*j**4 + j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1245 is divided by 96.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 185390971 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 321, 5, -495, 20.\nAnswer: -495, 5, 20, 321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddppppdppdppppmdd. Give prob of sequence dp.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1145*x = -10935 + 38530 + 28510 for x.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*d - 7015 = -80*d. Suppose -5*r - u = -95, 2*r - 3*u = -0*r + 21. What is the remainder when d is divided by r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k. Let d(u) = -u**2 - 3*u - 1. Let l be d(-2). Calculate the remainder when t(l) is divided by 1\/3 + 6\/9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-31)*p*p**(1\/6)*p**(6\/5)*p\/((p\/p**31)\/p*p) assuming p is positive.\nAnswer: p**(71\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -916 and -0.53751.\nAnswer: 492.35916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*s**3 - 5658708 + 5658708.\nAnswer: -28*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5a + -73?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 28 - 6 = 4*z, 5*z - 35 = -5*y for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -664?\nAnswer: 665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -7961480 to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-41)\/(-6) + (-7)\/(-42). Let t(k) = 3*k + 1. Does 11 divide t(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1380156 is divided by 49?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + w = -101, 0 = -s + 2*w - 0*w + 42. Let z(t) = 4*t + 50. Let p be z(-12). Suppose p - s = -3*b. Is b a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 563298.\nAnswer: 2, 3, 223, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -305499484 in ascending order.\nAnswer: -305499484, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -49695 and 1789\/8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3296, -6572, -9808, -12980, -16064?\n\"Answer: 4*i**3 - 4*i**2 - 3292*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/2)\/(114\/(-12) - -10). Solve 5*v = 10*v + 5*s, -g*s = -4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(51)\/(-2*(sqrt(3) + sqrt(15)\/sqrt(5))))**2 + ((3*(sqrt(102) - sqrt(102)*1))\/sqrt(6))**2).\nAnswer: -85\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.09 and -6.82.\nAnswer: -6.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 57*g + 5483. Let n be t(0). Round n to the nearest one hundred.\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 239.184us?\nAnswer: 0.000239184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x - 3. Let q be c(-8). Let o be (-2)\/q + 108\/45. What is the derivative of 6*t**o + 7 + 14*t**2 + 25 - 6 wrt t?\nAnswer: 40*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of 37*c**3\/6 - 39*c**2\/2 + 10*c + 20. Let o(j) be the first derivative of z(j). What is the first derivative of o(u) wrt u?\nAnswer: 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = n - 9, 3 = 5*x - 3*n - n. Let l(d) = d**2 + 6*d - 5. Let f be l(-7). Solve -x = o - f for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/5 (b) -6 (c) 20 (d) -1 (e) 1\/49 (f) -0.003 (g) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/6857 - -54878\/75427. Factor -8\/11*v - 2\/11*v**2 - x.\nAnswer: -2*(v + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m - 2. Let q(t) = 119*t + 6. Calculate -2*q(s) - 6*r(s).\nAnswer: -226*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3 + 858*a**2 + 144921*a - 17596880.\nAnswer: (a - 80)*(a + 469)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -50.85159 less than 179578169?\nAnswer: 179578219.85159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -2 - (-68 + 67)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86246, -172438, -258648, -344876, -431122, -517386?\nAnswer: -603668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 4118478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 6*u + 3. Let c be a(-6). Suppose c*y + 40 = 8*y. Calculate the highest common divisor of 1 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (-11 - -7)) + -8 + 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -4*s**2 + 2*s. Let z(t) = 9*t**2 - 4*t + 1. What is -5*m(x) - 2*z(x)?\nAnswer: 2*x**2 - 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tnlgttvtttltvuuvvll. What is prob of picking 1 u and 2 l?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43522?\nAnswer: 2, 47, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 201 + (-128 - -49) + -153.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1186174?\nAnswer: 2, 11, 53917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 131061 to the power of 1\/2, to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**4\/3 - 3715912*w**3 + 15534013388444*w**2\/3 - 10355997777896*w + 15533991092978\/3 = 0. Calculate w.\nAnswer: 1, 2786933","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(0 + 1) + 7 + -3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 429 is divided by 227.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (14 + -13)*2\/(-14)*(-105)\/6. What is the closest to -0.1 in 1, 2\/13, -4, b?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 3*y + 8, -5*y + y = -2*l + 8. Suppose l*r - 20 = 2*c, -5*r = c - 2*r - 15. Is 6 < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of -k**5\/30 + 2*k**2 - 3. Let p(m) = 21*m. Calculate p(v(g)).\nAnswer: -42*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 + 3 + 3)*5\/(-2). Let h be (((-16)\/w)\/(-2))\/(1\/(-20)). Calculate the highest common divisor of 8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l - 9. Let z be n(-9). Suppose 2*t + z*t = 4. Solve -2*k = 5*o + 16, t*o + 11 = -2*o - k for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*3\/10 + (-1188)\/(-180). Suppose -b + 4*b - 102 = 0. Calculate the remainder when b is divided by ((72\/(-3))\/4)\/((-4)\/r).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(-5 + (-10)\/5) + -3. Let j(c) = 0*c**2 + c**2 - c**2 + 1 + c**2 + 2*c. Is 25 a factor of j(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35331?\nAnswer: 3, 11777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (24\/(-36))\/((-2)\/3). Suppose 0 = -o + 1. Let y be ((-3)\/(-1)*o)\/f. Solve -2*r + 2 = 4*k - 0, 4*r - y*k = 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -8. Suppose 2 - 2*q**3 + q**4 + q**3 - u*q + 5*q**3 - 3*q**4 = 0. Calculate q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -18*z + 93. Give h(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 12*o - 39. Determine p(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, 2\/25, -3, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2028705 and -224.\nAnswer: -2028929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1382*j + 178*j + 3 - 119*j - 366*j.\nAnswer: 1075*j + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of -73*d**6\/24 - d**5\/60 + 49*d**3\/6 + 197*d**2 + 2. What is the third derivative of f(x) wrt x?\nAnswer: -2190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.069226 + 0.07. Round f to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265288217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-4)*h**4*(h*h\/(h**(-1)\/h))**(-6) assuming h is positive.\nAnswer: h**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22 + 13331023?\nAnswer: 13331111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -48 (base 10) to base 4.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-22 + 24 - 1)*(2733 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 856 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 2\/(-1)) + -4. Suppose 0 = -i + 2*i + m, h = i + 3*m + 8. Suppose 5*s + i*g + 55 = 227, 3*s - g = 93. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-29757117)\/(-1304) + 42\/80 + 4\/(-10)?\nAnswer: 2, 5, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-64)\/20)\/(6\/(-15)). Suppose -v + 4 = -7*c + 3*c, c + r = 2*v. What is the third derivative of 4*d**4 - v*d**4 - 4*d**2 + 5*d**5 wrt d?\nAnswer: 300*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 i when four letters picked without replacement from vvydiyvivvvdiid?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 + 5*o + 9923. Give v(102).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/33 (b) 3\/5 (c) 9.3 (d) -2\/3 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 1 + -8 - -5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 43431238 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**2 + 28*t - 31. Let w = -21644 - -21657. What is s(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1300, -2586, -3912, -5296, -6756, -8310?\n\"Answer: -3*i**3 - 2*i**2 - 1259*i - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6714 + -6715. Which is the closest to t? (a) -4 (b) 7 (c) -0.1 (d) 4\/41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -513 divided by -6\nAnswer: 171\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-290)\/(-783)*54\/720.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a kilometer in meters?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 159804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 12\/14*(-630)\/(-135)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 3557 + 6793. Suppose -g = 15*z - 6*z. Round z to the nearest ten.\nAnswer: -580","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + 233*f + 10102. Determine g(-188).\nAnswer: 1642","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5145 + -51\nAnswer: -5196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 11*l - 18. Let b(u) = -5*u + 8. Let q(d) = 9*b(d) + 4*j(d). Let o(z) = -490*z**2. What is q(o(m))?\nAnswer: 490*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 0*q + q + 107 = 0, 39 = c - q. Let p = -100\/3 + c. What is the nearest to p in -6, -0.2, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_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: Let f = 396 + -171. Let t = -224.99999714 + f. Round t to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 21 = 2*i, i + 4*g - g = 17. Differentiate 18*r**2 - 73*r**2 + 23*r**2 + 8 + 23*r**2 - i*r with respect to r.\nAnswer: -18*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 46, 4, 2, -5, -1568 in descending order.\nAnswer: 46, 4, 2, -1, -5, -1568","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-5))\/((-4)\/(-80)). Suppose -o - 34 = -26. Is k at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (66\/21)\/(30\/(-420))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -52 (base 11) to base 14\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.048 and -202?\nAnswer: -9.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 2*p - p)*(-1 + 0 - 1) - p + 2*p - 3*p + 6*p - 29*p - 2*p + (1 - 1 + 9)*(3*p + 0*p + 0*p).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -18 (b) 2 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -266, -529, -770, -983, -1162, -1301, -1394, -1435?\nAnswer: -1418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, 3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x + 12. Let w(j) = -7*j - 30. Let c(a) = 5*m(a) + 2*w(a). Let g(b) = -4*b + 12. Let l(i) = 3*i - 14. Let t(r) = -2*g(r) - 3*l(r). What is t(c(s))?\nAnswer: -s + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hbnt when four letters picked without replacement from {a: 2, b: 3, n: 3, t: 3, h: 2}?\nAnswer: 9\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 8 = 6*a. Calculate the common denominator of a and (-70)\/(-250)*10\/4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + (-324)\/84)\/((-5)\/((-35)\/(-6))).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -4*u + 24. Let z be j(6). Suppose 413887 - 21891 = -4*v - 2*n, 4*v - n + 392002 = z. Round v to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a millennium in months?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o + o - 2*o)*(2*o**2 - 2*o**3 - 2*o**2) - 2*o**4 + 1 - 1 - o**4 - 3*o**4 - o**4 - o**4 - o**4 + 0*o**4 + o**4 + 0*o**4 + o**4.\nAnswer: -11*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2 + 6*q + 4. Let j be i(0). Which is greater: 2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and (-12)\/((-72)\/(-66)) - -47?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 9*l - 4*l. Let s(m) = -m**3 - 7*m**2 - 14*m - 9. Is s(l) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45247482 to the nearest integer?\nAnswer: 6727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -575388 by -6.\nAnswer: 95898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001101 rounded to six decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3 - 15 = -4*o, 4*v = -5*o + 33. Suppose -r = -o*r + 4. Let f(u) = -u**3 + 4*u**2 + 7*u - 8. Let j be f(5). Which is greater: j or r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2*y = -134, -15 = y - 6*y. Is 5 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 860\/70 - 2\/7. Let v = 26 - o. What is the greatest common divisor of 7 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*n - 1. Suppose -3*r + 6*r = -6. Which is the nearest to n? (a) 0.5 (b) r (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 334 = 2*d, 3 = -d + 5. What are the prime factors of t?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1184\/21 - 59. What is the common denominator of -19\/42 and q?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (17 - -1) + (-3)\/(-3). Let w = v + -18. Do w and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 361, 351, 345, 349, 369, 411, 481, 585?\nAnswer: 729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -2*c**3 - 18106*c**2 - 40933102*c + 205118410 = 0.\nAnswer: -4529, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of -v**6\/60 + v**4\/8 - v**3\/2 - 555*v**2. Determine i(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 284324.\nAnswer: 5\/142162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 5*h - 5. Let q(y) = -22*y**2. Calculate z(q(s)).\nAnswer: -110*s**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*f**2 + 2561 + 62*f - 2561)*(90 - 15*f**3 - 2*f**2 - 90).\nAnswer: 105*f**5 - 916*f**4 - 124*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 8 = 2*q + a, 5*q = 2*a + 28. Let x = q - -1. Let m be (4 + -3)\/(1\/x). Solve -5*t = m*w + 3 + 7, -3*w - t = 8 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9\/41 or -1?\nAnswer: 9\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.773 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k - 3 = -13*k + 6*k + 5*g, 2*k + 5*g - 6 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -7405.2 to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97430278 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-332)\/(-6)*3\/42. Let y = j - 11\/3. What is the biggest value in 3, y, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7430 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3915*r**3 - 3*r**2 + 12*r + 19. Is n(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 876, 1426, 1972, 2514?\nAnswer: 3052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -111.6 - -107. Let u = -1.61 - 0.19. Let j = c - u. Sort j, -0.1, 0.5 in descending order.\nAnswer: 0.5, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42.64 - -43.7. Let z = -15.94 - -16. Let x = v - z. Which is smaller: -48 or x?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.06 - 8. Let r = 0.26 - u. Which is the second smallest value? (a) -0.2 (b) r (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -130673, -522720, -1176135, -2090918?\n\"Answer: -130684*j**2 + 5*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 7 = 5*i. Let d(z) = z - 2. Let r be d(i). Suppose v + r*v = 56. What is the least common multiple of 8 and v?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k. Let g(q) = q**3 - 7*q**2 + 7*q + 12. Let f(j) = -g(j) - 4*w(j). Let o be f(5). Calculate the highest common factor of 115 and o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h + 8 - 12 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide ((-308)\/8)\/(-3*2\/180)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-252 - 638 + 542)*(-1 - 2 + 1)*(p**2 - p**2 - p**2).\nAnswer: -696*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 56*((-8307)\/(-78))\/71*(-2)\/6?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17441\/680 - 405\/17. Calculate the common denominator of -99\/284 and k.\nAnswer: 2840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t + 2. Let q(z) = -1. Let y(w) = -w**3 + 5*w**2 - 2 + 0*w**2 + w**2. Let c be y(6). Let l(f) = c*q(f) - o(f). Let r(k) = k**2. Determine r(l(v)).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by -99520.\nAnswer: 11\/99520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -543\/5 - -109. Let g(l) = l**3 - 16*l**2. Suppose -14 - 2 = -j. Let n be g(j). Which is smaller: p or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 - (19 + -10) - 7\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 8733679?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -4*63\/(-45)*(-1565)\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of 36*c**5\/5 + 24*c - 12. Differentiate d(l) with respect to l.\nAnswer: 144*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/(1 - 2) - -14?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-7)*f)\/f**(-2\/5))\/(f**2*f**(-2\/13)) assuming f is positive.\nAnswer: f**(-419\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 349*s - 352*s - 3*g + 18, 4*g = -3*s + 20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/16)\/((-33)\/(-55))*152856\/42460.\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18101.096818 + -0.5?\nAnswer: 18100.596818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -82.614 - -0.014. Let i = j + 82.2. Which is bigger: i or 7\/9?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + -3)*(3 + 71). Let z = -62 - c. Calculate the least common multiple of 12 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that r**5\/4 - 9*r**4 + 101*r**3 - 336*r**2 = 0.\nAnswer: 0, 6, 14, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 389224957 and 6303?\nAnswer: 2101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2656 less than 6122952?\nAnswer: 6125608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 151361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 801.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of -1\/420*h**7 + 5*h**2 + 0*h**3 + 1\/240*h**6 + 0*h + 0*h**4 + 0*h**5 + 0. Suppose p(z) = 0. Calculate z.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 1 - j**3 + 6 + 3*j - 2*j. Let y = -26 + 22. Let f be 0\/(y + 6)*1. Give s(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12839*v**2 + 2*v**3 - 12825*v**2 + 38498*v**2 - 12834*v**2.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of -35*h**2\/2 - 26*h + 14. Let p be w(-4). What is the highest common factor of p and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**4*f*f\/((f*f\/(f*(f*f**(1\/5)*f)\/f))\/f)*f*(f**(-1))**(-12\/13)*((f\/(f*f**6\/f*f))\/(f\/(f\/(f\/(f*(f**(-2\/17)\/f)\/f*f)))))**(-32) assuming f is positive.\nAnswer: f**(261761\/1105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, 5, 4, -148 in descending order.\nAnswer: 5, 4, -3\/8, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 + (184\/(-20) - -4))\/(48\/(-64)). Which is greater: h or 1.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 + 7*q - 7. Let y be g(4). What is the nearest to 0 in 0.5, -0.1, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 13*f + 5 + 2)*(f**3 - 6*f**3 + 2*f**3).\nAnswer: 39*f**4 - 6*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 463 is divided by 450.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u. Let h(g) = -71*g + 27. Let y(x) = -23 + 5*x - 23*x + 29. Let a(l) = 4*h(l) - 18*y(l). Determine w(a(b)).\nAnswer: 40*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 147554?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 4780*s + 28. Let f(y) = -4781*y - 37. Give 3*f(k) + 4*q(k).\nAnswer: 4777*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -35*k**3\/3 + 5*k**2\/2 - 938*k - 4756. What is the derivative of o(t) wrt t?\nAnswer: -70*t + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 3465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + -13. What is the common denominator of -2 + -1 + 28\/r and (15\/(-20))\/(20\/(-224))?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + 6*q - 12. Let s be u(2). Calculate the remainder when 87 is divided by -23*(-4 + (-16)\/s - 1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8, -38, -84, -152, -248, -378, -548?\n\"Answer: -h**3 - 2*h**2 - 17*h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 6*t - 2. Let m be 12\/(-9) - (1794\/(-9) - 0). Suppose -8 = -m*b + 196*b. Determine q(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51 + 320. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**4 - 72307*t**3 + 43733947*t**2\/3 + 29228273*t\/3 + 1625132 = 0. Calculate t.\nAnswer: -1\/3, 204, 23899","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {c: 4, r: 3, k: 9}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -4*j**2 + 274*j + 145. Let b be q(69). Let m(w) = 2*w**2 - 2*w - 13. Let a(l) = 6*l**2 - 7*l - 40. Calculate b*m(s) - 2*a(s).\nAnswer: 2*s**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 n when four letters picked without replacement from nufuunnunn.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16121\/1768 - -3\/442. Suppose -5 = 5*m, 4*k + k + 5*m = 215. What is the common denominator of k and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -241, 1349, 5671, 14093, 27983, 48709, 77639, 116141?\nAnswer: 165583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 26*q - 26. Give d(25).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/20 - 115971\/15. Let g = -216049293\/14 + 15424366. Let x = g - i. What is the common denominator of 103\/14 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -5. Let a(t) be the first derivative of 1\/2*t**2 - 9 + 14*t. Determine -3*a(m) - 8*d(m).\nAnswer: -3*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 184957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -0*i - 27. What is the remainder when 74\/3 + 1\/3 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3363*w - 3 = 3362*w. Let r = 1 + -0.2. Let x = r - 0.5. Which is the second biggest value? (a) x (b) 11 (c) -1 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5912 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 108 and 38037?\nAnswer: 1369332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 5 (c) -244 (d) 74.74\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of 3\/2*q**2 + 5*q + 86 - 5\/3*q**3. What is the second derivative of j(v) wrt v?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.5 + 0.36. Let l = 0.06 - x. Let r be ((-2)\/(-6))\/(2\/6). What is the nearest to 1\/4 in l, -4, r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*c - 56342 - 40005. Let h be 106\/(-48)*(-7590)\/(-4). Let l = h - c. What is the common denominator of 27\/16 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 44285368, 44285365, 44285362, 44285359, 44285356, 44285353?\n\"Answer: -3*s + 44285371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**28\/a)**(-18) assuming a is positive.\nAnswer: a**(-486)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -54*k**3 + k**2 + 3*k + 57*k**3 + k**2 in the form p*k**3 + b*k + q*k**2 + w and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 28 = r + 3*r, -2*q + 47 = -6*q - 2*r - 3*r for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 399.\nAnswer: -2\/399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252)*-2 - (1*sqrt(343) - sqrt(7))) + 6*(2 + sqrt(448)))**2 + -1.\nAnswer: 720*sqrt(7) + 6443","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s - 6. Determine n(-5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.7 and -27937.\nAnswer: -47492.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/164 and -9\/32.\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -2\/5 (c) -4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -136146 + 136149. Let v = 0 + 1. What is the closest to 0.2 in -6, v, s?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/3, 4\/3, -3, -38308, 31?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.26488 - -17.5.\nAnswer: 17.76488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -110*v + 5834. Let u be z(53). Let g(i) = 36*i + 6. Let t(q) = q + q - 7*q - 2*q - 1. What is u*g(d) + 21*t(d)?\nAnswer: -3*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/112 and -129\/140?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 6*i**2 - i - 2. Let k(b) = -b**2 - 3*b + 4. Let m be k(-3). Let o be (6\/4)\/((-2)\/4). Let r(z) = 5*z**2 - z - 2. Give m*r(p) + o*h(p).\nAnswer: 2*p**2 - p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 26262361 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 29577200 to the nearest one hundred thousand.\nAnswer: 29600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q. Let z(x) be the second derivative of 0 + 13*x + 0*x**3 + 0*x**2 - 1\/6*x**4. Give z(u(s)).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -36, -29, -22, -15, -8, -1?\n\"Answer: 7*v - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16294*w**4*x**2 - 3*w*x**2 + 3*x**2 - 271*x - 2 wrt w.\nAnswer: -65176*w**3*x**2 - 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 76 + 48 = 0. Suppose 5*s - 191 = -w. What is the highest common divisor of s and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - z - 3. Let l be h(2). Which is the nearest to l? (a) -0.01 (b) 2\/9 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1164 and 170448594.\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by -117686.\nAnswer: -11\/117686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a**2 + a. Let p be -4 + (12 - 2) + 3. Suppose p + 0 = -9*j. Determine x(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -b4?\nAnswer: b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 7:28 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*z**2 - 3*z**2 + 11*z**2.\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 5.112?\nAnswer: 0.112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11036892 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l + 38. Let p be z(17). What is the derivative of -p - j**3 + 6*j**3 - 4*j**3 - 2 wrt j?\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.32 less than -22?\nAnswer: -23.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9.3 - -2. Let x = l + 7. Is 1\/14 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o - 785572 = q, -7*q - 214280 = -3*o - 2*q. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/125738 and -83\/26?\nAnswer: 1634594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + b. Let x(w) = -4*w**2 - 15*w + 10. Let a(g) = 5*i(g) + x(g). Let o be a(9). Let p(z) = 4 - o - z - 3. What is p(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96718*t - 8*t**2 + 96686*t + 5 - 5 - 193404*t.\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11201 - -20?\nAnswer: -11121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7772669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8050 is divided by 4022.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of 0*l + 1\/2*l**2 - 14. What is a(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4596701*-0.21.\nAnswer: -965307.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 1)*(-1 + 2 + 1)*(-6*y**2 + y**2 - 4*y**2) to a*y + i + n*y**2 and give n.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*s - 9*s - 58752 = 0. Does 8 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18317858 and 12922.\nAnswer: 1846","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s + 4. Suppose -3*v - 8 = -2*k + 6, -2*v = 3*k - 21. Suppose -9*y = -k*y - 442. Let x be (-637)\/y - 4\/34. What is r(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2192042 (base 11) in base 8?\nAnswer: 16511272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -13*z**3 + 5*z**2 + 4*z + 1. Let j(g) = 14*g**3 - 6*g**2 - 5*g - 1. Let n(l) = -5*j(l) - 6*w(l). Determine n(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51218?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -v**2 - 317*v + 20460 = 0.\nAnswer: -372, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - -2)*((-16)\/(-4) - 3). Solve -v*h + 6*h + 3 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 697654*r*x**3 + 50978*r*x**2 - 2*r - 5*x**2 - 2*x wrt x?\nAnswer: 4185924*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -747863.2 rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -5223?\nAnswer: 5220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 3*h - 34. Let c(d) = -d + 6 - h + 15 + 6. Let g(n) = -2*n + 21. Let y be g(7). What is c(y)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1507)\/4521)\/(1\/(-51*1)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4*k + 16*k - 2 - 1 + k. Does 18 divide f(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oooo when four letters picked without replacement from owwooopwopoo.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 31469971 or 31469975?\nAnswer: 31469975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2929 and 202.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + 2. Let r = 3 - b. Let d(v) = 3*v - 1. Let u(q) = q. Let p(k) = 3*d(k) - 7*u(k). Determine p(r).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of 1217*j**3\/3 + 472*j**2 + 860. Find the second derivative of p(u) wrt u.\nAnswer: 2434","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 16 - 2 = g, -4*g = 3*y - 17. Let l(c) = 0*c**g + c**2 + 0*c**2. Let b(h) be the first derivative of -21*h**2\/2 - 112. What is b(l(n))?\nAnswer: -21*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -4\/7, 1\/76, 0.071, 0.3 in increasing order.\nAnswer: -4\/7, -0.4, 1\/76, 0.071, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oobbbbooooobbbbobooo. Give prob of picking 4 o.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 4403?\nAnswer: -4403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 13 + 14. Suppose 0 = 5*w - 3 - n. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*n - 9*n = -109*n + 296. Solve 15*u + 9 = g + 10*u, 2*g + n*u = 6 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1204849 + 673927 + 1341689 = 89*s. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10389 divided by -234?\nAnswer: 3463\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -3102333?\nAnswer: -3103003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1386 and 5445?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -131a13?\nAnswer: 131a15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r - 1. Let c(w) = -4*w + 2. Let i(s) = s**2 - 4*s + 2. Let n be i(3). Calculate n*c(d) - 3*h(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 20824 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-8)\/10)\/((-3016)\/(-1885)))\/((-26)\/10).\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1253 + 1275.85.\nAnswer: 2528.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -43.8\nAnswer: -8.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 5*i + 16. Let p = -1 + i. Is (487\/p)\/(7\/(-42)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*t - 853 = -611. Let y(b) = -b**2 - 2*b + 3. Let c be y(-3). Sort 5, -2, c, t.\nAnswer: -2, c, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -52*n**3 - 2*n**2 + 3*n - 6. Let h be b(4). Let f be h\/45 + (-6)\/9. Let i = f + 75. Sort -0.3, 1, i in descending order.\nAnswer: 1, i, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 275 (base 8) in base 7?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 374?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2543*c*p**3 + 615*c*p**2 + c*p - 7*p**3 + p**2 - 4*p + 9640 wrt c.\nAnswer: 2543*p**3 + 615*p**2 + p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/5, -0.2, -2.3, -171474?\nAnswer: -171474","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 24 = 3*k, 10 = 2*k - 144*o + 145*o for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32321 (base 4) to base 9.\nAnswer: -1268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2609 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4012443 centuries in millennia?\nAnswer: 0.04012443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24903339.\nAnswer: 3, 109, 76157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 19*m + 2. Let v = 56 - 37. Let k be g(v). Suppose 5 = -4*d + 3*h, 3 - k = -5*d + 2*h. Calculate the highest common factor of 7 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176*o - 46*o - 64*o - 5*o**3 - 66*o.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13332791739 take away 0.5?\nAnswer: -0.63332791739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -430*p + 126. Does 8 divide z(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1563246768 to the nearest integer?\nAnswer: 1161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 50 = -m + 3*m, 0 = 5*m - 3*g - 63. Let z(d) = -d**3 + 14*d**2 + 15*d. Let q be z(m). Which is the nearest to q? (a) -4\/5 (b) 6 (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5006892 by -1251723.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -z**8\/336 - 5*z**7\/42 + 17*z**2 - 6*z. Determine v, given that r(v) = 0.\nAnswer: -25, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-1\/4))\/p**(-5))**40 assuming p is positive.\nAnswer: p**230","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.230023 months in decades?\nAnswer: 0.018583525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 6*p**2. Let v(c) be the first derivative of -c**3\/3 + 6. What is m(v(w))?\nAnswer: 6*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5*m - 22 = 0, -3*m - 83 = 3*k + 2*m. Let b = k + 36. Solve 25 = -5*h - 5*n, 0 = -3*h + 5*n - 2*n - b for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56748489 and 168?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4394, 4558, 4734, 4928, 5146, 5394, 5678, 6004?\n\"Answer: n**3 + 157*n + 4236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -179 - -148.2. Let u = g + 31. Which is smaller: -8 or u?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 310 and 11966?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/5 - 20\/(-25). Solve 0 = -0*v + 3*v - 3*h + 15, 0 = t*h - 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate r**2 + 9947*r - 28679.\nAnswer: 2*r + 9947","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -12970 divided by -2594\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) 3 (b) 0 (c) -4 (d) -0.066\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(42500\/6199) - -2. Let f = -3\/500 + r. Calculate the common denominator of 5\/16 and f.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 9, y: 5}. Give prob of sequence gyg.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 0 + 1 + 0 + 2 + (0 + 0 - 1)*(2 + 2 - 2))*(0 - 8*q + 0) in the form f + n*q and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - -2. Let j be 0*(3 + s\/(-8)). Solve j = -b - 0*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146558*m**2 + 0*m + 0*m - 146546*m**2.\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11603 + 4*q + 11599 + 6*q - 5*q + 6*q - 2*q.\nAnswer: 9*q - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.23 * -3.225793.\nAnswer: 0.74193239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -20*s - 278. Let r be l(-14). Factor -d**5 - 3*d**5 - 54*d**3 + r*d**5 + 48*d**3 - 2*d**4 + 30*d**3.\nAnswer: -2*d**3*(d - 3)*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29021144 is divided by 551.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/3150*-42)\/((-18)\/(-495))\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110010100 - -1101110?\nAnswer: -1100100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1084565101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -7 - (-7 + (-2 - -2) + 20).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 114*j + 2819. What is x(78)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 18, -2, -11, 4 in decreasing order.\nAnswer: 18, 4, 1, -2, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y - 2*y + 5*y)*(31*y + 39*y + 13*y) + 4 - y**2 - 4 + 2*y as z*y**2 + j + g*y and give z.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*f + 21*f - 7*f)*(-34 - 16 - 110) + 2*f + 2*f - 2*f.\nAnswer: -798*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5299 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 39504981 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 + -24. Let m be (-4)\/(-6) - y\/6. Suppose 4*s = -20, z = -3*s - m - 3. What is the remainder when 29 is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 723 is divided by 82.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 373671.\nAnswer: 3, 41519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137792 is divided by 52.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**(-2\/3)\/z*z))\/z)\/(z\/z**(-4\/3))*(z*z*z\/(z**1*z)*z)\/(z\/(z\/((z**(1\/4)\/z)\/z))*z) assuming z is positive.\nAnswer: z**(1\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 235128493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c*s**2 + 144777*c*s + 2354089*c with respect to s.\nAnswer: 2*c*s + 144777*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 13*w**2 - 7*w + 7. Let m(k) = -9*k**2 + 5*k - 5. Let b(v) = 5*j(v) + 7*m(v). Let o(l) = -4*l. Give b(o(q)).\nAnswer: 32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12\/(-52) + (-1019064)\/(-312)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 3*z**2 - 3*z - 2. Let p be l(2). Suppose -3*b + 235 = 4*k + 6, k = -p*b + 314. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*x - 24*x + 14*x.\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, -0.8, 2\/9, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 20*((-240)\/(-32) - (0 - -7))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64162916 to the power of 1\/4, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/27 - 26303872\/(-2016). Which is smaller: p or 13047?\nAnswer: 13047","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2097.6474 to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*o**4\/13 + 1190066*o**3\/13 - 7025274*o**2\/13 - 9008594*o\/13 - 793212\/13 = 0 for o.\nAnswer: -1, -2\/21, 7, 28329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*i**3 - 3*i**3 + 9*i**3 + (-22 + 39 - 24 + 3*i)*(0*i - i**2 + 0*i).\nAnswer: -15*i**3 + 7*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dvdfdddvfdddvdsvvvtd. Give prob of sequence tf.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5*n = 0. Suppose 6*j - j - 100 = n. Let p be (6\/(-3))\/(j\/15). What is the third smallest value in 6\/7, p, -1\/2?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50575.\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f**3 + 0*f**3 + 225*f**2 - 224*f**2 in the form g*f**3 + o + u*f**2 + l*f and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -553 divided by 79?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 0.07, 6, -4, -0.5, 3 in ascending order.\nAnswer: -4, -0.5, 0.07, 2\/11, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 2*q - 1. Suppose -2*y + j = -0 + 6, -4*j = -y - 17. Let f be o(y). Let h be (-2)\/4*(f - 10). Solve -h*g - 15 = -10*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 100 + -73. Suppose -t = -11*q + 2*q. Let k = -123 + 121. Which is the closest to -0.1? (a) q (b) -0.11 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 780 + -776 + (1 - -1) - (7 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**3 - 6*l**2 + 5*l - 7. Let z be h(3). Calculate the greatest common divisor of 32 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w - 13*w = 20 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -48306501, -48306495, -48306489, -48306483, -48306477?\n\"Answer: 6*j - 48306507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 8:24 AM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - -2.91.\nAnswer: 2.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 5*o + 17, 5*o - 2*c = -0*o + 3. Let p = o - -5. Let q(v) = v**2 + v - 3. Does 17 divide q(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**1)**(-1\/15)\/(s*s\/s**7)**(-39))**8 assuming s is positive.\nAnswer: s**(-23408\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/4 - (-261)\/(-6). Let y = k - -28. Let m = y + 29\/2. Which is smaller: 4 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68573094 to the nearest integer?\nAnswer: 8281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 136 and 19754?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -0*j + 4*w + 42, -6 = -3*j - 4*w. Suppose -58 = -4*k - 2*d, -3*k + 2*d = -k - 44. What is the remainder when k is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.056 - 0.386. Let v = f + 0.13. Let y = -0.58 - -0.18. What is the biggest value in y, 4\/5, v?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/6)\/(g**(1\/13)*g*g))\/(g\/(g*((g\/g**(-2\/5))\/g)\/g*g)*g**(-2)) assuming g is positive.\nAnswer: g**(61\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-7\/5)\/y**(2\/3))**(1\/39) assuming y is positive.\nAnswer: y**(-31\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*g**3*o - 2*g**3 - 9*g + 1033*o wrt g?\nAnswer: 15*g**2*o - 6*g**2 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l - 1. Let p(k) = 13*k + 10. Let h(f) = -6*g(f) - p(f). Let i be h(-7). Let o = 205 - i. Calculate the greatest common divisor of 19 and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15513657?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -41, -84, -129, -176, -225, -276?\n\"Answer: -v**2 - 40*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 308057383 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.674 * -2\nAnswer: 1.348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 4582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/507 (b) -0.4 (c) -76\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 - -0.3. Put 2\/9, 2\/11, w, 5 in ascending order.\nAnswer: 2\/11, 2\/9, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (240\/231)\/(-5) - 380\/1045\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1861*s - 667*s + 12 - 20 + 8 in the form x + m*s and give m.\nAnswer: -2528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6\/23 + 59\/138. What is the biggest value in -0.3, o, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/(-6)*-1236)\/(104\/(-12)). Let u = -190 + d. What is the second biggest value in u, -4, 8?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -223 divided by 335?\nAnswer: -223\/335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = d + 4. Suppose -10 = -2*f - d. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -187*d + 19. Let m(u) = -92*u + 11. Calculate -5*k(q) + 9*m(q).\nAnswer: 107*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1159868 divided by -1159868?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -8*p. Let y(x) be the first derivative of -15\/2*x**2 + 0*x - 5. Give 9*r(b) - 5*y(b).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -689*i - 168*i - 192*i - 5930 + 26910 = 0 for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6719 divided by 27.\nAnswer: -6719\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18691, -37414, -56157, -74920, -93703, -112506?\nAnswer: -131329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 t, and 1 w when three letters picked without replacement from tyllwytllwyyvwtv?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 2*r**2 + 2*r + 1. What is f(-3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -183*n**4 - 37*n - 1323. What is the first derivative of t(c) wrt c?\nAnswer: -2196*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 64 = 11. Suppose 2*n = -3*n + q. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-6)*(-1)\/2. Let d be 1 - (-5)\/((-25)\/3). What is the nearest to 2\/7 in -1\/4, b, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2549.\nAnswer: 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 0*p - z = 5, 2*z - 10 = 0. Suppose 0 = -2*o - 4*a + 8, o - 4*a - a + p = 0. Solve -2*c + 18 = -2*m, o*m - 2*c = m - 6 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pkkik. What is prob of sequence pkik?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190648652?\nAnswer: 2, 137, 347899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (4 - (-159)\/(-12))\/(3\/4) and -23\/33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 120584\/5 - 1085284\/45. Calculate the common denominator of w and (-34)\/(-360)*22 + -1.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07134 to three dps.\nAnswer: -0.071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 30*k**4 + 4*k**2 - 114.\nAnswer: 120*k**3 + 8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 28 = 5*b, -23922*b - 16 = -23917*b - z for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -9450, -18882, -28304, -37710, -47094?\n\"Answer: o**3 - o**2 - 9436*o - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/87 and -131\/24.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 + 12. Let b(q) = q**2 - 10*q + 6. Let f be b(10). Let a = f + t. Which is bigger: 3\/5 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -378*s + 37 - 37.\nAnswer: -378*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6180 and 114825.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 3*t. Suppose -w - p = -t*p, 5*p + 10 = 0. Suppose -3*f - w*f - 2*q + 94 = 0, -q + 57 = 3*f. What is the remainder when f is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -12*g**3 - 26*g**2 - 46*g + 122. Give t(-4).\nAnswer: 658","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3249 a factor of 525421130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 785\/3492 + -1\/388. Let k = -15357\/4 - -3840. Which is the nearest to k? (a) 0.4 (b) f (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/108 + 73\/108. Let d = 1905 - 1904.9. Let y = 0.7 + -3.7. Sort s, -0.1, d, y in ascending order.\nAnswer: y, -0.1, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37008 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + y**2 - y + 10. Let g be c(0). Suppose -2*k = 2*n + 3*n + 7, -5*n - 5*k - g = 0. Let p(u) = -37*u - 3. List the prime factors of p(n).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -740074*1\nAnswer: -740074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-18) + (-1407)\/(-9). Let t = d + 89. Suppose 0 = 5*r - 5*n - t, -3*r + 0*n - n = -163. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 4 (b) 1 (c) 1\/4 (d) -1 (e) -1667 (f) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157 + 0*x**2 - 96 + x**2.\nAnswer: x**2 + 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4290 divided by -858\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 497 - 491. Solve -17 = w*p - 47 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-196))\/((-10)\/14*15\/150)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49 - 49 + 31*i.\nAnswer: 31*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1071273 to the power of 1\/3, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/111 - -35\/222. Let l = 13\/2 - 6. Solve -c*d**2 - 1\/3 + l*d = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288 is divided by (2 + 7\/(-3))\/(163780\/16380 + -10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + 5*a + 6. Let b be y(8). Let d = -18 - b. Suppose -2*v + d = -2. What is the remainder when 3 is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -311*f - 4275 = -336*f. What is the remainder when 370 is divided by f?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1643*m**3 + 3002*m**3 + 3007*m**3.\nAnswer: 7652*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 99885*y**2 + 3139577*y - 2?\nAnswer: 199770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-102)\/(-8))\/(294\/784)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 374 and 1046078.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p - 1. Let s be l(-1). Calculate the remainder when 87 is divided by ((-4)\/(-5))\/(s\/55).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253819130.\nAnswer: 2, 5, 25381913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1884.606 milligrams in grams?\nAnswer: 1.884606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**4 - 3\/2*p**5 + 3*p**2 + 0 + 3\/2*p**3 + 0*p = 0. What is p?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*r + 31*r + 7 = -3*f, f = 2*r - 14. Suppose 20 = -0*s + r*s, -2*v + 576 = -s. What is the greatest common divisor of v and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-234)\/(-12))\/13)\/(9\/(-6)). Which is bigger: -0.64 or y?\nAnswer: -0.64","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(2 - (-116)\/(-60)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 114 + -94. What is the greatest common divisor of c and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 563376 and -56.\nAnswer: 563320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r. Let o be (-22)\/(4 + 0 - 2). Let a be -1*(0\/(-3) + o). Let y(m) = -7*m - a + 11. Determine b(y(d)).\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 452*c - 1273*c - 27873 = 646*c for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 11:20 AM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8639 and 1630.\nAnswer: 86390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 815\/119 - 148\/17. Suppose 6 = 3*p, y - 5*p = -36 + 25. Is h smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 34 or 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -1001?\nAnswer: -1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express k**2 + 19*k + 7*k**3 - 11*k + 2 - 2*k**4 - 6*k as t*k + q*k**4 + f + w*k**3 + s*k**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -356\/57?\nAnswer: -356\/57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - 2. Suppose -19*o + 47 + 29 = 0. Suppose o*k = -5*v + 36, -3*k + 4 = 2*v - 4*v. Calculate i(k).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-3)\/(9\/(-6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -13.191 and 3.634116?\nAnswer: 16.825116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39046625 is divided by 2232.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, r: 2, o: 2, l: 2, q: 1}. What is prob of sequence rm?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/5))**(-23)*(g\/g**(3\/8))\/(g*g\/(g**(-2\/7)\/g)))\/((g**(-1\/3)\/g*g)**15)**(-34) assuming g is positive.\nAnswer: g**(-45769\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 415, 1.82, -3\/7, 2\/7?\nAnswer: 415","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 84*f + 87*f - 21 = 0, 3*c = f + 1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 0.1, -71, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from ddddyyddyyyyydydddyy?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, w: 7}. What is prob of sequence www?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4413837407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 18*y**2 - 43*y - 417. Calculate j(-19).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*p - p. Solve -5*t - 3*d - 35 = 0, 0 = -4*t - p*d + 2*d - 6 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15205109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 4*k + 4*o - 353, 3*k - 2*o - 267 = 0. Suppose -2*b = -5*b + 39. What is the highest common factor of k and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5670)\/168*(6 - 176\/24).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*y + 74 = -33*y - 30*g + 6, -5*y - 5*g = -4*g + 22 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21448?\nAnswer: 2, 7, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.704499 milligrams in micrograms?\nAnswer: 8704.499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -8. Let v = -0.06 - 3.94. Let i = 0.3 + 0. Put b, i, v in descending order.\nAnswer: b, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.48 + 1.28. Put 3, 5, j in decreasing order.\nAnswer: 5, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) + 5*(3*sqrt(170) - sqrt(170)))\/(sqrt(90)*-1)*-1.\nAnswer: 11*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1958 = -946*t + 2384 - 1504. Suppose -14 = -5*d + 2*h - h, d + h + 2 = 0. Solve -2*u + d = n - u, -2*u + 8 = t*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 49 = -34 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60 + 10*d + 60.\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 18269, 36977, 55697, 74435, 93197, 111989, 130817?\n\"Answer: d**3 + 18701*d - 433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 100088 and 225198.\nAnswer: 900792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 616679936 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.23 - -1.77. Let i = -0.2 - -0.3. Let d = -18 - -13. Which is the nearest to i? (a) d (b) o (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9010 rounded to the nearest 100?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 5:57 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55299813 to the nearest integer?\nAnswer: 7436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-4)\/30 + (-1910)\/1425 and 85\/2?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 - 1497*l + 13539. Determine a(9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -5*q - 4*b - 20, -6*q - 20 = 2*b for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -5 (c) 6 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49317*b**3 + 20163*b**3 + 29155*b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 569518?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f = -9*f + 71. Let r = f + -179. Let g = r + 111. Solve 6 + 3 = -3*q + 3*h, -6 = 2*q + g*h for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004404 rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 - 1708 - 304*y + 1708)*(3*y + 2*y - 3*y).\nAnswer: -2*y**3 - 608*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13941589?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -5*x**2 + 11*x + 11. Let y = -6 - -8. Let i = y - 0. Let z(o) = -o**2 + 2*o + 2. Let p(n) = i*u(n) - 11*z(n). Factor p(c).\nAnswer: c**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k*k**(2\/11)*k)\/k))\/k**(3\/5)*((k\/((k*k**0)\/k))\/k)**(1\/2) assuming k is positive.\nAnswer: k**(-43\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-12)\/b)**(-33)*b**10\/(b*b**18\/b))**(-17) assuming b is positive.\nAnswer: b**(-7157)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 2*v**3 + 2*v**3 - 4*v**2 - 4*v**5 - 60*v**4 + 64*v**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.498528 years in millennia?\nAnswer: 0.002498528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -404, -1636, -3698, -6596, -10336, -14924, -20366, -26668?\n\"Answer: -r**3 - 409*r**2 + 2*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 20488096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 4 (c) -818 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*g - 2 = -0*g, -r - 4*g = -4. Let o be 3 + 11\/11 + -4. Suppose r = -o*h - h + 17. Does 2 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 24*x**2 + 23*x - 19. What is h(23)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 78, 53, 42, 51, 86, 153, 258?\n\"Answer: q**3 + q**2 - 35*q + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11078 + 11087. Let c(w) be the first derivative of 4 + z*w + 13\/2*w**2. Differentiate c(s) wrt s.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 4 = -0*c - 2*c, -3*c + 7 = -4*p. Suppose -h + 2*v = -p*v - 15, -17 = -h + 5*v. What are the prime factors of (-4)\/14 - ((-807)\/h)\/1?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225808737?\nAnswer: 3, 7, 11, 419, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2.12, -187, 5\/4?\nAnswer: 2.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.4 + 5. Let z = -26944 - -26942. Which is the third biggest value? (a) m (b) -26 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 5*w + 2. Let a(g) = 2*g**2 + 2*g - 4. Let k be a(-4). Suppose 3*s - k = -s. What is the remainder when j(6) is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - 0. Let y = v + 8. Suppose y*i + i - 635 = 0. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 8 = -s. Factor -21*n + 5*n + 7*n**s - 3 - 19*n**3 - n**5 + 7 + 25*n**2.\nAnswer: -(n - 2)**2*(n - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence okoo when four letters picked without replacement from {o: 6, k: 6}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 141 + -137. Let x(k) be the first derivative of 25\/2*k**z - 10\/3*k**3 - 1 + 0*k - 2*k**2. Factor x(n).\nAnswer: 2*n*(5*n - 2)*(5*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3780 divided by -54.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 261 = -36. Does 9 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 217, 437, 657?\nAnswer: 877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -0.5 (b) 0 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 54 + 9 + (-26 - (15 - 16))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 2*z + z - 6*z - 14 + 2*z. What is the tens digit of h(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/6 + 42\/(-36). Let r = 0.3 + -0.31. Let h = r - -0.41. Which is the second biggest value? (a) x (b) 1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mjmmylwymlmymym. Give prob of sequence ywly.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -61*s - 7255. Let q be a(-119). Put -3, 6, q, -2, -4 in descending order.\nAnswer: 6, q, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**2 - 1. Let k(m) = -5*m**2 + 4*m - 4. Let f(o) = -k(o) - 2*s(o). Let d = 1 - -3. Give f(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 - 6*o + 13. Let d be p(-9). What is the tens digit of ((8\/6)\/(-2))\/(d\/399)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 552790 a multiple of 298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-172105)\/35 + 5 + 33\/(-7). Let n = 9620 + q. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 108 = 4*v, -19*s + 24*s + 4*v + 162 = 0. Put 3, 2, 1, 0, s in decreasing order.\nAnswer: 3, 2, 1, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) -2 (b) -189 (c) -1\/4 (d) -87\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, x: 2}. What is prob of sequence xx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a second in milliseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 9*k**2 - 8. Let m(g) = -4*g. What is o(m(h))?\nAnswer: 144*h**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21 or -7287?\nAnswer: -7287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -329310, -329307, -329304, -329301?\n\"Answer: 3*p - 329313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.5, 6\/7, 1\/3993, 2\/3?\nAnswer: 1\/3993","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + 3\/(3\/5). Let x(a) = 4 - 11 + 18*a**2 + a**3 - n*a - 13*a**2. Let d be x(-6). Solve -6 = 4*o - 0*z - 2*z, -5 = d*z for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 379*s - 239*s - 259*s + s**2 to n*s**2 + l*s + m and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t**5\/7 - 3812*t**4\/7 + 18030*t**3\/7 + 70316*t**2\/7 - 7680*t = 0. What is t?\nAnswer: -640, -3, 0, 2\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (69\/2254*721 - 22) + 741\/28*2?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -1172*u + 12. Let h be v(-2). Let d = -44782\/19 + h. Is d bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) -2\/5 (c) -2\/41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*c*j**2*n**2 + 3*c*j**2*n + c - 4*j*n**2 + 379*n**2 + 4*n wrt j.\nAnswer: 16*c*j*n**2 + 6*c*j*n - 4*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 t when four letters picked without replacement from {t: 3, k: 4, y: 9}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -17*f + 64. Let k be x(0). Suppose 5*s = -5*i + 155, -2*i + s = 5*s - k. Calculate the greatest common factor of 210 and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49511?\nAnswer: 7, 11, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87892 - 23929 = 2369*j for j.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-7) + (-607512)\/(-119) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = z - 64, 40 = -z + 2*z - 5*y. Calculate the greatest common factor of z and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -171 divided by 9\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 187 - 185. Let j(w) = 2*w + 6. Let i(p) = -8*p - 21. Let q(f) = s*i(f) + 7*j(f). Let k(v) = 27*v**2 - 4*v. What is q(k(z))?\nAnswer: -54*z**2 + 8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 71*u - 402. Is s(11) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247858170 a multiple of 309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -6003173?\nAnswer: 5\/6003173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 20, 25, 30, 35?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 2*k**2 + 7*k + 585. Let c be t(0). Let p = 544 - c. Which is bigger: -5 or p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/8)\/(u**(-3\/5)*u))\/(u**5\/u**(1\/4)) assuming u is positive.\nAnswer: u**(-201\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 23. Let c(h) = 4*h + 27. What are the prime factors of c(n)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -15*g. Let u(b) = 6*b - 1. Let d(h) = 10*h - 2. Let m(i) = d(i) - 2*u(i). Determine m(s(r)).\nAnswer: 30*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-27))\/(2\/9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 333*m - 329*m - 5720. Is m a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 93*a + 8865. List the prime factors of l(0).\nAnswer: 3, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2*i + 5)*(4*i**4 - 2*i**4 - 14*i**4).\nAnswer: 24*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-2)*(-10)\/(-75)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k + 146. What is the tens digit of u(12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3530 is divided by 101.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3 - -2)*-4)\/2. Let u be s - 3 - (-12)\/4. Suppose u*b = 2*i - 70, -4*i + 149 - 2 = 3*b. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + 0*k - 2*k)*(-4*k**2 - 2*k**2 + 4*k**2 + (4 - 3 - 2)*(4*k**2 + k**2 - 4*k**2) + 9*k**2 + 8*k**2 - 28*k**2).\nAnswer: -14*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 44*u**2. Let m(i) = 57*i**2 + 3. Let f(v) = -185*v**2 - 10. Let j(p) = 3*f(p) + 10*m(p). Give s(j(q)).\nAnswer: 9900*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -4 + (7 - 12 - -13)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -20967, -41935, -62901, -83865, -104827?\n\"Answer: w**2 - 20971*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/1581 and 1\/5931602.\nAnswer: 302511702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-5*(sqrt(208) - 6*(sqrt(208) + -2)))**2 - (4 + sqrt(208) + -2*(0 + sqrt(208))**2 + ((sqrt(208) - (sqrt(208) + 1)) + -3)**2))*2.\nAnswer: -384008*sqrt(13) + 4275992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 820*h**3 + 80*h**2 - 240*h + 80. Let v(p) = -p**2 + 3*p - 1. Determine 3*s(f) + 240*v(f).\nAnswer: 2460*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42024 and 35088?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 164 + -168. Let g be ((-420)\/28)\/(6\/s). Solve -2*y - 3*y = g for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -20*b + 2 + 15*b + 15*b + b**2. What is the remainder when 35 is divided by u(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 753.7887 nanograms in kilograms?\nAnswer: 0.0000000007537887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of b**3\/3 + 9*b**2 + 48*b - 141. Let f be o(-15). Solve -4*s - 5*u + 22 = 0, 0 = 5*s + f*u - 8 - 13 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + 2 - 4)*-19. Let s = 3 + r. Suppose 0 = -21*v + 269 + 25. What is the smallest common multiple of v and s?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -473 by -5.\nAnswer: 473\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 515 is divided by 86 + (42\/1)\/7.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z + 7\/4*z**3 - 1\/2*z**4 - z**2 + 0 - 1\/4*z**5 = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1008448 divided by -4502\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 747180?\nAnswer: 747180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 10*t = -13*t + 13, 4*t - 13 = 3*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-4)*1*(-1130)\/(-791)*(-612)\/135.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0725 minus 0.8?\nAnswer: -0.7275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 101243 and 657326.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 4*l - 224, 0*u - 3*u + l + 184 = 0. Let z = u - -1. Suppose -12*g + 1513 - z = 0. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10464 = 134*y - 38*y. Solve 4*w - y + 113 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*h - 2*h. What is the second biggest value in -6, h, -1\/2, 0.1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 17*u - 22*u + 40, 3*u - 32 = -5*q. Solve -x + 4*z - z = 19, q*z = 5*x + 40 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/14 and 91\/28*(-14)\/255?\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*g + 207*i + 122 = 206*i - 280, 2*g + 2*i = -12 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19986415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -177 + 182. Solve b = s - 4 - 3, -10 = -4*s - l*b for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 413 is divided by 37?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1802)\/(-159))\/(27*7\/1701)?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*r - 24*r - 12*r)*(-22 + 17 - 24)*(-3*r**2 + 4 + 3*r**2 + r**3) to the form m*r + z*r**4 + y*r**3 + j + d*r**2 and give m.\nAnswer: 5220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*c = 136*c + 3*c + 1550 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*r - 18636578 - 4555522 = 0. Round r to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12366 is divided by 723.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 less than 138889364?\nAnswer: 138889315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 9:00 PM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + 2 + (38 - 1). What is the units digit of (f - 5) + 3 + -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -8193 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x**3 - 4*x**2 - 4*x - 7. Let m(z) = -5*z - 6*z**2 + 4*z**2 - 3*z**2 - 8 + 4*z**3. Let w = 34860 - 34855. What is w*p(t) - 4*m(t)?\nAnswer: -t**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 17487, 34941, 52395, 69849?\n\"Answer: 17454*m + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, -20422, -3, 15 in ascending order.\nAnswer: -20422, -3, 2\/17, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 4 + 8 + 0 + -6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45807, 46026, 46247, 46470, 46695, 46922, 47151?\nAnswer: 47382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 334*l**2 - 6978*l*p**3 + 120738*p**3 wrt l.\nAnswer: 668*l - 6978*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3083215 and -13534074.\nAnswer: -10450859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 240 = -2*m, -3*u + 360 + 0 = -4*m. Suppose -5*j + 4*a = 12, 4*j = 3*a - 3 - 6. Suppose j = 4*q + q - u. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**2 + 4. Let x(o) = -2*o**3 - 11*o**2 + o - 32. Suppose -2*v - 27 = 3*a, 2*v - 12 = a - 19. Let c be x(v). Calculate s(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i. Suppose -5*x + 2*u = -6, 0 = -2*x - x + 3*u + 9. Let g(q) be the second derivative of 0*q**2 + 1\/2*q**3 + 2*q + x. What is l(g(t))?\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 908422 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -4*b - 1. Let u be (3\/(-9))\/(2\/(-36)). Let g(f) = -f**3 + 4*f**2 + 11*f + 7. Let y be g(u). Determine o(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*j + 13*j - 4. Suppose a - j*a = -6. Suppose -a - 10 = 6*f. Sort f, 22, 2.\nAnswer: f, 2, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35152046 (base 8) to base 12.\nAnswer: 2692a06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -y**5\/20 - 7*y**4\/12 - 5*y**2\/2 + 9*y. Let p be u(-7). Let f = 2 + 3. Sort 4, p, f.\nAnswer: p, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 5:20 PM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 6:25 AM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bh when two letters picked without replacement from bhbfhfhffhf?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-96)\/(-18) - 4)\/((-4)\/(-24)*8). Which is the nearest to 2\/3? (a) k (b) 2 (c) -2\/7 (d) 0.094\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40852339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 9:24 PM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 g when three letters picked without replacement from egvvuvvvv.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13402?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3518030 is divided by 751?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3326879 - -0.285.\nAnswer: -3326878.715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 8. Let w be 2\/(-2) + 3 - z. List the prime factors of -1 - 7*-5 - w.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - h = -59, -5*o + 7*h - 3*h + 39 = 0. Suppose o = 4*z - 9. Solve 17 = -5*i - 5*b + b, -z*b - 15 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-8 - (-2 - 6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -102 - -511\/5. What is the closest to 2\/5 in w, 5, 6, -2\/9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -37*r - 216. Let z(h) = 20*h. Calculate -y(j) - 2*z(j).\nAnswer: -3*j + 216","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 1802*b - 79340. What is f(-43)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/50*-2*(-20)\/(-72)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -735, -575, -139, 711, 2113?\nAnswer: 4205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2 + (sqrt(2057) + 0)*5)**2.\nAnswer: 51425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2645393, -5290842, -7936291, -10581740, -13227189?\n\"Answer: -2645449*r + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 10:59 AM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 60330 rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30.328 + 29.828. What is the nearest to 0.13 in -1.3, p, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -28, -54, -82, -112, -144?\n\"Answer: -y**2 - 23*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 811*v**2 - 817*v**2 - v**3 + 5 - 4*v - 2*v. Determine g(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4093 + -3?\nAnswer: 4090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832) + -2 + -1)*-1)**2.\nAnswer: -48*sqrt(13) + 841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -38 + (2 - 48 - -124)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 165, 25.12, -1\/8, 0.13, -2 in increasing order.\nAnswer: -2, -1\/8, 0.13, 25.12, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -26*b + 9. Is j(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 680 in -0.3, 48, -4?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 11*a - 4. Let q(j) = 660*j - 242. Let i(l) = 2*q(l) - 121*y(l). What is i(-2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 41, -3, -109.\nAnswer: -109, -3, -1, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 116331 + -32572559\/280. What is the common denominator of g and -80\/63?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 528*o - 117 = 531*o. What is the common denominator of -149\/366 and o?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) - sqrt(119)*-4)*-5)\/(-5*sqrt(1008)).\nAnswer: 5*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80 and 8920.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -2*c - 90, -5*f + 4*f = 4*c + 145. Let o be 42\/c*(-40)\/6. Suppose 2*v + 4*i = -10, -2*i + 3*i = -v - 1. Solve -v*r = -r + o for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*c + 18*c + 7*c in the form m*c + z and give m.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -9*x**2 - 5*x - 3. Let f be 5\/(4\/(-10) - 63\/105). Let s(i) = -i**2 - 3 - 4*i**2 - 5*i + 2*i + 1. Determine f*s(c) + 3*v(c).\nAnswer: -2*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a litre in millilitres?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 5*z - 30. Let c be o(6). Solve c*m - 3*m - 12 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1361 + 1362. What is the closest to l in -0.3, 0.5, -3, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -16, -23, -48, -97?\nAnswer: -176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69184606?\nAnswer: 2, 227, 152389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2998\/3 + -983. Let z = -352\/21 + w. Let f be 2\/(-7)*(-14)\/6. Which is the closest to f? (a) -0.4 (b) 0.2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-70 - -16 - 31) + 54\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-3*(-1 + 2*(sqrt(500)*-1 + sqrt(500))*6*-5*-2))**2.\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {u: 1, f: 6, d: 7, o: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 5:59 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**3 - 22*c**2 + 33*c - 86. Calculate q(9).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 (base 16) in base 12?\nAnswer: -9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 9:34 AM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 668 is divided by 216?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-3\/5)*q)\/q**(-3\/5))\/((q\/(q*q*q*q*q*q**(2\/9)))\/(q*q**(2\/5))))**(7\/4) assuming q is positive.\nAnswer: q**(1043\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 298425.\nAnswer: 298425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*u - 3*k - 13 = 0, 0 = u - 5*k - 17. Suppose u = -i + 4. What is the first derivative of -3*t**i - 1 + 0 + 0 + 6*t**2 wrt t?\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18*(6\/1)\/12. Solve -g = 4*c - 25 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 31*t**3 - 448*t**2 + 1174*t + 21. Calculate y(11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-113 - 53 - 9 + (-1 + 3 - 1)*(1 - 5 + 3))*(0*l + 0*l + 2*l) as f*l + d and give f.\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25 - 801*k**2 - 797*k**2 + 1603*k**2 + 290 + 80*k.\nAnswer: 5*(k + 7)*(k + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 225, 6, -3 in increasing order.\nAnswer: -3, 6, 225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttttntntttnnnnttnnd. Give prob of sequence ndtn.\nAnswer: 77\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -114*i**4 - 14*i**5 + 114*i**4 + (-7*i**2 + 0*i**2 - 5*i**2)*(2*i**3 - 3*i**3 - i**3) + 0*i**5 - 3*i**5 + 0*i**5.\nAnswer: 7*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 40.51904 years?\nAnswer: 4.051904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3*r = -60, -4*r = 4*o + r + 28. Is (316\/o)\/(5\/(-45)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119519 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ybaa when four letters picked without replacement from ybaaaaaaa?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 121*j**2 - 125*j**2 + 4.\nAnswer: -4*j**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 5*x + 4. Let y be u(-4). Suppose y = -0*d - 2*d + 14. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, p: 8, t: 4, g: 2}. What is prob of sequence gw?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 4*m**2 - 4*m + 6. What is d(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 3*r**2 - 3*r. Let q be v(0). Solve -4*h - 3 = -2*n - 5*h, q = 5*n - h - 11 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 5*h + 69. Suppose -3*a = -2*s - 7 - 4, -5*a + h = -s. Suppose a*x = x + 32. Calculate the remainder when 22 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 5329, 0.2, -3?\nAnswer: 5329","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2496 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*b**2 + 2*b**2 + 4*b - 3*b**2 + (2*b - 2*b - 4*b**2)*(1 + 2 - 4))*(7*b - 3*b - 3*b) to the form z + v*b**2 + m*b + g*b**3 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -n + 4*a + 1 + 4, -2 = -2*n + n + 5*a for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/(-9)*(-2)\/30\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3469\/5? (a) -3 (b) 19 (c) -2\/5 (d) 0.5 (e) 2 (f) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1365734179 + -1365734166.29999083. Let r = n + -12.7. What is r rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26 or 21?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 3)*(-3*l**2 - 2*l**3 - 2*l + 3*l**2).\nAnswer: 4*l**3 + 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45334 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 204 - 204 - 307*t**2.\nAnswer: -307*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x + 5. Let c(o) = 4 - 5*o - 2*o + 9*o. Suppose 28 = -3*t - t. Let n(p) = p**3 + 7*p**2 - 5. Let u be n(t). Determine u*c(s) + 4*g(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (2 - 4)) + (-11 - -7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -266, -518, -770?\nAnswer: -1022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*u**2 + 7*u**3 + u**3 + 11*u**2 in the form n*u**3 + z + l*u**2 + c*u and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5742 and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssnsnss. Give prob of picking 2 s.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -4\/3*q**3 + 6\/5*q**7 - 5\/21*q**8 - 17\/30*q**5 + 0 - 89\/60*q**6 - 3*q**2 + 2*q**4 + 0*q. Suppose k(p) = 0. Calculate p.\nAnswer: -1\/2, 1\/4, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s + 6. Let z(k) = k - 1. Suppose 11*l - 30 = 6*l. Let i be z(l). Is 4 a factor of r(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11877 and 4206012.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a kilometer in meters?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -5*z + 51. Let f(l) = 3 - l**2 - l + 2*l + 9*l - z + 8. Determine f(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-63))\/((-6)\/(-9)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**5 + j**3 - j**3)*(-3 + 125 - 15).\nAnswer: -107*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (22 + -23)\/(1\/670). Let l = a - -1204. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -280511, -560914, -841317?\n\"Answer: -280403*m - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3 + 4 = 0. Is (-3735)\/(-12) + (p - (-25)\/(-20)) a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 69*a + 820 - 295 = 0. Is -74 greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2111255 to the power of 1\/3, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 34372.99 litres in millilitres?\nAnswer: 34372990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of t**6\/120 + 7*t**5\/60 + t**4\/3 + 5*t**3\/6 + 9*t**2. Calculate f(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 24522.8 to the nearest one hundred.\nAnswer: 24500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -c (base 16) to base 14\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 3)*(0*t**5 - 5*t**5 + 4*t**5).\nAnswer: 2*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k\/(k**(1\/5)\/k))\/k)**18*k**(2\/5)*k**(-2\/11))\/((k**(2\/11))**(-2\/3)*k**(2\/15)*k**5*k) assuming k is positive.\nAnswer: k**(878\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/18 - -5\/9. Let k = -612 - 75. Let n = k + 684. What is the nearest to 1 in n, -0.1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/6*(-16)\/56*12\/12*9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*l + 3*o - 0*o, 2*o = 3*l + 7. What is the closest to l in 2, -1\/4, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 362*r**3 + 153*r**3 - 70*r**3 - 10 + 296*r**3 + 10.\nAnswer: 741*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 8*u + 5. Let w be ((-2)\/(-6))\/(3\/36). Suppose z + 1 + 1 = 0, 0 = -w*f + z + 18. Is i(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46346 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 + 32 + 50*w.\nAnswer: 50*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 1. Suppose -6*m + 3*m + 45 = q. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*w - 9*m + 7*m, -3*w - m - 5 = 0. Solve 34*g - 56*g + 154 = w for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5305201 - 261?\nAnswer: 5304610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 664415505?\nAnswer: 3, 5, 13, 17, 66809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4324 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (0 + -1) - (31 + -26).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36841?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 18*f**2 - 25*f**2 + 14*f**2 - 8*f - 2. Let p(q) = -6*q**2 + 7*q + 1. Let m(x) = 5*b(x) + 6*p(x). What is m(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, y: 3, p: 8, o: 2, w: 4, x: 2}. What is prob of sequence ww?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/60)\/(72\/(-4320)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 340 - 342. Put t, -62, -3, 4 in ascending order.\nAnswer: -62, -3, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + h - h)*(237*h - 75 + 228*h - 469*h).\nAnswer: -8*h**2 - 150*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 14*g**3 + 20*g**2 - 6*g - 42. Let s(i) = 5*i**3 + 7*i**2 - 2*i - 14. Determine 4*o(a) - 11*s(a).\nAnswer: a**3 + 3*a**2 - 2*a - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.00526*-36\nAnswer: -0.18936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 668\/(-3340) + 27\/(-15).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2\/(-4))\/((-4)\/512) - -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -433\/5 + 87. Let k = -947\/7 + 4749\/35. Solve 0*c + 0 + k*c**3 - i*c**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 236*p**3 - 2*p**2 + 15*p - 14. Let i be t(1). Is i at least 239?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 0.5, 1\/12, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 66013, 131860, 197707, 263554, 329401?\n\"Answer: 65847*i + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 47.9 (b) 4 (c) 0.1 (d) -14 (e) -10 (f) -1 (g) -0.5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 88 and 3719864.\nAnswer: 40918504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**5 - 124518*t**4 - 2736864*t**3 + 44798016*t**2 - 195134208*t + 270807552 = 0. Calculate t.\nAnswer: -41484, -34, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14798 + -14741. Solve 47 = 5*d + j for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 400 and 161760?\nAnswer: 808800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5125, 5058, 4953, 4810, 4629?\n\"Answer: -19*t**2 - 10*t + 5154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -14. Suppose 2 = 3*t - j. Let n be (44\/(-8))\/(t\/(-4)). Solve -5 = -2*b - 3*f, -3*b + f + 2 = n for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -864 - -1075. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-65 + 26 - 70 - 80 - 5*l**2)*(0 - 1 - 3 + (0 - 1 + 0)*(4 + 2 - 5) - 1 + 0 + 2 + 0 + 4 - 1) as w*l + u + q*l**2 and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 17*z**2 - z - 18. Calculate u(-17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-29)\/(-29))\/(((-18)\/8)\/(-3))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**5 - 2*u**5 - 2*u**5 + (31*u + 17247*u**4 + 5*u**2 - 2*u**2 - 17243*u**4)*(5*u - 4*u + u).\nAnswer: 4*u**5 + 6*u**3 + 62*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 39d?\nAnswer: 39d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14.5 - -15. Let h = y - 0.9. What is the second smallest value in 0, h, 1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6 - -7)\/(-3 - -2) - 0. Sort -2, q, -5, 0 in ascending order.\nAnswer: -5, -2, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57 + 0*i**3 + i**3 + 26*i**4 - i**2 - 24*i**4 to q*i**2 + y*i**4 + t*i**3 + m + g*i and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/3 - -1)\/(-1). Let l = -5.7063 + 3.7063. Which is the biggest value? (a) -1\/32 (b) o (c) l (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2888 is divided by 428.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 414468661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -6. Let v be 344\/28 - y\/(-21). Suppose -4*d = k - 3, -8*d = -3*d - 4*k + v. Solve d*f - f + 5 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (94\/5)\/(16\/40). What is the first derivative of 0*k + 2*k - 7*k + 0*k - v wrt k?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4 + 8*w**3\/3 - 5*w**2\/3 - 2*w.\nAnswer: w*(w - 1)*(w + 3)*(3*w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(57)\/(sqrt(33)\/(sqrt(33)\/sqrt(3))))**2 - -2*((sqrt(19) - (-2 + 2*sqrt(19))) + sqrt(19))**2*1)*5.\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*n + 30 + 20 = -10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-27)\/18 - (-57)\/2. Suppose -j - 1 - l = 0. Let p = -12 - j. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccxcccccxxcccccccxc. Give prob of sequence xc.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7*10.5.\nAnswer: -7.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -50*i**2 + i**2 - 10*i**2 + 0*i + 7*i**2 - 2*i + 20*i**5 wrt i.\nAnswer: 1200*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k**3 + 6*k**3 + k**4 + (0*k - k - k)*(-k**3 + 3*k**3 + 0*k**3) + k + 2*k**4 - k + 4*k**4 + k**4 - 2*k**4)*(k + 1 - 2*k - 4).\nAnswer: -2*k**5 - 6*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-10) - (2 - 48\/10). Suppose f = b*h + 2*f - 6, 0 = 5*f. Let g be h\/((3\/1)\/(-6) + 1). Solve 0 = g*q - 14 + 2 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 552962461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) - -4*sqrt(110)*1) + (sqrt(110) - (5*(1*sqrt(110) + sqrt(110) - sqrt(110)) + sqrt(110))))\/((sqrt(10) + -2*sqrt(160))*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 2*s - 12. Let u be (1 - -4)\/(15\/s). Which is the second smallest value? (a) 1\/5 (b) 3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 38836730*v - 30115716?\nAnswer: 38836730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l - 8*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 10 = 2*t, 0 = -2*s + 2*t + 4 - 2. Let r(p) = -3 + 12*p**s - p + 2 + 2. Is r(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.165 + 1.865. Let q = j + 3.3. Which is the nearest to q? (a) 0.1 (b) -1\/9 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, 46, 57, 66, 73, 78, 81?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 24630.891 months?\nAnswer: 205.257425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of -4*v - 1\/12*v**4 - 9\/2*v**2 + 0 - 11\/6*v**3. Let s be f(-10). Which is smaller: s or 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -118633, -240485, -362337, -484189, -606041?\n\"Answer: -121852*b + 3219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a millisecond in microseconds?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/24995 and 113\/220.\nAnswer: 1099780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**4 + 1035*g**3 - 3135*g**2 + 3145*g - 1050.\nAnswer: 5*(g - 1)**3*(g + 210)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 87 + -82. Let v be 2\/6 + 0 + 65\/3. Suppose -4*p - 8 = -2*f + 26, f - v = 3*p. What is the lowest common multiple of t and f?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -102 + 46. Does 3 divide ((-21)\/b)\/((-1)\/(-84))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.9456 + -0.0544. What is the closest to 1 in 3\/5, 0.3, -5.5, o?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/15 and 52\/729?\nAnswer: 3645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of z**4\/3 - 5*z**3\/6 - 21*z**2. Let j be t(1). Let g = -6 + 6. Which is the nearest to 0.2? (a) j (b) 0.2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.06 (b) 2 (c) 17 (d) 339\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 - 25*t - 33. Let s be p(-23). Suppose 4*o - s = 31. Calculate the greatest common factor of 4 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -345 - -344.9988. Let v = 0.000769 + q. Round v to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1382*d**3 + 2*d**2 - 183*d + 14.\nAnswer: -8292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 6 = -6. Let z(q) = -q**3 - 7*q**2 - 7*q - 5. Let l be z(-6). Let x = l + -1\/4. Which is the closest to 2\/3? (a) 0.2 (b) k (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in -101, 26, 4, 0.1, 1\/3?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7304 is divided by 3649?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10\/3 in 3\/35, 4, 858?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -47, -116, -233, -410?\nAnswer: -659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (48\/20 - 4\/10)*1. Let w(v) = -v + 1. Let o be w(t). Let g = -4 + -2. Put g, o, -4 in decreasing order.\nAnswer: o, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.38 * 0.01.\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17348, -34707, -52074, -69455, -86856, -104283, -121742, -139239?\nAnswer: -156780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((396\/(-56))\/33)\/(((-720)\/(-28))\/6)\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -834*c**5 + c**3 - 444*c + 7. Let u(o) = -o**3 - o - 5. Let l(y) = m(y) + u(y). Find the second derivative of l(b) wrt b.\nAnswer: -16680*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven quarters of a tonne?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 94458, 188892, 283296, 377658, 471966?\n\"Answer: -2*p**3 - 3*p**2 + 94457*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -3. Suppose 5*n - x*n - 9 = 0. Suppose -12 = n*r, 4*k - 4 = -4*r - 0*r. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 251489?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 + 14 = 28*h. Let k(f) = -3 + 5 + 1 + f**2 + f + 1. Calculate the smallest common multiple of k(3) and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((2646\/12)\/(-9))\/((-2)\/12). Find the second derivative of -54*a - 19 + 0*a - q*a**2 + 19 wrt a.\nAnswer: -294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 545759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5326788821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 251359*r + 51461*r + 2 - 2.\nAnswer: 302820*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ceeeceeececccc. What is prob of sequence ecee?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 48\/77 and -111\/92429498?\nAnswer: 1016724478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 4\/3*a**3 - 1\/24*a**4 + 0*a - 1\/120*a**5 + 0*a**2 - 4. Let s(x) be the third derivative of c(x). Give s(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94582*h - 94584*h - 1 + 1.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 26aca + 0?\nAnswer: 26aca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -b**4\/12 - b**3 + 7*b**2\/2 - 5*b. Let a(v) = 1. Let o(g) = -3*a(g) - f(g). Is o(12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261 is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 + 3. Let t be 1\/3 - (-10)\/x. Suppose 7*n - 8 + 8 = t. Solve 2*l = -n*l - 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -324*f + 1330 - 3424 = -477*f + 2496 for f.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-4*12\/144 + 2\/(-4))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1.9 * -10.47\nAnswer: -19.893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*o - 48 + 83 = 343. Solve 0 = o*c + 5*w - 3, -3*w = 7*c - 5*c - 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 4*v**2 - v - 2. Let c be w(4). What is the common denominator of 2\/(-6)*(-935)\/44 and 210\/(-32) - (c + 4)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*l - 3*l**2 + 3*l**3 + 2*l - 12*l**3 - 12 = 0. What is l?\nAnswer: -2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 + -23 + 2 + -33 + -26\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 1165*v**2 + 1334*v**2 - 4 to q*v**2 + y*v + l and give q.\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 451 = -125*q - 1924 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 = -1169*m + 1266*m. Solve -4*u - m = 11 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 302.\nAnswer: 3\/302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 105 + 18*t - 10*t - 25*t. Let v be d(6). Solve -v*w - 6 = -0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1342270 is divided by 58357?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -15617, -15750, -15971, -16280, -16677?\n\"Answer: -44*m**2 - m - 15572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.7 - 0.4. Let q = -5.3 + j. Let d = -5.2 - q. What is the nearest to -1 in 2, d, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(11) - sqrt(99)\/(sqrt(45)\/sqrt(5))))**2 + (-1*sqrt(1584) - (-1 + sqrt(1584) + sqrt(1584) + sqrt(1584) - sqrt(11))).\nAnswer: -47*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6516224 by 88.\nAnswer: 74048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 366 + -359. Suppose -5*o = 5*o + p*o. Solve -3*x + 9 + 0 = o for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10\/(-15))\/((-2)\/21). Suppose -2*q - 7 = z. Let h(n) = -n - 2. What is h(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 13*r**4\/12 + 7*r**2 + 16*r - 3. Let g(a) be the first derivative of l(a). What is the first derivative of g(v) wrt v?\nAnswer: 26*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 2*d + 311, -5*f - 382 = -2*d - 1901. List the prime factors of f.\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**20*(r\/(r*r**(6\/13)))\/r)**(-27) assuming r is positive.\nAnswer: r**(7182\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 905\/132699 - -1\/1491. Let h = 817\/2136 - y. Let l = -0.3 - -0.3. Which is the closest to l? (a) 2\/13 (b) h (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2723*x**3 - x**2 - 7*x**2 + 2464*x**3 + 14*x**2 - 10*x**2.\nAnswer: 5187*x**3 - 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*y**2 + 2*y**2 + 19*y**2 + 21*y**2 + 21*y**2 - 104*y**2 + 21*y**2.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1160 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -54, -233, -714, -1647, -3182, -5469?\n\"Answer: -25*t**3 - t**2 - t - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 36382627 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/7449 and -67\/24.\nAnswer: 59592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 40018 divided by 2?\nAnswer: 20009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 23 or 6?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 319422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 5*v - 324. Let p = 241\/3 - v. What is the third biggest value in -1\/11, 0.4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4144109 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-112)\/(-10) + (-1)\/5. Let a(j) = 219*j - 76. Is a(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -614663, -614619, -614575?\nAnswer: -614531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 248\/88*1 - (7 - (-316)\/(-44)). Sort -2, -4, g in increasing order.\nAnswer: -4, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102 * -1\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/n**(-6)*n\/(n\/(n**(2\/35)\/n))*(n*n*n\/(n**(-1)\/n))**22 assuming n is positive.\nAnswer: n**(4062\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 808*x + 206562*x**3 - 808*x - 78 - 206554*x**3.\nAnswer: 8*x**3 - 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2880))**2 + -3 - 1*sqrt(4500).\nAnswer: -30*sqrt(5) + 2877","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -60 divided by 12\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 1525, 5, -5 in decreasing order.\nAnswer: 1525, 24, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3*l - 7. Let j be k(4). Suppose -c = 3*r - 3*c - 99, 0 = -j*c - 15. Let w = r - 25. Solve n + 3 = w for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvi when three letters picked without replacement from {v: 4, i: 6}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1211*b**3 + 5694 wrt b.\nAnswer: 3633*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(4\/15))**41 assuming t is positive.\nAnswer: t**(164\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 3477 = 2*s - 3474, -2*s - 2 - 2 = -4*p for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5*8\/80*(0 + -12)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101 + 111000000110101?\nAnswer: 111000001010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w + 0*w = 0. Let o be (w + -1)*(-1 + -22) + -1. What is the highest common divisor of o and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2300 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 16. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*s + 4*s. Suppose h - 5*b + 17 = 0, h - 2*b - 2*b + 14 = 0. Let u be 10\/s + h\/4. Solve 0 = 4*a + 5*i - 31, a + u*i - 18 = -2*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**3\/7 + 3320*a**2\/7 - 1377800*a\/7 = 0. What is a?\nAnswer: 0, 830","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112592 is divided by 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -4*u + 5*y, -u - 2*y + 2 = -1. Let w(h) = 2*h. Let v be w(u). Let t = 5 + v. What is the remainder when t is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 5*i - 13, 7*i - 4*i = -4*r - 5. Sort 0, i, 11, -1 in decreasing order.\nAnswer: 11, i, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**5 - 124*l**4 - 86*l**3 + 2300*l**2 + 6424*l + 4880.\nAnswer: -2*(l - 5)*(l + 2)**3*(l + 61)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (234\/(-12))\/(-13)*40\/12. Solve -4*o + 21 = a for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -71.91 to the nearest integer.\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - 10\/3)*-12. Suppose 4*o - 31 = -b, -2*o = o + 5*b - 19. Calculate the greatest common divisor of z and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 19 = p, -6*i + 17 = -2*i + p. Let n(x) = -i*x + x**3 - 7*x**2 + x - 1 - 3*x**3 + 3*x**2. List the prime factors of n(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + 7225764\/98 - 4\/14 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -53 and 2081795.\nAnswer: -110335135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1211 times 0.4?\nAnswer: -484.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-9)*v)*v**(-6))\/(v*v*v\/(v\/(v*v**3)*v*v)*v)**(-3\/8) assuming v is positive.\nAnswer: v**(39\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1852?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 1\/10 (c) 0.46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10465 divided by -5.\nAnswer: -2093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -83 + 97. Suppose 2*t + 30 = 8. Let j = t + b. Solve k = -j*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and (-4 + 322\/49)\/(9\/21)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18784920 rounded to the nearest one hundred thousand?\nAnswer: -18800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 119065 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4168726 and 20843630.\nAnswer: 20843630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 38+9.2\nAnswer: 47.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(1\/6)*h**1*h**(2\/11)\/h**(-1\/6)*((h**(-1\/3)\/h)**36)**(-2\/3) assuming h is positive.\nAnswer: h**(1139\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136147?\nAnswer: 11, 12377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) -0.24 (c) 2\/55021\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 1411430257?\nAnswer: 1411430260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 9) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.25 - -0.2. Let i = 1.05 - 0.4. Let k = -0.15 + i. Sort k, -0.4, l in decreasing order.\nAnswer: k, l, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i - 2*i + 2*i + (-1 - 2 + 5)*(-4*i + 3*i + 2*i) - 3*i + 0*i + 5*i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 270\/55)*-13 - -1\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - -1)\/(1\/10). Suppose 2*x + 2*f + 8 = 0, x + 7 = -2*x + 2*f. Let r = i + x. Solve c - 1 = 4*g - r, 5*g - c - 8 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 97\/4 + (-1)\/4. Suppose -2*p + r - 5*r = -l, 0 = 4*p - 3*r - 37. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1392\/(-38367)*-42*(-3 + 22\/8)?\nAnswer: -8\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1.2 (b) 2\/31 (c) -0.2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 12:44 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -h**4 - 4*h**3 + 8*h**2 - 51. What is s in l(s) = 0?\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1118.\nAnswer: 2, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gsgvsssssssufhsshsss. Give prob of picking 1 h, 2 g, and 1 u.\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 6:35 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k - 11. Let u = 7036 + -7030. Let z(j) = -j + 6. What is u*t(l) + 11*z(l)?\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.032972 - -0.0332. Round o to five dps.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 10:15 PM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 2*a + 2. Let s be (-1)\/a + 15\/10. Find the second derivative of 5*j**4 - s*j**4 - 5*j - 2*j**4 wrt j.\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3.8 (b) -2\/21 (c) -3\/4 (d) -2\/3881 (e) 0 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) - (sqrt(18) + sqrt(72)*-3 + sqrt(18) - sqrt(18)))\/(sqrt(6) - (sqrt(120)\/sqrt(5) + sqrt(24))\/sqrt(4)).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + 5*o - 4. Suppose -4*l + 7 + 13 = 0. Let y(w) = 4 + w**2 + w + 4*w + 0*w - 11*w + 0. Determine l*y(u) + 6*m(u).\nAnswer: -u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 35.9538um?\nAnswer: 35953.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -485*s**2 - 255*s + 132*s + 123*s as u*s**2 + k + c*s and give u.\nAnswer: -485","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -h - 3*x + 22, 4*h = -4*x + 56. Let g = -6 + h. Suppose -37 = -g*t - 2*z, 3*t + t + 2*z = 48. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -3*v - 2*j + 4, -4*v - 28 = -4*j. Let n be 2 - -1 - 2 - 2. Put v, 3, n in decreasing order.\nAnswer: 3, n, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -246b99 (base 14) to base 4\nAnswer: -10300231003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of -i**5\/60 - i**4\/24 + 22*i**3\/3 + 2*i**2. What is the tens digit of x(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100148*b**2 - 100093*b**2 + 3*b - 3*b.\nAnswer: 55*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 332892549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (6\/7)\/(8\/28)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 91 = 5*c, 6*c = -3*t + 10*c + 125. Calculate the remainder when 167 is divided by t.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9469 and -49.118.\nAnswer: -9518.118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (1297\/5188)\/((-161)\/84)?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*f = 0. Let n be (-7 - f)\/(-1 - 0). What is the units digit of (-20 - -1)*(-9 + n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/((sqrt(392) - (sqrt(392)*4 + sqrt(392))) + sqrt(392)))\/(sqrt(10)\/((sqrt(50)\/sqrt(5))\/sqrt(5))).\nAnswer: -sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/6*18\/390*13*15.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(8\/11))**(-41)\/(q\/(q\/((q**(-28)*q*q)\/q)))**(6\/23) assuming q is positive.\nAnswer: q**(-5762\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*r + 225 = -5*c, -3*r = 5*c + 1676 - 1681 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/(-72))\/(22\/6).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r + 86. Let s(w) = -3*w - 38. What is 2*n(f) + 5*s(f)?\nAnswer: -5*f - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 230 + -12?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9.6 - -3.1. Let i = -3.5 - v. Sort -0.9, -1, i in descending order.\nAnswer: i, -0.9, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 320*k - 5. Let x be 4*(30\/(-8) - (-11 - -7)). List the prime factors of r(x).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2710437, 2710263, 2710089, 2709915?\n\"Answer: -174*r + 2710611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0 - -1)*7)\/((-271)\/(-271))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 180381410 and 8300?\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11753316569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/(-825)*10)\/((-1)\/(6\/(-4))).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 318 - 316. Let w(d) = d**2 + 8*d - 14*d + u - 12 + 0*d. What is w(7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(2*v + 3*v - 8*v)*(-4 - 2 + 5).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1240 or -1237?\nAnswer: -1237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -18\/91 (b) 10\/3 (c) -2\/999\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, 69699, -1, -4.\nAnswer: -53, -4, -1, 69699","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 946 or 12195?\nAnswer: 12195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 459457 and 24539?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 14135806\nAnswer: -5\/14135806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -708*p + 2. Let v(n) = -2*n**2. What is v(d(t))?\nAnswer: -1002528*t**2 + 5664*t - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -74 - -14. Is 16 a factor of 9\/(3 + -6) + (-2 - f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/3*4\/(-1))\/(-5)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, r: 2, a: 1, k: 9, u: 1}. Give prob of picking 1 p and 1 u.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*b - 10 - 40 = 0, -2*g - b = -24. Let z = -42 + 91. Suppose -5*r = -z + 14. Calculate the smallest common multiple of g and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - p = -2*n + 34, -38 = -4*p + n. Is p\/(-4)*-28 + -3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 3*l - 112. Suppose t - 3*v + 36 = -t, -t - l = -4*v. Let u(z) = -z**3 - 12*z**2 - 5*z. What are the prime factors of u(t)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1065 divided by 519967.\nAnswer: -1065\/519967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n - 12. Let o(q) = -1. Give -60*o(p) + 5*u(p).\nAnswer: -15*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 12*i = -17*i + 435, -4*i = 2*r - 292. Calculate the smallest common multiple of r and 120.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -0.0314\nAnswer: -0.0314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 934183587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34546, -69098, -103666, -138250, -172850?\nAnswer: -207466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 24 = 3*v, -v = 5*h + 2*v + 6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5030067, 10060131, 15090195, 20120259?\nAnswer: 25150323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffgeicme. What is prob of sequence iiie?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -10. Let j be (8*1)\/(n\/(-9)). Let m(p) = p**3 + 12*p**2 + 13*p + 14. Let q be m(-10). Calculate the highest common divisor of q and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -6*n**2 + 2*n + 6. Let k(b) = -255*b + 90*b + 25 - 25*b**2 + 89*b + 85*b. What is -9*i(r) + 2*k(r)?\nAnswer: 4*r**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1615, -3381, -5393, -7771, -10635, -14105, -18301?\nAnswer: -23343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -1. Let p(d) = 2*d + 13. Let w be p(-14). Is (-17)\/r*(w - -7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*z**2 + 18\/7 + 0*z.\nAnswer: -2*(z - 3)*(z + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 491 divide 523720240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 times 0.04\nAnswer: 0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 + 33. Which is smaller: q or 12?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + 0 + -3 + sqrt(5) + 4 - ((4*sqrt(35)*-2)\/sqrt(7))**2.\nAnswer: -319 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1846 and 11.\nAnswer: 20306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(5)*-5*6 + sqrt(2205) + -1.\nAnswer: -39*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 34.4977 to 0 decimal places.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 2\/15, 0.3, -0.3, -34?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5674373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -63, 3\/2, -0.3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.201 - -1.7?\nAnswer: 1.901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -2*v + 20. Suppose 3*i - 4*m + 5*m - 2 = 0, i = -m. Let y = v - i. Does 5 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 550 is divided by 103.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/12 + 35\/3. Suppose -3*i - i + p = 0. What is the second derivative of -2*b**4 - 8 - i*b + 8 wrt b?\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z = -8*z + 306. Let t(h) = 9*h**2 - 2. Calculate the remainder when t(2) is divided by z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -7*p - 61. Calculate the common denominator of (11\/(-88))\/((p\/174)\/(-3)) and -37\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 43 = -148. Suppose -7*b - 14 = -y. What is the derivative of 2 + 5*w**2 - b*w**2 - 14 wrt w?\nAnswer: 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**2*l)**4*l**(-1\/3)\/l**1 assuming l is positive.\nAnswer: l**(32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.42 + 0.08. What is the closest to s in 5, 2\/13, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 71573152 and 176.\nAnswer: 787304672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 9*x**2 + 6*x + 9. Let i be p(-8). What is the units digit of ((-30)\/i)\/(3\/(-10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**5\/2 + 3*c**4\/2 + 9*c**3\/2 - 27*c**2\/2 = 0.\nAnswer: -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1045.\nAnswer: 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -12, 136, 378, 708, 1120, 1608, 2166?\n\"Answer: -y**3 + 53*y**2 - 4*y - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 4 + 0)*(-i + 3*i - i)*(9 + 70*i - 136*i + 53*i) as q*i**2 + o + y*i and give y.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 4*q - 4, a + 4*q = -a + 22. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, -5, -0.2, -0.281, -1 in descending order.\nAnswer: 3\/2, -0.2, -0.281, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (95 - (0 - 0)) + 4. Let y be (-378)\/z - (2 - (-1 - -7)). Find t such that -2\/11*t**2 - y*t + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19036\/14277)\/(8\/(-282)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39.985 - 40. Round t to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/2 - 42667*z\/2 + 21333.\nAnswer: (z - 42666)*(z - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 0*q + 0*q)*(2 + 0 - 5) + 1 - 1 + 6*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 1, -11, -5, -2\/37, 111?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 d when two letters picked without replacement from {x: 1, r: 1, c: 2, d: 2, n: 1, o: 2}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5*5*sqrt(275) + 4.\nAnswer: -125*sqrt(11) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 4 = -6*x, -3 + 3 + 4 = -2*w for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-13)\/y)**(11\/2)*(y**15)**30 assuming y is positive.\nAnswer: y**373","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3163, -6333, -9481, -12595, -15663, -18673?\nAnswer: -21613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/((-120)\/207)*74\/(-111)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231290070 to the power of 1\/3, to the nearest integer?\nAnswer: 614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 604*w**2 - 126*w**3 + w**4 + 186*w**2 - w + 2 - 779*w**2 in the form b*w**3 + m*w**2 + j*w**4 + p*w + c and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -301*k + 5716. Let i be v(19). Sort i, 5, -184, 1 in ascending order.\nAnswer: -184, i, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -498 + 588 = 4*y - 6*l, -2*y + 5*l = -71 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 66 = -4*c, -3*c + 4*a - 68 = c. Let k be (-9)\/(-4) - c\/20. Solve 0 = 3*t + 2*j + 8, -k*t + 16 = -8*t - 2*j for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 + 8565624*k + 4585619656836.\nAnswer: 4*(k + 1070703)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 7. Suppose 0 = -q*k + 4 + 8. Solve -k*n - n = i - 18, -n = 2*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*k**3 - 4*k**3 - 14754*k + 4*k**3 + 14752*k + 2 - 5*k**4 - k**2 as f*k**3 + s + j*k**2 + z*k**4 + y*k and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -14, -26, -40, -50, -50?\n\"Answer: l**3 - 7*l**2 + 2*l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/4))**(-25)*(x\/x**(-1))**(2\/3))**(-2\/69) assuming x is positive.\nAnswer: x**(59\/414)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.1, 2041, -0.2, -83 in decreasing order.\nAnswer: 2041, 0.1, -0.2, -5, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2491, 4991, 7491, 9991, 12491?\nAnswer: 14991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31 and 12377773?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-5)*((-16)\/(-4) - 1)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 11 + 1 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 397*s + 1764 = 400*s. Suppose -5*p = -2277 - s. List the prime factors of p.\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3341 (base 10) to base 6.\nAnswer: -23245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h**3*k**2 + 74225*h**3*k + 11051*k**3 wrt k?\nAnswer: -4*h**3 + 66306*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ytyxyyytyttytkktyy. What is prob of picking 2 k?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 74860?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u. Let y be t(5). Let z = 11 + -2. Let l(a) = -a**3 + 8*a**2 + 2*a - 14. Let p be l(8). Solve p*c = -y*f - 20, -6*c = -3*f - 3*c + z for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 14. Let k = o + 2.7. Let p = 0.048 + 0.952. Which is the second biggest value? (a) p (b) k (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2322957 and 6858.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39784\/559 + -924\/13. Sort j, -1, -2 in decreasing order.\nAnswer: j, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -21 + 6. Suppose -q*l = -5*j + 16, 4*l + 3*j = l + 24. Suppose -2*c + 303 - l = 0. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e + 130a90?\nAnswer: 130a82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62936?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13398713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -23401.66431 rounded to the nearest 1000?\nAnswer: -23000","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: Solve -4*l - 26 = 2*r, -5*l + r - 15 = -0*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1205, 2409, 3613, 4817?\n\"Answer: 1204*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -700 or -168?\nAnswer: -700","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -156*g**2 - 310*g**2 - 2*g**3 - 55*g**2 - 111*g**2 + 70*g**2 in the form h*g**2 + n + p*g + s*g**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6145*t**3 - 174007*t wrt t.\nAnswer: 36870*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33.41 - -0.5.\nAnswer: 33.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -789*y + 8029 = -2228 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 193720 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 403.67 and 4.\nAnswer: 407.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 72173744763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/36 and 31\/30229748.\nAnswer: 272067732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-14) - 12\/(-42). Find the second derivative of w*z**4 + 2*z - 3*z**4 - z**4 + 2*z**4 wrt z.\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-5)*4\/(-3). Let s be 1*(-4 - (-12)\/4). Which is the nearest to s? (a) m (b) 5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvhvvvvvvvhhvvvhvvh. What is prob of sequence vvv?\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8327252327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -166 - -1?\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1910942655 and 369.3.\nAnswer: 1910943024.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/2)*z\/(z\/z**2*z)*(z**(-2\/3))**(-30))**(16\/7) assuming z is positive.\nAnswer: z**(360\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -260.9 - -238. Let h = o + 23. Let l = 15 - 19. Which is the closest to h? (a) 4 (b) 1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z + z**4 - 8*z**4 - 2 + z**2 - 3*z**2 + 3*z**4 in the form j*z**2 + v*z + a + w*z**3 + q*z**4 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10881393?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 3438 divide 7745037012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -96 + 151. What is the remainder when 0 + 2\/24 + (-178756)\/(-1104) is divided by o?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/12)\/((-2)\/8). Let h = -4 + 5. Let f = h - 0.5. What is the closest to -2\/7 in y, f, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3355242 and 3741?\nAnswer: 144275406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 1\/4 (b) 6 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 3:18 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 552 is divided by (26\/195*-490)\/((-2)\/3)?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2\/2 - 55*v - 120.\nAnswer: 5*(v - 24)*(v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {k: 5, z: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*z**2 - 2*z - 12*z**2 - 15*z**2)*(z + z - 5*z + (-2*z + 0*z + 3*z)*(0 - 2 + 3)) + z**3 + 2 - 2.\nAnswer: -5*z**3 + 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y = 74 - 29 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 966798026?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = d, 10*r - 11*r - 4*d - d = -6 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 3*s**2\/7 + 2804532*s + 373001673\/7 = 0.\nAnswer: -6543889, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g. Let c be ((-4)\/(-6))\/(18\/27). Let o = 4 - c. Suppose 0 = o*v - t - 10, 2*t + 14 = 3*v. Give l(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10 + 0 + -12 + 9. Suppose 7 = 10*k + l. Let z = 14 + -9. Solve -r + k*r + z = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5766 or 1.95?\nAnswer: 1.95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -142*n + 175*n - 1238 - 379. What is the greatest common factor of 378 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 7*n**2 + 12*n - 11. Suppose -9*y - 52 = -4*y + j, -2*y = -5*j - 17. What is v(y)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11562 or -11708?\nAnswer: -11562","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**2 - 64*j + 132 = 0 for j.\nAnswer: -66, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 156 + -136. Calculate the lowest common multiple of x and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of 17*s**6\/3 + 7*s**2\/2 + 20. What is the second derivative of t(i) wrt i?\nAnswer: 680*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -62 and 0.031.\nAnswer: -61.969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by 203503?\nAnswer: -12\/203503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -651*y - 343 - 21791 for y.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 10:54 AM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.59 (b) 3 (c) -5\/11 (d) -0.3 (e) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j**5 - 2*j**5 - 2*j**5)*(4 + 1 + 9).\nAnswer: 14*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -1, 6\/19, 10, 6170?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -338 - -330.55. Round z to 0 dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 16*t + 144. Give l(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -541*c - 9198. Let s be w(-17). Is s > 63\/409?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 + -21. Suppose j + f = 5. Which is smaller: j or -5\/12?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210112012 - 111?\nAnswer: -210112200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1554520000 to the nearest 1000000.\nAnswer: 1555000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*q = -15, -2*d + 20*q + 10 = 21*q. Calculate the remainder when 142 is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 + -29. Solve -2*k + g + 1 + 3 = 0, v = -4*k - 3*g - 12 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y + 1. Let v be b(-1). Suppose -10 - 2 = -v*n. Let d be (0 + 1 - 0) + -1. Solve d = 3*l - 5*c - 35, -7 = -3*l - c + n for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -33?\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - -6 - ((0 - -48)\/4 - 5). Solve 3*p = 2*j - 14 + 4, g = -5*p - 4*j - 24 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - o - 2, -3*q + 2*o + 2*o = -8. Suppose -8*x - 455200 = -q*x. What is x rounded to the nearest 1000?\nAnswer: -57000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 552 and 232440668?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, -1, -28, -89, -196?\nAnswer: -361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13\/34 + -2\/17. Which is smaller: 20.1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -57 (base 8) to base 9.\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 r when four letters picked without replacement from {r: 3, q: 11}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 802*l + 3909 + 5052 + 13495 for l.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*y + 69. Let n be (-3 - -9) + -4 + 3. Let v be (8\/n)\/((-14)\/y). Solve -15 = -l - 3*l + 5*a, 2*l + 12 = -v*a for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 299750500 and 10500?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/8 in -1, 0.5, -2\/5, -2\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/3))**(-7)\/(z**(6\/11)*z*z*z**(2\/15)*z))**(-1\/40) assuming z is positive.\nAnswer: z**(-163\/6600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -0.03, 2, 131, -1.3, -1?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3010 * -186.\nAnswer: 559860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 5 - 7 = 0. Suppose -5*a - 5*y + 85 = 0, y - 77 = -5*a - x*y. What is the second derivative of 10*f + 2*f - a*f**2 + 2*f wrt f?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002485364055 rounded to five decimal places?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 40 = -4*v. Suppose -5*w = -2*c - 96, w + 2*c = -0*c + 12. What is the lowest common multiple of v and w?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 33*n**2 + 216*n - 28. Does 31 divide s(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -8*q + 2*q. Suppose -7*x = -q*x - 225. Suppose -67 = -4*u + x. Is 8 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2dde + -1e00?\nAnswer: fde","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -6*k + 2. Let z(t) = -t**3 - 7*t**2 - 6*t + 8. What is the smallest common multiple of a(-1) and z(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -87? (a) -3790 (b) -1\/4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1555586 (base 10) to base 6\nAnswer: 53201442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.35 in 0, 2, 0.5, 3, 22\/59?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 145138\/27 < 177?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90509?\nAnswer: 29, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (160\/25 + -6)\/(7\/(-5)). Which is the nearest to n? (a) -1\/2 (b) -4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 24*k**2 - 8 in the form j + o*k + i*k**2 and give i.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2303 = -0*v - 3*v, 0 = 3*f + 3. Does 69 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5577 = 4*y - 917, -2*h + 2*y + 6518 = 0. Let m = h - 1270. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in five eighths of a milligram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 38 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + 4*r + 2*r)*(-2*r + 2*r - 3*r**3) + 5*r**4 - r**4 - 3*r**4 + (-r + 8*r - 5*r)*(-2*r + 2*r + 2*r**3).\nAnswer: -r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 18 = -2*u. Let k = 6 + u. Let z(t) = -5*t + 2. What is the tens digit of z(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8121455 + -6?\nAnswer: -8121461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 + 4*n - 6.\nAnswer: 2*(n - 1)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -4787, -101, -4, -1, 4 in decreasing order.\nAnswer: 4, 2, 0, -1, -4, -101, -4787","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*t**2*v**3 - 14872*t**2*v**2 + 5986*t + 14*v**3 wrt t.\nAnswer: 16*v**3 - 29744*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*b - 0. Let p be ((-2)\/b)\/((-1)\/(-16)). Find the common denominator of (118\/p)\/((-28)\/8) and 51\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 10*j**2 - 23*j - 16. What is h(-4)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 5*a**2 + 4*a - 6. Suppose -4*z + 16 = 4*y, 0*y - 3*y - 2*z = -13. Determine i(y).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -3. Suppose 0 = w - 4*w + 12. Suppose -i - 4*i + w*h + 25 = 0, h = -i + 14. Solve -m*k = i, -4*f + 4 = k - 1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/((3\/4)\/(40\/880))\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 13) to base 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -y**5\/20 - 5*y**4\/12 - 2*y**3\/3 - 2*y**2 - 6*y. Let t be v(-4). Which is smaller: -16\/3 or t?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/9, -14, -4, 5?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**3 + 2992*t**2 + 2238016*t = 0. What is t?\nAnswer: -1496, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of r**5\/20 + 13*r**4\/12 + 15*r**3 + 2*r**2 + 25*r. Is w(-13) a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 109204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22) - 2*sqrt(22))*3)\/((sqrt(22) - sqrt(198))\/sqrt(11)) + 0.\nAnswer: 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/2)\/q)**(6\/13)\/(q**(-1)*(q*(q\/q**(-1))\/q*q)\/q) assuming q is positive.\nAnswer: q**(-16\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 13*v**2 + 8*v + 156. Calculate b(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in 0.3, 0.6, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j + 4*j, -8 = -2*r - 5*j for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 76 = -3*k, 50 = 4*k - 2*k - 3*p. Let c = k + -18. Let v be c\/(-6)*(-33)\/11 - 2. Solve y + v = -2 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2*d + 93, 3*d - 4*f = -3*f - 141. Let w = -32 - d. Suppose 20 = 5*j, 2*b + 5*j - 157 + 29 = 0. What is the lowest common multiple of b and w?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*y + 85 = -60*y. Suppose -5*f - 3*p + 0*p = -11, 4*p - 8 = -5*f. Suppose f*u - u = 9. Solve -u*v = -y*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 2227.84429?\nAnswer: -2227.84429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (5 - 105\/30)\/(1\/(-6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1496 and 740?\nAnswer: 276760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2735 by -2735.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 8, j - 137518 - 176350 = -2*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3 + 68*w**2 - 1252*w + 4060.\nAnswer: 4*(w - 7)*(w - 5)*(w + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 6*d + 25. Suppose j + 33 = d*k, 0*j - j - 31 = -3*k. Let x = j + 79. Does 22 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 23, -1\/19, 2059?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2950637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.259 + -0.259. Put 61, -3\/4, t, 0.5 in decreasing order.\nAnswer: 61, t, 0.5, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 1:54 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -2*h - 8. Suppose -8*l + h*l = -144. What is the remainder when l is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + 4 + 15 + 4 + -1 + -9?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000209203 to six dps.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -111010101111001?\nAnswer: -111010101111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64782 and 3413799?\nAnswer: 416483478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*b = -9. Let u = -9 - -15. Calculate the least common multiple of u and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.0694, 1\/3, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-22))**(-3\/2)*(d\/(d*d**(-5\/3))*d)\/(d\/(d**(2\/11)*d)*d*d) assuming d is positive.\nAnswer: d**(2135\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -x - 4*b, -5*x + 2*b = 4*b - 21. Let u(m) be the second derivative of -36*m**2 - 3*m - 1\/6*m**4 - 4*m**x + 0. Factor u(t).\nAnswer: -2*(t + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 + -30)\/(8 - 9). Let w be 5\/(-2) + y\/6. Solve -m + w = 5 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -11, 0, 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 4091 in ascending order.\nAnswer: -1, 3, 4091","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 - (22 - 68) - (1 + 14).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g + 15. Give x(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -14*p + 32. Let s(l) = -l + 1. Let v(k) = f(k) - 12*s(k). Let i = -1 + 6. Is 6 a factor of v(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39703337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64\/(9 - 13) - -2239 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*37159.\nAnswer: -18579.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a + 5*o - 37 = 3*a, -3*a - 3*o = -24 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**5\/5 - 8*j**4 - 58*j**3 - 188*j**2 - 280*j - 784\/5.\nAnswer: -2*(j + 2)**3*(j + 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59 + 20 - 94 + p - 66 + 5.\nAnswer: p - 194","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 24279323 - -9?\nAnswer: 24279332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -33421265 (base 7) to base 11\nAnswer: -16a8973","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-63)\/30)\/((-51)\/105 + 1). Let m = 905\/36 - 260\/9. Let a = m - r. Does a = 0.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43357 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6936 + 79.423.\nAnswer: 7015.423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - 2*a + 4. Let i be b(3). Is 11 a factor of (-10)\/(-2)*(-121)\/i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21871 + -9.4648.\nAnswer: 21861.5352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -16. Let v(k) = 2*k**2 - 5*k + 8. Calculate the remainder when v(n) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52193 (base 10) to base 11\nAnswer: -36239","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4 + 4 - 2*i. Let c(w) = -17*w**2 + 30. Let d(x) = -60*x**2 + 108. Let o(q) = -18*c(q) + 5*d(q). Give o(r(n)).\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-193)\/5 - (-4 + 3). Let q = k + 38. Determine y, given that -2\/5*y**3 + 0*y + 2\/5*y**2 + 0 - q*y**4 + 2\/5*y**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 - 36. What is the second derivative of 6*b**5 - 2*b - 9*b**5 - 17*b**l wrt b?\nAnswer: -400*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y + 444. Give g(23).\nAnswer: 398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 43, 89, 153, 235, 335, 453?\nAnswer: 589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216091.\nAnswer: 216091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of -35*j**5\/12 + 355*j**3\/6 - 376*j**2. Find the first derivative of k(q) wrt q.\nAnswer: -350*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(48) - (sqrt(363) + 1 + sqrt(363) + sqrt(363)))**2.\nAnswer: -174*sqrt(3) + 2532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 16701.4292 to the nearest 10.\nAnswer: 16700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 44*i**2 + 219*i**2 - i**3 - 66*i**2.\nAnswer: -i**3 + 109*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h**12*h))*h**(-9\/7)*h)**47 assuming h is positive.\nAnswer: h**(4183\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (77601\/(-2))\/(2 - 70\/20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 - 11. Suppose -v = -k - b, 5*k = v - 4*v + 25. Suppose 0 = -5*i + 39 + 21. Calculate the lowest common multiple of i and v.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 22520012 = 3*b, -4*q = q - 5*b - 28149980. What is q rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of z**8\/42 + z**7\/21 - 11*z**6\/60 - 23*z**5\/30 - 13*z**4\/12 - 2*z**3\/3 + 10*z**2. Factor n(x).\nAnswer: 2*(x - 2)*(x + 1)**3*(4*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d - 2. Let o be y(4). Suppose 3*i = -11 + 17. Suppose -i*c + c + 2 = 2*j, -2*c + o = 3*j. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1118360463?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d**2 - d**2 - 6*d**2)*(-3 + 8618*d**2 + 3 - 10238*d**2) to g*d + x*d**4 + w*d**3 + k + z*d**2 and give x.\nAnswer: 9720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -633.5 and 0.3.\nAnswer: -633.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02756 to 3 decimal places.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1566480?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 353706 (base 8) to base 16.\nAnswer: 1d7c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + (-3)\/12 + 5\/4. What is the fourth biggest value in 3\/5, -1, w, 1\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (7 - 27) + 14 - 3 - (5 - 133).\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 0*f + 4*f - 30*x + 148 = -33*x, f = 11*x + 504 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of w**5\/60 + w**4\/24 + 8*w**2. Let n(r) = -r**3 + 5*r**2 + 8*r. Determine 5*f(i) - n(i).\nAnswer: i**3 - 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -441\/2*j**2 - 42*j - 2 = 0 for j.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2820833976?\nAnswer: 2, 3, 71, 1655419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**3 + 6. Let h(w) = -w**2 + 1. Let p(g) = 12*h(g) - 2*q(g). Factor p(s).\nAnswer: -4*s**2*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*k + x + x, 0 = 3*k - 5*x - 25. Let v = -88 - -92. Put -4, v, k, -2 in descending order.\nAnswer: k, v, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50\/15)\/(((-194)\/(-679))\/((-9)\/(-7))).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4\/77 - -18\/77. Suppose -d + 3 = -5*g, -d + 2*g = 4*g + 4. Which is smaller: d or y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 - 10*d + 116. Let p = 560 - 560. Calculate the remainder when w(p) is divided by 108.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21 - (-3465)\/(-168)) + (-1176)\/64?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (-42 + (39 - 18) - 15)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42540*o**2 - 95*o + 8 wrt o.\nAnswer: 85080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-676 + 1396 - 477)*(l + 1 - 1)*(l**2 - 3*l + 3*l) - 17*l**3 + 7*l**3 + 4*l**3 to x*l**3 + z*l**2 + o + a*l and give x.\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1175 (base 8) to base 3.\nAnswer: -212121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10684 + 11461. Calculate the smallest common multiple of 7 and k.\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*u = 129*u + 9. Suppose 0 = 2*p + 3*p - 5. Sort p, u, 2.\nAnswer: u, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 686 + -681. Which is the second biggest value? (a) u (b) -11 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*f = -10, 2*n - 6*f + 3*f = -17. Let l be (-4 - (n + 0))\/((-9)\/(-12)). Solve -4 = l*p - 3*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -f**5\/30 + f**2. Let z(o) = 2*o - 2. Let j(d) = 1. Let y(k) = 2*j(k) + z(k). What is y(p(h))?\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 198\/63*42\/12?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 594\/7425 - (-119)\/(-550)?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in 14\/9, -3837, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/10814366 and -95\/1168.\nAnswer: 86514928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -58, -230, -516, -916, -1430?\n\"Answer: -57*g**2 - g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 335153111 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -20379496, -40758993, -61138494, -81517999?\n\"Answer: -2*b**2 - 20379491*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 18228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/7 of a week in days?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 391 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -93, -5 in decreasing order.\nAnswer: -1, -3, -5, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*s = 20. Suppose -5*d + 5*q - 5 + 15 = 0, 0 = -2*d - s*q + 4. Solve 0 = -3*w + 5*w - 5*r + 13, w + 5 = d*r for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/5217322 and -25\/8.\nAnswer: 20869288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1897 + -116247960918.\nAnswer: -116247962815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 54 times 23113\nAnswer: 1248102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (9 + 133\/(-21))*1503\/4.\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11\/33 - (-154)\/33. Solve f - 5*t - 15 = -0*t, -37 = n*f + 3*t for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -7*r + 3. Let b be p(0). Let k(d) = -2*d**2 - 3*d + 1. What is k(b)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-7035)\/(-18) + (-75)\/90?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 135 - 7b407?\nAnswer: -7b2c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, g: 2, y: 1, a: 1, c: 1, f: 1}. What is prob of picking 1 f and 1 a?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75, 540, 1823, 4338, 8499, 14720, 23415, 34998?\nAnswer: 49883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -5, -7, 25, 40, -14 in increasing order.\nAnswer: -14, -7, -5, -2, 1, 25, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 - 0 - (-85 - -91). What is the nearest to -2\/5 in l, 2, -15, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 5*c**2 + 2. Let y be j(-5). Suppose 507 = g - 5*z + 161, -y*z = 6. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5745 + 4745*q + 5745.\nAnswer: 4745*q","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -97 - -129. What is the remainder when 93 is divided by b?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -50\/3 or 0.1?\nAnswer: -50\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -129, -229, -305, -357, -385, -389, -369?\nAnswer: -325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j**4\/j))**(-47)\/(j**(-15)*j**8) assuming j is positive.\nAnswer: j**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -219, -1614, 1 in ascending order.\nAnswer: -1614, -219, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8696641?\nAnswer: 823, 10567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 374 = -7*c. Let f = c - -61. Let i(b) = -b**2 + 8*b - 7. What is i(f)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/541 less than or equal to 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.152333ml to litres.\nAnswer: 0.006152333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 14407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 754275252 is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13679?\nAnswer: 13679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/(-6))\/((-21)\/70). Let o = 3.1 + -3. Let j = o - 0.1. Which is the nearest to 0.1? (a) u (b) -2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 19. Suppose 0 = 3*y - 5*z + w, 7 = 6*y - 4*y + z. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 70445237*g**4 + 20999279*g**2 wrt g.\nAnswer: 1690685688*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k - 2. Calculate p(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16552\/21 - 2380\/3. Let v = -60 - -55. Are v and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y + 6*y - 5*y + (5*y - 5*y + 2*y)*(25 + 1 - 13) to u*y + j and give u.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 30*r. What is l(2)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -83680090 rounded to the nearest 1000000?\nAnswer: -84000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -156647977, -313295956, -469943939, -626591926, -783239917, -939887912?\nAnswer: -1096535911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56504.29 micrograms to nanograms.\nAnswer: 56504290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*r + 580 = 64 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*o**2 - 9 - 103*o - 3*o**3 + 34*o + 41*o + 28*o in the form x + f*o**3 + y*o + c*o**2 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (189 + -2 + 1)*8\/16. Calculate the highest common divisor of 658 and s.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 - -25.159. Let y = -0.059 + x. Is y at least 57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 + -3)*(1 - 2). Suppose 11*r = 6*r - 10. Sort -3, r, b.\nAnswer: -3, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, a: 16}. What is prob of sequence ab?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 15052*r**3 - 68 + 15050*r**3 - 38*r**2 - 30101*r**3 + 39*r. Give s(37).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6440)\/(-770))\/(-92) - 412\/66?\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -6. Let q(u) = -4. Let z(b) = b - 17. Let d(h) = 18*q(h) - 4*z(h). What is the units digit of d(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjj. What is prob of sequence jj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + -1 - (-1 - -6)) + (7 - 2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1005 - 1001. Let p(g) = 2*g**2 - 4*g - 3. What is p(y)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12678551.\nAnswer: 457, 27743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (-5 - ((-4 - -6) + (-6 - 0))).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) -0.1 (c) -0.7 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 320874174?\nAnswer: 2, 3, 1303, 13681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 19670?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 12562*g + 175858. Give k(-14).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b + b + 4*b)*(3 - 3 - 1) + (6*b + 13 - 13)*(-3 - 3 + 5).\nAnswer: -7*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 5*m**2 - 6*m - 3. Let a be g(6). Is 10 a factor of 9 - -4 - (0 - a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 + -8 + -30 - (0 - 0 - 14)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + m**2 + 2*m + 1639. Let c = -130 + 130. Is g(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710776 to the power of 1\/4, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -958*z + 960*z - 2*p = -10, -2*z + p - 8 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*i - 37*i - 24*i)*(-2 + 3 + 1) - 3*i - i + 5*i.\nAnswer: -97*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -2.3, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + -1)*-6 + -2*sqrt(5)*-2.\nAnswer: -2*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -53, 11, 3 in descending order.\nAnswer: 11, 3, -6, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122951*t + 122353*t + 24518 = 0 for t.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 2*q - 9. Let f(u) = 5*u - 7. Let v be f(q). Suppose 24 = v*y - 7*y. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 96 + 55 = b, 5*b = 5*f + 20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3058901016 and 23.7771.\nAnswer: -3058900992.2229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 250.9894 * 0.1.\nAnswer: 25.09894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - (33 + 2 + -3). Let r be -1 - z - (0 - 0). Let l(s) = -s**2 + 8*s - 3. Let o be l(5). Calculate the greatest common factor of o and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of 2*u**3 + 1437*u**2\/2 - 720*u + 2281. What is y in r(y) = 0?\nAnswer: -240, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95943007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, h: 14}. Give prob of sequence uhu.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*d - 380*d = -6810901. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 134511 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2*1552\nAnswer: -3104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.4074 * -1.725.\nAnswer: -12.777765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/30)\/((-8)\/648))\/((-39)\/130)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 8. What is the second smallest value in l, 0, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 15 = 2*o, 9*o - 5*c = 5*o - 45 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + h**2 + h + 2. Let q be r(0). Let p be q\/2 - (-30)\/(-5). Calculate the remainder when (p - (1 + -1))*-3 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -29, -38, -53, -74, -101, -134?\n\"Answer: -3*w**2 - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w + 15. Give u(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t, 1 q, and 1 e when four letters picked without replacement from ttttpqttqttet?\nAnswer: 72\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -402040 - -402045. Determine p so that 408\/11*p + 54\/11*p**2 - 426\/11*p**3 - 222\/11*p**4 + 168\/11 + 18\/11*p**t = 0.\nAnswer: -1, -2\/3, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41587684 a multiple of 1126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/4 - 102083*v\/4 - 229707.\nAnswer: (v - 102092)*(v + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of y**6\/345 + 8*y**5\/115 + 21*y**4\/46 - 699*y. Factor o(u).\nAnswer: 2*u**2*(u + 7)*(u + 9)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 449610.\nAnswer: 2, 3, 5, 7, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 510 divide 1846212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**4 - 119816*u**3 - 958614*u**2 - 2516436*u - 2156976 = 0. What is u?\nAnswer: -3, -2, 59916","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(882))\/((2*sqrt(99))\/sqrt(11)))**2 - (0 + (-4 + sqrt(8)\/(sqrt(8)\/sqrt(2)))**2).\nAnswer: 13\/2 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 500\/(-20)*-2*(-4)\/(-576) and 157\/228.\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 85550 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 7:12 PM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, t: 10}. What is prob of sequence ltt?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 1530*v**2. Let u(n) = -1539*n**2. Give c(u(h)).\nAnswer: 3623837130*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of 0*n**2 + 0 - n**4 + 14*n - 1\/6*n**7 + 0*n**5 + 0*n**3 + 0*n**6. Find the third derivative of q(d) wrt d.\nAnswer: -420*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*g**2 - 27*g**3 - 1 + 1.\nAnswer: -27*g**3 + 9*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 1 = -3*w - 3, 0 = j - 2*w - 2. Let v be 5\/j*(1 - -1). Solve v*t + 10 = -5 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ejmueppuh. Give prob of sequence eu.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of 9*o**5\/20 - 5*o**4\/12 - 21*o + 8. Let t(q) be the first derivative of f(q). What is the third derivative of t(c) wrt c?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**2 + 4*y + 16. Let u be p(-3). Let v be (-35)\/u - 4*1. Which is the second biggest value? (a) -4\/5 (b) v (c) 1.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fpjuofonj. Give prob of sequence pu.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + 57*o - 373. What is b(13)?\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-6*(-8)\/(-24))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - s = 4, 5*s + 68 - 69 = 4*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t = -3*u + 5*t - 17, 0 = -3*t - 15 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1341123 rounded to 4 decimal places?\nAnswer: -0.1341","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 39146.49mm?\nAnswer: 0.03914649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of 23*g**4\/12 - 279*g**2 - 2. Let x(t) = 46*t. Determine b(x(h)).\nAnswer: 2116*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 5*g**3 + 18*g**2 + 12*g + 17. Calculate a(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-5)*4\/16. Let n(k) be the second derivative of -v*k**2 + 2\/15*k**3 - 1\/30*k**4 + 0 - k. Factor n(d).\nAnswer: -2*(d - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 120 + -123. What is the second smallest value in 0.1, -14, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 12 = 2*r + r, 0 = 11*r + 2*w - 2*w + 3*w + 12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -37234807 - -0.7?\nAnswer: -37234806.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -1 - 175\/50?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = 2*l + 6, 22 = -4*g + l for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*f**2 - 2*f**4 - 3 + 1 + 3 + 2*f**3 to the form g*f + b*f**3 + a*f**2 + u*f**4 + m and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15994?\nAnswer: 2, 11, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4092 and 15996?\nAnswer: 175956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -43 (base 11) to base 15\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/8 (b) -2\/11 (c) 3 (d) 7.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.315 plus -0.08?\nAnswer: -6.395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of 5*q**8\/56 + q**7\/42 + 1055*q**4\/6 - 14*q + 40. Find the third derivative of u(m) wrt m.\nAnswer: 600*m**3 + 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 375724 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from geeygygyyggpygypgyy. What is prob of picking 2 p?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -4*w - 2. Suppose 104 = 3*p - 5*x, 96*x = 3*p + 101*x - 94. Calculate the remainder when p is divided by m(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/(-6)*((-165)\/10)\/11. Solve k = l - 1 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -277 - -558. List the prime factors of b.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-34)\/8 + (-8)\/(-32). Let i be 570\/40 + 1\/c. Calculate the highest common factor of i and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in decades?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*r - 6 = -5*u - 26*r, 8*u - 15 = -r for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*t**5 + 21715*t**4 - 3*t**3 + 17*t**2 + 2694*t - 1?\nAnswer: -180*t**2 + 521160*t - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.019504 rounded to 3 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-6)*3*19. Let v = 2 + j. Let b = 15 - 7. What is the remainder when v is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 245 - 250. Let b be 4 - -2*(-20)\/s - 4. Solve b*v - 15 = 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0706 * -0.3\nAnswer: 0.02118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 2. Calculate the highest common factor of b and 188.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**0)**(-17\/6))**(-29)*(w**(-2\/7))**(-25)\/(w**(-2\/3))**(8\/5) assuming w is positive.\nAnswer: w**(862\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k**3 + 19*k**3 + 18*k**3 - 4*k**3 + 5 - 3.\nAnswer: 28*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1075.97878 - 1076. Round x to 3 decimal places.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 4*r + 7. Let o be i(-5). Suppose -46 = -3*z + o*p, -p + 13 - 43 = -2*z. Solve -u = -5*c - 10, -5*u + z = -11 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*c**4*w**3 + c**4*w - 2*c**2*w + 3*w**3 + 13 wrt c.\nAnswer: -168*c*w**3 + 24*c*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/160 in 0.1, 18, -0.69, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/12? (a) 2 (b) -657 (c) -0.5 (d) -37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11002 - -120?\nAnswer: 11122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1021 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjeejjjjjjjej. What is prob of picking 3 e?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*p + 18*p - 20. Let v(c) be the first derivative of 3\/2*c**6 + 20\/3*c**3 - p + 37\/4*c**4 + 0*c + 2*c**2 + 6*c**5. Find n, given that v(n) = 0.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*x**5 - 214779*x**4 + 1237014*x**3 - 2256108*x**2 + 1064472*x + 440352 = 0 for x.\nAnswer: -1529, -12\/47, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 4 + -2 + 257. Round v to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 + 10 = -6*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 37, 54, 71?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*n + 317*n**2 - 117*n - 307*n**2.\nAnswer: 10*n**2 - 46*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -p**4\/3 + 7*p**3\/2 - 32*p**2\/3 + 21*p\/2 - 3 = 0.\nAnswer: 1\/2, 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2. Let c(x) be the second derivative of 41*x**3\/6 + 21*x. What is g(c(b))?\nAnswer: 1681*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3113 + -3110. Solve 2*h + 2 = 3*u, -8*h + 3*u + 13 = -c*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of 1\/12*i**3 + 6*i + 0*i**2 + 1\/84*i**7 + 0*i**4 + 0*i**6 + 0 - 1\/20*i**5. Factor d(u).\nAnswer: u*(u - 1)**2*(u + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2251331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*v + 62*v + 888 = 0 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-132)\/(-242))\/(49\/77).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -11 + 7 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 3*r + 6. Let i be -11 - 0 - (-4 - -3). Let z be i\/4*(-8)\/5. Does 6 divide h(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -62*s + 20. Let j be a(-5). Suppose -j = -2*o + 1108. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.11? (a) -1.029 (b) 94 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 721\/2 + -1443\/4. Which is the third biggest value? (a) -38 (b) -5 (c) -4 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 891 and 367202.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43 + 1014?\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -47 (b) 0 (c) -1 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p - 7. Let d be q(2). Let y be d*(-2)\/36 - (-10)\/12. Calculate the highest common factor of 5 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*o = -29*o + 49*o + a + 2, 10 = o + a - 0*a for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = -7*t + 172. What is the highest common factor of t and 315?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f - 4. Let v be i(-5). Suppose 0 = -4*p + 4, 5*p = -24*l + 20*l + 5. Which is the second biggest value? (a) -13 (b) -3 (c) l (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1789 - 998. Is y a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + -24 - (1 - (0 + 2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3293688?\nAnswer: 2, 3, 19, 31, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(11)*-3 + -4 + (sqrt(11) + sqrt(176)*-1 + sqrt(176) - sqrt(11))**2 - (2*3*sqrt(66))\/(sqrt(48)\/sqrt(32)).\nAnswer: -15*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -54? (a) -0.3 (b) -1\/3 (c) 1\/2 (d) -3\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g*g**(-2\/5)\/g))*g)**29)**(7\/2)*((g*(((g\/(g*g**(1\/7)))\/g)\/g)\/g)\/g)\/g**(2\/9)*(g**(-2\/7)\/g)**(-1\/3) assuming g is positive.\nAnswer: g**(36517\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.5399 - 3.332. Round v to 2 dps.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23548?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -64639.374 rounded to the nearest one thousand?\nAnswer: -65000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -r**7\/840 + r**4\/4 + 2*r**3 - 4. Let z(m) be the third derivative of c(m). What is the first derivative of z(a) wrt a?\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3996683198?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 717 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -55722020 greater than -55722021?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 6. Suppose b*i = -26 - 16. Let k be (-5)\/(-7) - 4\/i. Solve -6*a + 4*u - k = -3*a, -2*u = 2*a + 10 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 2:21 AM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/6, 0.42, 9\/5, -3\/2, 683, -0.5?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 27*(-1 - -2)\/1. Suppose 5*r = 2*v + m + 29, -3*r + 36 = -2*v. Is 3 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1695 and 63.\nAnswer: 35595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 554195.4 and -279064.2.\nAnswer: 275131.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a kilogram in grams?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4176*v - 1140*v - 26 + 50 - 7417*v - 25.\nAnswer: -12733*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/1 + 1 + -3. Let s be (p - (3 - 5)) + 0. Factor 7*n - s*n + 4*n + 4*n**4 - 4*n**2 - 8*n**3.\nAnswer: 4*n*(n - 2)*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1431 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2328 and -2694852265.\nAnswer: -2694849937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 1:44 AM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*l - 1327 = -2*h - h - 328, -3*l + 87 = -5*h for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ebbsbybybbybsbeeeybb. Give prob of sequence by.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 600\/(-160)*(-12)\/(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73279773 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4 (b) 2\/19 (c) 13 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66, 57, 36, -3, -66, -159, -288?\nAnswer: -459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away -47848464677.32?\nAnswer: 47848464673.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6276 is divided by 452?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -28*c + 152. Let f be g(7). Let s be (1\/1)\/(-5 - f\/8). Put 3, -16, s in descending order.\nAnswer: 3, s, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aiaawiaiii. What is prob of picking 1 w and 1 a?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p**(-2\/7)*p)\/p))**(1\/5)\/(p**0*p*(p\/(((p**(-1)*p)\/p)\/p))\/p))**14 assuming p is positive.\nAnswer: p**(-192\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16 + -11?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 111*c**2 - 33*c + 33. Let o(n) = 7*n**2 - 2*n + 2. Let y be 2786\/420*10 - 2\/6. Give y*o(t) - 4*u(t).\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -14*a**2 + 8*a - 21. Let o(k) = -41*k**2 + 23*k - 58. Let m(j) = 11*f(j) - 4*o(j). Give m(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -188*y. Let q(p) = -7*p - 29. Determine q(n(u)).\nAnswer: 1316*u - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16987 + 4?\nAnswer: 16990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -4*k. Let p(r) = r - 5 + 5 + 0. Give o(p(x)).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 56.09 - 0.09. Let n = 342647990.0000062 - 342648046. Let g = d + n. Round g to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (14 + 0 - 2) + 0. Suppose 4*f - 16 = 0, -z = -3*f + 5*f - 20. Suppose 56 = 11*k + z. Solve 0*c - i = k*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*h**2 - 22*h**2 + 3*h**2 + 19*h**2.\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uta when three letters picked without replacement from {t: 4, u: 2, x: 1, e: 2, a: 1}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 5:19 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*v = -136*v + 456. Solve -4*a + 24*o = 21*o - 15, -5 = v*a + o for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*x = -93*x + 33. Solve x*w - 9*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 4*o**2 - 21*o + 38. Let d be c(12). Suppose -368*w = -d*w - 16314. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1212002102112 - 1112?\nAnswer: 1212002101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -174*o**2 + 6*o - 1298 wrt o.\nAnswer: -348*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 957 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, r: 4, h: 1, e: 2}. What is prob of picking 2 c and 2 r?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15795000 and 14755.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -4. Let x(u) = u**2 + 4*u - 3. Calculate x(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -690516\/665 at most as big as -1038?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from zzpppzzzpz.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (5 + -1 - 6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 689291 to the nearest integer?\nAnswer: 830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3*p**3 - 4*p + 4. Let b(t) be the third derivative of t**6\/120 + t**4\/24 - t**3\/6 - 903*t**2. Determine -4*b(u) - g(u).\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1538037767 to the power of 1\/3, to the nearest integer?\nAnswer: 1154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1011, -1.7, -4, 4?\nAnswer: -1011","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3784.6 rounded to the nearest one hundred?\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 344\/(-19) - (-7314)\/69483?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 47889*a + 4 + 451*a**2 - 47889*a - 50*a**2 in the form f*a + c*a**2 + o and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3610510159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -122155, -122265, -122449, -122707?\nAnswer: -123039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 975?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/51*1\/2. Let q be 12*2\/(-2) + -3. Let m be 26\/(-24) - q\/20. What is the closest to 1\/5 in h, 2, m?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of 16*h**7\/105 + h**6\/120 + h**5 + 306*h**2. Find the third derivative of c(w) wrt w.\nAnswer: 768*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57.768012 seconds to days.\nAnswer: 0.00066861125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (59 - 33) + (-117 - -162)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 - 269*d + 15228.\nAnswer: (d - 188)*(d - 81)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-102)\/(-119))\/(((-2)\/1157)\/(16 - 30)) a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 9*q**2 - 7666*q + 30656. Give j(4).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - n + 10 = -55, 4*k - 3*n + 63 = 0. Let b = -60 - -39. What is the tens digit of k\/6 - (b - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25938 divided by -11?\nAnswer: 2358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3873719.\nAnswer: 3873719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = n - 48. What is the smallest common multiple of n and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1221)\/(-99) + (-2)\/(-3). What is the tens digit of ((-1550)\/13)\/(-5) + 2\/u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 15*o. Let i be m(-1). What is the units digit of 5\/(i\/(-9)) + 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 742 is divided by 65?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-6 - (-41)\/7) + 4. What is the smallest value in 3, -0.2, i, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.07 - 0.105?\nAnswer: 0.965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 58 = 5*l - 2*l, l + 24 = 9*c - 14*c for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/962325 and -109\/5040.\nAnswer: 15397200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1139198 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 85294080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 x when three letters picked without replacement from {w: 5, g: 1, x: 2, r: 1, d: 8}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + 1. Let t(v) = 256*v - 2812. Let q be t(11). Calculate the highest common divisor of q and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 21564?\nAnswer: 21568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three tenths of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 7*o**2 + 50*o - 14. Let s(f) = f**2. Calculate -6*s(j) + t(j).\nAnswer: j**2 + 50*j - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 448*l - 48 = 2*j + 450*l, -4*j - l - 81 = 0 for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 20 = -x. Let k(i) = i - i - x*i - 3. Give k(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105655883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 11 - (-4 - -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 10 = 2*v - 2, 3*v - 3*u + 3 = 0. Suppose 2*q - v*s + 1020 = 6220, 0 = -4*q - s + 10410. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m. Let s(i) = -18*i**2 - 4*i - 4. Let k(z) = -54*z**2 - 11*z - 11. Let n(a) = 4*k(a) - 11*s(a). Give n(y(v)).\nAnswer: -162*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -39352500 to the nearest 100000.\nAnswer: -39400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 250430905.99999945 + -250430877. Let g = 29 - u. What is g rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 - (-1 + 7)) + (2 - 1). Let n(w) = -1058*w - 5. Let u be n(m). Let y be 864\/u + (-2)\/3. Which is bigger: y or -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 253 - 76. Let r = 420452199 - 420452376.000087. Let x = r + t. What is x rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -9. Let o = 11 - 11.03. What is the fourth smallest value in o, 3, z, 2\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 - -29. Suppose 0*r = -a*n + 3*r + 99, -3*r - 15 = 0. Solve 5*b = -n + 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22120212202 - -2?\nAnswer: -22120212200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r. Let m(z) = z**3 - 4*z**2 - 2*z - 1. Let l be m(5). Let v(q) = 5*q + 9*q - 12*q**2 - l*q. What is o(v(f))?\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4850140 + 50*d + 4850140.\nAnswer: 50*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 316*f + 2777. Determine m(9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11415 is divided by 76.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1622364 - 1622363.229349. Let q = y - 0.542522. Let t = -0.228 + q. Round t to 5 decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 793*a + 796*a - 2383*a + 6*a**2 + 791*a + 10 in the form s + n*a + p*a**2 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -4*a - 188, 299 = 4*v - 425*a + 428*a. Solve 0 = -10*n + v - 150 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1520\/144*(-2)\/(-1*(-80)\/(-12))?\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 95.67007mg?\nAnswer: 95670070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c - k - 55, 3*c - 4*k + 16 = -19 for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 816 and 2744.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*p - 6 = 6*p, p + 4 = y. Let z(j) = -y + j + 2. Let h(v) = -2*v. Calculate h(z(t)).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11400*i + 11388*i + 216. What is the remainder when 5141 is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -75465, -150811, -226157, -301503?\n\"Answer: -75346*d - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is two sevenths of a week in days?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 1. Suppose 20 = -6*w - 40. Let f be ((-6)\/4)\/((-5)\/w). Put x, 4, f in descending order.\nAnswer: 4, x, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9545 and -0.095.\nAnswer: -9545.095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 192360614 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 812 - 1744. Let i = 12549086 - 12548154.0409. Let y = i + d. Round y to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 48*k - 3. Determine a(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1300 (b) 105 (c) 2\/245\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -129 - -129.0211. What is d rounded to three dps?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 12 - s)*(0*s + 9*s - 5*s) + (-s**2 + 2 - 2)*(2 + 2 - 7).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2018783 (base 9) to base 5\nAnswer: -233412132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*z**3 - z - 23*z**3 + 25 - 12 - z**2 - 12 - 13 as l*z**2 + p*z + o*z**3 + y and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -11. Let r be (-1*(-2 + t))\/(-2). What are the prime factors of (-2)\/(-3)*r*9?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -3, -2, 48 in descending order.\nAnswer: 48, 25, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = q + 20. Does 13 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 679863, 1359727, 2039591, 2719455, 3399319?\n\"Answer: 679864*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 208, -1768, -7248, -17984, -35728, -62232, -99248, -148528?\nAnswer: -211824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 933093?\nAnswer: 1866186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*r + 5*b - 7, -2*r + 9 = -b for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 39971896 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 + -28. Let i(g) = -g**2 - g - 1. What is i(a)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1060572 divided by -17106\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17 and 168810.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 6*h**2 + 25*h - 26. Give a(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -29, -79, -167, -305, -505, -779, -1139?\nAnswer: -1597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 578, 1134, 1712, 2312?\nAnswer: 2934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -321, 0.26, 14, 0, -1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4225*f - 3518*f + 54201 = 0 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 13586?\nAnswer: -13600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -70 + 109. Let o = 40 - d. Solve 3*i + o = -2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 64 + 4 = 0. Calculate the remainder when m is divided by (-3 - -2)\/((-9)\/63).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38*w**3 - 116*w**2 + 129*w + 33 wrt w.\nAnswer: 228*w - 232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, p: 2, x: 7}. Give prob of picking 4 x.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -26. Let k = 3 + f. Suppose -k = j - 38. What are the prime factors of j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 3*j - 110 = -12*j for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -w**6\/40 + w**4\/12 + w**3\/3 + 2*w**2. Let p = -293 + 291. Let c(b) = -16*b**3 + 11*b + 11. Determine p*c(z) + 11*j(z).\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 876, 877, 878, 879?\nAnswer: 880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31383 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10407 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1127 + 1132. Which is the nearest to -1\/3? (a) t (b) -1 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 5*k = 149, 4*w - 2*k = -5*k + 141. Let z(s) = 12*s**2 - 12*s - 60. Let d be z(-4). What is the greatest common divisor of w and d?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 523 + -534. Let m = 0.17 + -8.67. Let j = m - o. What is j rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/1292 and -50\/4199?\nAnswer: 16796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/68172 and 41\/6?\nAnswer: 68172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of q**4\/4 - q**3\/3 - 6*q**2 - 2*q + 9. What is the tens digit of u(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 193 + -111. Let v = -81.99386 + w. What is v rounded to four decimal places?\nAnswer: 0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 2)\/(7\/(-63)). Let v(c) = -c**3 + 8*c**2 + 11*c - 13. Let b be v(h). Suppose 0 = 3*d - t - 0*t - 94, 5*d + b*t - 190 = 0. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (51\/(-340))\/(2\/(-24))\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v**(6\/13)\/v)*v\/v**(2\/31)*v**14\/(v*(v\/v**(6\/17))\/v) assuming v is positive.\nAnswer: v**(108430\/6851)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 60 - 296. Suppose 4*x - r = 25. Let b = x + -9. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -11*w**3 - w**2 - w - 1. Suppose 2*l - 5 = 7*l. Is i(l) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264519 times -0.4?\nAnswer: -105807.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, q: 2, z: 13, c: 3}. What is prob of sequence cjc?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 12630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 25*g - 579. Calculate c(40).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-2\/11)*a)\/a)\/a**(-4))\/((a\/a**(-1\/4)*a*a*a)\/((a\/a**(-1))\/a)) assuming a is positive.\nAnswer: a**(25\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4344 - -4614.7. Let p = -338 + 78. Let c = r + p. Round c to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - -7)\/((-2)\/(-4)). Let r(w) = w**3 - 6*w**2 + 5*w + 2. Let t be r(5). Suppose 6 = t*f - p. What is the remainder when f is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*d**3\/3 - 420*d**2 + 33075*d\/2.\nAnswer: d*(4*d - 315)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3192.712406 rounded to the nearest integer?\nAnswer: 3193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l**3 - 1542*l**2 - 3077*l + 15. What is n(-2)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18455 and 22146.\nAnswer: 110730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 618 or 5033?\nAnswer: 618","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - ((-8)\/2)\/((-3133)\/(-806)). Is 0 less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 1952?\nAnswer: -1954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -2*s**6\/3 + 12*s**5\/5 - 3*s**4 + 4*s**3\/3 - 7. Factor y(b).\nAnswer: -4*b**2*(b - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 40706520, 81413052, 122119584?\n\"Answer: 40706532*t - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5736, -7176, -9510, -12738?\nAnswer: -16860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {g: 3, e: 5, v: 2, d: 2, f: 7, r: 1}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2540309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence unuu when four letters picked without replacement from {n: 6, u: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-6 + -3 + 5)) + (38 - 66).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1823114 and 33524?\nAnswer: 61985876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 + 0 = -25*a. What is the least common multiple of a and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}